The Mountain States Office of State Farm Insurance Company reports that approximately 84% of all automobile damage liability claims were made by people under 25 years of age. A random sample of ten automobile insurance liability claims is under study.

Answers

Answer 1

The mean will be 10.08 and the standard deviation will be 1.27.

The complete question is given below:-

The Mountain States Office of State Farm Insurance Company reports that approximately 84% of all automobile damage liability claims were made by people under 25 years of age. A random sample of twelve automobile insurance liability claims is under study.

Find the mean and standard deviation of this probability distribution.

For samples of size 12, what is the expected number of claims made by people under 25 years of age?

What is mean?

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

Standard deviation is defined as the amount of variation or the deviation of the numbers from each other.

Given that:-

The Mountain States Office of State Farm Insurance Company reports that approximately 84% of all automobile damage liability claims were made by people under 25 years of age.We need to find For samples of size 12, what is the expected number of claims made by people under 25 years of age?

The mean will be calculated by the formula below:-

Mean = [tex]\mu[/tex] = np = 12 x 0.84 = 10.08

The standard deviation will be calculated as:-

Standard deviation = [tex]\sqrt{npq}[/tex] = [tex]\sqrt{12\times 0.84\times 0.16}[/tex] = 1.27

Therefore the mean will be 10.08 and the standard deviation will be 1.27.

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Related Questions

Examine the following three premises: i. All kids who have a smartphone play mobile legends.
ii. All people who play mobile legends enjoy life.
iii. Some college instructors enjoy life. Now consider each of the following six conclusions. For each conclusion, determine whether the argument formed by the three premises and the conclusion is valid or invalid.
1. Therefore, some college instructors have a smartphone.
2. Therefore, some college instructors play mobile legends.
3. Therefore, some kids who play mobile legends are college instructors. Examine the following three premises :
i . All kids who have a smartphone play mobile legends .
ii . All people who play mobile legends enjoy life .
iii . Some college instructors enjoy life . Now consider each of the following six conclusions . For each conclusion , determine whether the argument formed by the three premises and the conclusion is valid or invalid .
1. Therefore , some college instructors have a smartphone .
2. Therefore , some college instructors play mobile legends .
3. Therefore , some kids who play mobile legends are college instructors .​

Answers

Answer:

The increasing number of students who are hooked on playing online mobile games (OMG) is alarming. As such, this study was realized to address the problem. This study assessed the gaming profile towards OMG and its relation to the academic performance of the engineering students of Eastern Visayas State University Tanauan Campus (EVSUTC). Specifically, the study investigated the correlation between student's number of hours spent on playing OMG (at school and home), commonly played OMG (at school and home), reasons for playing OMG and attitudes on playing OMG with academic performance utilizing Eta and Pearson r correlation analyses. A random sample of 134 student respondents were selected through purposive sampling of those who are playing OMG using their mobile phones. Descriptive correlational research design was utilized and a validated survey instrument was employed to gather the needed information. The findings revealed that majority of the students played mobile legends and spent mostly 2 hours playing OMG for a reason of boredom. The overall attitudes of the students on playing OMG were interpreted as Less Favorable (M=2.58, SD=1.13). Out of the independent variables being set in the study, the number of hours spent on playing OMG at home (r=-0.188, p=0.039) and commonly played OMG at school (r=0.203, p=0.045) were found significantly correlated with student's academic performance. Hence, the students' time spent on playing OMG at home and the type of games that students played at school have significant bearing to their academic performance. As such, delimiting student's usage of internet can be made to address the problem.

Karen runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?

Answers

She would run 10.5 miles

Answer :

10.5 miles

Given :

7 miles in 50 mins

Step-by-step explanation :

Calculate how many miles in 1 minute :

Divide both by 50 :

7/50 miles in 1 minute

To work out 75 minutes we multiply both by 75 :

75 × 7/50 =

10.5

Therefore our final answer is 10.5 miles

Hope this helped and have a good day

PLEASE HELP ASAP! Consider the scatter plot. Complete the equation that models the curve of best fit for this data.

curve of best fit: f(x)

Answers

The equation that models the curve of best fit for this data will be y = 1.4646·(1.818)ˣ.

What is an exponent?

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

Consider the scatter plot.

Then the equation that models the curve of best fit for this data will be

At (1.2, 3), then we have

[tex]\rm 3 =ab^{1.2}[/tex] ..........1

At (4, 16), then we have

16 = ab⁴  ..........2

By solving the equations 1 and 2, we have

a = 1.4646 and b = 1.818

Then the equation will be

y = 1.4646·(1.818)ˣ

Then the graph is drawn.

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Is the point (11, 15) on the circle defined by (x-9)² + (y-15)² = 4?
O Yes
O No

Answers

No don't take the points (-5,2) and (-3,-4) as the diameter of the circle, this might be a chord.

The center would always be at the perpendicular bisector of two chord or one chord and a tangent.

That's why first one is wrong and second one right.

Given the two similar triangles below, which proportion is not true?

Answers

The proportion of sides of the triangle which is not true are 13.5/21 = 9/14, 9/13.5 = 6/21 and 14/6 = 21/9

Proportion

The three sides of each of the rectangles should be proportional to each other

Triangle A : Triangle B

9 cm : 13.5 cm

= 9/13.5

14 cm : 21 cm

= 14 cm / 21 cm

6 cm : 9 cm

= 6 cm / 9 cm

Therefore, the proportion of sides of the triangle which is not true are 13.5/21 = 9/14, 9/13.5 = 6/21 and 14/6 = 21/9

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Which expression
is equivalent to 4(x+2)?

Answers

Answer:

[tex]\huge\boxed{\sf 4x + 8}[/tex]

Step-by-step explanation:

Given expression:

= 4(x + 2)

Distribute

= 4x + 8

[tex]\rule[225]{225}{2}[/tex]

Detailed Answer:

= 4(x + 2)
= 4 * x + 4 * 2
=> 4x + 8

If 4x + 8 is an Option, then that is the Correct Answer. Since options are not given, I don’t know which option corresponds to this Answer.

If the sum of a number and eight is doubled the result is five less than the number find the number

Answers

Answer: -21

Step-by-step explanation:

Let the number be x.

Then, this means 2(x+8)+5=x.

2x+16+5=x [distributive property]2x+21=x [combine like terms]x+21=0 [subtract x from both sides]x= - 21 [subtract 21 from both sides]

9x+9y=9. Solve for Y

Answers

Answer:

y = 1 - x

Step-by-step explanation:

9x + 9y = 9 ( divide through by 9 )

x + y = 1 ( subtract x from both sides )

y = 1 - x

Answer:

y = 1 - x

Step-by-step explanation:

9x + 9y = 9

First, take 9x to the right side.

9y = 9 - 9x

9y = 9 ( 1 - x )

Divide both sides by 9.

y = 1 - x

Select the correct answer from each drop-down menu. y 11 10 Weight (kilograms) 9 00 7 CO 5 3 2 1 5 6 7 Age (months) The scatter plot shows the weight of a child each month. 1 rights reserved 2 3 4 The birth weight of the child is V X 8 9 10 11 kilograms. The child gains an average of per month. Select the correct answer from each drop - down menu . y 11 10 Weight ( kilograms ) 9 00 7 CO 5 3 2 1 5 6 7 Age ( months ) The scatter plot shows the weight of a child each month . 1 rights reserved 2 3 4 The birth weight of the child is (blank) kilograms . The child gains an average of(blank) per month .​

Answers

Answer:

its wrong answer and question

()
8
What is 11 - 2³?

Answers

Answer:

[tex]11 - 2 {}^{3} [/tex]

[tex]11 - 8[/tex]

[tex]3[/tex]

Two fire trucks on the ground on either side of a burning building or 1.3 miles apart. they each measure the angle of elevation to the fire which are 58° and 52°. How far is each truck from the fire? Please help ASAP thank you so much!

Answers

The distance of the first truck from the fire is 0.578 mile and the distance of the second truck from fire is 0.722 mile.

Distance of each truck from the fire

Using sine rule, we find the length of AB and BC as shown in the image.

a/sin A = b/sin B = c/sin C

Angle C = 180 - (58 + 52) = 70⁰

1.3/(sin 70) = b/(sin 52)

b = (1.3sin 52) / (sin 70)

b = 1.09 mile

c = (1.3sin 58) / (sin 70)

c = 1.1732 miles

Bisect angle C, and use sine rule again to find the lengths of bisected line AB.

1.09/(sin 90) = x/[sin (90 - 58)]

1.09/(sin 90) = x/(sin 32)

x = (1.09 sin 32)/(sin 90)

x = 0.578 mile

Truck B's position from the fire = 1.3 miles - 0.578 mile = 0.722 mile

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Which statement describes the relationship between x and y?

As x increases, y decreases.
As x increases, y increases.
As x increases, y increases and then decreases.
As x increases, y decreases and then increases.

Answers

Were you not given a diagram?

Convert base ten to numeral 3 to base 3?

Answers

Answer:

10 in base 3

Step-by-step explanation:

3 in base 10 =   10 in base 3

Solve -6 < 2x + 4 ≤ 16

Answers

Answer:

Step-by-step explanation:

Solve -6 < 2x + 4 ≤ 16

To solve for x, we need to simplify the statement.

let's get rid of the 4 that is added to 2x.

do that by subtracting 4 on all sides (3 sides).

-6 - 4 < 2x + 4 - 4 ≤ 16-4

We get: -10 < 2x ≤ 12

Now, let's get rid of the 2 that gets multiplied to x.

do that by dividing all sides by 2.

-10 : 2 < 2x : 2 ≤ 12 : 2

We get: -5 < x ≤ 6

X = {-4,-3,-2,-1,0,1,2,3,4,5,6}

Hope I helped!

Write the domain and range using interval notation

Answers

The domain of the graph is [-3, 2) and the range is (-4, 5]

How to determine the domain and the range?

From the given graph, we have the following highlights:

Minimum x value = -3 (closed circle)Maximum x value = 2 (open circle)Minimum y value = -4 (open circle)Maximum y value = 5 (closed circle)

Open circles are represented with () while closed circles are represented with []

Hence, the domain of the graph is [-3, 2) and the range is (-4, 5]

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Find the truth set of each predicate.

Answers

The truth set for each predicate are:

a) d ∈ { -6, -3, -2, -1, 1, 2, 3, 6}

b) d ∈ {  1, 2, 3, 6}

c) x ∈ { [-2, -1] U [1, 2]}

d) x ∈ {-2, -1, 1, 2}

How to find the truth set of each predicate?

We only need to find the sets of values such that the statements are true.

a)

We want to find vales of d, such that d is an integer, and 6/d is an integer.

Here the possible values of d will be:

d ∈ { -6, -3, -2, -1, 1, 2, 3, 6}

Which are all the factors of 6, so all these integers divide 6.

b) Same as before, but this time the domain is a positive integer, so now the truth set will be:

d ∈ {  1, 2, 3, 6}

c) We want to find real values of x such that:

1 ≤ x² ≤ 4

If we apply the square root to the 3 sides, we get two inequalities:

-√1 ≥ x ≥ -√4

√1 ≤ x ≤ √4

Simplifying:

-1  ≥ x ≥ -2

1  ≤ x ≤ 2

So the truth set is:

x ∈ { [-2, -1] U [1, 2]}

c) Same as before, but now we only have integer solutions, so the truth set is:

x ∈ {-2, -1, 1, 2}

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GOD PLEASE HELP!
Which of these is NOT a key factor that contributed to the financial crisis that started in 2007?

bond rating agencies giving CDOs very low ratings, discouraging investors to invest

highly leveraged investment accounts that magnified losses when bond prices decreased

excessive use of subprime mortgages to borrowers with poor credit

banks being incentivized to sell risky mortgages as mortgage-backed securities

Answers

Answer:

i think, bond rating agencies giving CDOs very low ratings, discouraging investors to invest

Step-by-step explanation:

Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3

Answers

A quadratic equation is an equation whose leading coefficient is of the second degree. The correct options are A, B, and E.

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c. The Roots of the quadratic equation:

[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

The complete question is:

Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options.

8(x2 + 2x + 1) = –3 + 8

x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot

x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot

8(x2 + 2x + 1) = 3 + 1

8(x2 + 2x) = –3

If we simplify the given options, then the option that is correct is,

A.) 8(x² + 2x + 1) = –3 + 8

     8x² + 16x + 3 = 0

B.) 8x² + 16x + 3 = 0

[tex]x = \dfrac{-16\pm\sqrt{16^2-4(8)(3)}}{2(8)}\\\\x = -1 \pm \dfrac{\sqrt{10}}{4}\\\\x = -1 \pm \sqrt{\dfrac{10}{16}}\\\\x= -1 \pm \sqrt{\dfrac{5}{8}}[/tex]

E.) 8(x² + 2x) = –3

8x² + 16x + 3 = 0

Hence, the correct options are A, B, and E.

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Express the division form of a+bi (1+3i) divided by (2+i)

Answers

Answer should be 1+1i

What is the reciprocal of (10xyz)/(40xyz)

Answers

Answer:

4

Step-by-step explanation:

10xyz/40xyz

the xyz would cancel out

leaving 10/40.

10/40 would then simplify to 1/4 (divide by 10)

1/4

The reciprocal of 1/4 is 4

To check:

1/4 * 4 = 1

find the perimeter: (use 3.14 for pi):

Answers

Answer:

10.676 mm

Step-by-step explanation:

The perimeter of a circle (circumference) formula is 2*(3.14)*r. Therefore since r is 1.7,  2*3.14*1.7 = 10.676 mm.

Hope this helps!!! Please mark me as brainliest!!!

Answer is 10.(A). Jus use your calculator

Which is true regarding the graphed function f(x)?
• f(O) = 3
• f(5) = - 1
• f(3) = 2
O f(2) = -2

Answers

Answer:

f(5) = -1

Step-by-step explanation:

The points on the graph are (0,4), (1,3),(2,2), (3,1), (4,0), (5,-1).

The answers are in the form:

f(x) = y

That is, the number in the parenthesis is the x and the number by itself on the right is the y. The only one that is a point on the line is f(5) = -1, which is the point (5,-1)

HELLPP

Let n be the middle number of three consecutive even integers. Write an expression for the sum of these integers.
sum of the integers?

Answers

Detailed Answer:

Let ‘n’ be the middle term of three consecutive even integers. Therefore, (n) is also an even number. Hence, the even number preceding it will be (n - 2) and the even number after it will be (n + 2), since we need consecutive even integers.

Hence, we have (n - 2), (n), (n + 2).

Sum of the Integers :-
= (n - 2) + (n) + (n + 2)
= n - 2 + n + n + 2
= n + n + n + 2 - 2
= n + n + n
=> 3n

The volume of a cylinder is given by the formula V = 3.14rh, where r is the radius of the cylinder and h is the height. Suppose a cylindrical can has radius (x+8) and height (2x+3). Which expression represents the volume of the can?

O (pi)x^3 + 19(pi)x^2 + 112(pi)x + 192(pi)

O 2(pi)x^3 + 35(pi)x^2 + 80(pi)x + 48(pi)

O 2(pi)x^3 + 35(pi)x^2 + 176(pi)x + 192(pi)

O 4(pi)x^3 + 44(pi)x^2 + 105(pi)x + 72(pi)

Answers

The expression which represents the volume of the cane will be 2(pi)x^3 + 35(pi)x^2 + 176(pi)x + 192(pi)

The most fundamental of curvilinear geometric forms, a cylinder has historically been a three-dimensional solid. From a geometric perspective, it may be compared to a prism with a circle as its basis.

Given the volume of a cylinder is given by the formula V = 3.14r^2h, where r is the radius of the cylinder and h is the height and suppose a cylindrical cane has radius (x+8) and height (2x+3)

We have to find expression which represents the volume of the cane

So as per given,

r = x+8

h = 2x + 3

v = πr²h

v = π(x+8)²(2x+3)

v = π(x²+64+16x)(2x+3)

v = π(2x³+128x+32x²+3x²+192+48x)

v = π(2x³+35x²+176x+192)

v = π2x³+π35x²+π176x+π192

Hence the expression which represents the volume of the cane will be 2(pi)x^3 + 35(pi)x^2 + 176(pi)x + 192(pi)

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Given 4 c 5 not-equals 0 and c is a real number, what is the multiplicative inverse of 4 c 5 not-equals 0 0 1 startfraction 1 over 4 c 5 end fraction startfraction 1 over 4 c endfraction 5

Answers

The multiplicative inverse of the expression 4c + 5 is 1/(4c + 5)

Complete question

Given 4c + 5 ≠ 0 and c is a real number, what is the multiplicative inverse of 4c + 5

How to determine the multiplicative inverse?

The expression is given as:

4c + 5

The multiplicative inverse of an expression x is 1/x

This means that:

The multiplicative inverse of the expression 4c + 5 is 1/(4c + 5)

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The table below shows the average SAT math scores from 1993-2002.

Year
SAT math scores
1993
503
1994
504
1995
506
1996
508
1997
511
1998
512
1999
511
2000
514

Using the data from the table determine if there is a linear trend between the year and the average SAT math scores and determine if there is an exact linear fit of the data. Describe the linear trend if there is one.
a.
Positive linear trend, an exact linear fit.
b.
Positive linear trend, not an exact linear fit.
c.
Negative linear trend, not an exact linear fit.
d.
Negative linear trend, an exact linear fit.


Please select the best answer from the choices provided

A
B
C
D
Mark this and return

Answers

According to the information in the table, it can be inferred that the trend of the results is positive but does not have an exact linear fit (option B).

How to calculate the average of the results?

To calculate the average of the results we must add all the results and divide the result by the number of years as shown below.

503 + 504 + 506 + 508 + 511 + 512 + 511 + 514 = 4069

4069 ÷ 8 = 508.6

Additionally, to identify if the trend is positive or negative, we must see if the results increase or decrease year after year. From the above, it is possible to infer that it is a positive trend.

On the other hand, it can be stated that it does not have an exact linear fit because the increase is not constant each year.

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The radius of a circle is 0.00012 * 10 ^ 5 * f * t . What is the area of the circle? Use the formula A = pi * r ^ 2

Answers

Answer: [tex]144\pi[/tex] square feet

Step-by-step explanation:

[tex]A=\pi(0.00012 \times 10^{5})^{2}=\boxed{144\pi \text{ ft}^{2}}[/tex]

Which represents the reflection of f(x) = StartRoot x EndRoot over the y-axis?

A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, 1, 2.
A 2-column table has 4 rows. The first column is labeled x with entries negative 1, 0, 1, 4. The second column is labeled f (x) with entries undefined, 0, negative 1, negative 2.
On a coordinate plane, an absolute value graph starts at (0, 0) and goes to the left through (negative 4, 2).
On a coordinate plane, an absolute value graph starts at (0, 0) and goes up and to the left through (negative 2, 4).

Answers

The reflected function is g(x) = √(-x).

And the correct option is the third one.

Which table represents the reflection?

Remember that for a function f(x), a reflection across the y-axis gives:

g(x) = f(-x).

In this case, the original function was:

f(x) = √x

Then we have:

g(x) = √(-x).

So we can only evaluate this function in values of x such that:

x ≤ 0.

Then the correct option is:

"On a coordinate plane, a graph starts at (0, 0) and goes to the left through (negative 4, 2)."

As when we evalute g(x) in -4, we get:

g(-4) =  √(-(-4)) = √4 = 2

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Answer:

C

Step-by-step explanation:

The percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995.
(A) Predict when the percentage will be 47%
(B) Predict the percentage in 2005.

Answers

Using a linear function, we have that:

The percentage will be 47% during the year of 2001.The predicted percentage in 2005 is of 44.97%.

Given that, the percentage of automobile consumers who are under 50 years of age decreased approximately linearly from 58.8% in 1980 to 50.5% in 1995.

What is a linear function?

Linear functions are those whose graph is a straight line. The standard form of the linear function is f(x)=y= mx + b. A linear function has one independent variable and one dependent variable.

Where, m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0 and can also be interpreted as the initial value of the function.

The percentage in 1980 is considered as the initial amount, so b = 58.8. In 15 years, the percentage decreased from 58.8% to 50.5%, hence the slope is given by: m = (50.5 - 58.8)/15 = 0.5533.

Thus, the percentage in t years after 1980 is P(t) = 58.8 - 0.5533t.

Now, t + 1980, for which P(t) = 47.

So, P(t) = 58.8 - 0.5533t

47 = 58.8 - 0.5533t.

0.5533t = 11.8.

t = 11.8/0.5533

t = 21.3.

1980 + 21 = 2001, so the percentage will be 47% during the year 2001.

Now, 2005 is 25 years after 1980, so the percentage is P(25), given as follows: P(25) = 58.8 - 0.5533x25 = 44.97%.

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The price of a Delta airline ticket from Los Angeles to Boston increased to $440. This is a 15% increase. What was the old fare?

Answers

Answer: 374 is the old fare of the ticket form Los Angeles To Boston!!

Explanation: you would have to divide the $440 which is your right now price with the 15% increase that was put so then you would find out the actual number of how much was added which comes out to be( $66)!!

Hope this helps!!^^^^
Other Questions
The _____ characteristic of an intelligent agent demonstrates its ability to learn from previous knowledge and go beyond information given previously find the length of AD Which statement best describes scientists who contributed to the current body of science knowledge What is the measure of an angle if it is 120 lessthan four times its own supplement? The figure shows the letter M and four of its transformed imagesA, B, C, and D:A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. An image of the letter M is shown on ordered pair 1, 2 and 1, 4 and 2, 3 and 3, 12, and 3, 4. Another image of letter M is shown on ordered pair 4, negative 4 and 4, negative 2 and 5, negative 3 and 6, negative 2 and 6, negative 4. This M is labeled as B. Another image of letter M labeled C is shown on negative 4, negative 4 and negative 4, negative 2 and negative 3, negative 3 and negative 2, negative 2 and negative 2, negative 4. An image of the letter W labeled A is shown on 1, negative 2 and 1, negative 4 and 2, negative 3 and 3, negative 2 and 3, negative 4. Another image of the letter W labeled D is shown on negative 2, 4 and negative 2, 2 and negative 3, 3 and negative 4, 2 and negative 4, 4. The letters A, B, C, D are written towards the bottom left of the respective W and M. Which of the four images was formed by a reflection of the letter M? A B C D Match each sentence with the type of error or errors you see in each.Maribel, t eres bonita y guapa. Tienes 28 aos y eres de Lima, per.Me llamo Erica. Tengo quince aos. Soy alta y bonita. Yo soy de Mexico.Yo tengo diecisis anos y usted tiene quince. Soy grande y usted es pequea y bonita.Yo tengo el pelo castao y soy baja. Cmo erres? Erres alta o baja, rubia o pelirroja?A) Words missing tildeB) Misspelled wordC) Word needs capitalizationD) Word needs accent What prompted France to fight on the colonial side during the Revolutionary War?the formation of the Continental CongressBenjamin Franklins negotiations on behalf of the coloniesthe colonial victory at the Battle of SaratogaBritains victory at the Battle of Saratoga Triangle XYZ, with vertices X(-2, 0), Y(-2, -1), and Z(-5, -2), undergoes a transformation to form triangle XYZ, with vertices X(4, -2), Y(4, -3), and Z(1, -4). The type of transformation that triangle XYZ undergoes is a .Triangle XYZ then undergoes a transformation to form triangle XYZ, with vertices X(4, 2), Y(4, 3), and Z(1, 4). The type of transformation that triangle XYZ undergoes is a . What executive-branch official also has a role in the legislative branch?A. attorney generalB. lieutenant governorC. state treasurerD. speaker of the houseplease help!!!!! Read the sentence. it always makes some students uncomfortable. which revision best establishes clarity? taking tests makes us uncomfortable. it always makes some students uncomfortable taking tests. it always makes some students, taking tests, uncomfortable. taking tests always makes some students uncomfortable. What is surface tension? Describe how surface tension in water is useful for plants and animals.This is not multiple choice, I need help please :') From the observation deck of a skyscraper, Lavaughn measures a 42 angle of depression to a ship in the harbor below. If the observation deck is 872 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary I can not get number 2 right at all. Fill in the blank with the verb estar + word If a = 6, then the value of c is... 1. ministered to the Samaritans with Peter Peter 2. Jesus told her He was the Messiah Holy Spirit 3. trusted Jesus and was baptized by Philip love 4. first Christian converted through Paul's ministry in Philippi sin 5. found his brother and brought him to Jesus Lydia 6. deacon-evangelist who ministered in Samaria Ethiopian eunuch 7. learned that Gentiles were not unclean Philip 8. directed Philip to a person reading Isaiah home 9. what Christ desires for His church faith 10. something to which the Word of God is likened John 11. a tactic of Satan to prevent witnessing Andrew 12. one thing necessary in a person's salvation hammer 13. a place to show hospitality unity 14. the root of the two greatest commandments fear 15. the Holy Spirit convicts people of this Samaritan woman A ___________ is a benign, fluid-filled sac that develops in the anterior testis write about our role to develop good characters in our junior at home in schools Solve for x in the equation 4/x-3=x x + 4y = -102x - y = 7 Difference between male and female pelvis