Determine the area of the shaded region

Answer:

10,16,13

Step-by-step explanation:

got that right

The lengths of the sides of the triangle after the dilation is 13 , 10 and 16 respectively

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

Let the triangle be represented as ABC

Now , the dilated triangle is represented as A'B'C'

The dilation scale factor is d = 1/3

The measure of side AC = 39

The measure of side AB = 30

The measure of side BC = 48

Now , after the dilation of 1/3 , we get

The measure of side A'C' = 39 ( 1/3 ) = 13

The measure of side A'B' = 30 ( 1/3 ) = 10

The measure of side B'C' = 48 ( 1/3 ) = 16

Hence , the dilation triangle is having lengths 13 , 10 and 16

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Answer:

see below

Step-by-step explanation:

(-1, -9) is a vertex or minimum.

(-4, 0) is an x-intercept / zero of the function / solution

(2, 0) is also an x-intercept / zero of the function / solution

The parabola has a minimum.

Answer:the answer would be 4. Hope this helps.

Step-by-step explanation:

Using the formula of union of three events, the number of patrons who didn't like any of given coffee drinks = 4.

Union of three events : P(A ∪ B ∪ C) = P(A) + P(B) + P(C) − P(A ∩ B) − P(A ∩ C) − P(B ∩ C) + P(A ∩ B ∩ C).

n (latte ∩ espressos) = 14

n (espressos ∩ cappuccinos) = 11

n (lattes ∩ cappuccinos) = 7

n (latte ∩ espressos ∩ cappuccinos) = 3

n (lattes) = 22

n (espressos) = 30

n (cappuccinos) = 23

n(latte ∪ espressos ∪ cappuccinos) =

= n (lattes) + n (espressos) + n (cappuccinos) - n (latte ∩ espressos) - n (espressos ∩ cappuccinos) - n (lattes ∩ cappuccinos) + n (latte ∩ espressos ∩ cappuccinos)

= 22 + 30 + 23 - 14 - 11 - 7 + 3

= 46

n (universe) = 50

Number of patrons who didn't like any of these drinks =  

= n (universe) - n (latte ∪ espressos ∪ cappuccinos) = 50 - 46 = 4

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The answer to your problem is: X=17

Answer:

17

Step-by-step explanation:

x + 10 + 9x=14x-58

x + 9x + 10 =14x-58

10x + 10 =14x-58

By grouping like terms by moving 14x to the left and 10 to the right of the equation; we have:

10x - 14x =-58-10

-4x=-68

x=-68/-4=17{ dividing both sides by -4}

Answer:

Area of the figure = 169.5 yards²

Step-by-step explanation:

Area of Rectangle = Length × Width

Area of triangle = 1/2(base × height)

We'll divide the whole figure into parts so that we can find the area more easily!

Rectangle 1 (uppermost):

10 × 4 = 40 yards²

Square 1 (right below the rectangle 1):

7 × 7 = 49 yards²

Rectangle 2 (with square 1):

7 × 3 = 21 yards²

Triangle 1 (Below rectangle 2):

1/2(17 × 7) = 119/2 = 59.5 yards²

Now adding up all to get the area of the whole figure:

Area of the figure = 40 + 49 + 21 + 59.5

Area of the figure = 169.5 yards²

Answer:

5 inches is 5 times as big as 1 inch

Answer:

True

True

Step-by-step explanation:

The unknown parameters are treated as variable and data serve as coefficients. The random variables are value whose outcome depends on some random event. The θ can exist when n ≥ 0. A sample mean is a sequence which has normal distribution and n ≥ 1. The sample average of X-n follows normal distribution for all integer and n is greater or equal to 1.

The given statement is True

The unknown parameters should be considered variable and data represent the coefficients. The random variables refers to the value where  outcome based on some random event. The θ could exist at the time when n ≥ 0. A sample mean represent the sequence that contains normal distribution and n ≥ 1.

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Answer: 50 student in the school

Step-by-step explanation: 5x10=50 so that’s the answer.

Answer:

[tex]x=1.464974[/tex]

Step-by-step explanation:

[tex]3^2+1 =3^x+5[/tex]

[tex]9+1 =3^x+5[/tex]

[tex]10 =3^x+5[/tex]

[tex]10-5 =3^x[/tex]

[tex]5=3^x[/tex]

[tex]log(3x)=log(5)[/tex]

[tex]x \times (log(3))=log(5)[/tex]

[tex]x=\frac{log(5)}{log(3)}[/tex]

[tex]x=1.464974[/tex]

Answer: 1.46497352 or 1.5

Step-by-step explanation:

Complete 3^2 to get 9, then add 1 to get 10

Then subtract 5 from both sides to get [tex]5=3^x[/tex]

Youre gonna have to apply a log rule here to get:

[tex]log_{3}5=x[/tex]

You get 1.46497352 or approximately 1.5

Answer:

1.7%

Step-by-step explanation:

We have to calculate the probability that the salesperson will make four or more sales if six sales calls are made on a given day, that is:

P (x => 4)

Therefore, we must calculate when x = 4, when x = 5, and when x = 6 and add. p = 0.2, n = 6

P (x = r) = nCr * p ^ r * (1 - p) ^ (n-r)

Also, nCr = n! / (r! * (n-r) !, now replacing:

P (x = 4) = 6! / (4! * (6-4)! * 0.20 ^ 4 * 0.80 ^ (6-4)

P (x = 4) = 15 * 0.001024 = 0.01536

P (x = 5) = 6! / (5! * (6-5)! * 0.20 ^ 5 * 0.80 ^ (6-5)

P (x = 5) = 6 * 0.000256 = 0.001536

P (x = 6) = 6! / (6! * (6-6)! * 0.20 ^ 6 * 0.80 ^ (6-6)

P (x = 6) = 1 * 0.000064 = 0.000064

now,

P (x => 4)  = P (x = 4) + P (x = 5) + P (x = 6)

P (x => 4)  = 0.01536) + 0.001536 + 0.000064

P (x => 4) = 0.01696 = 0.017

It means that the probability is 1.7%

Answer:

Sorry, I cant understand rewrite it again.

Answer:   -9  ≤ f(6) - f(3)  ≤ 15

Step-by-step explanation:

In order to use the Mean Value Theorem, it must be continuous and differentiable. Both of these conditions are satisfied so we can continue.  

Find f(6) - f(3) using the following formula:

[tex]f'(c)=\dfrac{f(b)-f(a)}{b-a}[/tex]

Consider:    a = 3, b = 6

[tex]\text{Then}\ f'(c)=\dfrac{f(6)-f(3)}{6-3}\\\\\\\rightarrow \quad 3f'(c)=f(6) - f(3)[/tex]          

Given: -3 ≤  f'(x)  ≤ 5

          -9  ≤ 3f'(c) ≤ 15    Multiplied each side by 3

→   -9  ≤ f(6) - f(3)  ≤ 15  Substituted 3f'(c) with f(6) - f(3)

Answer:

I think its C. All students in each grade

Step-by-step explanation:

because it should be the students choice.

Answer:

multiply by -3

Step-by-step explanation:

1/3 gives -3/3=-1

-1*-3=3

3*-3=-9

it defines the function f so that f(x)=-3x

Given:

2x -3 > 11 -5x

Simplify both sides:

2x - 3 > -5x + 11

Add 5x to both sides:

2x - 3 +5x > -5x + 11 +5

7x - 3 > 11

Add 3 to both sides:

7x - 3 +3 > 11 + 3

7x > 14

Divided 7 to both sides:

[tex]\frac{7x}{7}[/tex] > [tex]\frac{14}{7}[/tex]

x > 2

Answer:

Any number greater than 2 would be the answer. In Edg, choose 4! Choosing 2 would be incorrect in their system.

Step-by-step explanation:

88°

Step-by-step explanation:

sum of angle=720

95+120+120+172+125+x=720

632+x=720

×=720-632

x=88

Answer:

[tex] \boxed{x \degree = 88 \degree} [/tex]

Step-by-step explanation:

Sum of the interior angles of a hexagon is 720°

[tex] = > x \degree + 172 \degree + 120 \degree + 95 \degree + 120 \degree + 125 \degree = 720 \degree \\ \\ = > x \degree + 172 \degree + 240 \degree + 220 \degree = 720 \degree \\ \\ = > x \degree + 172 \degree + 460 \degree = 720 \degree \\ \\ = > x \degree + 632 \degree = 720 \degree \\ \\ = > x \degree = 720 \degree - 632 \degree \\ \\ = > x \degree = 88 \degree[/tex]

Answer:

A'(4,-6) , B'(0,1), C'(-2,-2)

Step-by-step explanation:

From the given graph the coordinates of ΔABC area A (2,-2), B(-2,5) and C(-4,2)

If a translation is applied on ΔABC two units to the right and four units down  to create ΔA'B'C'.

Then to find the coordinates of ΔA'B'C' will be we need to apply the translation rule

[tex](x,y)\rightarrow(x+2,y-4)[/tex]

Now, [tex]A(2,-2)\rightarrow A'(2+2,-2-4)=A'(4,-6)[/tex]

[tex]B(-2,5)\rightarrow B'(-2+2,5-4)=B'(0,1)[/tex]

and [tex]C(-4,2)\rightarrow C'(-4+2,2-4)=C'(-2,-2)[/tex]

Answer:

  A. right

Step-by-step explanation:

Replacing x with (x-h) in a function shifts the graph to the right h units.

__

See the attachment for an example.

Answer:

Yes. There is enough evidence to support the claim that college students who pay their credit card balance in full each month have a mean balance that is lower than $905.

Step-by-step explanation:

We want to test the claim that college students who pay their credit card balance in full each month have a mean balance that is lower than $905.

To perform this test we have a sample of 500 students which have paid their balance in full each month. The sample mean is $825 and the estimated sample deviation is considered $200.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=905\\\\H_a:\mu< 905[/tex]

The significance level is 0.05.

The sample has a size n=500.

The sample mean is M=825.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{200}{\sqrt{500}}=8.94[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{825-905}{8.94}=\dfrac{-80}{8.94}=-8.94[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=500-1=499[/tex]

This test is a left-tailed test, with 499 degrees of freedom and t=-8.94, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t<-8.94)=0[/tex]

As the P-value (0) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that college students who pay their credit card balance in full each month have a mean balance that is lower than $905.

Answer:

There is a 3/5 chance of the first ball being white, and a 3/10 chance the second one is black.

Step-by-step explanation:

There are 5 balls, of which 3 are white, so you have a 3/5 chance of the first one being white. Then you have 2 white and 2 black balls. There is a 2/4 chance of picking a black ball. Multiply 3/5 and 2/4 to get 6/20, or 3/10 for choosing a white ball then a black ball.

Answer:

The 80% confidence interval for the the population mean nitrate concentration is (0.144, 0.186).

Critical value t=1.318

Step-by-step explanation:

We have to calculate a 80% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=0.165.

The sample size is N=25.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

[tex]s_M=\dfrac{s}{\sqrt{N}}=\dfrac{0.078}{\sqrt{25}}=\dfrac{0.078}{5}=0.016[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=25-1=24[/tex]

The t-value for a 80% confidence interval and 24 degrees of freedom is t=1.318.

The margin of error (MOE) can be calculated as:

[tex]MOE=t\cdot s_M=1.318 \cdot 0.016=0.021[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=M-t \cdot s_M = 0.165-0.021=0.144\\\\UL=M+t \cdot s_M = 0.165+0.021=0.186[/tex]

The 80% confidence interval for the population mean nitrate concentration is (0.144, 0.186).

Answer:

[tex]192ft^2[/tex]

Step-by-step explanation:

The model of a patio was made by

using 1/2 inch square title=4 square feet.

area represented by the 8 *6 model can be calculated as follows;

FIRSTLY, the number of tiles in the 8 *6 model can be calculated by multiplying it i.e

8 *6 model =[tex]48 tiles[/tex]

Hence there are 48 tiles in 8 *6 model

It was given that 1/2 inch square title=4

square feet.

So to calculate the total Area occupied by the 48 tiles

[tex]Area=1/2×48[/tex]

[tex]Area=24inches^2[/tex]

If [tex]1/2inches^2=4ft^2[/tex] ( from the question)

Let X represent [tex]24inches^2[/tex]

Then, [tex]24inches^2=Xft^2[/tex]

Cross multiply

[tex]4×24=X×1/2

X=4×24×2

X=[tex]192ft^2[/tex]

[tex]24inches^2=[tex]192ft^2[/tex]

Therefore, the area represented by the 8 *6 model is [tex]192ft^2[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

In step 1 Angela used the distributive property to eliminate both sets of parentheses. In step 2, she found each of the products she indicated in step 1. In step 3, she combined like terms.

Answer:

the answer is a,d,e

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

f(3) = 2(3)^2 +5(x-2)

= 2(18)+ 5

= 41

Answer:

0.3182 = 32.81% probability that a randomly selected acre has between 32647 and 43559 ants.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 42000, \sigma = 12275[/tex]

Find the probability that a randomly selectd acre has between 32647 and 43559 ants.

This is the pvalue of Z when X = 43559 subtracted by the pvalue of Z when X = 32647. So

X = 43559:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{43559 - 42000}{12275}[/tex]

[tex]Z = 0.13[/tex]

[tex]Z = 0.13[/tex] has a pvalue of 0.5517.

X = 32647:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{32647 - 42000}{12275}[/tex]

[tex]Z = -0.76[/tex]

[tex]Z = -0.76[/tex] has a pvalue of 0.2236

0.5517 - 0.2236 = 0.3281

0.3182 = 32.81% probability that a randomly selected acre has between 32647 and 43559 ants.

Answer:

x=55,y=14

Step-by-step explanation:

<M = <{opposite angles of a parallelogram are congruent and equal}

Hence 3x-55 = 2x=>3x-2x= 55 =>x=55

Simarly;

M+N=180°{ sum of angles in a parallelogram is 180°}

N= 180°-M=>N=180-(3x-55)=180-(3x55-55)= 180- 110=70°

N=70°=>5y=70=>y=70/5=14

therefore x=55,y=14

Answer:

55 and 14

Step-by-step explanation:

i just took the test

Answer:

12

Step-by-step explanation:

8x=96

x=96/8

x=12

Answer:

12

Step-by-step explanation:

8x=96

96/8

x=12

so the the product of 8and 12=96

Step-by-step explanation:

p = x / n

p = 550 / 1083

p = 0.5078

Answer:

Both F and Z have symmetry.

Answer:

112

Step-by-step explanation:

Difference between each 4,8,7,5,1

Add numbers next to each other in pairs = 12

So 12-1= 11 and

101+11=112