Please help quick!!!

Answer:

15

Step-by-step explanation:

Given that:

Mean (μ) = 1500

Standard deviation (σ) = 150

Sample size = 100

Mean (m) = 1400

Margin of Error of sample :

Standard deviation / √sample size

σ / √n

150 / √100

150 / 10

= 15

Answer:

Hope this helped C:

Step-by-step explanation:

a) 149

b) 112

c) 18

d) -8   you subtract -14 from -22

e) -3.3   you subtract -2.8 from -6.1

f) -0.16  

convert the fractions to decimals and then add 0.3(3/10) and -0.46(7/15)

Answer:

A

Step-by-step explanation:

The common difference d in an arithmetic sequence is

a₂ - a₁ = a₃ - a₂ , substitute values

4y + 1 - (y + 3) = 8y - 3 - (4y + 1) ← distribute both sides and simplify

4y + 1 - y - 3 = 8y - 3 - 4y - 1

3y - 2 = 4y - 4 ( subtract 3y from both sides )

- 2 = y - 4 ( add 4 to both sides )

2 = y → A

Answer:

13

Step-by-step explanation:

19=209

 ?=143

19*143

=2717

2717/209

=13

Answer:

I need more information to solve

Step-by-step explanation:

Answer:

Yes.

∆CAB ≅ ∆XYZ by AAS Congruence Theorem.

Step-by-step explanation:

There's enough information provided in the diagram above for us to prove that ∆CAB is congruent to ∆XYZ.

From the diagram, we cam observe the following:

<A ≅ <Y

<B ≅ <Z

side CA ≅ XY

Using the Angle-Angle-Side (AAS) Congruence Theorem, since two angles, <A and <B, and a non-included side, CA, in ∆CAB are congruent to two the corresponding angles, <X and <Z, and a non-included side, XY, in ∆XYZ, then ∆CAB is congruent to ∆XYZ.

Answer:

$432.9

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:

[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = $400, σ = $20

P(z > z*) = 0.05

P(z < z*) = 1 - 0.05 = 0.95

z* = 1.645

[tex]z=\frac{x-\mu}{\sigma} \\\\1.645=\frac{x-400}{20}\\\\x-400=32.9\\\\x=432.9[/tex]

Therefore $432.9 should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05.

Answer:

[tex]\frac{5}{3}[/tex] cups

Step-by-step explanation:

Jacob mixes [tex]\frac{1}{3}[/tex] cup of yellow paint for every [tex]\frac{1}{5}[/tex] cup of blue paint to make green paint.

The ratio of yellow paint to blue paint =  [tex]\frac{1}{3} : \frac{1}{5}[/tex]

                                                              = 5:3

 [tex]\frac{1}{5}[/tex] cup of blue paint =  [tex]\frac{1}{3}[/tex] cup of yellow paint

 1 cup of blue paint =  [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{5}[/tex] cup of yellow paint

⇒ [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{5}[/tex]

⇒ [tex]\frac{5}{3}[/tex]

Hence, For 1 cup of blue paint needed [tex]\frac{5}{3}[/tex] cups of yellow paint.

Answer:

1) -3,1

2)-4,4

3)4,4

4)-3,4

5)-2,-4

6)-4,1

7)-1,4

8)3,-3

Answer:

±2√21.

Step-by-step explanation:

First, you break 84 down into √4⋅√21.

That is equal to ±2√21.

Hope I helped! Please mark Brainliest!

Answer:  2√21

The answer is 2 radical 21

Step-by-step explanation:

Answer:

The rate of interest is 9%.

Step-by-step explanation:

Given that the formula for simple interest is I = (P×R×T)/100 where I represents interest, P is principle, R is rate interest and T is number of years. So you have to substitute the values into the formula :

[tex]i = \frac{prt}{100} [/tex]

[tex]let \: i = 360,p = 4000,t = 1[/tex]

[tex]360 = \frac{4000 \times r \times 1}{100} [/tex]

[tex]36000 = 4000r[/tex]

[tex] \frac{36000}{4000} = r[/tex]

[tex]r = 9[/tex]

Given:

Whole numbers are next to each other and they are called consecutive numbers.

To find:

The expression for the other number if the larger of two consecutive numbers is n.

Solution:

According to the given definition, whole numbers are next to each other and they are called consecutive numbers. It means the difference between two consecutive interest is 1.

Larger number - Small number = 1

[tex]n-\text{Smaller number}=1[/tex]

Add smaller number on both sides.

[tex]n=1+\text{Smaller number}[/tex]

Subtract 1 from both sides.

[tex]n-1=\text{Smaller number}[/tex]

Therefore, the expression for the other number is n-1.

Answer:

c = 19 + 0.09P

Step-by-step explanation:

The total cost is the $19 monthly fee plus the amount per hour.

c = 19 + 0.09P

Answer:

d

Step-by-step explanation:

Answer:

D) 56 and 56

Step-by-step explanation:

we can see that in this case, the two given angle are actually alternate angles (see attached for reference)

Which means their values are the same, i.e

-8x+8 = -6x+20    (add 6x to both sides)

-8x + 8 + 6x = 20

-2x + 8 = 20  (subtract 8 from both sides)

-2x = 20 - 8

-2x = 12

x = -6   (substitute this back into either expression )

-8x+8

= -8(-6)+8

= 48+8

= 56 (answer)

We can do a sanity check by substituting x = -6 into the other equation and verify that both angles are indeed the same

-6x+20

= -6(-6)+20

=36+20

= 56 (same as other answer)

Answer:

39 - 80i

Step-by-step explanation:

(8 - 5i)²

= (8 - 5i)(8 - 5i)    (expand using FOIL. See attached for reference)

= (8)(8)  + (8)(-5i) + (-5i)(8) + (-5i)(-5i)

= 64 - 40i - 40i + 25i²  

= 64 - 80i  + 25i² (recall that i² = -1)

= 64 - 80i + 25(-1)

= 64 - 80i - 25

= 39 - 80i

The result is 39 - 80i

Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.

Given expression,

(8 - 5i)²

And the expression is in quadratic form.

We solve the expression using quadratic formula;

(a-b)² = a²-2ab+b²

Now,

(8 - 5i)²

= 64 + 25i² - 80i

= 64 - 25 - 80i

= 39 - 80i

Therefore, the result is 39 - 80i

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Answer:

<KJL is 54.

Step-by-step explanation:

K=72

180-72=108

J and L are congruent, so 108/2 since there is 2 angles, 108/2 =54

KGL is 54.

The measure of ∠KJL = 54°

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given are triangle JKL and triangle LMN.

∠KJL = ∠KLJ

In ΔJKL -

72 + 2∠KJL = 180

2∠KJL = 108

∠KJL = 54°

Therefore, the measure of ∠KJL = 54°.

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Answer:

I voted JOE BIDEN if you didn't your racist that's all

Answer/Step-by-step Explanation:

To determine if segment AB and CD are parallel, perpendicular, or neither, calculate the slope of each.

✍️If the slope of AB and CD are the same value, then they are parallel.✅

✍️If the slope of one is the negative reciprocal of the other, then they are perpendicular.☑️

✍️If their slopes are different, or the slope of one is not the negative reciprocal of the other, then they are neither.❌

1. AB formed by (-2, 13) and (0, 3)

CD formed by (-5, 0) and (10, 3)

Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 13}{0 -(-2)} = \frac{-10}{2} = -5 [/tex]

Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 0}{10 -(-5)} = \frac{3}{15} = \frac{1}{5} [/tex].

☑️-5 is the negative reciprocal of ⅕, therefore segments AB and CD are perpendicular

2. AB formed by (3, 7) and (-6, 1)

CD formed by (-6, -5) and (0, -1)

Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{-6 - 3} = \frac{-6}{-9} = \frac{2}{3} [/tex]

Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 -(-5)}{0 -(-6)} = \frac{4}{6} = \frac{2}{3} [/tex].

✅Segment AB and CD have the same slope value of ⅔. Therefore, they are parallel.

3. AB formed by (-6, 2) and (-2, 4)

CD formed by (-1, 11) and (5, -7)

Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 2}{-2 -(-6)} = \frac{2}{4} = \frac{1}{2} [/tex]

Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-7 - 11}{5 -(-1)} = \frac{-18}{6} = -3 [/tex].

❌The slopes of Segments AB and CD are not the same (½ and -3). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.

4. AB formed by (-3, 8) and (2, 3)

CD formed by (-4, 6) and (-8, 2)

Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 8}{2 -(-3)} = \frac{-5}{5} = -1 [/tex]

Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 6}{-8 -(-4)} = \frac{-4}{-4} = 1 [/tex].

❌The slopes of Segments AB and CD are not the same (1 and -1). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.

5. AB formed by (-8, -1) and (-4, 2)

CD formed by (0, -3) and (12, 6)

Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 -(-1)}{-4 -(-8)} = \frac{3}{4} [/tex]

Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 -(-3)}{12 - 0} = \frac{9}{12} = \frac{3}{4} [/tex].

✅Segment AB and CD have the same slope value of ¾. Therefore, they are parallel.

6. AB formed by (6, 5) and (3, -1)

CD formed by (2, -5) and (-4, 7)

Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - 5}{3 - 6} = \frac{-6}{-3} = 2 [/tex]

Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 -(-5)}{-4 - 2} = \frac{12}{-6} = -2 [/tex].

❌The slopes of Segments AB and CD are not the same (2 and -2). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.

To determine if the given equations are parallel, perpendicular, or neither, ensure both equations are in the slope-intercept form, y = mx + b, where m is the slope.

7. 3x + 2y = 6 and y = -³/2x + 5

Rewrite the first equation in slope-intercept form

3x + 2y = 6

2y = -3x + 6

y = -3x/2 + 6/2

y = -³/2x + 3

The slope of the first equation is -³/2.

The slope of the second equation is -³/2.

✅Both equations have the same slope value of -³/2. Therefore, they are parallel.

8. 3y = 4x + 15 and 9x + 12y = 12

Rewrite both equations in slope-intercept form.

3y = 4x + 15

y = 4x/3 + 15/3

y = ⁴/3x + 5

And

9x + 12y = 12

12y = -9x + 12

y = -9x/12 + 12/12

y = -¾x + 1

The slope of the first equation is ⁴/3.

The slope of the second equation is -¾..

☑️-¾ is the negative reciprocal of ⁴/3. Therefore both AB equations are perpendicular.

9. 8x - 2y = 4 and x + 4y = -12

Rewrite both equations in slope-intercept form.

8x - 2y = 4

-2y = -8x + 4

y = -8x/-2 + 4/-2

y = 4x - 2

And

x + 4y = -12

4y = -x - 12

y = -x/4 - 12/4

y = -¼x - 3

The slope of the first equation is 4.

The slope of the second equation is -¼..

☑️-¼ is the negative reciprocal of 4. Therefore both AB equations are perpendicular.

10. 3x + 2y = 10 and 2x + 3y = -3

Rewrite both equations in slope-intercept form.

3x + 2y = 10

2y = -3x + 10

y = -3x/2 + 10/2

y = -³/2x + 5

And

2x + 3y = -3

3y = -2x - 3

y = -⅔x - 1

The slope of the first equation is -³/2.

The slope of the second equation is -⅔.

❌The slopes of the first equation and second equation are not the same (-³/2 and -⅔). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.

11. -4y = -2x + 8 and 3x - 6y = 6

Rewrite both equations in slope-intercept form.

-4y = -2x + 8

y = -2x/-4 + 8/-4

y = ½x - 2

And

3x - 6y = 6

-6y = -3x + 6

y = -3x/-6 + 6/-6

y = ½x - 1

The slope of the first equation is ½.

The slope of the second equation is ½.

✅Both equations have the same slope value of ½. Therefore, they are parallel.

12. y = 8 and x = -1

The first equation is a horizontal line. The slope of am horizontal line is always zero.

The second equation is a vertical line. The slope of a vertical line is undefined.

❌Therefore, they are neither parallel nor perpendicular.

Answer: a (reflection over y-axis, followed by a translation of 2 units left)

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.08

Answer:

[tex] y = -\frac{1}{2}x + 3 [/tex]

Step-by-step explanation:

To create an equation in slope-intercept form, y = mx + b, for the path, we need to find slope (m) of the path, and also determine the y-intercept (b) of the path.

First, find the slope of the main street:

Using two points on the main street, (2, 3) and (3, 5),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{5 - 3}{3 - 2} = \frac{2}{1} = 2 [/tex]

Since the path would be perpendicular to the main street, therefore, the slope of the path would be the negative reciprocal of 2.

Thus, the slope of the path, m = -½.

The y-intercept of the path is the point at which the line of the path cuts across the y-axis.

The path intercepts the y-axis at y = 3. Therefore, the y-intercept (b) = 3.

Substitute m = -½, and b = 3 into [tex] y = mx + b [/tex].

✅The equation that represents the path would be:

[tex] y = -\frac{1}{2}x + 3 [/tex]

Answer:

its y=1/2x+4 lol the other guy was 1 off

Step-by-step explanation:

Answer:

The two correct expressions are:

Step-by-step explanation:

Let 'a' and 'b' be the two numbers.

When we say the product of 'a' and 'b', it

Let 'c' and 'd' be the two numbers.

When we say the product of 'c' and 'd', it

And when we say the sum of the product of 'a' and 'b' and the product of 'c' and 'd', it algebraically means:

(a × b) + (c × d)

or

(c × d) + (a × b)

as

(a × b) + (c × d) = (c × d) + (a × b)

So when we say "the sum of the product of 3 and 8 and the product of 12 and 2".

It algebraically means:

(12 × 2) + (3 × 8)

or

(3 × 8) + (12 × 2)

as

(12 × 2) + (3 × 8) = 24 + 24      ∵ 12 × 2 = 24, 3 × 8 = 24

                           = 48

(3 × 8) + (12 × 2) = 24 + 24      ∵  3 × 8 = 24, 12 × 2 = 24,

                          = 48

Therefore, the two correct expressions are:

Answer:

19 - 5 = 14

Step-by-step explanation:

this answer is correct

Answer:

Step-by-step explanation:

30°-60°-90°       k-k√3-2k

y =9√3

x=18

Answer: The value of x is 18 and the value of y is 9√3.

Step-by-step explanation:

1. 30°-60°-90°

2. k-k√3-2k

Answer:

29.3785310734 is the exact answer but you can estimate

Step-by-step explanation:

Let’s say the initial depth was 100%.

A 77% decrease would mean that 77% of the 100% was added to the hole so then it final result would be 177% of the initial hole which is also 52 as given. 177% is the same as 1.77 so we would divide 52 by 1.77 to get that x = 29.3785310734. Still confusing? Just look here:

The ratio of the number of blue lights to total lights is 3:5

The total number of lights is 190

To solve the problem we need to have the ratios out first.

we have a ratio of blue to white lights as

3 : 2

The ratio of the number of blue lights to white lights would be

114 : x

Such that we would have

3:2 = 114:x

This would give us

[tex]\frac{3}{2 } =\frac{114}{x}[/tex]

We would have to solve for the  value of x

To do this we are to cross multiply

3*x = 114*2

3x = 228

x = 228 / 3

= 76

ratio = 3 + 2 = 5

3 : 5

The proportion that can be used to solve for t is given as 114 : 3 = 38

38 x 5 = 190

or 114 + 76 = 190

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