Line a is parallel to line b. If the
measure of Z7 is 114°, what is the
measure of Z1?

Answer:

SSS

Step-by-step explanation:

You can tell by the 2 dashes side and the one dash if that makes sense

Answer: SAS

Step-by-step explanation:

Answer:

5250.53 social security, 1227.95 Medicare

Step-by-step explanation:

84686x.062=5250.53 in social security

84686x.0145=1227.95 in Medicare

Answer:

wow!

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think its 1203

Answer:nice do it

Step-by-step explanation:

what is it about

show the problem

Step-by-step explanation:

Answer:

[tex]E(x) = 4.500[/tex] --- Expected value

[tex]SD(x) = 2.872[/tex] --- Standard deviation

Step-by-step explanation:

Given

[tex]\begin{array}{ccccccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} & {7} & {8} & {9} \ \\ P(X=x) & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}}& {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} & {\frac{1}{10}} \ \end{array}[/tex]

Solving (a): Expected value

This is calculated using:

[tex]E(x) = \sum\limits^{9}_{i=0} x_i * P(X = x_i)[/tex]

Since they all have the same probability, the formula becomes:

[tex]E(x) = \frac{1}{10}\sum\limits^{9}_{i=0} x_i[/tex]

[tex]E(x) = \frac{1}{10}(0+1+2+3+4+5+6+7+8+9)[/tex]

[tex]E(x) = \frac{1}{10}*45[/tex]

[tex]E(x) = \frac{45}{10}[/tex]

[tex]E(x) = 4.500[/tex]

Solving (b): Standard Deviation

First, we calculate the variance using

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

In (a), we have:

[tex]E(x) = 4.500[/tex]

[tex]E(x^2)[/tex] is calculated as:

[tex]E(x^2) = \sum\limits^{9}_{i=0} x_i^2 * P(X = x_i)[/tex]

Since they all have the same probability, the formula becomes:

[tex]E(x^2) = \frac{1}{10}\sum\limits^{9}_{i=0} x_i^2[/tex]

So, we have:

[tex]E(x^2) = \frac{1}{10}(0^2+1^2+2^2+3^2+4^2+5^2+6^2+7^2+8^2+9^2)[/tex]

Using a calculator

[tex]E(x^2) = \frac{1}{10}(285)[/tex]

[tex]E(x^2) = 28.5[/tex]

So:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]Var(x) = 28.5 - 4.5^2[/tex]

[tex]Var(x) = 28.5 - 20.25[/tex]

[tex]Var(x) = 8.25[/tex]

The standard deviation is then calculated as:

[tex]SD(x) = \sqrt{Var(x)}[/tex]

[tex]SD(x) = \sqrt{8.25}[/tex]

[tex]SD(x) = 2.872[/tex] ---- approximated

Answer:

Step-by-step explanation:

look up z-table

3 std div. = 0.00135

Step-by-step explanation:

the measure of arc RPQ is

360°-42° = 318°

Answer: 39

Step-by-step explanation:

30 32 32 36 42 42 44 45

Answer:

I'd recommended saying B, but they are asking YOU! Not us, so please answer this truthfully.

Answer:

3

Step-by-step explanation:

Answer:

63°

Step-by-step explanation:

༻﹡﹡﹡﹡﹡﹡﹡༺

hope it helps...

have a great day!!

Answer:

C. The cone is ⅓ the volume of the cylinder

Step-by-step explanation:

Volume of a cylinder = πr²h

Volume of a cone = ⅓πr²h

Assuming they both have the same height (h) and radius (r), from the formula given above, we see that the cone is ⅓ of the volume of the cylinder (πr²h)

Let's demonstrate this with figures:

Hypothetically, let,

h = 3 cm

r = 3 cm

Let's plug these values into each formula for a cone and a cylinder:

Cylinder = π*3³*3 = 27π cm³

Cone = ⅓(π*3²*3) = ⅓(27π) = 9π cm³

As you can see, the volume of the cylinder (27π) is 3 times the volume of the cone (9π)

Therefore:

The cone is ⅓ the volume of the cylinder

Answer:

Andy is incorrect because the shape must be a regular figure.

Step-by-step explanation:

 Andy is incorrect because the shape must be regular.

The line of symmetry can be defined as the axis or imaginary line that passes through the center of shape or object and divides it into identical halves.

According to the given question

Andy said that "shape with more than three sides or angles has the same number of lines of symmetry".

Hence, Andy is incorrect because the shape must be regular to find the line of symmetry.

Learn more about lines of symmetry here:

https://brainly.com/question/8902160

#SPJ2

Answer:

(a) [tex]f(n)= 900n -100[/tex]

(b) [tex]f(1) = 800[/tex]; [tex]f(n) = f(n-1) +900[/tex]   for [tex]n \ge 2[/tex]

Step-by-step explanation:

Given

[tex]f(1) = 800[/tex] --- first month

[tex]d = 900[/tex] --- difference in distance covered each month

Required

Find f(n)

To do this, we have:

[tex]a_n = a_1 +d(n -1)[/tex]

Where

[tex]a_1 = f(1) = 800[/tex]

This gives:

[tex]a_n = 800 +900(n -1)[/tex]

[tex]a_n = 800 + 900n - 900[/tex]

Collect like terms

[tex]a_n= 900n +800-900[/tex]

[tex]a_n= 900n -100[/tex]

So, we have:

[tex]f(n)= 900n -100[/tex]

As a recursion, we have:

[tex]f(1) = 800[/tex]

For every other month i.e. [tex]n \ge 2[/tex]

We have:

 [tex]f(n) = f(n-1) +900[/tex]  for [tex]n \ge 2[/tex]

Which means 900 miles plus distance covered in previous month

Answer:

im pretty sure A.

Step-by-step explanation:

Ugh I hate problems like these

sorry if its not correct

Answer:

D

Step-by-step explanation:

-12 because 12-12=0 so if you want to get the numbers to equal to 0, you need to add -12

Answer:

[tex](3x + 12) + (2x - 38) + (x + 10) = 180 \degree \\ 6x - 16 = 180 \\ 6x = 196 \\ x = 32.6 \\(3x + 12) : = > 110 \degree \\ (2x - 38) : = > 27.3 \degree \\ (x + 10) : = > 42.6 \degree[/tex]

Answer:

D

B

Step-by-step explanation:

Answer:

y = 5.66388 feet, (round that to whatever you need to round to)

Step-by-step explanation:

cos (51) = y/9

cos(51)*9=

y = 5.66388 feet

Answer:

C

Step-by-step explanation:

This is the shows the constant value on the X-axis

[tex]sin = \frac{ \sqrt{17} }{7} [/tex]

Answer:

hinh nh ul a caanbang

Step-by-step explanation:

Calorie consumption increases, and weight tends to increase slightly, but the relationship is not very strong.

To compare the daily calorie consumption of teachers to their weight, we can create a scatter plot of the given data, where the calorie consumption is plotted on the x-axis, and the weight is plotted on the y-axis.

Each point on the scatter plot represents a teacher, and the position of the point shows the teacher's calorie consumption and weight.

From the scatter plot, we can see that there is no clear pattern or trend between the calorie consumption and weight of the teachers. However, we can calculate the correlation coefficient between the two variables to quantify the strength and direction of the relationship.

Using a calculator or a spreadsheet program, we can find that the correlation coefficient between calorie consumption and weight is approximately 0.07, which indicates a weak positive correlation.

This means that as calorie consumption increases, weight tends to increase slightly, but the relationship is not very strong.

To know more about scatter plots follow

https://brainly.com/question/29064712

#SPJ2

the answer is x=1/2+3y/4

Answer:

x:(1/2,0)

y:(0,-2/3)

this is the points in the graphic

Step-by-step explanation:

Recognize youre finding the ratio between litres of gas per litres of oil

per always means a ratio

3.75L gas / 1.5L oil

simplify to get 2.5L gas / 1L oil

Answer:

Ronald ran at a speed of 14.26 km / h, while Khalil did so at a speed of 9.35 km / h.

Step-by-step explanation:

Given that Ronald and Khalil had a 400 meter race, and Ronald's time was 1 minute and 51 seconds, and Khalil's time was 2 minutes and 34 seconds, to determine how much faster was Ronald time the Khalil’s, the following calculation must be performed:

400 x 2.5 = 1000

60 x 60 = 3600

1.51 = 101 x 2.5 = 252.5

2.34 = 154 x 2.5 = 385

252.5 = 1000

3600 = X

3600 x 1000 / 252.5 = X

14,257.43 = X

385 = 1000

3600 = X

3600 x 1000/385 = X

9,350.65 = X

14,257.43 / 1000 = 14.26

9,350.65 / 1000 = 9.35

Thus, Ronald ran at a speed of 14.26 km / h, while Khalil did so at a speed of 9.35 km / h.

Answer:

5 5/6

Step-by-step explanation:

Multiply 2 1/3 by 2 1/2.  The easiest way (?!) is to change both mixed numbers to improper fractions (I dislike that name! It just means a numerator bigger than the denominator).

2 1/3 Multiply the denominator 3 by the whole number 2, add the numerator 1 to get 6+1 = 7.  Place that over the denominator, 3.  So 2 1/3 = 7/3.

2 1/2 Multiply the denominator 2 by the whole number 2, add the numerator 1 to get 4+1=5.  Place that over the denominator, 2.  So 2 1/2 = 5/2.

Multiply 7/3 by 5/2.

[tex]\frac{5}{2} \cdot \frac{7}{3}=\frac{35}{6}[/tex]

Finally, convert the improper fractioin 35/6 to a mixed number by dividing 35 by 6 (6 goes into 35 5 whole times with 5 "left over").  The whole number part is 5 and the left over fraction part is 5/6.

5 5/6