Given Z1 and Z2, find the
distance between them.
Z1 = 2 – 3i and Z2 = 4 + i

Answer:

8.97 %

Step-by-step explanation:

error is 8.5 - 7.8 inches = 0.7 inches

now

x % of 7.8  = 0.7

7.8x/100 = 0.7

x = 70/7.8 %

= 8.97 %

Answer:

Jo's estimate was 109% the actual answer

Step-by-step explanation:

109% of 7.8 is 8.502, round up to 8.5

May I have brainliest please? :)

Unit price = total price / total quantity

Unit price = 63.75 / 5

Unit price = $12.75

Answer:

We can think in the area as:

A rectangle of 100m by 64m

And two half circles (o a whole circle if we combine them) of diameter = 64m

Then we need to calculate the area of these two figures and then sum them.

The area of a rectangle of width W and length L is:

A = A*L

then the area of the rectangle will be:

A1 = 100m*64m = 6400m^2

The area of a circle of diameter d is:

A = pi*(d/2)^2

in this case, d = 64m

pi = 3.14

Then:

A2 =  3.14*(64m/2)^2 = 3215.35m^2

The total area of the field is:

A = A1 + A2 = 6400m^2 + 3215.35m^2 = 9615.36 m^2

Now, we know that the cost per square meter is $5.00

Then the total cost will be:

Cost = A*$5.00/m^2 = 9615.36 m^2*$5.00/m^2 = $35215.36

There are 4 lines between each number so each line would be 1/4

A is at -1 1/2

B is -3/4

C is 3/4

D is 1 3/4

Using the information given, it is found that:

a.

The standard error for the difference is of 0.0176.

The 95% confidence interval is 0.0151 to 0.0841.

b.

Since 0 is not part of the confidence interval, it is not plausible that there is no difference between males and females in the proportion who agree that each person has only one true love.

For males, we have that:

[tex]n = 1213, p_M = \frac{372}{1213} = 0.3067, s_M = \sqrt{\frac{0.3067(0.6933)}{1213}} = 0.01324[/tex]

For females, we have that:

[tex]n = 1412, p_F = \frac{363}{1412} = 0.2571, s_F = \sqrt{\frac{0.2571(0.7429)}{1412}} = 0.01163[/tex]

The distribution of differences has mean and standard error given by:

[tex]p = p_M - p_F = 0.3067 - 0.2571 = 0.0496[/tex]

[tex]s = \sqrt{s_M^2 + s_F^2} = \sqrt{0.01324^2 + 0.01163^2} = 0.0176[/tex]

It is given by:

[tex]p \pm zs[/tex]

z is the critical value, which considering that there is a 95% confidence level, it is of z = 1.96.

Then:

[tex]p - zs = 0.0496 - 1.96(0.0176) = 0.0151[/tex]

[tex]p + zs = 0.0496 + 1.96(0.0176) = 0.0841[/tex]

The 95% confidence interval is 0.0151 to 0.0841.

Item b:

Since 0 is not part of the confidence interval, it is not plausible that there is no difference between males and females in the proportion who agree that each person has only one true love.

More can be learned about confidence intervals at https://brainly.com/question/16162795

Answer: 11.4

Step-by-step explanation:

area of rect. = 24

area of circle (half circle+half circle = full circle) = pi*r^2 = pi*(2*2) = pi*4 = about 12.57

2 = radius since 4 = diameter

24-12.57 = 11.43

round = 11.4

Answer:

11.4

Step-by-step explanation:

Area=area of rectangle-area of circle

=6*4 -pi(2^2)

=11.4

area of circle =pi (r^2)

r-radius of circle

Answer:

the new year was patrick's year and the second time she had the target audience in her career as an 34696468 )/684₩¥€=÷×+)^^*,?^&££)ktuioon

Answer:

Its D

Step-by-step explanation:

Slope intercept form is y=MX +B

if you plug it in, it would be y=1/8x+3 meaning 1/8 is the slope (m) and 3 is the y intercept (b)

Answer:

41096

Step-by-step explanation:

Answer:

10 units

Step-by-step explanation:

600 units= 1 hour

1 hour= 60 minutes

600 units= 60 minutes

1 minute=600/60

1 minutes =10 units

Hope this helped! :)

Answer:

1/8

Step-by-step explanation:

1 divided by 2 = 1/2

1/2 divided by 2 = 1/4

1/4 divided by 2 = 1/8

Answer:

c

Step-by-step explanation:

i took the test.

Answer:

3 quarts

Step-by-step explanation:

Answer:

There are 3 US Quarts in 3.75% of 20 gallons.

Answer: 1540

Explanation: Just multiply or use a calculator. The prime factorization is all the prime factors, meaning you can multiply all of them to get the original number.

Answer/Step-by-step explanation:

7. The graph is a proportional relationship because the line passes through the point of origin, (0, 0). To find the equation the proportional relationship the graph represents, we need to find the unit rate of red paint (y) to white paint (x). The unit rate will represent the constant of proportionality, k. Then substitute the value of k in [tex] y = kx [/tex].

Unit rate or k = y/x

Using the point, (4, 1),

k = [tex] \frac{1}{4} [/tex]

Substitute k = ¼ in [tex] y = kx [/tex]

✅The equation would be:

[tex] y = \frac{1}{4}x [/tex]

8. The graph Franco made is incorrect.

The equation, [tex] y = -x [/tex], shows a negative constant of proportionality of -1. Therefore, the slope of the line descend downwards, from the left to the right. So, the graph Franco made to represent the equation, [tex] y = -x [/tex] is not correct.

9. a. Proportional relationship can be represented as [tex] y = kx [/tex]. To derive an equation that represents the graph, find k, the constant of proportionality between variable y and x.

Using the point, (2, 24), therefore:

k = y/x = 24/2 = 12.

Substitute k = 12 in [tex] y = kx [/tex]

✅The equation would be:

[tex] y = 12x [/tex]

b. We know an equation is represents a proportional relationship, when it is tales the form, [tex] y = kx [/tex]. Where k is the constant of proportionality. Thus, for if you substitute the pair of values given (x, y) into the equation, you would get the same value of k for any pair of value you substitute in the given set of values.

Also, we know a graph represents a proportional relationship when a straight line passes through the point of origin, (0, 0), and has a constant of proportionality or unit rate all through.

Answer:

$5.50 per gallon of paint

Step-by-step explanation:

To check answer: Divide: 16.50 ÷ 3

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Reflection over the x-axis changes the sign of the y-coordinate. Points that were above the axis are reflected to be the same distance below the axis.

Answer:

282.7

Step-by-step explanation:

To find the answer, we use subtraction.

So, 318.0 - 35.3= 282.7

Hope this helps you!!

Answer: A 100,000 hairs

Step-by-step explanation:

Answer:

ŷ = 0.1197X + 9.2741

11.9 seconds

Step-by-step explanation:

Given the data:

Average number of leg press Repetition and average 40 yard dash line

Leg press rep (x) : 12 32 7 26 28 15 1

40 yard dash (y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5

Using the linear regression calculator :

The equation of the line of best fit obtained is :

y = 0.1197X + 9.2741

Where;

x = leg press (predictor variable)

y = 40 yard dash (predicted variable)

Slope = 0.1197

Intercept = 9.2741

How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions?

22 leg press Repetitions = x

From the line of best fit equation :

y = 0.1197(22) + 9.2741

y = 11.9075

y = 11.9 seconds

The lines of best fit is the trend line of the dataset.

(a) The equation of the line of best fit

The table is given as:

(x) : 12 32 7 26 28 15 1

(y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5

To determine the equation of line of best fit, we make use of a regression calculator.

Enter the above dataset in a regression calculator, the equation is:

[tex]\mathbf{y =0.120x + 9.274}[/tex] -- approximated to three decimal places

(b) The number of seconds for 22 leg-press reps

This means that x = 22.

So, we have:

[tex]\mathbf{y =0.120 \times 22 + 9.274}[/tex]

[tex]\mathbf{y =2.64 + 9.274}[/tex]

[tex]\mathbf{y =11.914}[/tex]

Approximate to the nearest tenth

[tex]\mathbf{y =11.9}[/tex]

Hence, the time for 22 leg-press reps is 11.9 seconds

Read more about linear regressions at:

https://brainly.com/question/18405415

Answer:

178

Step-by-step explanation:

Answer:

Step-by-step explanation:

hi im new im not sure what to do but yea

Answer:

Triangle JKL is congruent to triangle

✔ ABC

.

Side LK corresponds to sides

✔ WV and CB

.

Angle JLK corresponds to angles

✔ UWV and ACB

.

Step-by-step explanation:

just did it on edge 2020

Triangle JKL is congruent to triangle ABC.

Side LK corresponds to sides BC.

Angle JLK corresponds to angles BAC.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

As per the given information,

ΔJKL ≅ ΔUVW: This means that triangle JKL is congruent to triangle UVW. Congruent triangles have the same shape and size, so their corresponding angles and sides are equal in measure and length, respectively.

ΔUVW ≅ ΔABC: This means that triangle UVW is congruent to triangle ABC.

Combining these two pieces of information, we can conclude that:

ΔJKL ≅ ΔABC: This is because if two triangles are congruent to the same triangle, then they must be congruent to each other. Therefore, triangle JKL is congruent to triangle ABC.

Side LK corresponds to sides BC: Corresponding sides of congruent triangles are equal in length. In this case, side LK corresponds to side VW (since JKL ≅ UVW), which corresponds to side BC (since UVW ≅ ABC).

Angle JLK corresponds to angles BAC: Corresponding angles of congruent triangles are equal in measure. In this case, angle JLK corresponds to angle UVW (since JKL ≅ UVW), which corresponds to angle BAC (since UVW ≅ ABC).

So, we can say that triangle JKL is congruent to triangle ABC, side LK corresponds to sides BC, and angle JLK corresponds to angles BAC.

To learn more about the congruent;

https://brainly.com/question/12413243

#SPJ7

Answer:

$22.5

Step-by-step explanation:

multiply 900 by .025 to get 22.5.

When you multiply by a percentage to find an ammount, move the decimal place over to the left by 2 places and then multiply by the number (in this case 900). Whatever number you recieve is the answer.

The total commission Tyler's brother was earn is $22.5 and this can be determined by using the unitary method.

Given :

The following steps can be used in order to determine the total commission Tyler's brother was earn:

Step 1 - The unitary method can be used in order to determine the total commission Tyler's brother was earn.

Step 2 - According to the given data, he sold $900 worth of shoes which is 100% value.

Step 3 - If 100% is $900 then the value of 2.5% is:

[tex]=\dfrac{2.5}{100}\times 900[/tex]

Step 4 - Simplify the above expression.

= $22.5

For more information, refer to the link given below:

https://brainly.com/question/11897796

The correlation Coefficient gives the measure of the strength and direction of the relationship between two variables. - 0.833 depicts a strong negative relationship. Hence, one can be confident that the predicted value will be close to the actual Value.

The Correlation Coefficient, R ranges from - 1 to 1, with values closer to - 1 and 1 representing strong negative and positive relationship respectively, which is only achieved of the data is modeled very well.

Therefore, since, - 0.833 is a strong correlation Coefficient, then we can be confident in the predicted value.

Learn more : https://brainly.com/question/19805544

Answer:

6/24

Step-by-step explanation:

Well, this ratio would be written as 6/24. Using your knowledge of equivalent fractions, you can see that 3/12 = 6/24 (multiply the numerator and denominator of 3/12 by 2 and you get 6/24.

Hope this helps you.

Mark as Brainliest Please.!!!

Answer:caca

Step-by-step explanation:

poop

Answer:

no

Step-by-step explanation: