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3 years ago

Evaluate the expression when y=-6. y² +8744

Mathematics

2 answers:

Sergeu [11.5K]3 years ago

8 0

Answer:

8780.

Step-by-step explanation:

-6 times -6 is 36 + 8744

oee [108]3 years ago

6 0

Answer:

8780

Step-by-step explanation:

We simply substitute "-6" in for "y"

$y^2 + 8744\\\\(-6)^2 +8744\\\\36 + 8744\\\\8780$

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A candidate for one of Ohio's two U.S. Senate seats wishes to compare her support among registered voters in the northern half o

Radda [10]

Answer:

$(0.531-0.45) - 1.96 \sqrt{\frac{0.531(1-0.531)}{2000} +\frac{0.45(1-0.45)}{2000}}=0.050$

$(0.531-0.45) + 1.96 \sqrt{\frac{0.531(1-0.531)}{2000} +\frac{0.45(1-0.45)}{2000}}=0.112$

And the best option for this case would be:

A. 0.050 to 0.112.

Step-by-step explanation:

Data given

$p_A$ represent the real population proportion of who support the cnadite for the northern half state

$\hat p_A =\frac{1062}{2000}=0.531$ represent the estimated proportion of who support the candidate for the northern half state

$n_A=2000$ is the sample size required the northern half state

$p_B$ represent the real population proportion of who support the candidate for the southern half state

$\hat p_B =\frac{900}{2000}=0.45$ represent the estimated proportion of people who support the candidate for the southern half state

$n_B=2000$ is the sample size for the northern half state

$z$ represent the critical value

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile in the normal standard distribution and we got.

$z_{\alpha/2}=1.96$

Replacing into the formula we got:

$(0.531-0.45) - 1.96 \sqrt{\frac{0.531(1-0.531)}{2000} +\frac{0.45(1-0.45)}{2000}}=0.050$

$(0.531-0.45) + 1.96 \sqrt{\frac{0.531(1-0.531)}{2000} +\frac{0.45(1-0.45)}{2000}}=0.112$

And the best option for this case would be:

A. 0.050 to 0.112.

8 0

2 years ago

How many millimeters are<br> there in 5 centimeters?

sergejj [24]

Answer:

50 millimeters

Step-by-step explanation:

5=50

3 0

2 years ago

Hello please help me I don't get this at all

Stella [2.4K]

There are 1 rectangle and 2 triangles.
The area of the rectangle is 5 x 7 =35
The are of the triangle is 7 x 2 = 14(1/2) = 7
There are 2 triangles, so 7 x 2 = 14

14 + 35 = 49

49 is your answer

hope this helps

4 0

2 years ago

Read 2 more answers

What is 9/25 as a decimal terminating or repeating decimal

d1i1m1o1n [39]

1/25=0.04

9/25=9*0.04=0.36

8 0

3 years ago

Read 2 more answers

PLEASE HELP ME PRE CAL/TRIG

miss Akunina [59]

Answer:

A) 60 Degrees

B) 550 Feet

C) 2.5 minutes

Step-by-step explanation:

a) So the wheel has completed one revolution in 10 minutes so lets first divide 100 secs with 10 minutes to calculate the the fraction of revolution

1 min = 60 secs

10 min = 600 secs

100/600 = 1/6

One complete revolution is 360 degrees and 1/6 of 360 degrees will be 60 degrees .

360/6 = 60°

b) It takes 10 minutes to complete one revolution so if the person is on it for 7 minutes it would be 7/10 of a revolution . The ferris wheel has a diameter of 250 feet so the radius will be 125 feet because it is the half of the diameter and the circumference will be 250 π . To calculate the distance lets multiple the fraction of the revolution which is 7/10 into the circumference $\frac{7}{10} * (250 pi)$ = 550 Feet.

C)It took 10 minutes to travel 250 π now we will use this relation to calculate 200 feet . lets suppose t is for time .

$\frac{250pi}{10} =\frac{200}{t}$ .

After solving this equation as there is only one unknown which is "<em>t</em> "the answer will be 2.5 minutes.

3 0

3 years ago