Coach Jump is standing on a platform watching the football team practice. If the platform is 12 feet high and the quarterback is standing 23 feet from the base of the platform, find the angle of depression from Coach Jump to the quarterback. Round to the nearest degree.

Answer:

3

Step-by-step explanation:

3

Answer:

move the bottom of the green triangle back to -4

Given:

Consider the expression is

[tex]231^2-131^2[/tex]

To find:

The value of given expression using a suitable identity.

Solution:

We have,

[tex]231^2-131^2[/tex]

Using the identity [tex]a^2-b^2=(a-b)(a+b)[/tex], we get

[tex]231^2-131^2=(231-131)(231+131)[/tex]

[tex]231^2-131^2=(100)(362)[/tex]

[tex]231^2-131^2=36200[/tex]

Therefore, the value of the given expression is [tex]231^2-131^2=36200[/tex].

Answer:

A.

Step-by-step explanation:

If the temperature was -3°F at first, but had decreased 15°F degrees by 5:00pm, it would be -18°F.

-3 - 15 = -18

Correct me if I end up being wrong.

Answer:

Step-by-step explanation:   Turn this into an equation for every 3 dogs there is 1 staff...

Part 2  around 57 staff bec for every 3 dog there is 1 staff so 19* 1 = 19

Answer:

2

Step-by-step explanation:

The first step is to convert the equation to slope-intercept form (y = mx+b).

2y+6 = 4x

2y+6-6 = 4x-6

2y = 4x-6

2y/2 = 4x/2-6/2

y = 2x-3

In slope-intercept form (y = mx+b), m is the slope. 2 is m in the equation, so therefore it is the slope.

Answer:

0.5675 = 56.75% probability that the difference in mean weight of the samples is greater than fifteen pounds.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal variables:

When we subtract two normal variables, the mean of the subtraction distribution is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Scotts American Bulldog males have weights that are normally distributed with a mean of 85 pounds and a standard deviation of 14.6 pounds.

This means that [tex]\mu = 85, \sigma = 14.6[/tex]

Sample of 9 male bulldogs:

By the Central Limit Theorem:

[tex]n = 9, \mu_M = 85, s_M = \frac{14.6}{\sqrt{9}} = 4.8667[/tex]

Female American Bulldog have weights that are normally distributed with a mean of 69 pounds and a standard deviation of 8.8 pounds.

This means that [tex]\mu = 69, \sigma = 8.8[/tex]

Sample of 8 female bulldogs:

By the Central Limit Theorem:

[tex]n = 8, \mu_F = 69, s_F = \frac{8.8}{\sqrt{8}} = 3.1113[/tex]

Subtraction of Male by Female:

[tex]\mu_S = \mu_M - \mu_F = 85 - 69 = 16[/tex]

[tex]s_S = \sqrt{s_M^2+s_F^2} = \sqrt{4.8667^2+3.1113^2} = 5.7762[/tex]

What is the probability that the difference in mean weight of the samples (Male - Female) is greater than fifteen pounds?

This is 1 subtracted by the pvalue of Z when X = 15. So

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

With our distribution(subtraction)

[tex]Z = \frac{X - \mu_S}{s_S}[/tex]

[tex]Z = \frac{15-16}{5.7762}[/tex]

[tex]Z = -0.17[/tex]

[tex]Z = -0.17[/tex] has a pvalue of 0.4325

1 - 0.4325 = 0.5675

0.5675 = 56.75% probability that the difference in mean weight of the samples is greater than fifteen pounds.

Answer:

42

Step-by-step explanation:

w/6 = 7

multiply both sides by 6

w = 42

Answer:

195.6

Step-by-step explanation:

area of base= 1/2 * 8 * 6.9 = 27.6

area of lateral face= 1/2 * 8 * 14 = 56

total surface area = 27.6 + 56 + 56 + 56 = 195.6

Answer:

i love you :)

Step-by-step explanation:

B only

cos B = a/c

Answer:

[tex]Total = \$68.34[/tex]

Step-by-step explanation:

Given

[tex]Price = \$88.99[/tex]

[tex]Discount = 30\%[/tex]

[tex]Sales\ Tax = 9.7\%[/tex]

Required

Determine the payable amount.

First, calculate the amount after discount

[tex]Amount = Price - Price * Discount[/tex]

[tex]Amount = Price (1 - PDiscount)[/tex]

[tex]Amount = \$88.99(1 - 30\%)[/tex]

[tex]Amount = \$88.99(70\%)[/tex]

[tex]Amount = \$62.293[/tex]

The total after sales tax is:

[tex]Total = Amount (1 + Sales\ Tax)[/tex]

[tex]Total = \$62.293 (1 + 9.7\%)[/tex]

[tex]Total = \$62.293 (1 + 0.097)[/tex]

[tex]Total = \$62.293 (1.097)[/tex]

[tex]Total = \$68.335421[/tex]

[tex]Total = \$68.34[/tex]

$68.34 will be paid

Answer:

Third from the top, a=

[tex]3 \frac{1}{3} [/tex]

Answer:

a = 3 1/3

Step-by-step explanation:

We first separate the whole numbers from the fractions

So first we do

5 + 3 = 8

Then we add the fractions together

1/3 + 2/3 = 1

Then, we add the sum of the whole numbers and of the fractions

8 + 1 = 9

Thus, a = 3 1/3

Answer:

7 / 10 < 11 / 12

Step-by-step explanation:

cross multiply

Answer:

You would buy 4 pairs of socks and 4 pairs of gloves.

Step-by-step explanation:

5x4= 20

4x5=20

20+20=40

Answer:

x=23

Step-by-step explanation:

Answer:

5. b  6. c  7. d  8. a

Step-by-step explanation:

Answer:

If they moved 10 yards that would be 30 feet.  

B would be your answer

Step-by-step explanation:

There are 3 feet in 1 yard.  Multiply the length value by 3.

3 x 10 = 30

( credits to codyprice )

Answer:

Step-by-step explanation:

435/5=87

87 candy per min

Answer: I think the answer is 150 but i might be wrong

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

it is a possibility something will occur

Answer:

So the answer is $3.99 / 12 = $0.3325 per can = 33.25 ¢ per can.

Answer:

33.25

Step-by-step explanation:

Step-by-step explanation:

4^3=4×4×4=64 is answer

Answer:

[tex]4^{3}[/tex]

Step-by-step explanation:

Its in exponential form already the exponent is 3.

4 × 4 × 4 (standard form)

And then the actual answer will be 64....4 × 4 × 4 = 16 × 4 = 64

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:

1/2

Step-by-step explanation:

7x4= 28

8x7= 56

simplify: 28/56=1/2

Answer: 7/8  x  4/21

(7x4)/(8x21)=28/168

Let's divide the top and bottom by 7...

(28/7)/(168/7)=4/24

Let's divide the top and bottom by 4...

1/6

Step-by-step explanation:

hope this helps have a great night❤️❤️❤️❤️

Answer:

7 feet

Step-by-step explanation:

Let's find how many feet did the tree gain during 5 1/2 years:

51 - 12.5 = 38.5

Now devide this number by 5 1/2 to find average length tree gained yearly:

38,5 / 5.5 = 7

Answer:

D

Step-by-step explanation:

P=6 and Q=2

-3(6/2)=-9

3(-6/2)=-9

3*6/-2=-9

-6/-3*2=1

Answer:

answer is x=1

Step-by-step explanation:

][[[[[[[[[

Answer:

478.32

Step-by-step explanation:

1) the basic formula is:

[tex]A=A_{base}+A_{sidesurface}.[/tex]

2) the Area of the base consists of 6 triangles, they are the same. In one triangle: its base is 8 cm., the height is 6.93 cm, - then the Area of one triangle is 0.5*8*6.93=27.72 (cm²);

[tex]A_{base}=6*27.72=166.32(cm^2).[/tex]

3) the Area of the side surface consists of 6 triangles, they are the same. In one triangle: its base is 8 cm., the height is 13 cm, - then the Area of one triangle is 0.5*13*8=52 (cm.²);

[tex]A_{sidesurface}=6*52=312(cm.^2).[/tex]

4) finally, the required Area:

[tex]Area=A_{base}+A_{sidesurface}=166.32+312=478.32(cm.^2).[/tex]

Answer:

$568.16

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 13%/100 = 0.13 per year,

then, solving our equation

I = 416 × 0.13 × 2 = 108.16

I = $ 108.16

The simple interest accumulated

on a principal of $ 416.00

at a rate of 13% per year

for 2 years is $ 108.16.