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3 years ago

PLEASE HELP IMMEDIATELY

1 answer:

3 0

The answer is g = 6w.

since the number of grey pigeons is 6 times the white pigeons, it means the white pigeons are being multiplied to find the number of grey pigeons

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A group of employees is stranded on top of a 120 feet building because a fire occurred. Your goal is to throw a rope from a 60 f

Paul [167]

Step-by-step explanation:

-16t² + 64t + 60 = 120

this is a quadratic equation, and its points of f(t) = 0 can be calculated. there are usual 2 such solutions for a quadratic equation.

so, we need to bring it to a form that ends in "= 0".

-16t² + 64t - 60 = 0

that is also the same as

-4t² + 16t - 15 = 0

the formula for the solutions of such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

a = -4

b = 16

c = -15

so,

t = (-16 ± sqrt(256 - 4×-4×-15))/(2×-4) =

= (-16 ± sqrt(256 - 240))/-8 =

= (-16 ± sqrt(16))/-8 = (-16 ± 4)/-8

t1 = (-16 + 4)/-8 = -12/-8 = 3/2

t2 = (-16 - 4)/-8 = -20/-8 = 5/2

so, it depends on what the unit of time t is. let's assume seconds.

therefore, the rope will reach the top of the building while going up after 3/2 = 1 1/2 = 1.5 seconds.

and then, as the shot rope makes a curve and comes back down again (that is why we have 2 solutions : the rope will reach the height of 120ft during its flight path twice : once while still going up, and once when coming back down again) it will be at the height of the top of the building after 5/2 = 2 1/2 = 2.5 seconds.

so, it depends if the people there can grab it at the first chance, and if the path of the rope would allow them to grab it also again on its way back down. this we don't know.

I therefore guess, that your teacher is aiming for the first solution.

4 0

3 years ago

Please help I'm having a small brain moment

ahrayia [7]

Answer:

Option 4: r ≥ 6

Step-by-step explanation:

5(6+3r) + 7 ≥ 127

30 + 15r + 7 ≥ 127

37 + 15r ≥ 127

15r ≥ 90

r ≥ 6

5 0

3 years ago

To get a B in math, Alexandria Pappas must average 80 on five tests. Scores on the first four tests were 82,74,82,and 74.Wha

motikmotik

Answer:

88 score.

Step-by-step explanation:

Given:

To get a B in math, Alexandria Pappas must average 80 on five tests.

Scores on the first four tests were 82, 74, 82, and 74.

Question asked:

What is the lowest score that she can get on the last test and still get a B?

Solution:

Let lowest score she can get on the last test = $x$

As we know:

$Average=\frac{Sum\ of \ observations}{Number\ of\ observations}\\ \\ 80=\frac{82+74+82+74+x}{5} \\ \\$

By cross multiplication:-

$80\times5=312+x \\ \\400=312+x\\Subtracting\ both\ sides\ by\ 312\\400-312=312-312+x\\88=x$

Thus, she can get 88 score on the last test to get a B in math.

5 0

3 years ago

A United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year. A FLOC (Farm

disa [49]

Answer:

We conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

Step-by-step explanation:

We are given that a United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year.

A FLOC evaluation of 25 Mexican family units reveals a mean to be $30,000 with a sample standard deviation of $10,000.

Let $\mu$ = true mean family income for Mexican migrants.

So, Null Hypothesis, $H_0$ : $\mu$ = $27,000 {means that the mean family income for Mexican migrants to the United States is $27,000 per year}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ $27,000 {means that the mean family income for Mexican migrants to the United States is different from $27,000 per year}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean family income = $30,000

s = sample standard deviation = $10,000

n = sample of Mexican family = 25

So, the test statistics = $\frac{30,000-27,000}{\frac{10,000}{\sqrt{25} } }$ ~ $t_2_4$

= 1.50

The value of t test statistics is 1.50.

Since, in the question we are not given the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical values of -2.064 and 2.064 at 24 degree of freedom for two-tailed test.

Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

4 0

3 years ago

Twenty different books are to be put on five book shelves, each of which holds at least twenty books.

lapo4ka [179]

Hello There!

The total number of different arrangements is 10,628.

Hope This Helps You!
Good Luck :)

- Hannah ❤

8 0

3 years ago