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cestrela7 [59]
2 years ago
7

Steve is turning half of his backyard into a chicken pen. His backyard is a 24 meter by 45 meter rectangle. He wants to put a ch

icken wire fence that stretches diagonal from one corner to the opposite corner. How many meters of fencing will Steve need?
Mathematics
1 answer:
anygoal [31]2 years ago
4 0

Answer:

51m

Step-by-step explanation:

For this equation, you want to use pythagoras' theorem (or pythagorean theorem) to work out the hypotenuse (diagonal line)

The formula for this is a²+b²=c², where c is the hypotenuse.

We can sub in the 2 sides for a and b, turning the equation into 24²+45²=c².

Working out the squares gives 576+2025=c², which can be solved to c²=2601.

To get c, we must square root both sides, which results in c=51m.

**This question involves pythagoras' theorem, which you may wish to revise. I'm always happy to help!

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700+a=3944-b=c-80=3000​
velikii [3]

Answer:

A = 3244

B = 864

C = 3080

Step-by-step explanation:

 700 + a = 3944

 -700          -700

a = 3244

 3944 - b = c - 80 = 3000

c - 80 = 3000

  +80       +80

c = 3080

3944 - b = c ---> 3944 - b = 3080

                          -3944        -3944

                               -b = -864 --->  \frac{-b}{-1} = \frac{-864}{-1}

7 0
3 years ago
In a study of the effect of college student employment on academic performance, the following summary statistics for GPA were re
11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μemployed(μ1) be the sample mean of students who are employed and μnot employed(μ2) be the sample mean of students who are not employed

The random variable is μ1 - μ2 = difference in the mean of the employed and unemployed students.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 3.22

μ2 = 3.33

s1 = 0.475

s2 = 0.524

n1 = 172

n2 = 116

t = (3.22 - 3.33)/√(0.475²/172 + 0.524²/116)

t = - 1.81

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [0.475²/172 + 0.524²/116]²/[(1/172 - 1)(0.475²/172)² + (1/116 - 1)(0.524²/116)²] = 0.00001353363/0.00000005878

df = 230

We would determine the probability value from the t test calculator. It becomes

p value = 0.036

Since alpha, 0.05 > than the p value, 0.036, then we would reject the null hypothesis.

Therefore, at a 5% significant level, this information support the hypothesis that for students at this university, those who are not employed have a higher mean GPA than those who are employed

3 0
3 years ago
Sally earned $8.00 per hour working at sky Burger
olga2289 [7]
Yes she did my dude she really did
4 0
3 years ago
Old Faithful in Yellowstone National Park has a predictable eruption time. The park
prisoha [69]

Answer:How often does Old Faithful blow?

The world's most famous geyser, Old Faithful in Yellowstone, currently erupts around 20 times a day. These eruptions are predicted with a 90 percent confidence rate, within a 10 minute variation, based on the duration and height of the previous eruption.

Step-by-step explanation:

How often does Old Faithful blow?

The world's most famous geyser, Old Faithful in Yellowstone, currently erupts around 20 times a day. These eruptions are predicted with a 90 percent confidence rate, within a 10 minute variation, based on the duration and height of the previous eruption.

5 0
2 years ago
A collection of 19 coins consisting of nickels and dimes is worth $1.35. How many dimes are there
pshichka [43]

Answer:

There are 8 dimes there.

Step-by-step explanation:

This question is solved used a system of equations.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

19 coins

This means that x + y = 19.

A nickel is worth $0.05. A dime is worth $0.1. The total of these coins is $1.35. So

0.05x + 0.1y = 1.35

How many dimes are there?

We have to find y.

From the first equation: x = 19 - y.

Replacing in the second:

0.05(19 - y) + 0.1y = 1.35

0.95 - 0.05y + 0.1y = 1.35

0.05y = 0.4

y = 0.4/0.05

y = 8

There are 8 dimes there.

3 0
3 years ago
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