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3 years ago

A cylinder has a volume of 175 pie cubic units and a height of seven units what's the diameter

1 answer:

3 0

Πr²h=175
πr²*7=175
Divide both sides by 7
πr²=25
Divide both sides by π (3.14)
r²=7.96
Square root of 7.96=2.82
r=2.82
Diameter is 2r. 2.82*2
2.82*2=5.64

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The permiter of a square must be less than 160 feet. What is the maximum length of a side in feet?

ale4655 [162]

Answer:

39 ft

Step-by-step explanation:

40 feet would have been if the perimeter was 160ft. so since it has to be less than 160 the maximum (whole number) length of a side would be 39.

3 0

3 years ago

Read 2 more answers

In one year Megan spent 359.94 on her gym membership at the same monthly rate of 59.99. Write an equation to represent this situ

Thepotemich [5.8K]

Answer:

359.94 = 59.99 * X

Step-by-step explanation:

The situation is determined by the following equation:

T = M * X

Being M the monthly value, that is to say 59.99

T the total value, that is 359.94

And X would be the number of months, and at the same time the variable.

In this case it would be like this:

359.94 = 59.99 * X

If we solve for X, we are left with:

X = 359.94 / 59.99

X = 6

That is to say that Megan went to the gym for 6 months of the year

7 0

3 years ago

ANSWER ASAP IM BEING TIMED

Vsevolod [243]

Answer:

Standard form means that you write the terms by descending degree.

x^4y^2 + 4x^3y + 10x^2

The degree of the first term x^4y^2 is 4+2=6

The degree of the second term 4x^3y is 3+1=4

The degree of the third term 10x^2 is 2

The terms are written by descending degree. Therefore, polynomial x^4y^2 + 4x^3y + 10x^2 is written in standard form.

Step-by-step explanation: I hope this helps <3

5 0

3 years ago

Could you please explain it?

Troyanec [42]

Hello,
there are some words that I could not read. But:
I support evements are independants.
p(s)=0.2
p(l)=1-0.2=0.8 l=lose

1)0.8*0.2=0.16

2) 0.8²*0.2=0.128

3) 0.8^3*0.2=0.1024

4) 0.2*0.8^(n-1)

6 0

3 years ago

You are studying the relationship between the history of early childhood trauma (categorized as trauma/no trauma) and weight in

jeka57 [31]

Answer:

You can decide to reject the Null Hypothesis at p < 0.05.

Step-by-step explanation:

In this case, the relationship between the history of early childhood trauma and weight in adulthood are being studied.

The categories of childhood trauma are:

Trauma and No trauma.

So, number of rows is, r = 2.

The categories of weight in adulthood are:

Low to normal, Overweight, and Obese

So, number of columns is, c = 3.

The distribution of the statistic $\chi^{2}$ is chi-square with (r - 1)(c - 1) degrees of freedom, where r represents the number of rows in the two-way table and c represents the number of columns.

Compute the degrees of freedom as follows:

$df = (r-1)(c-1)=(2-1) \times (3-1) = 2$

It is provided that the calculated value of Chi-square test statistic is 18.26.

Compute the p-value of the test as follows:

$p-value=P(\chi^{2}_{2}\geq 18.26)\\=0.000108\\\approx0.00011$

Decision rule:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

The significance level is, α = 0.05.

p-value = 0.00011 < α = 0.05.

The null hypothesis will be rejected at 5% level of significance.

Thus, the complete statement is:

"You can decide to reject the Null Hypothesis at p < 0.05."

4 0

3 years ago