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3 years ago

Please Help To Find That Question...

Mathematics

2 answers:

allochka39001 [22]3 years ago

6 0

V = ( $\pi$ r^2) (h/3)

so $( \pi \frac{3}{4} ^{2} )3/3 = 1.77$

kykrilka [37]3 years ago

4 0

The volume of a cone is equal to πr²*⅓h. The radius (r) of the base is ¾, and the height (h) of the cone is 3. So, ¾²π*⅓*3 simplifies to .5625π in³, or about 1.767 in³.

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A number greater than 1000 whose prime factorization contains 1 prime number that does not repeat,1 prime number that repeats 3

olasank [31]

Heheheyyeyyehehhwjjwjwjjwhwhhw

8 0

4 years ago

Are the ratios 16:9 and 2:1 equivalent? yes no

yarga [219]

Answer:

Step-by-step explanation:

To be equivalent it would have to be 16/8 not 16/9

3 0

3 years ago

Elena bought a backpacking tent to take with her on hiking trips.

Masteriza [31]

Answer:

Question 1 = c) Medium: 88 ft²

Question 2 = d) 46.7 ft³

Step-by-step explanation:

Question 1

We would be solving this question by finding the surface area of the tent. The shape of the tent is a square based pyramid.

The surface area of a square based pyramid(tent) =

a² + 2ah

Where in the diagram,

a = base length = 4 ft

h = height of the pyramid (tent ) = 9ft

Surface area = 4² + 2 × 4 × 9

= 16 + 72

= 88ft²

Therefore, the size tarp should she purchase is Medium: 88 ft²

Question 2

For question 2, from the attached diagram, we can see that the diagram is a square based pyramid.

To calculate the amount of water that would fill the square based pyramid, we would have to find the Volume of the tent(square based pyramid).

The formula for the Volume of the tent(square based pyramid) = 1/3(a²h)

Where a = base edge

h = height of the pyramid.

From the diagram,

a = base edge => 4ft.

From the question,

h = height of the tent is given as how tall the tent is = 8.75ft.

Therefore, 1/3(a²h)

1/3 × (4ft)²× 8.75ft

= 46.67ft³

Approximately = 46.7ft³

Therefore, the amount of water it would it take to fill the tent, if the tent is 8.75 ft tall is 46.7ft³

3 0

3 years ago

An angle measures 64 degrees more than the measure of its complementary angle. What is the measure of each angle?

fiasKO [112]

Answer:

13 and 77 degrees

Step-by-step explanation:

Complementary = 90 degrees

Set an angle to x

x+(x+64)=90

2x+64=90

2x=26

x=13

angle measures: 13, 77 degrees

7 0

3 years ago

The average American man consumes 9.8 grams of sodium each day. Suppose that the sodium consumption of American men is normally

Alex Ar [27]

Answer:

(a) The distribution of X is N (9.8, 0.8²).

(b) The probability that an American consumes between 8.8 and 9.9 grams of sodium per day is 0.4461.

Step-by-step explanation:

The random variable X is defined as the amount of sodium consumed.

The random variable X has an average value of, μ = 9.8 grams.

The standard deviation of X is, σ = 0.8 grams.

(a)

It is provided that the sodium consumption of American men is normally distributed.

The random variable X follows a normal distribution with parameters μ = 9.8 grams and σ = 0.8 grams.

Thus, the distribution of X is N (9.8, 0.8²).

(b)

If X ~ N (µ, σ²), then $Z=\frac{X-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z ~ N (0, 1).

To compute the probability of Normal distribution it is better to first convert the raw score (X) to z-scores.

Compute the probability that an American consumes between 8.8 and 9.9 grams of sodium per day as follows:

$P(8.8$

$=P(-1.25$

Thus, the probability that an American consumes between 8.8 and 9.9 grams of sodium per day is 0.4461.

(c)

The probability representing the middle 30% of American men consuming sodium between two weights is:

$P(x_{1}$

Compute the value of z as follows:

$P(-z$

The value of z for P (Z < z) = 0.65 is 0.39.

Compute the value of x₁ and x₂ as follows:

$-z=\frac{x_{1}-\mu}{\sigma}\\-0.39=\frac{x_{1}-9.8}{0.8}\\x_{1}=9.8-(0.39\times 0.8)\\x_{1}=9.488\\x_{1}\approx9.5$ $z=\frac{x_{2}-\mu}{\sigma}\\0.39=\frac{x_{1}-9.8}{0.8}\\x_{1}=9.8+(0.39\times 0.8)\\x_{1}=10.112\\x_{1}\approx10.1$

Thus, the middle 30% of American men consume between 9.5 grams to 10.1 grams of sodium.

4 0

3 years ago