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14 days ago

Hugo, a pitcher, estimates that his pitch speed is more than 48 miles per hour, on average. Several of his teammates would like

his estimate to be tested, so he decides to do a hypothesis test, at a 5% significance level, to persuade them. He throws 15 pitches, collects the proper data, and works through the testing procedure: H0: μ=48; Ha: μ>48 x¯=54 σ=5 α=0.05 (significance level) The test statistic is

Mathematics

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The sharks are fed three times a day. During the morning feeding , 2/15 tons of fish is fed. During the afternoon feeding, the w

zzz [12365]

Answer:

1/6 ton of fish is provided during the night feeding.

Step-by-step explanation:

The fish consumed in the morning is $\dfrac{2}{15}$ tons, and the amount of fish served in the afternoon is $\dfrac{1}{15}$ greater than in the morning. This means

$\dfrac{2}{15} +\dfrac{1}{15}$

Let’s represent the quantity of fish given at night as $x$ , and if the total fish fed throughout the day equals $\dfrac{1}{2}$ , we have

$\dfrac{2}{15}+(\dfrac{2}{15} +\dfrac{1}{15})+x=\dfrac{1}{2}$

By summing the numerators on the left side, we derive:

$\dfrac{5}{15} +x=\dfrac{1}{2}$

and subtracting $\dfrac{5}{15}$ from both sides allows us to isolate $x:$

$x=\dfrac{1}{2} -\dfrac{5}{15}$

Since $\dfrac{5}{15} =\dfrac{1}{3}$ , we derive

$x=\dfrac{1}{2}-\dfrac{1}{3}$

The common denominator for the fractions is 6; hence, we write the equation in the form

$x=\dfrac{3}{6}-\dfrac{2}{6}$

and simplifying the numerators results in:

$\boxed{x=\dfrac{1}{6} }$

which indicates the amount of tons fed during the night feeding.

7 0

2 months ago

PLEASE HELP ASAP!! 180x=2(30÷3)+17-5•11+2÷1 = ?

Inessa [12570]

Answer:

x = -4/45

Step-by-step breakdown:

180x=2(30÷3)+17-5•11+2÷1

We first need to simplify the right side. The initial step involves the parentheses

180x=2(10)+17-5•11+2÷1

Next, we multiply and divide, proceeding from left to right after the equals sign.

180x=20+17-5•11+2÷1

180x=20+17-55+2÷1

180x=20+17-55+2

Next, we add and subtract, moving from left to right in relation to the equals sign.

180x=37-55+2

180x =-18+2

180x = -16

Then divide each side by 180

180x/180 = -16/180

x = -4/45

4 0

1 month ago

Read 2 more answers

The area of a round table in Kim’s living room is 201 square inches. What is the circumference of the round table, to the neares

zzz [12365]

Response:

C. 50.24 inches

Detailed explanation:

The area of a circle can be expressed with $\pi r^{2}$ . To determine the circumference, knowing the radius is essential; thereafter, we can substitute that value into the circumference formula $2\pi r$ . Hence, to ascertain the radius, we observe that:

$\pi r^{2} = 201$

$r = \sqrt{\frac{201}{\pi } }$

As a result, the circumference is:

$2\pi (\sqrt{\frac{201}{\pi } })$ , which approximates the choice C) 50.24 inches.

Hope this was beneficial!:)

4 0

1 month ago