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3 years ago

What is the equation of the graph

Mathematics

1 answer:

balandron [24]3 years ago

4 0

Answer:

y=6^x-2

Step-by-step explanation:

Start with the parent function, a^x. The graph looks like it has been translated b units down, so our function is a^x+b. Now at x=0, y=-2. So b=-2. Next at x=1, y=3. 3=a^(1)-2, a=6. y=6^x-2 is the equation

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One measure of an athlete’s ability is the height of his or her vertical leap. Many professional basketball players are known fo

almond37 [142]

Answer:

(1) P( $\bar X$ < 26 inches) = 0.0436

(2) P(27.5 inches < $\bar X$ < 28.5 inches) = 0.2812

Step-by-step explanation:

We are given that the mean vertical leap of all NBA players is 28 inches. Suppose the standard deviation is 7 inches and 36 NBA players are selected at random.

Firstly, Let $\bar X$ = mean vertical leap for the 36 players

Assuming the data follows normal distribution; so the z score probability distribution for sample mean is given by;

Z = $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean vertical leap = 28 inches

$\sigma$ = standard deviation = 7 inches

n = sample of NBA player = 36

(1) Probability that the mean vertical leap for the 36 players will be less than 26 inches is given by = P( $\bar X$ < 26 inches)

P( $\bar X$ < 26) = P( $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{26-28}{\frac{7}{\sqrt{36} } }$ ) = P(Z < -1.71) = 1 - P(Z $\leq$ 1.71)

= 1 - 0.95637 = 0.0436

(2) Now, here sample of NBA players is 26 so n = 26.

Probability that the mean vertical leap for the 26 players will be between 27.5 and 28.5 inches is given by = P(27.5 inches < $\bar X$ < 28.5 inches) = P( $\bar X$ < 28.5 inches) - P( $\bar X$ $\leq$ 27.5 inches)

P( $\bar X$ < 28.5) = P( $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{28.5-28}{\frac{7}{\sqrt{26} } }$ ) = P(Z < 0.36) = 0.64058 {using z table}

P( $\bar X$ $\leq$ 27.5) = P( $\frac{\bar X - \mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{27.5-28}{\frac{7}{\sqrt{26} } }$ ) = P(Z $\leq$ -0.36) = 1 - P(Z < 0.36)

= 1 - 0.64058 = 0.35942

Therefore, P(27.5 inches < $\bar X$ < 28.5 inches) = 0.64058 - 0.35942 = 0.2812

6 0

3 years ago

If x^2 = 10, what is the value of x?

maw [93]

X^2=10
x=3.16 (3sig.figs)

Hope this helps :)

4 0

3 years ago

Read 2 more answers

A rectangular prism has a volume of 240 cubic feet. If the length is 4 feet and the width is 4 feet, what is the height of

frosja888 [35]

Answer:

Let's use the formula for the volume of a rectangular prism;

V = l · w · h

Where 'l' represents the length, 'w' stands for the width, and 'h' displays as the height. (V evidently stands for the volume)

What we know:

Volume = 240 ft
Length = 4 ft

Width = 4 ft

What we need to find out:

Height

Let's plug in what we know into the formula:

V = l · w · h

240 = 4 · 4 · h

Now let's solve for h:-

240 = 16 · h

240 = 16h

Get rid of h's co-efficient by dividing 16 from both sides because the inverse operation of multiplication(since 16 is being multiplied by h) is division.

÷16 ÷16

Finally, you would end up with a result of:

15 = h

Hence, the height of this prism is 15 feet.

5 0

1 year ago

Read 2 more answers

The library surveyed 200 people about their favorite type of movie. if 40% chose action, how many people chose action.

ivann1987 [24]

80 people chose action

6 0

2 years ago