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2 years ago

13

Player a throws the ball 25 yards to player b. After catching the ball, player be immediately turns 90° to his left and runs wit

h the ball for 30 yards. At the end of the play, how far away is the ball from where it started? Round your answer to the nearest whole number

1 answer:

melamori03 [73]2 years ago

3 0

Answer: The ball is 39 yards away from where it started

Step-by-step explanation:

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Factor the expression.<br> 3x2 + 7x-6

Sedbober [7]

Answer:

this answer is. _48 am I right

3 0

3 years ago

Solve by square rooting : 3(X+2)^2:8

dolphi86 [110]

The value of x is √8/3 - 2

Step by step explanation:

The given equation is

3(x+2)^2=8

To find x,

(x+2)²= 8/3

By taking square root on both sides

x+2= √8/3

x=√8/3 -2

x= -0.37

Thus the square root for the given value is -0.37

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3 years ago

You have a basketball trophy in your room. The ball on the trophy has a diameter of 9 inches. What the volume of the ball?

saveliy_v [14]

Answer:

381.51 in^3

Step-by-step explanation:

Volume of a sphere = 4/3 x pi x r^3

r = 9/2 = 4.5

4/3 x 3.14 x 4.5^3 = 381.51 in^3

7 0

3 years ago

A sample of size 6 will be drawn from a normal population with mean 61 and standard deviation 14. Use the TI-84 Plus calculator.

AVprozaik [17]

Answer:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z$

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

8 0

3 years ago

Simplify 6x2y3/24y2x3

mafiozo [28]

      6 x² y³ / 24 x³ y²

Divide numerator
and denominator by x² :     6 y² / 24 x y²

Divide numerator
and denominator by y² : 6 / 24x

Divide numerator
and denominator by 6 :     <em> 1 / 4x </em>

6 0

3 years ago