Solve the equation 10x^2+11-6=0

Express 8 inches as a fraction of 3 feet in lowest terms

ArbitrLikvidat [17]

3 ft* 12 inches in a ft= 36 inches total

8/36= 2/9

Final answer: 2/9

7 0

3 years ago

Read 2 more answers

How to get 24 with 7 8 5 and 9

xxMikexx [17]

Answer:

Here's how

Step-by-step explanation:

7 plus 5 equals 12, minus 9, get 3 then multiply by 8 and get 24.

5 0

3 years ago

Spaulding is the leading maker for basketballs in the US. Spaulding prides itself on the quality that its basketballs have the r

Vesna [10]

Answer:

0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.

Step-by-step explanation:

The air pressure of a particular ball has a target value of 7.9 PSI.

This means that the null hypothesis is:

$H_{0}: \mu = 7.9$

The alternate hypothesis is:

$H_{a}: \mu \neq 7.9$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

The hypothesis tested means that $\mu = 7.9$

Suppose the basketballs have a normal distribution with a standard deviation of 0.20 PSI.

This means that $\sigma = 0.2$

When a shipment of basketballs arrive, the consumer takes a sample of 21 from the shipment and measures their PSI to see if it meets the target value, and finds the mean to be 7.3 PSI.

This means that $X = 7.3, n = 21$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{7.3 - 7.9}{\frac{0.2}{\sqrt{21}}}$

$z = -13.74$

pvalue:

We are testing that the mean pressure is different than the target value of 7.9, and since the test statistic is negative, the pvalue is 2 multiplied by the pvalue of z = -13.74, which we find looking at the z-table.

$z = -13.74$ has a pvalue of 0.

2*0 = 0

0 < 0.05, which means that we reject the null hypothesis, meaning that the air pressure of the balls is different of the target value of 7.9.

8 0

3 years ago

A tennis ball is 2 inch in diameter. How many tennis ball will fill a room of 20ft by 16ft by 18ft if no space wasted?

krek1111 [17]

The number of tennis ball that will fill the room is 1,371 tennis balls.

Given:

Diameter of ball (d) : 2 inch

Radius (r) = half of diameter = 1 inch

Dimension of room = 20ft by 16ft by 18ft

Number of balls that will fill the room = Volume of each ball/volume of the room

Volume of the ball = volume of a sphere = $\frac{4}{3} \pi r^{3}$

Where,

r = 1

let $\pi = 3.14$

Substitute:

$Volume = \frac{4}{3} \times 3.14 \times 1^{3} \\Volume = 4.2in^{3}$

Volume of the room = $20 \times 16 \times 18 \\$

$= 5,760$

Therefore:

number of tennis balls that will fill the room = $\frac{5,760}{4.2} = 1,371.4$

Therefore, the number of tennis ball that will fil the room will be approximately 1,371.

Learn more about volume here:

brainly.com/question/16098833

7 0

2 years ago

Need help finding intervals where the function is decreasing.

umka21 [38]

$f(x)=-5x-5\sin x\implies f'(x)=-5-5\cos x$

$f$ is decreasing on some interval $(a,b)$ if $f'(x)$ for all $x\in(a,b)$ . Similarly, $f$ is increasing on $(a,b)$ if $f'(x)>0$ for all $x\in(a,b)$ .