Ten times the square of a non zero number is equal to ninety times the number. what is the number?

How many solutions do these have

V125BC [204]

Answer:

See explanation below

Step-by-step explanation:

a. One solution (p = 1/4)

b. Infinite amount of solutions (No matter what value for p is, the equation will always be 7=7)

c. One solution (p = 12)

d. No solution (No matter what value for p is, the equation will always be 3 = -1, which wouldn't work)

3 0

3 years ago

The number of water bottles used during a teams football practice varies directly with the temperature. If a team uses 75 water

lutik1710 [3]

Supposing the temperature of 60 degrees increases twice, it becomes 120 degrees (100% increase) and the bottles increase twice as well to 150 bottles (100% increase).

If there are 120 bottles used, we can calculate the temperature using the above assumption when bottle usage increase to 100% which is 150 bottles.

120 bottles/ 150 bottles = 0.8 or 80%

So, if 100% increase in temperature is defines by 120 degrees, what is 80% of 120 degrees?

Then 120 degrees divided by 0.8 will result to 96 degrees (so the answer is letter D) -- the temperature when 120 bottles were used by athletes.

8 0

3 years ago

Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail inste

Vladimir [108]

Answer:

The value of t test statistics is 5.9028.

We conclude that the true mean is greater than 10 at the .01 level of significance.

Step-by-step explanation:

We are given that a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead.

The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages.

Let $\mu$ = true mean transmission of pages.

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 10 pages {means that the true mean is smaller than or equal to 10}

Alternate Hypothesis, $H_A$ : $\mu$ > 10 pages {means that the true mean is greater than 10}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean = 14.44 pages

s = sample standard deviation = 4.45 pages

n = sample of fax transmissions = 35

So, test statistics = $\frac{14.44-10}{\frac{4.45}{\sqrt{35} } }$ ~ $t_3_4$

= 5.9028

(a) The value of t test statistics is 5.9028.

Now, at 0.01 significance level the z table gives critical values of 2.441 at 34 degree of freedom for right-tailed test.

Since our test statistics is more than the critical values of z as 5.9028 > 2.441, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the true mean is greater than 10.

(b) Now, P-value of the test statistics is given by the following formula;

P-value = P( $t_3_4$ > 5.9028) = Less than 0.05% {using t table)

7 0

3 years ago

Pls help it's confusing

cricket20 [7]

73-14=59
The fish is now 59 feet below sea level.

5 0

3 years ago

Read 2 more answers

Help. Me. Please. Pt1