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frosja888 [35]
2 years ago
5

Factor the polynomial 16z2 + 25

Mathematics
2 answers:
Usimov [2.4K]2 years ago
6 0
This cant be factored
den301095 [7]2 years ago
3 0

16z^2 + 25

This polynomial is already in lowest terms.

Answer: Cannot be factored.

This happens with certain polynomials.

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Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that th
11111nata11111 [884]

Answer:

The null hypothesis is H_0: \mu = 14

The alternate hypothesis is H_a: \mu < 14

The test statistic is t = -1.95.

The p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the  highlighters wrote for less than 14 continuous hours.

Step-by-step explanation:

Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that their highlighters could write continuously for 14 hours.

At the null hypothesis, we test if the mean is 14 hours, that is:

H_0: \mu = 14

At the alternate hypothesis, we test if the mean is less than 14 hours, that is:

H_a: \mu < 14

The test statistic is:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

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

14 is tested at the null hypothesis:

This means that \mu = 14

X = 13.6 hours, s = 1.3 hours. Sample of 40:

In addition to the values of X and s given, we have that n = 40

Test statistic:

t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{13.6 - 14}{\frac{1.3}{\sqrt{40}}}

t = -1.95

The test statistic is t = -1.95.

P-value:

The p-value of the test is the probability of finding a sample mean lower than 13.6, which is a left tailed test, with t = -1.95 and 40 - 1 = 39 degrees of freedom.

Using a calculator, the p-value is of 0.0292. This means that for a level of significance of 0.0292 and higher, there is sufficient evidence to conclude that the  highlighters wrote for less than 14 continuous hours.

5 0
2 years ago
Tanveer bought 0.7 pounds of sliced ham at his local deli. If the deli charged $6.79 per pound, how much did Tanveer pay?
lubasha [3.4K]

Answer:

$4.75

Step-by-step explanation:

As the price per pound is a one-to-one ratio, one could just simply multiply by using: 0.7 lbs * ($6.79 / 1 lb) = $4.75/1 = $4.75

7 0
2 years ago
Read 2 more answers
What is the answer, and how do I solve that equation in order to get my answer? I really want to get the hang of this.
Mrrafil [7]

Answer:

-x^2+4x+6

Step-by-step explanation:

f(x) = 4x+1

g(x) = x^2 - 5

(f-g) (x) = 4x+1 - ( x^2 - 5)

Distribute the minus sign

            = 4x+1 - x^2 +5

 Combine like terms

         = -x^2+4x+6

6 0
2 years ago
Are the roots equal or unequal ?<br><img src="https://tex.z-dn.net/?f=x%20%7B%7D%5E%7B2%7D%20%20-%206x%20%2B%209%20%3D%200" id="
vesna_86 [32]
This can be factored as (x-3)^2, so they are equal
3 0
2 years ago
The difference between 5 times a number and 3 is 12 write and solve the equation
Pani-rosa [81]
5n-3=12 (equation)
n=3
3 0
3 years ago
Read 2 more answers
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