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Express the following numbers as a product of their prime factors 24 Please show working

Studentka2010 [4]

Answer:

2 x 2 x 2 x 3

Step-by-step explanation:

Find two numbers that multiply together to form 24:

2 x 12 = 24

Find two numbers that multiply together to form 12, a factor of 24. Replace 12 with these numbers:

2 x (2 x 6) = 2 x 12 = 24

Find two numbers that multiply together to form 6, a factor of 12. Replace 6 with these numbers:

2 x (2 x (2 x 3)) = 2 x (2x6) = 2 x 12 = 24

Two and three cannot be factored any further, therefore the prime factors of 24 are 2, 2, 2, and 3.

8 0

2 years ago

When using the inspection method, which number would you add to (and subtract from) the constant term of the numerator in this e

olasank [31]

If i were you, i would add one to 7x and fifteen. this gives you x^2+8x+16, a perfect square of x+4.

3 0

2 years ago

A phone manufacturer wants to compete in the touch screen phone market. He understands that the lead product has a battery life

Tasya [4]

Answer:

(a) H₀: μ ≤ 10. vs. Hₐ: μ > 10.

(b) The test statistic value is 1.86.

(c) The critical value to test the phone manufacturer's claim is 1.301.

(d) The battery life of the new touch screen phone is not more than 10 hours.

Step-by-step explanation:

In this case we need to determine the significance of the claim made by the phone manufacturer, that the battery life of the new touch screen phone is more than twice as long as that of the leading product.

The information provided is:

$\bar x=10.5\\s=1.8\\n=45$

(a)

The hypothesis can be defined as follows:

H₀: The battery life of the new touch screen phone is not more than 10 hours, i.e. μ ≤ 10.

Hₐ: The battery life of the new touch screen phone is more than 10 hours, i.e. μ > 10.

(b)

As the population standard deviation is not provided, we will use a t-test for single mean.

Compute the test statistic value as follows:

$t=\frac{\bar x-\mu}{s/\sqrt{n}}=\frac{10.5-10}{1.8/\sqrt{45}}=1.86$

The test statistic value is 1.86.

(c)

The significance level of the test is, α = 0.10.

The degrees of freedom will be:

$df=n-1=45-1=44$

Compute the critical value as follows:

$t_{0.10, 44}=1.301$

*Use a t-table for the value.

Thus, the critical value to test the phone manufacturer's claim is 1.301.

(d)

Decision rule:

If the test statistic value is less than the critical value then the null hypothesis will be rejected and vice-versa.

t = 1.86 > t₀.₁₀, ₄₄ = 1.30

The calculated t-value of the test is more than the critical value.

The null hypothesis will not be rejected.

Thus, it can be concluded that the battery life of the new touch screen phone is not more than 10 hours.

6 0

2 years ago

Will mark the brainiest! What are the coordinates of the vertex of the graph of f(x)=−3|x−1|?

AleksAgata [21]

Answer:

well, the cheap answer is

f(x) = -3| x - 1 | is really just f(x) = -3| x - 1 | + 0.

now, what value of "x" makes the absolute value expression to 0?

well, let's just set it to 0 and check,

x - 1 = 0

x = 1

so if "x" ever becomes 1, the | x - 1| will turn to 0, therefore, the vertex is at

f(x) = -3| (1) - 1 | + 0 --------------> ( 1, 0 )

6 0

2 years ago

What is the least common multiple of the two denominators 6/8 4/32

kipiarov [429]

Answer:

2

Step-by-step explanation:

7 0

2 years ago

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