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3 years ago

What is 100 written as a product of prime factors

2 answers:

7 0

The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50 and 100. To find the prime factorization, first take any two of the factors that multiply to make 100. For instance, 25 x 4 = 100. Neither 25 nor four is a prime number, so each must be broken down further
There you go =)

gavmur [86]3 years ago

6 0

2² · 5²
i believe its two squared multiplied by five squared

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What is the inverse of the function g(x)=-\dfrac{2}{3}x-5g(x)=− 3 2 x−5g, left parenthesis, x, right parenthesis, equals, minu

Semenov [28]

Answer:

$g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$

Step-by-step explanation:

Given function,

$g(x) = -\frac{2}{3}x-5$

Step 1 : Replace g(x) by y:

$y = -\frac{2}{3}x-5$

Step 2 : Swap x and y:

$x = -\frac{2}{3}y-5$

Step 3 : Solve the equation for y ( isolate y in the left side ):

$x +\frac{2}{3}y=-5$

$\frac{2}{3}y=-5-x$

$y=\frac{3}{2}(-5-x)$

$y=-\frac{15}{2}-\frac{3}{2}x$

$y=-\frac{3}{2}x-\frac{15}{2}$

Step 4: Replace y by $g^{-1}(x)$ :

$g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$

Hence, the inverse of the function g(x) is $g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}$ .

8 0

3 years ago

Georgians bank account has a current balance of -$25 .50 said she deposit under $20 into account each month how much money will

tensa zangetsu [6.8K]

Answer: $54.50

Step-by-step explanation: If the bank account is currently overdrawn by $25.50, and then they deposit $20 per month for four months, they will have $54.50 in the account at the end of 4 months.

It is solved by multiplying 4 months x $20 = $80

Next, subtract (or add a negative) -$25.50 = $54.50

3 0

3 years ago

What is the solution to the equation 3 − 4(2m + 6) + 3m = −16? (put number answers only)

NISA [10]

Answer:

1. -1

2.-4

3. 2

4.10

4 0

3 years ago

Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.2 significance level. The

sattari [20]

Answer:

C. H0 : p = 0.8 H 1 : p ≠ 0.8

The test is:_____.

c. two-tailed

The test statistic is:______p ± z (base alpha by 2) $\sqrt{\frac{pq}{n} }$

The p-value is:_____. 0.09887

Based on this we:_____.

B. Reject the null hypothesis.

Step-by-step explanation:

We formulate null and alternative hypotheses as proportion of people who own cats is significantly different than 80%.

H0 : p = 0.8 H 1 : p ≠ 0.8

The alternative hypothesis H1 is that the 80% of the proportion is different and null hypothesis is , it is same.

For a two tailed test for significance level = 0.2 we have critical value ± 1.28.

We have alpha equal to 0.2 for a two tailed test . We divided alpha with 2 to get the answer for a two tailed test. When divided by two it gives 0.1 and the corresponding value is ± 1.28

The test statistic is

p ± z (base alpha by 2) $\sqrt{\frac{pq}{n} }$

Where p = 0.8 , q = 1-p= 1-0.8= 0.2

n= 200

Putting the values

0.8 ± 1.28 $\sqrt{\frac{0.8*0.2}{200} }$