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Leto [7]
2 years ago
6

What is 4(2x - 9) equivalent to?

Mathematics
2 answers:
almond37 [142]2 years ago
4 0

Answer:

8x-36

Step-by-step explanation:

4(2x-9)

Through distributing the 4 into 2x and -9 (multiply), 4(2x-9) is equivalent to:

8x-36

There are other solutions for this problem, but this is the most easily reachable solution.

-

You can check if the solution is equivalent & correct by first dividing it by 2:

\frac{8x-36}{2} =

4x-18

With that, you can factor out a 2 from both 4x and -18 to get:

4(2x-9)

Therefore, this solution is correct!

11111nata11111 [884]2 years ago
3 0
8x-36 after you distribute. Divide that by 8 and x=4.5.
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Mrs. Santos baked 25 cookies. 3 fifths of the cookies were oatmeal. How many oatmeal cookies did Mrs. Santos bake?
grigory [225]

Answer: 15 oatmeal cookies.

Step-by-step explanation:

There were 25 cookies baked.

Out of these, 3/5 are oatmeal cookies.

The amount of actual oatmeal cookies is:

= fraction of oatmeal cookies * total number of cookies

= 3/5 * 25

= 75 / 5

= 15 oatmeal cookies.

7 0
3 years ago
A random sample of n = 45 observations from a quantitative population produced a mean x = 2.5 and a standard deviation s = 0.26.
oee [108]

Answer:

P-value (t=2.58) = 0.0066.

Note: as we are using the sample standard deviation, a t-statistic is appropiate instead os a z-statistic.

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the population mean μ exceeds 2.4.

Then, the null and alternative hypothesis are:

H_0: \mu=2.4\\\\H_a:\mu> 2.4

The significance level is 0.05.

The sample has a size n=45.

The sample mean is M=2.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.26.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.26}{\sqrt{45}}=0.0388

Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.5-2.4}{0.0388}=\dfrac{0.1}{0.0388}=2.58

The degrees of freedom for this sample size are:

df=n-1=45-1=44

This test is a right-tailed test, with 44 degrees of freedom and t=2.58, so the P-value for this test is calculated as (using a t-table):

P-value=P(t>2.5801)=0.0066

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

7 0
3 years ago
Which dimensions can create more than one triangle?
garri49 [273]

Answer:

three sides measuring 4 ft, 8 ft, and 10 ft

Step-by-step explanation:

To choose which dimensions that can create more than one triangle, we consider the given values carefully and how possible it will be to construct.

The only dimensions given in the option that will be possible to create more than one triangle from it, is three sides measuring 4 ft, 8 ft, and 10 ft.

4 ft, 8 ft, and 10 ft are in simple multiple of 2

4 ft, 8 ft, and 10 ft  = 2 (2 ft, 4 ft, and 5 ft ), with this we can construct two triangles with three sides measuring 2 ft, 4 ft, and 5 ft.

3 0
3 years ago
Graph the following piecewise function.<br> 2 f(x)= x+3 if 4 &lt; x &lt;8<br> 2x if x 28<br> 2
just olya [345]

Answer:Find y:  5 + y  =  -15

Step-by-step explanation:

8 0
3 years ago
HELP ME I DON'T UNDERSTAND THIS :(
andriy [413]

Answer:

c

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

\frac{AD}{WZ} = \frac{CD}{YZ} , substitute values

\frac{10}{46} = \frac{5}{YZ} ( cross- multiply )

10YZ = 230 ( divide both sides by 10 )

YZ = 23 → c

3 0
3 years ago
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