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4 years ago

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Two numbers are unknown in the expression ⬜️ * {[(12-3)3]+(◽️ 6)-8} If the value of the expression is 98 what are the unknown

numbers. Both numbers are greater than 0

1 answer:

aksik [14]4 years ago

5 0

Try using 2 and 5.. 2x{[(12-3)x3]+(5x6)-8}=98

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FinnZ [79.3K]

Answer:

-8a^12b^6

Step-by-step explanation:

multiply each term with the power

4 0

3 years ago

Students are planning a 3-day hiking trip in the mountains. The hike covers a distance of 18.5 kilometers. The students hike 0.2

Iteru [2.4K]

9.11 kilometers
18.5 - 0.28 = 18.22
18.22 / 2 = 9.11

7 0

4 years ago

Two diagonals divide a square into 4 congruent triangles. The base of each triangle is 8 inches and the height is 5 inches. What

madam [21]

Answer:

64

Step-by-step explanation:

Youd do 8x8 because the base of the triangles are 8 and a square has equal sides all around

3 0

3 years ago

Can someone answer the blank ones please!!!

Katyanochek1 [597]

The equation is $155p+225f=5050$ .

If p = 17, f = 13. This value is a reasonable value in this context.

If f = 28, p = -10. This value is not reasonable in this context.

Step-by-step explanation:

Step 1:

$155p+225f=5050$ ,

where p is the part-time memberships and f is the number of full-time memberships.

Kiri needs to make $5,050 a month from this rented space.

Each part-time membership costs $155 and each full-time membership costs $225.

Step 2:

We need to calculate the value of f when p = 17,

Substituting the value, p = 17 in the equation, we get;

$125(17)+225f=5050$ , $225f=5050-125(17),$

$225f=2925, f = \frac{2925}{225}, f =13.$

The value of f = 13 and p = 17. This is a reasonable value in this context.

Step 3:

We need to calculate the value of p when f = 28,

Substituting the value, f = 28 in the equation, we get;

$125p+225(28)=5050$ , $125p=5050-225(28)$

$125p=-1250, p = \frac{-1250}{125}, p=-10.$

The value of f = 28 and p = -10. This is not a reasonable value in this context. as the values of f and p cannot be negative for this given equation.

5 0

3 years ago

A sample of 200 observations from the first population indicated that X1 is 170. A sam- ple of 150 observations from the second

nikitadnepr [17]

Answer:

a. If the P-value is smaller than the significance level, the null hypothesis is rejected.

b. Pooled proportion = 0.8

c. z = 2.7

d. As the P-value (0.0072) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is enough evidence to support the claim that the proportions differ significantly.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

We will use the P-value approach, so the decision rule is that if the P-value is lower than the significance level, the null hypothesis is rejected.

The claim is that the proportions differ significantly.

Then, the null and alternative hypothesis are:

$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0$

The significance level is 0.05.

The sample 1, of size n1=200 has a proportion of p1=0.85.

$p_1=X_1/n_1=170/200=0.85$

The sample 2, of size n2=150 has a proportion of p2=0.7333.

$p_2=X_2/n_2=110/150=0.7333$

The difference between proportions is (p1-p2)=0.1167.

$p_d=p_1-p_2=0.85-0.7333=0.1167$

The pooled proportion, needed to calculate the standard error, is:

$p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{170+110}{200+150}=\dfrac{280}{350}=0.8$

The estimated standard error of the difference between means is computed using the formula:

$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.8*0.2}{200}+\dfrac{0.8*0.2}{150}}\\\\\\s_{p1-p2}=\sqrt{0.0008+0.00107}=\sqrt{0.00187}=0.0432$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.1167-0}{0.0432}=\dfrac{0.1167}{0.0432}=2.7$

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

$P-value=2\cdot P(z>2.7)=0.0072$

As the P-value (0.0072) 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 proportions differ significantly.

6 0

3 years ago