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inn [45]
2 years ago
9

4(−15−3p)−4(−p+5) Expand the expression and combine like terms

Mathematics
2 answers:
Allushta [10]2 years ago
8 0
Ok so when you distribute you get -60-12p+4p-20 then you will do -60+-20 which is -80 then you do -12p+4p which you get -8p then overall its -8p-80
sergij07 [2.7K]2 years ago
4 0
4(−15−3p)−4(−p+5)
-60-12p -4(-p+5)
-60-12p +4p-20
-80-12p+4p
-80-8p

Rearrange into standard form
-8p-80

Final answer: -8p-80
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Which of the following is equivalent to 3 (small) 4?<br><br> 7<br> 12<br> 64<br> 81
anygoal [31]
Do you mean 3^4?

If you mean this^ the answer would be 81.

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2 years ago
The ratio of girls to boys in jame’s chorus is 2 to 4. If there are 25 girls in her chorus, how many boys are there ?
Brilliant_brown [7]

Answer:

There are 50 boys

Step-by-step explanation:

girls to boys - 2:4

so 25x2=50

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3 years ago
What is the altitude of a rhombus if its area is 10 square meters and the length on one side is 2.5 meters?
Elan Coil [88]
10/2.5= 4 the answer is 4 meters because you just divide them. 

4 0
2 years ago
Read 2 more answers
When people make estimates, they are influenced by anchors to their estimates. A study was conducted in which students were aske
12345 [234]

Answer:

The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0

where μ1: mean calorie estimation for the cheesecake group and μ2: mean calorie estimation for the organic salad group.

There is enough evidence to support the claim that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first (P-value=0.0000002).

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Suppose that the study was based on a sample of 20 people who thought about the cheesecake first and 20 people who thought about the organic fruit salad first, and the standard deviation of the number of calories in the cheeseburger was 128 for the people who thought about the cheesecake first and 140 for the people who thought about the organic fruit salad first.</em>

<em>At the 0.01 level of significance, is there evidence that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first?"</em>

<em />

This is a hypothesis test for the difference between populations means.

The claim is that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.

Then, the null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0

The significance level is 0.01.

The sample 1 (cheese cake), of size n1=20 has a mean of 780 and a standard deviation of 128.

The sample 2 (organic salad), of size n2=20 has a mean of 1041 and a standard deviation of 140.

The difference between sample means is Md=-261.

M_d=M_1-M_2=780-1041=-261

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

s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{128^2}{20}+\dfrac{140^2}{20}}\\\\\\s_{M_d}=\sqrt{819.2+980}=\sqrt{1799.2}=42.417

Then, we can calculate the t-statistic as:

t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{-261-0}{42.417}=\dfrac{-261}{42.417}=-6.153

The degrees of freedom for this test are:

df=n_1+n_2-1=20+20-2=38

This test is a left-tailed test, with 38 degrees of freedom and t=-6.153, so the P-value for this test is calculated as (using a t-table):

P-value=P(t

As the P-value (0.0000002) is smaller than the significance level (0.01), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.

3 0
2 years ago
Find the perimeter and the area of the figure
valina [46]

Answer:

area=112

perimeter=56

3 0
1 year ago
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