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garik1379 [7]
3 years ago
5

Solve for b. 3-2(b-2)=2-7b3−2(b−2)=2−7b

Mathematics
1 answer:
lyudmila [28]3 years ago
3 0

Step-by-step explanation:

3 - 2(b - 2) = 2 - 7b

To solve this first distribute -2 to (b - 2)

3 + (-2b + (-2) x -2) = 2 - 7b

when we simplify this it becomes:

3 + (-2b + 4) = 2 - 7b

We take (-2b + 4) out of the parenthesis:

3 - 2b + 4 = 2 - 7b

Now simplify again.

7 - 2b = 2 - 7b

Now send all the b's to one side and constants on the other.

7 - 2 = -7b +2b

5 = 5b

b = 1

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Eight more than four times a number is negative twelve
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The equation is 4x+8=-12 so you subtract 8 from both sides to give you 4x=-20, then you divide by 4 to get x=-5
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If two chords are perpendicular to each other and one chord is bisected, what do you know about the other chord?
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The answer is the second one. "It is the diameter."
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4 years ago
I need to know how to do the whole thing and understand it.
patriot [66]

We are given the data on the number of candies handed by neighborhood A and neighborhood B.

Let us first find the mean and variance of each neighborhood.

Mean:

\bar{x}_A=\frac{\sum x}{N_1}=\frac{12}{6}=2\bar{x}_B=\frac{\sum x}{N_2}=\frac{20}{6}=3.33

Variance:

s_A^2=\frac{\sum x^2}{N_1}-\bar{x}_A^2=\frac{28}{6}-2^2=0.667s_B^2=\frac{\sum x^2}{N_2}-\bar{x}_B^2=\frac{80}{6}-3.33^2=2.244

A. Null hypothesis:

The null hypothesis is that there is no difference in the mean number of candies handed out by neighborhoods A and B.

H_0:\;\mu_A=\mu_B

Research hypothesis:

The research hypothesis is that the mean number of candies handed out by neighborhood A is more than neighborhood B.

H_a:\;\mu_A>\mu_B

Test statistic (t):

The test statistic of a two-sample t-test is given by

t=\frac{\bar{x}_A-\bar{x}_B}{s_p}

Where sp is the pooled standard deviation given by

\begin{gathered} s_p=\sqrt{\frac{N_1s_1^2+N_2s_2^2}{N_1+N_2-2}(\frac{N_1+N_2}{N_1\cdot N_2}}) \\ s_p=\sqrt{\frac{6\cdot0.667+6\cdot2.244}{6+6-2}(\frac{6+6}{6\cdot6})} \\ s_p=0.763 \end{gathered}t=\frac{2-3.33}{0.763}=-1.74

So, the test statistic is -1.74

Critical t:

Degree of freedom = N1 + N2 - 2 = 6+6-2 = 10

Level of significance = 0.05

The right-tailed critical value for α = 0.05 and df = 10 is found to be 1.81

Critical t = 1.81

We will reject the null hypothesis because the calculated t-value is less than the critical value.

Interpretation:

This means that we do not have enough evidence to conclude that neighborhood A gives out more candies than neighborhood B.

6 0
1 year ago
A store buys an item for $28 and sells it for $35. What is the percent markup?
MissTica
It is a 25% markup. This is true since if you subtract 35-28=7. Then, 7/28=0.25 and 0.25*100=25%
5 0
4 years ago
Read 2 more answers
mary decreased her time in the mile walk from 30 minutes to 24 minutes. What was the percent of decrease?
fredd [130]
(24/30)*100 = 80%

Therefore she decreased from 100% to 80%, which is about 20% decrease.
Thus, the answer is 20%



Another way to do this is.

\frac{(Original value - current value)}{Original value} * 100% = percentage of change in value


Which in this case is 
\frac{30-24}{30} * 100% = 20%
3 0
3 years ago
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