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jeka57 [31]
2 years ago
14

If 3x - 2 = -x + 10, then x =

Mathematics
2 answers:
Anton [14]2 years ago
4 0

Answer:

3x-2 = -x+10

or, 3x+x=10+2

or, 4x=12

or, x=12/4

So, x=3

Oxana [17]2 years ago
3 0

Answer: 3

Step-by-step explanation:

Step 1: Add x to both sides.

3x−2+x=−x+10+x

4x−2=10

Step 2: Add 2 to both sides.

4x−2+2=10+2

4x=12

Step 3: Divide both sides by 4.

4x

4

=

12

4

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Can someone help me figure this out: Factor 12y^2-27? I keep getting the steps confused.
alukav5142 [94]
Factor out the gcf first.

3(4y^2-9)

The binomial inside is a perfect square so keep factoring.

3(2y+3)(2y-3)

The pair of binomials cannot be further factored so stop there.
8 0
3 years ago
Do the phrase is 38-15 and 15 less than 38 mean the same thing explain
vivado [14]

Answer:

yes

Step-by-step explanation:

it's saying pretty much take 15 out of 38

7 0
3 years ago
a national survey conducted among a simple random sample of 1,507 adults shows that 56% of americans think the civil war is stil
soldier1979 [14.2K]

a)

z=4.658\\p_v=P(z > 4.65)=1-P(z < 4.65)=1.581x*10^{-6}

b) By assuming a significance level of α = 0.05 and observing that p_v > α, we can reject the null hypothesis at this level of significance. And in this instance, it makes sense that more than 50% of Americans believe that the Civil War still has an impact on American politics and political life.

c) The confidence interval at 90% would be shown (0.527;0.593).

About 54% to 59% of all Americans, in our opinion, believe that the Civil War is still significant today.

<h3>What is a survey?</h3>

A survey is a set of questions used in human subject research with the goal of gathering specific information from a certain population. Surveys can be carried out via the phone, by mail, online, at street corners, and even in shopping centers.

a)

1) The presented data and the notation "n=1507" refer to the random sample of Americans, "X" denoting the proportion of those Americans in the sample who believe that the Civil War is still significant to American politics and political life, and "p cap" denoting the estimated number of those Americans.

Since the problem specifies that majority  α=0.05 represents the significance threshold, p_0 is the number that we wish to test (no given, but is assumed)

Z would stand for the statistic (interesting variable), and p_v for the p value (variable of interest)

P is the percentage of the public that believes that the Civil War still has an impact on American politics and political life.

2) Useful concepts and formulas

The allegation that more Americans than 50% believe the Civil War is still significant to American politics and political life needs to be tested through a hypothesis (Majority). :

Alternative Hypothesis: p\geq 0.5

Null Hypothesis: p\leq 0.5

The proportion is thought to have a normal distribution.

This test for the percentage of union membership has one tail higher.

Verify whether the sample conforms to the presumptions required for the test to be applied.

a) The random sample must be representative; in this situation, there is no mention of this issue, but it is safe to presume that it exists.

b) The sample size must be sufficient.

np_0=1507*0.5=753.5 > 10\\n(1-p_0)=1507*(1-0.5)=753.5 > 10

3. Determine the statistic.

The formula used to calculate the statistic is as follows:

z=\frac{p-p_0}{\sqrt{\frac{p_0(1-p_0)}{n} } }= \frac{0.56-0.5}{\sqrt{\frac{0.5(1-0.5)}{1507} } }=4.658

P value= p_v=P(z > 4.65)=1-P(z < 4.65)=1.581*x*10^{-6}

According to the alternative hypothesis, the following would be the p value:

P value= p_v=P(z > 4.65)=1-P(z < 4.65)=1.581*x*10^{-6}

Using this formula, the confidence interval would be determined.

p ± z_{\frac{\alpha }{2}}\sqrt{\frac{p(1-p)}{n} }

With the value of \alpha and \alpha _2, we can get the quantile necessary for the interval in the normal standard distribution for the 90% confidence interval.

z_{\frac{\alpha }{2} }=2.58

adding the following to the formula for the confidence interval:

0.56-2.58\sqrt{\frac{0.56(1-0.56)}{1507} } = 0.527\\0.56+2.58\sqrt{\frac{0.56(1-0.56)}{1507} } = 0.593

Also provided would be the 90% confidence interval (0.527;0.593).

About 54% to 59% of all Americans, in our opinion, believe that the Civil War is still significant today.

And because the interval does not contain the value of 0.5, we can conclude that, at a 90% level of confidence, the percentage of Americans who believe that the Civil War is still relevant to American politics and political life is higher than 0.5. This result is consistent with the result of part b.

To know more about survey, visit:

brainly.com/question/13192080

#SPJ4

6 0
2 years ago
A school pays $1,825 for 150 shirts. This includes the $25 flat-rate shipping cost. What equation models the total cost as a fun
likoan [24]

Answer:

c(t) = 25 +12 * t

where t is the number of shirts

Step-by-step explanation:

The total cost for the shirts  is the flat fee plus the cost per shirt times 150 shirts

total = fee + cost per shirt* shirts

1825 = 25 +c*150  

 where c is the cost per shirt

We need to determine the cost per shirt by subtracting 25 from each side

1825-25 = 150c

1800 =150c

Divide by 150 on each side

1800/150 =150c/150

12 =c

Each shirt costs 12 dollars

We want to make the function in terms of cost per shirt

c(t) = 25 +12 * t

where t is the number of shirts

6 0
3 years ago
Which is more, 285 inches or 8 yards? 285 inches 8 yards neither; they are equal submit?
Dima020 [189]
285 inches = 7.91667 yards

so if you round up they are equal but if you don't they are not equal
7 0
3 years ago
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