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kiruha [24]
3 years ago
6

4. (7x + 5) – (3x + 2) =

Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0
Collect like terms and calculate the sum
answer is: 4x+7
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How do you simplify 2(m+5)+8(6m+1)
galina1969 [7]
You must use distributive property to get 2m+10+48m+8 and then add all like terms. You get 50m+18 as your final answer.
5 0
3 years ago
Read 2 more answers
In a recent Super Bowl, a TV network predicted that 50 % of the audience would express an interest in seeing one of its forthcom
coldgirl [10]

Answer:

z= -0.968

We can conclude that we fail to reject the null hypothesis, and we can said that at 5% of significance the proportion of people who says that  they would watch one of the television shows not differs from 0.5 or 50% .  

Step-by-step explanation:

1) Data given and notation n  

n=106 represent the random sample taken

X=48 represent the people who says that  they would watch one of the television shows.

\hat p=\frac{48}{106}=0.453 estimated proportion of people who says that  they would watch one of the television shows.

p_o=0.5 is the value that we want to test

\alpha represent the significance level  

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that 50% of people who says that  they would watch one of the television shows.:  

Null hypothesis:p=0.5  

Alternative hypothesis:p \neq 0.5  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.453 -0.5}{\sqrt{\frac{0.5(1-0.5)}{106}}}=-0.968  

4) Statistical decision  

P value method or p value approach . "This method consists on determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level is not provided, but we can assume \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z  

So based on the p value obtained and using the significance level assumed \alpha=0.05 we have p_v>\alpha so we can conclude that we fail to reject the null hypothesis, and we can said that at 5% of significance the proportion of people who says that  they would watch one of the television shows not differs from 0.5 or 50% .  

6 0
3 years ago
Which estimate is the closest to actual value of (2.99548) (1.8342)?
Jet001 [13]
The answer will be B ~5.5
4 0
3 years ago
Read 2 more answers
Two lines, A and B, are represented by the equations given below!
lara [203]

Answer:

The solutions to the system of equations are:

y=-8,\:x=-4

Thus, option C is true because the point satisfies BOTH equations.

Step-by-step explanation:

Given the system of the equations

\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}

y-3x=4

-

\underline{y-x=-4}

-2x=8

\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}

solve for x

-2x=8

Divide both sides by -2

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

x=-4

\mathrm{For\:}y-x=-4\mathrm{\:plug\:in\:}x=-4

y-\left(-4\right)=-4

y+4=-4

y=-8

The solutions to the system of equations are:

y=-8,\:x=-4

Thus, option C is true because the point satisfies BOTH equations.

8 0
3 years ago
A group of teens were surveyed about whether they prefer to read books or listen to music. A 3-column table with 3 rows. Column
Ostrovityanka [42]

Answer:

B, D

Step-by-step explanation:

on Edge :)

8 0
2 years ago
Read 2 more answers
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