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4 years ago

Mason says that (12x + 4) - (-3x + 5) and 15x - 1 are equivalent. Is he correct? Explain

Mathematics

2 answers:

julia-pushkina [17]4 years ago

6 0

Answer:

Yes

Step-by-step explanation:

12x minus -3x is the same as adding two positives. That gives us 15x. 4 - 5 is -1. Putting the two simplified parts of the expression together, we get 15x - 1. Mason is correct.

IceJOKER [234]4 years ago

3 0

Answer:

yes

Step-by-step explanation:

12x+4-(-3x+5)=15x-1

12x+4+3x-5=15x-1

15x-1=15x-1

yes theyre equal

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Which number line shows the estimate of 22 in the correct interval of integers?

Marta_Voda [28]

Answer:

the answer is B

Step-by-step explanation:

Just estimate ex: 5 x 5 would be 25, so sqrt 22 would be just before the 5.

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3 years ago

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In the figure below, BD and AC are diameters of circle P.

elena-14-01-66 [18.8K]

Answer:

$arc\ DC=30^o$

Step-by-step explanation:

The picture of the question in the attached figure

The point P is the center of the circle (the drawing is not a scale )

step 1

Find the measure of angle ∠CPD

we know that

$m\angle CPD+150^o=180^o$ ---> by supplementary angles (form a linear pair)

$m\angle CPD=180^o-150^o=30^o$

step 2

Find the measure of arc DC

we know that

Central angle is the angle that has its vertex in the center of the circumference and the sides are radii of it

$arc\ DC=m\angle CPD$ ----> by central angle

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3 years ago

A veterinarian wants to know if pit bulls or golden retrievers have a higher incidence of tooth decay at the age of three. The v

BigorU [14]

Answer: B) [-0.0332,0.1332]

Step-by-step explanation: Confidence Interval is an interval where we can be a percentage sure the true mean is.

The confidence interval for a difference in population proportion is calculated following these steps:

First, let's find population proportion for each population:

$p_{1}=\frac{30}{120}=0.25$

$p_{2}=\frac{32}{160}=0.2$

Second, calculate standard deviation for each proportion:

$\sigma_{1}=\sqrt{\frac{0.25(0.75)}{120} } = 0.0395$

$\sigma_{2}=\sqrt{\frac{0.2(0.8)}{160} } = 0.0316$

Now, we calculate standard error for difference:

$SE=\sqrt{\sigma_{1}^{2}+\sigma_{2}^{2}}$

$SE=\sqrt{0.0395^{2}+0.0316^{2}}$

SE = 0.0505

The z-score for a 90% CI is 1.645.

Then, confidence interval is

$p_{1}-p_{2}$ ± z-score.SE

$0.25-0.2$ ± $1.645(0.0505)$

0.05 ± 0.0831

The limits of this interval are:

inferior: 0.05 - 0.0831 = $-0.0332$

superior: 0.05 + 0.0831 = 0.1332

The 90% confidence interval for the difference in the population proportion of pit pulls and golden retrievers is $[-0.0332,0.1332]$ .

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3 years ago

Guided Practice

S_A_V [24]

Answer:

A.481.25

Step-by-step explanation:

d=rt

Plug in numbers

d=38.5(12.5)

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3 years ago

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Gennadij [26K]

841 rounded to the nearest 10th is 840...hope this helps u :)

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3 years ago

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