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4 years ago

How to combine these like terms

Mathematics

1 answer:

Arlecino [84]4 years ago

7 0

It is being distributed ( ex: 5(1), bring the 5 over and multiply: 5). Since -1 is the term that is distributing for both 8m and 32, multiplying both would equal= -8m (8m x -1, + x - = negative), +32 (notice the positive, - x - = positive). In conclusion, this would be -8m+32.

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if 20 men can finish a piece of work in 30 days how many additional numbers of mains will be employed to finish the work in 24 d

Cerrena [4.2K]

Answer:

Step-by-step explanation:

no of days no of men

30 20

24 20

30/24=x/20

24 x=30*20

24x=600

x=600/24

x=25

therefore 5 more men are needed to complete the work in 24 days

8 0

3 years ago

Suppose a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%. A cell phon

leva [86]

Answer:

We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Let p = proportion of households that have three cell phones NOT known.

So, Null Hypothesis, $H_0$ : p = 30% {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, $H_A$ : p $\neq$ 30% {means that the actual percentage of households different from 30%}

The test statistics that would be used here One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of households having three cell phones = $\frac{43}{150}$ = 0.29

n = sample of households = 150

So, the test statistics = $\frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }$

= -0.27

The value of z test statistic is -0.27.

Also, P-value of the test statistics is given by;

P-value = P(Z < -0.27) = 1 - P(Z $\leq$ 0.27)

= 1 - 0.6064 = 0.3936

Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the actual percentage of households is equal to 30%.

4 0

3 years ago

Please help! Divide. Write the quotient in lowest terms.

Mekhanik [1.2K]

The correct answer for this would be 32/5

6 0

3 years ago

En un salon de clases cuando se colocan cuatro alumnos en cada banca, 3 de ellos quedan sin puesto y cuando se colocan de a 5 en

Harlamova29_29 [7]

Answer: 5 benches and 23 students

Step-by-step explanation:

I will answer in English.

We have E students and B benches.

If we sit 4 students per bench, we have 3 students left.

then:

E = 4*B + 3

And if we sit 5 students per bench, there are two places with no students sited.

E = 5*B - 2

now we can replace the E in the second equation with the right part in the first equation:

4*B + 3 = 5*B - 2

3 + 2 = 5*B - 4*B

5 = B

So we have 5 benches, and:

E = 4*5 + 3 = 23 students.

5 0

3 years ago

8 of 10 Richard can type 100 words a minute. How many words can be typed in 3.5 minutes?

lesya [120]

Answer:

350

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers