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3 years ago

Eight times the sum of a number and 6 equals 2

Mathematics

2 answers:

a_sh-v [17]3 years ago

7 0

Answer:

n = -23/4

Step-by-step explanation:

8(n+6) = 2

4(n+6) = 1

4n+24 = 1

4n = -23

n = -23/4

Dmitry [639]3 years ago

5 0

Answer:

Number = -1/2

Step-by-step explanation:

Let the number = x

Now

According to given conditions:

8x + 6 = 2

Subtracting 6 from both sides we get:

8x + 6 - 6 = 2 - 6

8x = -4

Dividing both sides by 8 we get:

x = -4/8

Reducing to lowest form:

x = -1/2

Proof:

8(-1/2) + 6 =2

-8/2 +6 =2

-4 + 6 =2

2 = 2

Hence proved

I hope it will help you !

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Which of the follow triangles is similar to APOR?

Paul [167]

Answer:

Step-by-step explanation:

For each triangle, you are given two sides and the included angle (the one between those 2 sides). That's side-angle-side, so it is S-A-S.

The SAS Rule for Similar Triangles says that for 2 triangles X and Y, if you have the SAS of one and the SAS of the other, then X and Y are similar (same shape and proportions) if

(a) the angle in X is congruent (same) as the angle in Y

(b) the ratio between the two given sides in X is the same as the ratio between the two given sides in Y

For this particular problem, the ratio PR/PQ = 18/21 = 6/7 if you simplify by dividing both top and bottom by 3.

So we are looking for another triangle where we have the same ratio. (Put the smaller number on top, in the fraction.)

Answer A: 12/15 simplifies to 4/5, wrong answer

Answer B: 9/12 simplifies to 3/4, wrong answer

Answer C: 6/10 simplifies to 3/5, wrong answer

Answer D: 15/17.5 looks harder, because there is a decimal in it. But we know 17.5 is just 17 and a half, so I would first multiply top and bottom by 2

We get 30/35. That looks a lot better. Now it is easier to see we can divide both top and bottom by 5.

We get 6/7! That is the correct answer, so D is the triangle similar to PQR.

7 0

2 years ago

Helppppp please will give brainlist

NeX [460]

Answer:

D or answer 4 y=-5/2x+7

Step-by-step explanation:

Well we can first start of by finding the y-intercept.

Note that when x=0, you can find your y-intercept.

Knowing this, and looking at the table, 7 is the y-intercept because when y=7, x=0.

So we can eliminate choices 'a' and 'c,' or answers 1 and 3, because they have the y-intercept as -7, when it's just 7.

Please know that in the equation:

y = mx + b

y = y-coordinate or any given point

mx = slope

b = y-intercept

Now we must find slope

To find the slope we need to do:

(y2 - y1) / (x2 - x1) or rise/run

The two coordinates I choose to use is (0, 7) and (6, -8).

(-8 - 7) / (6 - 0) = -5/2

-5/2 is the slope

Finally, look for an equation that has 7 as the y-intercept and -5/2 as the slope.

Answer: D or answer 4

7 0

3 years ago

35 POINT QUESTION!! WILL GIVE BRAINLIEST!!<br><br> Is x + 2 a factor of P(x) = 2x^3 + 5x^2 + 5x + 6?

Sphinxa [80]

Answer:

Yes

Step-by-step explanation:

8 0

3 years ago

Suppose a batch of metal shafts produced in a manufacturing company have a population standard deviation of 1.3 and a mean diame

lbvjy [14]

Answer:

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 208, \sigma = 1.3, n = 60, s = \frac{1.3}{\sqrt{60}} = 0.1678$

What is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Lesser than 208 - 0.1 = 207.9 or greater than 208 + 0.1 = 208.1. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Lesser than 207.9.

pvalue of Z when X = 207.9. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{207.9 - 208}{0.1678}$

$Z = -0.6$

$Z = -0.6$ has a pvalue of 0.2743

2*0.2743 = 0.5486

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

6 0

3 years ago

Easy, need help, thanks.

TEA [102]

Answer:

Step-by-step explanation:

The triangles are congruent bu HL.

m<RCD = m<PCD = 35 deg

5 0

2 years ago

Read 2 more answers