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3 years ago

How do you solve this?-2x+8=3x+14thanks

Mathematics

2 answers:

kobusy [5.1K]3 years ago

7 0

Given:

$-2x+8=3x+14$

Our goal is to isolate x on one side of the variable with no coefficient. Let's begin. First, let's get subtract 3x from both sides to cancel the +3x on the right. We are then left with:

$-5x+8=14$

Next, subtract 8 from both sides to cancel the +8 on the right. This isolates x on the left side. When we do that, we get:

$-5x=6$

Since we are solving for x, x cannot have a coefficient. To remove the coefficient, divide both sides by the coefficient, which is -5.

$\frac{-5x}{-5}=\frac{6}{-5}$

Simplify.

$x=-\frac{6}{5}$

WARRIOR [948]3 years ago

4 0

Question: -2x + 8 = 3x + 14

Steps:

1. Subtract 3x from both sides

-2x - 3x + 8 = 3x - 3x + 14

2. Simplify:

-5x + 8 = 14

3. Then, subtract 8 from both sides:

-5x + 8 - 8 = 14 - 8

4. Simplify,

-5x = 6

5. Then, divide both sides by -5

-5x/-5 = 6/-5

6. Simplify,

x = -6/5 <--------------- Answer

Hope this helped!!!!

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The mean weight of 10 randomly selected newborn babies at a local hospital is 7.14 lbs and the standard deviation is 0.87 lbs. A

sergejj [24]

Answer:

a) $ME= 1.83 \frac{0.87}{\sqrt{10}}=0.5035$

b) 90% of all samples of size 10 have sample means within 0.5035 of the population mean.

c) The 90% confidence interval would be given by (6.636;7.643)

d) Yes, since the lower limit for the 90% confidence interval is higher than the value of 6.5 we can conclude that the true mean is significantly higher than 6.5 at 10% of significance. (6.636>6.5)

e) If we increase the confidence level that implies increase the margin of error. Since with more confidence level the value for the critical value $t_{\alpha/2}$ increase. So then the new interval would be wider than the original.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=7.14$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=0.87 represent the sample standard deviation

n=10 represent the sample size

Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And the margin of error is given by:

$ME= t_{\alpha/2}\frac{s}{\sqrt{n}}$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=10-1=9$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,9)".And we see that $t_{\alpha/2}=1.83$

$ME= 1.83 \frac{0.87}{\sqrt{10}}=0.5035$

Part b

90% of all samples of size 10 have sample means within 0.5035 of the population mean.

Part c

Now we have everything in order to replace into formula (1):

$7.14-1.83\frac{0.87}{\sqrt{10}}=6.637$

$7.14+1.83\frac{0.87}{\sqrt{10}}=7.643$

So on this case the 90% confidence interval would be given by (6.636;7.643)

Part d

Yes, since the lower limit for the 90% confidence interval is higher than the value of 6.5 we can conclude that the true mean is significantly higher than 6.5 at 10% of significance. (6.636>6.5)

Part e

If we increase the confidence level that implies increase the margin of error. Since with more confidence level the value for the critical value $t_{\alpha/2}$ increase. So then the new interval would be wider than the original.

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4 years ago

You and your friends decide to play video games online together on Saturday. One particular game charges a one-time fee of $10 t

Helen [10]

Answer:

Step-by-step explanation:

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4 years ago

Read 2 more answers

Question 1

Vladimir79 [104]

We have that

<span>question 1
Add or subtract.
4m2 − 10m3 − 3m2 + 20m3
=(4m2-3m2)+(20m3-10m3)
=m2+10m3

the answer is the option
</span><span>B: m2 + 10m3

</span><span>Question 2:
Subtract. (9a3 + 6a2 − a) − (a3 + 6a − 3)
=(9a3-a3)+(6a2)+(-a-6a)+(-3)
=8a3+6a2-7a-3

the answer is the option
</span><span>B: 8a3 + 6a2 − 7a + 3

</span><span>Question 3:
A company distributes its product by train and by truck. The cost of distributing by train can be modeled as −0.06x2 + 35x − 135, and the cost of distributing by truck can be modeled as −0.03x2 + 29x − 165, where x is the number of tons of product distributed. Write a polynomial that represents the difference between the cost of distributing by train and the cost of distributing by truck.

we have that
[</span>the cost of distributing by train]-[the cost of distributing by truck]
=[−0.06x2 + 35x − 135]-[−0.03x2 + 29x − 165]
<span>=(-0.06x2+0.03x2)+(35x-29x)+(-135+165)
=-0.03x2+6x+30

the answer is the option
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</span>

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3 years ago

Find the area of this shape <br><br> please

Elena-2011 [213]

<h3> $Area \:of\: rectangle = l \times b \\ = 3 \times 6 \\ = 18 {cm}^{2}$ </h3><h3> $Area\: of\: triangle = \frac{ab}{2} \\ = \frac{4 \times 6}{2} \\ = 12 {cm}^{2}$ </h3>

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2 years ago

Read 2 more answers

B2-4ac when a = 6, b=5, and c=-1

Alexus [3.1K]

If I am reading this correctly then the answer would be 14

b2 - 4ac =
(5) x 2 - 4 x (6) x (-1) = 14

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3 years ago