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3 years ago

What is the value of X 8+4x+2+56-42x

Mathematics

1 answer:

Stels [109]3 years ago

3 0

Answer:

i cannot answer the value of X unless there is an equal sign but the equation simplified is 66-38x

Step-by-step explanation:

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$13,000 was borrowed from two sources, one that charges 15% simple interest and the other that charges 10% simple interest. If t

guajiro [1.7K]

9514 1404 393

Answer:

$9,000 at 15%
$4,000 at 10%

Step-by-step explanation:

Let x represent the amount borrowed at 15%. Then the amount borrowed at 10% is (13000-x). The interest at the end of the year is ...

0.15(x) + 0.10(13000 -x) = 1750

0.05x = 1750 -1300 . . . . . . . . . . . . simplify, subtract 1300

x = 450(20) = 9000 . . . . . . . . . . multiply by 20

$9,000 was borrowed at 15%; $4,000 was borrowed at 10%.

5 0

3 years ago

Required information An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiv

Natasha2012 [34]

Answer:

$652.6-2.01\frac{311.7}{\sqrt{50}}=563.997$

$652.6+2.01\frac{311.7}{\sqrt{50}}=741.203$

So on this case the 95% confidence interval would be given by (563.997;741.203)

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".

$\bar X=652.6$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=311.7 represent the sample standard deviation

n=50 represent the sample size

Soltuion to the problem

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

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

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

$df=n-1=50-1=49$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,49)".And we see that $t_{\alpha/2}=2.01$

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

$652.6-2.01\frac{311.7}{\sqrt{50}}=563.997$

$652.6+2.01\frac{311.7}{\sqrt{50}}=741.203$

So on this case the 95% confidence interval would be given by (563.997;741.203)

6 0

3 years ago

Which number is less than 22,874?

monitta

Answer:

A. 2.18 × 10^4

Step-by-step explanation:

2.18 × 10^4

10^4 = 10000

2.18 × 10000 = 21800 which is less than 22874

3 0

3 years ago

I'm confused about how to find x.

NikAS [45]

Hi! so you would find x by adding the corners up to 180 degrees.

steps:
Add the corners
90+(2x+1)+(5x+5)
7x+96=180
then subtract 96 from 180
you’d get 7x = 84
then divide 7 on both sides and get x=12

7 0

3 years ago

6. A coupon offers $1.00 off the 16-ounce size. Which size is the better<br><br> buy then?

svlad2 [7]

Answer:

Both sizes are better because they cost Same.

Step-by-step explanation:

Consider the provided information.

A coupon offers $1.00 off the 16

Quantity Price

Pint 16 $3.98

Quart 32 $5.98

If he gets $1 off for the 16-ounce size. The price will be:

3.98-1=2.98

He needs to pay $2.98 for 16-ounce pint.

Now find which one is better by calculating the unit rate.

$\frac{Cost}{weight}=\frac{2.98 }{16}\approx0.186$

Therefore, the cost of 1lb would be $0.186

For Quart 32 find the unit rate as shown:

$\frac{Cost}{weight}=\frac{5.98}{32}\approx0.186$

Therefore, the cost of 1lb would be $0.186

Hence, both of the size are better as the unit rate is same.

4 0

4 years ago