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4 years ago

How do i solve this problem? Y=100+50x

Mathematics

1 answer:

gogolik [260]4 years ago

7 0

Answer:

Step-by-step explanation:

to solve this you would subtract 100 from each side :

Y = 100+50x

-100 -100

-100= 50x

then you would divide each side by 50 to get 'x'

-100/50=50x/50

-2 = x

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A pair of equations is shown below.

Ivenika [448]

Answer:

(2,3)

Step-by-step explanation:

desmos is a great graphing app if you ever have another question like that you can put the equations in and see the graphs inputs.

5 0

3 years ago

Solve the equation. Round to the nearest hundredth. Show work.

Elis [28]

Answer:

The value of x = 0.41

Step-by-step explanation:

∵ $6e^{2x}-5e^{x}=6$

Let $e^{x}=y$

∴ $e^{2x}=y^{2}$

∴ 6y² - 5y = 6

∴ 6y² - 5y - 6 = 0 ⇒ factorize

∴ (3y + 2)(2y - 3) = 0

∴ 3y + 2 = 0 ⇒ 3y = -2 ⇒ y = -2/3

∴ 2y - 3 = 0 ⇒ 2y = 3 ⇒ y = 3/2

∵ $y=e^{x}$

∴ $e^{x}=\frac{-2}{3}$ ⇒ refused

( $e^{ax}$ never gives -ve values)

∵ $e^{x}=3/2$ ⇒ insert ln in both sides

∵ $lne^{ax}=axlne=ax$ ⇒ ln(e) = 1

∴ $xlne=ln(3/2)$

∴ x = ln(3/2) = 0.41

6 0

4 years ago

JT bisects AJH and the measure of MJT is four times that of TJH. If the measures of MJT is 120 find the measure of MJA.

Ann [662]

MJH = 120

Let TJH = x

You’re told MJT is 4 times TJH

So you have 4x + x = 120

Simplify: 5x = 120

Divide both sides by 5:

X = 24

TJH = x = 24 degrees.

JT is a bisector so both TJH and TJA are the same. So TJA is also 24 degrees

So MJA = 120 - 24 - 24 = 72

MJA = 72 degrees

6 0

3 years ago

Read 2 more answers

Suppose 46% of politicians are lawyers. If a random sample of size 662 is selected, what is the probability that the proportion

Svet_ta [14]

Answer:

0.9606 = 96.06% probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%

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 normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes 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.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Suppose 46% of politicians are lawyers.

This means that $p = 0.46$

Sample of size 662

This means that $n = 662$

Mean and standard deviation:

$\mu = p = 0.46$

$s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.46*0.54}{662}} = 0.0194$

What is the probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%?

p-value of Z when X = 0.46 + 0.04 = 0.5 subtracted by the p-value of Z when X = 0.46 - 0.04 = 0.42. So

X = 0.5

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

By the Central Limit Theorem

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

$Z = \frac{0.5 - 0.46}{0.0194}$

$Z = 2.06$

$Z = 2.06$ has a p-value of 0.9803

X = 0.42

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

$Z = \frac{0.42 - 0.46}{0.0194}$

$Z = -2.06$

$Z = -2.06$ has a p-value of 0.0197

0.9803 - 0.0197 = 0.9606

0.9606 = 96.06% probability that the proportion of politicians who are lawyers will differ from the total politicians proportion by less than 4%

8 0

3 years ago

CAN I GET SOMEONES HELP ASAP!!

PIT_PIT [208]

The answer would be <QRZ

Since you are looking for an angle congruent to <UQR using the alternate interior angles theorem, interior suggests that the angle must be inside the parallel lines, se we can get rid of options <WRT and <TRZ since they are exterior angles

Furthermore, in the alternate interior angles theorem, the two angles must be alternate or opposite of each other which would show that the only possible answer would be <QRZ

hope this helped!

7 0

3 years ago