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Harlamova29_29 [7]
3 years ago
7

Every year ethan earns 38,428 each year he spends 21,728 how much should he have left over

Mathematics
1 answer:
frutty [35]3 years ago
3 0
<h3>♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫</h3>

➷ You have to subtract the values:

38,428 - 21,728 = 16,700

He should have $16,700 (you can change the currency symbol if required)

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

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I have attached the problem in a picture below!​
lesantik [10]

Answer:

A. The solution set is x = 5 or -7

Step-by-step explanation:

\sqrt[4]{ {x}^{2} + 2x }  =  \sqrt[4]{35}  \\ {({x}^{2} + 2x) }^{ \frac{1}{4} }  =  {(35)}^{ \frac{1}{4} }  \\ {x}^{ \frac{1}{2} } + {2x}^{ \frac{1}{4} }   =  {35}^{ \frac{1}{4} }  \\   {x}^{2}  + 2x = 35 \\  {x}^{2}  + 2x  -  35 = 0 \\ (x - 5)(x + 7) = 0 \\ x = 5  \: or \:  - 7

Therefore, the answer is A. as the solution is x = 5 or -7

4 0
1 year ago
Write an equality that represents the phrase "the sum of 4 and x is greater than 6." Draw a graph that represents the inequality
Romashka [77]

Answer:

(4+x)>6

See "the sum of 4 and x" means '4+x' and "greater than 6" means the other number ,aka x which equals 4+x, is greater than six. So, the answer comes out to be (4+x)>6.

3 0
3 years ago
Please explain a 2 column proof
Anna [14]

Answer:

2 column proof is a logical argument consisting of statements and the reasons to show why those statememts are true.

Step-by-step explanation:

7 0
3 years ago
If (-2,4) are the coordinates of a point on the line whose equation is y=Mx+1 , what is the slope of the line?
horrorfan [7]

Slope of the line is -3/2

Step-by-step explanation:

  • Step 1: Given that (-2, 4) is a point on the line y = mx + 1, find slope m.

Since the point is on the line, the coordinates will satisfy the equation.

⇒ 4 = m × -2 + 1

⇒ 4 = -2m + 1

⇒ 3 = -2m

∴ m = -3/2

5 0
3 years ago
There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters tha
uranmaximum [27]

Answer:

0.6826 = 68.26% probability that the first machine produces an acceptable cork.

0.933 = 93.3% probability that the second machine produces an acceptable cork.

The second machine is more likely to produce an acceptable cork.

Step-by-step explanation:

When the distribution is normal, we use 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.

What is the probability that the first machine produces an acceptable cork?

The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm, which means that \mu = 3, \sigma = 0.1

Acceptable between 2.9 and 3.1, which means that this probability is the pvalue of Z when X = 3.1 subtracted by the pvalue of Z when X = 2.9.

X = 3.1

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

Z = \frac{3.1 - 3}{0.1}

Z = 1

Z = 1 has a pvalue of 0.8413

X = 2.9

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

Z = \frac{2.9 - 3}{0.1}

Z = -1

Z = -1 has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability that the first machine produces an acceptable cork.

What is the probability that the second machine produces an acceptable cork? (Round your answer to four decimal places.)

For the second machine, we have that \mu = 3.04, \sigma = 0.04. Same probability we have to find out. So

X = 3.1

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

Z = \frac{3.1 - 3.04}{0.04}

Z = 1.5

Z = 1.5 has a pvalue of 0.9332

X = 2.9

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

Z = \frac{2.9 - 3.04}{0.04}

Z = -3.5

Z = -3.5 has a pvalue of 0.0002

0.9332 - 0.0002 = 0.933

0.933 = 93.3% probability that the second machine produces an acceptable cork.

Which machine is more likely to produce an acceptable cork?

Second one has a higer probability, so it is more likely to produce an acceptable cork.

6 0
3 years ago
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