Jackle works as a server at a local restaurant. She makes $8 per hour. She worked 34 hours last week. She made $250 in tips. What was her gross pay?

Answer:

0.1350 = 13.50% probability that an 18-year-old man selected at random is between 68 and 70 inches tall

Step-by-step explanation:

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

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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.

In this question, we have that:

[tex]\mu = 69, \sigma = 6[/tex]

What is the probability that an 18-year-old man selected at random is between 68 and 70 inches tall?

This is the pvalue of Z when X = 70 subtracted by the pvalue of Z when X = 68. So

X = 70

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{70 - 69}{6}[/tex]

[tex]Z = 0.17[/tex]

[tex]Z = 0.17[/tex] has a pvalue of 0.5675

X = 68

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{68 - 69}{6}[/tex]

[tex]Z = -0.17[/tex]

[tex]Z = -0.17[/tex] has a pvalue of 0.4325

0.5675 - 0.4325 = 0.1350

0.1350 = 13.50% probability that an 18-year-old man selected at random is between 68 and 70 inches tall

If this is the full question; What are the potential solutions to the equation below? 2In(x+3)=0

then the answer is; 2ln(x + 3) = 0

ln[(x + 3)²] = 0      

(x + 3)² = 1

x + 3 = ±√1

x + 3 = ±1

x = 1 - 3, -1 - 3

x = -2, -1 - 3

x = -2, -4

when checking solution; x = -4 in the original equation does not hold true. so you drop x = -4 from the solution set.

therefore;

x = -2

hope this helps, God bless!

Answer:

c

Step-by-step explanation:

Given :

Two similar triangles ΔABC and ΔSTU .

To Find :

The value of x.

Solution :

Since, ΔABC and ΔSTU are similar, so ratio of their sides are equal.

[tex]\dfrac{AB}{AC} = \dfrac{SU}{ST}\\\\\dfrac{x}{21}=\dfrac{13}{5}\\\\x = \dfrac{21\times 13}{5}\\\\x = 54.6[/tex]

Therefore, value of x is 54.6 .

Step-by-step explanation:

the first option is the correct answer.

Answer:

It is A

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Answer:

111

Step-by-step explanation:

the answer is 111

Answer:

Step-by-step explanatmkjion:

The Correct statements is [tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex].

To determine which statement is true, let's evaluate each statement one by one:

[tex]\sqrt[m]{x} * \sqrt[m]{y} = 2\sqrt[m]{xy}[/tex]

This statement is false. The correct product of two nth roots ([tex]\sqrt[m]{x}[/tex] and [tex]\sqrt[m]{y}[/tex]) is [tex]\sqrt[m]{x*y}[/tex], not 2[tex]\sqrt[m]{x*y}[/tex].

[tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex].

This statement is true. When raising an nth root to a power, you can simply multiply the exponents. So, [tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex]..

[tex]a \sqrt[n]{x}+ b \sqrt[n]{x} = ab \sqrt[n]{x}[/tex]

This statement is false. The correct result of adding two nth roots is not the product of the coefficients. It's simply (a + b) [tex]\sqrt[n]{x}[/tex].

[tex]\sqrt[m]{x} /\sqrt[m]{y} = \sqrt[m]{xy}[/tex]

This statement is false. The correct division of two nth roots ([tex]\sqrt[m]{x}[/tex] divided by [tex]\sqrt[m]{y}[/tex]) is not equal to the product of the roots. The correct division is:

[tex]\sqrt[m]{x} /\sqrt[m]{y} = \sqrt[m]{x/y}[/tex]

So, [tex]\sqrt[m]{x} /\sqrt[m]{y}[/tex] is equal to [tex]\sqrt[m]{x/y}[/tex], not [tex]\sqrt[m]{xy}[/tex].

Correct statements:

[tex](\sqrt[m]{x^a})^b = \sqrt[m]{x^{ab}} \\[/tex]

To know more about coefficients:

https://brainly.com/question/13431100

#SPJ6

Answer:

(x - 6)(x - 4)

Step-by-step explanation:

(x² - 10x + 24)

(x - 6)(x - 4)

The factors are x - 6 and x - 4.

Answer:

Step-by-step explanation:

The missing histogram file is attached in the image below.

From the graph, deduce that:

the servings of fruits and vegetable                     number of students

0                                                                             1

1                                                                             4

2                                                                             5

3                                                                             10

4                                                                             8

5                                                                             3

6                                                                             0

7                                                                             1

Thus, the percentage of students surveyed that eat more than 3 whole servings is:

= starting from 4 = (8+3+0+1)/32 = 0.375

Answer:

Not cool

Step-by-step explanation:

Answer:

(4 , -3)

Step-by-step explanation:

Put "y" by itself on one side to isolate it

3x - y = 15

3x = 15 + y

3x - 15 = y

Substitute "y" in the second equation for "3x - 15"

x + (3x - 15) = 1

4x - 15 = 1

4x = 16

x = 4

Then, plug 4 into x in any of the equations

4 + y = 1

y = -3

(4 , -3)

Answer:Umm you can do ratios if you learned it or you can times it

Step-by-step explanation:

Hope this helps

Answer:

c and a hope this helps

Step-by-step explanation:

Answer:

Hi! The correct answer is x=3!

Step-by-step explanation:

~Isolate the variable by dividing each side by factors that don't contain the variable~

Answer:

x=3

Step-by-step explain

1

Distribute

−3 0 = 5 (