According to the Bureau of Labor Statistics, in May 2014 the mean hourly wage of a social worker was $28.08 with a standard deviation of $1.97. Jeronica is a social worker with an hourly wage of $31.60. What is Jeronica’s z-score? (Round your answer to TWO decimal places.)

Answers

Answer 1

Answer: 1.79

Explanation:

Let x = hourly wage for a social worker. Then, the z-score for x is given by

[tex]\text{z - score} = \frac{x - \mu}{\sigma} [/tex]

where

[tex]\mu = \text{ mean hourly wage of a social worker }= \$ 28.08 \\ \sigma = \text{ standard deviation of the wage of the social worker }= \$ 1.97[/tex]

Since Jeronica's salary is $31.60, the z-score of Jeronica's is given by

[tex]\text{z - score} = \frac{x - \mu}{\sigma} \\ \\ \text{z - score} = \frac{31.60 - 28.08}{1.97} \\ \\ \boxed{\text{z - score} = 1.79}[/tex]

Related Questions

Four players scored all of the points for their team in a basketball game. Player A scored 3535 of the points, Player B scored 8%8%, Player C scored 0.150.15, and Player D scored 17/100
Which choice lists the players in order from least to greatest based on the number of points they scored?

Answers

To make this easier, I will put a table that doesn't have repeat number
Player A scored 35
Player B scored 8%
Player C scored 0.15 = 15%
Player D scored 17/100 = 17%

Beside player A, all of the player scores can be represented as percent or ratio. The percentage of player A point would be: 100%- 8%- 15%- 17%= 60%.
Then, the order from least to greatest based on the scores would be:
Player B, Player C, Player D, Player A

Label the terms in the expression as constant, linear, and quadratic. 4x2 + 3x - 6

Answers

4x^2=quadratic
3x=linear
-6=constant

How much fruit juice (100%) is equivalent to 1 cup of fresh fruit?
a. 1/4 cup
b. 1 cup
c. 1 1/2 cups
d. 2 cups
e. 1/2 cup?

Answers

b. 1 cup
beacuse i had that question before a got it right

1 cup of fruit juice is equivalent to 1 cup of fresh fruit.

Option B is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1 cup of fresh juice.

Fresh juice and 1 cup of fresh fruit are the same.

So,

Fresh juice = 1 cup

Thus,

1 cup of fruit juice is equivalent to 1 cup of fresh fruit.

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Lucy rode her bike around the block 4 times for a total of 1 mile yesterday. Today she wants to ride her bike 3/4 of a mile. how many times will she need to ride her bike around the block

Answers

4 times = 1 mile
1 time = 1/4 of a mile
She wants to ride 3/4 of a mile
3/4 is 3 times 1/4

She has to ride her bike 3 times around the track
3 times <<<<<===== answer

Final answer:

Lucy will need to ride around the block 3 times today to cover 3/4 of a mile, as each lap around the block is 0.25 miles long.

Explanation:

Lucy rode her bike around the block and covered a total distance of 1 mile by doing so 4 times. Each lap around the block is therefore 0.25 miles long (1 mile ÷ 4 laps = 0.25 miles per lap). To cover 3/4 of a mile, Lucy needs to complete three laps (3/4 of a mile ÷ 0.25 miles per lap = 3 laps). This is because 3/4 divided by 1/4 (which is the distance of one lap) equals 3. Hence, Lucy will need to ride around the block 3 times today to cover 3/4 of a mile.

In international morse code, each letter in the alphabet is symbolized by a series of dots and dashes: the letter a, for example, is encoded as "· –". what is the min- imum number of dots and/or dashes needed to represent any letter in the english alphabet?

Answers

Final answer:

The minimum number of dots and/or dashes needed to represent any letter in the English alphabet in Morse code is one. The letters 'E' and 'T' each use one symbol, dot and dash respectively.

Explanation:

In International Morse code, each letter in the English alphabet is represented by a unique combination of dots and dashes. In regards to your question - the minimum number of dots and/or dashes needed to represent any letter in the English alphabet is one. The English letters 'E' and 'T' are represented by the single symbols "." (dot for 'E') and "-" (dash for 'T') respectively. Hence, this is the minimum for symbolizing any letter.

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According to the Rational Root Theorem, the following are potential roots of f(x) = 60x2 – 57x – 18. Which is an actual root of f(x)? , 3 6, -1/4,-6/5

Answers

Answer:

the answer is -1/4

Step-by-step explanation:

Final answer:

The actual root of the polynomial f(x) = 60x²– 57x – 18 among the given options is -6/5.

Explanation:

According to the Rational Root Theorem, possible roots of the polynomial equation f(x) = 60x² − 57x − 18 are the factors of the constant term (−18) divided by the factors of the leading coefficient (60). The roots could be ±1/60, ±1/30, ±1/20, ±1/15, ±1/12, ±1/10, ±1/6, ±1/5, ±1/4, ±1/3, ±1/2, ±1, ±2/5, ±3/5, ±6/5, ±9/5, ±18/5, ±2, ±3, ±6, ±9, ±18.

To determine which of the given options are actual roots of the polynomial, we substitute each value into the polynomial and check if it returns a value of zero:

Substituting x = 3 into f(x) gives 60(3)² − 57(3) − 18 = 540 − 171 − 18 = 351, which is not zero.

Substituting x = 6 into f(x) gives 60(6)² − 57(6) − 18 = 2160 − 342 − 18 = 1800, which is not zero.

Substituting x = −1/4 into f(x) gives 60(−1/4)² − 57(−1/4) − 18 = 15 − −14.25 − 18 = 11.25, which is not zero.

Substituting x = −6/5 into f(x) gives 60(−6/5)² − 57(−6/5) − 18 = 86.4 − −68.4 − 18 = 0, which is zero. Therefore, −6/5 is an actual root of the equation.

Thus, the actual root among the given options is −6/5.

[tex]3(6 - 4y) - 2y > 5y - 153[/tex]

Answers

Solve for Y: y < 9

I don't know if you want me to solve for Y or not

Natasha ran 3.1 kilometers. Tonya ran 4 meters more than half as far as Natasha. How many meters did Tonya run?

Answers

Answer: 1554

It is correct from the math answer keys

Tonya run 1,554 meters.

Define distance ?

"Distance is the total path travelled by an object without considering the direction. "

Value used

1kilometer = 1000meters

According to the question,

Let x represents distance run by Tonya

Natasha ran = 3.1 kilometers

= 3100 meters

Therefore,

x = (3100 / 2) + 4

⇒ x = 1554 meters

Hence, Tonya run 1,554 meters.

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Which net matches the figure

Answers

You forgot to load the picture...

Please post a picture of the net

Twenty-one people in a room have an average height of 5 feet 6 inches. a 22nd person enters the room. how tall would he have to be to raise the average height by 1 inch?

Answers

The person would need to be 22 inches taller than the average, that is, 7 ft 4 inches tall.

Final answer:

To raise the average height by 1 inch, the 22nd person would have to be 88 inches tall.

Explanation:

To find how tall the 22nd person would have to be in order to raise the average height by 1 inch, we can use the concept of average. Currently, there are 21 people with an average height of 5 feet 6 inches. This means that the total height of all 21 people combined is 5 feet 6 inches multiplied by 21.

If we want to raise the average height by 1 inch, we need to add a certain amount of height to the total height of all the people in the room. Let's call this additional height 'x'. So the new total height would be the previous total height plus 'x'.

Since the total number of people in the room will become 22, the new average height will be the new total height divided by 22. We can set up an equation to solve for 'x':

5 feet 6 inches multiplied by 21 plus 'x' divided by 22 equals 5 feet 6 inches plus 1 inch.

To solve this equation, we can first convert the heights to inches: 5 feet 6 inches is equivalent to 66 inches. Now we can solve the equation:

66 multiplied by 21 plus 'x' divided by 22 equals 67.

Now we can simplify and solve for 'x':

1386 plus 'x' divided by 22 equals 67.

1386 plus 'x' equals 67 multiplied by 22.

1386 plus 'x' equals 1474.

Subtracting 1386 from both sides, we get 'x' equals 1474 minus 1386, which is 88 inches. Therefore, the 22nd person would have to be 88 inches tall to raise the average height by 1 inch.

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Convert the angle 0(theta) =133pi/72 radians to degrees. can someone explain this to me step by step please?

Answers

well, if you look at your Unit Circle, as you should have one already, we know that 180 degrees is really π radians.

now, if 180 degree is π radians, how many degrees is it on 133π/72?

[tex]\bf \begin{array}{ccll} de grees&radians\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 180&\pi \\\\ d&\frac{133\pi }{72} \end{array}\implies \cfrac{180}{d}=\cfrac{\pi }{\frac{133\pi }{72}}\implies \cfrac{180}{d}=\cfrac{\frac{\pi }{1}}{\frac{133\pi }{72}} \\\\\\ \cfrac{180}{d}=\cfrac{\pi }{1}\cdot \cfrac{72}{133\pi }\implies \cfrac{180}{d}=\cfrac{72}{133}\implies \cfrac{180\cdot 133}{72}=d\\\\\\ 332.5^o=d[/tex]

The angle θ = 133π/72 radians is equivalent to 332.5° degrees.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

To convert radians to degrees, use the following formula:

Angle in degrees = angle in radians × 180°/π

Here's how to apply this formula to the given angle:

θ= 133π/72 radians

θ in degrees = (133π/72) × 180°/π

θ in degrees = (133/72) × 180

θ in degrees = 332.5°

Therefore, the angle θ = 133π/72 radians is equivalent to 332.5° degrees.

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The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence? 14/13 25/7 4

Answers

[tex]a_1=-3 \\ a_{15}=53 \\ \\ d= \frac{53-(-3)}{15-1}= \frac{56}{14}=4[/tex]

The answer is d=4

Answer:

The common difference of the arithmetic sequence is:

Step-by-step explanation:

We kn ow that if the first term of an arithmetic sequence is a and d is the common difference of the sequence then the nth term of the sequence is given by the formula:

[tex]a_n=a+(n-1)d[/tex]

Here we are given:

[tex]a=-3[/tex]

and

[tex]a_15=53\\\\i.e.\\\\a+(15-1)d=53\\\\i.e.\\\\a+14d=53[/tex]

Now using the value of a we have:

[tex]-3+14d=53\\\\i.e.\\\\14d=56\\\\i.e.\\\\d=4[/tex]

According to an automobile association of america report, 9.6% of americans traveled by car over the 2011 memorial day weekend and 88.09% stayed home. what is the probability that a randomly selected american stayed home or traveled by car over the 2011 memorial day weekend? p(stayed home or travelled by car)=

Answers

p(traveled by car)=9.6%
p(stayed home)=88.09%

p(stayed home or travelled by car)=p(stayed home)+p(traveled by car)-p(stayed home and traveled by car)

p(stayed home and traveled by car)=0%

p(stayed home or travelled by car)=88.09%+9.6%-0%
p(stayed home or travelled by car)=97.69%

Answer:

First Part: 0.9769

Second Part: Some Americans may have traveled by other means

Step-by-step explanation:

First Part: You add 9.6 to 88.09 and put it in decimal form.

Second Part: Some Americans may have traveled by other means.

Write three measurments using grams and three measurements using milligrams total 15.4 grams

Answers

2+3+10 g +1+1+2mg =15.4 grams

Judah collects toy cars.He buys his cars in packs of 12,18 and 24.He wants to arrange them in rows but all the rows have to be an equal amount of cars.What is the total amount of cars in rows that he can arrange his cars in

Answers

For this case what we can do first is to take an average of the number of cars.
We have then:
P = (12 + 18 + 24) / (3)
P = 18
In other words, you can organize your cars in rows of 3 where each row will have 18 cars.
Answer:
three rows, 18 cars per row.

how many positive integers under 50 are multiples of neither 4 nor 6

Answers

Candidates range from 1 to 50.
50/4=12 positive integers are multiples of 4
50/6=8 positive integers are multiples of 6
50/12=4 positive integers are multiples of 12 (LCM of 4 and 6)
By the inclusion/exclusion principle, the number of multiples of either 4 or 6 is equal to 12+8-4=16.

Therefore, the complement is the number of positive integers that are multiples of neither 4 nor 6 = 50-16=34.

Find the difference 51/4 - 2 3/4

Answers

difference means to minus

5 1/4 - 2 3/4 =

[since 1/4 cannot minus 3/4, we need to convert one of the 5 wholes into quarters: 5 1/4 = 4 5/4 ]

5 1/4 - 2 3/4
= 4 5/4 - 2 3/4
= 2 2/4
= 2 1/2

42 customers increased by 50%. How do I find the new amount?

Answers

Since it increasing by half the amount as there already is, you would do 42/2=21
Then do 21+42=63
63 is the new amount
Also plzzzzzzzzz mark this the brainliest answer tyy

Please help me figure this out !!?

Answers

Tangent ∠ = opposite / adjacent
Tan (D) = 24/7 (Answer)

Answer:
sin D = 24/25
tan D = 24/7
sin E = 7/25

Explanation:
Since the given triangle is a right-angled triangle, the special trigonometric identities can be applied.
These identities are as follows:
sin Θ = opposite / hypotenuse
cos Θ = adjacent / hypotenuse
tan Θ = opposite / adjacent

In the given right-angled triangle, using Pythagorean theorem:
hypotenuse = sqrt(7^2 + 24^2) = 25

For angle D:
sin D = opposite / hypotenuse = 24/25
cos D = adjacent / hypotenuse = 7/25
tan D = opposite / adjacent = 24/7

For angle E:
sin E = opposite / hypotenuse = 7/25
cos E = adjacent / hypotenuse = 24/25
tan E = opposite / adjacent = 7/24

Hope this helps :)

A 25 ft ladder is placed 7 feet from the wall. How high up the wall will the ladder reach?
A.18ft
B.20ft
C.22ft
D.24ft

Answers

You set this up using Pythagorean theorem (A^2 + B^2 = C^2)
When setting up the right triangle, the problem says the ladder is placed 7 feet away, which would be the bottom of the triangle, and would be your A or B value, the ladder is leaning and is a total of 25 feet, meaning 25 is your hypotenuse and is your c value.
Then you're at A^2 +7^2 = 25^2
Square all of the integers, giving you A^2 +49 =625, then subtract 49 from each side leaving you with A^2 = 576, square root each side (√A^2 = √576)
Which will leave you at A = 24.

The 24 feet high up the ladder will reach to the wall if the ladder height is 25 feet and is placed 7 feet from the wall.

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We have:

Length of the ladder = 7 feet

The distance between the wall bottom end to ladder bottom end = 7 feet

As we can see in the diagram the ladder and wall making a right angle triangle ABC in which

AC = 25 feet

BC = 7 feet

Let's suppose the length of the wall is h feet

AB = h feet

From the Pythagoras theorem:

AC² = AB² + BC²

Put the values of AC and BC, we get

25² = h² + 7²

625 = h² + 49

625 - 49 = h² (subtract by 49 on both sides)

576 = h²

h = 24 feet (taking square root on both sides)

Thus, the 24 feet high up the ladder will reach to the wall.

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Estimate how many pennies would you have to stack to reach from the floor to an average 8-ft ceiling.

Answers

The thickness of a US penny is reported to be 0.0598 inches.

Then a stack 8 ft high will require
.. (96 in)/(0.0598 in) ≈ 1605 . . . pennies

_____
Perhaps a few more if they are worn.

To reach an 8-foot ceiling, you would need to stack approximately 1600 pennies. This is calculated by dividing the ceiling height in inches (96 inches) by the thickness of a penny, which is around 0.06 inches, and rounding to the nearest whole number.

To solve this problem, we need to understand that a penny is approximately 0.0598 inches thick. Since there are 12 inches in a foot, an 8-foot ceiling would be 96 inches tall. Therefore, to stack pennies from the floor to an 8-foot ceiling, you would divide 96 (the total inches of the ceiling height) by 0.0598 (the thickness of one penny).

Let's round 0.0598 inches to 0.06 inches for ease of computation. When we divide 96 by 0.06, we get approximately 1600 pennies. So, it would take roughly 1600 pennies to stack from the floor to an 8-foot ceiling.

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Rename 1/4 and 5/8 using the least common denominator.

Answers

The least common denominator of 1/4 and 5/8 is 8.

1 * 2 = 2
4 * 2 = 8
1/4 = 2/8

5/8 stays the same.

So, 1/4 = 2/8 and 5/8 = 5/8.

The required solution is 8.

It is required to find the least common denominator.

What is least common multiple?

The smallest common multiple of two or more numbers and the common multiple of lowest degree of two or more polynomials.

Given:

Multiply 4 times 2 to get 8, then multiply 1 times 4 for the numerator of the first fraction .

1/4=1*2/4*2=4/8

5/8=5*1/8*1=5/8

The least common denominator of 1/4 and 5/8 is 8.

Therefore, the required solution is 8.

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What symbol is used to identify the standard error of m??

Answers

The correct answer is: [tex]\sigma_M[/tex]

Explanation:
σ is a Greek letter, which is called a lowercase sigma. In order to express the standard error of m in an equation, we use σ_M. For example, the formula of the standard error of mean is given as follows:

[tex]\sigma_M = \frac{\sigma}{ \sqrt{N} } [/tex]

Where, N = sample size
σ = standard deviation

If you earn 30K a year and are taxed 10% what's your gross income and net income

Answers

we have that

Gross income ---------------- > is the amount before taxes---------> $30000

Net income-------> is how much money you earn in a year after taxes and other deductions
Net income=[Gross income]-[Gross income*taxes]
taxes=10%=0.10
Net income=$30000-[$30000*0.10]=$27000

the answer is
Gross income=$30000
Net income=$27000

Prove that the expression 2x(x–6)–3(x2–4x+1) is negative for all values of x.

Answers

Simplify the following:
2 x (x - 6) - 3 (x^2 - 4 x + 1)

2 x (x - 6) = 2 x^2 - 12 x:
2 x^2 - 12 x - 3 (x^2 - 4 x + 1)

-3 (x^2 - 4 x + 1) = -3 x^2 + 12 x - 3:
-3 x^2 + 12 x - 3 + 2 x^2 - 12 x

Grouping like terms, 2 x^2 - 3 x^2 + 12 x - 12 x - 3 = (2 x^2 - 3 x^2) - 3 + (-12 x + 12 x):
(2 x^2 - 3 x^2) - 3 + (-12 x + 12 x)

2 x^2 - 3 x^2 = -x^2:
-x^2 - 3 + (-12 x + 12 x)

12 x - 12 x = 0:
-x^2 - 3

Factor -1 out of -x^2 - 3:
Answer: -(x^2 + 3)

how ling it will take for an investment of 1950to accumulate to 2129.55at 6.5%pa simple interest

Answers

[tex]\bf ~~~~~~ \textit{Simple Interest Earned Amount}\\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\to &2129.55\\ P=\textit{original amount deposited}\to& \$1950\\ r=rate\to 6.5\%\to \frac{6.5}{100}\to &0.065\\ t=years \end{cases} \\\\\\ 2129.55=1950(1+0.065t)\implies \cfrac{2129.55}{1950}=1+0.065t \\\\\\ \cfrac{2129.55}{1950}-1=0.065t\implies \cfrac{\frac{2129.55}{1950}-1}{0.065}=t[/tex]

[1] seven conference calls are scheduled this morning between 10 and 11
a.m. [2] as a general rule, the company limits the number of conference calls to three per hour. [3] in the future, we should be more careful about scheduling calls. which sentence contains a flabby expression

Answers

The sentence that contains a flabby expression is sentence [2]. The sentence starts with the phrase, "As a general rule", which is a flabby expression. It would have been more concise to use the word "Generally". So, the sentence should have been written as, "Generally, the company limits the number of conference calls to three per hour."

Final answer:

The flabby expression is found in the sentence 'In the future, we should be more careful about scheduling calls,' which can be more concisely stated as 'In the future, we should schedule calls more carefully.'

Explanation:

The sentence that contains a flabby expression is: "In the future, we should be more careful about scheduling calls."

Flabby expressions are phrases or sentences that are wordy and can be expressed more concisely without losing their meaning. The sentence could be more directly stated as "In the future, we should schedule calls more carefully." By removing unnecessary words, the sentence becomes clearer and more to the point. Flabby expressions are usually considered poor writing style because they can make sentences needlessly long and obscure the main point.

Amma hikes 2and3/4 miles of nature trail in 1 hour and 15 minutes. How many miles does Amman hike per hour?

Answers

Formula
====
d = r * t

Givens
======
d = 2 3/4
t = 1 hour 15 minutes
r = ????

Calculations
==========
You need to convert the 15 minutes to hours.
1 hour = 60 minutes
x hour = 15 minutes

1/60 = x/15
x = 15/60
x = 0.25 hours
so the time = 1 hours + 0.25 hours
t = 1.25 hours

Now you need to do something with the distance.
3/4 mile = 0.75 of a mile
So the distance = 2 + 0.75 = 2.75 miles

Now you are ready for the answer.
d = r * t you are looking for r
2.75 = r * 1.25
r = 2.75/1.25
r = 2.2 miles / hour

Note you could do this with fractions.
2 3/4 = 11/4
1 1/4 = 5/4

r = 11/4 // 5/4 =11/5 = 2 1/5 which is the same thing as 2.2. If your calculator can handle fractions (those kind of calculators cost about 10 dollars in Canada. It should be 8 in the US) that might be the way to do this problem.

I'm barely on question 13 out of 25, need to speed up can someone help out

Answers

Hey hey hey!!

The answer to ur question is B. 3 and 20.

Good luck
let me know if it correct:)

~ TRUE BOSS

QUICKK EXPERTS/ACE/GENIUSES
( question #2 )

Answers

180 - 90 -18 = 72

Answer is D 72 degrees

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