Answer:
$31.63/hr
Step-by-step explanation:
Given parameters:
Yearly salary = $65788
Number hours worked per week = 40hrs
Unknown:
Hourly wage = ?
Solution:
The hourly wage is found by dividing the yearly salary by the total number of hours worked per year.
There are 52 weeks in a year;
Number of hours worked per year = 52 x 40 = 2080hrs
Hourly wage per year = [tex]\frac{65788}{2080}[/tex] = $31.63/hr
the amount of sleep that elementary school children get per night follows a normal distribution with a mean of 9.5 hours and a standard deviation of 0.55 hours. is it unusual for an elementary student to get at least 12 hours of sleep?
Answer:
Yes, that is unusual as the problem is given.
Step-by-step explanation:
If the mean is 9.5 and the standard deviation is 0.55, then anything within the normal curve of 10.05 on the high end and 8.45 on the low end is normal. 12 is more than several standard deviations or an outlier if this makes sense.
So, it is unusual as the problem is stated, but if it's a weekend, 12 hours is normal. LOL
Good luck!
Based on the normal distribution parameters given, the probability of a student getting atleast 12 hours of sleep ls 0. Hence, it is abnormal.
Given the Parameters :
Mean = 9.5 Standard deviation = 0.55Using the Zscore formula, the probability of getting a atleast 12 hours of sleep can be expressed thus :
Zscore = (Score - Mean) / standard deviation
For X ≥ 12 :
Z = (12 - 9.5) / 0.55 = 4.545The probability using a normal distribution table :
P(Z ≥ 4.54) = 1 - P(Z ≤ 4.54)
P(Z ≤ 4.54) = 1 ( normal distribution table)
P(Z ≥ 4.54) = 1 - 1 = 0
Since, the probability is 0 ; hence, it is unlikely and therefore, abnormal.
Learn more :https://brainly.com/question/8165716
Michael is paid by the hour and gets overtime (OT) for every hour over 40.Last week he worked 52 hours. How many hours of OT did he get?*
A. 38
B. 92.
C. 26
D. 12
Answer:
12
Step-by-step explanation:
52 minus 40
a(b + c) = a • b + a • c, where a, b, and c are real numbers
Use the distributive property to simplify the expression.
8(3 + 4) = 24 +
Answer:
a(b + c) = a • b + a • c
=> 8(3 + 4) = 8.3 + 8.4 = 24 + 32
Step-by-step explanation:
Answer:
The answer for the blank is 32
Step-by-step explanation:
How much will you get paid if you work 28.5 hours for $7.75 per hour?
Answer:
you will get $220.87 hope this helps :) .
Robert found a game spinner that was not completely labeled. The spinner is shown at right. Help Robert figure out what fraction of the spinner is missing.
Circle with four unequal sections, labeled: 1 third, blank, 1 sixth, 3 eighths.
Step-by-step explanation:
Where is the image of the spinner shown?
Find two possible next terms of a sequence 2, 8, ____, ____ that is neither geometric nor arithmetic.
9514 1404 393
Answer:
one possible pair of next terms: 0, 1a second possible pair of next terms: 14, 32Step-by-step explanation:
The difference of these numbers is 6, so the next two terms of an arithmetic sequence would be 8+6 = 14, and 14+6 = 20.
The ratio of these numbers is 4, so the next two terms of a geometric sequence would be 8×4 = 32, and 32×4 = 128.
Any pair of numbers can be used that is not (14, 20) or (32, 128).
The next two terms could be 0 and 1, or they could be 14 and 32.
2, 8, 0, 1 . . . is a sequence of no particular type
2, 8, 14, 32 . . . is a sequence of no particular type
Find three consecutive even integers suche
that one half of their sum is between 15
and 21.
9514 1404 393
Answer:
10, 12, 14 and maybe {8, 10, 12} and {12, 14, 16}, depending on the meaning of the question
Step-by-step explanation:
If x is the middle one, then their sum is 3x. You want ...
15 < 3x/2 < 21 . . . . assuming "between 15 and 21" does not include 15 or 21
30 < 3x < 42
10 < x < 14
The only even integer in that range is 12, so the three integers are ...
10, 12, 14 . . . . . half their sum is 18
__
We have used <, rather than ≤ in the above solution. This assumes that "between" does not include the values at the end of the range. If those values are included, then two additional solutions are possible: {8, 10, 12} and {12, 14, 16}. For the first set, the half-sum is 15; for the second set, the half-sum is 21.
Rewrite the rational exponent as a radical
Answer:
C OR D
Step-by-step explanation:
The actual distance between Oaxaca and Guadalajara, Mexico, is 984 kilometers. On a certain map, these two cities are 4 centimeters apartOn the same map, Guanajuato and Tijuana, Mexico, are 10 centimeters apart. What is the actual distance between Guanajuato and Tijuana ?
Answer: 2460 kilometers
Step-by-step explanation:
Actual distance between Oaxaca and Guadalajara = 984 kilometers
Distance between Oaxaca and Guadalajara on a map = 4cm
Distance between Guanajuato and Tijuana on a map = 10cm
The actual distance between Guanajuato and Tijuana will then be:
= 984/4 × 10
= 246 × 10
= 2460 kilometers
Which of these tables represent a nonlinear function?
Answer:
(3)
Step-by-step explanation:
Analise the slope m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
(1). (19-20)/(18-17) = - 1 ; (18-19)/(19-18) = - 1 ; (17-18)/(20-19) = - 1 ⇒ table represents a linear function.
(2). (-17+16)/(18-17) = - 1 ; (-18+17)/(19-18) = - 1 ⇒ table represents a linear function.
(3). (17-16)/(18-17) = 1 ; (19-17)/(19-18) = 2 ⇒ table represents a nonlinear function.
Please help!! I’m stuck on this one haha
Answer:
Ready to help soon as we know what that "one" is
Answer:
hahaha where is the pic
Step-by-step explanation:
Shelly's Boutique had a Labor Day sale featuring 25% off any item. Tammy wanted to buy a blouse that originally sold for $21.99. To the nearest cent, how much will it cost her before tax to buy the blouse during the sale?
Given:
Original price of a blouse = $21.99
Sale = 25% off
To find:
The cost of blouse during the same before tax.
Solution:
Since Shelly's Boutique had a Labor Day sale featuring 25% off any item. It means price of each item in sale is 25% less than the original price.
[tex]\text{Price of blouse during sale}=21.99-25\%\text{ of } 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-\dfrac{25}{100}\times 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-0.25\times 21.99[/tex]
[tex]\text{Price of blouse during sale}=21.99-5.4975[/tex]
[tex]\text{Price of blouse during sale}=16.4925[/tex]
Approximate the value to the nearest cent (2 decimal places).
[tex]\text{Price of blouse during sale}\approx 16.49[/tex]
Therefore, the cost of blouse during sale is $16.49.
Answer:
16.49
Step-by-step explanation:
to increase an amount by 19% multiple by?
Answer:
1.19
Step-by-step explanation:
The original full amount is 100%.
When you increase the full amount by 19%, you add 19% of the full amount to the full amount, so now you have 119%.
To find 119% of an amount, multiply he amount by 1.19 since 119% = 1.19
Answer: 1.19
What is the volume of a cylinder with a diameter of 30 cm and a height of 40 cm? Use 3.14 for pie. Round to the nearest 10th.
Answer:
28,260.0 cm^3
Step-by-step explanation:
The volume of a cylinder uses the equation π[tex]r^{2}[/tex]h.To find the radius, divide the diameter by two, getting r=1/2(30)=15. Plug in all numbers getting:
3.14(15^2)(40)
=3.14(225)(40)
=28260
Answer:
V ≈ 28,260 cm³
Step-by-step explanation:
V = πr²h where,
V = volume
r = radius
h = height
π = 3.14
To find the value of the radius, we take half of the diameter.
1/2(30) = 15
Now that we have all the values, we plug them into the equation and round.
V = (3.14)(15)²(40) = 28,260
V = 28,260
the diagram shows a right-angle triangle.
Answer:
Step-by-step explanation
The shortest length of the right-angled triangle is 4 cm.
What is a right-angle triangle?A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angles is a right angle.
Given is, the diagram shows a right-angle triangle.
We have area of the right-angle triangle = 18 cm²
We know that area of a right-angle triangle = 1/2(base)(height)
18 = 1/2(x - 1)(x + 4)
36 = (x - 1)(x + 4)
x² + 4x - x - 4 = 36
x² + 3x - 4 = 36
x² + 3x - 4 - 36 = 0
x² + 3x - 40 = 0
x² - 5x + 8x - 40 = 0
x(x - 5) + 8(x - 5) = 0
x + 8)(x - 5) = 0
x = -8 or 5
we can only use positive numbers because length can't be negative,
Thus, x = 5
The shortest side is definitely one of the 2 legs. The hypotenuse of a triangle is the longest side.
Therefore,
height = x - 1 = 5 - 1 = 4 cm
base = x + 4 = 5 + 4 = 9 cm
Hence, the shortest length of the right-angled triangle is 4 cm.
learn more on right-angled triangle here:
brainly.com/question/2292567
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Suppose a system of two linear equations has one solution. What must be true about the graphs of the two equations?
They intersect at one point.
They intersect at two points.
They have the same slope.
They have the same y-intercept.
Answer:
They intersect at one point
Step-by-step explanation:
I took the test and got 100%
Answer:
They have to intersect at one point
Step-by-step explanation:
Select the correct answer. Which equation, when solved, gives 8 for the value of x?
The 3rd equation, as if you solve for x as shown, you will end up with equation x=8.
[tex]\frac{5}{4}x-\frac{3}{2}x=-4+2[/tex]
[tex]\frac{5}{4}x-\frac{6}{4}x=-2[/tex]
[tex]-\frac{1}{4}x=-2[/tex]
[tex]x=8[/tex]
write the polynomial in standard form 3-3m+4m^{2} -1/2m^{6}
Answer:
[tex]3-3m+4m^2-\frac{1}{2} m^6[/tex]
Step-by-step explanation:
Please Answer! I have been working on this for an hour and can't get it!
Given A (4,2) and B (-1,y), what is y when the slope of AB is -7/5?
Answer: y= 9
Step-by-step explanation:
WILL GIVE BRAINLIEST
Select all the correct answers.
Which relations represent functions?
Answer:
First and third relations represent functions.
Step-by-step explanation:
First and third relations are one-to-one and many-to-one respectively, therefore these are functions.
Second and fourth relations are one - to - many, thus they are not functions.
Answer:
first and third
Step-by-step explanation: just took the test like 5 secs ago
EASY PLEASE HELP PLEASE HELP 15 POINTS...PLEASE HELP
Answer: its is 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Solve for x.
8(x + 1) - 3(x + 4) = 7(2 - x)
x = 1 1/2
x = -1 1/2
x = 1 1/4
x = -1 1/4
Answer:
A. x = 1 1/2
Step-by-step explanation:
Answer:
A. x = 1 1/2
Step-by-step explanation:
PLZZZZ HELP!!! what is y = 2/3x - 6 in standard form
Answer:
2
x
−
3
y
=
18
Step-by-step explanation:
Hope I helped
The manager of a garden store decides to hold a Buy 3, Get 1 Free sale on vegetable plants. The sale is held for one week and a total of 636
vegetable plants were sold (not including the ones given away for free). If each plant cost the store $2.90, how much money did the store lose
by giving away the free plants?
Answer:
the shop lost $922.20 by giving away free vegetable plants.
Step-by-step explanation:
you would start by dividing 636 by two to see how many free vegetable plants were given away.
636 / 2 = 318
this shows us how many free vegetable plants were given for free, so then to find how much money the store lost giving them away for free, you would multiply 318 by 2.9
318 x 2.9 = 922.2
Therefore the shop lost $922.20 by giving away free vegetable plants.
please help me in math
The cake store is having a 25 percent off sale on all of its cakes. If the cake you want reguarly cost 9$, how much would you save with the discount?
The league raised $1,560 through fundraisers. Trenton estimates the cost of buying jackets for each player in the league. He concludes that the league has raised enough money. Do you agree with Trenton? Explain.
Answer:
Step-by-step explanation:
Estimates are rough guesses based on current or previous prices. Therefore, it is impossible to conclude whether or not Trenton has actually raised enough money, especially if no actual price for the jackets has been provided. That being said an estimation is usually a close enough representation of the actual value, which would mean that the chances of having raised enough money (if that is what the estimates say) are pretty high.
Anyone know da answer?
solve the equation:
6= k/9
k=
PLSSSSSSSSSSSSSSSSSS HELP MEEEE
SAMB DOGRUS
4(2x-1)+3(2x+5)
4(2x - 1) + 3(2x+5)
Answer:
14x + 1
Step-by-step explanation:
4(2x-1)+3(2x+5) = 2x*4 - 1*4 + 2x*3 + 5*3
= 8x - 4 + 6x + 5
= 8x + 6x -4 + 5 {Combine like terms}
= 14x + 1