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s344n2d4d5 [400]
4 years ago
6

A locksmith worked 32 hours and earned $480, which included some compensation for paid time off. If his true hourly wage is $2 p

er hour more than the pay rate shown on his pay stub, what rate is shown on his pay stub?
A. $15 per hour
B. $16 per hour
C. $17 per hour
D. $13 per hour
Mathematics
2 answers:
Sphinxa [80]4 years ago
4 0
Answer is D. $13 per hour. You would divide $480 by 32, ending with $15. Subtract $2 from that, you will get $13.
Hope this works for you!
Gwar [14]4 years ago
3 0

Answer:    

The correct option is D. $13 per hour

Step-by-step explanation:

Let his pay stub wage per hour be $x

So, his true wage per hour be $(x + 2)

Now, he worked for 32 hours and earned $480

According to true wage : his income per hour is given by

⇒ (x + 2) × 32 = 480

⇒ x + 2 = 15

⇒ x = 13

Hence, Rate shown on his pay stub = $13 per hour

Therefore, The correct option is D. $13 per hour

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 449 gram setting. It is
stealth61 [152]

Answer:

We accetp  H₀

Step-by-step explanation:

Information:

Normal distribution  

Population mean      =   μ₀  = 449

Population standard deviation  σ   unknown

Sample size   n  =  23        n < 30    we use t-student test

so   n  =  23    degree of fredom   df = n  - 1  df  = 23- 1   df = 22

Sample mean    μ =  448

Sample standard deviation   s  =  20

Significance level  α  =  0,05  

1.-Hypothesis Test

Null hypothesis                               H₀     μ₀  =  449

Alternative hypothesis                    Hₐ     μ₀  ≠  449

Problem statement ask for determine decision rule for rejecting the null hypothesis. For rejecting the null hypothesis we have to  get an statistic parameter wich implies  that μ is bigger or smaller than μ₀

2.-Significance level   α  =  0,05  ;  as we have a two tail test

α/2    =  0,025

Then from t - student table for  df =  22   and 0,025 (two tail-test)

t(c)  =  ±  2.074

3.- Compute  t(s)

t(s)   =  (  μ  -  μ₀ )  /  s /√n

plugging in values

t(s)   =  (448  -  449) /  20 /√23    ⇒   t(s)   =  -  1*√23 /20

t(s)   =  - 0.2398

4.-Compare t(c)   and  t(s)

t(s)  <  t(c)         - 0.2398  <  - 2.074

Therefore  t(s)  in inside acceptance region.  We accept  H₀

7 0
4 years ago
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ivolga24 [154]

Answer:

R u in 6th grade cause i can't answer this question

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the slope and y-intercept of y = 1/4x + 8
icang [17]

Answer:

slope: 1/4x, Y intercept: 8

8 0
3 years ago
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5. PLEASE HELP
lana66690 [7]

Answer:

The potential energy of the ball having 2kg mass would be 392 J

Step-by-step explanation:

I am assuming the ball has a mass of 2 kg, as you have not mentioned the mass of a ball.

Considering the formula for calculating the gravitational potential energy

G.P.E\:=\:m.g.h

As

m = 2 kg

Acceleration of gravity = g = 9.8 ms^{-2}

As the ball is on the height = h = 20 meters

So,

G.P.E\:=\:(2)(9.8)(20)

G.P.E\:=392 J

Therefore, the potential energy of the ball = 392 J

Keywords: potential energy, Gravitation potential energy

Learn more potential energy from brainly.com/question/14022793

#learnwithBrainly

5 0
3 years ago
Help please gread 8 ........................................................
motikmotik

Answer:

see explanation

Step-by-step explanation:

(a)

Since Y is the midpoint of XZ , then

XY = YZ , that is

4a - 4 = 3a + 2 ( subtract 3a from both sides )

a - 4 = 2 ( add 4 to both sides )

a = 6

(b)

XY = 4a - 4 = 4(6) - 4 = 24 - 4 = 20

XZ = 4a - 4 + 3a + 2 = 7a - 2 = 7(6) - 2 = 42 - 2 = 40

6 0
3 years ago
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