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ad-work [718]
3 years ago
7

union dues are deducted from a paycheck at a rate of 4.5% of the total earnings each week if a part time employee works 20 hours

per week and earns $6 per hour, what would be the dues deduction?
Mathematics
1 answer:
romanna [79]3 years ago
5 0

First, you want to find how much the employee is making per week

In this cause, you would multiply 20 × 6

20 × 6 = 120

The employee makes $120 per week.

Then you will need to find what is 4.5% of $120.

Before you multiply, you want to move the decimal place 2 times to the left. You would end up with .045

You would multiply those two numbers

0.45 × 120 = 5.4

$5.4 is the amount of money being deducted to your sub total

$5.4 would be the dues deducted


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Which statement about this figure is true?
LenKa [72]

Answer:

It has reflectional symmetry with four lines of symmetry. It has no rotational symmetry It has point symmetry. It has rotational symmetry with an angle of rotation of 90°.

6 0
3 years ago
The figure below shows concentric circles, both centered at 0.0
Rama09 [41]

Answer:

  C.  18 cm

Step-by-step explanation:

The ratio of the sides of the triangle shown is 12 : 15 = 4 : 5. We know it is a right triangle, so we know the missing side length completes the ratio

  3 : 4 : 5 = 9 : 12 : 15

Half of XY is 9 cm, so the length of the entire chord is 18 cm.

_____

The chord is tangent to the inner circle, so makes a 90° angle with the radius to that tangent point. This tells you that the triangle shown is a right triangle. It also tells you that the short radius bisects the chord. The Pythagorean theorem can be used to find the length of the side not shown (half the chord length).

The unknown side (a) can be found from  ...

  15² = 12² +a²

  225 -144 = a² . . . . . . subtract 12²

  81 = a² . . . . . . . . . . .  simplify

  9 = a . . . . . . . . . . . . . take the square root

The chord length is 2a, so is ...

  2(9 cm) = 18 cm . . . . length of chord XY

7 0
3 years ago
For the following hypothesis test, H0: μ ≥ 150Ha: μ < 150​the test statistic a. must be positive. b. must be negative. c. can
Virty [35]

Answer:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

And since we are conducting a lower unilateral lest  then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

Step-by-step explanation:

Data given and notation      

\bar X represent the sample mean    

s represent the standard deviation for the sample      

n sample size      

\mu_o =150 represent the value that we want to test    

\alpha represent the significance level for the hypothesis test.    

t would represent the statistic (variable of interest)      

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.      

We need to conduct a hypothesis in order to determine if the mean is lower than 150, the system of hypothesis would be:      

Null hypothesis:\mu \geq 150      

Alternative hypothesis:\mu < 150      

We don't know the population deviation, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:      

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)      

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

And since we are conducting a lower unilateral lest  then we expected that the value for the statistic would be negative. And the correct answer would be:

b. must be negative

7 0
3 years ago
In 2 hours, a ship travels 53 miles. What is the constant of proportionality
Y_Kistochka [10]

Answer:

1, 26.5

Step-by-step explanation:

every hour the ship travels 26.5 miles

8 0
3 years ago
HELP
Komok [63]

Answer: 1/8 is left over.

Step-by-step explanation:

Tess already at half of the pizza, and Shawn ate a quarter of the pizza.

1/2 + 1/4= 3/4

There is a quarter of pizza remaining, but Molly ate half of that quarter (1/8). There is only 1/8 of pizza left.

5 0
3 years ago
Read 2 more answers
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