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Elenna [48]
1 year ago
8

Last year Beth's annual salary was $38,350. This year she received a promotion and now earns $46,462 annually. She is paid biwee

kly.
a.) What was her biweekly salary last year?
b.) What is Beth’s biweekly salary this year?
c.) On a biweekly basis, how much more does Beth earn as a result of her promotion?
Mathematics
1 answer:
kenny6666 [7]1 year ago
8 0

Answer:

Quite simple. There are 52 weeks in a year. She gets paid 26 times, every other week.

38,350 / 26 = her salary from last year per check.

46,462 / 26 = her new salary per check

(46,462 - 38,350) / 26 = the difference per week

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Triangle Q R S is shown. Angle Q R S is a right angle. Angle R S Q is 30 degrees and angle S Q R is 60 degrees. The length of R
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The value of sin(30°) is: One-half ⇒ 2nd answer

Step-by-step explanation:

In a right triangle there are two acute angles, the side opposite to the right angle is called hypotenuse, and the other two sides are opposite and adjacent to the acute angles

  • sine the acute angle (sin) = opposite side to it/hypotenuse
  • cosine the acute angle (cos) = adjacent side to it/hypotenuse
  • Tangent the acute angle (tan) = opposite side to it/adjacent side to it

In Δ QRS:

∵ m∠QRS = 90°

∵ SQ is opposite to ∠QRS

∴ SQ is the hypotenuse

∵ SQ = 10 units

∴ The hypotenuse = 10

∵ m∠RSQ = 30°

- The opposite side to ∠RSQ is RQ

∵ RQ = 5 units

∴ The opposite side to the angle of 30° = 5

∵ sin(30°) = opposite side to 30°/hypotenuse

∵ The opposite side to angle 30° = 5

∵ The hypotenuse = 10

∴ sin(30°) = \frac{5}{10}

∴ sin(30°) = \frac{1}{2}

The value of sin(30°) is: One-half

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/9880052

#LearnwithBrainly

5 0
2 years ago
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Amee received an end of year bonus of $1550 at work and went on a shopping spree. She spent $225 at the department store, $275 a
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Answer: She has $1022 left.

Step-by-step explanation:

The total amount that Amee received an the end of year as bonus at work is $1550.

She went on a shopping spree, spending $225 at the department store, $275 at the home furnishing store, and $28 at the card shop. Therefore, the total amount that she spent at the department store, the home furnishing store, and the card shop is

225 + 275 + 28 = $528

Therefore, the total amount of her bonus that she has left is

1550 - 528 = $1022

6 0
2 years ago
The type of part being manufactured today should be 1.27 inches wide, with a tolerance of 0.04 inches. If a part does not meet t
olasank [31]
The range of widths is {1.23,1.31} so none will be rejected, answer A.

3 0
2 years ago
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A study of immunizations among school‑age children in California found that some areas had rates of unvaccinated school‑age chil
Rom4ik [11]

Answer:

Probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.

Step-by-step explanation:

We are given that a classroom of 20 children in one such area where 13.5% of children are unvaccinated.

If there are no siblings in the classroom, we are willing to consider the vaccination status of the 2020 unrelated children to be independent.

The above situation can be represented through binomial distribution;

P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,......

where, n = number of trials (samples) taken = 20 children

            r = number of success = none of the 20 children

            p = probability of success which in our case is probability that

                   children are unvaccinated, i.e; p = 13.5%

<u><em>Let X = Number of children that are unvaccinated</em></u>

So, X ~ Binom(n = 20, p = 0.135)

Now, Probability that none of the 20 children in such a classroom would be unvaccinated is given by = P(X = 0)

           P(X = 0)  =  \binom{20}{0} \times 0.135^{0} \times (1-0.135)^{20-0}

                          =  1\times 1 \times 0.865^{20}

                          =  0.055

<em>Hence, the probability that none of the 20 children in such a classroom would be unvaccinated is 0.055.</em>

8 0
2 years ago
A brochure from the department of public safety in a northern state recommends that motorists should carry 12 items (flashlights
scoray [572]

Answer:

Mean = 6.07

Median = 7

Mode = 7

Step-by-step explanation:

Given

Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9

n = 15

Solving (a): The mean

Mean is calculated as:

Mean = \frac{\sum x}{n}

This gives:

Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}

Mean = \frac{91}{15}

Mean = 6.07

Solving (b): The median

Sort the data in ascending order:

Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9

Sorted: 0\ 0\ 1\ 3\ 5\ 5\  6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12

The median is:

Median = \frac{n + 1}{2}th

Median = \frac{15 + 1}{2}th

Median = \frac{16}{2}th

Median = 8th    

The 8th item on the sorted dataset is 7; So:

Median = 7

Solving (c): The mode

Mode = 7

Because it has a frequency of 3 (more than any other element of the dataset).

6 0
2 years ago
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