Linda is paid double her normal hourly rate for each hour she works over 40 hours in a week. Lastweek she worked 52 hours and earned $544. What is her hourly pay?

Answers

Answer 1
Answer:

Answer:

her hourly pay is £8.50

Step-by-step explanation:

h= hourly pay

n = number of hours worked over 40 hours in a week

week pay = 40h + (n x 2 x h)

544 = 40h + 2nh

52 - 40 = 12, so n = 12

544 = 40h + 2 x 12 x h

544 = 40h + 24h

544 = 64h

544/64 = 8.5 h=8.5 (£8.50)

just to check:

£8.50 x 40 = £340

£8.50 x 2 x 12 = 204

340 + 204 = 544 yayy the answer is correct

hope this helps x

plzzz can i hv brainliest


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1. Solve the equation.
-5 = a/18 (This is a fraction)

Answers

-5 = a/18

multiply by 18 on each side

-5 * 18 = a/18 * 18

-90 = a


Answer: a = -90

Answer is JKismyhusbandbae:

\mathrm{Switch\:sides}\n(a)/(18)=-5\n\mathrm{Multiply\:both\:sides\:by\:}18\n(18a)/(18)=18\left(-5\right)\nSimplify\na=-90

BRAINLIEST !
Please at least take a look.

Answers

Answer:

Step-by-step explanation:

Tan Ф = opposite/adjacent = 170/90 = 1.89

Ф = tan⁻¹ 1.89 = 62.1°

tan Ф = x/207

tan 62.1° x 207 = x

1.89 x 207 = 391.23

Answer:

391 ft

Step-by-step explanation:

Using similar figures

X/170 = 207/90

X = 170 × 207/90

X = 391 ft

the domain of the function f(x) = 3x3 is {2, 5}. what is the function’s range? the range of the function f(x) = 3x3 when its domain is {2, 5} is

Answers

Answer:

{24,375}

Step-by-step explanation:

The range would be 24,250 hope this helps

The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard deviation of 0.60° F. If 25 adults are randomly selected, find the probability that their mean body temperature is less than 99° F?

Answers

Answer: 0.9996

Step-by-step explanation:

Given : The body temperatures of adults are normally distributed with a mean of 98.6° F and a standard deviation of 0.60° F.

Sample size : n=25

Let x be the random variable that represents the body temperatures of adults.

z-score : z=(x-\mu)/((\sigma)/(√(n)))

For x= 99° F

z=(99-98.6)/((0.60)/(√(25)))\approx3.33

Now, the probability that their mean body temperature is less than 99° F will be :-

P(X<99)=P(z<3.33)=0.9995658\approx0.9996

Hence, the probability that their mean body temperature is less than 99° F  = 0.9996

Final answer:

To find the probability that the mean body temperature of 25 randomly selected adults is less than 99°F, we can use the Central Limit Theorem and calculate the Z-score. The mean body temperature of adults is 98.6°F with a standard deviation of 0.60°F. The sample size is 25.

Explanation:

To find the probability that the mean body temperature of 25 randomly selected adults is less than 99°F, we can use the Central Limit Theorem. According to the Central Limit Theorem, the sampling distribution of the sample mean follows a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In this case, the mean body temperature of adults is 98.6°F with a standard deviation of 0.60°F. The sample size is 25. So, the mean of the sampling distribution would still be 98.6°F, but the standard deviation would be 0.60°F divided by the square root of 25, which is 0.12°F.

Now, we can use the Z-score formula to find the probability that the mean body temperature is less than 99°F. The Z-score is calculated by subtracting the population mean from the desired value (99) and dividing it by the standard deviation of the sampling distribution (0.12). We can then use a Z-table or calculator to find the probability associated with the Z-score.

Learn more about Probability here:

brainly.com/question/32117953

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What is 0.32 written as a fraction in simplest form?

Answers

0.32 in fraction form is 32/100. then to make it simplest form, divide by a common factor. 32/2 = 16 and 100/2 = 50, which gives you 16/50, however this can be simplified more. divide by 2 again and you have 8/25, which cannot be simplified any further. another way to have found this answer would be to find the greatest common factor as the first step, which would be 4; 32/4=8 and 100/4=25
Okay the last number behind the decimal is in the hundredths place put 32 over 100. 32/100. Now find a number they can both be divided equally by. The highest number they can both be divided by is 4. 32÷4=8 and 100÷4=25 now put 8 over 25 and you have your answer. ANSWER: 32/100=8/25

If you split a right angle with a ray going through the middle of the right angle, the two angles formed will be ______. Select one: a. Obtuse b. Vertical c. complementary

Answers

Answer:

Complementary

Step-by-step explanation:

To be complementary, your two angles need to add up to 90 degrees

a right triangle is already 90 degrees so if you cut it through the middle they'd form complementary angles

ANSWER:
To be complementary rwo angles need to add up to 90.
If we cut a right angled triangle we will get complementary angles.
HOPE IT HELPS!!!!