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Novosadov [1.4K]
3 years ago
7

I need help or me mommy will get mad

Mathematics
2 answers:
suter [353]3 years ago
4 0

Answer:

2 inches

Step-by-step explanation:

\frac{.25}{4} =\frac{x}{32} \\

(0.25*32)/4=2

aleksklad [387]3 years ago
4 0

Answer:

2 inches

Step-by-step explanation:

please mark this answer as brainliest

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84, 99, 88, 82, 95, 85
Vladimir [108]

Answer:

97

Step-by-step explanation:

3 0
3 years ago
An employee is paid a salary of \$73,840 per year, plus benefits and overtime (time and a half) on hours worked over 40 per week
gulaghasi [49]

Answer:

B. $35.50/hr and \$6,079.38 in total income

Step-by-step explanation:

Given the following :

Total regular pay earning for the year = $73,840

Let basic salary = b

Overtime = 1.5b

Regular earning per week :

Regular year earning / number of weeks per year

$73840 / 52 = $1420

Regular hours = 40

Regular earning per week = $1420

Regular earning per hour = $1420 / 40

Regular earning per hour = $35.50

Number of overtime hours :

4 hours + 3.5hours = 7.5hours

Overtime pay per hour = 1.5 * regular earning

Overtime pay per hour = 1.5 * 35.5 = $53.25

Total overtime pay = Overtime pay per hour * Number of overtime hours

Total overtime pay = $53.25 * 7.5

Total overtime pay = 399.375

Total pay for the month :

160 regular hours + 7.5 overtime hours

(160 * 35.5) + $399.375

$5,680 + 399.375 = $6,079.375

= $6,079.38

4 0
3 years ago
What is the inverse of the function f(x) = 4x + 8?
Viktor [21]

Answer: FIRST OPTION.

Step-by-step explanation:

Given the following function:

f(x)= 4x + 8

Follow this steps in order to find its inverse:

1. Rewrite the function with y=f(x):

y= 4x + 8

2. Solve for "x":

y-8= 4x\\\\x=\frac{y-8}{4}\\\\x=\frac{y}{4}-2

3. Now you must exchange the variables:

y=\frac{x}{4}-2

4. And finally, rewrite the function with h(x)=y:

h(x)=\frac{x}{4}-2

Therefore, the inverse function is h(x)=\frac{x}{4}-2

8 0
3 years ago
Read 2 more answers
Write the number in expanded form: 3.15 x 10^3<br> please explain step by step
vivado [14]

Answer:

3150.0

Step-by-step explanation:

You move the decimal point 3 places to the right because the exponent is a positive 3.

3 0
3 years ago
The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes
Artist 52 [7]

Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(completing the exam in one hour or less)

P(x < 60)

P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)

Calculation the value from standard normal z table, we have,  

P(x < 60) =0.023= 2.3\%

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%

c) P(completing the exam in more than 90 minutes)

P(x > 90)

P( x > 90) = P( z > \displaystyle\frac{90 -80}{10}) = P(z > 1)

= 1 - P(z \leq 1)

Calculation the value from standard normal z table, we have,  

P(x > 90) = 1 - 0.8413 = 0.1587 = 15.87\%

15.87% of children of class will require more than 90 minutes to complete the test.

Number of children =

\dfrac{15.87}{100}\times 60 = 9.52\approx 10

Approximately, 10 students of class will require more than 90 minutes to complete the test.

4 0
3 years ago
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