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3 years ago

The temperature at midnight

Mathematics

1 answer:

Kamila [148]3 years ago

3 0

37 degrees would be the difference in temperatures.

As 5-37 would be -32

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The velocity of a ball is thrown up is 20 meters/second. It attains zero velocity after 3.5 seconds. What is the average acceler

Reptile [31]

Average acceleration: ( v - v o ) / Δ t
v = 0 m/s, v o = 20 m/s, Δ t = 3.5 s
a (average) = ( 0 m/s - 20 m/s )/3.5 s = - 20 m/s / 3.5 s =
= - 5.7142857 m/s² ≈ - 5.71 m/s²

7 0

4 years ago

Read 2 more answers

Clarisa's annual gross pay as an account manager is $54,000. If the graduated state tax rate is 1% for the first $5,000 and 3% f

Hoochie [10]

Answer:

Total taxes = $1,520

Step-by-step explanation:

We have two separate calculations for the taxes:

The tax rate for the first $5,000 of Clarisa's gross pay is 1%, so the amount of tax paid in this case is

1% * 5000 = $50

The tax rate for the amount of value over $5,000 (that is, 54,000 - 5,000 = 49,000) is 3%, so the amount of tax is:

3% * 49,000 = $1,470

So, the total amount deducted for state taxes is:

Total taxes = 50 + 1470 = $1,520

4 0

4 years ago

Suppose m < ABC = 110. what is m < DBC

laiz [17]

I believe the answer is A. 40.

6 0

3 years ago

In AABC, mZA=x, mZB = 2x +2, and

AnnyKZ [126]

Answer:

x = 29

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

x + 2x + 2 + 3x + 4 = 180, that is

6x + 6 = 180 ( subtract 6 from both sides )

6x = 174 ( divide both sides by 6 )

x = 29

6 0

3 years ago

Read 2 more answers

A soft-drink machine can be regulated so that it discharges an average of μ oz. per cup. If the ounces of fill are Normally dist

sattari [20]

Answer:

μ = 5.068 oz

Step-by-step explanation:

Normal distribution formula to use the table attached

Z = (x - μ)/σ

where μ is mean, σ is standard deviation, Z is on x-axis and x is a desired point.

98% of 6-oz. cups will not overflow means that the area below the curve is equal to 0.49; note that the curve is symmetrical respect zero, so, 98% of the cases relied between the interval (μ - some value) and (μ + some value)].

From table attached, area = 0.49 when Z = 2.33. From data, σ = 0.4 oz and x = 6 oz (maximum capacity of the cup). Isolating x from the formula gives

Z = (x - μ)/σ

2.33 = (6 - μ)/0.4

μ = 6 - 2.33*0.4

μ = 5.068

This means that with a mean of 5 oz and a standard deviation of 0.4 oz, the machine will discharge a maximum of 6 oz in the 98% of the cases.

4 0

3 years ago