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velikii [3]
1 year ago
10

A fuelling vehicle finished filling a plane with 12.40 tons of fuelat 10:35. If the fuelling rate is 0.20 ton of fuel per min, a

t whattime did the fuelling start? Give your answer in a 12-hour clockformat, such as 9:00.Enter the answer
Mathematics
1 answer:
BartSMP [9]1 year ago
4 0

Let's define,

X := Total minutes it takes to fill the plane (with fuel)

Then,

X\cdot0.20=12.40

Solving it for X, we get

X=\frac{12.40}{0.20}=62\text{ min}

This means that the vehicle takes 1 h 2 min to fill the plane. If the fuelling finished at 10:35, it began at

10-1\colon35-2=9\colon33

9:33.

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Given the figure below, find the values of x and z.
iragen [17]

Answer:

x=6 and z=107

Step-by-step explanation:

From the figure or diagram we can say that

z+15x-17=180 ---(1)

z+11x+7=180 ---(2)

Subtracting (1) and (2)

z+15x-17-(z+11x+7)=180-180

4x-24=0

4x=24

x=6

Substitute x=6 in (2)

z+11(6)+7=180

z+66+7=180

z=180-73

z=107

4 0
2 years ago
A math professor notices that scores from a recent exam are normally distributed with a mean of 61 and a standard deviation of 8
Alexeev081 [22]

Answer:

a) 25% of the students exam scores fall below 55.6.

b) The minimum score for an A is 84.68.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 61 and a standard deviation of 8.

This means that \mu = 61, \sigma = 8

(a) What score do 25% of the students exam scores fall below?

Below the 25th percentile, which is X when Z has a p-value of 0.25, that is, X when Z = -0.675.

Z = \frac{X - \mu}{\sigma}

-0.675 = \frac{X - 61}{8}

X - 61 = -0.675*8

X = 55.6

25% of the students exam scores fall below 55.6.

(b) Suppose the professor decides to grade on a curve. If the professor wants 0.15% of the students to get an A, what is the minimum score for an A?

This is the 100 - 0.15 = 99.85th percentile, which is X when Z has a p-value of 0.9985. So X when Z = 2.96.

Z = \frac{X - \mu}{\sigma}

2.96 = \frac{X - 61}{8}

X - 61 = 2.96*8

X = 84.68

The minimum score for an A is 84.68.

8 0
3 years ago
A school theater can sell 87 tickets for show. if 9 have been sold how many tickets are still left to be sold
shutvik [7]

Answer:

78 tickets left to be sold

Step-by-step explanation:

87-9=78

8 0
3 years ago
Read 2 more answers
Sphere and a cylinder have the same radius and height. The volume of the cylinder is 64 meters cubed.
Mrrafil [7]

Answer:

C. 128/3 meters cubed

Step-by-step explanation:

The volume of a cylinder is denoted by: V=\pi r^2h, where r is the radius and h is the height. We know it's equal to 64, so we can set that equal to V:

V=\pi r^2h

64=\pi r^2h

We know that the sphere and cylinder have the same height and radius. However, the "height" of a sphere is actually the same as its diameter, which is twice its radius. Then, we can replace h in the above equation with 2r:

64=\pi r^2h

64=\pi r^2*2r=2\pi r^3

\pi r^3=64/2=32

Now, the volume of a sphere is denoted by: V=\frac{4}{3} \pi r^3, where r is the radius. From above, we know that \pi r^3=32, so we can plug this into the equation:

V=\frac{4}{3} \pi r^3

V=\frac{4}{3} *32=128/3

Thus, the answer is C.

4 0
3 years ago
Read 2 more answers
Jamir is training for a race and is running laps around a field. If the distance around the field is 250 yards, how many complet
aleksley [76]

Answer:

27 laps

Step-by-step explanation:

1 mile = 1,670 yards

1,670 x 4 = 6,680

6,680 / 250 = 26.72 rounded to the nearest hundreth = 27

6 0
3 years ago
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