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Ne4ueva [31]
3 years ago
8

Jerry ran 3/4 of a mile in 1/8 of an hour. What was Jerry's rate of speed in miles per hour?

Mathematics
2 answers:
omeli [17]3 years ago
6 0

The rate of speed of Jerry in miles per hour is 6 miles per hour

<u>Solution:</u>

Given that, Jerry ran 3/4 of a mile in 1/8 of an hour.  

<em><u>To find: </u></em>Jerry's rate of speed in miles per hour

The relation between distance and speed is given as:

\text { distance travelled }=\text { speed } \times \text { time taken }

\text { In our problem, distance travelled }=\frac{3}{4} \text { mile and time taken }=\frac{1}{8} \text { hour }

\begin{array}{l}{\rightarrow \text { speed }=\frac{\frac{3}{4}}{\frac{1}{8}}} \\\\ {\rightarrow \text { speed }=\frac{3}{4} \times \frac{8}{1}=6} \\\\ {\rightarrow \text { speed }=6 \text { miles per hour }}\end{array}

Hence, the speed of Jerry is 6 mile per hour.

yarga [219]3 years ago
3 0

Answer:

6 miles per hour

Step-by-step explanation:

we'll set up the problem like this:

3/4 mi = 1/8 hr

now multiply each side by 8:

24/4 mi = 1 hr

simplify:

6 mi = 1 hr

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The automatic opening device of a military cargo parachute has been designed to open when the parachute is 135 m above the groun
laiz [17]

Answer:

the probability that there is equipment damage to the payload of at least one of five independently dropped parachutes is 0.4215

Step-by-step explanation:

Let consider Q to be the opening altitude.

The mean μ = 135 m

The standard deviation = 35 m

The probability that the equipment damage will occur if the parachute opens at an altitude of less than 100 m can be computed as follows:

P(Q

P(Q

P(Q

P(Q

If we represent R to be the number of parachutes which have equipment damage to the payload out of 5 parachutes dropped.

The probability of success = 0.1587

the number of independent parachute n = 5

the probability that there is equipment damage to the payload of at least one of five independently dropped parachutes can be computed as:

P(R ≥ 1) = 1 - P(R < 1)

P(R ≥ 1) = 1 - P(R = 0)

The probability mass function of the binomial expression is:

P(R ≥ 1) = 1 - (^5_0)(0.1587)^0(1-0.1587)^{5-0}

P(R ≥ 1) =1 - (\dfrac{5!}{(5-0)!})(0.1587)^0(1-0.1587)^{5-0}

P(R ≥ 1) = 1 - 0.5785

P(R ≥ 1) = 0.4215

Hence, the probability that there is equipment damage to the payload of at least one of five independently dropped parachutes is 0.4215

8 0
3 years ago
5(1+4m)=2(3+10m)<br> Please help. Show work please
jarptica [38.1K]
5 times 1 which is 6+4m
6+10m
Combine light terms
12+14m
5 0
3 years ago
Read 2 more answers
Ana runs 3/4 miles in 6 minutes or 1/10 hour. What is her spores in miles per hour?
Tems11 [23]
3/4 divided by 1/10
15/2=7.5 miles/hr
6 0
3 years ago
The quotient of a number x and −1.5  is 21
Andru [333]

<u><em>Answer:</em></u>

x = -31.5

<u><em>Explanation:</em></u>

We are given that the quotient of x and -1.5 is 21

<u>This means that:</u>

\frac{x}{-1.5} =21

To get the value of x, we will multiply both sides of the equation by -1.5

<u>This means that:</u>

\frac{x}{-1.5} * -1.5=21*-1.5

x = -31.5

<u>Note that</u> the value of x must be negative because we are dividing by a negative number and the quotient is positive (-ve/-ve is +ve and +ve/-ve is -ve)

Hope this helps :)

3 0
3 years ago
Which equation can you use to solve for x? x + 56 = 180 x + 146 = 180 180−x=146 x + 56 = 146 The figure contains a pair intersec
Harlamova29_29 [7]
The correct question is
<span>Which equation can you use to solve for x? x + 56 = 180 x + 146 = 180 180−x=146 x + 56 = 146 The figure contains a pair intersecting lines. One of the four angles formed by the intersecting lines is labeled 146 degrees. The angle opposite and not adjacent to this angle is broken into two smaller angles by a ray that extends from the point where the two lines intersect. One of these smaller angles is labeled 56 degrees, and the other smaller angle is labeled x degrees.

see the picture attached to better understand the problem

we know that
angle 146</span>° and angle (56°+x°) area equal -----> by vertical angles
so
146=56+x
therefore

the answer is
<span>x + 56 = 146</span>

3 0
3 years ago
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