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sleet_krkn [62]
3 years ago
15

In height school me Shepard ran 4 laps in 5 and one halve minutes how long did it take him to run 1 lap

Mathematics
1 answer:
saveliy_v [14]3 years ago
5 0
The answer is B becasue if you have 20 less 5 its going to be 15 

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A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table b
DIA [1.3K]

Answer:

P(Male or Type B) > P(Male | Type B)

Step-by-step explanation:

Total Female = 85 type A, 12 type B  ⇒ 97 Female.

Total Male = 65 type A, 38 type B   ⇒ 103 Male

Total type A = 65 + 85 = 150

Total type B = 12 + 38 = 50

total number of people = 97 + 103 = 200

Then the probability would be:

P(Male | Type B) = \frac{number of male in B}{total number of male}

                           = \frac{38}{103}

                           = 0.368

P(Male or Type B) = \frac{total number of male + (total number of people in B - total number of male in B)}{total number of male}

                              =  \frac{103 + (50 - 38)}{200}

                              = \frac{103 + 12}{200}

                              = \frac{115}{200}

                              = 0.575

 Hence, P(Male or Type B) > P(Male | Type B)

3 0
3 years ago
<img src="https://tex.z-dn.net/?f=f%28x%29%3D16t%5E2%2B32t" id="TexFormula1" title="f(x)=16t^2+32t" alt="f(x)=16t^2+32t" align="
Nataly_w [17]

Answer:

- time = 1second

- maximum height = 16m

Step-by-step explanation:

Given the height of a pumpkin t seconds after it is launched from a catapult modelled by the equation

f(t)=-16t²+32t... (1)

The pumpkin reaches its maximum height when the velocity is zero.

Velocity = {d(f(x)}/dt = -32t+32

Since v = 0m/s (at maximum height)

-32t+32 = 0

-32t = -32

t = -32/-32

t = 1sec

The pumpkin reaches its maximum height after 1second.

Maximum height of the pumpkin is gotten by substituting t = 1sec into equation (1)

f(1) = -16(1)²+32(1)

f(1) = -16+32

f(1) = 16m

The maximum height of the pumpkin is 16m

6 0
3 years ago
the width of a rectangle is 4 inches less than the length ,the perimeter is 48,what is the dimensions?
zalisa [80]
Answer: 10 inches × 14 inches

Work:

length = x inches
width = x - 4 inches
perimeter = 2(l+w)

48 = 2[(x)+(x - 4)]
48 = 2(2x - 4)
24 = 2x - 4
28 = 2x
14 = x

length = x inches = 14 inches
width = x - 4 inches = 14 - 4 = 10 inches
3 0
3 years ago
Read 2 more answers
Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to d
zhuklara [117]
Step 1:
Set Variables (We will use x & y)

x = years
y = total orangutan population

Step 2:
Set up Equations

784 - 25x = y
817 - 36x = y

Step 3:
Set equations equal to each other & solve

784 - 25x = 817 - 36x
784 = 817 - 11x
-33 = -11x
3 years = x
5 0
3 years ago
Read 2 more answers
Please help me out!!!
serg [7]

Answer:

x = 76.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side / adj side

tan 70 = x/28

28 tan 70 = x

x=76.92936

Rounding to the nearest tenth

x = 76.9

8 0
3 years ago
Read 2 more answers
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