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fredd [130]
3 years ago
14

Rachel is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove to get to the

safe zone at 24 meters per second. After 4 seconds of driving, she was 70 meters away from the safe zone
Mathematics
1 answer:
lara31 [8.8K]3 years ago
7 0

Answer:

D(t)=-24t+166

Step-by-step explanation:

Let

D(t) = the distance to the safe zone (measured in meters)

t = time (measured in seconds)

<u>Given:</u>

Rachel's rate = 24 meters per second

At t_1=4 seconds D(t_1)=70 meters

<u>Find:</u> D(t)

Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative.

Hence, the function expression is

D(t)=-24t+b

To find b, substitute t_1=4 and  D(t_1)=70:

70=-24\cdot 4+b\\ \\70=-96+b\\ \\b=70+96\\ \\b=166

So,

D(t)=-24t+166

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PLEASE HELPPPPPPPPPP
Sauron [17]

Answer:

167/346 or 0.483

Step-by-step explanation:

From the question given above, the following data were obtained:

Number of Tails (T) = 167

Number of Heads (H) = 179

Probability of tail, P(T) =?

Next, we shall determine total outcome. This can be obtained as follow:

Number of Tails (T) = 167

Number of Heads (H) = 179

Total outcome (S) =?

S = T + H

S = 167 + 179

Total outcome (S) = 346

Finally, we shall determine the probability of tails. This can be obtained as follow:

Number of Tails (T) = 167

Total outcome (S) = 346

Probability of tail, P(T) =?

P(T) = T / S

P(T) = 167 / 346

P(T) = 0.483

Thus, the probability of tails is 167/346 or 0.483

3 0
2 years ago
Which choice is the equation of the line that passes through the point (5, 19) and has a slope of
Liono4ka [1.6K]

Answer:

The equation is;

y = 12x-41

Step-by-step explanation:

Mathematically;

slope intercept form is;

y = mx + b

where m is slope and b is intercept

Since we already have the slope , the equation is;

y = 12x + b

To get b which is the y intercept, we simply substitute the value of the points given

Thus;

19 = 5(12) + b

19 = 60+ b

b = 19-60

b = -41

So the equation is;

y = 12x - 41

3 0
2 years ago
John has four more apples than Kim. Kim has three times as many apples than Rob. Altogether, they have 46 apples. How many apple
Anika [276]

Answer:

Step-by-step explanation:

j=k+4

k=3r

j=3r+4

j+k+r=46

3r+4+3r+r=46

7r+4=46

7r=42

r=6, since k=3r

k=18, since j=k+4

j=22

j,k,r=22,18,6

5 0
3 years ago
Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for t
rjkz [21]

Answer:

COV (all stocks) = 0.55

COV (stocks and bonds) = 0.82

Step-by-step explanation:

Coefficient of Variation is used to measure variability.

It is defined as the ration of standard deviation and the mean.

It can be used to compare variability of two population or two samples.

Formula:

\text{Coefficient of Variation} = \displaystyle\frac{\text{Standard Deviation}}{\text{Mean}}

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

x: 14, 0, 39, 25, 32, 27, 28, 14, 14, 15

Mean = \frac{208}{10} = 20.8

Standard~Deviation = \sqrt{\frac{1169.6}{9} } = 11.39

Coefficient~of~Variation = \frac{11.39}{20.8} = 0.55

y = 6, 2, 29, 17, 26, 17, 17, 2, 3, 5

Mean = \frac{124}{10} = 12.4

Standard~Deviation = \sqrt{\frac{924.4}{9} } = 10.13

Coefficient~of~Variation = \frac{10.13}{12.4} = 0.82%

Since coefficient of variation of x is less compared to y, thus it could be said bonds does not reduce overall risk of an investment portfolio.

6 0
2 years ago
What’s the answer ????
Temka [501]

Answer:

Answer is 4/25

Step-by-step explanation:

0.16*100 = 16 which would allow us to say 16/100

now you can divide 16 and 100 by 4 which would be

16/4 = 4 and 100/4= 25

therefore the answer is 4/25

8 0
2 years ago
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