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kolbaska11 [484]
3 years ago
8

A radio station surveyed a group of men and women, asking them to name the genre of music they prefer. This table shows the surv

ey results.
              Pop Jazz Rock Hip-Hop  
Men       16     38   101      45
Women  91    48    22     39




Which statements about this data are true? Round your answers to the nearest hundredth.

A. The relative frequency of people who prefer jazz who are women is 0.24.
B. The relative frequency of men who prefer hip-hop is 0.54.
C. The relative frequency of people who prefer rock who are men is 0.50.
D. The relative frequency of women who prefer pop is 0.46.
E. The relative frequency of people who prefer hip-hop who are women is 0.46.
Mathematics
2 answers:
Free_Kalibri [48]3 years ago
8 0
Total people:
16 + 38 +101 +45 + 91 + 48 + 22 + 39 = 400
 total men: 16 + 38 + 101 + 45 = 200
total women = 400-200 = 200

total pop: 16+91 = 107
jazz = 38+48 = 86
rock: 101+22 = 123
hip hop: 45 +39 = 84

A. 48 / 400 = 0.12

B. 45/200 = 0.23

C. 101/400 = 0.25

D. 91/200 = 0.46

E: 39/400 = 0.10
 D is the only correct one if I did my math correctly


Murrr4er [49]3 years ago
6 0

Answer:

it is A and D

Step-by-step explanation:

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Wite a numerical expression for the below problems. Simplify the expressions.
ziro4ka [17]

Answer:

1) 9

2) 34

Step-by-step explanation:

For the first one, it would be

= (6×3)/2

= 18/2

= 9

The second one is,

= 36- (12/6)

= 36 - 2

= 34

4 0
2 years ago
Write an equation of the translated function of the parent function f(x)=|x| with the following transformations:
MrRa [10]

Answer:

Option b

Step-by-step explanation:

To write the searched equation we must modify the function f (x) = | x | in the following way:

1. Do y = f(x + 4)

This operation horizontally shifts the function f(x) = | x | by a factor of 4 units to the left on the x axis.

y = | x +4 |

2. Do y = f (\frac{1}{4}x)

This operation horizontally expands the function f (x) = | x | in a factor of 4 units. y = |\frac{1}{4}x + 1|

3. Do y = f(x)-4

This operation vertically shifts the function f (x) = | x | by a factor of 4 units down on the y-axis.

y = |\frac{1}{4}x +1| -4

4. After these transformations the function f(x) = | x | it looks like:

f(x) = |\frac{1}{4}x +1| -4

Therefore the correct option is option b. You can verify that your vertex is at point (-4, -4) by making f (-4)

f(-4) = |\frac{1}{4}(-4) +1| -4 = -4

8 0
3 years ago
What number should be added to the expression x2 14x to change it into a perfect square trinomial?.
makkiz [27]

Answer:

  49

Step-by-step explanation:

When you look at the square of a binomial, you see ...

  (x +a)^2 = x^2 +(2a)x +a^2

The constant value (a^2) is <em>the square of half the x-coefficient</em>.

  (14/2)^2 = 49 . . . . the value to be added.

Adding 49 gives ...

  x^2 +14x +49 = (x +7)^2

8 0
2 years ago
The average annual salary for a teacher nationally is $58,353. This is projected to increase 2% per year for the next 4 years. W
mario62 [17]

Answer:

\$63,163.16

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

y=a(1+r)^x

where

y is the average annual salary

x is the number of years

r is the rate of change

a is the initial value

In this problem we have

a=58,353\\r=2\%=2/100=0.02

substitute

y=58,353(1+0.02)^x

y=58,353(1.02)^x

For x=4 years

y=58,353(1.02)^4=\$63,163.16

4 0
3 years ago
The National Science Organization is monitoring the continuous exponential decline of an insect species due to deforestation. Th
kakasveta [241]

Answer:

P\geq 26e^{-0.079t}

P\geq 2

Step-by-step explanation:

We are given that there is an exponential decay.

Also, the decrease is of constant rate 7.9% i.e. 0.079 each year.

Since, the initial amount of the species is atleast 26 million.

Thus, the inequality for the corresponding model will be, P\geq 26e^{-0.079t},

where t is the time period for the decay and P is the population.

Moreover, is is given that the population cannot be less than 2 million.

So, we get, P\geq 2.

Hence, the inequalities to determine the possible number of insects over time are given by,

P\geq 26e^{-0.079t}

P\geq 2.

4 0
3 years ago
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