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Troyanec [42]
2 years ago
16

Drag the tiles to the correct boxes to complete the pairs. A group of people were surveyed, and the data about their age and hem

oglobin levels was recorded in a two-way table. Based on the data in the table, match each probability with its correct value. Hemoglobin Level Age Less than 25 Years 25–35 Years Above 35 Years Total Less than 9 21 32 76 129 Between 9 and 11 49 52 46 147 Above 11 69 44 40 153 Total 139 128 162 429 the probability that a person older than 35 years has a hemoglobin level less than 9 the probability that a person younger than 25 years has a hemoglobin level above 11 the probability that a person in the 25–35 age group has a hemoglobin level less than 9 the probability that a person older than 35 years has a hemoglobin level between 9 and 11
Mathematics
1 answer:
SVEN [57.7K]2 years ago
4 0

Answer: 0.25 = the probability that a person in the 25-35 age group has a hemoglobin level less than 9.

0.47 = the probability of a person older then 35 years has a hemoglobin level less than 9.

0.28 = the probability that a person is older than 35 has a hemoglobin level between 9 and 11.

0.50 = the probability that a person younger than 25 has a hemoglobin level above 11.

Step-by-step explanation:

I did this on plato. It was right!

#platolivesmatter

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Shanti wrote the predicted values for a data set using the line of best fit y = 2.55x – 3.15. She computed two of the residual v
svet-max [94.6K]
<span>Residual value is the difference between the observed value of the dependent variable (y) and the predicted value (ŷ) in a data set.

i.e. Residual value = given value - predicted value

From the table, the residual value corresponding to a has 4.1 as the given value and 4.5 as the predicted value.
Therefore, a = 4.1 - 4.5 = -0.4

Similarly, </span><span>the residual value corresponding to b has 7.2 as the given value and 7.05 as the predicted value.
Therefore, b = 7.2 - 7.05 = 0.15
</span>
Therefore, a = -0.4 and b = 0.15
4 0
2 years ago
Read 2 more answers
Bernardo and Ogechi were asked to find an explicit formula for the sequence 1\,,\,8\,,\,64\,,\,512,...1,8,64,512,...1, comma, 8,
MatroZZZ [7]

Answer:

h_{n}=1.(8)^{n-1} will be the correct formula for the given sequence.

Step-by-step explanation:

The given sequence is 1, 8, 64, 512...........

The given sequence is a geometric sequence having a common ratio (r) of

r = \frac{\text{Second term}}{\text{First term}}

r = \frac{8}{1}=8

Since explicit formula of a geometric sequence is given by

T_{n}=a(r)^{n-1}

where T_{n} = nth term of the sequence

a = first term of the sequence

r = common ratio of the successive term to the previous term

Now we plug values of a and r in the formula to get the explicit formula for the given sequence.

T_{n}=1.(8)^{n-1}

Therefore, if Bernardo is saying that the formula of the sequence is

h(n) = 1.(8)^{n-1} then he is correct.

7 0
2 years ago
Read 2 more answers
HELP!
adelina 88 [10]

Answer:

A) 66 inches

B) 3.5 inches

C) 38 inches

D) 3 inches

Step-by-step explanation:

A)

If the height of the 36-month-old boy is 36 inches, we just need to use the value of x = 36 in the equation, and then find the value of y:

y = 3.5 * 36 - 60 = 66 inches

B)

As the slope of the equation is 3.5, an increase of 1 in the value of x causes a increase of 3.5 in the value of y, so the answer is 3.5 inches.

C)

We just need to use y = 73 and then find x:

73 = 3.5x - 60

3.5x = 133

x = 38 inches

D)

If the increase in y was 10.5, we just need to divide this value by the slope to find the increase in x:

dx = dy/3.5 = 10.5/3.5 = 3 inches

7 0
2 years ago
If f (x) = 5 x minus 25 and g (x) = one-fifth x + 5, which expression could be used to verify g(x) is the inverse of f(x)?
Vinil7 [7]

Answer:

The expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

Step-by-step explanation:

We are given:

f(x)= 5x-25\\g(x)=\frac{1}{5}x+5

We need to find the expression that could be used to verify g(x) is the inverse of f(x).

We know that g(f(x))=x is inverse of function

So placing value of f(x) in g(x)

g(f(x))=\frac{1}{5}(5x-25)+5

So, the expression used to represent g(x) as inverse of f(x) is \frac{1}{5}(5x-25)+5

Option B is correct.

We can also solve to prove that g(f(x))=x

g(f(x))=\frac{1}{5}(5x-25)+5\\g(f(x))=\frac{5}{5}(x-5)+5\\g(f(x))=x-5+5\\g(f(x))=x

5 0
1 year ago
Read 2 more answers
Inquiries arrive at a record message device according to a Poisson process of rate 15 inquiries per minute. The probability that
zloy xaker [14]

Answer:

0.0498 = 4.98%

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given time interval.

Inquiries arrive at a record message device according to a Poisson process of rate 15 inquiries per minute.

Each minute has 60 seconds.

So a rate of 1 inquire each 4 seconds.

The probability that it takes more than 12 seconds for the first inquiry to arrive is approximately

Mean of 1 inquire each 4 seconds, so for 12 seconds \mu = \frac{12}{4} = 3

This probability is P(X = 0).

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498

5 0
2 years ago
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