A triangle has angles measuring 23 and 48 degrees. What is the measure of the third angle?

Answer:

0.337 = 33.7% probability that one of the eight children has a food allergy.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

7% of U.S. children 4 years of age or younger have a food allergy.

This means that [tex]p = 0.07[/tex]

A day care program has capacity for 8 children in that age range.

This means that [tex]n = 8[/tex]

What is the probability that one of the eight children has a food allergy?

This is P(X = 1).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{8,1}.(0.07)^{1}.(0.93)^{7} = 0.337[/tex]

0.337 = 33.7% probability that one of the eight children has a food allergy.

Answer:

r=-45

Explanation:

r/5=-9

5xr/5=5(-9)

5x r/5=5(-9)

r=5(-9)

r=5(-9)

r=-45

9514 1404 393

Answer:

  decay; 8% decrease per time period

Step-by-step explanation:

The growth factor is the base of the exponential term. The growth rate is 1 less.

  growth rate = 0.92 -1 = -0.08 = -8%

When the growth rate is negative, it is exponential decay withe the amount of decrease equal to the magnitude of the rate.

A growth rate of -8% represents exponential decay, with a decrease of 8% per time period.

Answer: 1/35

Step-by-step explanation:

I just did the assignment on ck-12 and got it right.

The probability of removing 4 marbles without replacing and getting exactly 3 blue is 1/35.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

A bag contains 10 colored marbles - 4 red, 4 blue, and 2 green.

The probability of removing 4 marbles without replacing and getting exactly 3 blue.

= 1/35

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Answer:

Step-by-step explanation:

The base is 4 and the length is 8 b x l 8×4 =32

Answer:

y = 3x - 9    

Step-by-step explanation:

1) First, find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and substitute the x and y values of (0,-9) and (3,0) into the formula and simplify:

[tex]m = \frac{(0)-(-9)}{(3)-(0)} \\m = \frac{0+9}{3} \\m = 3[/tex]

So, the slope is 3.

2) Look at all the options. All the equations are in slope-intercept form since they are in a [tex]y = mx + b[/tex] format. Remember that [tex]m[/tex], or the coefficient of the x-term, is the slope. [tex]b[/tex], or the y-intercept, represents the y-intercept.

Knowing this, the answer must be [tex]y = 3x-9[/tex]. The number in place of [tex]m[/tex] is 3, which is the slope we just calculated. Also, since we know that the line passes through (0, -9), that must be the y-intercept since all points on the y-axis have an x-value of 0.

Answer:

42

Step-by-step explanation:

14/2= 7

21/3=7

6 x 7 = 42

Answer:

D.(1, -1, 2) hope this helps

Answer:

Well, After 5 years No interest you'd still have only 2,300 dollars in the bank.

But 5 years with interest you'd have 5750$ in the bank.

Step-by-step explanation:

With no interest, their is nothing added to your bank account, if you don't take anything away from it either then you'd still have the exact same amount.

With 2.5% monthly interest you'd get 3250$ because...5years * 12 months = 60 months...60 months * 2.5% = 150%...2,300$ + 150% = 5750$.

Answer:

Your answer is 15/8

Answer:

Q1: 48

Q2: 59

Step-by-step explanation:

Answer:

1. 48

2. 53

you can see that they are the same length as the one across from it so what the one across from it, is the answer

Answer:

5 + g

Step-by-step explanation:

The sum of 5 and g,

5 + g

Answer:

its the last one (d)

Step-by-step explanation:

Answer:aa

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A

W

W

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S

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W

Q

W

W

W

W

Step-by-step explanation:

A

Dsjsjshshsjwbwsjwbwhsjwnwhwjwjwjwb

Answer:

4 temp at 9 am

Step-by-step explanation:

At 1am temp=-6

At 5am temp=-1

5-1=4 hours and temp difference is -6+1=-5

so at 9 am temp will be -1+5=4

Answer:

34%

Step-by-step explanation:

99/150 = 0.66

1.00 - 0.66  = 0.34

34%

Answer:There is 48% of cans

Answer/Step-by-step explanation:

a. Circumference (C) = πd

d = 12 cm

π = 3.14

Exact value of C = π*12 = 12π cm

Approximate value of C = 12*3.14 = 37.68 cm

b. Circumference (C) = πd

d = 8 m

π = 3.14

Exact value of C = π*8 = 8π m

Approximate value of C = 8*3.14 = 25.12 m

c. Circumference (C) = πd

d = 6 km

π = 3.14

Exact value of C = π*6 = 6π km

Approximate value of C = 6*3.14 = 18.84 km

d. Circumference = πd

d = 9 ft

π = 22/7

Exact value of C = π*9 = 9π ft

Approximate value of C = 9*22/7 = 28.2857143 ≈ 28.29 ft (nearest hundredth)

e. Circumference = 2πr

r = 4 mm

π = 22/7

Exact value of C = 2*π*4 = 8π mm

Approximate value of C = 2*22/7*4 = 25.1428571 ≈ 25.14 mm (nearest hundredth)

f. Circumference = 2πr

r = 7 mi

π = 22/7

Exact value of C = 2*π*7 = 14π mi

Approximate value of C = 2*22/7*7 = 44 mi (nearest hundredth)

Answer:

11/12

Step-by-step explanation:

I am assuming the spinner is divided into 12 equal sectors and numbers 1-12 are written on them. Comment if I am wrong.

Spinning the 12 sided spinner, there is a 1/12 chance of spinning a specific number. So we take the opposite of that, which is 11/12. The chances of not rolling a two mean it comes out true if you roll numbers 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, and 12.

Answer:

105 R0

Step-by-step explanation:

Answer:

105, R=0

Step-by-step explanation:

525/5 = 105, no remainders in the answer as 525 is an exact multiple of 5

Answer:

50,800

Step-by-step explanation:

Answer: 1.39(1.006)^t

Step-by-step explanation:

The equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.

A statement that relates two unknown parameters such that one is dependent on the other is called a function.

It is given that

Initial population = 1.39 billion in 2013

Growth Rate = 0.6%

Let a represent the initial population

b is the growth rate

and 2 be the elapsed year from 2013

and let the population at any given year is P(t)

Then the equation formed is

P(t) = a * bⁿ

P(t) = 1.39 * ( 1.006)ⁿ

Therefore the equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.

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Answer:

44x + 54

Step-by-step explanation:

The nth term of an arithmetic sequence is given by :

Tn = a + (n - 1)d

d = common difference = T2 - T1

d = T2 - T1

a = first term = - x + 9

d = 4x + 14 - (-x + 9)

d = 4x + 14 + x - 9

d = 5x + 5

The 10th term:

T(10) = (-x + 9) + (10 - 1)*(5x + 5)

T(10) = - x + 9 + 9(5x + 5)

T(10) = - x + 9 + 45x + 45

T(10) = 44x + 54

Hence, the 10th term is 44x + 54

9514 1404 393

Answer:

  (b)  Function; The table follows the specific rules for being a function.

Step-by-step explanation:

The specific rule the table follows is that no input value is repeated. That is the only requirement for the relation to be a function.

Step-by-step explanation:

[tex]3x + 9 = 3( - 5) + 9 \\ = - 15 + 9 \\ = - 6[/tex]

3x+9 is equals to -6 , not more than based on the inequality, but it is lesser than 21.

However, the solution must fulfil both criteria to be a solution to the inequality. Therefore x = -5 is not a solution to the inequality.