Fort his problem what is the correct answer?

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:

not sure about second, but one is the 30, 60, 90 angle triangle. That one i'm 100 percent sure of (30, 60, 90).

Step-by-step explanation:

Answer:

4(x+3)

Step-by-step explanation:

So with the distrubutive property, you look at the numbers you have, and then take the greatest common factor between the two.

So lets think about it, what goes into both 12 and 4?

2 does, but is that the greatest common factor? No.

What about 4? That goes into 12 and 4. Is it the greatest common factor? Yup it is.

So, what do we get when we take 4 from 4x? We get 1x, or just x.

How about 12? Well, when we take 4 from 12, we get 3.

Now, lets take the common greatest factor, and our two new numbers and put them back into the expression.

Remember that the greatest common factor, the one you took from the other numbers, is what goes first:

4()

Remember to put the parethese there, or else you would only be multiplying the first number by 4, and not the second.

Next lets put the other numbers in. In most expressions, you should put the x number in first, and the normal number in second. So it should now be:

4(x+3)

This is your expression.

Hope this helps! ;)

9514 1404 393

Answer:

  4(3 +x)

Step-by-step explanation:

The greatest common factor is 4, so any divisor of that can be factored out:

  12 +4x = 2(6 +2x) = 4(3 +x)

Step-by-step explanation:

50°+50°+θ=180°

θ=180°-100°

θ=80°

Answer:

80 or b....................................

Answer:

30

Step-by-step explanation:

50% is equivalent to 0.5 or 1/2. To find how many of the shoe options are sneakers, we multiply the total number of shoe options (60) by 0.5 to get 30.

Answer:

22.53-9.99=12.54

12.54 divided by 6 = 2.09

Each pencil costs $2.09

Answer:

−

2

3

,

−

6

,

1

9

,

32.5

%

,

2.74

,

4

2

Step-by-step explanation:

9514 1404 393

Answer:

  $4717.30

Step-by-step explanation:

Assuming the interest is capitalized only at the start of repayment, the accrued interest is ...

  I = Prt

  I = ($29,300)(0.0322)(4 +1) = $4717.30

The accrued interest is $4717.30.

i don't now all of them but

3.is "A"

4.is "C"

* By definition, the sum of the interior angles of a triangle is 180 degrees.  

* Keeping this in mind, you have:

As you can see, the sum of the other two angles must be 108 degrees, then, let's add the angles given in each option:

A) 9°+9°=18

B) 26°+46°=72°

C)53°+55°=108°

D)72°+108°=180°

*Therefore, the answer is option C.  

5.is "B"

A triangle is called a right triangle when one of it's angles measures 90°.

We have been given the second angle as 14°.

The angles in a triangle add up to 180°.

∴ letting the third angle to be X;

X + 14° + 90° = 180°

X + 104° = 180°

X = 180° - 104°

= 76°

7. the answer is "B"

A = 41 * 14 / 2

A = 574 / 2

A = 287 cm²

So, the area of the trapezoid is 287 cm².

9. is "B"

Area = base x height

Or 356.25=14.25 x Height

Dividing both sides by 14.25

Height =25inches

.Height of the parallelogram is 25 inches. the answer is "B"

10.is "B"

the sum of any 2 sides of a triangle must be greater than the third side

Answer: 1.25

Step-by-step explanation:

Given: A college-entrance exam is designed so that scores are normally distributed with a mean[tex](\mu)[/tex] = 500 and a standard deviation[tex](\sigma)[/tex] =  100.

A z-score measures how many standard deviations a given measurement deviates from the mean.

Let Y be a random variable that denotes the scores in the exam.

Formula for z-score = [tex]\dfrac{Y-\mu}{\sigma}[/tex]

Z-score = [tex]\dfrac{625-500}{100}[/tex]

⇒ Z-score = [tex]\dfrac{125}{100}[/tex]

⇒Z-score =1.25

Therefore , the required z-score = 1.25

Answer:

B

Step-by-step explanation:

Hope I helped! I tried my best.

Answer:

B

Step-by-step explanation:

Answer:

you have to give is more than that

Step-by-step explanation:

mb 27

Answer:

the length of BE is 27 units

Step-by-step explanation:

Answer:

Its how you represent a number. Less than a whole number.

Step-by-step explanation:

Answer:

.......................

Step-by-step explanation:

Answer:

5.76

Step-by-step explanation:

Answer:

5.76 cm

Step-by-step explanation:

8% * 72 = 5.76 cm

Answer:

Her profit would be $1.30

Answer:

It's close between Y and Z, but I'd go with Z

Step-by-step explanation:

[tex]-\sqrt{5}[/tex]≈-2.2360679775

Answer:

G>48

Step-by-step explanation:

48/4=12

G/4>12

G>12x4=g>48

Answer:

c

Step-by-step explanation:

Answer:

The mean absolute deviation is 2.4

Step-by-step explanation:

Answer:

It doesn't.

Step-by-step explanation:

If you plug in 6 in the x spots you will have:

If you solve that, you will get:

So considering that they are the same number, this doesn't make sense because it should be an equal sign.

Have a nice day!!! Please mark Brainliest!

Answer:

I'm sorry but the document says "doesn't exist".

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

Answer:

Step-by-step explanation:

Answer:

this is the answer hope it helps

Answer:25

Step-by-step explanation:

cur figure up into two small triangles, one recrtangle and a big triangle