calculate the value of 36²-27²​

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:

-6387

Step-by-step explanation:

I have a feeling you're just giving away points :)

Answer:

c

Step-by-step explanation:

Answer:

G>48

Step-by-step explanation:

48/4=12

G/4>12

G>12x4=g>48

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:

Step-by-step explanation:

This means the price of the book will decrease by 100%-30%=70%

70% decrease in x = 100% of x - 70% of x = 1x - 0.7x = (1 - 0.7)x = 0.3x So 0.3x represents a 70% decrease in x.

Notice that this multiplier .3 is the same as (30% of x).

the answer is 0.3.

Answer:

Her profit would be $1.30

Answer:

A. 2,4,1,3

B. 2,1,3,4

C. 2,1,3,4

D. 1,2,4,3

Step-by-step explanation:

its always cell the simplest among the choices then tissue which is comprised of cells then organs which comprised of tissues and lastly the systems in our body that is comprised of organs

Answer:

S=sin −1 (1.8266968)=ERROR

No possible triangles

Step-by-step explanation:

Use this link to find your answer

https://lalinks.org/linksweb

Answer:

5.76

Step-by-step explanation:

Answer:

5.76 cm

Step-by-step explanation:

8% * 72 = 5.76 cm

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)

Answer:

y = -15

Step-by-step explanation:

Given that,

y varies directly as x i.e.

[tex]y\propto x\\\\y=kx[/tex]

Where

k is the constant of variation.

Put y = 12 and x = 4 to find k.

[tex]k=\dfrac{y}{x}\\\\k=\dfrac{12}{4}\\\\k=3[/tex]

Now put k = 3 and x = -5 and finding the value of y.

[tex]y=3\times -5\\\\y=-15[/tex]

So, the value of y is equal to -15.

Answer:

[tex]15.71cm[/tex]

Step-by-step explanation:

[tex]10 \: \: years = 3.142 \\ 50 \: years = x \\ \\ 10 = 3.142 \\ 50 = x \\ cross \: \: multiply \\ 10x = 50 \times 3.142 \\ 10x = 157.1 \\ x = 15.71cm[/tex]

hope this helps you

can I have the brainliest please?

Answer:

Step-by-step explanation:

Answer:

this is the answer hope it helps

Answer:

22.53-9.99=12.54

12.54 divided by 6 = 2.09

Each pencil costs $2.09

Step-by-step explanation:

every coordinate you are going to make a point for example the first which is (-1,4) the first number goes through the x-axis left to right if the number is negative it goes to the left so the -1 on the horizontal line, then the 4 is y-axis vertical line up and down, so take that point on -1 then go up 4

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Parallel lines.

We must first understand that, Parallel Lines always have a same Slope, hence the 'm' value in y=mx+c equation will same, here it is '1/2' in the above equation,

so the points here are (-6,-17)

==>

(y-(-17)) = m(x-(-6))

==>

here m = 1/2 ,hence

y+17 = 1/2(x+6)

==> y+17 = 1/2(x) + 3

==> y = 1/2(x) + 3 - 17

==> y = 1/2(x) - 14

hence the Option 4.) is the correct answer!!

Answer:

18: mean = 70.5

median = 76.5

range = 76

20:

mean = 70.83

median = 76.5

range = 76

84:

mean = 81.5

median = 79.5

range = 20

78:

mean = 80.5

median = 81

range = 20

81:

mean = 81

median = 80.25

range = 20

82.5:

mean = 81.5

median = 80.25

range = 20

Step-by-step explanation:

mean = average = sum of numbers / amount of numbers present

median = middle number (arranged least to greatest)

range = largest number - smallest number

Answer:

d=10.0002

Step-by-step explanation:

Given That:

Height=h=28 inches

Volume=V=732.7 cubic inches

Required:

Diameter of the base of the cone=d=?

Solution:

the formula for the volume of a cone is

re-arranging the terms to get the radius (r)

putting values, we get

to find the diameter we know that diameter is double of the radius so

d=2r

d-2(2.0051)

d=10.0002

Answer:

6ft

Step-by-step explanation:

The height is 6ft, because the 3 foot measurements are the width of the prism.

Answer: 0.1 ft longer

4/5 = 0.8

0.8 - 0.7 = 0.1

Answer:

The equation of the line is x = 2

Answer:

x = 2

Step-by-step explanation:

When you are given a straight line whether it's horizontal or vertical on a graph and is told to write it as an equation,

it can be a horizontal line, y = the number the line is on from the y-axis

or a vertical line, x = the number the line is on from the x-axis.

In this case you have a vertical line so the equation would be

x = the number the line is on from the x-axis, which is 2 so your final answer would be

x = 2

Answer:

[tex]e=0.8[/tex]

Step-by-step explanation:

[tex]\mathrm{Subtract\:}1.2\mathrm{\:from\:both\:sides}[/tex]

[tex]e+1.2-1.2=2-1.2[/tex]

[tex]e=0.8[/tex]