It has been hypothesized that allergies result from a lack of early childhood exposure to antigens. If this hypothesis were true, then we would expect allergies to be more common in very hygienic households with low levels of bacteria and other infectious agents. To test this theory, researchers at the University of Colorado sampled the houses of 61 children 9-24 months old and recorded two variables: (1) whether the child tested positive for allergies and (2) the concentration of bacterial endotoxin in the house dust.

Required:
a. Plot a histogram of bacterial endotoxin levels.
b. Test whether the observed difference in endotoxin levels between the "sensitive" and normal"

Answer:

Interest = [tex] \boxed{\$ 789.75} [/tex]

Explanation:

Interest [I] = principle × rate × time [prt]

______________________________

x% = x/100

a b/c = a + (b/c) = (ac + b) / c

______________________

I = prt

I = ($1,950)(4 ½%)(9)

I = ($1,950)(0.045)(9)

I = ($87.75)(9)

I = ($789.75)

I = $789.75

Answer:

1

Step-by-step explanation:

every single thing to the power of 0 is 1

Answer:

0

Step-by-step explanation:

Answer:

14) ∠CBE = 118°  supplementary to 62°

15) ∠ABF = 28°  complementary to 62°

16 ∠CBA = 152° because it is vertical to ∠DBF

Step-by-step explanation:

14) ∠CBE = 180° - 62° = 118°

15) ∠ABF = 90° - 62° = 28°

16) ∠DBF = 90°+ 62° = 152°

    ∠CBA = ∠DBF

Step-by-step explanation:

C = root of 7^2 + 4^2

= 8.06

Ans = A

Answer:

Answer is B

Step-by-step explanation:

Answer:

Divide both with 3.

12/3 = 4x

-3 divided by 3 = -1.

You end up with 4x-1 which is the final simplification.

Step-by-step explanation:

Answer:

This is your answer ☺️☺️☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

It was so easy xD

its x=1

y=12×1+7

y=-6×1+25

=19

Answer:

2. 8x=56

divide both sides of the equation by 8

8x divided by 8=56 divided by 8

any expression divided by itself equals 1

x=56 divided by 8

calculate the quotient

x=7

3. 918 divided by 3= 306

4. answer is 5/21

5&6 not sure

7. inches

8. not sure

Answer:

Q1. 4.5

Q2. 7

Q3. 306

Q4. 5/21

Q5. B. Cube

Q6. AEC and BED

Step-by-step explanation:

1. I found what 8*18 was, then I just divided that by 32 to find the missing value.

2. You want to reverse it and then solve so 56/8=7.

3. You can use a calculator for this 918/3=306

4. This you'd want to get the common denominators for each so just convert.

4/7*3/3=12/21

1/3*7/7=7*21

now just solve 12/21-7/21=5/21

5. Cube, there are 6 faces that are squares on it.

6. Acute angles are angles that are smaller than 90 degrees.

7. Feet, beds are long so feet are the best. Inches would be too little, miles are way too much, and gallons aren't even the right measuring unit.

8. So prime numbers are numbers that can only be divided by 1 and themselves so 1 is a prime number because if you divide 1 by 2 you get a fraction. So now we just want to find the prime numbers in this set.

1 is prime

2 is prime

3 is prime

4 is not prime; 4/2=2 whole number

5 is prime

this means that 4/5 numbers are prime, and 4/5=0.8 or 80%.

Hopefully, this helped you understand, feel free to lmk if you have any questions, and have a good day.

Answer:

9.32millimetres

10. 7inches

Step-by-step explanation:

9. r=½diameter

r=½×64

r=32

10. volume=length×width×height

336=6×8×h

336=48h

h=336/48

h=7

Answer:

-33

Step-by-step explanation:

27-(-3)=30

-3-30=-33

Answer:

I think it's C

Step-by-step explanation:

Hope this helps you

Answer:

4 weeks

Step-by-step explanation:

To find the answer, we have to look at the weeks that follow to see if they have the same amount of money.

Week 1

Math: $30

Science: $55

Week 2

Math: $40

Science: $60

Week 3

Math: $50

Science: $65

Week 4

Math: $60

Science: $70

Hope this helped!

Stay safe <3

Answer:

A the answer is A ^w^ hope this helps

Answer:

15

Step-by-step explanation:

Answer:

It says 15 18 is correct

Step-by-step explanation:

Answer:  1.42 x 10^5

Step-by-step explanation:

Scientific Notation usually express in the form of [tex]c* 10x^{n}[/tex], where c is between 1 and 9.

142000

= 1.42 x 10^5

Answer:

2) false, no

3) true, yes

4) false, no

5) true, yes

Answer:

NO POSSIBLE TRIANGLES

Step-by-step explanation:

Answer:

no possible triangles

Step-by-step explanation:

Answer:

Round to the nearest hundredth.

Answer:

160.57

Step-by-step explanation:

The formula is:

[tex]angle/360 *\pi *radius^2[/tex]

Because you find the total area of the circle, but the sector only represents NPQ/360 so you have to multiply the area with that.

[tex]46/360 * \pi *20^2[/tex] = [tex]23/180 * \pi *400[/tex]

= [tex]160.57029...[/tex]

Rounded to the nearest hundredth this would be 160.57

Answer:

158%

Step-by-step

$15.50 - $6 = $9.50 < Profit

Now To find The Percentage of the markup on the lip gloss?

You Divide $9.50  by $6 And You Will Get This 1.58333333333

For A Percent You Move The Decimal Point Back Two Spots And You Get

158%

I Hope You Understand and i hope i helped you

Answer: C

Step-by-step explanation:

Answer:

Me puedes informar mas?

Answer:

1.56 is greater than 1.29. (Check after the decimal point, 5 is greater than 2, so 1.56 is greater than 1.29)

Answer:

I believe that 1.56 is grater than 1.29.

hope this helps.

Answer:

E[T] = 10

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distribution has two bounds, a and b, and the expected value of the uniform distribution is given by:

[tex]E = \frac{a+b}{2}[/tex]

Uniformly distributed between 0 and 20 minutes.

This means that [tex]a = 0, b = 20[/tex]

Let T be the number of minutes you wait until you board a bus. Find E[T].

This is

[tex]E[T] = \frac{a + b}{2} = \frac{0 + 20}{2} = 10[/tex]

E[T] = 10

Answer:

a) 0.0618 = 6.18% probability that the sample will contain at least three defectives.

b) 0.076 = 7.6% probability that the sample will contain at least three defectives

Step-by-step explanation:

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.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Sample of 20 items is selected from the machine.

This means that [tex]n = 20[/tex]

5% defectives

This means that [tex]p = 0.05[/tex]

(a) the normal approximation to the binomial

The mean is:

[tex]\mu = E(X) = np = 20*0.05 = 1[/tex]

The standard deviation is:

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.05*0.95} = 0.9747[/tex]

The probability is, using continuity correction, [tex]P(X \geq 3 - 2.5) = P(X \geq 2.5)[/tex] , which is 1 subtracted by the pvalue of Z when X = 2.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{2.5 - 1}{0.9747}[/tex]

[tex]Z = 1.54[/tex]

[tex]Z = 1.54[/tex] has a pvalue of 0.9382

1 - 0.9382 = 0.0618

0.0618 = 6.18% probability that the sample will contain at least three defectives.

(b) the exact binomial tables

This is:

[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]

In which

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

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

[tex]P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.358[/tex]

[tex]P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.377[/tex]

[tex]P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.189[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.358 + 0.377 + 0.189 = 0.924[/tex]

[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.924 = 0.076[/tex]

0.076 = 7.6% probability that the sample will contain at least three defectives

Answer:

uhhhhhhhhh help with what ?

Answer:

a=4

b=5

Step-by-step explanation:

Answer:

To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!