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Kobotan [32]
3 years ago
15

A​ four-year study of various brands of bottled water found that 25​% of bottled water is just tap water packaged in a bottle. C

onsider a sample of sevenseven ​bottled-water brands, and let x equal the number of these brands that use tap water. Complete parts a through d.
a. Is x​ (approximately) a binomial random​ variable?
b. Give the probability distribution for x as a formula.
c. Find p(x = 2).
d. Find P(x <= 1).
Mathematics
1 answer:
finlep [7]3 years ago
8 0

Answer:

Answers below

Step-by-step explanation:

a. Is x​ (approximately) a binomial random​ variable?

b. Give the probability distribution for x as a formula.

c. Find p(x = 2).

d. Find P(x <= 1).

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Ashirt button has a diameter of 0.61 cm. Which of these is an approximate measurement of the circumference of the button?
Aleonysh [2.5K]

Answer:

1.92cm

Step-by-step explanation:

Circumference of a circle is computed using the formula:

C=2\pi r

Where:

r = radius

π = 3.14

Since the radius is the distance of the center of the circle from any point of the circle and the diameter is the measure of a straight line that goes across the center of the circle from one side to the other, radius is half of a diameter. So the diameter = 2r.

We can then use the diameter to solve for the circumference by using the formula"

C = \pi d

So we just plug in what we know in the formula:

C = \pi d\\\\C = (3.14)(0.61cm)\\\\C = 1.9154cm\cong1.92cm

3 0
3 years ago
How many pints are in 24 quarts
Phantasy [73]
48 Pints

Every 1 Quart equals 2 Pints

Hope this helps!
7 0
3 years ago
5) 5x-4= 20<br> у = 3х - 12<br> solve
vredina [299]

Answer:

Step-by-step explanation:

5x-4=20

5x=24: x=24/5

y=3x-12

y=3(24/5)-12

y = (72-60)/5

y=12/5

6 0
3 years ago
A line has a slope of -5 and passes through the point (2, 2). What is the equation for this line?
koban [17]
To determine the equation of the line, we use the point slope form equation for this problem. It is expressed as:

y - y1 = m(x - x1)

We substitute the given values in the problem to the equation.

y - 2 = -5(x - 2)
y = -5x +10+2
y = -5x +12 
4 0
3 years ago
A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to mo
den301095 [7]

This question is incomplete, the complete question;

A highway department executive claims that the number of fatal accidents which occur in her state does not vary from month to month. The results of a study of 193 fatal accidents were recorded. Is there enough evidence to reject the highway department executive's claim about the distribution of fatal accidents between each month? Month Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Fatal Accidents 11 13 22 11 15 29 15 9 13 15 22 18

Step 10 of 10 : State the conclusion of the hypothesis test at the 0.1 level of significance.

Answer: H₀ : The distribution of fatal accidents between each month is same

Step-by-step explanation:

H₀ : The distribution of fatal accidents between each month is same

H₁ : The distribution of fatal accidents between each month is different

Let the los be alpha 0.10

given data ;

       Observed    Expected  

Mon   Freq (Oi)   Freq Ei       (Oi-Ei)^2 /Ei

Jan      11    16.0833        1.606649

Feb      13    16.0833        0.591105

Mar      22    16.0833        2.176598

Apr       11    16.0833        1.606649

May     15    16.0833        0.072971

Jun     29    16.0833        10.373489

Jul     15    16.0833        0.072971

Aug       9    16.0833        3.119603

Sep      13    16.0833        0.591105

Oct      15    16.0833        0.072971

Nov      22    16.0833        2.176598

Dec      18    16.0833       0.228411

Total:   193     93                22.689119

Expected Freq ⇒ 193 / 12 = 16.08333

Test Statistic, x² : 22.6891

Num Categories: 12

Degrees of freedom: 12 - 1 = 11

Critical value X² : 24.725

P-Value: 0.0195

since Chi-square value < Chi-square critical value

and P-value > alpha 0.01 so we accept H₀

Therefore we conclude that the distribution of fatal accidents between each month is same

7 0
3 years ago
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