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1 year ago

7

mr.spencer has 7 1/5 liters of juice he wants to pour equal amounts of juice into 3 punch bowls how many liters of juice should

he pour in each bowl?

1 answer:

Thepotemich [5.8K]1 year ago

3 0

Answer:

2.4

Step-by-step explanation:

1/5=0.2

7.2/3=2.4

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Solve by using a matrix.

xenn [34]

The answer is d. q=10 d=28 n=14

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2 years ago

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7.109) The leading brand of dishwasher detergent has a 30% market share. A sample of 25 dishwasher detergent customers was taken

Rina8888 [55]

Answer:

0.9021 = 90.21% probability that 10 or fewer customers choose the leading brand

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they choose the leading brand, or they do not. The probability of a customer choosing the leading brand is independent of any other customer, which means that the binomial probability distribution is used 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.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The leading brand of dishwasher detergent has a 30% market share.

This means that $p = 0.3$

A sample of 25 dishwasher detergent customers was taken.

This means that $n = 25$

a. What is the probability that 10 or fewer customers choose the leading brand?

This is:

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{25,0}.(0.3)^{0}.(0.7)^{25} = 0.0001$

$P(X = 1) = C_{25,1}.(0.3)^{1}.(0.7)^{24} = 0.0014$

$P(X = 2) = C_{25,2}.(0.3)^{2}.(0.7)^{23} = 0.0074$

$P(X = 3) = C_{25,3}.(0.3)^{3}.(0.7)^{22} = 0.0243$

$P(X = 4) = C_{25,4}.(0.3)^{4}.(0.7)^{21} = 0.0572$

$P(X = 5) = C_{25,5}.(0.3)^{5}.(0.7)^{20} = 0.1030$

$P(X = 6) = C_{25,6}.(0.3)^{6}.(0.7)^{19} = 0.1472$

$P(X = 7) = C_{25,7}.(0.3)^{7}.(0.7)^{18} = 0.1712$

$P(X = 8) = C_{25,8}.(0.3)^{8}.(0.7)^{17} = 0.1651$

$P(X = 9) = C_{25,9}.(0.3)^{9}.(0.7)^{16} = 0.1336$

$P(X = 10) = C_{25,10}.(0.3)^{10}.(0.7)^{15} = 0.0916$

Then

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0001 + 0.0014 + 0.0074 + 0.0243 + 0.0572 + 0.1030 + 0.1472 + 0.1712 + 0.1651 + 0.1336 + 0.0916 = 0.9021$

0.9021 = 90.21% probability that 10 or fewer customers choose the leading brand

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2 years ago

The coordinates of point 7 are given. The midpoint of ST is (5. - 8). Find the coordinates of point S.

Mamont248 [21]

Answer:

S(0, 2)

Step-by-step explanation:

Midpoint Formula: $(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )$

Step 1: Plug in known variables

5 = (10 + x)/2

-8 = (18 + y)/2

Step 2: Solve

10 = 10 + x

x = 0

-16 = 18 + y

y = 2

Step 3: Write coordinates

(0, 2)

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3 years ago

What else would need to be congruent to show that JKL= MNO by AAS?

taurus [48]

Answer: Choice B) Angle L = Angle O

---------------------------------------------------
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If we know that Angle L is congruent to Angle O, then we can use the AAS (angle angle side) congruence property. We have one pair of angles marked by the square marker (angle J and angle M). So they are congruent angles. We have a pair of congruent sides JK = MN = 3. So we're just missing a pair of angles.

Note: The answer is NOT angle K = angle N because this would mean ASA would be used instead of AAS. The order of the letters is important as it establishes how the sides and angles relate. With ASA, the side is between the angles. With AAS, the side is not between the angles.

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2 years ago

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Ava, Natalie, Esraa, and Savannah are all running a race. Each girl finishes at a different time. Ava finishes the race in 12.89

gayaneshka [121]

Natalie

Step-by-step explanation:

Esraa finishes in 12.2 secons making her first.

natalie finishes in 12.34 seconds making her second.

Ava finishes in 12.89 making her third.

and Savannah finishes in 12.988 seconds making her last.

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2 years ago