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2 years ago

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1) The difference of twice a number and 14 is –37.

1 answer:

Ket [755]2 years ago

6 0

Answer:

2x - 14 = -37

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How many 2 thirds cups servings are in 4 cup container of food

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There are 6 2/3 cup servings in a 4 cup container.

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2 years ago

Fifty-three percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly sel

GarryVolchara [31]

Answer:

The unusual $X$ values for this model are: $X = 0, 1, 2, 7, 8$

Step-by-step explanation:

A binomial random variable $X$ represents the number of successes obtained in a repetition of $n$ Bernoulli-type trials with probability of success $p$ . In this particular case, $n = 8$ , and $p = 0.53$ , therefore, the model is ${8 \choose x} (0.53) ^ {x} (0.47)^{(8-x)}$ . So, you have:

$P (X = 0) = {8 \choose 0} (0.53) ^ {0} (0.47) ^ {8} = 0.0024$

$P (X = 1) = {8 \choose 1} (0.53) ^ {1} (0.47) ^ {7} = 0.0215$

$P (X = 2) = {8 \choose 2} (0.53)^2 (0.47)^6 = 0.0848$

$P (X = 3) = {8 \choose 3} (0.53) ^ {3} (0.47)^5 = 0.1912$

$P (X = 4) = {8 \choose 4} (0.53) ^ {4} (0.47)^4} = 0.2695$

$P (X = 5) = {8 \choose 5} (0.53) ^ {5} (0.47)^3 = 0.2431$

$P (X = 6) = {8 \choose 6} (0.53) ^ {6} (0.47)^2 = 0.1371$

$P (X = 7) = {8 \choose 7} (0.53) ^ {7} (0.47)^ {1} = 0.0442$

$P (X = 8) = {8 \choose 8} (0.53)^{8} (0.47)^{0} = 0.0062$

The unusual $X$ values for this model are: $X = 0, 1, 7, 8$

6 0

3 years ago

Read 2 more answers

Find the distance between the lines with equations -4x + 7y + 9 = 0 and y = 4/7x - 9

kiruha [24]

It’s 6.72 you add the two numbers

5 0

3 years ago

A triangle has side lengths of 12 inches 14 inches, and 18 inches. What best represents the perimeter of the triangle in centime

kotykmax [81]

Answer:

111.76 cm

Step-by-step explanation:

The formula for the perimeter of a triangle is given as:

Side A + Side B + Side C

Since our final answer is going to be in centimeters we have to convert the sides from inches to centimeters

Hence:

1 inch ~ 2.54 centimeters

For 12 inches

1 inch = 2.54 cm

12 inches = x

Cross Multiply

x = 12× 2.54 cm

x = 30.48 cm

For 14 inches

1 inch = 2.54 cm

14 inches = x

Cross Multiply

x = 14× 2.54 cm

x = 35.56 cm

For 18 inches

1 inch = 2.54 cm

18 inches = x

Cross Multiply

x = 18× 2.54 cm

x = 45.72 cm

Hence, the perimeter of the triangle

= 30.48 cm + 35.56 cm + 45.72 cm

= 111.76 cm

4 0

2 years ago

Find the Area of the figure below, composed of a rectangle and a semicircle.

Mamont248 [21]

Answer:

68.1 units²

Step-by-step explanation:

Start by finding the area of the rectangle...

$Area=lw\\Area=6*9\\Area=54$

Then, find the area of the semicircle...

$Radius=\frac{1}{2}*Diameter=\frac{1}{2}*6=3$

$Area=\frac{1}{2}\pi r^2\\Area=\frac{1}{2}\pi 3^2\\Area=\frac{1}{2}\pi 9\\Area=\frac{9}{2}\ pi\\Area\approx14.1$

Now, add the two to get...

54+14.1=68.1

3 0

2 years ago