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prisoha [69]
3 years ago
13

Evaluate the variable expression xyz for the given values of x, y, and z. x = 4/5 , y = −15, z = 7/8

Mathematics
2 answers:
Georgia [21]3 years ago
7 0

Answer:

xyz = - 21 / 2

Step-by-step explanation:

xyz = (4/5)(-15)(7/8) = (4×-15×7)/(5×1×8)

= (4×-3×5×7)/(5×1×4×2)......    because:    15 = 5×3 and 8 = 4×2

xyz = - 21 / 2

Sav [38]3 years ago
6 0

Answer:

The answer is -10.5

Step-by-step explanation:

You can just simply multiply the numbers above.

xyz=(4/5)*(-15)*(7/8)=-10.5

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There are 10 balls in a bag numbered from to 10. Three balls are selected at random without replacement. a. How many different w
zhenek [66]

A) 30 possible combinations

B)1/10

4 0
3 years ago
A pair of pants was on sale for 40% off. The sale price of the pants was $18.00. What was the original price of the pants?
iragen [17]

Answer:

The original price of the pants was $30.

Step-by-step explanation:

Let x be equal to the original price of the pants.

Because the pants are 40% off, their final price was 60% of the original price. 60% as a decimal is 0.6. Using this information, we can set up the following equation and solve:

0.6x=18

Divide both sides by 0.6

0.6x/0.6=18/0.6

x=30

I hope this helps!

5 0
3 years ago
Not parallel to y=6x+2
bija089 [108]

Hello there! A line that is not parallel to the line given, y = 6x+2, would have a slope value other than 6.

This is because any lines with the same slope and different y-intercepts are parallel to each other, so for them to be not parallel, the slopes would have to be different.

Hope this helps, and have a great day! :)

3 0
3 years ago
At a certain coffee shop, all the customers buy a cup of coffee; some also buy a doughnut. The shop owner believes that the numb
Zinaida [17]

Answer:

a) 0.2514

b) No

c) 0.2611

Step-by-step explanation:

For coffee cups sold daily

Mean(μ) = 320 cups

Standard deviation (σ) = 20 cups

For doughnut sold daily

Mean(μ) = 150 doughnut

Standard deviation (σ) = 12 doughnut

Let X be the random variable representing the number of cups.

Let y be the random variable representing the number of doughnuts.

a) The shop is opened everyday except Sunday's. This means that the shop is opened 6 times in a week.

The probability that he will sell more 2000 cups of coffee in a week = Pr(x>2000)

Using normal distribution

Z = (x - μ)/σ

Z = (2000 - 6(320))/6(20)

Z = (2000 - 1920) / 120

Z = 80/120

Z = 0.67

From the normal distribution table, 0.67 = 0.2486

Φ(z) = 0.2486

Recall that if Z is positive,

Pr(x>a) = 0.5 - Φ(z)

Pr(x>2000) = 0.5 - 0.2486

= 0.2514

b) On each cup of coffee, he makes a profit of 50 cents and makes a profit of 40 cents on each doughnut. We have 0.5x + 0.4y

Z = (x - μ) / σ

Z = (300 - (0.5*320 + 0.4*150)) / √0.5^2*20^2 + 0.4^2*12^2

Z = (300 - (160+60)) / √100+23.04

Z = (300 -220)/√123.04

Z = 80/11.09

= 7.02

Since 300 is more than 7 standard deviation from the mean and the value of z cannot be found in the normal distribution table, then he has NO reasonable chance to earn a profit more than 300.

c) The probability that on any given day he will sell a doughnut to more than half of his coffee customers = Pr(y - 0.5x > 0)

From normal distribution,

Z = (x - μ) / σ

Z = (0 - (150 - 0.5*320)) / √12^2 + 0.5^2*20^2

Z = (0 - (150 - 160)) / √144 + 100

Z = (0 -(-10))/√244

Z = 10/15.62

= 0.64

From the normal distribution table, 0.64 = 0.2389

Φ(z) = 0.2389

Recall that if Z is positive,

Pr(x>a) = 0.5 - Φ(z)

Pr(y - 0.5x >0) = 0.5 - 0.2389

= 0.2611

6 0
3 years ago
(picture) Factoring Polynomials: GCF PLEASEE HELP!!!!!<br> a<br> b<br> c<br> d
kramer

For this case we must find the greatest common factor of both expressions, the GFC will be the greatest number that is a factor of both numbers, that is:

The number 4 is the greatest number that divides 32 and 12 resulting in a whole number.

\frac {32} {4} = 8\\\frac {12} {4} = 3

In addition, both expressions have as a common factor,a ^ 2:

4a ^ 2 (8a + 3)

Thus,32a ^ 3 + 12a ^ 2 = 4a ^ 2 (8a + 3)

Answer:

4a ^ 2 (8a + 3)

Option A


3 0
3 years ago
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