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iogann1982 [59]
3 years ago
9

How to simplify 24yz^5/32y^2z

Mathematics
1 answer:
Maurinko [17]3 years ago
8 0
24y*z^5/32y^2*z

24/32 = 3/4
y/y^2 = 1/y
z^5/z = z^4/1

Soo now that they are all simplified the answer is 3z^4/4y
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Transversal cuts parallel lines and at points X and Y respectively. The point nearest to C is X, and the point nearest to D is Y
hammer [34]

Answer:  The answer is (B) ∠SYD.


Step-by-step explanation: As mentioned in the question, two parallel lines PQ and RS are drawn in the attached figure. The transversal CD cut the lines PQ and RS at the points X and Y respectively.

We are given four angles, out of which one should be chosen which is congruent to ∠CXP.

The angles lying on opposite sides of the transversal and outside the two parallel lines are called alternate exterior angles.

For example, in the figure attached, ∠CXP, ∠SYD and ∠CXQ, ∠RYD are pairs of alternate exterior angles.

Now, the theorem of alternate exterior angles states that if the two lines are parallel having a transversal, then alternate exterior angles are congruent to each other.

Thus, we have

∠CXP ≅ ∠SYD.

So, option (B) is correct.

5 0
3 years ago
Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor
kenny6666 [7]

Answer:

a) 0.0167

b) 0

c) 5.948

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.08 ounces

We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) Standard deviation of 23 bags

\displaystyle\frac{S.D}{\sqrt{23}} = \frac{0.08}{\sqrt{23}} = 0.0167

b) P( fill volume of 23 bags is below 5.95 ounces)

P(x < 5.95)

P( x < 5.96) = P( z < \displaystyle\frac{5.95 - 6.16}{0.0167}) = P(z < -12.57)

= 1 - P(z < 12.57)

Calculation the value from standard normal z table, we have,  

P(x < 5.95) = 1 - 1 = 0

c) P( fill volume of 23 bags is below 6 ounces)  = 0.001

P(x < 6)  = 0.001

P( x < 6) = P( z < \displaystyle\frac{6 - \mu}{0.0167})

Calculation the value from standard normal z table, we have,  

P( z \leq -3.09) = 0.001

\displaystyle\frac{6 - \mu}{0.0167} = -3.09\\\\\mu = 6 + (0.0167\times -3.09) = 5.948

If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.

7 0
3 years ago
Arleen has a gift card for a local lawn and garden store. She uses the gift card to rent a tiller for 3 days. It costs $48 per d
MrRa [10]

Given :

Arleen has a gift card for a local lawn and garden store. She uses the gift card to . It costs $48 per day to rent the tiller. She also buys a rake for $5.

To Find :

The value on her gift card decreased by how many dollars.

Solution :

Decrease in dollar is given by :

D =\text{ rent a tiller for 3 days+ price of rake}\\\\D= \$( 48\times 3 + 5)\\\\D = \$149

Therefore, the value on her gift card decreased by 149 dollars.

Hence, this is the required solution.

5 0
3 years ago
A baker has 5 pounds of flour. How many cakes could the baker make with the flour if each cake takes 1 4 of a pound of flour?
IrinaVladis [17]
Total number of cakes = 5 ÷ 1/4
= 20.
7 0
3 years ago
Read 2 more answers
Ayy i need yals help with this
SOVA2 [1]

Answer:

The set {(1, 2), (2, -3), (3, 4), (4, -5)} represents y as a function of x

Step-by-step explanation:

SKATE OR DIE

8 0
3 years ago
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