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3 years ago

16) The manager of a bulk foods establishment sells a trail mix for $8 per

Mathematics

1 answer:

zaharov [31]3 years ago

5 0

Answer:

The amount of peanuts to use is 5 pounds and that of cashews is 30 pounds.

Step-by-step explanation:

Let the amount of peanut to use to be x

Let the amount of cashews to use to be 35-x

Form equations to compare amounts for individual foods and the mixture

$8x+15(35-x)=35(14)\\\\8x+525-15x=490\\\\7x=35\\\\x=5\\\\$

So the pounds to be used for peanuts is 5 pounds

The pounds to be used for cashews will be 35-x= 35-5=30 pounds

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ValentinkaMS [17]

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3 years ago

Read 2 more answers

If you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select i

SashulF [63]

Answer:

0.1538

Step-by-step explanation:

There are 8 cards that are either 2s or Ks.

P(2 or K) = 8/52

P(2 or K) = 0.1538

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2 years ago

Find the amplitude, period, and phase shift of the function.

Softa [21]

Cosine is transformed in the form:

$f(x)=a\cos(b(x-c))+d$

The amplitude is a

The period of cosine is:

$\frac{2\pi}{b}$

And the phase shift is always by c, so that means our transformed functon in the form mentioned above looks like:

$f(x)=3\cos{(3(x-\frac{\pi}{6}}))+1$

So our period is $\frac{2\pi}{3}$

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and our amplitude is 3.

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2 years ago

Write an equation that represents the line.

irinina [24]

Answer:

y = 7/5x + 7

Step-by-step explanation:

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2 years ago

An automobile manufacturer is concerned about a possible recall of its best selling four-door sedan. If there was a recall there

goldfiish [28.3K]

Complete question is;

An automobile manufacturer is concerned about a possible recall of its best - selling four-door sedan. If there were a recall, there is a probability of 0.25 of a defect in the brake system, 0.18 of a defect in the transmission, 0.17 of a defect in the fuel system, and 0.40 of a defect in some other area.

(a) What is the probability that the defect is the brakes or the fueling system if the probability of defects in both systems simultaneously is 0.15?

(b) What is the probability that there are no defects in either the brakes or the fueling system?

Answer:

A) 0.27

B) 0.73

Step-by-step explanation:

Let B denote that there is a defect in the break system

Let T demote that there is a defect in transmission

Let F denote that there is a defect in the fuel system.

Let P denote that there is a defect in some other area.

Now, we are given;

P(B) = 0.25

P(T) = 0.18

P(F) = 0.17

P(O) = 0.40

A) We are given that probability of defects in both brakes and the fueling system simultaneously is 0.15.

Thus, it means; P(B ⋂ F) = 0.15

Now, we want to find the probability that the defect is the brakes or the fueling system. This is expressed as;

P(B ⋃ F) = P(B) + P(F) - P(B ⋂ F)

Plugging in the relevant values to give;

P(B ⋃ F) = 0.25 + 0.17 - 0.15

P(B ⋃ F) = 0.27

B) We want to find the probability that there are no defects in either the brakes or the fueling system.

This is expressed as;

P(B' ⋃ F') = 1 - P(B ⋃ F)

Plugging in relevant value;

P(B' ⋃ F') = 1 - 0.27

P(B' ⋃ F') = 0.73

7 0

2 years ago