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3 years ago

11

Fine fare sells apple juice boxes in packages of 4 juice boxes for $2.00. What is the unit price of each juice box

1 answer:

Zinaida [17]3 years ago

4 0

Answer:

its 8 because if you do 4 times 2 equal 8

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A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piec

tiny-mole [99]

Answer:

The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.

Step-by-step explanation:

To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:

X + 3X + 4X = 40

8X = 40

X = 40/8

X = 5

Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.

8 0

2 years ago

At a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective pa

11Alexandr11 [23.1K]

Answer:

Probability that fewer than 2 of these parts are defective is 0.604.

Step-by-step explanation:

We are given that at a certain auto parts manufacturer, the Quality Control division has determined that one of the machines produces defective parts 19% of the time.

A random sample of 7 parts produced by this machine is chosen.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 7 parts

r = number of success = fewer than 2

p = probability of success which in our question is % of defective

parts produced by one of the machine, i.e; 19%

<em>LET X = Number of parts that are defective</em>

<u>So, it means X ~ Binom(n = 7, p = 0.19)</u>

Now, probability that fewer than 2 of these parts are defective is given by = P(X < 2)

P(X < 2) = P(X = 0) + P(X = 1)

= $\binom{7}{0}\times 0.19^{0} \times (1-0.19)^{7-0}+ \binom{7}{1}\times 0.19^{1} \times (1-0.19)^{7-1}$

= $1 \times 1 \times 0.81^{7} +7 \times 01.9^{1} \times 0.81^{6}$

= <u>0.604</u>

<em>Therefore, the probability that fewer than 2 of these parts are defective is 0.604.</em>

8 0

2 years ago

If Cody is draining his hot tub which holds 1,400 gallons of water at a rate of 27 gallons a minute, what impact will it have on

inessss [21]

Facts:

- tub has 1400 gallons

- draining at 27 gallons/minute

How much water will be left after 18 minutes?

We know that after 1 minute, there will be 27 gallons less.

So after 18 minutes, there must be 18 times less water.

27 x 18 = 486

This is how much water was lost in 18 min

So to find out how much he had left after <u>486 is subtracted.</u>

Therefore, the answer is A) -486 gallons

4 0

3 years ago

If the current in a circuit is 2 +j2 amps and the resistance is 3-j2 ohms, what is the voltage

victus00 [196]

Answer:

The voltage is 10 + 2j volts.

Step-by-step explanation:

Ohm's first law:

By Ohm's first law, the voltage is the multiplication of the current by the resistance, that is:

$V = R*i$

The voltage is measured in Volts, the current in amps and the resistance in ohms.

In this question:

Both the current and the resistance have complex parts. We have to know that:

$j^{2} = -1$

We have that:

$R = 3 - 2j, i = 2 + 2j$

Then

$V = R*i$

$V = (3 - 2j)*(2 + 2j)$

$V = 6 + 6j - 4j - 4j^{2}$

$V = 6 + 2j - 4(-1)$

$V = 10 + 2j$

The voltage is 10 + 2j volts.

4 0

3 years ago

A forest covers 43,000 acres. A survey finds that 0.7% of the forest is old-growth trees. How many acres of old-growth trees

Goryan [66]

Answer:

301 acres

Step-by-step explanation:

43,000 acres of forest

0.7% is old-growth

0.7% = 0.007

43,000 * 0.007 = 301 acres

7 0

2 years ago