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erica [24]
2 years ago
14

Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7

pints of cut fruit. The food cost is modeled by the equation 5 v plus 7 f equals 28.70, where v represents the cost of one pint of cut veggies and f represents the cost of one pint of cut fruit. If the cost of each pint of fruit is $2.85, what is the approximate price of a pint of veggies?
Mathematics
1 answer:
AlexFokin [52]2 years ago
6 0

Answer:

(7 x 2.85) + 5v = 28.70. 19.95 + 5v = 28.70. 5v = 28.70 - 19.95. 5v = 8.75. v = 8.75/5. v = 1.75. A pint of veggies costs $1.75.

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The sum of two consecutive even integers divided by four is 189.5
Andre45 [30]
The sum of two consecutive even integers is a+(a+2) and divided by four is
(a+(a+2))/4 = 189.5
(2a+2)/4 = 189.5
2a+2 = 189.5 * 4
2a+2 = 758
2a = 758 - 2
2a = 756
a = 756/2 = 378
first number is a = 378
second number is a+2 = 378+2 = 380
6 0
2 years ago
A coin will be flipped repeatedly until the sequence TTH (tail/tail/head) comes up. Successive flips are independent, and the co
padilas [110]

Answer:

P = \frac{1}{3}

Step-by-step explanation:

The calculation of the value of p minimizes is shown below:-

We will assume the probability of coming heads be p

p(H) = p

p(T) = 1 - P

Now, H and T are only outcomes of flipping a coin

So,

P(TTH) = (1 - P) = (1 - P) (1 - P) P

= (1 + P^2 - 2 P) P

= P^3 - 2P^2 + P

In order to less N,TTH

we need to increase P(TTH)

The equation will be

\frac{d P(TTH)}{dP} = 0

3P^2 - 4P + 1 = 0

(3P - 1) (P - 1) = 0

P = 1 and 1 ÷ 3

For P(TTH) to be maximum

\frac{d^2 P(TTH)}{dP} < 0 for\ P\ critical\\\\\frac{d (3P^2 - 4P - 1)}{dP}

= 6P - 4

and

(6P - 4) is negative which is for

P = \frac{1}{3}

5 0
2 years ago
Andrew invested $20,000 in mutual funds and received a sum of $35,000 at the end of the investment period. Calculate the ROI.
mario62 [17]
Answer: $15,000

As $35,000-$20,000=$15,000.

That's basically the profit he had made, or the return on his investment (ROI).

As he already had $20,000, he had "only" made $15,000.
5 0
2 years ago
Frank Fitness found a correlation coefficient of -0.74 between hours of strenuous exercise each week and a standard measure of b
Evgen [1.6K]

Answer:

b. strong; negative

Step-by-step explanation:

When a correlation has a value greater than 0.74 or lesser than -0.70, it is classified as a strong correlation.

A negative value for a correlation means a negative (downhill) linear correlation.

Therefore, since the correlation coefficient found by Frank Fitness is -0.74, there is a strong and negative relationship between hours of strenuous exercise and body mass.

8 0
2 years ago
Sonia rolls a six-sided number cube 12 times and records if she rolls a 2. What is the number of trials for this binomial experi
Anarel [89]
<span>In the binomial experiment, the number of times the six-sided cube was rolled is the number of trials. Thus the number of trials for this binomial experiment is 12. The formular for a binomial experiment is nCx (p)^x (q)^(n - x) where: n is the number of trials, x is the success event, p is the probability of success, q is the probability of failure.</span>
7 0
2 years ago
Read 2 more answers
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