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vova2212 [387]
3 years ago
9

Which value of y mAkes the equation below true. 3y+8-7y=11

Mathematics
1 answer:
victus00 [196]3 years ago
6 0
We have
3y+8-7y=11
First, we can combine like terms 3y and -7y to get -4y.
Then, we have-4y+8=11 We could then subtract 8 on both sides to get -4y=3
Finally,  we isolate y completely by dividing both sides by -4, to get
y=- \frac{3}{4}
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Find the comthon ratio of the geometric sequence 10,60, 360,...
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Which one of the following is NOT equal to the others?
irina1246 [14]

Answer:

.03

Step-by-step explanation:

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5 0
3 years ago
Read 2 more answers
An orange juice producer buys oranges from a large orange grove that has one variety of orange. The amount of juice squeezed fro
strojnjashka [21]

Answer:

a) 0.10565

b) The two values = 4.61712 and

4.78288

c) 4.64088

Step-by-step explanation:

The z score formula we use to solve when given a random number of samples=

The formula for calculating a z-score is is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ/√n is standard error

σ is the population standard deviation

n = random number of samples

a. What is the probability that the sample mean amount of juice will be at least 4.60 ounces?

z = (x-μ)/σ/√n

x = 4.60

μ = 4.70

σ = 0.40

n = 25

z = 4.60 - 4.70/0.40/√25

z = -0.10/0.40/5

z = -1.25

P-value from Z-Table:

P(x ≤ 4.60)

= P(x ≤ 4.60)

= P(z = -1.25)

= 0.10565

Therefore, the probability that the sample mean amount of juice will be at least 4.60 ounces is 0.10565

b. The probability is 70% that the sample mean amount of juice will be contained between what two values symmetrically distributed around the population mean?

The probability of 70% = 0.70

The z score for 0.70 = 1.036

This means, -1.036 and +1.036 gives a probability (0.70) or confidence level of 70%

We are to find x(raw score)

We solve using z score formula

For z = +1.036

z = (x-μ)/σ/√n

x = ?

μ = 4.70

σ = 0.40

n = 25

1.036 = x - 4.70/0.40/√25

1.036 = x - 4.70/0.08

Cross Multiply

1.036 × 0.08 = x - 4.70

0.08288 = x - 4.70

0.08288 + 4.70 = x

x = 4.78288

For z = -1.036

z = (x-μ)/σ/√n

x = ?

μ = 4.70

σ = 0.40

n = 25

-1.036 = x - 4.70/0.40/√25

-1.036 = x - 4.70/0.08

Cross Multiply

-1.036 × 0.08 = x - 4.70

-0.08288 = x - 4.70

-0.08288 + 4.70 = x

= 4.61712

Therefore, the two values = 4.61712 and

4.78288

c. The probability is 77% that the sample mean amount of juice will be greater than what value?

We are told to find the value that the sample mean is greater than

The z score for a P(x > z)

= P(x > 0.77)

= -0.739

Using z score formula, we find x first

z = (x-μ)/σ/√n

x = ?

μ = 4.70

σ = 0.40

n = 25

-0.739 = x - 4.70/0.40/√25

-0.739 = x - 4.70/0.08

Cross Multiply

-0.739 × 0.08 = x - 4.70

-0.05912 = x - 4.70

-0.05912 + 4.70 = x

x = 4.64088

Therefore, the value that the probability is 77% that the sample mean amount of juice will be greater than is 4.64088

5 0
3 years ago
You have ​$55 in your bank account. Each week you deposit $8 from your allowance and $15 from your paycheck. The equation b=55+(
scoundrel [369]
<h3>After 6 weeks from now you will have $190 in your bank account</h3>

<em><u>Solution:</u></em>

Given that,

You have ​$55 in your bank account

Each week you deposit $8 from your allowance and $15 from your paycheck

<em><u>The equation that gives the amount b in your account after w weeks is:</u></em>

b = 55 + (15 + 8)w

<em><u>How many weeks from now will you have $190 in your bank account ?</u></em>

b = 190

w = ?

Therefore,

190 = 55 + (15 + 8) w

190 = 55 + 23w

23w = 190 - 55

23w = 135

Divide both sides by 23

w = 5.869 \approx 6

Thus after 6 weeks from now you will have $190 in your bank account

7 0
3 years ago
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