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Anna [14]
3 years ago
7

Please help me look at the attached picture

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
5 0

Answer:

Q(-10) = 299

Step-by-step explanation:

Q(x) = 3x^{2} - 1Q(-10) = 3(-10)^{2} - 1

Q(-10) = 3(100) - 1  (-10 to the second power is 100 (negative times a negative equals a positive)

Q(-10) = 300 - 1  3 times 100 equal 300

Q(-10) = 299

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Help help math math math
Sergeu [11.5K]

Answer:

10

Step-by-step explanation:

substitute -8 into x.

f(-8)=-8+18=10

7 0
2 years ago
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
Marketing estimates that a new instrument for the analysis of soil samples will be very successful, moderately successful, or un
mylen [45]

Answer:

F(10) = P(x = 10) = 0.3

F(5) = P(x = 5) = 0.4

F(1) = P(x = 1) = 0.3

Step-by-step explanation:

Given the following :

Probability estimates given:

Very successful = 0.3

Moderately successful = 0.4

Unsuccessful = 0.3

Yearly revenue (X) :

Very successful = $10 million

Moderately successful = $5 million

Unsuccessful = $1 million

The probability mass function of X:

f(x) = probability of each valie of x

When x = 10:

F(10) = P(x = 10) = 0.3

When x = 5:

F(5) = P(x = 5) = 0.4

When x = 1:

F(1) = P(x = 1) = 0.3

5 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. The height of a baseball, in feet, is represented by this exp
Rudiy27

Answer:

31 feet.

Step-by-step explanation:

It is mentioned in the question that

Height of baseball expressed in feet

T = time in seconds

Also

h=  -16t^2+64t+3

Now the time is 3.5 so put this value to the above equation

h = -16(3.5)^2 + 64(3.5) + 3

= -16(2.25) + 224 + 3

= -196 + 227

= 31

Therefore the height of a baseball is 31 feet and the same is to be considered

7 0
3 years ago
In a class of 35 students, 19 take history and
saveliy_v [14]

Answer: 9

Step-by-step explanation:

If 19 students take history, 12 take economics and 5 take both:

19-5 = 14 students that take only history

12-5 = 7 students that take only economics

Therefore total number of students who either history, economics or history and economics: 14 + 7 + 5 = 26

Therefore students who take neither: 35 - 26 = 9

4 0
2 years ago
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