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3 years ago

1. If f(x) = 4x — 7 and , find each value: a. f(3) b. f(0)

Mathematics

2 answers:

KengaRu [80]3 years ago

5 0

A. f(3)=4(3)-7=5
b. f(0)=4(0)-7=-7
hope this helps!

kobusy [5.1K]3 years ago

3 0

Answer:

f(3)=5

f(0)= -7

Step-by-step explanation:

replace

4(3)-7

f(3)=5

f(0)=4(0)-7

f(0)=0-7

f(0)= -7

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Suppose on a certain planet that a rare substance known as Raritanium can be found in some of the rocks. A raritanium-detector i

aleksandrvk [35]

Answer:

0.967 = 96.7% probability the rock sample actually contains raritanium

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive reading

Event B: Contains raritanium

Probability of a positive reading:

98% of 13%(positive when there is raritanium).

0.5% of 100-13 = 87%(false positive, positive when there is no raritanium). So

$P(A) = 0.98*0.13 + 0.005*0.87 = 0.13175$

Positive when there is raritanium:

98% of 13%

$P(A) = 0.98*0.13 = 0.1274$

What is the probability the rock sample actually contains raritanium?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1274}{0.13175} = 0.967$

0.967 = 96.7% probability the rock sample actually contains raritanium

7 0

2 years ago

hoa [83]

Ann recipe produces the sandwiches with the most peanut butter flavor

Step-by-step explanation:

The given is:

1. Ann uses 12 1/4 ounces of peanut butter to make 50 1/2 Sandwiches

2. Ben uses 7 1/4 ounces of peanut butter to make 48 1/2

3. Cal uses 15 1/2 ounces of peanut butter to make 85 1/2 sandwiches

To find whose recipe produces the sandwiches with the most peanut

butter flavor we must find the quantity of butter per sandwich in each

recipe

∵ Ann uses 12.25 ounces of peanut butter to make 50.5 Sandwiches

- Divide the quantity of butter by the number of sandwiches

∵ 12.25 ÷ 50.5 = 0.2426 ounce per sandwich

Ann recipe produces the sandwiches with 0.2426 ounce per sandwich

∵ Ben uses 7.25 ounces of peanut butter to make 48.5 Sandwiches

- Divide the quantity of butter by the number of sandwiches

∵ 7.25 ÷ 48.5 = 0.1495 ounce per sandwich

Ben recipe produces the sandwiches with 0.1495 ounce per sandwich

∵ Cal uses 15.5 ounces of peanut butter to make 85.5 Sandwiches

- Divide the quantity of butter by the number of sandwiches

∵ 15.5 ÷ 85.5 = 0.1813 ounce per sandwich

Cal recipe produces the sandwiches with 0.1813 ounce per sandwich

∵ The greatest quantity of butter per sandwich is 0.2426 ounce

∴ Ann recipe produces the sandwiches with the most peanut

butter flavor

Ann recipe produces the sandwiches with the most peanut butter flavor

Learn more:

You can learn more about the rate in brainly.com/question/317616

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3 years ago

Why the great awakening was important to people?

katrin2010 [14]

Well is this like history

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3 years ago

Determine the roots of f(x) = -12-2.1x+18x^2-2.75x^3 graphically. in addition, determine the first root of the function with

vesna_86 [32]

The given function is that is a cubic polynomial

$f(x)=-12-2.1x+18x^2-2.75x^3$

when arranged in descending order that is from highest degree to lowest degree

$f(x)=-2.75x^3+18x^2-2.1x-12$

Since it is a three degree polynomial it has three roots.

According to rational root theorem , the possible roots of the above expression that is factors of $\frac{12}{2.75}$ = $\frac{48}{11}$ are $\pm1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 8, \pm 12, \pm 24, \pm 48, \pm\frac{1}{11}, \pm\frac{2}{11}, \pm\frac{3}{11}\pm\frac{4}{11}\pm\frac{6}{11},\pm\frac{8}{11},\pm\frac{12}{11}, \pm\frac{24}{11},\pm\frac{48}{11}$