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Paladinen [302]
3 years ago
10

Consider f(x) = bWhich statement(s) are true for 0 < b < 1? Check all that apply.

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

Answer:

The domain is all real numbers.

The function is always decreasing

Step-by-step explanation:

Assuming the given function is

f(x) =  {b}^{x}

for

0 \:  <  \: b \:  <  \: 1

Then f(x) is an exponential decay function.

This means that, the domain will be all real numbers.

The range will be y<0

The y-intercept is (0,-1)

There is no x-intercept.

The graph is a decreasing function.

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Find the equation of a line, in slope-intercept form, that is perpendicular to y = 2/3x + 4 and passes through (4, -1)
shutvik [7]
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5 0
3 years ago
50 point
Mariulka [41]

Answer:

put a dot

Step-by-step explanation:

shade at x 2 y4for 1 and 4  x4 y3 for 3 x5 y1 for 2

6 0
3 years ago
Which situation can be represented by the expression 3 + (-7) plus, left parenthesis, minus, 7, right parenthesis.
ioda

Options:

(A) . A football team lost 3 yards on one play. The team gained 7 yards on the next play.

(B ). A football team gained 3 yards on one play. The team lost 7 yards on the next play.

(C). A football team gained 3 yards on one play. The team gained 7 yards on the next play.

Answer:

(B ). A football team gained 3 yards on one play. The team lost 7 yards on the next play.

Step-by-step explanation:

Given

3 + (-7)

Required

Which situation does it represent?

First, we simplify the expression as follows:

3 + (-7)

Remove brackets

3 -7

Express each term with their signs

+3 -7

<u>Analysing each term;</u>

In terms of the list of given options,

+3 means a gain of 3 yards

-7 means a loss of 7 yards

<em>Hence, B. is correct</em>

5 0
3 years ago
Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, the chance a homeowner is ins
ollegr [7]

Answer:

P(X = 0) = 0.1897

P(X = 1) = 0.3910

P(X = 2) = 0.3021

P(X = 3) = 0.1038

P(X = 4) = 0.0134

Step-by-step explanation:

For each owner, there are only two possible outcomes. Either they are insured against an earthquake, or they are not. The probability of a homeowner being insured against an earthquake is independent of other homeowners. So the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Suppose that in one metropolitan area, the chance a homeowner is insured against an earthquake is 0.34.

This means that p = 0.34

A sample of four homeowners are to be selected at random.

This means that n = 4

(a) Find the probability mass function of X. (Round your answers to four decimal places.)

The pmf is the probability of each outcome.

So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{4,0}.(0.34)^{0}.(0.66)^{4} = 0.1897

P(X = 1) = C_{4,1}.(0.34)^{1}.(0.66)^{3} = 0.3910

P(X = 2) = C_{4,2}.(0.34)^{2}.(0.66)^{2} = 0.3021

P(X = 3) = C_{4,3}.(0.34)^{3}.(0.66)^{1} = 0.1038

P(X = 4) = C_{4,4}.(0.34)^{4}.(0.66)^{0} = 0.0134

8 0
3 years ago
Read 2 more answers
Ms. Boehmer's dog Stella weighs about 20.5 kilograms. How many grams does it<br> weigh?
Zarrin [17]

Answer:

20500

Step-by-step explanation:

Every kilogram is 1000 grams,

You would times 20.5 by 1000 to get

20500 grams.

8 0
3 years ago
Read 2 more answers
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