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3 years ago

Which number line shows all the values of that make the inequality - 3x +1 < 7 true?

Mathematics

1 answer:

Yakvenalex [24]3 years ago

5 0

Answer:

Step-by-step explanation:

First, simplify the equation.

-3x+1<7

-3x<6

x>-2 (the sign flips because you are dividing by negative)

> means x is greater than -2 so the line will go towards the right.

Because the sign is >, the dot is open.

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Bryce randomly chooses a card from a standard deck of 52 containing 13 of each suit. He records the suit of each card in the tal

Nikolay [14]

Answer:

52 cards / 4 suits = 13 cards of each suit.

Theoretically picking a heart would be 13/52 = 1/4 probability.

Experimentally she picked 15 hearts out of 80 total tries. for a 15/80 = 3/16 probability, which is less than the theoretical probability.

1/4 - 3/16 = 1/16

The answer is A.

Step-by-step explanation:

The right answer is A - The theoretical probability of choosing a heart is StartFraction 1 over 16 EndFraction greater than the experimental probability of choosing a heart

3 0

3 years ago

An investor plans to invest $500 a year and expects to get a 10.5% return. If the investor makes these contributions at the end

taurus [48]

The present value of the investment is $6000.

According to the statement

Principal amount = $500

and Return amount = 10.5%

Time period = 20 years.

Now we find the present value of money then

By the formula

PV = P[1-(1+r)^n]/r

PV = 500[1-(1+0.10)^20]/0.10

PV = 6000

So, The present value of the investment is $6000.

Learn more about Return Amount here brainly.com/question/2456547

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4 0

1 year ago

Where the numerator is larger than the denominator

gregori [183]

A fraction with a numerator that is greater than or equal to the denominator is known as an improper fraction.

4 0

3 years ago

Read 2 more answers

Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some form of technology to find th

Digiron [165]

Answer:

$P(X = 0) = 0.0263$

$P(X = 1) = 0.1407$

$P(X = 2) = 0.3012$

$P(X = 3) = 0.3224$

$P(X = 4) = 0.1725$

$P(X = 5) = 0.0369$

Step-by-step explanation:

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.

In this problem we have that:

$n = 5, p = 0.517$

Distribution

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

$P(X = 0) = C_{5,0}.(0.517)^{0}.(0.483)^{5} = 0.0263$

$P(X = 1) = C_{5,1}.(0.517)^{1}.(0.483)^{4} = 0.1407$

$P(X = 2) = C_{5,2}.(0.517)^{2}.(0.483)^{3} = 0.3012$

$P(X = 3) = C_{5,3}.(0.517)^{3}.(0.483)^{2} = 0.3224$

$P(X = 4) = C_{5,4}.(0.517)^{4}.(0.483)^{1} = 0.1725$

$P(X = 5) = C_{5,5}.(0.517)^{5}.(0.483)^{0} = 0.0369$

6 0

3 years ago

Jake is arranging a poetry reading. There will be 6 poets. The reading should run 90 minutes. Each poet will read for the same l

valentinak56 [21]

Answer:

Each poet reads for exactly 15 minutes.

Step-by-step explanation:

If it should run for 90 minutes, and there is 6 poets, therefore I'm pretty sure you divide 90 by 6, which is 15.

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3 years ago

Read 2 more answers

Which number line shows all the values of that make the inequality - 3x +1 < 7 true? ​

Which number line shows all the values of that make the inequality - 3x +1 < 7 true?