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3 years ago

Please help!!!! 20 POINTS!

Mathematics

2 answers:

Anika [276]3 years ago

5 0

1 8 triangles

2. only 6,8,15

15 is more than 2 and less than 14 (6+8=14)( 8-6=2)

3 Not a triangle 11,15,25

11+15=26

26 is bigger than 25

german3 years ago

4 0

Answer:

8 triangles

Step-by-step explanation:

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on a lake, Carol rowed a boat for 1/8 mile. Then luke rowed the boat for 3/8 mile. how far did carol and like row in all? simpli

Semmy [17]

Answer:

$Total = \frac{1}{2}$

Step-by-step explanation:

Given

$Carol = \frac{1}{8}$

$Luke = \frac{3}{8}$

Required

How far did they row together

To do this, we simply add the distance they both covered.

$Total = Carol + Luke$

This gives;

$Total = \frac{1}{8} + \frac{3}{8}$

Take LCM

$Total = \frac{1+3}{8}$

$Total = \frac{4}{8}$

Simplify

$Total = \frac{1}{2}$

<em>Hence, they both rowed 1/2 mile</em>

7 0

2 years ago

Can someone help me its urgent:( ??

wariber [46]

Answer:

see the procedure

Step-by-step explanation:

Identify

Let

x ---> the cost of the Xbox one at Walmart

Strategy

we know that

The cost of the Xbox one at Walmart multiplied by 2 plus $50 must be equal to $450

Set up

The algebraic expression that represent this situation is

$450=2x+50$

Solve

solve for x

$450=2x+50$

$2x=450-50\\2x=400\\x=\$200$

Check

substitute the value of x in the equation

$450=2(200)+50$

$450=450$ ----> is ok

6 0

3 years ago

According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t

nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that 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.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that $p = 0.2$

Suppose that sixteen adults in the United States are selected randomly.

This means that $n = 16$

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

In which

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

$P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281$

$P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126$

$P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111$

$P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981$

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0

3 years ago

A manufacturer produces bearings, but because of variability in the production process, not all of the bearings have the same di

Lena [83]

Answer:

Proportion of all bearings falls in the acceptable range = 0.9973 or 99.73% .

Step-by-step explanation:

We are given that the diameters have a normal distribution with a mean of 1.3 centimeters (cm) and a standard deviation of 0.01 cm i.e.;

Mean, $\mu$ = 1.3 cm and Standard deviation, $\sigma$ = 0.01 cm

Also, since distribution is normal;

Z = $\frac{X -\mu}{\sigma}$ ~ N(0,1)

Let X = range of diameters

So, P(1.27 < X < 1.33) = P(X < 1.33) - P(X <=1.27)

P(X < 1.33) = P( $\frac{X -\mu}{\sigma}$ < $\frac{1.33 -1.3}{0.01}$ ) = P(Z < 3) = 0.99865

P(X <= 1.27) = P( $\frac{X -\mu}{\sigma}$ < $\frac{1.27 -1.3}{0.01}$ ) = P(Z < -3) = 1 - P(Z < 3) = 1 - 0.99865

= 0.00135

P(1.27 < X < 1.33) = 0.99865 - 0.00135 = 0.9973 .

Therefore, proportion of all bearings that falls in this acceptable range is 99.73% .

7 0

3 years ago

If ab= 7x-6 and bc= 12-2x. Then what does ac equal?

ra1l [238]

Ab = (7x-6) → b = (7x-6)/a (1)

bc = (12-2x) → b = (12-2x)/c (2)

Since (1) = (2) → (7x-6)/a = (12-2x)/c OR a/c = (7x-6)/(12-2x) (3)

Multiply both numerators of (3) by the SQUARE of their respective denominators;

(a*c²)/c = (7x-6)(12-2x)²/(12-2x)
Now simplify:

ac = (7x-6)(12x-2x) or ac = -14x² + 96x - 72

4 0

3 years ago