What is 5(4+8c) Need Help

Write an equation for 5x + 2 = -4 - 7

kenny6666 [7]

Answer:

x = -2 3/5

Step-by-step explanation:

6 0

3 years ago

Which story represents the graph below?

-BARSIC- [3]

Answer:

c. both

Step-by-step explanation:

6 0

3 years ago

An angle measures 58.6° less than the measure of its complementary angle. What is the

Nikitich [7]

Answer:

Your answer is 31.4°.

Step-by-step explanation:

The answer itself just requires very simple thinking. Complementary angles are any two angles that add up to 90 degrees. We are given ANGLE<1, so all we have to do is subtract 90 from 58.6 to find ANGLE<2.

90°-58.6°= 31.4°

Please mark brainilest if this is the most helpful answer.

6 0

3 years ago

Mark, Yolanda, Jaime, and Sharon are four friends who decided to meet each other in Charleston on Friday to tour the city for a

coldgirl [10]

Answer:

Mark

Step-by-step explanation:

<u>Concepts + Application</u>

The velocity, in this case, is the speed of each friend's car while traveling to Charleston. To find the speed, we divide the number of miles (aka the distance) by the number of hours. The friend with the greatest quotient is the one who traveled at the highest velocity.

<u>Solution</u>

250 ÷ 5 = 50

240 ÷ 4 = 60

135 ÷ 3 = 45

110 ÷ 2 = 55

As you can see, 60 mph is the greatest velocity, so the person who traveled at the highest velocity to Charleston is Mark.

7 0

2 years ago

Text & Tests 1 Junior Cycle Mathematics

yawa3891 [41]

a)

b) i) p(T) = 0.3

b) ii) p(F) = 0.25

b) iii) p(T') = 0.7

b) iv) p(F') = 0.75

b) v) $p(T\cap F)=0.05$

b) vi) $p(T\cup F)=0.5$

Step-by-step explanation:

a)

The Venn diagram is shown in the figure.

In the Venn diagram, we have represented:

- The set of events U, which consists of all the natural numbers from 1 to 20

- The set of events T, which consists of all the numbers multiples of 3

- The set of events F, which consists of all the numbers multiples of 4

We notice that:

- The set T only contains the following numbers: 3,6,9,12,15,18, which are the multiples of 3

- The set F contains only the following numbers: 4,8,12,16,20, which are the multiples of 4

The number 12 is in common between the two sets T and F.

b)

i) After choosing a number from U, here we want to find

P(T)

which represents the probability that the extracted number is part of set T (so, that it is a multiple of 3).

This probability is given by:

$P(T)=\frac{n(T)}{n(U)}$

where

$n(T)$ is the number of numbers in set T

$n(U)$ is the number of numbers in set U

Here we have:

$n(T)=6$ - the multiples of 3 between 1 and 20 are only: 3,6,9,12,15,18

$n(U)=20$ (the numbers from 1 to 20 are 20)

So,

$p(T)=\frac{6}{20}=0.3$

ii)

After choosing a number from U, here we want to find

P(F)

which represents the probability that the extracted number is part of set F (so, that it is a multiple of 4).

This probability here is given by:

$P(F)=\frac{n(F)}{n(U)}$

where:

$n(F)$ is the number of numbers in set F

$n(U)$ is the number of numbers in set U

Here we have:

$n(F)=5$ - the multiples of 4 between 1 and 20 are only: 4,8,12,16,20

$n(U)=20$ (the numbers from 1 to 20 are 20)

Therefore,

$p(F)=\frac{5}{20}=0.25$

iii)

In this part, after a choosing a number from U, we want to find

p(T')

which is the propability of the set of events complementary to T. In other words, we want to find the probability that the extracted number is NOT part of set T.

The complementary probability of a certain set can be found using

$p(T')=1-p(T)$

where

$p(T)$ is the probability of set T to occur

In this problem, as we calculated in part i), we have

p(T) = 0.3

Therefore, the probability of the complementary of T is

$p(T') = 1 - 0.3 = 0.7$

iv)

Similarly to part iii), In this part, after a choosing a number from U, we want to find

p(F')

this is the propability of the set of events complementary to F: so, we want to find the probability that the extracted number is NOT part of set F.

The complementary probability of this set can be found using

$p(F')=1-p(F)$

where:

$p(F)$ is the probability of set F to occur

As we calculated in part ii), here we have

p(F) = 0.25

Therefore, the probability of F not to occur is

$p(F') = 1 - 0.25 = 0.75$

v)

In this part, we want to find

$P(T\cap F)$

which is the probability that after choosing a number from U, this number belongs to both sets T and F. In other words, the probability that the number is multiple of 3 and 4 at the same time.

This probability is given by:

$p(T\cap F) = \frac{n(T\cap F)}{n(U)}$

where

The numerator is the number of numbers between 1 and 20 being at the same time multiple of 3 and 4

The denominator is the number of numbers from 1 to 20

Here we have:

$n(T\cap F) = 1$ , because only 1 number (12) is multiple of 3 and 4 at the same time between 1 and 20

$n(U)=20$

Therefore, this probability is

$p(T\cap F)=\frac{1}{20}=0.05$

vi)

In this part, we want to find

$p(T\cup F)$

which is the probability that after choosing a number from U, this number belongs either to set T or set F. In other words, the probability that the number is either a multiple of 3 or a multiple of 4.

This probability is given by:

$p(T\cup F)=\frac{n(T\cup F)}{n(U)}$