of the 200 guests invited to a wedding, 154 attend the wedding what percent of the invited guests attended the wedding

Find the value of the combination. From a committee consisting of 8 men and 5 women, a subcommittee is formed consisting of 4 me

Alex787 [66]

Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.

Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.

Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 .

5 0

3 years ago

Please help,<br> Find the perimeter of the figure to the nearest hundredth

ElenaW [278]

Answer:

36.56 in

Step-by-step explanation:

perimeter is the sum of all sides

u add all the sides of the square by 6

6+ 6 + 6 + 6 = 24

circumference is the line around the circle

circumference = 3.14 x diameter

c = 3.14 x 4

c = 12.56

24 + 12.56 = 36.56

to the NEAREST HUNDREDTH????? ok welll thats alr

remember

5 or more, raise the score

4 or less, let it rest

this should be fine since the last 6 is alr in the hundredth place :)

like this up !!

6 0

3 years ago

Read 2 more answers

Determine if the following system of equations has no solutions, infinitely many

FrozenT [24]

Answer:

infinitely many solutions

Step-by-step explanation:

x + 6y = -5

3x + 18y = -15

Multiply the first equation by 3

3(x + 6y) = -5*3

3x + 18y = -15

The two equations are identical. This means they have infinite solutions along the line x+6y = -5

8 0

3 years ago

A company with a large fleet of cars wants to study the gasoline usage. They check the gasoline usage for 50 company trips chose

Nookie1986 [14]

Answer:

The 95% confidence interval is given by (25.71536 ;28.32464)

And if we need to round we can use the following excel code:

round(lower,2)

[1] 25.72

round(upper,2)

[1] 28.32

And the interval would be (25.72; 28.32)

Step-by-step explanation:

Notation and definitions

n=50 represent the sample size

$\bar X= 27.2$ represent the sample mean

$s=5.83$ represent the sample standard deviation

m represent the margin of error

Confidence =88% or 0.88

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Calculate the critical value tc

In order to find the critical value is important to mention that we don't know about the population standard deviation, so on this case we need to use the t distribution. Since our interval is at 88% of confidence, our significance level would be given by $\alpha=1-0.88=0.12$ and $\alpha/2 =0.06$ . The degrees of freedom are given by: