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3 years ago

Im gonna die. help me pls

Mathematics

2 answers:

kkurt [141]3 years ago

7 0

Answer:

84 to 6

112 to 8

Step-by-step explanation:

divide 84 by 6 to get 14

and divide 112 by 14 to get 8

so the chart equals 14

borishaifa [10]3 years ago

3 0

Answer:

m = 14n, 6 and 8

Step-by-step explanation:

The m row is always 14x larger than the N.

The next two would be 6 and then 8

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A city council consists of eight Democrats and eight Republicans. If a committee of six people is selected, find the probability

Lisa [10]

Answer:

The probability is $P[ D n R] = 0.196$

Step-by-step explanation:

From the question we are told that

The number of Democrats is $D = 8$

The number of republicans is $R = 8$

The number of ways of selecting selecting two Democrats and four Republicans.

$N = \left {D} \atop {}} \right. C_2 * \left {R} \atop {}} \right. C_1$

Where C represents combination

substituting values

$N = \left {8} \atop {}} \right. C_2 * \left {8} \atop {}} \right. C_1$

$N = \left {8} \atop {}} \right. C_2 * \left {8} \atop {}} \right. C_1 = \frac{8!}{(8-2)! 2!} * \frac{8! }{(8-4)! 1 !}$

=> $N = \left {8} \atop {}} \right. C_2 * \left {8} \atop {}} \right. C_1 = \frac{8!}{(6)! 2!} * \frac{8! }{(6)! 1 !}$

=> $N = \left {8} \atop {}} \right. C_2 * \left {8} \atop {}} \right. C_1 = \frac{8 * 7 * 6!}{(6)! 2!} * \frac{8*7 *6! }{(6)! 1 !}$

=> $N = \left {8} \atop {}} \right. C_2 * \left {8} \atop {}} \right. C_1 = \frac{8 * 7 }{ 2*1 } * \frac{8*7 }{ 1 *1 }$

=> $N = 1568$

The total number of ways of selecting the committee of six people is

$Z = \left {D+R} \atop {}} \right. C_6$

substituting values

$Z = \left {8+8} \atop {}} \right. C_6$

$Z= \left {16} \atop {}} \right. C_6$

substituting values

$Z= \left {16} \atop {}} \right. C_6 = \frac{16! }{(16-6) ! 6!}$

$Z= \left {16} \atop {}} \right. C_6 = \frac{16 *15 *14 * 13 * 12 * 11 * 10! }{10 ! 6!}$

$Z= \left {16} \atop {}} \right. C_6 = \frac{16 *15 *14 * 13 * 12 * 11 }{6* 5 * 4 * 3 * 2 * 1}$

$Z= \left {16} \atop {}} \right. C_6 = 8008$

The probability of selecting two Democrats and four Republicans is mathematically represented as

$P[ D n R] = \frac{N}{Z}$

substituting values

$P[ D n R] = \frac{1568}{8008}$

$P[ D n R] = 0.196$

3 0

3 years ago

A sample of 148 college students at a large university reports getting an average of 6.85 hours of sleep last night with a stand

nignag [31]

Answer:

70 students need to be surveyed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Assuming that the standard deviation of the above sample is a reasonable estimate of the standard deviation of sleep time at your university.

This means that $\sigma = 2.12$

How many students do you need to survey to estimate the mean sleep time of students at your university with 95% confidence and a margin of error of 0.5 hours?

n students need to be surveyed, and n is found when M = 0.5. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.5 = 1.96\frac{2.12}{\sqrt{n}}$

$0.5\sqrt{n} = 1.96*2.12$

Multiplying by 2 on both sides:

$\sqrt{n} = 1.96*4.24$

$(\sqrt{n})^2 = (1.96*4.24)^2$

$n = 69.1$

Rounding up

70 students need to be surveyed.

3 0

3 years ago

the expression x-0.10x gives the cost of an item that is discounted 10%. Write this expression another way.

Romashka [77]

Answer:

0.9x

Step-by-step explanation:

you just subtract the two

8 0

3 years ago

Ind the value of x which satisfies the equation 2x - (4 - x) = 5 - X

mina [271]

Answer:

2,25

Step-by-step explanation:

2x-4+x=5-x

2x+x+x=5+4

4x=9 |÷4

x=2,25

8 0

3 years ago

Read 2 more answers

10 cm<br><br> 4 cm<br><br> 2) What is the volume of Tinker's head (the face and the hat)?

exis [7]

40 cm long. hope this helps

4 0

3 years ago