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3 years ago

Lauren and Kristi are practicing for a track meet. Lauren runs 4 more than twice as many laps as Kristi.

Mathematics

1 answer:

Jlenok [28]3 years ago

6 0

Lauren runs 14 laps. 2(5) + 4 = 14. Kristi runs 5. 5 x 2 = 10 , 10 + 4 = 14.

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Solve for x: 3x - 4 = 23<br><br> Answer: x =

krok68 [10]

Answer:x=9

Step-by-step explanation:

3(9)=27

27-4=23

4 0

3 years ago

Read 2 more answers

A business organization needs to make up a 8 member fund-raising committee. The organization has 6 accounting majors and 6 finan

Tasya [4]

Answer:

Total no of ways can the fund raising committee be formed if at least 4 accounting majors are on the committee. = 360

Step-by-step explanation:

Given -

A business organization needs to make up a 8 member fund-raising committee.

The organization has 6 accounting majors and 6 finance majors .

Total no of ways can the fund raising committee be formed if at least 4 accounting majors are on the committee.

(1) chose 4 accounting majors from 6 and chose 4 finance majors from 6 =

= $\binom{6}{4}\times\binom{6}{4}$

= $\frac{(6!)}{(2!)(4!)}\times \frac{(6!)}{(2!)(4!)}$ = 225

(2) chose 5 accounting majors from 6 and chose 3 finance majors from 6 = $\binom{6}{5}\times\binom{6}{3}$

= $\frac{(6!)}{(1!)(5!)}\times\frac{(6!)}{(3!)(3!)}$ = 120

(3) chose 6 accounting majors from 6 and chose 2 finance majors from 6 = $\binom{6}{6}\times \binom{6}{2}$

= $\frac{(6!)}{(6!)(0!)}\times\frac{(6!)}{(2!)(4!)}$ = 15

Then total no of ways = (1) + (2) + 3

= 360

5 0

3 years ago

magine that you are conducting a one-variable chi-square test to investigate the hypothesis that there are equal numbers of cat

lilavasa [31]

Answer:

a. 135 is correct

Step-by-step explanation:

We have the following information:

dogs lover: 150

cats lover: 120

as the null hypothesis:

H, there are equal number of dogs lover and cats lover, so the expected frequency in each cell will be equal and that is:

f = (150 + 120) / 2

f = 270/2 = 135

so option a. 135 is correct

5 0

3 years ago

Find the value of this:

mixer [17]

1 3 /10. That’s the answer because you have to carry over the six bc 2/10 is less then 9/10

4 0

3 years ago

Eric took out an 80/20 mortgage to buy a house costing $175,000. The first (80%) mortgage has an interest rate of 4.75%, and the

Serhud [2]

Answer:

The total monthly mortgage payment for the house is $975.63

Step-by-step explanation:

The principle amount is $175000

80% of 175000 is = $0.8\times175000$ = $140000

20% of 175000 is = $0.2\times175000$ = $35000

Emi formula is :

$\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }$

For 1st part:

p = 140000

r = 4.75/12/100=0.00395

n = $30*12=360$

Putting values in formula we get

$\frac{140000\times0.00395\times(1.00395)^{360} }{(1.00395)^{360}-1 }$

= $729.508

For 2nd part:

p = 35000

r = 7.525/12/100=0.00627

n = $30*12=360$

Putting values in formula we get

$\frac{35000\times0.00627\times(1.00627)^{360} }{(1.00627)^{360}-1 }$

= $245.301

Adding both the monthly payments:

$729.508+245.301=974.809$ dollars

This is closest to option A.

So, option A is the answer.

And for 30 years the mortgage payment will be =

$975.63\times12\times30=351226.80$ dollars

5 0

4 years ago