Yankee Candle is having a sale where everything in the store is 25% off. If a large

A. 25 B. 40 C. 250 D. 400 Help me please and tha k you

masha68 [24]

A your very welcome

7 0

3 years ago

8 freshmen, 9 sophomores, 9 juniors, and 7 seniors are eligible to be on a committee.

loris [4]

Answer: 11113200

Step-by-step explanation:

We know that , the number of combination of choosing r things from n things is given by :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

$^8C_4\times ^9C_5\times^9C_2\times^7C_3$

$=\dfrac{8!}{(8-4)!4!}\times\dfrac{9!}{(9-5)!5!}\times\dfrac{9!}{(9-2)!2!}\times\dfrac{7!}{3!(7-3)!}\\\\ =\dfrac{8\times7\times6\times5\times4!}{4!4!}\times\dfrac{9\times8\times7\times6\times5!}{4!5!}\times\dfrac{9\times8\times7!}{7!2!}\times\dfrac{7\times6\times5\times4!}{3!4!}\\\\=11113200$

∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200

6 0

3 years ago

Are all right triangles similar?

alexira [117]

No, in order for a right triangle to be similar it would need to have the same height and base.

6 0

2 years ago

Read 2 more answers

A rental car costs a onetime fee of $150 and then an additional $80 for each day it is rented. If the Nawa family's total bill w

anyanavicka [17]

Cost=150+ 80d....d=number of days
470=150+80d
470-150=80d
320=80d divide by 80
4=d
she rented the car for 4 days

8 0

3 years ago

Historically, the proportion of students entering a university who finished in 4 years or less was 63%. To test whether this pro

Neporo4naja [7]

Answer:

z(c) = - 1,64

We reject the null hypothesis

Step-by-step explanation:

We need to solve a proportion test ( one tail-test ) left test

Normal distribution

p₀ = 63 %

proportion size p = 51 %

sample size n = 114

At 5% level of significance α = 0,05, and with this value we find in z- table z score of z(c) = 1,64 ( critical value )

Test of proportion:

H₀ Null Hypothesis p = p₀

Hₐ Alternate Hypothesis p < p₀

We now compute z(s) as:

z(s) = ( p - p₀ ) / √ p₀q₀/n

z(s) =( 0,51 - 0,63) / √0,63*0,37/114

z(s) = - 0,12 / 0,045

z(s) = - 2,66

We compare z(s) and z(c)

z(s) < z(c) - 2,66 < -1,64

Therefore as z(s) < z(c) z(s) is in the rejection zone we reject the null hypothesis

5 0

3 years ago