We do this by using the formula $\displaystyle nCr=\frac{n!}{r!(n-r)!}$ which describes the number of ways we can choose $r$ objects given $n$ possible choices. So, if $n=7$ and $r=4$ , then:

$_4C_7=\frac{7!}{4!(7-4)!}\\\\_4C_7=\frac{7*6*5*4!}{4!*3!}\\\\_4C_7=\frac{210}{6}\\\\_4C_7=35$

Hence, the teacher can make 35 different geometry quizzes.

3 0

3 years ago

Domestic bees make their honeycomb by starting with a single hexagonal cell, then forming ring after ring of hexagonal cells aro

maw [93]

Answer:

aₙ= 6 n

Step-by-step explanation:

A honey comb cell contain 6 cells

a₁ = 6

d=6

aₙ = 6 + (n-1)6

= 6 n

7 0

4 years ago

Jake's test scores are 86, 70, 72, 100, 96, and 80. What must Jake earn of his last test to earn a mean grade of exactly 85%?

kompoz [17]

Answer:

Step-by-step explanation:

Mean is calculated as

mean = $\frac{sum}{count}$

let x be his test score of his last test , then

$\frac{86+70+72+100+96+80+x}{7}$ = 85 ( multiply both sides by 7 )

504 + x = 595 ( subtract 504 from both sides )

x = 91

4 0

3 years ago

At a shelter 15%of the dogs are puppies. There are 60 dogs at the shelter. How many are puppies???? Will Mark BRAINLLEST

tankabanditka [31]

Answer:

there are 9 puppies.

Step-by-step explanation:

Hope this helps! Happy Trails!

8 0

4 years ago

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