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2 years ago

12

the table shows cara's scores for 5 rounds of golf. If cara wants an average score of 73, what should her scores be on 6th round

she plays?

1 answer:

dlinn [17]2 years ago

4 0

Answer:

63

Step-by-step explanation:

80+69+78+73+75+63= 438

438/6 = 73

Hope this helps you! :)

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1) A school has 1600 students and they are going to vote as to whether they will completely convert the school completely off fo

fredd [130]

Answer:

Standard deviation of the students = 0.408

The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote

= 0.408 X 1600

= 652.8

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given sample size 'n' = 1600

95% confidence interval of the margin error is determined by

$M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }$

Level of significance = 0.05

Z₀.₀₅ = 1.96

Given Margin of error = 2% = 0.02

$M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }$

$0.02 = \frac{1.96 X S.D}{\sqrt{1600} }$

0.02 X √1600 = 1.96 X S.D

$S.D = \frac{0.02X\sqrt{1600} }{1.96} = 0.408$

Standard deviation of the students = 0.408

The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote

= 0.408 X 1600

= 652.8

5 0

2 years ago

Use what you already know to find a, b, and c.

Valentin [98]

Answer:

Use the "find vertically opposite angle" method.

a = 80°

To find the other angles:

Since the angles equal up to 360 which makes a full circle shape...

360 - 80 - 80 = 200 (B and C)

200 ÷ 2 = 100 (Angle for B and C since they are vertically opposite, hence having the same angle)

b = 100°

c = 100°

8 0

2 years ago

. How many faces does a polyhedron with<br> 20 vertices and 30 edges have?

Alisiya [41]

Answer:

12

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Are all cubes similar

julia-pushkina [17]

Yes all cubes are similar but their measurement is not similar

8 0

2 years ago

Prove the divisibility of the following numbers:

Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

$75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}$

(B)

$72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}$

In this case, it is easier to also factor the divisor to primes:

$72^{63}=2^{189}\cdot 3^{126}$

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

$2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}$

6 0

2 years ago