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lyudmila [28]
3 years ago
15

Coach Jericho recorded the number of shots made by the starters on the 6th grade and 8th grade boys’ basketball team during the

season.
6th Grade 8th Grade
22, 15, 17, 18, 20 58, 58, 52, 55, 53


Which statement is true? Select two answers.

A.
The data spread for the 8th graders is greater than for the 6th graders.

B.
Both sets of data have the same mean.

C.
The data set distribution for the 6th grade players is skewed right.

D.
The mean for the 8th grade players is 3 times the mean for the 6th grade players.

E.
The data set distribution for the 8th grade players is symmetric.
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
3 0

Answer:

D. The mean for the 8th grade players is 3 times the mean for the 6th grade players. & E. The data set distribution for the 8th grade players is symmetric.

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The common ratio of a geometric series is 1/4 and the sum of the first 4 terms is 170.
Illusion [34]

Answer: the first term of the series is 128

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = a(1 - r^n)/(1 - r)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

r = 1/4 = 0.25

n = 4

S4 = 170

Therefore, the expression for the sum of the 4 terms, S4 is

170 = a(1 - 0.25^4)/(1 - 0.25)

170 = a(1 - 0.00390625)/(1 - 0.25)

170 = a(0.99609375)/(0.75)

170 = 1.328125a

a = 170/1.328125

a = 128

5 0
3 years ago
Selma cannot remember her locker number! She knows that her locker number is prime, and that it is a factor of 435. What are all
tatuchka [14]

Answer:

Possible locker numbers for Selma are: 3, 5 and 29

Step-by-step explanation:

First of all, let us have a look at the definition of a prime number.

A <em>prime number</em> is a number which is divisible either by 1 or the number itself.

No other number divides the prime number other than 1 and the number itself.

Now, let us factorize the given number 435 and let us observe the what all possibilities are there.

435 = 3\times 145

Factorizing 145 further:

435 = 3\times 5\times 29

No further factors are possible.

Therefore 3, 5 and 29 are the prime factors of 435.

So, the answer is:

Possible locker numbers for Selma are: 3, 5 and 29

3 0
3 years ago
Find the radius of a sphere with a volume of 972π cubic millimeters.
sesenic [268]

Answer:

The radius is 9 mm

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3  where r is the radius

972 pi  = 4/3 pi r^3

Divide each side by pi

972 = 4/3 r^3

Multiply each side by 3/4 to isolate r^3

3/4 * 972 = 4/3 * 3/4 r^3

729 = r^3

Take the cube root of each side

(729) ^ (1/3) = (r^3) ^ (1/3)

9 = r

The radius is 9 mm

8 0
3 years ago
Read 2 more answers
Use the following graph of the function f(x) = −3x4 − x3 + 3x2 + x + 3 to answer this question: graph of negative 3 x to the fou
Serggg [28]

Answer:

The average rate of change from x=0 to x=1 for f(x) is 0.

Step-by-step explanation:

We are given the function f(x)=-3x^{4}-x^{3}+3x^{2}+x+3.

Now, the rate average rate of change of a function from y=x_{1} to y=x_{2} is given by \frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}}.

As, we need the rate of change from x = 0 to x = 1.

So, we will find the values of f(0) and f(1).

i.e. f(0)=-3\times0^{4}-0^{3}+3\times0^{2}+0+3 i.e. f(0)  = 3

and f(1)=-3\times1^{4}-1^{3}+3\times1^{2}+1+3 i.e. f(1)=-3-1+3+1+3 i.e. f(1) = 3

Thus, the rate of change from x=0 to x=1 is \frac{f(1)-f(0)}{1-0} i.e.  \frac{3-3}{1-0} i.e. 0

Hence, the average rate of change from x=0 to x=1 for f(x) is 0.

7 0
3 years ago
The ratio of 6 hours and 48 minutes in simplest form is (I need this quickly)
julsineya [31]
The gcf of both 6 and 48 is 6. So, in simplest form, the ration would be: 1:6 or 1 hour:6 minutes :)
7 0
3 years ago
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