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3 years ago

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Solve by simplifying the problem. There are 18 students in Mr. Alvarez’s art class. Throughout the year, every student must pair

up with every other student to complete a project. How many projects will be finished?

1 answer:

AleksAgata [21]3 years ago

4 0

324 i don't know how to explain it sorry but 324 is the answer

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PLEASE HELP<br><br> A<br><br> B<br><br> C<br><br> OR<br><br> D

iVinArrow [24]

Answer:

36 cm

Step-by-step explanation:

P = 2l + 2w

Plug in

P = 2(14) + 2 (4)

P = 28 + 8

P = 36

5 0

3 years ago

Read 2 more answers

Tyler selects one card from the three(4,5, and a King), and rolls a number cube. What is the probability that she selects the 5,

Svet_ta [14]

$\frac{1}{3}$ Answer:

2/9

Step-by-step explanation:

given that Tyler selects one card from the three(4,5, and a King), and rolls a number cube.

We find that A the event of selecting one card and B getting a number on rolling a number cube are independent events.

No of cards = 3

Prob of selecting 5 from 3 cards = $P(1,2,3, or 4) = \frac{2}{3}$

When rolling a number cube (assuming fair) there is equally likely for all numbers to appear from 1 to 6

Prob of getting 5 = $\frac{1}{6}$

Prob of getting less than 5 =

Since these two events are independent,

the probability that she selects the 5, and rolls a number less than 5

= Product of probabilities

= $\frac{1}{3}$ * $\frac{2}{3}$

= $\frac{2}{9}$

6 0

3 years ago

Martin says that f(x)=2(4)^x starts at 4 and has a constant ratio of 2. What error did Martin make? Explain.

grigory [225]

Answer:

A general exponential equation is written as:

f(x) = A*(r)^x

Where:

A is the initial value, this is the value that the function takes when x = 0.

r is the rate of growth

x is the variable.

In this case, the function is:

f(x) = 2*(4)^x

The initial value is:

f(0) = 2*(4)^0 = 2*1 = 2

The initial value is 2.

And the rate of growth is 4.

So Martin seems to mixed these two values (he said initial value = 4, and rate = 2, which is the opposite of what we found)

8 0

3 years ago

An independent-measures research study was used to compare two treatment conditions with n= 12 participants in each treatment. T

Maurinko [17]

Answer:

(a) The data indicate a significant difference between the two treatments.

(b) The data do not indicate a significant difference between the two treatments.

(c) The data indicate a significant difference between the two treatments.

Step-by-step explanation:

Null hypothesis: There is no difference between the two treatments.

Alternate hypothesis: There is a significant difference between the two treatments.

Data given:

M1 = 55

M2 = 52

s1^2 = 8

s2^2 = 4

n1 = 12

n2 = 12

Pooled variance = [(n1-1)s1^2 + (n2-1)s2^2] ÷ (n1+n2-2) = [(12-1)8 + (12-1)4] ÷ (12+12-2) = 132 ÷ 22 = 6

Test statistic (t) = (M1 - M2) ÷ sqrt [pooled variance (1/n1 + 1/n2)] = (55 - 52) ÷ sqrt[6(1/6 + 1/6)] = 3 ÷ 1.414 = 2.122

Degree of freedom = n1+n2-2 = 12+12-2 = 22

(a) For a two-tailed test with a 0.05 (5%) significance level and 23 degrees of freedom, the critical values are -2.069 and 2.069.

Conclusion:

Reject the null hypothesis because the test statistic 2.122 falls outside the region bounded by the critical values.

(b) For a two-tailed test with a 0.01 (1%) significance level and 23 degrees of freedom, the critical values are -2.807 and 2.807.

Conclusion:

Fail to reject the null hypothesis because the test statistic 2.122 falls within the region bounded by the critical values.

(c) For a one-tailed test with 0.05 (5%) significance level and 23 degrees of freedom, the critical value is 1.714.

Conclusion:

Reject the null hypothesis because the test statistic 2.122 is greater than the critical value 1.714.

6 0

3 years ago

Plans call for the reptile Reserve to be surrounded on all sides by a fence. What is the total length of the fence?

Oduvanchick [21]

Answer:

There are no enough information to determine the length of the fence, assuming we were given the perimeter of the fence, and say, the dimension of the fence, then we can easily find the length.

Perimeter of the fence, P = 2(L + B).. If the fence is a rectangular.

L = (P/2) - B

If the fence is square, P = 4L

L = P/4

3 0

3 years ago