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frutty [35]
3 years ago
7

There are 14 dogs in a particular class at a dog show. Blue, red, yellow, and white ribbons will be awarded to the first through

fourth place finishers, respectively. In how many different ways can the ribbons be awarded?
1001
6006
24024
38416
Mathematics
1 answer:
stira [4]3 years ago
4 0
There are 14 possibilities for first place.
There are 13 possibilities for second place, since a dog can't get both first and second place.
There are 12 possibilities for third place, since a dog can't get both first, second, and third place.
There are 11 possibilities for fourth place, since a dog can't get both first, second, third, and fourth place.

Multiply them together and get 24024 possibilities.

Hope this helps!

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Find the measure of the angle indicated in bold
GuDViN [60]

Answer:

3/2 =x

Step-by-step explanation:

These two angles are interior angles.  They add up to 180 degrees

20x+5 = 24x-1

Subtract 20x from each side

20x-20x+5 = 24x-20x-1

5 = 4x-1

Add 1 to each side

5+1 =4x-1+1

6 =4x

Divide by 4

6/4 = 4x/4

3/2 =x

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3 years ago
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4 0
2 years ago
A medium-sized (4-pound) sugar pumpkin should yield around 1½ cups of mashed pumpkin. So, if a 4-pound pumpkin will yield about
Greeley [361]

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Step-by-step explanation:

From the question, we are informed that 4-pound pumpkin will yield about 1.5 cups of mashed pumpkin (pumpkin puree).

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4 0
3 years ago
Values for the labor force participation rate of women​ (LFPR) are published by the U.S. Bureau of Labor Statistics. A researche
Anna [14]

Answer:

(A) For this research we made use of the paired t test.

(B) For the t test, we conclude that in the null Hypothesis H₀, there was no difference between the average labor force participation rate for women between the years of 1968 and​ 1972 as against the alternate Hypothesis Hₐ.

From the output data we have, since the P value is 0.024 and  is lesser than the alpha value of 0.05, we will accept the alternate Hypothesis instead of the null Hypothesis.

Note:Kindly find an attached copy of the complete question below.

Step-by-step explanation:

Solution

Recall that:

The U.S of Bureau of Labor Statistics have published Values for the labor force participation rate of women​ (LFPR).

We are more interested in if there was a difference between female participation 1968 and​ 1972, a rapid change in women.

so we will check values for 19 randomly selected cities for 1968 and​ 1972,

Now,

(a) Which of this test is most appropriate for this data

The test which will be more suitable for these data will be paired to test t.

Because the data is for labor force participation for two different years, we apply the t test. now that we are making a comparison of two different year times, we will apply the t test in this research.

In this case, the sample size for both the years evaluated should be same, since we need to pair each and all the data.

(b)By using the test you selected, explain your conclusion

Now, to test the data paired t test, we have already the null Hypothesis  H₀: In this case there  is no difference between the average labor force participation rate for women between the years of 1968 and​ 1972 as compared with the alternate Hypothesis Hₐ: there was a significant difference between the average labor force participation rate for women between the years of 1968 and​ 1972.

However, from the output, we have that the P value is 0.024 which is lower than the alpha value of 0.05.

In conclusion, the alternate Hypothesis accepted while the null Hypothesis is rejected.

Note: kindly find an attached copy of the complete question to this solution

below.

4 0
3 years ago
I’m need this worked out step by step by tonight
Pie

9514 1404 393

Answer:

  -3 ≤ x ≤ 19/3

Step-by-step explanation:

This inequality can be resolved to a compound inequality:

  -7 ≤ (3x -5)/2 ≤ 7

Multiply all parts by 2.

  -14 ≤ 3x -5 ≤ 14

Add 5 to all parts.

  -9 ≤ 3x ≤ 19

Divide all parts by 3.

  -3 ≤ x ≤ 19/3

_____

<em>Additional comment</em>

If you subtract 7 from both sides of the given inequality, it becomes ...

  |(3x -5)/2| -7 ≤ 0

Then you're looking for the values of x that bound the region where the graph is below the x-axis. Those are shown in the attachment. For graphing purposes, I find this comparison to zero works well.

__

For an algebraic solution, I like the compound inequality method shown above. That only works well when the inequality is of the form ...

  |f(x)| < (some number) . . . . or ≤

If the inequality symbol points away from the absolute value expression, or if the (some number) expression involves the variable, then it is probably better to write the inequality in two parts with appropriate domain specifications:

  |f(x)| > g(x)   ⇒   f(x) > g(x) for f(x) > 0; or -f(x) > g(x) for f(x) < 0

Any solutions to these inequalities must respect their domains.

8 0
2 years ago
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