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3 years ago

Determine the type of triangle

Mathematics

1 answer:

vitfil [10]3 years ago

8 0

Scalene right triangle-

None of the angles are congruent so it’s scalene, but since a it has a 90 degree angle it is also a right triangle

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The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is

blagie [28]

Answer:

Step 1: True

1. Approximately 2000 families are in the sample.

2. False.

3. 31.2 hours.

4. False.

Step-by-step explanation:

The 55th percentile is greater than or equal to 30 hours.

The median is of 31.2 hours, which means that the 50th percentile is of 31.2 hours. The 55th percentile is above the 50th percentile, and thus, the 55th percentile is greater than 31.2 hours, and thus, also greater than 30 hours, and the statement is true.

1: Approximately how many families are in the sample?

Twenty-four of the families in the sample turned on the television for 20 hours or less for the week. The 12th percentile of the data is 20 hours, and thus 24 is 12% of the sample size n. So

$0.12n = 24$

$n = \frac{24}{0.12}$

$n = 2000$

Approximately 2000 families are in the sample.

2: Based on the given information, determine if the following statement is true or false. Approximately 200 families turned on their televisions for less than 35 hours.

The median, that is, the 50th percentile, is of 31.2 hours.

Thus, 35 hours is above the 50th percentile, which means that more than 1000 families(considerably more than 200) will have turned on their TVs for less than 35 hours, and this statement is false.

3: What is the value of the 50th percentile?

The median, which is of 31.2 hours.

4: Based on the given information, determine if the following statement is true or false.The first quartile is greater than or equal to 20 hours.

20 hours is the 12th percentile, which means that the first percentile is less than 20 hours, and this statement is false.

5 0

3 years ago

What is -2+3x=2x+6+x

Aliun [14]

-2+3x=2x+6+x
-2+3x= 3x+6
-3x = -3x

-2=6

No solution! -2 doesn’t not equal 6

Steps

1. Combine like terms( example combine like terms on the right side of the equation)

2. Subtract or add variable from one side

3. You get the answer

3 0

3 years ago

How can you identify a geometric sequence as an equation?

Kipish [7]

The r-value, or common ratio, can be calculated by dividing any two consecutive terms in a geometric sequence.

7 0

3 years ago

2(3x+4y) I need this problem worked out

Blizzard [7]

Distribute. 2 times 3x is 6x. 2 times 4y is 8y. Now you have 6x+8y. That's the furthest you can go with this problem since it does not have an equals sign it is not an equation.

4 0

3 years ago

The mayor asks you to determine whether or not most people (over 50%) support a tax on large soft drinks. You poll 500 adults wi

xeze [42]

Answer:

(1) The standard error is 0.0224.

(2) The error term is 0.058.

(3) The 99% confidence interval for the proportion of adults supporting the soft drink tax is (0.45, 0.57).

(4) Approximately 45% to 57% people support the soft drink tax.

Step-by-step explanation:

Let X = number of adults who support the soft drink tax.

The sample size is, n = 500.

The number of people who support the tax is, X = 255.

Compute the sample proportion as follows:

$\hat p=\frac{X}{n}=\frac{255}{500}= 0.51$

(1)

Compute the standard error as follows:

$SE_{\hat p}=\sqrt{\frac{\hat p(1-\hat p)}{n}} \\=\sqrt{\frac{0.51(1-0.51)}{500}}\\=0.0224$

Thus, the standard error is 0.0224.

(2)

The error term (Margin of error) is:

$MOE=z_{\alpha/2}\times SE_{\hat p}$

For 99% confidence interval the critical value of z is:

$z_{\alpha/2}=z_{0.01/2}=z_{0.005}=2.58$

Compute the value of MOE as follows:

$MOE=z_{\alpha/2}\times SE_{\hat p}\\=2.58\times0.0224\\=0.057792\\\approx0.058$

Thus, the error term is 0.058.

(3)

Compute the 99% confidence interval as follows:

$CI=\hat p\pm MOE\\=0.51\pm0.058\\=(0.452, 0.568)\\\approx(0.45, 0.57)$

Thus, the 99% confidence interval for the proportion of adults supporting the soft drink tax is (0.45, 0.57).

(4)

The report to be submitted to the mayor is that approximately 45% to 57% people support the soft drink tax.

7 0

3 years ago

Determine the type of triangle ​

Determine the type of triangle