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Naddik [55]
1 year ago
9

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the t

riangle is 15.7 centimeters. The equation 2a + b = 15.7 can be used to find the side lengths. If one of the longer sides is 6.3 centimeters, what is the length of the base?
Mathematics
2 answers:
LuckyWell [14K]1 year ago
8 0
Isosollese triangle has 2 equal sides that are longer than legnth of base
perimiter=15.7
equation is 2a+b=15.7
so if the longer side is 6.3, wat is legnth of base
we know that identical sides are bigger so 6.3 is one of the identical sides
2a means the 2 idneical sides
2(6.3)+b=15.7
12.6+b=15.7
subtract 12.6 from btohs ides
b=3.1
answer is base=3.1 cm
Fiesta28 [93]1 year ago
8 0

Answer: 3.1

Step-by-step explanation:

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Y_Kistochka [10]

Answer:

A program at a community college can be completed in no fewer than 8 months, but must be completed in less than 11 months.

Step-by-step explanation:

1. The closed dot means the number is equal to and the open dot means the number is less/ greater than

2. The line goes right from the 8 with a closed dot, making x greater than or equal to 8

3. The line goes left from the 11 with an open dot, making x less than ll

4. This means the number must be equal to or greater than 8, and less than 11

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2 years ago
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Write an absolute value equation to satisfy the given solution set shown on a number line.
aivan3 [116]

Answer: IX - 4I ≤ 4

Step-by-step explanation:

In the numer line we can see that our possible values of x are in the range:

0 ≤ x ≤ 8

And we want to find an absolute value equation such that this set is the set of possible solutions.

An example can be:

IX - 4I ≤ 4

To construct this, we first find the midpoint M of our set, in this case is 4.

Then we write:

Ix - MI  ≤ IMI

Notice that i am using the minor and equal sign, this is because the black dots means that the values x = 0 and x = 8 are included, if the dots were empty dots, it would be an open set and we should use the <  > signs.

8 0
2 years ago
A list has 10 numbers. Each number is a 1, 2, or 3. The average is 2 and the SD is 0. What is the list?
OLga [1]

Answer:

1, 1, 1, 2, 2, 2, 2, 3, 3, 3

Step-by-step explanation:

Since the standard deviation = 0

And the mean of the number = 2

If X is the sum of all the numbers, then

X/10 = 2

Cross multiply and make X the subject of formula

X = 2 × 10 = 20

The sum of the numbers will be 20

The number will be

1, 1, 1, 2, 2, 2, 2, 3, 3, 3

The sum of the above numbers is equal to 20 and the average value of the numbers is equal to 2.

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2 years ago
According to a survey, 10% of Americans are afraid to fly. Suppose 1100 Americans are sampled. a) What is the probability that 1
JulijaS [17]

Answer:

a) 14.46%

b) 0.00%

c) 1.54%

Step-by-step explanation:

According to the survey, 10% of Americans are afraid to fly.

This means p=0.10 and q=1-0.10=0.90.

If 1100 Americans are sampled, then the sample size is n=1100 .

The mean of the distribution is \mu=np.

This means \mu=1100\times 0.10=110

The standard deviation is \sigma=\sqrt{npq}

We substitute the values to get:

\sigma=\sqrt{1100\times 0.1\times 0.9}=9.95

a) We want to find the probability that 121 or more Americans in the survey are afraid to fly.

We first apply the continuity correction factor to get: P(X\ge121)=P(X\:>\:121-0.5)\\P(X\ge121)=P(X\:>\:120.5)

We now convert to Z-scores to get:

P(X\:>\:120.5)=P(z\:>\:\frac{120.5-110}{9.95})=1.06\\

From the standard normal distribution table P(z>1.06)=0.1446

As a percentage, the probability is 14.46%

b) We want to find the probability that 165 or more Americans in the survey are afraid to fly.

We apply the CCF to get:

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We convert to z-scores:

P(X\:>\:164.5)=P(z\:>\:\frac{164.5-110}{9.95})=5.48

From the normal distribution, P(z>164.5)=0

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We want to find the probability that 88 or less Americans in the survey are afraid to fly.

We apply the CCF to get:

P(X\le88)=P(X\:

We convert to z-scores:

P(X\:

From the normal distribution, P(z>\:-2.16)=0.0154

As a percentage, we get 1.54%

3 0
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spayn [35]

Answer:

Commissions:

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Step-by-step explanation:

18p + 21a = 204

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