Find the perimeter of the triangle if the area of the triangle is 168 ft2

A company received 15 funding applications and want to select 8 of them to be funded. The number of different lists of successful applications is 6,435

Suppose we have n objects in total and we want to select r objects among total objects, the number of ways they can be selected is given by the combination formula:

ⁿCr = n! / [r! (n-r)!]

Data from the problem:

n = total applications = 15

r = number of selected applications = 8

Hence, the number of different lists of successful applications is:

¹⁵C₈ = 15! / [8! (15-8)!]

       = 15! / [8! 7!]

       = 6,435

Thus, the number of different lists can be selected is 6,435

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The expected value is 11.134

The expected value can be calculated as:

EV = ∑xₙ*pₙ

Where xₙ is the n-th outcome. For the case of the spinner we have 2 possible outcomes:

x₁ = 9

x₂ = 4

And pₙ is the probability of the n-th event.

For the case of  each spinner, the probability of each section will be equal to the quotient between the degrees of each arc, and the total number of degrees in a circle (360°).

First, we can see that for outcome = 9, the angle is a right angle, then it is equal to 30°, then the probability of this event will be:

p₁ = 30°/360° = 0.083

And the angle for the second arc must be such that:

30 + A = 360°

A = 360 - 30 = 330

Then the probability for the outcome = 4 is:

p₂ = (330°/360°) = 0.916

Now we can find the expected value as:

EV = (*9 x 0.083 + 4 x 0.916 ) = 11.134

Therefore, the expected value is 11.134

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Answer:

0.35 because above all the probs were below 50 meaning that it was hard for them to even score one goal per game

Step-by-step explanation:

Step-by-step explanation:

many greetings to your teacher, there are some definitions missing.

this can only be done if JM and LH are true diameters of the circle.

1. if LH is a diameter, then angles KAH + LAK = 180°.

KAH = 90° (right angle).

so,

angle LAK = 180 - 90 = 90°.

2.

with JM and LH being diameters, JAH = LAM = 42°.

JAH + JAK = 90°.

angle JAK = 90 - 42 = 48°.

3. angle LAJ = LAK + JAK = 90 + 48 = 138°.

4. see also 2.

these are angles of intersecting lines (diameters). they must be the same on both sides of such an intersected line (just left-right mirrored).

JAH = LAM = 42°.

5. angle KAM = LAK + LAM = 90 + 42 = 132°.

6. arc angle LK = angle LAK = 90°.

7. arc angle JK = angle JAK = 48°.

8. arc angle LMG = angle LAG = 180 - HAG =

= 180 - 30 = 150°.

9. arc angle JH = angle JAH = 42°.

10. arc angle KLM = angle KAM = 132°.

Answer:

a= g=9.81 m/s square

Mass given to us = 30 kg

Therefore we have to find the acceleration of the object,

As there is no air and mass is irrelevant in free fall, the acceleration the object experiences will be equal to the force of gravity. On our planet, the gravitational pull on an item falling there is approximately:

9.81 m/s square.

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Answer: 12

is the rounded answer using the Pythagoras theorum.

:) hope it's right:)

Step-by-step explanation:

Answer: 21.5 hrs

Step-by-step explanation:

40 - 18.5 = 21.5 hours left

Answer:

21.5

Step-by-step explanation:

hope it helps

Answer:less than

Step-by-step explanation:304 is a smaller number than 340

The required simplified solution of the given expression is given as ±√10.

Given that,
To determine the simplified solution of x² = 10, by factorization.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
x² = 10
Taking square root on both sides,
x = ±√10

Thus, the required simplified solution of the given expression is given as ±√10.

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Answer:

the first one 792 ft²

Step-by-step explanation:

you do length times width times height = lxwxh

Answer: 6 8/15

Step-by-step explanation:

First, we have to recognize that if the current number of girls in the class is a 15% increase from last year, then this year's number is 115% of last year's number.  

With that, we can set up a proportion comparing last year to this year, in both percentages and numbers:

     [tex]\dfrac{100}{115} = \dfrac{x}{15}[/tex]

Note that both numerators are last year's values and the denominators are this year's values.

If we multiply both sides by 15, we have that x ≈ 13.043478260869565.  Since we're dealing with whole people, we'd say that there were 13 girls in the class last year.

Answer:

1/4

Step-by-step explanation:

3/4 divided by 3=1/4

The probability of being more than 135 false-positive result is equal to 0.0853.

As given in the question,

Probability of false positive 'p' = 1/125

                                                   = 0.008

Number of people tested 'sample size n' = 15,000

Mean 'μ' = np

              = 15000 × 0.008

              = 120

Standard deviation 'σ' = √n × p × ( 1 - p )

                                    = √15000 × 0.008 × ( 1 - 0.008)

                                    =√ 15000 × 0.008 × 0.992

                                    = √119.04

                                    = 10.9

z = (X - μ) /σ

Approximate probability of being more than 135 false-positive results

= P( X > 135)

= P[( X - μ )/σ > ( 135 - μ)/σ

= P ( z > (135 - 120)/ 10.9)

= P ( z > 1.37)

= 1 - P ( z ≤ 1.37)

= 1 - 0.9147  

= 0.0853 ( from z table)

Therefore, probability of being more than 135 false-positive results is equal to 0.0853.

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Answer: (a) It appears to take the same amount of time to serve each customer.  Predicted amount of time to serve 9 customers: 27

(b) Each dollar spent appears to earn the same number of points. 80 points : $8

The amount of error that you will accept in the upper tail of the confidence interval as follows

The amount of error that will accept in the upper tail is = 13.97

Amount of error = margin of error

Margin of error = [tex]Z\frac{\alpha }{2} \frac{s}{\sqrt{n} }[/tex]

93% = confidence interval =1- [tex]\alpha[/tex]

=1-.93

=0.07

Hence [tex]\frac{\alpha }{2}[/tex] =0.035

[tex]Z\frac{\alpha }{2} or t\frac{\alpha }{2} = 1.81[/tex]

This problem represents two tail test because a two-tailed test is a method in which the critical area of a distribution is two-sided and tests whether a sample is greater or less than a range of values.

And confidence interval are always two tailed.

So margin of error = [tex]1.81x\frac{1.99}{\sqrt{40} }[/tex]

= 0.57

Upper tail C.I = x + margin of error

=13.4+0.57

=13.97

Lower tail C.I = x - margin of error

= 13.4 - 0.57

=12.83

Hence the answer is, the amount of error that will accept in the upper tail is = 13.97.

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Marcy got only 1 correct answer.

The relationship in quantity, amount, or size between two or more things in proportion.

Given that, the ratio of words corrects to wrong is 1:4

She got 4 wrong answers so, her correct answers count = 1

Hence, the Marcy answered only one correct answer.

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Answer: 0.8412

Step-by-step explanation:

Its phase is 60 degrees and π/3 radian

From the question, we have

Each complete cycle measures 360 degrees.

So, 1/6 cycle = 1/6 × 360° = 60°

Each complete cycle measures 2π radian.

So, 1/6 cycle = 1/6 × 2π = π/3 radian

Multiplication:

In mathematics, multiplying two or more numbers yields the product of the numbers. One of the basic mathematical operations is one that we commonly perform. The most obvious example is using multiplication tables. Mathematicians multiply two integers to illustrate the process of repeatedly adding one number to another. The types of numbers that can be included include natural numbers, fractions, integers, whole numbers, and others. When M is multiplied by n, it either adds or subtracts from itself 'n' times.

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The decimal form of the number of filed goals Emily made is 0.32

Total number of attempts Emily made = 25

Total number of field goals = 8

We need to represent the filed goals in decimal

What is decimal?

A decimal is a number that includes a whole and a fractional part. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.

feild goals is 8 out of 25

so, it is 8/25

= 0.32

Therefore, the decimal form of the number of filed goals Emily made is 0.32

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Answer:923.36

Step-by-step explanation:

If a shoe size of 6 is added to the data, there wouldn't be any change in the IQR. Therefore, the correct answer option is: B. the IQR remains a 2.

IQR is an abbreviation for interquartile range and it can be defined as a measure of the middle 50% of data values when they are ordered from lowest to highest.

Mathematically, interquartile range (IQR) is the difference between quartile 1 (Q₁) and quartile 3 (Q₃):

IQR = Q₃ - Q₁

Based on the given data set, the following interquartile ranges was calculated by using Microsoft Excel:

Now, the interquartile range (IQR) is given by:

IQR = Q₃ - Q₁

IQR = 8 - 2

IQR = 2

Adding a shoe size of 6 to the data set, the first and third and interquartile ranges remained the same, which implies that the interquartile range (IQR) would remain as two (2).

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Answer: The IQR stays the same therefor the option is "the IQR remains a 2."

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

YES  function  because there is only ONE value of Y for each value of X

The equivalent expression by commutative property is,

4g + 13 = 13 + 4g

Commutative property :

According to the commutative property, the numbers we use can be moved around or switched around without changing the result.

a +b =b+a

The given expression is 4g +13

The equivalent expression by the commutative property is

4g +13 = 13 +4g

For g = 10,

4(10) + 13 = 13 + 4(10)

40 +13 = 13 +40

53 = 53

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The inequality that can be used to determine the maximum number of days, d, Taylor can afford to rent for while staying within her budget is $37. 93(d) + $0. 11(50) < $300 or d < 7.76.

Inequality is defined as the relationship between non-equal numbers or expressions separated by <, >, ≤, or ≥.

Let d be the maximum number of days Taylor can afford to rent for while staying within her budget.

If a rental car company charges $37. 93 per day to rent a car and $0. 11 for every mile driven, and Taylor plans to drive 50 miles, then it will cost her $37. 93(d) + $0. 11(50).

If she has $300 at most to spend, then the inequality should be d < 7.76

$37. 93(d) + $0. 11(50) < $300

37. 93d + 5.5 < 300

37. 93d < 294.5

d < 7.76

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Answer:

See below

Step-by-step explanation:

3 * 3 = 9 obviously

a negative number times a negative number equals a positive number

  so   -3  * -3 = + 9

Answer:

B=4

Hope that helps! :)

Answer: THERE ARE NO RESTRIcTIONS

Step-by-step explanation: X cancels out every number

Answer:

Square root of 45

Step-by-step explanation:

Using pythagoras theorem:
6^2+3^2 = 36+9 = 45

which is [tex]\sqrt{45}[/tex]