find the missing side of each triangle

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Answer:

C. x=-2 and x=7

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This question is incomplete, the complete question is;

Suppose that a random sample of eighteen recently sold houses in a certain city has a mean sales price of $280,000, with a standard deviation of $10,000. Under the assumption that house prices are normally distributed, find a 95% confidence interval for the mean sales price of all houses in this community. Then find the lower limit and upper limit of the confidence interval.

Answer:

At 95%, confidence interval is ( 275026.7, 284973.3 )

Hence;

Lower limit = 275026.7

Upper limit = 284973.3

Step-by-step explanation:

 Given that;

mean x = $280,000

standard deviation σ = $10,000

sample size n = 18

degree of freedom df = n - 1 = 18 - 1 = 17

∝ = 1 - 95% = 1 - 0.95 = 0.05  

so

Critical t value = tinv( 0.05, 17 ) = 2.11

now, at 95% confidence interval for mean will be;

⇒ x ± [ Critical t value × ( σ/√n) ]

so we substitute

⇒ 280,000 ± [  2.11 × ( 10000/√18) ]

⇒ 280,000 ± [  2.11 × 2357.0226 ]

⇒ 280,000 ± 4973.3

⇒ 280000 - 4973.3, 280000 + 4973.3

At 95%, confidence interval is ( 275026.7, 284973.3 )

Hence;

Lower limit = 275026.7

Upper limit = 284973.3

Step-by-step explanation:

x/4 - 9 = -1

×/4 = -1 + 9

x/4 = 8

4 (x/4) = 4 (8)

x = 32

Answer:

32

Step-by-step explanation:

(Quotient of a and b = a/b)

Let the number = x

Quotient of the number and four: x/4

9 subtracted from the quotient of the number and four: x/4 - 9

-1 is the result of 9 subtracted from the quotient of the number and four: x/4 - 9 = -1

x/4 -9 = -1

x/4 = 8

x = 32

Answer:

As a plumber charges a customer a one-time service fee of $ 79, $ 62 per hour for labor, and a surcharge of $ 15 per hour due to the call being an emergency, to write an expression to represent the total charges for the plumber in two different ways, with H representing the number of hours the job takes, the following equations should be formulated:

Option 1:

Fixed amount + amount per hour multiplied by the number of hours + emergency amount multiplied by the number of hours = X

79 + 62H + 15H = X

Option 2:

Fixed amount + sum of emergency amount and the amount per hour multiplied by the number of hours = X

79 + ((62 + 15) x H) = X

Answer:

t = 22.22 s

Step-by-step explanation:

Given that,

The initial speed of the train, u = 40 km/h

Acceleration of the train, a = 0.5 m/s²

Finally, it stops, v = 0

We need to find the time taken by it to stop. using first equation of motion to find it such that,

[tex]v=u+at\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{0-40\times \dfrac{5}{18}}{-0.5}\\\\t=22.22\ s[/tex]

So, it will take 22.22 seconds to stop.

Answer:

<7

Step-by-step explanation:

Answer:

<7

Step-by-step explanation:

I think anything across wouldnt be congruent

Answer:

0

Step-by-step explanation:

Answer:

n = 19.

Step-by-step explanation:

If there are x guinea pigs then there are 3/2 x and 2/3 x rats.

So n = x + 3/2 x + 2/3 x

n = 19x / 6

19x = 6n

Let x = 6 , then n = 19*6 / 6 = 19.

Now n and x must be whole numbers so x is 6 and n = 19 are the smallest possible values.

Answer:

12%

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

Answer Correct me if I'm wrong but I believe it is 4 dollars and 62 cents.        (4.62$)

Step-by-step explanation:

Answer:2x-6

Step-by-step explanation:

simplify the expression

2x-6

Answer:

2x - 6

Step-by-step explanation:

(x − 3)2

2 · x = 2x

2 · (-3) = -6

Combined:

2x - 6

Given,

Number of pieces = 24

Number of packages = 3

Each package has the same number of pieces.

So,

Number of pieces in 1 package

= Number of pieces / Number of packages

= 24 / 3

= 8

Answer:

x = 7

Step-by-step explanation:

Based on the angle bisector theorem, we would have the following equation:

21/(3x - 12) = 14/6

21/(3x - 12) = 7/3

Cross multiply

(3x - 12)*7 = 3*21

21x - 84 = 63

21x - 84 + 84 = 63 + 84

21x = 147

21x/21 = 147/21

x = 7

Answer:

C

Step-by-step explanation:

Answer: Neither

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

When you withdraw, you take away, so it is a negative value.

Answer: -11

Answer:

B. 0.067

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Number of arrangements:

The number of possible arrangements of n elements is given by:

[tex]A_{n} = n![/tex]

Desired outcomes

First red(10 - (5+2) = 3 possible)

Last red(2 possible).

Middle 8 arranged in any way.

So

[tex]D = 3*A_{8}*2 = 3*8!*2 = 241920[/tex]

Total outcomes:

Arrangements of 10 elements. So

[tex]T = A_{10} = 10! = 3628800[/tex]

What is the probability that the first and last blouse are both red?

[tex]p = \frac{D}{T} = \frac{241920}{3628800} = 0.067[/tex]

The correct answer is given by option B.

Answer:

4b - 5

is the answer

Given:

The figure of triangle GHI and a circle M inscribed in the triangle.

To find:

The perimeter of the triangle.

Solution:

We know that the lengths of the tangent on a circle from same exterior point are always equal.

[tex]JH=HK[/tex]             (Tangent from point H)

[tex]6x-11=2x+9[/tex]

[tex]6x-2x=11+9[/tex]

[tex]4x=20[/tex]

Divide both sides by 4.

[tex]x=\dfrac{20}{4}[/tex]

[tex]x=5[/tex]

Now,

[tex]JH=6x-11[/tex]

[tex]JH=6(5)-11[/tex]

[tex]JH=30-11[/tex]

[tex]JH=19[/tex]

In the same way,

[tex]GJ=GL[/tex]             (Tangent from point H)

[tex]IK=IL[/tex]             (Tangent from point H)

From the figure, it is clear that,

[tex]IL=GI-GL[/tex]

[tex]IL=40-GJ[/tex]

[tex]IL=40-23[/tex]

[tex]IL=17[/tex]

The perimeter of the triangle GHI is:

[tex]Perimeter=GH+HI+GI[/tex]

[tex]Perimeter=(GJ+HJ)+(HK+IK)+(GL+IL)[/tex]

[tex]Perimeter=(23+19)+(19+17)+(23+17)[/tex]

[tex]Perimeter=118[/tex]

Therefore, the perimeter of the triangle GHI is 118 units.

Answer:

x - 5 < -2

Answer is there

Answer:0.0064516129

Step-by-step explanation:

Answer:

Substituting 4 for x:

ƒ(4) = 3(4 - 5)

ƒ(4) = -3

So, ƒ(4) = -3

Hopefully you understand now!

The answer is letter H

Answer:

D (6, 21)

Step-by-step explanation:

Since the ratio of the corresponding values of x and y given in the table is 2 : 7

So, 6/ 21 = 2/7 = 2: 7

Thus, D (6, 21) is the correct answer.

Answer:

Number of bacteria when t = 10 min is 3,000

Step-by-step explanation:

Given:

Number of bacteria in a culture by equation

Q(t) = 2(729^t)

Value of t = 10 min = 10 / 60 = 0.1667 hour

where t is number of hours

Find:

Number of bacteria when t = 0.1667 hour

Computation:

Given equation

Q(t) = 2(729^t)

Put t = 0.1667

Q(10) = 2(729⁰'¹⁶⁶⁷)

We know that;

a⁰ = 1

So,

Q(0.1667) = 2(729⁰)

Q(0.1667) = 3

Number of bacteria when t = 0 is 3,000

Answer:

C is the answer

Step-by-step explanation:

Answer:

its -1.5

I got u trust me

aaaaaaaaa

Answer:

The area of the circle is 71.62m²

Step-by-step explanation:

hope is right

let me know if it is correct

A=C2

4π=302

4·π≈71.61972m²

Answer:

D. - 1/4

Step-by-step explanation: