triangle abc is similar to triangle fgh solve for x

Answer:

352 students

Step-by-step explanation:

Given

See attachment for table

[tex]n = 400[/tex]

Required

Attendance of students in this year's show

First, we calculate the mean of the table

[tex]Mean= \frac{\sum x}{n}[/tex]

So, we have:

[tex]Mean= \frac{85\% + 91\% + 92\% + 87\% +84\% + 89\%}{6}[/tex]

[tex]Mean= \frac{528\%}{6}[/tex]

[tex]Mean= 88\%}[/tex]

Multiply the mean by the total students

[tex]Expected = Mean * n[/tex]

[tex]Expected = 88\% * 400[/tex]

[tex]Expected = 352[/tex]

Answer:352

Step-by-step explanation:

You basically just find the mean

Answer:

160,000,000,000,000

Step-by-step explanation:

M= 200,000,000,000,000

P= $40,000,000,000,000

200,000,000,000,000 - 40,000,000,000,000=

160,000,000,000,000

All you have to do is do 10x10 14/13 times or cause it's 10 just add 14/13 zeros

Answer:

(2×10^14)/(4×10^13) = 5

Star M is 5 times farther from earth than Star P.

Answer:

4 3/4

Step-by-step explanation:

= (8 - 3) + (1/4 - 1/2)

= 5 + 1/4 - (1 x 2 over 2 x 2)

= 5 + 1/4 - 2/4

= 5 and (1/2 over 4)

= 5 + -1/4

= 4 3/4

Answer:

[tex]Pr = 0.67[/tex]

Step-by-step explanation:

Given

[tex]Start = 8:10:00[/tex]

[tex]End = 8:21:59[/tex]

[tex]You = 8:18:00[/tex]

Required

Chances that you missed the appointment

First, calculate the number of minutes of the radio station

[tex]n = End - Start[/tex]

[tex]n = 8:21:59 - 8:10:00[/tex]

[tex]n = 11\ min\ 59\ secs[/tex]

Convert to seconds

[tex]n = 719[/tex]

Since you turn on at 8:18:00, then you've missed the broadcast from the start till 8:18:00

So, we have:

[tex]Missed = 8:17:59 - 8:10:00[/tex]

[tex]Missed = 7\ mins\ 59\ secs[/tex]

Convert to seconds

[tex]Missed = 479[/tex]

The probability that you missed is:

[tex]Pr = \frac{Missed}{n}[/tex]

[tex]Pr = \frac{479}{719}[/tex]

[tex]Pr = 0.67[/tex]

Answer:

Step-by-step explanation:

Answer:

Solution given:

-2(3x+12y-5-17x-16y+4)

-6x-24y+10+34x+32y-8

34x-6x+32y-24y+10-8

28x+8y+2 is a required answer.

Answer:

10 + 30x

Step-by-step explanation:

Answer:

-10 - 30x

Step-by-step explanation:

-10 (1 + 3x)

(-10 · 1) + (-10 · 3x)

-10 + -30x

-10 - 30x

Answer:

False

Step-by-step explanation:

Because the red line on the right is shorter then the one on the left, hope this helps.

Answer:

[tex] x =63^o[/tex]

Step-by-step explanation:

Given :-

We know that the tangents are perpendicular to the radius at the point of contact . And here OLMN is a quadrilateral. Also we know that , the angle sum property a triangle is 360° .

According to question :-

[tex]\implies x + 117^o + 90^o +90^o = 360^o \\\\\implies x + 297^o = 360^o \\\\\implies x = 360^o - 297^o \\\\\implies x = 63^o [/tex]

Hence the value of x is 63° .

Answer:

I think the answer is option 2

3 is the correct choice

Answer:

0,0

Step-by-step explanation:

In adjoining the figure to find the coordinates of point P the distance of P from y-axis is 0 units and the distance of P from x- axis is 0 units

Answer: 8

Step-by-step explanation: in this problem n=3 so you are to substitute 3 in for the variable n.

3*2+2

3*2=6

6+2=8

g(3)=8

Hope this helps (^_^)

Answer:

8

Step-by-step explanation:

g(3) means to plug 3 in as the n-value

g(3)= (3)2+2

=6+2

g(3)=8

Answer: there you go! I hope this helps!

Step-by-step explanation:

The statement second is correct because the end behavior is that as x = ±∞ , f(x) → 0

A limit is a value at which a function approaches the output for the given values in mathematics. Limits are used to determine integrals, derivatives, and continuity in calculus and mathematics.

We have a function:

[tex]\rm f(x) = \frac{7x^2+x+1}{x^4+1}[/tex]

Applying limit:

[tex]\lim_{x \to \pm \infty} \rm f(x)[/tex]

[tex]\rm \lim_{x \to \pm\infty} \frac{7x^2+x+1}{x^4+1}[/tex]

Divide by x^4 on the numerator and denominator, we get:

[tex]\rm \lim_{x \to \pm\infty} \frac{7/x^4+1/x^3+1/x^4}{1+1/x^4}[/tex]

So the value of the limit will be zero whereas x tends to ±∞

Thus, the statement second is correct because the end behavior is that as x = ±∞ , f(x) → 0

Learn more about the limit here:

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Answer:

c=4√2

Step-by-step explanation:

Sine the triangle is a right triangle you can use the Pythagorean theorem. a^2+b^2=c^2

(4)^2+(4)^2=c^2

16+16=c^2

32=c^2

c=√32

c=4√2

I believe since you are looking for the angle of M<ABC, you just add both 120 and 25 together, since they practically share a point.

So 120 + 25 = 145

So I guess 145 would be your answer.

I remembered this type of problem from Geometry.

Alrighty, so,  you know how young children often believe that a taller container will have a greater volume than a shorter container? Even after seeing that both containers hold the same amount, some children will still think the taller container holds more. It may take measuring the water a few times before they get it.

If it overflows, the first container is bigger, or is able to hold more water. If all of the water from the first container can be poured into the second container without completely filling it, then the second container holds more water.

The tallest container holds the most liquid. Identical containers can have a different capacity.

Answer:

D-Ability to access cash value

The statement which is not a characteristic of term life insurance is B) Coverage can be denied upon renewal.

Term life insurance is the simplest form of the life insurance which is a death benefit which pays the policyholder when lives or their heirs when they died.

Here,

Term life insurance has to be renewed periodically.

The coverage of the term life insurance can be extended by renewing it. So it cannot be denied upon renewal.

In term life insurance, it will paid out if you die.

There is a characteristic of ability to access cash value in term life insurance.

Hence the characteristic which is not that of the term life insurance is option B) Coverage can be denied upon renewal.

Learn more about term Life Insurance here :

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Answer:

31

Step-by-step explanation:

y+y=y+31

2y-y=31

y=31°

Answer:

9.8765446e+32

im smart brainlest plz

Step-by-step explanation:

Answer:

9.877x10`32

Step-by-step explanation:

The fact that I actually spent time to put that into my calculator

Answer:

The answer is "0.425".

Step-by-step explanation:

The  T be a requirement today that such rains.

The Y be a situation yesterday that now it rained.

The O is a condition for tomorrow to rain.

[tex]P(O| (Y\ AND \ T)) = 0.8\\\\P(O|(Y \ AND \ NOT\ (T)) =0.3\\\\P( O|(NOT \ (Y)\ AND\ T)= 0.4\\\\P( O| NOT\ (Y) \ OR \ NOT \ (T)) =0.2[/tex]

There Arena and morrow overview To Aspects Which will rain:

[tex]Y\ AND \ T, Y \ AND \ NOT \ (T),\ NOT\ (Y) \ AND\ T, \ NOT(Y)\ OR \ NOT(T)[/tex]

Each has the option of [tex]\frac{1}{4}[/tex] INDEPENDENTLY happening.

Its possibility of tomorrow's rain is:

[tex]P(O) = P(O | Y\ AND\ T) P(Y\ AND\ T) + P(O|(Y \ AND \ NOT\ (T))[/tex]

       [tex]P((Y\ AND \ NOT\ (T)) + P(O|(\ NOT\ (Y) \ AND \ T))P(\ NOT\ (Y) \ AND\ T) \\\\+ P( O| \ NOT\ (Y)\ OR\ NOT\ (T)) P(\ NOT\ (Y)\ OR\ NOT\ (T))\\\\[/tex]

      [tex]=0.8\times \frac{1}{4} +0.3\times \frac{1}{4}+0.4\times \frac{1}{4}+0.2\times \frac{1}{4}\\\\ =\frac{1}{4}(0.8+0.3+0.4+0.2)\\\\= \frac{1.7}{4}\\\\= 0.425[/tex]

Answer:

The one on the bottom left

Step-by-step explanation:

Have a wonderful Day

The probability that this person liked the tea, given that the person is female is P = 0.806

The probability will be given by the quotient between the number of females that liked the tea and the total number of females in the experiment.

We know that there are 25 + 6 = 31 females in the experiment, and 25 of them liked the tea, then the probability that a random female likes the tea is:

P = 25/31 = 0.806

If you want to learn more about probability:

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Answer:

the answer would be 10x-5

Step-by-step explanation:

Because u multiply the 5 by each number within the parentheses.

Step-by-step explanation:

here u go ..ntgs different hope this will too helps ..stay safe

Answer:

11/40

Step-by-step explanation:

Don't ask I just went to see the solution but that's the answer

Answer:7/18

Step-by-step explanation:

Answer:

Part A

c = p + 55h

Part B

$362

Step-by-step explanation:

Dawson's Garage charges $55 per hour to do car repairs plus the cost of the parts.

Part A

h = the number of hours

p = the cost of the parts

c = the total cost of the repairs.

The equation to model this situation is written as:

c = p + $55 × h

c = p + 55h

Part B

What will the cost of the repairs be if the parts cost $142 and it takes 4 hours to do the repairs?

From the above question:

p = $142

h = 4

Since our equation =

c = p + 55h

Hence,

c = 142 + 55 × 4

c = 142 + 220

c = 362

Therefore, the cost of repairs = $362

Answer:

---

Step-by-step explanation:

Convert the fraction to a decimal(40% = 40/100 = 0.4). Multiply it by 120.

0.4x120=a

---

hope it helps

The equation 40 ÷ 100 × 120 = a shows

the relationship 40% of 120 is a

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side).

'An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.'

For example, 3x + 5 = 15.

Given,

Relation, 40% of 120 is a

⇒ 40% × 120 = a

Above relation can be written in equation as

40 ÷ 100 × 120 = a

Hence, 40 ÷ 100 × 120 = a is the equation

for relation such that  40% of 120 is a.

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Answer: [tex]1809.792\ m^3[/tex]

Step-by-step explanation:

Given

The diameter of the cylinder is [tex]d=12\ cm[/tex]

height of the cylinder is [tex]h=16\ cm[/tex]

The volume of a cylinder is given by

[tex]V=\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow V=\pi \times 6^2\times 16\\\Rightarrow V=3.142\times 576\\\Rightarrow V=1809.792\ m^3[/tex]

The volume of the cylinder is [tex]1809.792\ m^3[/tex]