True or false.

If two figures are similar and one is bigger than the other, the scale factor of bigger to smaller will be the same as the scale factor of smaller to bigger.

don't guess

Using the binomial distribution, it is found that:

3.1 There is a 0.5033 = 50.33% probability that he makes at most one sale.

3.2 There is a 0.8322 = 83.22% probability that he makes at least one sale.

3.3. There is a 0.4404 = 44.04% probability that he makes two or three sales.

3.4. There is a 0.0011 = 0.11% probability that he makes six sales.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

Item 1:

The probability that he makes at most one sale is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

Then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.2)^{0}.(0.8)^{8} = 0.1678[/tex]

[tex]P(X = 1) = C_{8,1}.(0.2)^{1}.(0.8)^{7} = 0.3355[/tex]

Then:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1678 + 0.3355 = 0.5033[/tex]

There is a 0.5033 = 50.33% probability that he makes at most one sale.

Item 2:

The probability that he makes at least one sale is:

P(X > 1) = 1 - P(X = 0) = 1 - 0.1678 = 0.8322.

There is a 0.8322 = 83.22% probability that he makes at least one sale.

Item 3:

The probability that he makes two or three sales is given by:

[tex]P(2 \leq X \leq 3) = P(X = 2) + P(X = 3)[/tex]

In which:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{8,2}.(0.2)^{2}.(0.8)^{6} = 0.2936[/tex]

[tex]P(X = 3) = C_{8,1}.(0.2)^{3}.(0.8)^{5} = 0.1468[/tex]

Then:

[tex]P(2 \leq X \leq 3) = P(X = 2) + P(X = 3) = 0.2936 + 0.1468 = 0.4404[/tex]

There is a 0.4404 = 44.04% probability that he makes two or three sales.

Item 4:

The probability that he makes six sales is P(X = 6), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{8,6}.(0.2)^{6}.(0.8)^{2} = 0.0011[/tex]

There is a 0.0011 = 0.11% probability that he makes six sales.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

p=FG+FH+HG =5.8+5.8+6 is a numerical expression to represent the approximate perimeter of triangle FGH.

The perimeter of a geometric figure is the sum of its sides.

The question  gives:

Therefore the perimeter will be the sum of 5.8, 5.8 and 6. You can write as:

                                         p=FG+FH+HG

                                         p= 11.6+6=17.6

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Answer:

8

Step-by-step explanation:

Answer:

it will be 8

Step-by-step explanation:

Answer:

c,e, d

Step-by-step explanation:

c,e,d is the correct to me

Step-by-step explanation:

30: 225 = 25: X

30/225= 25/X

30×X = 225×25

30X = 5625

X = 187.5

Answer:

Step-by-step explanation:

Out of 100 brownies ,4 were caramel.

Ratio of Caramel Brownies to Brownies: 4/100

If you further simplify it , 4/100 is the same thing as 1/25 , which can also be expressed as

Answer: 4% of the brownies were caramel

Answer:

[tex]\frac{x-3}{x+2}[/tex]

Step-by-step explanation:

[tex]\frac{3x^2+6x-45}{3x^2+21x+30}[/tex]                   Rewrite

[tex]\frac{x^2+2x-15}{x^2+7x+10}[/tex]                      Factor out GCF (3)

[tex]\frac{x^2+5x-3x-15}{x^2+5x+2x+10}[/tex]                 Replace b with factors

[tex]\frac{(x-3)(x+5)}{(x+5)(x+2)}[/tex]                     Factor by grouping

[tex]\frac{x-3}{x+2}[/tex]                               Final answer

For a more detailed explanation, please look at the help image attached. It shows each step on how to factor polynomials.

I hope this helps!

Using the Empirical Rule, it is found that her finishing time will be between 70 and 82 seconds in 95% of her races.

It states that, for a normally distributed random variable:

In this problem, the mean is of 76 seconds and the standard deviation is of 3 seconds, then:

76 - 2 x 3 = 70.

76 + 2 x 3 = 82.

Which means that values between 70 and 82 seconds are within 2 standard deviations of the mean, hence the percentage is of 95%.

More can be learned about the Empirical Rule at https://brainly.com/question/24537145

Answer:

a) x = -10

b) x = 7

Step-by-step explanation:

a)

2(x+3) = x - 4

==> distribute the 2

2x + 6 = x - 4

==> add 4 to both sides

2x + 10 = x

==> subtract 2x from both sides

10 = -x

==> divide both sides by -1

x = -10

b)

4(5x - 2) = 2(9x + 3)

==> distribute the 4 and 2

20x - 8 = 18x + 6

==> add 8 to both sides

20x = 18x + 14

==> subtract 18x from both sides

2x = 14

==> divide both sides by 2

x = 7

answer: FALSE

Step-by-step explanation:

V=Bh

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw .

Answer: 400

Step-by-step explanation:

If 5% of a number is 80, just multiply that number by 5 to get 25 (5 x 5 = 25) and you will get 400.

Answer:

81 square yards

Step-by-step explanation:

width- 9 ft

length- 9ft

width times length equals the area which is 81 square feet and if you multiply the height it is 729 which would be the volume.

Hope this helps.

BTW it's my birthday

Delete the comma if needed

================================================

Explanation:

The exponent of 5 means we move the decimal 5 spots to the right.

This has us go from 7.23 to 723,000

If the exponent was negative, then we'd move that amount to the left.

Answer:

Step-by-step explanation:

The total area of the face of the watch is 9.0 cm²

The polygon with six side is called a hexagon.

Given that, a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached.

height, h = apothem of the hexagon = 2 cm and

base, b = length of shorter base of trapezoid.

Area of the triangle

So, the area of this triangle is A = 1/2bh

= 1/2 × 1. 5 cm × 2 cm

= 1.5 cm × 1 cm

= 1.5 cm²

Area of the hexagon

Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A

= 6 × 1.5 cm²

= 9.0 cm²

So, total area of the face of the watch is 9.0 cm²

Learn more about area of a hexagon here:

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Answer:

[tex]S_{n}=315[/tex]

Step-by-step explanation:

[tex]a_{1}=7\\a_{2}=9\\a_{n}=35\\[/tex]

d=9-7=2

no of terms n,

[tex]n=\frac{a_{n-a_{1}} }{d} +1[/tex]

[tex]n=\frac{{35}-{7}}{2} +1[/tex]

[tex]n=15[/tex]

sum of series,

[tex]S_{n}=\frac{n}{2} (a_{1}+a_{n})\\\\S_{n}=\frac{15}{2} (7+35})\\\\S_{n}=315[/tex]

Answer:

152 inch

Step-by-step explanation:

The dimensions of tha coffee table are .

The perimeter of a rectangle is defined as , where  is the length and  is the width.

So, by given we have

If we use the formula for the perimeter of a rectangle and substitute each variable, then we would have

The perimeter of the coffee table is 152 inches.

Answer:

1) 16
2) 12
4) 4
5) 0

Step-by-step explanation:

Plug in the value for x in the equation above and solve for y for all 5.

Answer:

c = 9

Step-by-step explanation:

You're looking for a number so that when you use that number in place of x, you end up with 20.

f(x) = 3x - 7

f(c) = 3c - 7

20 = 3c - 7

Add 7

27 = 3c

Divide by 3

9 = c

Answer:

16

Step-by-step explanation:

0.20 x 80 = 16

We can double check this by dividing :)

16/80 = 0.20 = 20%

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

increase to 38 and have the unused ones in for maintenance

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Four years from now: h+4

Hozumi will be 2 years younger than 4 times her present age: 4h-2

h+4=4h-2

6=3h

h=2

Answer:

i) 8

ii) 9

Step-by-step explanation:

For i):

1 = million

7 = hundred thousand

8 = ten thousand place

3 = thousand

4 = hundred

2 = tens (twenty)

1 = unit (one)

For ii):

The successor of a number is the number that comes after the given number. The successor of a given number is 1 more than the given number. Every number has a successor by adding 1 to every number.

For instance, the successor of 0 is 1, the successor of 1 is 2, and so on.

In this case, the successor of 8 is 9 because 8 + 1 = 9

Hope this makes sense. If you need further explanation, let me know.

- profparis

Answer:

i)8

ii)1783429

Step-by-step explanation:

for i, count upto ten thousand and for ii, add 1 to the number

Answer:

24.85

Step-by-step explanation:

17.75/5 = 3.55

3.55 x 7 = 24.85 :)

Have an awesome day!

Please rate and mark brainliest!

Answer:

B. 32°

Step-by-step explanation:

Finding ∠S and ∠R

Similarly, ∠P = ∠Q (same reason as above)

Applying the Angle Sum Property of Quadrilaterals,

Finding the missing angles of the triangle

Applying the Angle Sum Property of Triangles,

Answer:

4π ft.

Step-by-step explanation:

Area = π r^2 = 4π =  π2^2

- so the radius  is 2 ft,

and the circumfrence = 2 π r

= 2*π*2

= 4π  ft.

The circumference of the circle is 4π feet.

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

The formula for the area A of a circle with radius r is given by:

A = πr²

We are given that the area of the circle is 4π ft², so we can set up the following equation:

4π = πr²

Dividing both sides by π, we get:

r² = 4

Taking the square root of both sides, we get:

r = 2

The circumference C of a circle with radius r is given by:

C = 2πr

Substituting r = 2, we get:

C = 2π(2) = 4π

Therefore,

The circumference of the circle is 4π feet.

Learn more about Circle here:

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Answer:

d = 2√34

Explanation:

Answer: y=.256x

Step-by-step explanation:

This line has the smallest coefficient for x.