state whether the following statements are true or false mathematics.
[tex] \geqslant[/tex]
​

Answer:

first blank is "Permutation", i dont know what the second blank is but its not 17550

Step-by-step explanation:

This is an example of a permutation. There are 421,200 possible arrangements of first through fourth place winners.

"A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order."

We need to arrange 27 swimmers for 4 positions

Hence, the numbers are 27P4

= [tex]\frac{27!}{(27-4)!}[/tex]

[tex]=\frac{27.26.25.24.23!}{23!}[/tex]

[tex]=421,200[/tex]

Hence, the given situation is an example of permutation with 421,200 possible arrangements.

To learn more about permutation here

https://brainly.com/question/1216161

#SPJ2

Answer:

0.375 = 37.5% probability that two of the coins will land ‘heads’ up

Step-by-step explanation:

For each coin, there are only two possible outcomes. Either it lands heads, or it lands tails. The probability of a coin landing heads is independent of any other coin. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

Four well-balanced coins.

This means that [tex]n = 4, p = 0.5[/tex]

What are the odds that two of the coins will land ‘heads’ up?

This is P(X = 2).

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

[tex]P(X = 2) = C_{4,2}.(0.5)^{2}.(0.5)^{2} = 0.375[/tex]

0.375 = 37.5% probability that two of the coins will land ‘heads’ up

Answer:

2.02 may be I thinks tell me if it's right

Answer:

28.8 min

Step-by-step explanation:

48 x 40% = 19.2

48-19.2 = 28.8

Answer:

Mean is 402

Median is 400

Mode is 480

Range is 184

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mean: 402

296, 352,368, 384, 416, 440, 480, 480

Range: 184

Median: 592

Mode: 480

Answer: y/3x

Step-by-step explanation: 3 times x is 3x, so y/3x

Answer:

Step-by-step explanation:

[tex]\frac{3}{x}[/tex] = [tex]\frac{2}{5}[/tex]

2x = 15

x = 7.5

Answer:

B and E

Step-by-step explanation:

15 divided by 12 is =1.25

1.25 ti.es 36 rooms =45 hours

Answer:

it would be 0.4 to the power (exponent) of 3

Step-by-step explanation:

should the answer be 0.4^3

(hope this helps can i plz have brainlist :D hehe)

Answer:

You would find the area if each individual shape inside the shape and then add all the areas together to get your final product

Answer:

true

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

the perimeter of a triangle = sum of the side lengths

A right angled triangle has a 90 degree angle and two other sides that sum up to 90 degrees. this makes the sum of angles 180 degrees  

Answer:

150°

Step-by-step explanation:

Consider OACB,

Here <CAO =<CBO= 90° ( As they are tangents)

<ACB= 30°

Now, <CAO +<CBO+<ACB+x= 360°

90°+90°+30°+x= 360°

x= 150°

Hope it helps

Answer:

150°

Step-by-step explanation:

Construct a line OC, and consider the resulting triangles ΔOAC.

<AOB=(1/2)x

<CAO=90

<ACO=30/2=15

Angles in a triangle add to 180, so

90+15+(x/2)=180

x/2=75

x=150°

Answer: 7.5

Step-by-step explanation:

A1=1/2pir^2 A2=1/2pir^2

1/2(121pi) 1/2(16pi)

5.5 2

The area of a composite shape is the sum of the areas of its individual shapes

The area of the composite shape is 215.20 square feet.

From the figures, we have the following shapes

The area (A) of a semicircle is:

[tex]\mathbf{A = \frac{\pi d^2}{8}}[/tex]

So, the area of the composite shape is:

[tex]\mathbf{A = \frac{\pi (d_1^2 + d_2^2)}{8}}[/tex]

This gives

[tex]\mathbf{A = \frac{\pi (22^2 + 8^2)}{8}}[/tex]

[tex]\mathbf{A = \frac{\pi (548)}{8}}[/tex]

[tex]\mathbf{A = 68.5\pi}[/tex]

[tex]\mathbf{A = 215.20}[/tex]

Hence, the area of the composite shape is 215.20 square feet.

Read more about areas at:

https://brainly.com/question/16741417

Answer:{x,y,z} = {85/24,-1/6,25/24}

Step-by-step explanation:

Answer:

x=23

Step-by-step explanation:

solved the variable

Answer:

x = 23

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 3x + 3 + 85 = 180

4x + 88 = 180

4x = 180 - 88

4x = 92

x = 23

9514 1404 393

Answer:

  28 m²

Step-by-step explanation:

The area of the dilated figure is the original area multiplied by the square of the dilation factor.

  A' = 7²×A

  A' = 49×(4/7 m²) = 28 m²

The area of the dilated rectangle is 28 m².

Answer:

Apply the distributive property.

2x3+4−−x2−(3x)2x3+4--x2-(3x)

Multiply −−x2--x2.

Tap for fewer steps...

Multiply −1-1 by −1-1.

2x3+4+1x2−(3x)2x3+4+1x2-(3x)

Multiply x2x2 by 11.

2x3+4+x2−(3x)2x3+4+x2-(3x)

Multiply 33 by −1-1.

2x3+4+x2−3x2x3+4+x2-3x

Move 44.

2x3+x2−3x+4

Answer:

Step-by-step explanation:

The shape of the container isn’t changing here, so the height of the water will be proportional to the volume. 75 cm^3 is ¾ of 100 cm^3, so the water will rise ¾ as high.

¾ of 8 cm is 6 cm.

Answer:

Its C

Step-by-step explanation:

Answer:

1.627 miles

Step-by-step explanation:

Longest distance: 2.55 miles

Shortest distance: 0.923 miles

difference: 2.55 miles - 0.923 miles = 1.627 miles

Answer:

Perimeter = 16 feet

Total Surface Area = 24 sq ft.

Step-by-step explanation:

Let's assume that each square is equal to 1 foot. Using this we can estimate the perimeter and area as the following. For perimeter, we simply add all the squares distances surrounding the shaded object.

Perimeter = 16 feet (4 feet for the top and bottom and 2 feet every diagonal)

For the area, we need to calculate the area of the square in the middle and then the area of the two triangles.

Square = L * W

Square = 4 * 4

Square = 16 sq ft

Triangle = 0.5 * Base * Height

Triangle = 0.5 * 4 * 2

Triangle = 4 sq ft

Both triangles = 4 sq ft * 2 = 8 sq ft.

Now we add both area totals:

Total Surface Area = 16 + 8

Total Surface Area = 24 sq ft.

Answer:

$270

Step-by-step explanation:

Answer:

$120.00

Step-by-step explanation:

She earned $120 because 30% of 400 is 120.

Sorry if I'm wrong.

Please mark me as Brainliest.