Compute the following probabilities. Enter decimal value. Round to 2 decimal places.
P(boy and he likes swimming) =

Answer:

About 525 times.

Step-by-step explanation:

You have a 5 in 8 chance of getting a consonant originally. You should try to find an equal ratio except with 840 as the second number. As of now it's      5/8 = ?/840

8 is a factor of 840 and if you divide 840 by 8 you get 105. If you actually think about it 105/840 would be an equal ratio to 1/8 so you multiply 108 by 5 to get 525.

Answer:

3.8m

Step-by-step explanation:

If A, E and B lie on a straight line segment. C, D and B lie on a straight line segment, based on their similarities,

AB/CB = BE/BD

Given

BD = 3m,

CD = 12m

AB = 19m.

CB = CD+BD

CB = 12+3 = 15m

On substituting

19/15 = BE/3

Cross multiply

15BE = 19×3

15BE = 57

BE = 57/15

BE = 3.8m

Hence the length of BE is 3.8m

Answer:

53/20

Step-by-step explanation:

First convert 3 2/5 into 17/5

Now we need a like denominator for both fractions

20 works

lets convert 17/5 into 68/20

and 3/4 can turn into 15/20

68/20 - 15/20

53/20

Answer:     53/20   or   2  13/20

Step-by-step explanation:

hope this helps

Answer: V = The square root of (2K/M)

We are starting with the formula: K = 0.5MV^2

Our first steps to isolate V would be to multiply by 2 and divide by M on both sides of the equation.

2K/M = V^2

Now, we just have to take the square root of both sides of the equation

The equation rearranged for m is [tex]m = (2K) / v^2[/tex].

This equation allows us to calculate the mass (m) when the kinetic energy (K) and the velocity (v) are known.

To rearrange the equation [tex]K = (1/2)mv^2[/tex] for m, we can follow these steps:

Step 1: Multiply both sides of the equation by 2 to remove the fraction:

[tex]2K = mv^2[/tex]

Step 2: Divide both sides of the equation by[tex]v^2[/tex] to isolate m:

[tex](2K) / v^2 = m[/tex]

Therefore, the equation rearranged for m is [tex]m = (2K) / v^2[/tex].

This equation allows us to calculate the mass (m) when the kinetic energy (K) and the velocity (v) are known.

Learn more about rearranging equations here:

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Answer:

F

Step-by-step explanation:

for example point A is (3:6)

if we multiply the coordinates by 2/3 we have:

A1 (2; 4) that are the coordinate of the new point

Answer:

1) b⁵⁴

2) 7⁷

Step-by-step explanation:

When you have an exponent raised to an exponent, like in #1, you simply multiply the exponents.

When you are dividing two numbers with exponents and they have the same base, like in #2, you subtract the denominator exponent from the numerator exponent.

Answer:

247.21

Step-by-step explanation:

equation for height :  c= a2 + b2

4.82 + 9.32

≈10.46566

equation for surface area: A=5 /4tan(54°)a2+5a /2h2+(atan(54°) /2)2

5 /4·tan(54°)·72+5·7 /2·7.972+(7·tan(54°) /2)2

≈247.21018

round to nearest hundredth: 247.21

[tex]P = 154\\a = 2b + 2[/tex]

a = ?; b = ?

[tex]P = 2(a + b) = 2(2b + 2 + b) = 2(3b + 2) = 6b + 4[/tex]

[tex]154 = 6b + 4\\6b = 154 - 4\\6b = 150\\b = 150 : 6\\b = 25[/tex]

[tex]a = 2b + 2 = 2 * 25 + 2 = 50 + 2 = 52[/tex]

Answer: 25 and 52 m.

Answer: Store A: 7,000 Store B: 20,000

Step-by-step explanation:

The amount of shrinkage for store A is $7000 and for store B is $20000.

"If the selling price of an item is less than the cost price, then the difference between the cost price and the selling price of an item is called the loss".

For the given situation,

The merchandise book value for store A = $757,000

The merchandise book value for store B = $600,000

Based on physical inventory reports,

The merchandise value for store A = $750,000

The merchandise value for store B = $580,000.

The amount of shrinkage determines the loss and it is calculated by taking the difference between the values.

Store A = [tex]757000-750000[/tex]

⇒ [tex]7000[/tex]

Sore B = [tex]600,000-580000[/tex]

⇒ [tex]20000[/tex]

Hence we can conclude that the amount of shrinkage for store A is $7000 and for store B is $20000.

Learn know more about a loss here

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Answer:

4x + 2y

Step-by-step explanation:

( 2x - - 3y ) - ( - 2x + y )

→ Simplify

2x + 3y + 2x - y

→ Collect x and y terms

4x + 2y

Answer:

42

Step-by-step explanation:

[840/20]*1=42

Answer:

the correct answer is that the will be 42 teachers

Step-by-step explanation:

1/20x840

=42

Answer:

11 inches

Step-by-step explanation:

We know that [tex]SA=4\pi r^2[/tex]. We know that [tex]SA=379.94[/tex] and that [tex]\pi\approx3.14[/tex]. We solve for [tex]r[/tex]: [tex]379.97=4\times3.14\times r^2[/tex]

[tex]r^2=30.25[/tex]

[tex]r=5.5[/tex]

Since [tex]d=2r[/tex], the diameter of the sphere is 11 inches.

Answer:

9

Step-by-step explanation:

Answer:

6x+16+20=90

6x+36=180

6x=180-36

6x=144

x=144/6

x=26°

D. three more than Sam's age doubled

Answer:

D) three more than his age doubled

Step-by-step explanation:

192 cm

Step-by-step explanation:

Each bounce is 70% of the previous bounce so the fourth bounce is going to be 274 cm and the fifth is going to be 192 cm.

Step-by-step explanation:

these angles will add to 90 deg

90 = 22 + 2x

solve for x

Answer:

x = 34°

2x = 68°

Step-by-step explanation:

Both angles are complementary (add up to the sum of 90°), so we can say;

22 + 2x = 90°

2x = 90 - 22

2x = 68

x = 68 / 2

x = 34°

Furthermore:

If you have to find the value of 2x it would be 68, since

2x = 2(34) = 68°

Hope this helps!

Answer:

(2, 4)

Step-by-step explanation:

"What is the solution of this system of equations?"

Substitute 3x - 2 for y in the second equation, obtaining:

3x - 2 - 2 = x

Consolidate like terms:  subtract x from both sides and add 4 to both sides:

2x = 4.  Thus, x = 2.  Substituting 2 for x in the first equation, we get:

y = 3(2) -2 = 4.

Thus, the solution is (2, 4)

Answer:

Step-by-step explanation:

A = bh

A = 20 * 15.3 = 306 cm^2

Answer:

The Answer is 8.

Its the only Number that Multiplies itself three times to give 512.

So the Cube root of 512... Should be 8.

Answer:

8.

Step-by-step explanation:

512 = 64* 8

∛512 = ∛64 * ∛8

= 4 * 2

= 8.

9514 1404 393

Answer:

  $7.50

Step-by-step explanation:

The monthly interest rate is 3%/12 = 1/4%. The dollar amount of interest earned in 3 months is ...

  I = Prt = $1000(0.0025/mo)(3 mo) = $1000(0.0075) = $7.50

Answer:

$9132.5

Step-by-step explanation:

0.13 = 13%

0.13 times 70,250

$ 9132.5

Hello~

All you have too do is add!

27+6+98=

Simplify

27+6=33

Add again

33+98= 131

So its 131!

Ary~

Answer:

I believe it is $63.60..........

Answer:

1130

Step-by-step explanation: hope this helps <3

Answer:

Graph D

Step-by-step explanation:

< or > require a circle that is NOT shaded in so we can eliminate Graph B and Graph C

The arrow is >, and it is pointing this way--> so you shade in towards the right. Hope this helps!

Step-by-step explanation:

the longer diagonal is =

√(40²+70²+2(40)(70)cos 36°)

= √(1600+4900+5600(0.8))

= √ 6500 + 4530

= √11,030

= 105 ft

Answer:

b

Step-by-step explanation:

Answer:

m∠G= 180° - ( 59+77 )°

Step-by-step explanation:

Answer:

Tan(Ф) = [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Tan(Ф) = [tex]\frac{opposite}{adjacent}[/tex]

Tan(Ф) = [tex]\frac{12}{5}[/tex]

Hope this helps!

Answer:

x = 3

Step-by-step explanation:

According to Euclidian theorem (x+9)^2 = 18*8

(x+9)^2 = 144 find the root for both sides

x + 9 = 12 subtract 9 from both sides

x = 3