You shuffle a deck of 26 cards representing the letters of the alphabet. You randomly select a card from the deck. What is the theoretical probability that the card represents one of the letters in the word "skateboard"?

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.

Answer:

[tex]an=2n+4[/tex]

Step-by-step explanation:

Answer:

Uranus, Neptune, Saturn, Jupiter

Step-by-step explanation:

l

Answer:

perimeter =52cm

hope it helps.

Answer:

52 cm (second opinion)

Step-by-step explanation:

add all the sides

Answer:

58 inches

Step-by-step explanation:

Perimeter means the sum of length of all sides of a figure.

So, the perimeter of this triangle would also be the sum of the length of its sides.

It has 3 sides.

19 in, 16 in and 23 in.

So, its perimeter equals 19 + 16+ 23

which equals 58 inches!

So, the perimeter would be 58 inches.!

Answer:

5.33333 (repeating)

Step-by-step explanation:

Answer:

5.333333 and the 3 is infinite.

Step-by-step explanation:

Answer:The answer is z

Step-by-step explanation:

Answer:

the height is 11 units the base is 12 units and the area is (i think) 84

Answer:

(D)

Use the law of sines:

(E)

Find the third angle:

Use the las of sines:

Answer:

Obtuse Triangle.

Step-by-step explanation:

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In this case, 110° is more than 90°. So, its an obtuse angle. If one angle of the triangle is obtuse, then the other two angles with always be acute.

Hence, this is an obtuse triangle

The triangle with the given measures is obtuse angle triangle. Therefore, option B is the correct answer.

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees. In an obtuse triangle, if one angle measures more than 90°, then the sum of the remaining two angles is less than 90°.

Given that, a triangle has three angles of 36°, 34°, and 110°.

Here, one of the angle measure more than 90°, that is 110°.

Sum of remaining two angles is 36°+34°

= 70°

Therefore, option B is the correct answer.

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Answer:

1. 4-2=2

2.2 10/21

Step-by-step explanation:

Answer:

x =4 and y =1

Step-by-step explanation:

Triangle ADB is an equilateral triangle that means the side a 3 unit each

so,

y + 2 = 3

y = 1

Triangle DBC is an isosceles triangle that means two legs are equal

So,

y + 2 = x -1

we already know that y+2 = 3

So,

3 = x -1

4 = x

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:

40% or 4/10

Step-by-step explanation:

Answer:

its 40%

Step-by-step explanation:

A.P.E.X.

Answer:

8

Explanation:

A good way to find the area of a figure with diagonal lines is to find the area of the section that has full squares and then add the other parts together and find the area of that. As you can see in the polygon, there are four units in the middle that don't get cut off by the diagonal line. The area of that part of the figure is 1*4 = 4. Now, if you take out that section, and move the other parts together, you can find their area and then add it to 4. The other parts of the polygons are triangles, and when you move them together, they form the same shape as the middle section did, and have an area of 4. The area of the entire figure is the area of one section plus the area of the other. 4 + 4 = 8

I hope that makes sense :)

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:

B and F are non-statistical questions

Step-by-step explanation:

B is asking how many years until you are 16; this is not statistical because it just a fact. F is pretty much the same because it's just asking a subjective fact-like question.

Statistical questions ask for a collection of varying data. If there is only one data point, it is non-statistical.

Answer:

85 hours

Step-by-step explanation:

Number of hours per day = 13 hours

Number of days = 6

Number of hours worked for 6 days = 6 days × 13 hours

= 78 hours

then he worked 7 hours

Total Number of hours worked = Number of hours worked for 6 days + 7 hours

= 78 hours + 7 hours

= 85 hours

Total Number of hours worked = 85 hours

Answer:Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10

. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3.5×10^−12

Step-by-step explanation:

in simple terms 3.5×10^−12 or 3.5 times 10 to the power of -12

Answer:

The area of the shape is 122.30 cm^2

Step-by-step explanation:

To calculate the surface area, we identify the side shapes

We have this as;

a rectangle that measures 11 cm by 3 cm, a rectangle that measures 3 cm by 6 cm, a rectangle that measures 8 cm by 3 cm, 2 triangles ( base and top) that has a height of 4.3 cm and a base of 11 cm

The area of the rectangles is simply the product of the side lengths

The area of the triangles is the product of the base and the height divided by 2; but since we have 2 exact triangles, we can simply multiply the base and the height to serve as the area of both

Thus, we have the area of the shape as follows;

(11 * 3) + (3 * 6) + (8 * 3) + (4.3 * 11)

= 33 + 18 * 24 + 47.3

= 122.30 cm^2

Answer: [tex]49.79\ m[/tex]

Step-by-step explanation:

Given

The volume of the spherical solid is [tex]V=123,456\ m^3[/tex]

It is melted to form a solid cube

Suppose the edge length of the cube is [tex]a[/tex]

The volume of the sphere is  [tex]\frac{4}{3}\pi r^3[/tex]

[tex]\Rightarrow 123,456=a^3\\\Rightarrow a^3=123,456\\\text{Factorising 123,456}\\\Rightarrow a^3=2^6\times 3\times 643\\\\\Rightarrow a=\sqrt[3]{2^6\times 3\times 643} \\\\\Rightarrow a=4\sqrt[3]{ 3\times 643}\\\\\Rightarrow a=49.79\ m[/tex]

Answer:

[tex]Mean = \$15[/tex]

[tex]Standard\ Deviation = \$53.85[/tex]

Step-by-step explanation:

Given

See attachment for probability distribution

Required

Determine the mean and the standard deviation

The mean of the distribution is:

[tex]Mean = E(x)[/tex]

and

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

[tex]Mean = \$500 * 0.01 + \$100 * 0.05 + \$25 * 0.20 + \$0 * 0.74[/tex]

[tex]Mean = \$5 + \$5 + \$5 + \$0[/tex]

[tex]Mean = \$15[/tex]

So:

[tex]E(x) = 15.00[/tex]

The standard deviation of the distribution is:

[tex]S = \sqrt{Var(x)}[/tex]

Where:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

[tex]E(x^2) = \sum x^2 * P(x)[/tex]

So, we have:

[tex]E(x^2) = 500^2 * 0.01 + 100^2 * 0.05 + 25^2 * 0.20 +0^2 * 0.74[/tex]

[tex]E(x^2) = 2500 + 500 + 125 +0[/tex]

[tex]E(x^2) = 3125[/tex]

So:

[tex]Var(x) = E(x^2) - (E(x))^2[/tex]

Where

[tex]E(x^2) = 3125[/tex]

[tex]E(x) = 15.00[/tex]

[tex]Var(x) = 3125 - 15^2[/tex]

[tex]Var(x) = 3125 - 225[/tex]

[tex]Var(x) = 2900[/tex]

Recall that:

[tex]S =\sqrt{Var(x)[/tex]

[tex]S =\sqrt{2900[/tex]

[tex]S =53.85[/tex]

Answer:

The answer is C both the mean and median are 6

Step-by-step explanation:

Answer: -3

Step-by-step explanation:

Given

Equations of the lines are

[tex]y=-x-4\\3y=cx-18[/tex]

For the system of linear equation [tex]a_1x+b_1y=c_1,a_2x+b_2y=c_2[/tex] has no solution if

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex]

Rewrite the equations

[tex]x+y=-4,\ cx-3y=18[/tex]

Insert the values for the no solution condition

[tex]\Rightarrow \dfrac{1}{c}=\dfrac{1}{-3}\\\\\Rightarrow c=-3[/tex]

Therefore, for c=-3, the system of linear equation ha no solution.

The time that the  height of 80 feet occur on the interval 0 is 4.662 seconds.

Given:

50 cos (π/15(x-10))+52

Height=80 feet

Time= x second

Hence:

height (h)= 50 cos [pie(x - 10 )/15 ] + 52

80 = 50 cos [pie( x - 10 )/15 ]+ 52

Collect like terms

80 - 52 = 50 cos [ pie( x - 10 )/15 ]

28 = 50 cos [ pie( x - 10 )/15 ]

cos [pie( x - 10 )/15 ] = 28/50

cos [ pie( x - 10 )/15 ] =56

cos [pie( x - 10 )/15 ]= cos ( 56 )

cos [ pie( x - 10 )/15 )]= cos ( 0.3111 pie )

Hence:

pie( x - 10 )/15 = 0.3111

( x - 10 )/15 = 0.3111

x - 10 = 15 × 0.3111

x - 10 = 4.662

x = 10 + 4.662

x = 14.662 seconds

Therefore the correct option is C.

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Answer:

It is C.

III is saying that the two functions are inverse functions. If two functions, f(x) and g(x) are inverse, then f(g(x)) = x and g(f(x)) = x. Therefore, we see that if III is true, then I and II should also be true. Now, all we have to prove is that f(x) and g(x) are inverse functions. As we said before, if two functions are inverse, then f(g(x)) = x and g(f(x)) = x.

f(g(x)) = 3([tex]\sqrt[3]{\frac{x-2}{3} }[/tex])^3 + 2

f(g(x)) = 3[(x-2)/3]+2

f(g(x)) = x-2 + 2

f(g(x)) = x

Therefore, we have proved that f(g(x)) = x, and so f(x) and g(x) are inverse functions, and so all of I, II, and III are true. Thus, the answer is C.

fyi, we didn't have to do g(f(x)) because if f(g(x)) = x, then so will g(f(x)).

Answer:

-.4685

Step-by-step explanation:

[tex]x^y=z\\y=log_zy\\10^{x+2}=34\\x+2=log_{10}34\\x+2=log34\\x+2=1.531478917\\x=-.468521083[/tex]

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.

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