If 6 × 6 = 36, what value should be subtracted from 36 to find the product of 5 × 6?

The chance of the spinner stop on green and therefore the coin toss becoming heads is 1/5.

The likelihood of an event occurring is defined as the ratio of the number of incidents favorable to the occurrence to the total number of cases.

Probability(event) = favorable outcome/ total outcome.

Given that these are 2 separate events:

There are total section in the spinner is 20.

Out of 20, 8 are marked green

The probability that green will come;

P(green) = 8/20.

Now. for the toss of coin, either head or tail will come.

Thus, the probability the head will appear.

P(head) = 1/2

The likelihood that the spinner would then land on green and the tossed coins will be heads:

= (8/20)×(1/2)

= 1/5

Thus, the likelihood of the spinner landing on green and thus the coin toss being heads is 1/5.

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Answer:

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

1.1/4

2.2/9

3.21/4.

4.27.

Answer:

answer 4

Step-by-step explanation:

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

Answer:

B

Step-by-step explanation:

By the triangle inequality theorem, the sum of the lengths of the two shorter sides needs to be greater than the length of the longest side.

Answer: \(y = -\frac{1}{2} x -8\)

Step-by-step explanation:

Going to build the equation in slope-intercept form, let me know if you need another form :)

Slope intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Simply plug in the slope for m to get: y = -1/2x + b.

Then simply plug in the point to get:

-6 = -1/2(-4) + b

-6 = 2 + b

b = -8

y = -1/2x -8

Hope it helps :)

Answer:

36 ft²

Step-by-step explanation:

1/4(12)²

1/4(144)

36 ft²

The area of the patio if the area of the yard is 12 feet on each side is  36 ft².

The area is the total space occupied by the object, and the area of the square is the square of each of its sides.

Given:

The length of each side of the yard, a = 12 ft,

Calculate the area of the yard by following the formula,

A = a²,

Here A is the area,

A = 12²

A = 144 ft²,

The area of the patio = area of yard / 4

The area of patio = 144 / 4

The area of the patio = 36 ft²

Therefore, the area of the patio if the area of the yard is 12 feet on each side is  36 ft².

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Answer: 43

Step-by-step explanation:

Let's start with what we know about triangles which is that the sum of the angles in a triangle = 180. So far, we have one angle at 79 and another at 58, when adding them up: 79 + 58 = 137.  Then we do 180 - 137 = 43.

So x = 43.

The rate of acceleration of the skateboarder is 2m/s²

Acceleration can be described as the speed of an object during a period of time

The formula is

v= u + at

v= 40m/s

u= 10m/s

time= 15 seconds

40 = 10 + 15a

40-10= 15a

30= 15a

a= 30/15

a= 2

Hence the rate of acceleration of the skateboarder is 2m/s²

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Answer:

To graph the line with slope -1 passing through the point (-2,4), we can use the point-slope form of the equation of a line, which is:

where m is the slope of the line, and (x1, y1) is the given point on the line. Substituting the given values, we get:

Simplifying this equation, we get:

Now we can graph this line by plotting the given point (-2,4), and then using the slope of -1 to find one or more additional points on the line. We can do this by starting at the given point and then moving one unit down (since the slope is negative) and one unit to the right (since the slope is -1). This gives us the point (-1,3). We can then connect these two points to graph the line.

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Answer:

6/1 or just 6

Step-by-step explanation:

3/4 ÷ 1/8 = 24/4  when simplified 6/1

The values of x, y and z are given as follows:

The geometric mean theorem states that the length of the altitude drawn from the right angle of a triangle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.

The bases for the triangle in this problem are given as follows:

6 and 19.

Hence the segment x is obtained as follows:

x² = 6 x 19

x = sqrt(6 x 19)

x = 10.68.

Applying the Pythagorean Theorem, the value of y is given as follows:

y² = 6² + 10.68²

y = sqrt(6² + 10.68²)

y = 12.25.

The value of z is given as follows:

z² = 10.68² + 19²

z = sqrt(10.68² + 19²)

z = 21.8.

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Answer:

Below:

Step-by-step explanation:-

The answer is in the comment!! someone answered your question!!

Answer:

false this is because the answer would contain all the values in both sets

According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

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Answer:

p= 21

Explanation:

FIRST DO

3(21) -7

3 × 21 = 63

63 - 7 = 56

THEN DO

6(21) - 2

6 × 21 = 126

126 - 2 =  124

FINALLY

It needs to add up to 180°

124 + 56 = 180°

Therefore, the value of p = 21

Hope this helps!!! :)

False. Convergence of {x2n} does not imply convergence of {xn}.

To find a counterexample, consider the sequence {xn} = 1, 2, -1, -2, 1, 2, -1, -2, ..., where x2n = 1, -1, 1, -1, ..., which converges to 1, but {xn} does not converge since the terms oscillate between 1 and -2. To prove this, assume the contrary, that {xn} converges to some L, then there exist an integer N such that for all n > N, |xn - L| < 1/2. However, for each n > N, there exists another natural number m > N such that xm = -L, which would mean that |xm - L| > 1/2 and therefore contradicting the assumption.

The sequence {xn} = 1, 2, -1, -2, 1, 2, -1, -2, ... is a counterexample to the statement that if {x2n} converges, then {xn} converges.

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Sand will be placed under the base of a circular pool with a diameter of 14 feet. 1 bag of sand covers about 5 square feet. the number of bags of sand required is 30bags.

The area of the pool is

 A = πr²

 A = 3.14×(7 ft)² = 153.8 ft²

The number of bags of sand required is ...

 (153.8 ft²)/(5 ft²/bag) ≈ 30.76bags

bags of sand are needed.

The diameter is defined as twice the length of the radius of the circle. The radius is measured from the centre of the circle to one endpoint on the boundary of the circle, while the diameter is the distance  measured from one end of the circle to a point on the other end of the circle that passes through the centre. This is indicated by the letter D. The circumference of  a circle has an infinite number of points, which means that the circle has an infinite number of diameters and each diameter of the circle is the same length.

Ø is the symbol  used in the design to indicate the diameter. This symbol is often used in technical data and drawings.

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Answer:

Plastic: 36%

Cardboard: 8%

Metal: 24%

Glass: 32%

Step-by-step explanation:

27 + 6 + 18 + 24 = 75 (there are 75 materials)

27 out of 75 is equal to: 36%

6 out of 75 is equal to: 8%

18 out of 75 is equal to: 24%

24 out of 75 is equal to: 32%

Please mark Brainliest if correct

Hope this helps!

Answer:

Plastic Containers: 36%

Cardboard Boxes: 8%

Metal Cans: 24%

Glass Jars: 32%

Step-by-step explanation:

Plastic Containers: \(\frac{27}{27+6+18+24} =\frac{27}{75} =\frac{36}{100}\) or 36%

Cardboard Boxes: \(\frac{6}{27+6+18+24} =\frac{6}{75} =\frac{8}{100}\) or 8%

Metal Cans: \(\frac{18}{27+6+18+24} =\frac{18}{75} =\frac{24}{100}\) or 24%

Glass Jars: \(\frac{24}{27+6+18+24} =\frac{24}{75} =\frac{32}{100}\) or 32%

Complete Question

Suppose that the random variable X represents the length of a punched part in

centimeters. Let Y be the length of the part in millimeters. If E(X) = 5 and V(X) = 0.25,

what are the mean and variance of Y?

Answer:

The mean

\(E(Y) =50 mm\)

The variance

\(V(Y) = 25 mm\)

Step-by-step explanation:

From the question we are told that  

   Length in cm is  X

   Length in mm is Y

  Generally  10 mm  =  1 cm

So

    \(Y = 10 X\)

Hence the expected mean of Y is  

  \(E(Y) = E (10 X)\)

=>    \(E(Y) = 10 E(X)\)

From the question \(E(X) = 5\)

So

      \(E(Y) = 10 * 5\)

=> \(E(Y) =50 mm\)

Gnerally the variance of  X is  

      \(V(X) = E [X^2] -E[X]^2\)

From the question we are told that \(V(X) = 0.25\)

=> \(0.25 = E [X^2] -E[X]^2\)

Gnerally the variance of Y

    \(V(Y) = E [Y^2] -E[Y]^2\)

=> \(V(Y) = E [10X^2] -E[X]^2\)

=> \(V(Y) = 10^2[ E [X^2] -E[X]^2]\)

=> \(V(Y) = 10^2* V(X)\)

=> \(V(Y) = 10^2* 0.25\)

=> \(V(Y) = 25 mm\)

Check the picture below.

so hmm we have a 6x6 square atop and a triangle with base of 6 and a height of "h", let's get "h".

\(\sin( 42^o )=\cfrac{\stackrel{opposite}{h}}{\underset{hypotenuse}{2}} \implies 2\sin(42^o)=h \implies 1.34\approx h \\\\[-0.35em] ~\dotfill\\\\ \stackrel{ \textit{\LARGE Areas} }{\stackrel{triangle}{\cfrac{1}{2}(\underset{b}{6})(\underset{h}{1.34})}~~ + ~~\stackrel{ square }{(6)(6)}} ~~ \approx ~~ 4.02+36~~ \approx ~~ \text{\LARGE 40.0}\)

The number of standard deviations from the mean that include all

data values is two.

From the gathering of information, we will see that the minimum worth is $19.95 and also the most worth is $29.95. So , we would like to seek out the amount of normal deviations, let's decision it "a" , such that\(\overline x $\color \ - a\cdot\sigma \le 19.95}\) and   \(\overline x $\color \ +a\cdot\sigma \geq 29.95}\)

Use the given values of mean  \(\overline x\) and normal deviation (σ) to notice the worth of "a".

         \(\overline x $\color \ - a\cdot\sigma \le 19.95}\\25.07\ - 2.62a \leq 19.95\\5.12\leq 2.62a\\1.9541\leq a\)

On rounding off we get a = 2

Checking another inequality

         \(\overline x $\color \ + a\cdot\sigma \geq 29.95}\\25.07 \ + 2(2.62) \geq 29.95\\25.07 + 5.24 \geq 29.95\\30.31\geq 29.95\)

Thus , 2 standard deviation include the all values from the given set of data .

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Answer:

This is a doozy so hang on

Step-by-step explanation:

I assume you want me to start from 1 so I'll make this short n' sweet

1: angle 1 = 87° by the alternate interior angle theorem and angle 2 can be found by subtracting 87 from 180 also known as the supplementary angles theorem. 180 - 87 = 93° | 1 = 87° 2 = 93° |

2: angle 1 is 78° by the congruent supplements theorem. Angle 2 is also 78° by the vertical angles theorem

3: like 2: angle 1 is 41° by the congruent supplements theorem. Angle 2 is also 41° by the vertical angles theorem

4: the same thing is 124° because of (CST) and angle 2 is 124° because of vertical angles.

5: a bit trickier, we know 37° is the same as (6x -11) due to the Supplementary theorem

So write your equation as (6x - 11) = 37

Add 11 To both sides + 11 + 11

6x = 48 dived both sides by 6

-----------

6

X = 8

Since it only asks you for X there is no need to solve it.

6: same thing 2( x + 9) = 2. We know that equals 2 by doing the vertical angle theorem and then the supplementary angle theorem.

Solving for that you get -8 for x

7: ⅔(x +27) = (3x - 25) again...we know they are equal due to vertical angles and (CST).

Solving you get 129/7 or 18.42 as x

8: using vertical angles then alternate interior angles theorem (3x - 8) = ( x + 24) x = 16

9: 1 is = 112 by vertical angles theorem 2 = 68 by the supplementary theorem that's due to 3 = 112 by alt interior angles theorem

10: 1 = 45 by alt and 2 = 135 by sup and 3 = 135 by alt

Finished hoped this helps.

The term varies or changes, and often there are restrictions set on the variable (eg: x is positive). Think of a variable as a placeholder for a number.

If Cesar had a bill of $82 for renting an LCD projector, he kept the projector for 4 days, based on the linear equation.

To determine the number of days the projector, we deploy linear equation, which is in the form of y = mx + b, where m is the slope, x and y are variables, and b is the y-intercept.

The flat fee for administrative costs = $10

The variable cost per day = $18

The total bill for renting the projector = $82

The number of days = x

10 + 18x = 82

18x = 72

x = 4

Check:

10 + 18x = 82

10 + 18(4) = 82

10 + 72 = 82

82 = 82

Thus, setting a linear equation, we can determine the number of days the projector was rented as 4 days.

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The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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Answer:

x = -30

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

35 plus 35 equals 70 and 9 plus 9 equals 18

Given a discount of 20% and a manufacturer's coupon of $200, the price after the discount and coupon, (C ∘ D)(x), is 0.8x - 200.

A discount is an amount that reduces the price of a retail item.

Discounts are offered as rates and the discounted price is computed by multiplying the discount factor and the price.

Discount rate on offer = 20%

Discounting factor = 80% or 0.8 (100 - 20%)

Manufacturer's coupon off the price = $200

Let the price of the bureau = x

The price after the discount (discounted price) is given by D(x)

D(x) = 0.8x

The price after the coupon = C(x) = x - 200

The price after applying the discount and the coupon, (C ∘ D)(x) = 0.8x - 200

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Wilson's Warehouse sells a certain brand's bureau. They are offering a 20% discount in addition to accepting a manufacturer's coupon for $200 off. Let the price of the bureau be x. If the price after the discount is given by D(x) and the price after the coupon is C(x), find (C ∘ D)(x).