Greg is practicing ice hockey. He usually makes 7 out of 12 shots. What is the probability that Greg will not make his next shot? Express your answer as a fraction in simplest form.

Answer:

the capacity of the tank would be 24 L

Step-by-step explanation:

24 ÷ 6 = 4

4 x 5 = 20

well, we know all three points are colinear, so the slope from the first two points is the same slope from either to the (c , -9) point, let's check the slope of the first two points given

\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{1})~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{10}-\underset{x_1}{(-5)}}} \implies \cfrac{1 +3}{10 +5}\implies \cfrac{4}{15}\)

so then, the slope from say hmmmm let's use (-5 , -3), the slope from (-5 , -3) and (c , -9) must also be the same 4/15

\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{c}~,~\stackrel{y_2}{-9}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-9}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{c}-\underset{x_1}{(-5)}}} \implies \hspace{5em}\cfrac{-9 +3}{c +5}~~ = ~~\stackrel{slope}{\cfrac{4}{15}}\implies \cfrac{-6}{c+5}=\cfrac{4}{15} \\\\\\ -90=4c+20\implies -110=4c\implies \cfrac{-110}{4}=c\implies -\cfrac{55}{2}=c\)

Answer:

There are 420 windows.

Step-by-step explanation:

If the ground floor is part of the 20 =>

20.20=400

There are 400 windows.

If the ground floor is not part of the 20=>

20.20+20=420

There are 420 windows.

Answer:

The total weight of bread in pounds is 7.5 lbs. The total weight of bread in ounces is 120 oz.

Step-by-step explanation:

1 1/4 * 6

= 5/4 * 6

= 15/2

= 7.5 pounds

7.5 * 16 = 120 ounces [ 1 pound = 16 ounces ]

The carpenter spend 35.53 $ of rope for a project.

To find the cost of rope for a project.

What is arithmetic?

The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given that:

For a project carpenter needs 9.3 feet of rope.

Per foot of cost of the rope is $3.82.

So by calculation

1 foot of rope= $3.82.

9 foot of rope=9*3.82 $

9 foot of rope=35.53 $

So, the carpenter spend 35.53 $ of rope for a project.

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Option is missing

O $35.53

O$44.84

O$45.84

O $355.30

Answer: The value of x is 49.

Step-by-step explanation:

To find the value of x, you will first need to cross multiply the fractional variables together.

5x - 80 = 3x + 18

Then, move the numerical term 80 to the right side of this equation and add it to 18.

5x - 80 = 3x + 98

Move 3x to the left side of the equation and subtract it this time to the variable 5x.

2x = 98

Finally, you divide both of the equation's sides by 2 and you will get 49.

x = 49

When you actually add x to this problem, you would get 33/55.

49 - 16/49 +6 = 33/55

You can then simplify 33/55 and get the same answer 3/5.

3/5

Therefore, the value of x for this variable equation with the fractions would be equal to x = 49. Hope this helps!

-From 5th Grader Honors Student

Answer:

1.  B

2. D

3. B

4. D

5. C

6. A

7. What is the estimated sum of "?" what are we estimating?

8. C

9. C

10. B

Step-by-step explanation:

1st question

1/4 ≤ 8/19 ≤ 3/4, so round it to 1/2.

1/4 ≤ 6/13 ≤ 3/4, so round it to 1/2.

Estimating:

1/2 + 1/2 = 1

2nd question

220 9/11 divided by 6 19/20 = 2.99542184434

Rounded/estimated = 3

3rd Question

Estimate 8 1/8 (common sense)

8 1/8 = 8.

4th Question

Assuming cups = 2.

2x24 = 48.

5th Question

3

6th Question

Add and estimate

7th question

What is the estimated sum of "?" what are we estimating?

8th question

6/7 > 3/4, so round it to 1.

1/4 ≤ 4/7 ≤ 3/4, so round it to 1/2.

Estimating:

1 + 1/2 = 1  1/2

9th Question

Round 7 to 8. It is over half, so it would be 8, which = 1

10th Question

Half of 20 = 10, 9 isn't above 10.

So round backwards to 24.

Answer:

A)4

72

1

22

3

36

33

3

Step-by-step explanation:

The value of sin2 Θ is in the 4th quadrant is -24/25

Explanation:

Given the expression of cosΘ= 3/5 with Θ in quadrant 4;

According to SOH, CAH TOA;

cosΘ= adjacent/hypotenuse

Get the opposite

5² = opp² + 3²

opp²  = 25 - 9

opp² = 16

opp = 4

SinΘ = opp/hyp

SinΘ = 4/5

Sin2Θ = 2sinΘ cosΘ

Sin2Θ = 2(-4/5)(3/5)

Sin2Θ = -24/25

Hence the value of sin2Θ is in the 4th quadrant is -24/25

Answer:

x = 6

Step-by-step explanation:

7x = 42

Divide each side by 7

7x/7 = 42/7

x = 6

Answer:

Subtract 58388383 - 776463783

Answer:

x=-2/3 and 1

Step-by-step explanation:

3x^2-x-2=0

(3x+2)(x-1)

3x=-2

x=-2/3

x=1

None of the given expression is equivalent to the given expression

(61 + 4).

Given is the expression (4 + 61).

The given expression is -

61 + 4

65

Now -

None of the expression is equivalent to the given expression.

Therefore, none of the given expression is equivalent to the given expression (61 + 4).

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Answer:

\(1. \: \: \: \: \frac{1}{5} \\ 2. \: \: \: \: - \frac{3}{2} \\ 3. \: \: \: \: \frac{1}{2} \)

Step-by-step explanation:

1. In the first diagram we simply count the number of squares along the rise and the number of squares along the run as slope equals rise/run

2. we use the slope formula

\( \frac{y2 - y1}{x2 - x1} = \frac{ - 2 - 1}{ 1- ( - 1)} = \frac{ - 3}{2} = - \frac{3}{2} \)

3. pick any two points and apply the slope formula again

\(( - 1. \: \: 1) \: and \: (3. \: \: 3) \\ \frac{3 - 1}{3 - ( - 1)} = \frac{2}{4} = \frac{1}{2} \)

Answer:

Step-by-step explanation:

Answer:

The answer is below.

Step-by-step explanation:

Two option.

1st. Take the derivative of f(x) and make f'(x)=0.

2nd. Graph it.

For more elaborate explanation, please ask another fellow student.

The polygons that can be regarded as similar polygons are A and D.

Similar polygons are those whose sizes may vary but whose shapes are the same. To put it another way, they have proportional sides and corresponding angles that are equivalent. The geometric likeness or resemblance between them is referred to as being "similar".

Similar polygons have corresponding angles with the same measurements. For instance, if a right angle exists in one polygon, another polygon with a comparable angle will likewise have a right angle. Similar to this, if an angle in one polygon is 60 degrees, the comparable angle in a related polygon will also be 60 degrees.

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The volume of the frustum of the pyramid is 4530 cubic units.

To find the volume of a frustum of a pyramid, we can use the formula

V = (1/3)h(A1 + A2 + sqrt(A1A2))

Where

V is the volume of the frustum.

h is the height of the frustum.

A1 is the area of the base of the frustum.

A2 is the area of the top of the frustum.

In this case, the frustum has a square base of side 27 and a square top of side 15. Therefore, we have

A1 = 27^2 = 729

A2 = 15^2 = 225

h = 10

Now we can plug these values into the formula

V = (1/3)10(729 + 225 + sqrt(729*225))

V = (1/3)10(954 + sqrt(164025))

V = (1/3)10(954 + 405)

V = (1/3)10(1359)

V = 4530 cubic units

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Answer:

46.5

Step-by-step explanation:

divide

       The equation representing the relationship between Electricity and  Gas used, and your Bill is:

      T  =  0.25 * k + 0.97 * t

        Make a plan:

We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).

T  =  0.25  *  k  +  0.97  *  t

1 - Write the Equation for the cost of Electricity:

        0.25 * k

2 - Write the Equation for the Cost of Gas:

       0.97 * t

3 - Combine the Equations to Represent the total Monthly Bill (T):

       T  =  0.25 * k + 0.97 * t

Hence,  The equation representing the relationship between Electricity and  Gas used, and your Bill is:

       T  =  0.25 * k + 0.97 * t

I hope that helps!

Answer:

The answer is 7.1cm to 1d.p

Step-by-step explanation:

Area of square =L²

25=L²

√L²=√25

L=5cm

hyp²=opp²+adj²

x²=5²+5²

x²=25+25

x²=50

√x²=√50

x=7.1cm to 1d.p

Step-by-step explanation:

the missing side is given by sqrt(16² - 8²)

hence,

the number that belongs in the green box is 192

Answer:  

The top of the ladder is 12.69 feet away from the ground

Step-by-step explanation:

Length of the ladder is given to be 15 foot

Also, The base of the ladder is 8 feet away from the wall.

Now, The height of the ladder will be perpendicular to the surface of the ground

So, It will form a right angled triangle

Now, The base of the triangle will be 8 feet

Hypotenuse of the triangle will be 15 feet

And we need to find the perpendicular height of the triangle

By using Pythagoras theorem, We have

Hypotenuse² = Base² + Perpendicular²

⇒ 15² = 8² + Perpendicular²

⇒ Perpendicular = 12.69 feet

Therefore, The top of the ladder is 12.69 feet away from the ground

Or 12.70 from rounding to your nearest tenths

Help this helps and sorry for it being long

The circumference of this circle is equal to 50.24 centimeters.

In Mathematics, a circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Additionally, a circle simply refers to the set of all data points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

Based on the image of this circle (See attachment), we can logically deduce that its radius is equal to 8 centimeters.

Substituting the given parameters into the circumference of a circle formula, we have;

Circumference of circle, C = 2 × 3.14 × 8

Circumference of circle, C = 50.24 centimeters.

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The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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The conjectures can be the product of two odd numbers is always an odd number and product of two odd numbers is always greater than either of them.

It is given that a number is product of two odd numbers.

We have to make a conjecture about it.

What do you mean by a conjecture ?

A conjecture is a conclusion which is believed to be true but hasn't been proved or disproved yet.

As per the question ;

We need to make a conjecture about product of two odd numbers.

The two conjectures can be ;

(1) The product of two odd numbers is always an odd number.

i.e.,

Let's assume the numbers are 21 and 27.

The product of these two numbers will be ;

= 21 × 27

= 567

So , 567 is an odd number.

2) The product of two odd numbers is always greater than either of them.

i.e.,

Let's assume numbers are 13 and 15.

The product will be ;

= 13 × 15

= 195

is greater than both of 13 and 15.

Thus , the conjectures can be the product of two odd numbers is always an odd number and product of two odd numbers is always greater than either of them.

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The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

\(y = -3\)

\(x = -2\)

Step-by-step explanation:

Given

\(-9x + 4y = 6\)

\(9x + 5y = -33\)

Required

Find x and y

To eliminate x, we simply add both equations

\(-9x = 9x + 4y + 5y= 6 - 33\)

\(9y= -27\)

Divide by 9

\(y = -27/9\)

\(y = -3\)

Substitute -3 for y in \(9x + 5y = -33\)

\(9x + 5 * -3 =-33\)

\(9x - 15 =-33\)

Add 15 to both sides

\(9x =-15 -33\)

\(9x =-18\)

Divide by 9

\(x = -18/9\)

\(x = -2\)

The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.

Option A is the correct answer.

We have,

The problem states that a student must work on i-Ready for at least 4 hours per month to receive a grade of 100.

Since Sophia received a math grade of 100, it means that she has met the requirement of working on i-Ready for at least 4 hours in the last month.

And,

The symbol "≥" means "greater than or equal to," indicating that Sophia worked for at least 4 hours.

Therefore,

The inequality that represents the number of hours Sophia spent working on i-Ready last month is h ≥ 4.

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The question is incomplete.Here is the complete question.

The load that can be supported by a rectangular beam varies jointly as the width of the beam and the square of its length, and inversely as the length of the beam. A beam 13 feet long, with a width of 6 inches and a height of 4 inches can support a maximum load of 800 pounds. If a similar board has a width of 8 inches and a height of 7 inches, how long must it be to support 1300 pounds?

Answer: It must be 392 inches or approximately 33 feet.

Step-by-step explanation: According to the question, the measures (width, length and height) of a beam and the weight it supports are in a relation of proportionality, i.e., if divided, the result is a constant.

For the first load:

width = 6in

height = 4in

length = 13ft or 156in

weight = 800lbs

Then, constant will be:

\(\frac{6.4^{2}}{156} k = 800\)

\(k=\frac{800.156}{96}\)

k = 1300

For the similar beam:

\(\frac{8.7^{2}}{L}1300=1300\)

L = 49.8

L = 392in or 32.8ft

A similar board will support 1300lbs if it has 392 inches or 32.8 feet long.