a baseball league finds the speeds of pitches are normally distributed, with a mean of 89 mph and a standard deviation of 2.4 mph. One pitch is thrown at a speed of 85.2 mph. What is the z-score of this pitch? Round your answer to two decimal places.

There is an isosceles triangle.

The triangle is like two right triangles put together.

To find out the height of the triangle, we remove the other right triangle and we use the other triangle to find the height using the Pythagorean theorem.

Phytagoras Theorem :

b² = c² - a²

x² = 8² - (6÷2)²

x² = 64 - 3²

x² = 64 - 9

x² = 55

x = √55

So, the value of x is √55 (B)

Hope it helpful and useful :)

Answer:

The length of JL is 18 feet

Step-by-step explanation:

This is true because the sides double in length

Answer:

18 ft

Step-by-step explanation:

The triangles are similar so the ratios must be the same

GI              IH

--------- = -------------

JL              LK

9               12

--------- = -------------

JL              24

Using cross products

9 *24 = JL *12

Divide each side by 12

9*24/12 = JL*12/12

18 = JL

Answer:

Hope this helps! If it doesn't let me know and I will try and answer it better!

Step-by-step explanation:

HL Congruence Theorem

This shows that _ AC ≅ . Therefore, △ABC ≅ △DEF by . Use the HL Congruence Theorem to prove that the triangles are congruent. A Given: ∠P and ∠R are right angles.

Answer:

red one

Step-by-step explanation:

you do rise over run

Answer:

4/3

Step-by-step explanation:

you are going up 4 and right 3 therefore its positive because if it were negative it would be down 4 left 3

Answer:

A and B

Step-by-step explanation:

also hey becky!

Answer:Why would I know?

Step-by-step explanation: get good fam

Answer:

12

Step-by-step explanation:

So you know you need three different articles of clothing

There are three different types of shirts, two types of pants, and two types of shoes

All you do is simply multiple the three by two and then two again

If it helps to branch it out so you visually see it, that is a great option

but in sum, 3x2x2 is 12, so there are 12 different combos

Answer:

8/3 or 2 2/3 as a mixed number

Step-by-step explanation:

Answer:

I think that's the answer according to my maths teacher how he taught me

Answer:

Notice that the hill is moving downward from left to right. We can think of the car as driving down to the bottom of a hill. Yes, it could drive back up the hill, but the hill still has a negative slope because of its downward direction from left to right.

Step-by-step explanation:

(happy to help)

Answer:

R(x) Is The Revenue Function

Explanation: The revenue function​ R(x) is for when particular products are given. The function is valid only for the specified ranges of value.

I Hope This Helps You Out. I Hope You Have A Great Rest Of The Week.

To determine the area of squares on a grid, count the grid squares within each figure or calculate side² if the side length is given. For figures with a known scale factor, adjust the dimensions accordingly before calculating the area. To compare areas, divide the area of the larger square by that of the smaller square to find the ratio.

To find the area of each square, we must calculate the space inside the square's boundaries. As each grid square represents 1 square unit in the given problem, we first count the number of grid squares within each square figure to determine their areas. If we have both a smaller square and a larger square, we can find the area of the larger square by multiplying the dimensions of the smaller square by the scale factor provided, if any.

For example, if the side length of the smaller square is 4 units and that of the larger square is twice as much (scale factor of 2), then the side length of the larger square would be 4 units x 2, which is 8 units. The area of the smaller square is side² which equals 4 units x 4 units = 16 square units. For the larger square, the area is side² which equals 8 units x 8 units = 64 square units.

When comparing the two areas, we take the ratio of the larger to the smaller. In this case, 64 square units (larger square area) divided by 16 square units (smaller square area) gives us a ratio of 4:1, which means the area of the larger square is 4 times larger than the area of the smaller square. This exemplifies the rule that the ratio of areas of similar figures is the square of the scale factor.

Answer:

Answer:

0 < 0.9  0.9 < 1

Step-by-step explanation:

Answer:

Can you please provide a picture of the line/segment?

Step-by-step explanation:

Radius: line from center of circle to side

Diameter: double the radius, goes straight through middle of circle

Secant: line that intersects the circle in two different points

Chord: line that intersects the circle in exactly one point, called the point of tangency

hope that helps :)

Answer:

B.)

Step-by-step explanation:

the pictures aren't loading but i think we have the same problem if this is on edge, b is a straight line that passes through the origin, a c and d do not line up

The graph of ordered pairs that shows a proportional relationship is: Graph 1

A proportional relationship is defined as a relationship between two variables where the ratio of the variables is always the same. In other words, one variable is always a constant multiple of the other variable.

Graph 1: The rate of change of y with x for the two points are:

m = -2/1 = -2

m = -4/2 = -2

Graph 2: The rate of change of y with x for the two points are:

m = 3/1 = 3

m = -2/-2 = 1

Graph 3: The rate of change of y with x for the two points are:

m = -2/1 = -2

m = 1/-3 = --1/3

Graph 4:  The rate of change of y with x for the two points are:

m = 1/2

m = 3/5

Thus, the only one that represents a proportional relationship is Graph 1

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Answer:

green

Step-by-step explanation:

You will be most likely to choose green since there are more green marbles in the bag than any other marble color

19 red marbles, 29 green marbles, and 18 blue marbles

Answer:

7

Step-by-step explanation:

Three more than twice b, where b equals 2, is calculated by doubling b to get 4 and then adding 3 to reach a total of 7.

Given that a = 10 and b = 2, we need to calculate what 'three more than twice b' is.

First, let's find twice b:

Now, we add three to get 'three more than twice b':

Therefore, 'three more than twice b' is 7.

Step-by-step explanation:

For this problem, we can simply plug in the coordinate point into the given formula.

(-8, 6) = (-8 + 5, 6 - 4)

(-8, 6) = (-3, 2)

So, A' is at point (-3, 2)

Now, we have to find the distance from A to A'. We can use the distance formula.

[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

[tex]d=\sqrt{(-3-(-8))^2+(2-6)^2}[/tex]

[tex]d=\sqrt{(5)^2+(-4)^2}[/tex]

[tex]d=\sqrt{25+16}[/tex]

[tex]d=\sqrt{41}[/tex]

So, the distance between A and A' is about 6.4 units.

Answer:

49x^2 - 9 = 0

As there is no x term, we can pretty much guess we have a situation where we factlrise by something known aa difference of two squares, so to factorise it:

49 = 7^2

9 = 3^2

x^2 = (x)^2

so...

(7x - 3)(7x + 3) = 0

7x - 3 = 0 7x + 3 = 0

x = 3/7 x = -3/7

Step-by-step explanation:

Answer:

28.26

Step-by-step explanation:

This is the formula for area of a circle

A = pi r^2

Substitute the given values

A = 3.14 (3)^2

A = 3.14 (9)

28.26

The slope between the points (0, –5) and (–9,1) is -2/3, which is found using the slope formula. Positive slopes rise, negative slopes fall, and zero slopes are horizontal lines.

To find the slope of a line passing through two points (0, –5) and (–9,1), we use the formula for the slope (m), which is m = (y₂ - y₁) / (x₂ - x₁), where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Substituting the given points into the formula, we get m = (1 - (-5)) / (-9 - 0), which simplifies to m = (1 + 5) / (-9), and further simplifies to m = 6 / (-9), resulting in a slope of m = -2/3.

Regarding slope and its characteristics on a graph, a positive slope means the line rises as it moves from left to right, a negative slope means the line falls as it moves from left to right, and a zero slope indicates a horizontal line.

Answer: The area of the shaded sectors is 35.3 square kilometres

Step-by-step explanation: What we have here is a circle with center Z. Two sectors have been formed which are ZVW and ZYX. A careful observation reveals that both sectors are similar. If WY passes through the center Z then WY is a diameter. The same applies to VX, since it also passes through the center, therefore it is a diameter. Both lines intersect at the center, that makes both sectors to have the same radii which is  5.3 km and same applies to the angle subtended at the center of the sector, both angles are opposite angles formed by intersecting lines (opposite angles formed by intersecting lines are equal). On a straight line WY, the sum of angles ∠WZX and ∠YZX equals 180 degrees (Sum of angles on a straight line equals 180). Therefore;

WZX + YZX = 180

108 + YZX = 180

Subtract 180 from both sides of the equation

YZX = 72°

Therefore the area of shaded sector YZX is given as;

Area of a sector = (∅/360) x πr²

Where ∅ is 72, and r is 5.3

Area of sector = (72/360) x 3.14 x 5.3²

Area of sector = 0.2 x 3.14 x 28.09

Area of sector = 17.64

Having in mind that both sectors are similar (the same radii and the same central angle), the area of the shaded sectors shall be equal to 17.64 times 2 and that equals 35.28. (That is approximately 35.3 to the nearest tenth)

The area of the shaded sectors therefore is 35.3 square kilometres (35.3 km²)

Answer:

Area of the shaded region ≈ 35.3 km²

Step-by-step explanation:

Area of a sector = ∅/360 × πr²

angle on a straight line  = 180°

Therefore,

∠vzw = 180 - 108 = 72°

∠yzx = 180 - 108 = 72°

Area = 72 /360 × 22/7 × 5.3²

Area = 72 /360 × 22/7 × 28.09

Area = 44494.56/2520

Area = 17.656571429

Area = 17.66 km²

The area is one portion of the shaded part , the area of the 2 shaded sector will be

Area of zvw  + Area of zyx

Both area are same . They have same radius and the same angle.

Area of the shaded region = 17.66 + 17.66

Area of the shaded region ≈ 35.3 km²

Answer:

C. (-3,0)

D. (0,3)

F. (1,4)

Step-by-step explanation:

Each of these points are intersected by the line given. Remember that the first number in an ordered pair is how far it is on the x-axis (vertical), and the second on the y-axis (vertical).

The way I remember this is that you have to walk down the hall (x-axis) before you can go up the elevator (y-axis).

After plotting the points, determine which are on the line, and those will be your correct choices.

Answer:

50%

Step-by-step explanation:

Because there are 4 numbers. 2 even, 2 odd if you add those its gonna be 4 numbers so theres a 50% chance you will land on 50%

Answer:

x = 26

Step-by-step explanation:

The three angles form a straight line, so they will sum to 180

4x - 8  + 34  + 76- x = 180

Combine like terms

3x+ 102 = 180

Subtract 102 from each side

3x+102-102 = 180-102

3x= 78

Divide each side by 3

3x/3 = 78/3

x = 26

Answer:

the points are :

(0,-1)

(0,0)

(-1,3)

(If you are using MathsWatch) For this question the triangle gets smaller so i'm not sure why it says Enlarge the triangle.

To enlarge the triangle by a scale factor of 0.5 with a center of enlargement at (3,1), multiply the coordinates of each vertex by 0.5 and add 3 to the x-coordinate and 1 to the y-coordinate.

To enlarge the triangle by a scale factor of 0.5 with a center of enlargement at (3,1), you will need to multiply the x-coordinate and y-coordinate of each vertex of the triangle by 0.5 and then add 3 to the x-coordinate and 1 to the y-coordinate. This will give you the new coordinates for the enlarged triangle. For example, if the original triangle has vertices A(1,2), B(3,4), and C(5,6), the new coordinates for the enlarged triangle will be A'(3.5,2.5), B'(4.5,3.5), and C'(5.5,4.5).

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