A basketball player has a 0.603 probability of making a free throw. if the player shoots 28 free throws, what is the probability that she makes no more than 20 of them?

Step-by-step explanation:

it is simple for such a line.

x goes to -infinity, and therefore y (or f(x)) also goes to -infinity.

x goes to +infinity, and therefore y (or f(x)) also goes to +infinity.

the difference between x and y values is just a constant factor (the slope). that constant factor becomes irrelevant, when the values approach infinity anyway. only the sign is relevant.

but in our case the slope is +1/+2 (the y value increases by +1 for every increase of x by +2).

so, the line (as we can see in the graph) is

y = 1/2 × x - 1

when x goes to +infinity, "-1" is irrelevant, and

1/2 × +infinity = +infinity.

when x goes to -infinity, again, "-1" is irrelevant, and

1/2 × -infinity = -infinity

Step-by-step explanation:

Hello, and thank you for asking your question on Brainly!

This problem is basically telling is to isolate the variable g. But how are we to do so, when it's being sandwiched inside a variety of numbers and letters? The problem looks harder than it seems. But do not fret!

When you're in a trail in the woods and you get lost, the most logical thing is to do the opposite of where you just went in order to try and reach home. We can use this same analogy for math. We just try and use the opposite operation for every action that the function is being acted on!

Let be the original equation,

[tex]u=\sqrt{Ng+Q^3 }[/tex]

Looks pretty complicated right? We want to isolate the variable g, so let's get rid of this 'roof' over their heads.

To get rid of the square root, we can square both sides by two; this negates the square root, and opens up the right section of the equation.

[tex]u=\sqrt{Ng+Q^3 }[/tex]

[tex]u^2 =(\sqrt{Ng+Q^3 })^2[/tex]

[tex]u^2=Ng+Q^3[/tex]
Now, we have to make sure we get the variable g alone. Let's subtract Q cubed to the other side, we can subtract it over to get rid of it on the right hand side.

[tex]u^2=Ng+Q^3\\-Q^3 ~~~~~ -Q^3[/tex]

[tex]u^2-Q^3=Ng[/tex]
We're almost close! Now, all we have to do to isolate the variable g is to divide the whole equation by N, so the right hand side it cancels out. This is the opposite of N multiplied by g.

[tex]\frac{u^2-Q^3}{N} =g[/tex]

It wasn't so bad now, was it? I hope this helped! g is now isolated and this is the end of the problem.

The area of the parallelogram is 54 square units.

In this question we have been given a parallelogram

We need to find the area of the parallelogram.

Here, the slant height of the parallelogram is 8 units.

the base of the parallelogram is 9 units.

And the height of the parallelogram is 6 units.

We know that the area of the parallelogram is,

A = base × height

⇒ A = 9 × 6

⇒ A = 54 square units

Therefore, the area of the parallelogram is 54 square units.

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The statement "If lines p and q are parallel, then angles 3 and 6 are congruent" is false because "If lines p and q are parallel, then angles 3 and 6 are supplementary".

Given,

The statement "If lines p and q are parallel, then angles 3 and 6 are congruent"

We know,

when two parallel lines are intersect by a transversal then the  interior angles on the same side of the transversal is supplementary.

Here, ∠3 and ∠6 are interior angles on the same side of the transversal, So the ∠3 and ∠6 are supplementary

So, the correct statement is "If lines p and q are parallel, then angles 3 and 6 are supplementary"

Hence, the statement "If lines p and q are parallel, then angles 3 and 6 are congruent" is false because "If lines p and q are parallel, then angles 3 and 6 are supplementary".

The complete question is:

State whether the sentence is true or false. If false, replace the underlined word or number to make a true sentence.

If lines p and q are parallel, then angles 3 and 6 are congruent.

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Scientific notation exists as a method of writing very large or very small numbers. The expression as a number in scientific notation is 2.5 × [tex]10^5[/tex], 3.5 × [tex]10^{-7[/tex], 1 × [tex]10^{-8[/tex], 3.24 × [tex]10^{17[/tex],

Utilizing scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation.

To express exceedingly high numbers in a shorter manner, scientists have created a shorthand. Scientific notation is the name of this technique. The foundation of scientific notation is the base-10 powers. The coefficient is defined as the initial number, 1.23.

The guidelines for writing scientific notation.

Always start with a base of 10.

The exponent may have both positive and negative values and must be a non-zero integer.

The absolute value of the coefficient is more than or equal to 1, even though it should be less than 10.

Whole numbers, decimal numbers, positive, negative, or both can all be used as coefficients.

The mantissa represents the remaining significant digits of the number.

The expression as a number in scientific notation is 2.5 × [tex]10^5[/tex], 3.5 × [tex]10^{-7[/tex], 1 × [tex]10^{-8[/tex], 3.24 × [tex]10^{17[/tex],

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The correct answer is 1.19×10³ lbs.

The weight of first animal = 5.12×10² lbs

Performing multiplication to get the complete weight of first animal

The weight of first animal = 512 lbs

The weight of second animal = 6.8×10² lbs

Performing multiplication to get the complete weight of second animal

The weight of second animal = 680 lbs

Now, performing addition to find the approximate weights of two animals-

Final answer = 512 + 680

Performing addition to find the approximate weights of two animals

Final answer = 1192 lbs

Now, converting the number in scientific notation -

Final answer = 1.19×10³ lbs

Hence, the final answer in significant digits is 1.19×10³ lbs.

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Yes, the given set of numbers can be the measures of the sides of a triangle. The triangle is acute.

By the triangle inequality theorem, the sum of the lengths of any two sides should be greater than the length of the third side.

6.2 + 13.8 > 20

13.8 + 20 > 6.2

20 + 6.2 > 13.8

Hence, these set of numbers can be the measures of the sides of a triangle.

According to the Pythagorean Inequality Theorem, a triangle whose sides measure a, b, and c where c is the largest, the triangle can be characterized as:

acute if [tex]a^{2} + b^{2} < c^{2}[/tex]

obtuse if  [tex]a^{2} + b^{2} > c^{2}[/tex]

right if  [tex]a^{2} + b^{2} = c^{2}[/tex]

∴The longest side is 20.

Hence, a = 6.2, b = 13.8 and c = 20;

Consider [tex]a^{2} + b^{2}[/tex]  :

= [tex]6.2^{2} + 13.8^{2}[/tex]

= 228.88.

Now consider [tex]c^{2}[/tex] :

= [tex]20^{2}[/tex]

= 400.

Thus,  [tex]a^{2} + b^{2} < c^{2}[/tex].

Hence, the triangle is acute.

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The equation of the line in slope-intercept form is y = 3x + (-7) .

The equation of a line in slope-intercept form can be written as follows,

y = mx + c                                                       equation 1

m in the above equation represents slope of the line and c represents the intercept.

The given equation is -7 -y = -3x .

To get the equation of the line in slope-intercept form we need to convert the given equation in the format of equation of a straight line i.e., equation1. So, now we will rearrange the given equation as

    -7 -y = -3x

⇒ y = 3x + (-7)                                             equation 2

On equating equation 1  and equation 2, we will get

Slope of the line = m = 3

Intercept = c = -7

The equation of the line in slope-intercept form is y = 3x + (-7)  .      

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Answer: x<-5

Step-by-step explanation:

[tex]2.5 < (-0.5)(x)\\2.5 < -0.5x\\[/tex]

Multiply both parts of the equation by 2:

[tex]5 < -x\\5+x < -x+x\\5+x < 0\\5+x-5 < 0-5\\x < -5[/tex]

Answer:

d

Step-by-step explanation:

Based on the calculations, the length of the zoo railroad track which does not need to be replaced is equal to 3543/8 or 442.875.

A fraction can be defined as a numerical quantity which isn't expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In Mathematics, a fraction comprises two (2) main parts and these include the following:

In order to determine the length of the zoo railroad track which does not need to be replaced, we would add all of the length of the zoo railroad track that need to be replaced and then subtract this value from the total length of the zoo railroad track as follows:

Length of replacement = 62/2 + 83/8 + 63/4

Note: Lowest common denominator (LCM) = 8.

Length of non-replacement = (248 + 83 + 126)/8

Length of non-replacement = 457/8

Length of replacement = 500 - 457/8

Length of replacement = (4000 - 457)/8

Length of replacement = 3543/8 or 442.875.

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Answer:

$1,025.52

Step-by-step explanation:

Annual Compound Interest Formula

[tex]\large \text{$ \sf A=P\left(1+r\right)^{t} $}[/tex]

where:

Given:

Substitute the given values into the formula and solve for P:

[tex]\implies \sf 3900=P(1+0.16)^9[/tex]

[tex]\implies \sf 3900=P(1.16)^9[/tex]

[tex]\implies \sf P=\dfrac{3900}{(1.16)^9}[/tex]

[tex]\implies \sf P=\dfrac{3900}{3.802961...}[/tex]

[tex]\implies \sf P=1025.51662...[/tex]

Therefore, you would need to invest $1,025.52.

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The value of Slope is undefined for given points.

A Line's Slope

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate locations and calculating the slope of a line are related tasks.

The formula to calculate the slope is

Slope of the line passing through 2 points is y₂ - y₁ / x₂ - x₁

points given are  (9,3) and (9,-4)

after putting it in the formula,

⇒ -4 - 3 / 9 - 9

It implies that the slope is undefined.

Line is parallel to y axis, x = 9

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Answer:

The answer is 40. If you divide 4000 by 100 you get 40. Hopefully this is what you were looking for.

Step-by-step explanation:

4000/100=40

Answer:

_00 x 10 = _000 (100 x 10 = 1000 basically).

40 x 100 = 4000

so..

40 hundreds is the same as 4 thousands.

  The distance between 37th St. and 36th St. is

x= 275ft

 Similar triangles are those that share at least one vertex and the angular value between the sides associated to their sides is the same, which makes them proportional in their dimensions (same type of triangle).

  To solve this problem we will use the relation of similar triangles, if we raise the equation we have the following way:

x /275 = 220/220

  Proportion of the sides

x/275 = 1

x = 275 ft ,  is the distance x between the lanes N° 37 and 36.

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Answer:

115 ≤ 25a+15

-15. -15

100 ≤ 25a

100/25 ≤ 25/25 a

4≤a

Answer:

    25x + 15 > 115

Step-by-step explanation:

Subtract 15 from both sides

25x+15-15 > 115-15

Simplify

25x > 100

Divide both sides by 25

25x/25 > 100/25

Simplify

x > 4

Sorry if it doesn't help

Answer: 1st image: option 2

2nd image: (x, y) ==> (x+4, y-9) ==> option 4

Step-by-step explanation:

1st image: Reflection over the y-axis means that all x-coordinates are negated while the y-coordinates remain the same.

A: (2, -2) ==> A' (-2, -2)

B: (-2, 5) ==> B' (2, 5)

C: (-4, 2) ==> C' (4, 2)

Answer: option 2

A to A', B to B', C to C'

Purple to Blue

2nd image: 1st, the purple triangle moves 4 units to the right (x ==> x+4)

Then, the purple triangle moves 9 units down to become the blue triangle (y ==> y-9)

(x, y) ==> (x+4, y-9) ==> option 4

Answer: its b

Step-by-step explanation:

The value of q for the given relation will be 32.

A sort of proportionality known as "direct variation" occurs when one quantity immediately changes in response to a change in another variable.

This suggests that if one number increases, the other quantity will also rise proportionately. Similar to the last example, if one quantity declines, the other amount likewise declines. The link between direct variation and the graph will be linear, resulting in a straight line.

As q varies jointly with v and s,

It implies that

q = k v s

Given,

q=24 when v=2 and s=3

24 = k × 2 × 3

k = 24 / 2 × 3

k = 4

When we put v = 4 and s = 2

⇒ q = 4 × v × s

⇒ q = 4 × 4 × 2

⇒ q = 32

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Triangle XYZ with vertices X(-3 , -2), Y(-1 , 0), and Z(0 , -1) is a right triangle.

First, using the distance formula, find the length of each side of the triangle: side XY, side XZ, and side YZ.

d = √(x2 - x1)^2 + (y2 - y1)^2

side XY : d = √(-1 - -3)^2 + (0 - -2)^2 = √4 + 4 = 2√2

side XZ : d = √(0 - -3)^2 + (-1 - -2)^2 = √9 + 1 = √10

side YZ : d = √(0 - -1)^2 + (-1 - 0)^2 = √1 + 1 = √2

Next, check if it follows the Triangle Inequality Theorem which states that the sum of any two sides must be greater than the third side, such that a + b > c, a + c > b, and b + c > a.

let a = XY = 2√2, b = XZ = √10, and c = YZ = √2

a + b > c     2√2 + √10 > √2     5.99 > 1.41     True

a + c > b     2√2 + √2 > √10     4.24 > 3.16     True

b + c > a     √10 + √2 > 2√2     4.58 > 2.83     True

Lastly, to know what type of triangle based on the length of its side,

1. Take the sum of the squares of the two smaller sides.

(√2)^2 + (2√2)^2 = 10

2. Compare it to the square of the largest side.

(√10)^2 = 10

10 = 10

If the sum of the squares of the 2 is larger than the square of the 3rd, it is an acute triangle.

if they are equal, it is a right triangle.

if they are smaller, then it is an obtuse triangle.

Hence, triangle XYZ is a right triangle.

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Answer: Olympic National Park

Established 1938

Size: 922,651 acres

The contrapositive of the statement will be :  if it is not obtuse, then an angle does not measure greater than 90° .

We need to know about conditional and contrapositive statement to solve this problem.

A conditional statement takes the form "If p, then q" where p is the hypothesis while q is the conclusion. So, here in this problem p is 'an angle measures greater than 90° and q is it is obtuse.

The Contrapositive of a Conditional Statement is obtained by supposing that you have the conditional statement p→ q. Now, we first find the inverse of the given conditional statement then swap the roles of hypothesis (p) and  conclusion (q) . Therefore, the contrapositive of the conditional statement p→ q is  ~q → ~p.

Thus, contrapositive of the statement : If an angle measures greater than 90°, then it is obtuse will be if it is not obtuse, then an angle does not measure greater than 90° .

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Answer:

x ≥ 8

Step-by-step explanation:

  x

-------  ≥  4(2)

  2(2)

x ≥ 8

[8, ∞)

I hope this helps!

Answer:

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

-15x + 44 = 8x - 12

-8x -8x

-7x + 44 = -12

- 44 - 44

-7x = -56

x = 8

You can either form no triangles or an endless number of triangles when you are given three angles.

For Example -

How many distinct triangles can you construct using angles of 30, 60, and 90 degrees?

Use a protractor to create one of the angles needed to form a triangle. You can adjust the side lengths to your desired length. Make another angle at the end of one of the sides, then link the sides together. You've constructed a triangle.

You should note that you chose the side lengths. This implies that you might choose differently. This allowed you to create an infinite number of distinct triangles using the same angles.

Hence, we can form infinite number of triangles when only the measurements of three angles is given

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By the definition of supplementary angles, angle 1 + angle 2 = 180° and angle 2 + angle 3 = 180°. Then angle one + angle 2 = angle 2 + angle 3 = 180°. Subtract angle 2 from each side. You get angle 1 = Angle 3 or angle 1 ≅ angle 3.

It should be noted that supplementary angles are the angles that their sum equals to 180°.

Therefore, angle 1 + angle 2 = 180° .... i

angle 2 + angle 3 = 180° .... ii

Equate equation i and ii and subtracting angle 2 from both sides will illustrate that angle 1 = angle 3.

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Complete the paragraph proof.

Given: angle 1 and angle 2 are supplementary, and angle 2 and angle 3 are supplementary.

Prove: angle 1 ≅ angle 3

By the definition of supplementary angles, angle 1 + angle 2 = _____(a) and angle 2 + angle 3 = ____ (b). Then angle one + angle 2 = angle 2 + angle 3 ______(c). Subtract angle 2 from each side. You get angle 1 = ______(d), or angle 1 ≅ ______(e).