Shaq made 8 out of 15 free throws he attempted in game 6 of the NBA Finals. The Lakers want to know how many consecutive free throws he would have to make to raise the percent of successful free throws to 75% during the game.

write and equation that represents this situation.

We can conclude that the mayor's plan for annexation is likely to be supported by the town's residents.

What do you mean by  Annexation?

International law defines annexation as the forcible acquisition of one state's territory by another state, typically after the possession of the region by an occupying military force. In most cases, it is considered to be unlawful.

According to the question,

We have the given data:

A political study took a sample of 1,600 voters in the town and found that 69% of the residents favored annexation.

The conclusion of the hypothesis test is that we reject the null hypothesis that the percentage of residents who favor annexation is 65% or lower. The sample data suggests that 69% of residents favor annexation and the p-value associated with the test statistic is 0.07, which is less than the significance level of 0.05.

This indicates that the data is significantly different from the null hypothesis and that the true percentage of residents who favor annexation is likely greater than 65%.

Therefore, we can conclude that the mayor's plan for annexation is likely to be supported by the town's residents.

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Answer:

Answer:

15 + 3√7

Step-by-step explanation:

perimeter = sum of all sides

since it is a right-angled triangle, hence we can find the 3rd side using Pythagoras theorem:-

hypotenuse = √(12² + 3²)

=> √(144 + 9)

=> √153  = 3√7

perimeter = 12 + 3 + 3√7

15 + 3√7

For a system with equations y = f(x) and y = g(x), the graph of the system will be just a coordinate plane with the two functions graphed on it.

What is functions graphed?

What Does Graphing Functions Mean? Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) represents the function. As an illustration, the graph below depicts the linear function f(x) = -x+ 2.

From this, we can see that the correct option is the first one:

"On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0)."

Also a graph of the system can be seen at the end of this answer.

Here our system is:

y = 3

x + y = 4

The first one is a horizontal line at y = 3.

The second can be rewritten as:

y =  -x + 4

So this is a line with a negative slope, that passes through the points (0, 4) (when you evaluate in x = 0, you get y = 4) and (4, 0) (when you evaluate in x = 4, you get y = 0)

Then the correct option is the first one:

"On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0)."

The graph can be seen below

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The length of one piece is equal to 85 inches and the other piece is equal to 107 inches.

The quantity or formula required to change a measurement from one system of units to another is known as a conversion factor. The number is typically presented as a numerical ratio or fraction that can be multiplied.

As from the conversion factor we know that,

1 Feet = 12 Inches

So, 16 Feet = 16 * 12 = 192 inches

Let the length of one piece be x

Then the other piece length will be x + 22

The required equation will be

x + x + 22 = 192

2x = 170

x = 85.

Hence, the length of one piece is equal to 85 inches and the other piece is equal to 107 inches.

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Answer:

SSS, SAS, ASA, AAS

Step-by-step explanation:

s = sides

a = angle

The equation 4(t + 25) = 4(t + 50) - 4(0.15t) can be solved as explained below to determine the value of t, which is t = 166.67.

If we are given the equation, 4(t + 25) = 4(t + 50) - 4(0.15t), to find the value of the variable t, follow the steps explained below.

4(t + 25) = 4(t + 50) - 4(0.15t) [given]

Open the parentheses by applying the distributive property:

4t + 100 = 4t + 200 - 0.6t

Combine like terms:

4t + 100 = 3.4t + 200

4t - 3.4t = -100 + 200

0.6t = 100

Divide both sides by 0.6

0.6t/0.6 = 100/0.6

t = 166.67

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Answer:

Here is answer

Step-by-step explanation:

To find the least common multiple (LCM) of three polynomials, we need to find the smallest polynomial that is divisible by all three of them.

Let's start by factoring each of the given polynomials:

ax² - (a² + ab)x+ a²b = a(x - b)x

bx² - (b² + bc)x+ b²c = b(x - c)x

cx² - (c² + ac)x + c²a = c(x - a)x

The LCM of these three polynomials is the smallest polynomial that is divisible by all three of them. In this case, the smallest such polynomial is (x - a)(x - b)(x - c)x. This is because it is divisible by each of the given polynomials and no smaller polynomial is divisible by all three of them.

Therefore, the LCM of the given polynomials is (x - a)(x - b)(x - c)x.

The probability of experiencing only nausea is 0.06.

Using Venn Probabilities, it is found that there is a 0.45 = 45% probability of experiencing neither of the side effects.

What is a Venn probability?

In a Venn probability, two non-independent events are related with each other, as are their probabilities.

The "or probability" is given by:

P(N∪D) = P(N) + P(D) - P(N∩D)

In this problem, the probabilities given are:

P(N)= 0.2 , P(D)= 0.45 , P(N∩D) = 0.14

The "at least one" probability is:

P(N∪D) = 0.20 + 0.45 - 0.14 = 0.51

Hence, the "neither" probability is:

1 - P(N∩D) = 1 - 0.51 = 0.49

The probability of experiencing only nausea = P(nausea) - P(both side effects)

                                                                           =0.20 - 0.14

                                                                            =0.06

0.49 = 49% probability of experiencing neither of the side effects.

The probability of experiencing only nausea is 0.06.

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453 cubic units of food is poured to the cylindrical dog feeder of 18 inches tall and has a diameter of 8 inches.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that the cylindrical dog feeder is 18 inches tall and  has a diameter of 8 inches

height is 18 inches

Diameter=8 inches

Radius =4 inches

The feeder is currently half full, how much more food can be poured into the feeder.

We know that volume of a cylinder is V=πr²h

Substitute the values of r and h in the given formula.

V=22/7(4)²×18

=22×16×18/7

=6336/7

=905.142.

As the feeder is currently half full, so let divide the volume by 2.

905.142/2

=452.5

=453

Hence, 453 cubic units more food is need or poured into the feeder.

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Answer:

b = [tex]\sqrt{2p/a}[/tex]

Step-by-step explanation:

The given equation is:

p=1/2ab^2

Multiply by 2 on both sides

2p = ab^2

Then divide by a on both sides,

b^2 = 2p/a

take square root on both sides, then we can get subject of b,

b = [tex]\sqrt{2p/a}[/tex]

Hence, the subject of the given equation make the value of b is b = [tex]\sqrt{2p/a}[/tex]

The subject of an equation is the value that is being solved for. An equation is a mathematical statement consisting of an equality sign (=) between two expressions that have the same value. The expression on the left side of the equality sign is called the left-hand side, while the expression on the right side of the equality sign is called the right-hand side. The left-hand side of the equation can be thought of as what is being solved for, while the right-hand side of the equation can be thought of as the clues or tools that are used to solve for the left-hand side. For example, in the equation 3x + 1 = 7, the subject of the equation is the variable x, which is the value that is being solved for.

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It is true that qualitative variable categories must be mutually exclusive and exhaustive as a whole.

It has been observed that when two occurrences are mutually exclusive, they cannot take place simultaneously. However, it need not entail that one of the two occurrences must take place. As a result, when two events are exhaustive of one another, one of them is said to occur.

It signifies that two occurrences cannot happen at the same moment if they are mutually exclusive. However, it doesn't entail that one of the two events must take place. If two occurrences are mutually exclusive, then one of them must take place.

The categories (answer possibilities) must, in the first place, be mutually exclusive, which means they cannot overlap. In order to give all alternatives that might make up a response list, survey answer options must be collectively thorough.

For instance, the act of flipping a coin is said to be both mutually exclusive and collectively exhaustive. Either heads or tails must result in this situation. These are variables, then.

Therefore,

It is true that qualitative variable categories must be mutually exclusive and exhaustive as a whole.  

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Answer:

Step-by-step explanation:

7/8
------
3/10

use the fraction rule: 7x10/8x3- 35/12

try that, im not sure if its fully correct

Answer: B

Step-by-step explanation:

A - Nope.

B - Possibility.

C. Nope. (2.23606797)

D. Nope.

When facing questions like this, it can be easier to use the process of elimination.

The mark that is required to receive an A on the test is; 75.68

The formula for z-score here with the parameters given is;

z = (x' - μ)/σ

where;

x' is sample mean

μ is population mean

σ is standard deviation

We are given;

p-value = 10% = 0.1

μ = 68

σ = 6

Now, from z-score tables, the z-score at a p-value of 0.1 is z = 1.28. Thus;

1.28 = (x' - 68)/6

x' = 68 + (1.28 * 6)

x' = 75.68

We conclude that this value is the mark required to receive an A on the test.

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Answer:0.41

Step-by-step explanation:

The value of x for the given figure is 2.35 if triangle ΔCDG~ ΔEDF

Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The designation "triangle ABC" refers to a triangle containing the vertices A, B, and C. When three points are non-collinear in Euclidean geometry, they each produce a distinct triangle and plane. Since it was first described on the first page of Euclid's Elements, the vocabulary for classifying triangles is more than two thousand years old. Modern categorization names are either literal transliterations of Euclid's Greek or their Latin interpretations.

A closed triangle has 3 sides, 3 angles, and 3 vertices. It is a 2-dimensional shape. Polygons include triangles as well. ABC is used to signify a triangle in the previous illustration.

FD/DC=ED/DG

2x+7/48=5x-2/40

40(2x+7)=48(5x-2)

80x+280=240x-96

160x=376

x=2.35

Therefore, The value of x for the given figure is 2.35 if triangle ΔCDG~ ΔEDF

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Answer: $23.40

Step-by-step explanation:

To find out how much Olivia spent on the bracelet, we need to subtract the cost of the sunglasses from the total amount spent. In this case, that would be $39.75 - $16.35 = $<<39.75-16.35=23.40>>23.40. Therefore, Olivia spent $23.40 on the bracelet.

The original price is $171.59 and the price during sales is $148.37 then the percent markdown will be 13.53%.

The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.

As per the given information in the question,

Original selling price = $171.59

Price during sales = $148.37

Then, the percentage markdown will be,

% markdown = (171.59 - 148.37)/171.59 × 100

= 23.22/171.59 × 100

% markdown = 13.53%

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Answer:

-48y+24

Step-by-step explanation:

−6⁢(⁠4y + 4y + (−4)⁠)

=-6(8y+-4)

=-48y+24

Answer:

-48y + 24

Step-by-step explanation:

−6⁢(⁠4y + 4y + (−4)⁠) =

= −6⁢(⁠8y - 4)

= -48y + 24

Answer:

The greatest place value of a number is the first non-zero digit on the left in that number.

The equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

What is the isolation of a variable in an equation?

Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.

Isolation is the process of moving one variable to one-side of the equation and everything else on the other side of the equation.

How to solve the question?

In the question, we are given an equation, y = mx + b, and are asked to write m in terms of x, y, and b.

This means that we need to isolate the variable m, to get an expression equal to m.

The isolation of the variable m can be done as follows:

y = mx + b,

or, y - mx = mx + b - mx {Subtracting mx from both sides},

or, y - mx = b {Simplifying},

or, y - mx - y = b - y {Subtracting y from both sides},

or, -mx = b - y {Simplifying},

or, (-mx)/(-x) = (b - y)/(-x) {Dividing both sides by (-x)}

or, m = (y - b)/x {Simplifying}.

Thus, the equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

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The equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

What is the isolation of a variable in an equation?

Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.

Isolation is the process of moving one variable to one-side of the equation and everything else on the other side of the equation.

How to solve the question?

In the question, we are given an equation, y = mx + b, and are asked to write m in terms of x, y, and b.

This means that we need to isolate the variable m, to get an expression equal to m.

The isolation of the variable m can be done as follows:

y = mx + b,

or, y - mx = mx + b - mx {Subtracting mx from both sides},

or, y - mx = b {Simplifying},

or, y - mx - y = b - y {Subtracting y from both sides},

or, -mx = b - y {Simplifying},

or, (-mx)/(-x) = (b - y)/(-x) {Dividing both sides by (-x)}

or, m = (y - b)/x {Simplifying}.

Thus, the equation y = mx + b, when isolated for the variable m, gives us m in terms of x, y, and b, as m = (y - b)/x.

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Answer:

Below

Step-by-step explanation:

First , realize that angle P = 50 °

   Are you familiar with the Law of Sines ?

5/ sin70 = QR / sin 50

QR = 5 sin 50 / sin 70

Answer:4

Step-by-step explanation:

Retain the null because 1.74 is greater than 1.645.

What is z - test statistic?

Any statistical test for which the test statistic's distribution under the null hypothesis can be roughly represented by a normal distribution is known as a Z-test.

Z-tests examine a distribution's mean.

Let X be the average time that prescholars spend on tablets.

X ~ N(μ, α^2)

To test H0: μ = 3 hours Vs H1: μ ≠ 3 hours.

The z - test statistic is obtained as 1.74.

Taking level of significance α = 0.05

Zα/2 = [tex]Z_0_._0_2_5 = 1.96[/tex]

Since the observed z - statistic is 1.74 which is less than Zα/2 = [tex]Z_0_._0_2_5 = 1.96[/tex],

so we retain the null hypothesis.

Hence, retain the null because 1.74 is greater than 1.645.

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Complete question:

Complete question is attached below.

Answer:

Step-by-step explanation:

g(x) = (-x)1/2

Answer:

we find that Santiago needs to deposit $3068.96 every six months in order to reach his goal of $75000 at the end of 8 years.

Step-by-step explanation:

To solve this problem, we can use the formula for compound interest:

FV = PV(1 + r/n)^(nt)

where:

FV is the future value (in this case, the amount Santiago wants to save, $75000)

PV is the present value (the amount Santiago needs to deposit every six months)

r is the annual interest rate (4.8% in this case)

n is the number of times the interest is compounded per year (semi-annually, or 2 times per year in this case)

t is the number of years Santiago is saving for (8 years in this case)

Rearranging the formula to solve for PV, we get:

PV = FV / (1 + r/n)^(nt)

Plugging in the values from the problem, we get:

PV = $75000 / (1 + 0.048/2)^(2*8)

Thus, we find that Santiago needs to deposit $3068.96 every six months in order to reach his goal of $75000 at the end of 8 years.

Answer:

x = 3[tex]\sqrt{7- x}[/tex]

Step-by-step explanation:

so what you do here is move the x to the other side.

X^2 = 63 - x

then you square root both sides

so [tex]\sqrt{x^{2} }[/tex] and [tex]\sqrt{63 - x}[/tex]

so you end up with

x =   [tex]\sqrt{63 - x}[/tex]

so now we ask what can we take out? 9 times 7 is 63 and 9 is a perfect square so when we take the square root of that, we end up with

x = 3[tex]\sqrt{7- x}[/tex]

have a good day :)