1. What is the expression for Distributive Property?

Answer:

x=49/18

Step-by-step explanation:

To find the common roots between two functions, we need to find the roots (or solutions) of each function individually and then identify the shared solutions.

For the function f(x) = x^2 + x - 6, we can find the roots by setting the function equal to zero and solving for x:

x^2 + x - 6 = 0

To factorize this quadratic equation, we need to find two numbers that multiply to -6 and add up to 1 (the coefficient of x). The numbers that satisfy these conditions are 3 and -2:

(x + 3)(x - 2) = 0

Setting each factor equal to zero:

x + 3 = 0 or x - 2 = 0

Solving for x in each equation:

x = -3 or x = 2

Therefore, the function f(x) = x^2 + x - 6 has two roots: x = -3 and x = 2.

To find the common roots between this function and another function, we would need to know the second function. If you provide the second function, I can help determine if there are any shared roots.

The answer to the given question of chi-square fit test is option A.  There is sufficient evidence to conclude that the distribution of attempts has changed.

Based on the given information, the chi-square goodness-of-fit test was used to compare the observed distribution of shot types in the current season to the expected distribution based on the previous year's distribution. The calculated chi-square test statistic is X² = 10.79 with 2 degrees of freedom, and the p-value is 0.005. At the significance level of a=0.01, we reject the null hypothesis if the p-value is less than 0.01. Since the p-value of 0.005 is less than 0.01, we can reject the null hypothesis, which states that the distribution of shot types in the current season is the same as the previous year's distribution. Therefore, the correct answer is A. There is sufficient evidence to conclude that the distribution of attempts has changed. The coach can conclude that there is a significant difference between the observed and expected shot type distribution in the current season compared to the previous year's distribution.

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Answer:

mayne because of grasses and animals

Answer:

D

Step-by-step explanation:

The required equation of the line is given as 3y = 8x +52.

Given that,
The equation in slope-intercept form of the line that passes through the point (12, -2) and is parallel to line 16x + 6y=30 is to be determined.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
The slope of the given line,
16 x + 6y = 30
m = 8/3
Now, the slope of the parallel lines is always equal,
The equation of the line passing (12, -2) is given as,
(y - 12) = 8/3(x + 2)
y = 8x /3 + 16/3 + 12
3y = 8x +52

Thus, the required equation of the line is given as 3y = 8x +52.

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Answer:

option B is correct.

Option A                                                 Option B                                                    

6x = 66                                                    5x = 30  

x = 66/6                                                    x = 30/5

x = 11                                                         x = 6

Option C                                                 Option D

6x = 1                                                       7x + 2 = 15

x = 1/6                                                      7x = 15 - 2

x = \(\sf \sf \frac{1}{6}\)                                                          x = \(\sf \frac{13}{7}\)

Answer:

P(Z>2.24) = P(70<X<1e99) = 1.25%

Step-by-step explanation:

Calculate Z-score:

Z=(x-μ)/σ

Z=(70-63.5)/2.9

Z=6.5/2.9

Z=2.24

Find area greater than Z-score:

P(Z>2.24) = P(70<X<1e99) = normalcdf(70,1e99,63.5,2.9) = 0.0125

So the probability that a randomly selected 10th-grade boy exceeds 70 inches is a 1.25% chance.

The types of study that we have hereare the

2. The question here would be

3. The answer that would be answered here would be

4. The question would be

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Answer:

530.93 cm thats what i got at least

Answer:

A =530.66 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is given by r =13

A = (3.14) (13)^2

A =530.66 cm^2

Answer:

I think the 1st one would be 10...

Step-by-step explanation:

Because 12-2=10 and 18-8=10.

If I'm wrong, im super sorry

Answer:

15.

The trick to working out 5 divided by 1/3 is similar to the method we use to work out dividing a fraction by a whole number.All we need to do here is multiply the whole number by the numerator and make that number the new numerator. The old numerator then becomes the new denominator.

So, the answer to the question "what is 5 divided by 1/3?" is
15!

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The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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The area of the circle is 100π in².

The area of the circle is the space occupied by the circle in a two-dimensional plane.

The area of the circle is calculated as,

Area = πr²

Given that the circumference of a circle is 20π in.

The radius of the circle is calculated  as,

C = 2πr

C = 2 x π x r

20π = 2 x π x r

r = 10 in

The area is calculated as,

Area = πr²

Area = π x ( 10)²

Area = 100π in²

Therefore, the area of the circle will be 100π in².

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Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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The liters of smoothies sold is 9 7/8 liters.

An equation is a statement formed when two algebraic expressions are equated by an equal sign.

The volunteer prepares 12 1/2 = 25/2 liters of smoothies

The remaining amount of smoothies is 2 5/8 = 21/8 liters of smoothies

Let the amount of smoothies sold is x liters

Then the equation formed to determine the value of x is

x = (25/2) - (21/8)

x = 79/8

x = 9 7/8 liters

Therefore, the liters of smoothies sold is 9 7/8 liters.

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Answer:

78/100 i dk hope it helps soo sory if its wrong if its wrong use slader itlll give answers to your textbook cuz it looks like your using one

Step-by-step explanation:

The angle measure for the bottom two angles in order for the triangle to be classified as an isosceles triangle are 30 degrees each

An isosceles triangle has two of its angles equal.

Given that one angle is 120 degrees, assuming the remaining angles are equal, since the sum of the angles in a triangle is 180 degrees, we have:

120 + x + x = 180

120 + 2x = 180

2x = 180 - 120 = 60

x = 60/2 = 30

Each of the remaining angles measure 30 degrees

Answer:

Step-by-step explanation:

85% of fasteners = conforming

10% of fasteners = downgraded

5% of fasteners = scrap

In a sample size of 500 fasteners

410 = conforming , 55 = downgraded,

The true percentage actually differ from 85%, 10%, and 5% as shown below

                               Observed Expected

conforming                 410                  500*0.85 = 425

Downgraded               55                  500*0.10 = 50

Scrap                            35                  500 * 0.05 = 25

Test statistic

determine the test statistic

= [ (410 - 425)2 / 425 + (55 -50)2 / 50 + (35 - 25)2 / 25 ]

chi-square statistic. = 5.0294

Answer:

14.5

Step-by-step explanation:

2.9(5)=14.5

Answer:

14.5p

here,

lets start off by looking at the full scale problem. We already know that each crate can hold 2.9 apples at a time. We also know that we have 5 crates in total.

hence,

we would multiply \(5(2.9)=14.5\)  or  \(5x2.9=14.5\)

Answer:

-2.797

Step-by-sep explanation:

The area in the left tail is the level of significance = \( \alpha = 0.005 \)

n = 25

Since sample size, n, = 25,

Degree of freedom = n - 1 = 25 - 1 = 24

The value of t for the t distribution, that is the t critical value, would be:

\( -t\binom{n - 1}{\alpha} = -t\binom{9}{0.005} \)

The t critical value can be gotten from the t-table at the intersection of the row representing 24 degrees of freedom and the \( t_{0.005} \) column. This would give us -2.797

The t critical value of the left tail would be critical value is -2.797.

After dilation the size of an object can increase or decrease but its shape remains the same. The diameter of the dilated graphic in inches is 768. Therefore, none of the options is correct.

The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.

Given that,

The diameter of circular banner is 4 feet,

And, the scale factor is 16.

Since the scale factor is defined as the ratio of the dimension.

For circle it can be written as,

Scale factor = New diameter ÷ Original diameter

=> 16 = New diameter ÷ 4

=> New diameter = 16 × 4

=> New diameter = 64

Thus, the new diameter is 64 feet.

Since 1 feet = 12 inches

64 feet is equal to 64 × 12 = 768 inches.

Hence, the diameter of the dilated graphic is 768 inches.

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Answer:

Option (1). 34°

Step-by-step explanation:

From the figure attached, CE and CD are the radii of the circle C.

Central angle CED formed by the intercepted arc DE = 68°

Since measure of an arc = central angle formed by the intercepted arc

Therefore, m∠CED = 68°

Since m∠EFD = \(\frac{1}{2}(m\angle ECD)\) [Central angle of an intercepted arc measure  the double of the inscribed angle by the same arc]

Therefore, m∠EFD = \(\frac{1}{2}(68)\)

                               = 34°

Therefore, Option (1) 34° will be the answer.

Answer:

34 (100% Correct)

Step-by-step explanation:

Answer:

12a + 3b.

Step-by-step explanation:

3(4a + b)

= 3 * 4a + 3 * b

= 12a + 3b.

Hope this helps!

Answer:

\(12a+3b\)

Step-by-step explanation:

\(\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=3,\:b=4a,\:c=b\\=3\times \:4a+3b\\\mathrm{Multiply\:the\:numbers:}\:3\times \:4=12\\=12a+3b\)

Answer:

y = 29

Step-by-step explanation:

21 + 11 = y + 3

32 = y + 3

y + 3 = 32

y = 32 - 3

y = 29

Answer:

Lets flip the equation so that it is more aesthetically pleasing for us

y + 3 = 21 + 11

Ok first of all, we cna add 21 and 11 to get 32

y + 3 = 32

We want to get y all by itself, so we are going to take away the 3.

We are going to put that 3 into the 32, but remember we are subtracting :)

y = 29

There is your answer! :)

Step-by-step explanation:

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).

1/4π radians is approximately equal to 45 degrees.

To convert a value from radians to degrees, multiply the value by 180/π. For example, to convert π/4 radians to degrees, multiply π/4 by 180/π to get 45 degrees. This conversion is useful for converting angles between the two units of measurement.

Degrees = Radians × 180/π.

Therefore, to convert 1/4π radians to degrees, we have:

Degrees = (1/4π) × (180/π) ≈ 45°

Hence, 1/4π radians is approximately equal to 45 degrees.

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Answer:

(-4,-4)

Step-by-step explanation:

Since this is centered at (0,0), we have to multiply the x and the y coordinates by the scale factor.

-8 × 1/2 = -4