when the null hypothesis is rejected, it is possible a type ii error has occurred. not possible a type i error has occurred. possible a type i error has occurred. possible either a type i or a type ii error has occurred.

\( {a}^{2} + {b}^{2} = {c}^{2} \)

\( {7}^{2} + {7}^{2} = {98}^{2} \)

\( \sqrt{98} = 9.9 \: yards\)

Answer:

12-8+3 for the numerical and 2x=3y-6 for the algebraic expression

Step-by-step explanation

Numerical expression consists of numbers and one operation

Algebraic expression consist of multiple varaibles  and constents

Answer:

algebraic expression: 6p +18

Answer:

7.7 times the amount of cotton swabs needed.

Step-by-step explanation:

:)

The area bounded by x = 0, y = x - 2, and y = √x is option (b) 7.

To find the area bounded by the curves, we need to determine the points of intersection between them. Setting y = x - 2 and y = √x equal to each other, we can solve for x. By solving the equation x - 2 = √x, we find that x = 4.

The area bounded by the curves can be found by taking the integral of the difference between the upper and lower curves with respect to x, within the limits of x = 0 to x = 4. Evaluating this integral gives us the area, which in this case is 7.

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Answer:

2x+216

Step-by-step explanation:

The answer was easy to get because to factor you would just multiply the two numbers together to get 54x4 = 216 and then add the 2x, so your answer is 216+2x

Answer:

64 degrees.

Step-by-step explanation:

We are given that angle QRP is 32 degrees.

We are also given that angle PRS is 84 degrees.

Add those two angles to get the measure of angle QRS.

measure of angle QRS= 116 degrees.

Same-side interior angles are supplementary

So,

116+ angle PQR= 180

subtract both sides by 116.

PQR=64

Therefore the measure of angle PQR is 64 degrees.

I hope this helps

Answer: yes, Rachelle is correct.

Step-by-step explanation:

first, if you're moving left, you're subtracting from the x value.

4-4=0

next, if you're moving down then you're subtracting from the y value.

2-2=0

if you subtract more than the given numbers, like said in the problem, you would have coordinates like (-1,-1) or (-3,-4)

therefore, you would be in the third quadrant.

The number of people that must be in the group is 15.

The expression for the total cost of Deal A is: $9p + $15

The expression for the total cost of Deal B is: $6p + $3p

Where p is the number of people in the group

When both promotions cost the same, both expressions would be equal:

$9p + $15 =  $6p + $3p

In order to determine the value of p, take the following steps:

Combine similar terms

$6p + 3p - 9p = 15

p = 15

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Answer:

The function g(x)=x^2+x-20 can be expanded as follows:

g(x) = x^2 + x - 20

= x^2 + 5x - 4x - 20

= x(x + 5) - 4(x + 5)

= (x - 4)(x + 5)

Therefore, the equivalent function to g(x)=x^2+x-20 after expansion is f(x) = (x - 4)(x + 5).

Step-by-step explanation:

Answer:

g(x) = (x - 4) (x + 5)

Step-by-step explanation:

Consider the form x² + bx +c. Find a pair of integers whose product is c

and whose sum is b. In this case, whose product is −20 and whose sum is 1.

-4, 5 matches this requirement of the AC method.

Write the factored form using these integers.

(x - 4) (x + 5)

So, the answer is g(x) = (x - 4) (x + 5)

Answer:

10%

Step-by-step explanation:

La teneur en fruits de son cocktail est calculée comme suit:

25% de jus de pomme 0.2L + 50% de jus d'orange 0.1L

0.25 × 0.2 + 0.5 × 0.1

0.05 + 0.05

= 0.10

Conversion en pourcentage

= 0.10 × 100%

= 10%

Par conséquent, la teneur en fruits de son cocktail est de 10%

Answer:

they each get 1 slice because the father took half the pizza.

The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

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hope this helped buddy

Peace

A) part of it is decreasing, part of it is increasing.  

Going left-to-right, the downhill/negative slope is the decreasing portion (x<-1) and the uphill/positive slope is the increasing portion (x>-1).  

B) The x-intercepts are the points where the graph intersects the x-axis: (2,0) and (-4,0).

C: The y-intercept is the point where the graph intersects the y-axis: (0,-2).

D: There is no absolute maximum.  The graph keeps going up forever.

E: The absolute minimum point is at that bottom, at (-1, -3).  The absolute minimum value is -3, since that's the lowest y-value used.

The range of the given sample data is 17 hurricanes, indicating the difference between the maximum and minimum values.

The variance is approximately 27.808, measuring the average squared deviation from the mean.

The standard deviation is around 5.273, representing the typical amount of variation in the data set.

We may perform the following computations to determine the range, variance, and standard deviation for the provided sample data:

Range: The range of a data collection is the difference between its greatest and smallest values.

The total number of hurricanes in this instance ranges from 3 to 20, with 20 being the most.

20 - 3 = 17 hurricanes in the range.

Variance: The variance calculates the data's deviation from the mean.

Find the data set's mean (average).

Mean = (5 + 12 + 16 + 13 + 20 + 11 + 11 + 4 + 7 + 6 + 9 + 17 + 3) / 13 = 10.923.

The difference between each data point and the mean should be determined, squared, and the average of the squared differences should be determined.

Variance\(= [(5 - 10.923)^2 + (12 - 10.923)^2 + ... + (3 - 10.923)^2] / 13 = 27.808.\)

Standard Deviation: The standard deviation is the square root of the variance. It measures the average amount of variation or dispersion in the data set.

Standard Deviation = sqrt(27.808) = 5.273 (rounded to one decimal place).

The important feature of the data not revealed by any of the measures of variation is the pattern over time.

The range, variance, and standard deviation provide information about the spread and dispersion of the data, but they do not capture the temporal trends or patterns in the occurrence of hurricanes.

To analyze the pattern over time, additional techniques such as time series analysis or plotting the data on a graph would be necessary.

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Answer:

about 1854.55 miles (rounded to the hundredth)

Step-by-step explanation:

1.

\( \frac{44}{100} = \frac{816}{x} \)

The first fraction represent the percentage of the distance.

The second one represent the number of 816 miles out of x

2. 100 × 816 = 44 × x

3. You'll get 81,600 = 44x

4. and then you divided both side by 44 to solve for x

Answer:

a₅₀ = - 137

Step-by-step explanation:

There is a common difference between consecutive terms , that is

7 - 10 = 4 - 7 = 1 - 4 = - 2 - 1 = - 3

This indicates the sequence is arithmetic with nth term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 10 and d = - 3 , then

\(a_{n}\) = 10 - 3(n - 1) = 10 - 3n + 3 = 13 - 3n

Substitute n = 50 to obtain 50th term

a₅₀ = 13 - 3(50) = 13 - 150 = - 137

The 50th term in the sequence 10, 7, 4, 1, -2, ... is -137.

It is a sequence where the difference between each consecutive term is the same.

We have,

To find the 50th term in this sequence, we need to determine the pattern or formula that generates the sequence.

From the given sequence, we can see that the common difference between terms is -3.

That is, to get from one term to the next, we subtract 3.

Therefore, the sequence follows an arithmetic progression with a first term of 10 and a common difference of -3.

To find the 50th term,

We can use the formula for the nth term of an arithmetic sequence:

a(n) = a(1) + (n - 1)d

where an is the nth term, a(1) is the first term, n is the term number we want to find, and d is a common difference.

Substituting the values we know, we get:

a(50) = 10 + (50 - 1)(-3)

a(50) = 10 - 147

a(50) = -137

Therefore,

The 50th term in the sequence 10, 7, 4, 1, -2, ... is -137.

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Answer: 65 = x + 2

x = 63 inches

Step-by-step explanation:

Answer: 67

Step-by-step explanation: a p e x

Answer:

12 children

Step-by-step explanation:

1/4 of 16 is 4. 16 subtract the 4 slices she sold is 12 slices of cake for each of her children.

Answer:

12children (wow)

Step-by-step explanation:

1/4 is equal to 4/16 thats how much cake was left so she gave away 12 piecs (3/4 of the cake or 12/16)

16-4 = 12

Answer:

Step-by-step explanation:

If EG is a diameter, then arc EFG is a semicircle and its measure is 180. Arc FG then is 180 - 124 = 56. Since angle FEG is an inscribed angle and the arc it cuts off is arc FG, then the measure of the inscribed angle is half the measure of the arc it cuts off...so angle FEG is 28 degrees. Keep that in mind; we'll need it in a sec.

If HE is tangent to the circle at E, then angle HEG is a 90 degree angle. Adding that to angle FEG will give you angle FEH. Angle FEH = 90 + 28 = 118

The distance around the track along the inside edge of each lane is shown below.

We have to use

Perimeter = 2 x longer dimension+ π x shorter dimensions

So, Distance between lanes

= 20/8

= 2.5 yards

Now, the perimeters are

Lane 1:

= 2 x 80 + π x 56

= 335.84 yards

Lane 2:

= 2 x 80 + π x (56+ 2 x 2.5)

=  351.54 yards

Lane 3:

= 2 x 80 + π x (56+ 4 x 2.5)

=  367.24 yards

Lane 4:

= 2 x 80 + π x (56+ 6 x 2.5)

= 382.94 yards

Lane 5:

= 2 x 80 + π x (56+ 8 x 2.5)

= 398.64 yards

Lane 6:

= 2 x 80 + π x (56+ 10 x 2.5)

= 414.34 yards

Lane 7:

= 2 x 80 + π x (56+ 12 x 2.5)

= 430.04 yards

Lane 8:

= 2 x 80 + π x (56+ 14 x 2.5)

= 445.74 yards

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Answer:

27/8

Step-by-step explanation:

To find the third power of the expression, we multiply it by itself 3 times

3/2 * 3/2 * 3/2 = 27/8

\( ( \frac{3}{2})^{3} \\ = \frac{ {3}^{3} }{ {2}^{3} } \\ = \frac{3 \times 3 \times 3}{2 \times 2 \times 2} \\ = \frac{27}{8} \)

\( \frac{27}{8} \)

ray4918 here...

A Energy t = 54.70 min could it sustain a current.

What does energy mean according to science?

apply power  = energy/time  =  Vi

so energy  E    = vit

time t  =  E/vi

t  =  6400/(1.3* 1.5)

t  = 6400/1.95 sec

t  =  3282.05 sec

t = 54.70 min

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The compound interest generated on the investment is roughly $813.67, which is the solution to the question based on compound interest.

The initial sum of money invested or borrowed, upon which interest is based, is referred to as the principle. The principal is then periodically increased by the interest, often monthly or annually, to create a new principal sum that will accrue interest in the ensuing period.

Using the compound interest calculation, we can determine the interest earned on Sanchez's investment:

\(A = P(1 + \frac{r}{n} )^{(n*t)}\)

where A is the overall sum, P denotes the principal (the initial investment), r denotes the yearly interest rate in decimal form, n denotes the frequency of compounding interest annually, and t denotes the number of years.

In this case, P = $3,000, r = 0.06 (6%), n = 365 (compounded daily),

and t = 4.

Plugging in the values, we get:

\(A = 3000(1 + \frac{0.06}{365} )^{(365*4)}\)

A= $3813.67

The difference between the final amount and the principal is the interest earned.

Interest = A - P

Interest = $3813.67 - $3000

Interest = $813.67

As a result, the investment's interest yield is roughly $813.67.

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Answer:

each get 2 and 1/4 of an apple :) pls give brainliest

Step-by-step explanation:

Yes, it is possible for a plot of a partial expansion of f[x] to share ink with the plot of f[x] all the way from -[infinity] to + [infinity].

Explanation:

We can approximate f(x) as a Fourier series, as follows:

\($$f(x) = \sum_{n=0}^{\infty}a_n\cos\left(\frac{n\pi x}{L}\right)+\sum_{n=1}^{\infty}b_n\sin\left(\frac{n\pi x}{L}\right)$$\)

If f(x) is an odd function, the cosine terms are gone, and if f(x) is an even function, the sine terms are gone.

We can create an approximation for f(x) using only the first n terms of the Fourier series, as follows:

\($$f_n(x) = a_0 + \sum_{n=1}^{n}\left[a_n\cos\left(\frac{n\pi x}{L}\right)+b_n\sin\left(\frac{n\pi x}{L}\right)\right]$$\)

For any continuous function f(x), the Fourier series converges uniformly to f(x) on any finite interval, as given by the Weierstrass approximation theorem.

However, if f(x) is discontinuous, the Fourier series approximation does not converge uniformly.

Instead, it converges in the mean sense or the L2 sense. The L2 norm is defined as follows:

\($$\|f\|^2 = \int_{-L}^{L} |f(x)|^2 dx$$\)

Hence, it is possible for a plot of a partial expansion of f(x) to share ink with the plot of f(x) all the way from -[infinity] to + [infinity].

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The linear cost equation in slope-intercept form is: y = 50x + 1200.To create a linear cost equation in slope-intercept form, we need to identify the independent variable (x) and the dependent variable (y).

In this scenario, x represents the number of items built, and y represents the cost associated with building those items.

Given that it costs $3200 to build 40 items and $4950 to build 75 items, we can set up two points on the cost vs. quantity graph: (40, 3200) and (75, 4950).

Using the slope-intercept form of a linear equation (y = mx + b), where m is the slope and b is the y-intercept, we can find the equation for the cost:

First, calculate the slope (m) using the two points:

m = (y2 - y1) / (x2 - x1)

  = (4950 - 3200) / (75 - 40)

  = 1750 / 35

  = 50

Next, substitute one of the points and the slope into the equation to solve for the y-intercept (b):

3200 = 50 * 40 + b

3200 = 2000 + b

b = 3200 - 2000

b = 1200

Therefore, the linear cost equation in slope-intercept form is:

y = 50x + 1200

In this equation, x represents the number of items built, and y represents the cost associated with building those items.

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Answer:

Z=1

Step-by-step explanation:

please mark me as brainlest

Answer:

z = 1

Step-by-step explanation:

Given :-

12 = 15(z - 1/5)

To Find :

z

Solving :-

12 = 15(z - 1/5)

12 = 15z - 3

15z = 15

Solution :-

z = 1

True. All real numbers satisfy the equation -4(6y+4)+19=12(-2y+5)-55.

The statement "If the equation is true for all real numbers enter 'All'" has been used to indicate that the given equation is true for all real numbers.

Given equation: -4(6y + 4) + 19 = 12(-2y + 5) - 55

Using distributive property, simplify both sides of the equation.

-24y - 16 + 19 = -24y + 60 - 55-24y + 3 = -24y + 5

By transposing -24y from the right-hand side of the equation to the left-hand side of the equation, we can simplify it as follows:

3 = 5

Since the above equation is always false for all real numbers, there is no solution. Therefore, we conclude that the given equation has no solution.

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