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Since pp-value is greater than all considerable significance levels (alpha = 0.05, 0.01α=0.05,0.01), we fail to reject the null hypothesis. In order words, we do not have enough evidence to disapprove hatchery's claims.

A hypothesis is a statement that makes sense in light of the available information but hasn't been proved true or wrong. A hypothesis in statistics is a claim that will serve as the foundation for hypothesis testing (also known as a statistical hypothesis). A straightforward hypothesis is a claim that expresses the relationship between precisely two variables. a dependent and a single independent. Take the statement "Smoking is a significant cause of lung cancer" as an example. Smoking is an independent variable that influences the dependent variable, lung cancer.

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The value of a $500 certificate after one year is $525.

The number of children take greek and hebrew = 2

In this question, we have been given that in a class of 30 children, 20 take latin, 14 take greek, and 10 take hebrew.

So, n(s) = 30

Let set a: children taking Latin language

n(a) = 20

set b: children taking Greek language

n(b) = 14

set C: children taking Hebrew language

n(c) = 10

no child takes all three languages

⇒ n(a ∩ b ∩ c) = 0

And eight children take no language

⇒ n(S) -  n(a ∪ b ∪ c) = 8

So, n(a ∪ b ∪ c) = 8

This means, 22 children taking languages.

Of those 22 kids, 14 take Greek and 10 take Hebrew.

14+10 = 24

This means, at least 2 children must taking Greek and Hebrew.

Since no child takes all three languages, the children taking Greek and Hebrew can't be taking Latin. Since 20 of the 22 kids are taking Latin, that means at most 2 are taking Greek and Hebrew.

Therefore, 2 children take greek and hebrew

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The missing values are as shown below:

A.) 15

B.) 1 year

C.) $50

D.) 1.5%

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The percentage equation goes thus:

Interest earned = principal * rate * time

A)

Principal: $100 Interest rate: 5% Time in years: 3 Interest earned

Interest earned = $100 * 0.05 * 3

Interest earned = $15

B.)

Principa;" $500 Interest rate: 4% Time in years: interest earned: $20

Interest earned = principal * rate * time

20 = 500 * 0.04 * time

20 = 20 * time

Time = 20 / 20 = 1

Time = 1 year

C.)

Principal: Interest rate:10% Time in years: 7 Interest earned:$35

Interest earned = principal * rate * time

$35 = principal * 0.1 * 7

$35 = principal * 0.7

Principal = $35 / 0.7

Principal = $50

D.)

Principal: $200 Interest rate: Time in years:2 Interest earned: $6

Interest earned = principal * rate * time

$6 = $200 * rate * 2

$6 = $400 * rate

Rate = $6/$400

Rate = 0.015 = 1.5%

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The system of equations that models the situation are:

g + 3b = $26

g + 5b = $38

The price of one miniature golf game is $8 and the price of one bracelet price is $6

g + 3b = $26 equation 1

g + 5b = $38 equation 2

Where:

The elimination method would be used to solve the equations.

in order to determine the value of b, subtract equation 1 from equation 2

2b = 12

Divide both sides of the equation by 2

b = 12 /2

b = 6

In order to determine the value of g, substitute for b in equation 1:

g + 3(6) = $26

g + 18 = $26

g = $26 - $18

g = $8

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Step-by-step explanation:

y=Mx+b

M- slope

B- y intercept

1. find slope by choosing 2 point(any 2)

Once you’ve picked 2 point- (X1, y1) (x2, y2) set up the equation to calculate slope

y2-y1 / x2-x1 = m

2. Solve for b

Take any point and plug in the x and y value

Plug in y= (the slope you solved for)(x intercept) + b

3. then write the equation

Y= (slope)x + b

Among the following, the population mean u = (upper confidence limit) + (lower confidence limit) is not derived from the confidence interval.

A confidence interval is defined as the range of values that we observe in our samples and for which  we expect to find the value that accurately reflects the population.

In frequentist statistic, a confidence interval is a range of estimates for an unknown parameter.    

To find a confidence level for a data set by taking half of the size of the confidence interval, multiplying it by the square root of the sample size and then dividing by the sample standard deviation.

Confidence level refers to the percentage of probability,or certainty, that the confidence interval would contain the true population parameter when you draw a random sample many times. The most common confidence levels are 90%, 95% and 99%.

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The value of z after solving the equation z³ = 8 is 2.

The result of a number (x) being multiplied three times is referred to as the cube of that number. The phrase "cube root" in mathematics means "the number that needs to be multiplied three times in order to acquire the original number." Let's now examine the cube root formula, in which y is equal to the cube root of x. ∛x = y. Any integer can be represented as the cube root by the radical sign ∛, which has a little 3 written on the top left of the sign. Writing 1/3 as a number's exponent is another method to represent a cube root.

The given equation

z³ = 8

The number 8 can be written as

8 = 2 × 2 × 2

= 2³

So,

z³ = 2³

So, comparing both sides, we get

z = 2

This is the solution to the equation.

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The equivalent form of the function is [tex]Q(t)=4000(64)^t[/tex]

The equation of the function, according to the question is given as

Q(t)=4000(4)3t

This equation can be properly rewritten as

Q(t)=4000(4)³⁺

Express 4 as a radical expression

So, we have the following representation

Q(t)=4000(4³)⁺

Evaluate the exponent in the above expression

Q(t)=4000(64)⁺

The above expression cannot be further simplified

Hence, the solution to the exponential expression is Q(t)=4000(64)⁺

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Complete question

Q(t)=4000(4)3t.

Write an equivalent function of the form Q(t)=ab^t.

It will take the new crew 8 hours to paint the new apartment.

Two quantities are said to be in inverse proportion if an increase in one leads to a decrease in the other quantity and a decrease in one leads to an increase in the other quantity". In other words, if the product of both the quantities, irrespective of a change in their values, is equal to a constant value, then they are said to be in inverse proportion.

if it takes both crews 4 hours to paint the crew and both crew worked at same rate.

Then it will take the new crew 4 x 2 hours to complete the apartment which is 8 hours.

In conclusion, the new crew will complete the apartment in 8 hours

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The amount that actually enrol is 3000

From the question, we have the following parameters that can be used in our computation:

Expected enrolment = 70%

Actual enrolment = 30%

Number of applicants = 10000

This means that

Actual = Actual enrolment * Number of applicants

Substitute the known values in the above equation, so, we have the following representation

Actual = 30% * 10000

Evaluate

Actual = 3000

Hence, the amount  is 3000

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The statement of the given hypothesis is False.

What is hypothesis testing?

Hypothesis testing is a statistical analysis that looks at a sample to see if the findings are representative of the population. Depending on the type of data used and the goal of the research, the analyst will choose a certain approach.

Given:  A researcher wants to test the hypothesis that on average girls perform better on standardized tests than boys.

">" sign implies that right-tailed test i.e., one-tailed right-sided.

Hence, the given statement is False.

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 This is an example of discrete data because this data cannot be broken into decimals.

The scale reads more than 100 pounds of force when the elevator speeds upward while moving downward.

Gravity pulls downward while the lift is not in motion, as shown by the reading on the scale of;

F = m g

F = 100 lbs force.

When the lift begins to rise quickly, the child's normal response force increases by (ma)

Net weight on the scale becomes;

F = m g + m .

Scale will thus display weight that is larger than 100 lbs. force.

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Answer:

3600°

Step-by-step explanation:

the sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

here n = 22 , then

sum = 180° (22 - 2) = 180° × 20 = 3600°

Answer:

3360°

Step-by-step explanation:

180n-360= sum of interior angles

To find the distance between the high school and the stadium, we need to use the distance formula. The distance formula is given by the following equation:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) is the coordinates of the starting point, and (x2, y2) is the coordinates of the ending point.

In this case, the starting point is the high school, which is located at the coordinates (2, 5), and the ending point is the stadium in Columbus, which is located at the coordinates (8, 13). Plugging these values into the distance formula, we get:

d = sqrt((8 - 2)^2 + (13 - 5)^2)

d = sqrt(6^2 + 8^2)

d = sqrt(36 + 64)

d = sqrt(100)

d = 10

Therefore, the distance between the high school and the stadium is 10 units. Since 1 unit is equal to 8.6 miles, the distance between the high school and the stadium is 86 miles.

It's worth noting that the rest stop is located halfway between the high school and the stadium. This means that the distance from the high school to the rest stop is 86/2 = 43 miles, and the distance from the rest stop to the stadium is also 43 miles. This can be verified by using the distance formula to find the distance between the rest stop and the high school, and then between the rest stop and the stadium.

The value of n is 25  according to standard deviation in the question.

What is standard deviation?

Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.

Main body:

s = 30 minutes

C.I. = 99%

mean = 15 minutes

z value for 99% = 2.58

mean = z*s/√n

15  = 2.58 * 30 / √n

√n = 5.06

n = 25

Hence the value of n is 25 .

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We can infer that those assertions do not provide us with adequate details on the hundredths in the decimal system.

The decimal numeral system is widely used to express both integer and non-integer numbers.

The Hindu-Arabic number system has been expanded to include non-integer values.

The way of representing numbers in the decimal system is known as decimal notation.

(1) Since 2 is the eleventh digit of 100z, we may begin writing 100z.

10z = 100(a.bcd)

The decimal point is moved two places to the right by multiplying by 100, giving us the value of:

10z = 100abc.d

Then we shall have d = 2 if the tenths of 100z equal 2.

We have so far: z = a.bc2

(2) Since 1000z's units digit is 2, we may begin writing 1000z.

1000z = 1000a.bc2

We need to move the decimal point three places to the right so that we have order to multiply by 1000:

1000z = abc2

As a result, we can now confirm that the unit digit is actually 2.

However, the number is as follows: z = a.bc2

Therefore, we can infer that those assertions do not provide us with adequate details on the hundredths in the decimal system.

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Answer:

5 1/5

Step-by-step explanation:

you set up the fraction in the division bracket with the denominator staying the same in the final answer. The denominator will go on the inside, and the 5 on the outside.

5 1/5 :)))))))))))))))))))))))))))))))))))))))))))

The sandwich and soup combos that can be served is 48.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, 1/3 liter of soup is served with each sandwich and soup combo.

Since the cook made 16 liters of soup to serve with sandwiches as part of the combo. The sandwich and soup combination will be:

= 16 ÷ 1/3.

= 16 × 3

= 48

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99% confidence interval would be (10.78,11.82) for the true mean of the damaged items.

Variability is measured by the variance. It is determined by averaging the squared deviations from the mean.

The degree of dispersion in your random sample collection is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.

You may determine the average distance between each number and the mean using the standard deviation, which is obtained from variance. It is the variance's square root.

Both metrics capture distributional variability, although they use different measurement units:

Standard deviation is represented in the same units as the initial values (e.g., meters).

Larger units are used to express variation.

How to solve?

n = 12

Average = 11.3

Variance = 0.49

Standard deviation = √0.49=0.7

so, we need to find 99% confidence interval.

At 99% confidence , z = 2.58

So, interval would be

x±z* σ/√n = 11.3 ±2.58* 0.7/√12

=11.3±0.521

=(11.3 - 0.521,11.3 +0.521

= (10.78, 11.82)

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Hence, the equation of parabola in vertex from vertex [tex](4,4)[/tex] point [tex](3,-2)[/tex] is

[tex]y=-6(x-4)^2+4[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

The parabola in vertex from vertex [tex](4,4)[/tex] point [tex](3,-2)[/tex] .

Here [tex](x,y)=(3,-2)[/tex] and [tex](x_1,y_1)=(4,4)[/tex]

The general formula is

[tex]y=a(x-x_1)^2+y_1[/tex]       ....[tex](1)[/tex]

Substitue the given values in the equation [tex](1)[/tex], we get

When [tex](x_1,y_1)=(4,4)[/tex]

[tex]y=a(x-4)^2+4[/tex]

When [tex](x,y)=(3,-2)[/tex]

[tex]-2=a(3-4)^2+4\\\\-2=a(-1)^2+4\\\\-2=a+4\\\\a+4+2=0\\\\a+6=0\\\\a=-6[/tex]

So, the equation is of thr form

[tex]y=-6(x-4)^2+4[/tex]

Hence, the equation of parabola in vertex from vertex [tex](4,4)[/tex] point [tex](3,-2)[/tex] is

[tex]y=-6(x-4)^2+4[/tex].

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Probability which is randomly selected race participants with finishing time less than 165 minutes is equal to 0.84.

As given in the question,

Mean 'μ' = 149 minutes

Standard deviation 'σ' = 16 minutes

Probability of randomly selected race for finishing time less than 165 minutes

⇒ P( X < 165 ) = P [(X - μ)/σ < (165 -149)/16]

                       = P  [(X - μ)/σ < 1]

                       = P ( z < 1 )

Probability is associated with 1,2,3 standard deviation of 68%, 95% and 99.7%

Empirical rule = 68 - 95 - 99.7

P ( z < 1 ) = 0.5 + 0.68/2

               = 0.5 + 0.34

               = 0.84

Therefore, the probability for randomly selected participants whose finishing time is less than 165 minutes is 0.84.

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Answer:

Step-by-step explanation:

84% is the answer for Knewton Alta Stats

Blank 1: Corresponding because All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent.

Blank 2:

Blank 3: x= 46 as 180-134 = 46

The ant travels at a pace of 1/15 mins per centimeters.

What is Pace?

Meaning of pace is rate of movement.

Pace is the inverse of speed.

If speed is measured in units of distance per unit of time then pace is measured in units of time per unit of distance.

We know speed is total distance travelled in the total time taken

speed = distance/time

According to the given question:

Ant travels 30cm in every 2 minutes

Distance travelled by ant = 30 cm

Time taken to travel this distance = 2 minutes

Therefore, speed of the ant is

30/2 = 15 cm per min

Now pace = inverse of speed

pace = 1/15 min per cm

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Answer: $0.95

Step-by-step explanation:

7.90 - 1.25 = 6.65

6.65 divided by 7 = 0.95

The condition that p(x)/q(x) is an integer for any number of inputs of integers x is satisfied by the integer polynomials p and q. It's not necessary for q(x) to split p(x).

In mathematics, a polynomial with integer values (also called a numerical polynomial) has an integer value for each integer n.

Contrary to popular belief, every polynomial with integer coefficients has integer values.

For instance, when t is an integer, the polynomial takes on integer values.

So, polynomials are the sums of terms of the form kˣⁿ, where k is any number and n is a positive integer.

A description of polynomials, such as the polynomial 3x+2x-5.

The concepts of degree, standard form, monomial, binomial, and trinomial are all covered in this section.

Therefore, the condition that p(x)/q(x) is an integer for any number of inputs of integers x is satisfied by the integer polynomials p and q. It's not necessary for q(x) to split p(x).

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