URGENT AND EASY 8TH GRADE MATH

It is important to note that this conclusion is based on the data collected from the new tool and may not necessarily represent the entire population of semiconductors produced by the manufacturer.

Based on the information provided, the result of not rejecting the null hypothesis that the critical dimension mean width equals 100 nm indicates that there is not sufficient evidence to conclude that the mean width is significantly different from 100 nm. A semiconductor manufacturer collects data from a new tool and conducts a hypothesis test with the null hypothesis that a critical dimension mean width equals 100 nm. The conclusion is to not reject the null hypothesis. This result does not necessarily provide strong evidence that the critical dimension mean equals 100 nm, but it suggests that there is not enough evidence to reject the hypothesis. It means that the observed data is consistent with the null hypothesis, but it does not prove the mean is exactly 100 nm. Further analysis and data collection may be necessary to draw more conclusive results.

Learn more about population here

https://brainly.com/question/29885712

#SPJ11

To calculate the standard deviation of the returns on this stock, we first need to find the expected return and then calculate the variance before taking the square root.

Given the probabilities and returns for each economic state, let's compute the expected return:

Expected return = (Boom return × Probability of boom) + (Normal return × Probability of normal) + (Recession return × Probability of recession)

Since the probabilities of boom and recession are given as 20% and 25% respectively, the probability of a normal economy is 100% - (20% + 25%) = 55%.

Expected return = (0.32 × 0.2) + (0.14 × 0.55) + (-0.28 × 0.25) = 0.064 + 0.077 + (-0.07) = 0.071

Next, we calculate the variance:

Variance = Σ [Probability(i) × (Return(i) - Expected return)²]

Variance = (0.2 × (0.32 - 0.071)²) + (0.55 × (0.14 - 0.071)²) + (0.25 × (-0.28 - 0.071)²) = 0.049401 + 0.002555 + 0.045956 = 0.097912

Finally, we find the standard deviation by taking the square root of the variance: Standard deviation = √(0.097912) ≈ 0.313, The standard deviation of the returns on this stock is approximately 0.313, or 31.3%.

To know more about probability click here

brainly.com/question/15124899

#SPJ11

The required condition for using an ANOVA (Analysis of Variance) procedure on data from several populations is that the sampled populations have equal variances.

In ANOVA, we compare the variation between the sample means to the variation within each sample. By assuming equal variances across populations, we can make valid statistical inferences about the differences in means.

While it is desirable for the populations to have equal means, it is not a strict requirement for conducting ANOVA. ANOVA can still be used even if the population means are not equal, as long as the assumption of equal variances holds.

Uniformity of the populations or dependence between samples are not specifically required conditions for using ANOVA. The focus is primarily on the assumption of equal variances, which allows for valid statistical comparisons of the means across multiple populations.

know more about ANOVA here: brainly.com/question/30044695

#SPJ11

Answer:

C. 336 cm^2

Step-by-step explanation:

So you are basically just finding the area of each shape and adding them together.

Rectangle on the left: 6 x 12 = 72cm

Triangles: 6 x 8 = 48cm

Middle Rectangle: 8 x 12 = 96cm

Right Rectangle: 10 x 12 = 120 cm

72cm + 48cm + 96cm + 120cm = 336cm^2

The correct answer is Probability and non probability sampling procedure.

There are two distinct exits from sampling procedures.

There are two types of sampling: probability sampling and non-probability sampling.

In probability sampling each population has equal and independent chance to comes in the study . There are various types of probability samplings technique exists . These are simple random sampling , stratified random sampling, cluster sampling , systematic random sampling etc.

In non probability sampling the samples are selected on the basis of personal biasness, judgments and preferences. Judgemental sampling , quota sampling, dimensional sampling etc comes under this type of sampling procedure.

So here the correct answer is

Option -E- Probability and non probability sampling procedure.

Except it all other options are wrong.

To learn more about Probability click here:

brainly.com/question/11234923

#SPJ4

Based on the provided information, the graph of y = v(3x) - 4 must contain the point (-4, -8) and (b) the graph of y = 1/4 v(x) + 9 must contain the point (-12, 6).

As the graph of y = v(x) contains the point (−12, −7), point that must be on the graph of each of the functions below are:

(a) y = v(3x) - 4

3x = -12

x = (-12)/3= -4

y = -4 – 4 = -8

The graph of y = v(3x) - 4 must contain the point (-4, -8).

(b) y = 1/4 v(x) + 9

x = -12

y = 1/4 (-12) + 9 = 6

The graph of y = 1/4 v(x) + 9 must contain the point (-12, 6).

Note: The question is incomplete. The complete question probably is:  The graph of y=v(x) contains the point (−12,−7). What point must be on the graph of each of the functions below? Enter points as (a,b) including the parentheses. (a) The graph of y = v(3x) - 4 must contain the point _ (b) The graph of y = 1/4 v(x) + 9 must contain the point _ .

Learn more about Graph:

https://brainly.com/question/4025726

#SPJ4

Using p-hat formula and probability,

we get

a) Sampling distribution of p-hat = 0.02029286

b)The probability that in a random sample of 500 adults more than 30% do not own a credit card is

=0.3121

c) The probability that in a random sample of 500 adults between 25% and 30% do not own a credit card is 0.6635

We have given that

29% of adults do not own a credit card according to creditcard.com.

a) Sample size (n) = 500 of adults have own credit card

sample proportion, for the adults do not own a credit= 29% = 0.29

Normal distribution exits here with p

= 1-0.29=0.71 and

Standard error (p-hat) =sqrt(p(1-p)/n)

=sqrt(0.71× 0.29/500)

p-hat = 0.02029286

b) Now, more than 30% do not have own credit card.

P(p-hat>0.3) = P((phat- p)/sqrt(p×(1-p)/n) >(0.3-0.29)/sqrt(0.29× (1-0.29)/500))

=P(Z>0.49) =0.3121 (from standard normal table)

c) Sample size (n) = 500 and p-hat lies between 25% to 30% .

P(0.25<phat<0.3)

= P((0.25-0.29)/sqrt(0.29*(1-0.29)/500) <Z< (0.3-0.29)/sqrt(0.29*(1-0.29)/500))

=P(-1.97<Z<0.49)

=0.6635 (from standard normal table)

Hence, we calculated all the required probabilities.

a) p-hat = 0.02029286

b) P(p-hat>0.3) =0.3121

c) P(0.25<phat<0.3) =0.6635

To learn more about Standard error or p-hat , refer:

https://brainly.com/question/12360461

#SPJ4

Complete question:

According to creditcard.com, 29% of adults do not own a credit card.

a. Suppose a random sample of 500 adults is asked, "Do you own a credit card?" Describe the sampling distribution of p-hat, the proportion of adults who own a credit card.

b. What is the probability that in a random sample of 500 adults more than 30% do not own a credit card?

c. What is the probability that in a random sample of 500 adults between 25% and 30% do not own a credit card?

Answer:

\(f(-3)=-18\)

Step-by-step explanation:

Since

\(f(x)=5x-3\), we can plug in our values

\(f(-3)=-15-3\)

Combine like terms

\(f(-3)=-18\)

The equation of the circle expressed in the form x²+y²+ax+by+c=0 is (x+3)² + (y+4)² - 100 = 0.

Center of the circle = (-3,-4)Point on the circumference of the circle = P(5,2) We know that the equation of the circle is given by: (x−a)²+(y−b)²=r² where the center of the circle is (a, b) and the radius is r.

Step 1: Find the radius of the circle using the distance formula Distance between the center of the circle and point

P = radius of the circle.

We get

r = √((-3-5)² + (-4-2)²)r = √64+36r = √100 = 10

Step 2:Find the equation of the circle substituting the center and the radius into the equation of the circle

(x−a)²+(y−b)²=r²(x-(-3))² + (y-(-4))² = 10²(x+3)² + (y+4)² = 100(x+3)² + (y+4)² - 100 = 0

For more question circle

https://brainly.com/question/26605972

#SPJ8

The equation of the parabola is y = 2(x - 1)² + 3

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

Vertex = (1. 3)

Point = (2, 5)

These parameters can be expressed as

(h, k) = (1, 3)

(x, y) = (2. 5)

A parabola can be represented as

y = a(x - h)² + k

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

y = a(x - 1)² + 3

Next, we have

5 = a(2 - 1)² + 3

Evaluate the difference and the exponent

5 = a + 3

So, we have

a = 2

Substitute a = 2 in y = a(x - 1)² + 3

y = 2(x - 1)² + 3

Hence, the equation is y = 2(x - 1)² + 3

Read more about parabola at

https://brainly.com/question/1480401

#SPJ1

Answer:

x=9

Step-by-step explanation:

-x-6-1(3)(Plug in equation) (Multiply -1x3)

-x-6-3(Subtract -6-3)

-x-9(Divide -9/-1)

x=9

a. 2.0405 x 10^7

b. 2.0202 x 10^-2

c. 3.450 x 10^-1

d. 1.1111 x 10^-5

e. 1.0101 x 10^2

f. 9.0650 x 10^-2

a. To convert 20405000 to scientific notation, we move the decimal point to the left until there is only one non-zero digit to the left of the decimal point. This gives us 2.0405, and since we moved the decimal point 7 places to the left, we multiply by 10^7. Therefore, 20405000 can be expressed as 2.0405 x 10^7.

b. To convert 0.0202020 to scientific notation, we move the decimal point to the right until there is one non-zero digit to the left of the decimal point. This gives us 2.0202, and since we moved the decimal point 2 places to the right, we multiply by 10^-2. Therefore, 0.0202020 can be expressed as 2.0202 x 10^-2.

c. To convert 0.3450 to scientific notation, we move the decimal point to the right until there is one non-zero digit to the left of the decimal point. This gives us 3.450, and since we moved the decimal point 1 place to the right, we multiply by 10^-1. Therefore, 0.3450 can be expressed as 3.450 x 10^-1.

d. To convert 0.000011111 to scientific notation, we move the decimal point to the right until there is one non-zero digit to the left of the decimal point. This gives us 1.1111, and since we moved the decimal point 5 places to the right, we multiply by 10^-5. Therefore, 0.000011111 can be expressed as 1.1111 x 10^-5.

e. To convert 101010 to scientific notation, we move the decimal point to the left until there is only one non-zero digit to the left of the decimal point. This gives us 1.01010, and since we moved the decimal point 2 places to the left, we multiply by 10^2. Therefore, 101010 can be expressed as 1.0101 x 10^2.

f. To convert 0.090650 to scientific notation, we move the decimal point to the right until there is one non-zero digit to the left of the decimal point. This gives us 9.0650, and since we moved the decimal point 1 place to the right, we multiply by 10^-1. Therefore, 0.090650 can be expressed as 9.0650 x 10^-2.

Learn more about scientific notation

brainly.com/question/19625319

#SPJ11

Answer:

25 and 54

Step-by-step explanation:

(a)

6z² - 2z + 5 ← substitute z = 2

= 6(2)² - 2(2) + 5

= 6(4) - 4 + 5

= 24 - 4 + 5

= 20 + 5

= 25

(b)

64 - 5z ← substitute z = 2

= 64 - 5(2)

= 64 - 10

= 54

The LCM of a and c is 20.

Here we need to find the minimum possible LCM of a and c. For this a and c must have the minimum possible values.

Now,

LCM of a and b is 12

LCM of b and c is 15

Now for this to be true, b must be a number that is a common factor of 12 and 15, which is 3

Hence, b is 3.

Hence a will obviously be 4 and c will be 5.

Hence the LCM of a and c is 20.

To learn more about LCM visit

https://brainly.com/question/20739723

#SPJ4

Complete Question

The least common multiple of a and b is 12, and the least common multiple of b and c is 15. What is the least possible value of the least common multiple of a and c?

Answer:

Hope this helps :)

Step-by-step explanation:

2 hours will pass before they meet.

"Information available from the question"

In the question:

Aaron starts riding a bike at a rate of 3 mi/h on a road toward a store 20 mi away.

Zhang leaves the store when Aaron starts riding his bike, and he rides his bike toward Aaron along the same road at 2 mi/h.

Now, According to the question:

Total distance = 20mi

Aaron starts riding a bike at a rate of  = 3mi/h

Zhang rides his bike toward Aaron along the same road at  = 2mi/h

Let y be the number of hours for them to meet.

The expression is given as

3y + 2y = 20

solving for y, we have

5y = 20

y = 20/5

y = 4hrs

Therefore, 2 hours will pass before they meet.

Learn more about Expression at:

https://brainly.com/question/29006913

#SPJ4

Answer:

  2w³ +w

Step-by-step explanation:

Given expressions for the sides of a triangle, (-10w³+w) and (4w³-3w), and for the perimeter, (-4w³-w), you want an expression for the third side.

The perimeter is the sum of the side lengths. This relation can be used to find the length of the third side:

  Perimeter = side 1 + side 2 + side 3

  -4w³ -w = (-10w³ +w) +(4w³ -3w) +side 3

  -4w³ -w = -6w³ -2w + side 3 . . . . . . collect terms

  side 3 = (-4w³ -w) -(-6w³ -2w) . . . . . . . subtract (-6w³ -2w)

  side 3 = 2w³ +w . . . . . . . . . . . . . . . . collect terms

There are 70 ways to split 8 people into two teams of 4. There are 1680 ways to split 9 people into 3 teams of 3. There are 945 ways to choose 2 teams of 4 from 10 prospects.

To find the number of ways to split 8 people into two teams of 4, we can first choose the first team in $\binom{8}{4} = 70$ ways, and the second team will be the remaining 4 people.

To split 9 people into 3 teams of 3, we can first choose the first team in $\binom{9}{3} = 84$ ways. After this, we are left with 6 people, from which we choose the second team in $\binom{6}{3} = 20$ ways. The final team will be the remaining 3 people.

To choose 2 teams of 4 from 10 prospects, we can first choose the first team in $\binom{10}{4} = 210$ ways. After this, we are left with 6 people, from which we choose the second team in $\binom{6}{4} = 15$ ways. However, since the order in which we choose the two teams does not matter, we must divide by 2 to get the final answer of $\frac{210 \cdot 15}{2} = 945$.

Learn more about Binom here: brainly.com/question/28384466

#SPJ11

The given statement "a parallelogram has exactly 1 pair of parallel sides. " is false because a parallelogram has two pairs of parallel sides.

This is one of the defining characteristics of a parallelogram. Opposite sides of a parallelogram are parallel and congruent, meaning they have the same length. The parallel sides are formed by the pairs of opposite sides that do not intersect. This property gives the parallelogram its unique shape and symmetry. If a quadrilateral has only one pair of parallel sides, it would not be classified as a parallelogram.

To know more about parallelogram:

https://brainly.com/question/28854514

#SPJ4

ok

The answer is the last line.

Step-by-step explanation:

Using zero product rule, we have -(x - 8)(x + 2) = 0.

Gillian pocket money is x, then Gillian  has \(5/12x\)left after spending on snacks and bus fare.

The term "spending" refers to the act of spending money to buy goods or services. It is the act of exchanging money for something, usually a product, service, or experience. Buying groceries, paying for transportation, or purchasing clothing are all examples of spending. To avoid debt and achieve your financial goals, it is critical to manage your spending wisely in personal finance.

If Gillian spends one-third of her pocket money on snacks and one-quarter on bus fare, she spends 7/12 of her pocket money on snacks and bus fare.

This means she only has \(1 - 7/12 = 5/12\) of her pocket money remaining.

As a result, if her pocket money is x, she has 5/12x left after paying for snacks and bus fare.

To know more about product visit:-

https://brainly.com/question/29652804

#SPJ9

see your answer is given in the image...

Answer:

width=23.205 in.

length=29.085 in.

Step-by-step explanation:

width=x

length =x+5.88

Perimter=x+x+x=5.88+x+5.88=104.58

4x+11.76=104.58

4x=104.58-11.76

4x=92.82

x=23.205

width=x=23.205 In.

length=x+5.88=23.205+5.88=29.085 in.

Answer:

m =10

Step-by-step explanation:

Barry = m

S = m+5  since they are 5 years older

A = m-3  since they are 3 years younger

Add to get the total

m + (m+5) + (m-3) = 32

Combine like terms

3m +2 = 32

Subtract 2 from each side

3m+2-2 = 32-2

3m = 30

Divide by 3

3m/3 = 30/3

m =10

To find the simple interest rate, you can use the following formula:

Simple interest rate = (ending balance - starting balance) / (starting balance * number of years)

In this case, the starting balance is $7,590, the ending balance is $11,916.30, and the number of years is 10. Plugging in these values, we have:

Simple interest rate = ($11,916.30 - $7,590) / ($7,590 * 10)

= ($4,326.30) / ($7,590 * 10)

= $4,326.30 / $75,900

= 0.057 or 5.7%.

Therefore, the simple interest rate is 5.7%.

Answer:

Suppose an investor invested $7,590 in a savings account with basic yearly interest 10 years ago. The account currently has a balance of $11,916.30. 5.7% is the basic interest rate.

Why do we call something "interesting"?

You must pay interest on money you borrow, and you must add interest to money you lend. The most typical approach to display interest is as a percentage of the annualized principal amount of a loan. This ratio represents the interest rate on the loan.

What is meant by an interest example?

By examining the rate, a person can figure out exactly how much interest they will accrue or pay on a loan. For example, if a $100 loan had a nominal interest rate, there would be a $6 interest fee.of 6% ($100 X 0.06). Despite an increase in loan size, the rate doesn't change. Even if the loan amount were increased to$1,000, the borrower would still be expected to pay 6% of the total.

Step-by-step explanation:

Answer:

it is 17.2 + 16.4

Step-by-step explanation:

because 8.6x2= 17.2

then 5.2x2=10.4

then 3+3=6

lastly 10.4+6= 16.4

so that makes it 17.2+16.4

Answer:

Opposite sides of a parallelogram are parallel (by definition) and so will never intersect. The area of a parallelogram is twice the area of a triangle created by one of its diagonals. The area of a parallelogram is also equal to the magnitude of the vector cross product of two adjacent sides.

Step-by-step explanation: