If the average stock price for per day is $21.50 with a variance of $2.75. What is the probability that tomorrow the stock price will have a trading price range of \$18.50 to \$24.50? (Round your answer to two decimal place) (8) Let x∼N(16,4) (a) What is E[x] ? (b) What is Var[x] ? (c) What is Standard Deviation of X ?

Answer:

slope = - \(\frac{1}{3}\)

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (3, 0) ← 2 points on the line

m = \(\frac{0-1}{3-0}\) = - \(\frac{1}{3}\)

The line crosses the y- axis at (0, 1), thus y- intercept is 1

Answer:

parallel as if we place the ond the coordinate grkd they will form lines paral.el to each other(;

a. The response variable in this experiment is the binding strength. b. The experimental conditions are determined by the type of glue. c. The extraneous variables mentioned are the number of pages and the book's binding type, and other variables to consider include temperature, humidity, application technique, pressure, and drying time.

a. The response variable in this experiment is the binding strength. It is the variable of response variablethat will be measured to determine the effect of different glues.

b. The explanatory variable that will determine the experimental conditions is the type of glue. It is the variable that is manipulated by the experimenter to observe its impact on the binding strength.

c. The two extraneous variables mentioned in the problem description are the number of pages in the book and whether the book is being bound as a paperback or a hardback. These variables are not the focus of the experiment but are mentioned as factors that may potentially affect the binding strength.

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The probability that 2 gardeners will order the same type of seeds is approximately 0.8103 or 81.03%

The probability that 2 gardeners will order the same type of seeds can be calculated using the formula below:

P (at least 2 gardeners order the same type of seeds) = 1 - P (no gardeners order the same type of seeds)

We can use the formula for calculating probability when there is no replacement,

which is:

P (no gardeners order the same type of seeds)

= n! / (n - r)! × n^r,

Where n is the total number of options and r is the number of choices or gardeners in this case.

Therefore, we have:

P (no gardeners order the same type of seeds)

= 11! / (11 - 6)! × 11^6

= 11 × 10 × 9 × 8 × 7 / 720 × 11^6

≈ 0.1897

Using the formula for the probability that at least 2 gardeners will order the same type of seeds,

we have:

P (at least 2 gardeners order the same type of seeds)

= 1 - P (no gardeners order the same type of seeds)

≈ 1 - 0.1897

≈ 0.8103

Therefore, the probability that 2 gardeners will order the same type of seeds is approximately 0.8103 or 81.03%.

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Answer:

\(m = \frac{2.90 - 2.50}{20 - 0} = \frac{.40}{20} = .02\)

\(f(x) = .02x + 2.50\)

\(f(30) = .02(30) + 2.50 \)

\(f(30) = 3.10\)

In 2030, the price of oil would be $3.10.

Answer:

(4.5)(8.35)=37.58 lbs should be the answer

Step-by-step explanation:

the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

The minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is as follows:

95% confidence, within 5 percentage points, and a previous estimate of 0.25.

The formula to calculate the sample size required for the study to determine the proportion is given by:

`n = Z²pq / E²`

Where n = sample size

Z = z-value (1.96 at 95% confidence interval)

E = margin of error

p = estimated proportion of the population

q = 1 - pp

q = estimated proportion of population without the condition (1 - 0.25 = 0.75)

Given,

Z = 1.96E = 0.05p = 0.25q = 0.75

Substituting these values in the above formula, we get;

`n = (1.96)²(0.25)(0.75) / (0.05)²``n = 384.16`

Therefore, the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

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Bradon is 24 years old and Micheal is 72 years old.

Michael is 3 times as old as brandon. 18 years ago, michael was 9 times as old as brandon

Let m represent Michael

Let b represent Brandon

Then,

m = 3b                    <-----------"Michael is 3 times as old as Brandon."

m - 18 = 9(b - 18)    <-----------"18 years ago, Michael was 9 times as old as Brandon."

3b - 18 = 9b - 162

-18 = 6b - 162

144 = 6b

b = 24     <-------This is Brandon's age.

3b = m

3(24) = 72 <------This is Michael's age.

Therefore, Michael is 3 times as old as Brandon. Also, 18 years ago, Brandon would have been 6 and Michael would have been 54

Now, Bradon is 24 years old and Micheal is 72 years old.

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Answer:

maybe c?

Step-by-step explanation:

you could try

Answer:

C

Step-by-step explanation:

I did this question today, pls lmk if u get it right

Answer:

=4x2+12x+9

hope it helps you!

Step-by-step explanation:

Answer:

4x2−12x+9

Step-by-step explanation:

expand using the foil method

Simplify and combine like terms

and you get the answer

If MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

The F statistic is calculated by dividing the variance between groups (MSbetween) by the variance within groups (MSwithin). Therefore, to increase the value of the F statistic, either the numerator (MSbetween) needs to increase, or the denominator (MSwithin) needs to decrease.

So, the answer is:

a. MSwithin > MSbetween

If the variance within groups (MSwithin) is reduced or the variance between groups (MSbetween) is increased, the F statistic will increase. Therefore, if MSwithin is smaller than MSbetween, then increasing MSwithin and/or decreasing MSbetween will lead to an increase in the F statistic.

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9514 1404 393

Answer:

  -1.317

Step-by-step explanation:

  \(\log_5{15}=x+3 \qquad\text{given}\\\\ \dfrac{\log{15}}{\log{5}}=x+3 \qquad\text{change of base formula}\\\\x=\dfrac{\log{15}}{\log{5}}-3 \qquad\text{subtract 3}\\\\x\approx\dfrac{1.17609}{0.69897}-3\approx 1.683 -3\\\\ \boxed{x\approx -1.317}\)

Answer:

-1.317

Step-by-step explanation:

Edge 2020

The given statements are true or false as following:

We have given some statements about matrix and subspace and we have to check whether the statements are true or false .

1. True

The columns of U are linearly independent and thus form an orthonormal basis for Col U. So, projcolU y = UU^T*y for all y in R^n.

2. True

The statement is true because y can be written uniquely in the form y = projw y+z where y − projw y is in W and Z is in W⊥ and it follows that Z = projw y

3. True

since z is orthogonal to u1 and to u2 it is orthogonal to every vector in W = Span{u1, u2}, a set that spans W.

4. False

The uniqueness property of the orthogonal decomposition y = y^ + z indicates that, no matter the basis used to find it, it will always be the same.

5. True

For an orthogonal basis of W, B = u1, ..., uP y and projw y can be written as linear combinations of vectors in B with equal weights.

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Answer:

e = 84

Step-by-step explanation:

30 + 12 = e - 42

e = 42 +42

e = 84

If 2^x=3 the answer is 9/4 equal.

Given, 2^x = 3

We need to find 4^(-x)

Let's first write 4 in terms of 2.4 = 2 × 2

Now, we can write 4^(-x) in terms of 2 as (2 × 2)^(-x) = 2^(-x) × 2^(-x) = (2^(-x))^2

We know that 2^x = 3

Now, let's find 2^(-x) using the above expression.

2^x = 32^(-x) × 2^x = 2^(-x) × 32^(-x) = 3/2

Now, 4^(-x) can be written as (2^(-x))^2

Substituting 2^(-x) = 3/2, we get4^(-x) = (2^(-x))^2= (3/2)^2= 9/4

Hence, the answer is 9/4.

4^(-x) = 9/4

Given, 2^x = 3

We need to find 4^(-x)

Let's first write 4 in terms of 2.4 = 2 × 2

Now, we can write 4^(-x) in terms of 2 as (2 × 2)^(-x) = 2^(-x) × 2^(-x) = (2^(-x))^2

We know that 2^x = 3

Now, let's find 2^(-x) using the above expression.

2^x = 32^(-x) × 2^x = 2^(-x) × 32^(-x) = 3/2

Now, 4^(-x) can be written as (2^(-x))^2

Substituting 2^(-x) = 3/2, we get4^(-x) = (2^(-x))^2= (3/2)^2= 9/4

Hence, the answer is 9/4.

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Answer:

Mr swift will drink 24 cups of coffee in 42 days

Step-by-step explanation:

7 days is equal to 1 week and in 42 days there are 6 weeks, what i did was multiply 6 weeks by 4 cups of coffee so i could narrow down how many Mr swift would have drunken in those 42 days.

42/7 = 6 = 6 x 4 = 24

24 cups of coffee

In this particular data set, 10 is the only value that occurs more than once, so it is the only mode

The mode is the value that occurs most frequently in a data set. In the given data set {10, 30, 10, 36, 26, 22}, we can see that the value 10 occurs twice, and all other values occur only once. Therefore, the mode of the data set is 10, since it occurs more frequently than any other value in the set.

Note that a data set can have multiple modes if two or more values occur with the same highest frequency. However, in this particular data set, 10 is the only value that occurs more than once, so it is the only mode.

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Answer:

x = 32/3

Step-by-step explanation:

Step 1: Write equation

x/6 = 16/9

Step 2: Solve for x

9514 1404 393

Answer:

  \(a=\sqrt{33}\)

Step-by-step explanation:

The Pythagorean theorem tells you that the area of the square with side 'a' is the difference of the areas of the other two squares.

  a² = 7² -4²

  a² = 49 -16 = 33

  a = √33

Answer:

In October, a scarf cost the most.

We can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

To construct a symbolic model of the argument, let's define the following symbols:

P: Jayco qualifies as a small business.

Q: Jayco has sales that are not large enough to influence its environment.

R: Jayco is privately owned by a small group of individuals.

Now we can represent the statements in symbolic form:

Premise 1: P ≡ (Q • R)

Premise 2: ~P

Conclusion: ~R

To determine if the argument is valid or invalid, we can construct a truth table:

| P | Q | R | P ≡ (Q • R) | ~P | ~R |

|---|---|---|-------------|----|----|

| T | T | T |      T      |  F |  F |

| T | T | F |      F      |  F |  T |

| T | F | T |      T      |  F |  F |

| T | F | F |      F      |  F |  T |

| F | T | T |      F      |  T |  F |

| F | T | F |      T      |  T |  T |

| F | F | T |      F      |  T |  F |

| F | F | F |      T      |  T |  T |

From the truth table, we can see that there is at least one row where all premises are true (row 7), but the conclusion is false. Therefore, the argument is invalid.

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The coordinates of A' is (-12,18) which is option c so option c is correct.

Given that:

Quadrilateral math has vertices m = (1,3), A= (-4,6|), T= (-2,7), and H=(5,9). Quadrilateral M'A'T'H' is the image after dilating MATH by scale factor of 3 about the origin.

Let take x and y coordinates

scale factor = 3

(x ,y) = (3x,3y)

So A(-4,6) = A'(3*(-4),3*(6)

=A'(-12,18)

Therefore option c (-12,18) is correct.

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The height of the building is 12 feet.

Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c² = a² + b²

Given that:

Length of the ladder (hypotenuse) = 13 feet

Distance of the ladder's bottom from the house (base) = 5 feet

Let's denote the height of the house (vertical side) as 'b'.

Using the Pythagorean theorem, we have:

13² = 5² + b²

b² = 13² - 5²

b² = 169 - 25

b² = 144

Taking the square root of both sides:

b = √144

b = 12

Therefore, the value of b is 12 feets.

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Option c

Answer:

Since,

30×6=t

Therefore,

t/30=6

The data source in this case is an advertisement, which is a form of secondary data.

Secondary data is information collected by someone other than the user. In this case, the television ad is promoting a specific car brand as being "considered to be the best" and suggesting that "now is the best time to replace your car". This information is not based on a sample or experimental data, but rather on the claims made by the car brand itself in their advertisement.

The data source in this case is secondary data, specifically an advertisement. This means that the information provided should be critically evaluated and further research should be conducted to verify its accuracy and reliability.

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Answer:

y = 8x - 3

Step-by-step explanation: