Solve for n.3(n+1) = 5.4

Answer:

yes

Step-by-step explanation:

3 is inside the brackets

Answer:

Left box:  1/2n

Right box = 2n - 22

Step-by-step explanation:

Since we want one-half the number and n represents the unknown number, we have 1/2n on the left-hand side of the equation.

Thus, you want to put 1/2n in box on the left.

Twice the number and 22 less than this is given by:  y: 2n - 22 less than this means we subtract.  Thus, we have 2n - 22 as the numerator on the right hand side of the equation.

Thus, you want to put 2n - 22 in the box on the right.

(a) The estimator B = -1/X₁Σ(Y₂²) is unbiased for B.

(b) To evaluate if the estimator Σ(*) B is BLUE, more information is needed about other unbiased estimators and their variances.

(a) To determine if the estimator B = -1/X₁Σ(Y₂²) is unbiased for B, we need to calculate E[B|X].

First, let's derive the expression for E[B|X]:

E[B|X] = E[-1/X₁Σ(Y₂²)]

       = -1/X₁ΣE(Y₂²)

Since Y₂ is the dependent variable in the regression model, we can express it as:

Y₂ = B₀ + B₁X + ε

Taking the expectation of Y₂²:

E(Y₂²) = E[(B₀ + B₁X + ε)²]

       = E[B₀² + 2B₀B₁X + B₁²X² + 2B₀ε + 2B₁Xε + ε²]

       = B₀² + 2B₀B₁E(X) + B₁²E(X²) + 2B₀E(ε) + 2B₁XE(ε) + E(ε²)

       = B₀² + B₁²E(X²) + E(ε²)

Since E(X) = 0 and E(ε) = 0, the expression simplifies to:

E(Y₂²) = B₀² + B₁²E(X²) + E(ε²)

Substituting this back into the expression for E[B|X]:

E[B|X] = -1/X₁Σ(B₀² + B₁²E(X²) + E(ε²))

       = -1/X₁Σ(B₀² + B₁²E(X²) + Var(ε))

       = -1/X₁Σ(B₀² + B₁²E(X²) + σ²)  (since Var(ε) = σ²)

Now, we can determine if E[B|X] equals B to determine if the estimator B = -1/X₁Σ(Y₂²) is unbiased for B. If E[B|X] = B, then the estimator is unbiased.

(b) The proposed unbiased estimator Σ(*) B can be obtained by summing the individual estimates for B from each observation in the sample.

To determine if this estimator is BLUE (Best Linear Unbiased Estimator), we need to check if it satisfies the properties of linearity, unbiasedness, and minimum variance among all unbiased estimators.

- Linearity: The estimator Σ(*) B is linear since it is obtained by summing the individual estimates.

- Unbiasedness: The estimator is unbiased if the expected value of the estimator equals the true parameter value. We need to calculate E[Σ(*) B] and check if it equals B.

- Minimum variance: To establish minimum variance, we need to compare the variance of the estimator Σ(*) B with the variances of other unbiased estimators and determine if it has the smallest variance among them.

To know more about  estimator, refer here:

https://brainly.com/question/30870295

#SPJ4

Answer:

The FitnessGram Pacer test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter Pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal *boop*.

Step-by-step explanation:

Answer:

The Grammy Award, or just Grammy, is an award presented by the Recording Academy to recognize achievements in the music industry. The trophy depicts a gilded gramophone. The annual presentation ceremony features performances by prominent artists, and the presentation of those awards that have a more popular interest.

Answer:

3 ≤ y < 12

Step-by-step explanation:

the range is the values that y can have.

the values of y extend from the vertex at y = 3 to the open circle at 12, meaning y cannot be equal to 12

range is 3 ≤ y < 12

Range of y will be in interval :3 ≤ y < 12

Given,

Graph of function.

Range is the values that y can have.

The values of y extend from the vertex at y = 3 to the open circle at 12 .

Open circle suggests that 12 will not be included in the interval of range .

Thus,

Range is 3 ≤ y < 12

Know more about range of function,

https://brainly.com/question/17440903

#SPJ2

Answer:

3z+ 1/2 x

Step-by-step explanation:

This is an expression not an equation.

Check the picture below.

\(\cfrac{5}{4.5}=\cfrac{h}{32}\implies 160=4.5h\implies \cfrac{160}{4.5}=h\implies 35.\overline{55}=h\)

Answer:

8

Step-by-step explanation:

20/250% is 20/2.5 which is 8.

Hope this helps hit the crown :D

Answer:

Step-by-step explanation:

Answer:

or  , -2x+14x=-7+10

or,  12x=3

or  ,x=12divided 3

ans=4

Step-by-step explanation:

Answer:

x= 42

Step-by-step explanation:

x/2+9=30

x+18=60

x=60-18

x= 42

Carolyn made an error in her work because she did not correctly distribute the negative in Step 3.

A system of equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point of the intersection.

You can solve a system of equations by the adding or substitution methods. In the addition method, you eliminate a variable, on the other hand, in the substitution method you replace a variable for the other.

The question gives:3x-2y=7 (1)y=x+2The question shows that Carolyn applies the substitution method because she replaces the variable y (equation 2) in equation 1. See the given step 2.

3x – 2y = 7

3x – 2(x + 2) = 7

3x – 2x - 4 = 7 - here it is the mistake. (Carolyn did not correctly distribute the negative).

Read more about solving systems equations here:

brainly.com/question/12691830

#SPJ1

Answer:

A coordinate grid with 2 lines. The first line passes through (negative 4, negative 3), (0, negative 3), and (4, negative 3). The second line passes through (0, negative 5) and (2, 4). The lines appear to intersect at about one-half, negative 3.

Solve the system of equations algebraically. Verify your answer using the graph.

y = 4x – 5

y = –3

What is the solution to the system of equations?

((StartFraction one-fourth EndFraction, negative 3), –3)

((StartFraction one-half EndFraction, negative 3), –3)

(–3, (negative 3, StartFraction 2 over 3 EndFraction))

Step-by-step explanation:

Answer:

its a

Step-by-step explanation:

i just did it

Answer:

4

Step-by-step explanation:

all the details can be found in the attachment.

Answer:

B- 110.5

Step-by-step explanation:

slant height = 17 inches

diameter = 13 inches

If we divide 13/2 = 6.5

then we multiply it by 17

6.5*17 = 110.5 pi in.sq or in other words B

To solve this problem, we have to get the data in the question and then substitute the values into the formula and solve.

The lateral surface area of the cone is 640.874in^2.

Lateral surface area of an object is the sum of the total areas of the object.

The formula of lateral surface area of a cone is given as

\(A = 2\pi rh\)

Let's substitute the values into the equation and solve.

Using Pythagora's theorem, we can find the height of the cone

\(17^2 = 6.5^2 + h^2\\h^2 = 17^2 - 6.5^2\\h^2 = 246.75\\h = \sqrt{246.75} \\h = 15.70\)

Substituting the values into the formula, we can solve for the lateral surface area

\(A = 2\pi rh\\A = 2 * 31.14 * 6.5 8 15.70\\A = 640.874in^2\)

The lateral surface area of the cone is 640.874in^2

Learn more on lateral surface area of  cone here;

https://brainly.com/question/2750738

#SPJ2

\(Answer: \large\boxed{Cos(\theta_{1} )=\frac{84}{85}}\)

Step-by-step explanation:

Thinking about a triangle in Quadrant IV, we can imagine sin as opposite/hypotenuse. Therefore, the hypotenuse is 85 and the opposite angle is -13. To find the adjacent angle, we use the pythagorean theorum,

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

\(-13^2+b^2=85^2\)

\(169+b^2=7225\)

\(b^2=7056\)

\(b=\sqrt{7056}\)

\(b=\pm84\)

Taking only the positive number, the adjacent angle is 84

Now that we have all 3 sides, we can find the cosine.

Cosine is adjacent/hypotenuse

Therefore,

\(Cos(\theta_{1} )=\frac{84}{85}\)

See the attached picture:

Answer:

Perimeter = 6.2s + 7

Step-by-step explanation:

Perimeter = sum of the sides of a geometric figure.

In this case:

Perimeter = 9s - 1.9s - 1.9s + 7 = 6.2s + 7

Answer:

Step-by-step explanation:

The answer is 5blocks to the right and 3 blocks up thank me LATER

Answer:

19 11/16

Step-by-step explanation:

5 1/4 x 3 3/4

Area = width x length

Answer:

\( \sqrt{3 {x}^{3} } = x \sqrt{3x} \)

We note that x>0 here.

Answer:

The answer is x√3x

Step-by-step explanation:

√3x³=x√3x

Both are vertical angles (opposite)

So, they are congruent ( equal)

6a +11 = 2a+83

Solve for a:

6a -2a = 83-11

4a= 72

a= 72/4

a= 18

Value of the angles:

6a+11 = 6(18)+11 = 108+11 = 119°

2a+83 = 2(18)+83 =

a. The probability of obtaining a total of seven is 6/36, which simplifies to 1/6 or approximately 0.1667.

b. The probability of obtaining identical results is 6/36, which simplifies to 1/6 or approximately 0.1667.

c. The probability of obtaining a product of six is 4/36, which simplifies to 1/9 or approximately 0.1111.

a. To find the probability of obtaining a total of seven when two dice are thrown, we need to determine the number of favorable outcomes and the total number of possible outcomes.

When two dice are thrown, the possible outcomes can be represented as pairs of numbers ranging from (1, 1) to (6, 6).

Favorable outcomes for a total of seven are: (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). There are six favorable outcomes.

The total number of possible outcomes is given by the product of the number of outcomes for each die, which is 6 * 6 = 36.

Therefore, the probability of obtaining a total of seven is 6/36, which simplifies to 1/6 or approximately 0.1667.

b. To find the probability of obtaining identical results when two dice are thrown, we need to determine the number of favorable outcomes.

Favorable outcomes for identical results are: (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), and (6, 6). There are six favorable outcomes.

The total number of possible outcomes is still 36.

Therefore, the probability of obtaining identical results is 6/36, which simplifies to 1/6 or approximately 0.1667.

c. To find the probability of obtaining a product of six when two dice are thrown, we need to determine the number of favorable outcomes.

Favorable outcomes for a product of six are: (1, 6), (2, 3), (3, 2), and (6, 1). There are four favorable outcomes.

The total number of possible outcomes is still 36.

Therefore, the probability of obtaining a product of six is 4/36, which simplifies to 1/9 or approximately 0.1111.

for such more question on probability

https://brainly.com/question/13604758

#SPJ8

Answer:

See explanation

Step-by-step explanation:

x     f(x)

-2    -5.9375

-1     -5.75

0      -5

1       -2

2      10

x intercept : -5

y intercept : -6

5 types of cubical are: dedicated, Private office, L-shaped, circular, High walled cubicles

Know more about Cubicles at:

https://brainly.com/question/23644987

#SPJ4

Jackson will have 112 cards in his collection after 7 years. The Option D is correct.

The difference between the number of cards in year 2 and year 3 is:

= 48 - 32

= 16

Note: Its covers a span of 3 - 2 = 1 year. Therefore, the average number of cards added per year between years 2 and 3 is 16/1 = 16.

Now we can estimate the number of cards Jackson will have in year 7 by stating the following formula:

= Number of cards in year 5 + (Average number of cards added per year) x (Number of years from year 5 to year 7)

= 80 + 16 x (7 - 5)

= 80 + 32

= 112 cards

Read more about cards

brainly.com/question/28714039

#SPJ1

A) The probability that ten employees must be tested in order to find three positives is 0.0645

B) Expected vale is 150 and variance is 4500

Given,

40% of employees have positive indications of asbestos in their lungs .

A)

The probability of getting an employee with positive indication is 0.40.

The probability that ten employees must be tested to find three positives is:

=    \((x-1\\k-1) * p^{k} q^{x-k}\)

=  \((10-1\\3-1) 0.4^{3} * (0.6)^{10-3}\)

= 0.0645

B)

The expected value of the total cost of conducting the tests is:

E(20 * X)  = 20 *E(X)

= 20* k/p

= 20 * 3/0.4

= 150

The variance of the total cost of conducting the tests is:

V(20*X) = 20² × V(X)

= 400 kq/p²

= 400 × 3 ×0.6/0.4²

= 4500

Know more about variance,

https://brainly.com/question/10687815

#SPJ4

We have defined the criteria for SAS congruency of triangles.

What is SAS?

The SAS theorem states that "Triangles are congruent if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle."

According to the SAS criteria for triangle similarity, two sides of one triangle are similar to two sides of another triangle if their included angles are congruent.

Hence, we have defined the criteria for SAS congruency of triangles.

To learn more about the SAS congruency of triangles, visit:

brainly.com/question/13408604

#SPJ4

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

To know more about  critical value Visit:

https://brainly.com/question/32607910

#SPJ11

The mathematical expressions to determine the product or quotient in scientific notation are matched below;

\((3.8 \times 10^3 )\: \times (9.4 × 10^-5)\) \( = 3.6 \times {10}^{ - 1} \)

\((4.2 \times 10^7) \times (7.4 \times 10^-2) \) \( = 3.1 \times {10}^{6} \)

\( \frac{(8.6 \times 10^-6) \times (7.1 \times 10^ - 9)}{(4.1 \times 10^ -2) \times ( 2.8 \times 10 ^-7)} \) \( = 5.3 \times {10}^{ - 6} \)

\( \frac{(6.9 \times {10}^{ - 4}) \times (7.7 \times {10}^{ - 6}) }{(2.7 \times {10}^{ - 2}) \times (4.7 \times {10}^{ - 7} ) } \) \( = 4.2 \times {10}^{ - 1} \)

1.

\((3.8 \times 10^3 )\: \times (9.4 × 10^-5)\)

multiply the base and add the powers

\( = (3.8 \times 9.4) \times {10}^{3 + ( - 5)} \)

\( = 35.72 \times {10}^{ - 2} \)

\( = 3.6 \times {10}^{ - 1} \)

2.

\((4.2 \times 10^7) \times (7.4 \times 10^-2) \)

multiply the base and add the powers

\( = (4.2 \times 7.4) \times {10}^{7 + ( - 2)} \)

\( = 31.08 \times {10}^{5} \)

\( = 3.1 \times {10}^{6} \)

3.

\( \frac{(8.6 \times 10^-6) \times (7.1 \times 10^ - 9)}{(4.1 \times 10^ -2) \times ( 2.8 \times 10 ^-7)} \)

solve the numerator and denominator separately

\( = \frac{(8.6 \times7.1) \times {10}^{ - 6 - 9} }{(4.1 \times 2.8) \times {10}^{ - 2 - 7} } \)

\( = \frac{61.06 \times {10}^{ - 15} }{11.48 \times {10}^{ - 9} } \)

\( = (61.06 \div 11.48) \times {10}^{ - 15 + 9} \)

\( = 5.3 \times {10}^{ - 6} \)

4.

\( \frac{(6.9 \times {10}^{ - 4}) \times (7.7 \times {10}^{ - 6}) }{(2.7 \times {10}^{ - 2}) \times (4.7 \times {10}^{ - 7} ) } \)

\( = \frac{(6.9 \times 7.7) \times {10}^{ - 4 - 6} }{(2.7 \times 4.7) \times {10}^{ - 2 - 7} } \)

\( = \frac{53.13 \times {10}^{ - 10} }{12.69 \times {10}^{ - 9} } \)

\( = (53.13 \div 12.69) \times {10 }^{ - 10 + 9} \)

\( = 4.2 \times {10}^{ - 1} \)

Read more on exponents:

https://brainly.com/question/11975096

#SPJ1

The unit price that is going to be needed for the 31 minute ride would be 21.4 dollars.

We have the fare for 81 minutes to be $56. 70

Then we are to find the amount that would be needed for 31 minutes.

In order to get this value we would have to cross multiply

such that we would have

81 minutes = $56.70

31 minutes = ?

then 56 * 31 = 1736

1736 / 81

= 21.4 dollars.

Hence we would conclude that the unit price that is going to be needed for the 31 minute ride would be 21.4 dollars.

Read more on unit price here:

https://brainly.com/question/17784388

#SPJ1