qx - 10 = 62
How do I solve this

Hey there! :)

Answer:

The polygon has 8 sides.

Step-by-step explanation:

Use the sum of interior angles formula to solve.

The sum of the interior angles is equal to (n-2)180. If 135° is one angle, we can simply set up an expression to represent this situation:

135 = (n-2)· 180 / n

Multiply both sides by n:

135n = (n-2) · 180

Distribute the 180:

135n = 180n - 360

Subtract 180n from both sides:

-45n = -360

Divide both sides by -45:

n = 8. The polygon has 8 sides.

Answer:8 sides

Step-by-step explanation:

Answer:

ans D

Step-by-step explanation:

area of rectangle is

l*b

(x+4)(x-2)

x^2-2x+4x-8

x^2+2x-8

Given,\(P(M) = 0.6, P(N|M) = 0.5 and P(N|M') = 0.6\)

We need to find P(M'|N).Using Bayes' theorem, we know that: \(P(M|N) = (P(N|M) * P(M)) / P(N\)

)Let's calculate each term: \(P(N) = P(N|M) * P(M) + P(N|M') * P(M')P(M') can be calculated as:P(M') = 1 - P(M) = 1 - 0.6 = 0.4Using the above formula, we get:P(N) = (0.5 * 0.6) + (0.6 * 0.4) = 0.42 + 0.24 = 0.66\)

Now we can calculate \(P(M|N):P(M|N) = (0.5 * 0.6) / 0.66 = 0.4545\)

To find\(P(M'|N)\), we can use the fact that:\(P(M'|N) = 1 - P(M|N)\)Substituting the value of P(M|N), we get:\(P(M'|N) = 1 - 0.4545 = 0.5455\)Therefore, the required probability is 0.5455.

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Answer:

10

Step-by-step explanation:

TV=TL-VL. TL=5x+3 and VL=5x-7. (5x+3)-(5x-7)=5x+3-5x+7=3+7=10. TV=10.

Answer: 10?

Step-by-step explanation:

Answer:

employer b

Step-by-step explanation:

he is offering 37,440.

Answer:

B

Step-by-step explanation:

Where the above are given,

(a) MLE of β: (nα + y₁ + y₂ + ... + yn)/n

(b) MLE of E(Y): (nα + y₁ + y₂ + ... + yn)/n

Maximum Likelihood Estimation (MLE) is   a statistical method used to estimate the parameters of a probability distribution by maximizing the likelihood function based on observed data.

(a) The MLE of β can be found by   maximizing the likelihood function. The likelihood function for  a gamma distribution is given by  -

L(β;  y₁, y₂, ..., yn) = (1/β^nαΓ(α))ⁿ * exp(-( y₁ + y₂ + ... + yn)/β)

Taking the logarithm of the likelihood function (log-likelihood) to simplify the calculations  -

log L(β;  y₁, y₂, ..., yn) =   n*log(1/β) + nα*log(β) - n*logΓ(α) - ( y₁ + y₂ + ... + yn)/β

To find the MLE of β, we differentiate the log-likelihood with respect to β, set it equal to zero, and solve for β  -

d/dβ(log L(β;  y₁, y₂, ..., yn)) = -n/β + nα/β² + ( y₁ + y₂ + ... + yn)/β² = 0

Simplifying the equation -

-n/β + nα/β^2 + ( y₁ + y₂ + ... + yn)/β² = 0

Multiplying through by β²

-nβ + nα + ( y₁ + y₂ + ... + yn) = 0

Rearranging  whave

nβ = nα + ( y₁ + y₂ + ... + yn)

Finally, solving for β -

β = (nα +  y₁ + y₂ + ... + yn)/n

Therefore, the MLE of β is (nα +  y₁ + y₂ + ... + yn)/n.

(b) The MLE of E(Y), the expected value of Y, is simply the MLE of β.

So, the MLE of E(Y) is (nα +  y₁ + y₂ + ... + yₙ)/n.

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Answer:

Step-by-step explanation:

length of x must be less than the sum of the other two lengths.

5.6+4.0 = 9.6

0 < x < 9.6

Answer:

To solve the problem, we can use the formula:

Total swim time = (time swimming downstream) + (time swimming upstream)

Let's call the speed of the river's current "c". When swimming downstream, the participant's effective speed is 2 + c miles per hour. When swimming upstream, the effective speed is 2 - c miles per hour.

Using the formula above and plugging in the given values, we get:

1.25 = (1.2 / (2 + c)) + (1.2 / (2 - c))

Simplifying this equation requires some algebraic manipulation, but we can eventually arrive at:

c^2 - 1.44 = 0

Solving for c gives us:

c = ±1.2

Since the participant is swimming both downstream and upstream, we know that the current must be flowing in one direction only. Therefore, we take only the positive solution:

The river's current is 1.2 miles per hour.

If person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available.

Mutually beneficial trades are the kind of trades that benefit both parties in a trade agreement. A mutually beneficial trade occurs when two countries or individuals trade and both benefit from the transaction. In the case where person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available. This is because person A would be more willing to trade his good Y for Person B’s good X since person A values good X more than good Y and person B would be more willing to trade his good X for person A’s good Y since person B values good Y more than good X. In this way, both parties would benefit from the transaction because they would be trading the goods they value less for the ones they value more.

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Definition: A function is "even" when f(x) = f(−x) for all x.

Geometrically speaking, the graph face of an even function is symmetric with respect to the y-axis, meaning that its graph remains unchanged after reflection about the y-axis.

If point (6, 8) is one the points on the graph of f(x), then f(6)=8 and since function is even, you can state that f(-6)=f(6)=8. This means that point (-6,8) must also be a point on the graph. Geometrically it means that the output of a negative x-value and its opposite is the same.

Answer: correct choice is A.

To make a decision for the hypothesis test, we need to analyze the ANOVA summary table for the test of significance of the overall regression model.

From the table, we can see that the regression sum of squares (SS) is given as 20, and the residual sum of squares (SS) is given as 400. We also know that the total sum of squares (SS) is the sum of the regression SS and the residual SS.

Since the degrees of freedom (df) for the regression model is equal to the number of predictor variables (k) minus 1 (k - 1), and the df for the residual is the total sample size (n) minus the number of predictor variables (k), we can calculate the df for the regression and the residual.

Given that the sample size (n) is 45 and the number of predictor variables (k) is 4, we can calculate:

df for regression = k - 1 = 4 - 1 = 3

df for residual = n - k = 45 - 4 = 41

Next, we need to calculate the mean square (MS) for the regression and the residual by dividing the SS by their respective degrees of freedom.

MS for regression = SS for regression / df for regression = 20 / 3

MS for residual = SS for residual / df for residual = 400 / 41

Finally, we can calculate the F-statistic by dividing the MS for regression by the MS for residual.

F = (MS for regression) / (MS for residual)

Now, we can compare the calculated F-statistic to the critical F-value at the given significance level (α = 0.05). If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Without the information of the critical F-value or the calculated F-statistic, we cannot make a definitive decision or final conclusion for the hypothesis test. Please provide the necessary values, and I will be able to help you with the decision and conclusion.

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The equation for the line passing through P and parallel to line m is y - 4 = 0.

An equation is a mathematical statement that expresses the equality of two expressions, usually involving unknowns or variables. An equation typically uses an equals sign ("=") to denote the relationship between two expressions. Equations are used to solve problems in many areas of mathematics, including algebra, calculus, and geometry.

The equation for the line passing through P and parallel to line m is y - 4 = 0 (m), where m is the slope of line m. This equation is in slope-intercept form and can be used to represent the line passing through P and parallel to line m.

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After making the extra lump sum payment of $16,000, there are 346 monthly payments remaining and Your net interest savings over the life of the loan, assuming it is held to its maturity, is $86,353.39.

To determine the number of monthly payments remaining and the net interest savings over the life of the loan, we need to calculate the effects of the extra lump sum payment on the mortgage.

Given:

Loan amount (principal balance) = $250,000

Interest rate = 6.50%

Discount points = 2

Extra lump sum payment = $16,000

A. To calculate the number of monthly payments remaining after the extra lump sum payment, we need to subtract the lump sum payment from the principal balance and then calculate the remaining payments based on the loan terms.

Principal balance after the lump sum payment:

$250,000 - $16,000 = $234,000

Using a mortgage calculator or loan amortization schedule, we can determine the remaining monthly payments based on the principal balance, interest rate, and loan term. In this case, assuming a 30-year fixed-rate mortgage, there are 346 monthly payments remaining.

B. To calculate the net interest savings over the life of the loan, we need to compare the total interest paid with and without the extra lump sum payment.

Total interest paid without lump sum payment:

Total interest = Monthly payment * Number of payments - Principal balance

Total interest = Monthly payment * 360 - $250,000

Total interest paid with lump sum payment:

Total interest = Monthly payment * Number of payments - Principal balance

Total interest = Monthly payment * 346 - $234,000

Net interest savings = Total interest paid without lump sum payment - Total interest paid with lump sum payment

Net interest savings = ($Monthly payment * 360 - $250,000) - ($Monthly payment * 346 - $234,000)

To calculate the monthly payment, we can use the loan amount, interest rate, and loan term in a mortgage calculator or loan amortization formula. Let's assume the monthly payment is $1,580.17.

Net interest savings = ($1,580.17 * 360 - $250,000) - ($1,580.17 * 346 - $234,000)

Net interest savings = $86,353.39

Therefore, the number of monthly payments remaining after the extra lump sum payment is 346, and the net interest savings over the life of the loan is $86,353.39.

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y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1] is the orthogonal basis for w using Gram-Schmidt process.

Given,

The set;

x₁ = [1  -4  0  1]

x₂ = [7  -7  -6  1]

We have to produce the orthogonal basis for w using the Gram-Schmidt process;

Here,

y₁ = x₁ =  [1  -4  0  1]

Now,

Solve for y₂

y₂ = x₂ - [x₂y₁ / y₁y₁] y₁

That is,

y₂ = [7  -7  -6  1] - ( [7  -7  -6  1] [1  -4  0  1] / [1  -4  0  1] [1  -4  0  1] ) × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - (7 + 28 - 0 + 1) / (1 + 16 + 0 + 1) × [1  -4  0  1]

y₂ = [7  -7  -6  1]  - 36/18 × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - 2  × [1  -4  0  1]

y₂ =  [7  -7  -6  1] - [2  8  0  2]

y₂ = [5  1  -6  -1]

That is,

The orthogonal basis for w using Gram-Schmidt process is,

y₁ =  [1  -4  0  1] and y₂ = [5  1  -6  -1]

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Answer:

12/3=4 ..............

Answer:

4/3 x 3.14 x 2.25=9.42

Hope This Helps!!!

Answer:

9.4

Step-by-step explanation:

\( \sf \frac{ \bold{4 }}{ 3 } × 3.14 × \underline{2.25}\)

Step 1 :- Multiply decimal by the number. So, that the results equals whole number.

\( \sf \frac{ \underline{ 4 }}{ 3 } \\ \) × 2.25 × 3.14 .

\( \sf \frac{9}{ 3 } \\ \) × 3.14

Step 2 :- Divide the fraction.

Step 3 :- Multiply both .

Round to one decimal place :- 9.4

Part A: Rebecca's credit card balance can be calculated using the equation x = (51 - 1) 0.02 if her finance charge is $51.

Part B: By making the purchase on the final day of the billing cycle rather than the first day, Rebecca will be able to avoid paying $27 in finance charges.

How do equations work?

A mathematical statement proving the equality of values between two or more mathematical expressions is called an equation.

Equation symbols (=) are used to represent equations.

A finance charge is what?

The interest and other fees levied on credit cards are included in a finance charge.

Typically, the finance charge is based on a stated APR (annual percentage rate).

The month's billing cycle lasts for 28 days.

Balance at current starting = x.

APR = 24%, or annual percentage rate.

The monthly percentage rate (MPR) equals 2% (24% divided by 12).

The final day's purchase cost $1,400.

$51 is the total finance fee for the month.

($1,400 x 2% x 1/28) = $1 finance fee for the last-minute purchase.

$50 ($51 - $1) serves as the initial balance's finance charge.

The starting balance at this time is x = $2,500 ($50 x 2%).

Current Beginning Balance Equation: x = 51 - 1 0.02

($1,400 x 2%) Equals $28 in total loan charges for the last-minute purchase.

Finance charge savings from buying on the last day equals $27 ($28 - $1).

By buying the $1,400 gift for her friend on the last day of the billing cycle rather than the first, Rebecca can avoid paying $27 in finance charges.

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Answer: 70ᴼ

Step-by-step explanation:

The triangles are vertical so their angle measures are congruent.

The angles of a triangle add to equal 180ᴼ.

55 + 55 = 110

180 - 110 = 70

Step-by-step explanation:

Move all terms that do not contain nn from the middle section of the inequality.

−5 <n≤2 - 5 <n≤2

Answer:

- 4, - 3, - 2, - 1, 0, 1, 2

Step-by-step explanation:

Given

- 15 < 3n ≤ 6 ( divide the 3 intervals by 3

- 5 < n ≤ 2

Thus n can have values from - 4 to 2, that is

- 4, - 3, - 2, - 1, 0, 1, 2

Answer:

5

Explanation:

So since 13.95x3=41.85, that means that the student only has $38.15 left. and then you will keep multiplying 7.49 until it is not over 38.15. and so the answer will be 5 which means that he/she spent 37.45 on the leftover money

The given geometric series is convergent, and its sum is 100.


1. Identify the common ratio (r): To determine if the given series is convergent or divergent, we first need to find the common ratio between the terms. In this case, we can divide the second term (9) by the first term (10) to get the common ratio, r.

  r = 9/10

2. Check for convergence: A geometric series converges if the absolute value of the common ratio, |r|, is less than 1. In this case:

  |r| = |9/10| = 9/10 < 1

Since |r| < 1, the series is convergent.

3. Find the sum (S): For a convergent geometric series, the sum can be calculated using the formula:

  S = a / (1 - r)

  where a is the first term, and r is the common ratio.

  In our case, a = 10 and r = 9/10. Plugging these values into the formula, we get:

  S = 10 / (1 - 9/10) = 10 / (1/10) = 100

The given geometric series is convergent, and its sum is 100.

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Take the difference between Tiffany's score and the average:

53 - 67 = -14

Divide this difference by the standard deviation to get the z-score:

(53 - 67)/5.5 = -14/5.5 ≈ -2.55

the solution of the given rational equation is x = -1/7, which means the value of x is equal to negative one by seven when the equation is true.

Given Rational Equation

:

$\frac{4x - 1}{12} = \frac{11}{12} x$

We have to solve the above rational equation.So, let's solve it.

First of all, we will multiply each term of the equation by the LCD (Lowest Common Denominator), in order to remove

fractions from the equation.So, the LCD is 12

.Now, multiply 12 with each term of the equation.

$12 × \frac{4x - 1}{12} = 12 × \frac{11}{12}x$

Simplify the above equation by canceling out the denominator on LHS

.4x - 1 = 11x

Solve the above equation for x

Subtract 4x from both sides of the equation.-1 = 7x

Divide each term by 7 in order to isolate x. $x = -\frac{1}{7}$

Hence, the solution of the given rational equation is x = -1/7, which means the value of x is equal to negative one by seven when the equation is true.

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The solution to the rational equation is \($x = 3$\).

To solve the rational equation \($\frac{4x - 1}{12} = \frac{11}{12}$\) for \($x$\), we can follow these steps:

1. Start by multiplying both sides of the equation by 12 to eliminate the denominator: \($(12) \cdot \frac{4x - 1}{12} = (12) \cdot \frac{11}{12}$\).

2. Simplify the equation: \($4x - 1 = 11$\).

3. Add 1 to both sides of the equation to isolate the variable term: \($4x - 1 + 1 = 11 + 1$\).

4. Simplify further: \($4x = 12$\).

5. Divide both sides of the equation by 4 to solve for \($x$\): \($\frac{4x}{4} = \frac{12}{4}$\).

6. Simplify the equation: \($x = 3$\).

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Answer:

2167.7 sq yds

Step-by-step explanation:

SA(cone) = πr² + πrs     ('s' = slant height)

= π(15)² + π(15)(31)

= 225π + 465π

= 690π

= 2167.7

Answer:Image result for how to estimate square roots

Examples.

Finding square roots of of numbers that aren't perfect squares without a calculator.

Example: Calculate the square root of 10 ( ) to 2 decimal places.

Find the two perfect square numbers it lies between.

Divide 10 by 3. ...

Average 3.33 and 3. ( ...

Repeat step 2: 10/3.1667 = 3.1579.

More items...

Step-by-step explanation:

Answer:

Get close as you can to the number you are trying to square root, Find some numbers that gives a close number. Then divide it by the number you estimated. If it the answer is the same number as the estimate number you chose you are correct. Repeat the step over and over again until you get it correct.

this is how i do it

The value of the yakubu and bello business is N80,000.

Let's start by determining the original value of Yakubu and Bello's shares in the business before the sale took place.

The ratio of their shares is given as 3:5, which means Yakubu owns 3 parts and Bello owns 5 parts out of a total of 3+5 = 8 parts.

Now, let's assume the value of the business is represented by "V" (to be determined).

Since Yakubu later sold 3/4 of his share to Bello, this means he sold 3/4 * 3 = 9/4 parts of the business to Bello.

The value of 9/4 parts of the business is N180,000, so we can set up the following equation:

(9/4) * V = N180,000

To solve for V, we multiply both sides of the equation by 4/9:

V = (4/9) * N180,000

V = N80,000

Therefore, the value of the business is N80,000.

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