There are 10 questions in a quiz. Using the reference image, find how many questions must be answered correctly to earn at least 14 points.

Ten balls in five lines Puzzle – Solution The puzzle Place 10 balls in 5 rows in such a way that each row contains exactly 4 balls below figures are:

A puzzle is a sport, trouble, or toy that examines a person's ingenuity or understanding. In a puzzle, the solver is anticipated to position pieces together (or take them aside) in a logical manner, so that you can arrive at the appropriate or a laugh solution to the puzzle. There are special genres of puzzles, which include crossword puzzles, phrase-search puzzles, variety puzzles, relational puzzles, and good judgment puzzles. the academic take look at puzzles is referred to as enigmatology.

Puzzles are often created to be a form of leisure however they can also get up from critical mathematical or logical problems. In such cases, their solution can be a substantial contribution to mathematical research. Puzzles expand memory competencies, as well as the capability to devise, check ideas and solve troubles. even as completing a puzzle, children want to recollect shapes, colors, positions, and techniques to complete them.

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Answer:

(3,4)

Step-by-step explanation:

Answer:

4,3

Step-by-step explanation:

in a regression with 7 predictors and 62 observations,The degrees of freedom for a t-test for each coefficient would use 55 degrees of freedom (df = 62 - 7 = 55).

The degrees of freedom for a t-test for each coefficient is calculated by subtracting the number of predictors (7) from the number of observations (62) in a regression with 7 predictors and 62 observations,. This leaves us with 55 degrees of freedom (df = 62 - 7 = 55). Degrees of freedom measure the number of observations that are free to vary in estimating a parameter. In other words, they are the number of observations that are used to generate the estimate. In this case, there are 55 observations that can be used to estimate each coefficient.

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The probability of correctly guessing 16 or more tosses is 0.05155.

Here typically tossing of the coin should follow a binomial distribution where,

n = no. of tosses = 24

p = probability of predicting an outcome correctly of each toss = 0.5

Since we are using the normal approximation method, we will calculate the mean and standard deviation of the normal curve by

Mean = μ = np = 12

Standard deviation = σ = √np(1-p) = √6

Let X be the normal distribution

Hence, X ~ N(12,6)

Now we need to find P(X≥16)

= 1 - P(X < 16)

Now to find P(X < 16) we will first standardize the normal curve by the formula

Z = (X - μ)/σ

P(X<16) = Φ(4/√6)

= Φ(1.63299)

Looking up the value we will get

= 0.94845

Hence P(X≥16) = 1 - 0.94845

= 0.05155

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Answer:

B.x= -4 and E. x= 10 are the answers

Answer:

an Altitude

Step-by-step explanation:

Its altitude indicated by point A to line BC

Answer:

Im pretty sure that would be an altitude

Step-by-step explanation:

Answer:

 The answer is 8

Step-by-step explanation:

Hope it helps :)

Answer:B

Step-by-step explanation:

I TOOK THE UNIT TEST ON EDGE 2021 HAVVE A GOODDAY

Answer: 30 fish

Step-by-step explanation:

A tank measuring 5 feet by 3 feet by 3 feet has a volume of 5*3*3 =45 cubic feet.

If there are 45 cubic feet of water in this tank, and each fish requires 1.5 cubic feet of water, the number of fish that can fit in the tank is 45/1.5 = 30.

Answer:

20.8

Step-by-step explanation:

tan = opposite/ adjacent

opposite = tan * adjacent

opposite = 1,482561 * 14 = 20,755854

Answer:

20.8 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 56 = x/ 14

14 tan 56 =x

20.75585356 =x

To the nearest tenth

20.8 =x

Answer:

10m-5t

Step-by-step explanation:

3(4m-3t) - 2(m-2t)

(12m - 9t) + (-2m+4t)

12m-2m - 9t+4t

10m-5t

Answer:

Step-by-step explanation:

3(4m - 3t) = 12m - 9t    

-2(m - 2t) = -2m + 4t

Write the 2 terms together.

12m - 9t -2m + 4x

12m - 2m - 9t + 4t

10m - 5t

The mean age of customers is 27.35 years.

It is well known that age has a normal distribution with a 5-year standard deviation. Additionally, 30% of the time, customers are under the age of 30.

Mathematically,

P (age ≤ 30) = 0.70

Let μ be the mean age of the customer.

P [z ≤ (30 - μ) / σ] = 0.70

The equivalent of "age" in a conventional normal distribution is the z-score or z. It is evident from the usual normal distribution table that when z=0.53, 0.70 probability is reached.

Thus,

z = (30 - μ) / σ

⇒ 0.53 = (30 - μ) / 5

⇒ μ = 27.35

As a result, the average consumer is 27.35 years old.

The probability at each z-score in a standard normal table is represented by the associated z-score. We will look for the number 0.70 in the table, then the row value of 0.5 and the associated column value of 0.03 will be examined. They add up to 0.53 when combined.

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the distance between the two planes is |x - 19|. Since we don't have any information about the value of x, we cannot compute the exact distance. We can only give the answer in terms of |x - 19|, rounded to three decimal places.

To verify that the two planes are parallel, we need to check if their normal vectors are parallel. The normal vector of the first plane is <2, 0, 0> and the normal vector of the second plane is <2, 0, -4>. We can see that these vectors are parallel because they have the same direction but different magnitudes. Therefore, the two planes are parallel.

To find the distance between the planes, we can use the formula:

distance = |ax + by + cz + d| / √(a² + b² + c²)

where a, b, and c are the coefficients of the variables x, y, and z in the equation of one of the planes, and d is the constant term.

Let's use the first plane: 2x - 42 = 4

We can rewrite this as 2x - 38 = 0, which means that a = 2, b = 0, c = 0, and d = -38.

Substituting these values into the formula, we get:

distance = |2x + 0y + 0z - 38| / √(2² + 0² + 0²)
distance = |2x - 38| / 2
distance = |x - 19|

Therefore, the distance between the two planes is |x - 19|. Since we don't have any information about the value of x, we cannot compute the exact distance. We can only give the answer in terms of |x - 19|, rounded to three decimal places.

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Answer:

y = -6 + 2x/3 = 2x/3 -6

where

2/3 is the slope and -6 is the intercept

Step-by-step explanation:

4x-6y = 36

Simplify

2x - 3y = 18

put y on the LHS

-3y = 18 - 2x

divide by -3

y = -6 + 2x/3 = 2x/3 -6

where

2/3 is the slope and -6 is the intercept

Answer: -3/10

Step-by-step explanation: Multiply 3/5 in -2 3/5 by 2/2. So, that would equal -2 6/10. -2 6/10 - -2 3/10 = -3/10.

Answer:

$160 was initially in

Step-by-step explanation:

for relation to be proportional it should start from zero

and here initial amount is $160

so the answer is $160 was initially in

Answer:

the sides = 6 * 10 * 2 = 120 sq meters

front & rear triangle = .5 * 8 * 5 * 2 = 40 sq meters

total fabric needed = 160 square meters

that is NOT one of your answers but I think you may not have typed it correctly.  

Step-by-step explanation:

The consecutive even integers are 8, 10 and 12.

Let the integers be x, x + 2, and x + 4.

Therefore, the equation will be:

6(x) = x + 2 + x + 4 + 26

6x = 2x + 32

Collect like term

6x - 2x = 32

4x = 32

Divide

x = 32/4.

x = 8

The numbers are 8, 10 and 12.

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The patient can consume approximately 2 cans of 12 oz Coca Cola without exceeding the advised sugar limit.

To determine the number of 12 oz cans of Coca Cola the patient can consume, we need to convert the sugar limit provided by the doctor into grams and then calculate the amount of sugar in a 12 oz can of Coca Cola.

Provided:

Sugar limit: 8.5 × 10^(-2) kg

Coca Cola sugar content: 110 g/L

Volume of a 12 oz can: 12 oz (which is approximately 355 mL)

First, let's convert the sugar limit from kilograms to grams:

Sugar limit = 8.5 × 10^(-2) kg = 8.5 × 10^(-2) kg × 1000 g/kg = 85 g

Next, we need to calculate the amount of sugar in a 12 oz can of Coca Cola:

Volume of a 12 oz can = 355 mL = 355/1000 L = 0.355 L

Amount of sugar in a 12 oz can of Coca Cola = 110 g/L × 0.355 L = 39.05 g

Now, we can determine the number of cans the patient can consume by dividing the sugar limit by the amount of sugar in a can:

Number of cans = Sugar limit / Amount of sugar in a can

Number of cans = 85 g / 39.05 g ≈ 2.18

Since the number of cans cannot be fractional, the patient should limit their consumption to 2 cans of Coca Cola.

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Answer:

\( 88 \: {in}^{2} \)

Step-by-step explanation:

Area of the figure = Area of rectangle with dimensions 16 in and 4 in + Area of two right triangles with base (7 - 4 = 3) 3 in and height 8 in

\( = 16 \times 4 + 2 \times \frac{1}{2} \times 3 \times 8 \\ \\ = 64 + 24 \\ \\ = 88 \: {in}^{2} \)

For computer company hired interns from a group of 234 applicants.

a) Probability that intern had a computer science major and did not get hired is \( \frac{112}{234} \)

b) Probability that interns had a major other than computer science is \( \frac{38}{234} \)

c) Probability that interns had a computer science and get hired = \( \frac{58}{234} \).

4) probability that an intern with a major other than computer science was not hired is \( \frac{38}{234}\).

Probability is defined as the chance of occurrence of an event. It is calculated by the ratio of favourable outcomes to the total possible outcomes. We have a table data of computer company that hired interns. Total number of applicants = 234

the table shows data of the numbers of applicants who were or were not computer science majors, and the numbers of applicants who were or were not hired. Number of outcomes for an intern had a computer science major and did not get hired = 112

1) Probability that intern had a computer science major and did not get hired = \( \frac{112}{234} \).

2) Number of interns had a major other than computer science = 38

Probability that interns had a major other than computer science = \( \frac{38}{234} \).

3) Number of interns had a computer science major and hired = 58

Probability that interns had a computer science and get hired = \( \frac{58}{234} \).

4) Number of interns had a major other than computer science was not hired

= 38

Probability that an intern with a major other than computer science was not hired = \( \frac{38}{234} \). Hence, required value is \( \frac{38}{234} \).

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Complete question:

a computer company hired interns from a group of 234 applicants. the table shows the numbers of applicants who were or were not computer science majors, and the numbers of applicants who were or were not hired. match the probabilites with the description. column a 1. what is the probability that the intern had a computer science major and did not get hired.

2. what is the probability that the intern had a major other than computer science?

3. what is the probability that a computer science major was hired?

4. what is the probability that an intern with a major other than computer science was not hired

column b a.conditional - 36.2% b.conditional - 48.6% c.joint - 43.6% d.joint - 51.2% e.marginal - 68.3% f.marginal - 31.6%.

Check the picture below.

The center of the sphere is (1, 2, -4), and its radius is 6 units.

A sphere is a three-dimensional geometric shape that is perfectly symmetrical, resembling a ball or a round object. It is defined as the set of all points in three-dimensional space that are equidistant from a fixed center point.

A sphere is characterized by its center, which represents the point from which all points on the sphere are equidistant, and its radius, which is the distance from the center to any point on the sphere's surface.

To determine if the equation represents a sphere, we need to rewrite it in a standard form: (x - a)²  + (y - b)²  + (z - c)²  = r^2, where (a, b, c) represents the center of the sphere and r represents its radius.

Let's analyze the given equation: x²  y²  z²  - 2x - 4y + 8z = 15

We can complete the square for each variable to put it in the standard form:

x²  - 2x + y²  - 4y + z²  + 8z = 15

(x²  - 2x + 1) + (y²  - 4y + 4) + (z²  + 8z + 16) = 15 + 1 + 4 + 16

(x - 1)²  + (y - 2)²  + (z + 4)² = 36

Now we can see that the equation represents a sphere with center (1, 2, -4) and radius r = sqrt(36) = 6. Therefore, the center of the sphere is (1, 2, -4), and its radius is 6 units.

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Answer: 1/3, 1, 127/100, 1.4

Hope this helps

Answer:

Therefore, the book value of the equipment at the end of year four (including year four) is $2,880.

Step-by-step explanation:

To calculate the book value of the equipment at the end of year four using the MACRS method with GDS recovery period of five years, we can use the following steps in Excel:

1. Open a new Excel spreadsheet and create the following headers in row 1: Year, Cost, Depreciation Rate, Annual Depreciation, Cumulative Depreciation, and Book Value.

2. Fill in the Year column with the years 1 through 6 (since the truck has a life of six years).

3. Enter the cost of the truck, $12,000, in cell B2.

4. Use the following formula in cell C2 to calculate the depreciation rate for each year:

=MACRS.VDB(B2, 5, 5, 1, C1)

This formula uses the MACRS.VDB function to calculate the depreciation rate for each year based on the cost of the truck (B2), the GDS recovery period of five years, the useful life of six years, the salvage value of $2,000, and the year (C1).

5. Copy the formula in cell C2 and paste it into cells C3 through C7 to calculate the depreciation rate for each year.

6. Use the following formula in cell D2 to calculate the annual depreciation for each year:

=B2*C2

This formula multiplies the cost of the truck (B2) by the depreciation rate for each year (C2) to get the annual depreciation.

7. Copy the formula in cell D2 and paste it into cells D3 through D7 to calculate the annual depreciation for each year.

8. Use the following formula in cell E2 to calculate the cumulative depreciation for each year:

=SUM(D$2:D2)

This formula adds up the annual depreciation for each year from D2 to the current row to get the cumulative depreciation.

9. Copy the formula in cell E2 and paste it into cells E3 through E7 to calculate the cumulative depreciation for each year.

10. Use the following formula in cell F2 to calculate the book value of the equipment for each year:

=B2-E2

This formula subtracts the cumulative depreciation for each year (E2) from the cost of the truck (B2) to get the book value.

11. Copy the formula in cell F2 and paste it into cells F3 through F7 to calculate the book value for each year.

12. The book value of the equipment at the end of year four (including year four) is the value in cell F5, which should be $2,880.

Answer:

Step-by-step explanation:

I assume you want her profit which is $9.50

15.00-5.50

Answer:

$45

Step-by-step explanation:

Let the original price be X

(1/3) of X + 5 = 20

\(\frac{1}{3}X=20-5\\\\\frac{1}{3}X=15\\\\X=15*3\\\\X=45\)

Answer:

\(x = 10 + \sqrt{90} \)

Step-by-step explanation:

I think you meant \((x-10)^2 + 10 = 100\) so I'm going to solve that.

here are the steps to solve this equation:

\((x-10)^2 + 10 = 100\)

 \((x-10)^2 = 90\)

\(x-10 = \sqrt{90} \)

\(x = 10 + \sqrt{90} \)

The simplified expression for (f ∘ g)(x) is 2 + x (option d).

To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.

Given:

f(x) = log₃(9x)

g(x) = \(3^x\)

Substituting g(x) into f(x):

(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)

Now, we simplify the expression:

log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)

Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:

log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x

Using the property logₓ\((x^a)\) = a * logₓ(x), we get:

log₃\((3^2)\) + x = 2 * log₃(3) + x

Since logₓ\((x^a)\) = a, where x is the base, we have:

2 * log₃(3) + x = 2 + x

Therefore, (f ∘ g)(x) simplifies to:

(f ∘ g)(x) = 2 + x

So, the correct answer is (d) 2 + x.

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Complete Question:

Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)

(a) 2x

(b) x

(c) \(27^x\)

(d) 2+x

(e) None of these.

The average speed from Ashdown to Carton is 55.5 mph.

To find the average speed from Ashdown to Carton, we need to calculate the total distance travelled and the total time taken.

First, we need to find the total distance travelled. Carol drives from Ashdown to Bridgeton, a distance of 3 hours x 50 mph = 150 miles. Then, she drives from Bridgeton to Carton, a distance of 60 miles. Therefore, the total distance traveled is 150 miles + 60 miles = 210 miles.

Next, we need to find the total time taken. Carol spends 3 hours driving from Ashdown to Bridgeton. Then, she spends 60 miles / 70 mph = 0.857 hours driving from Bridgeton to Carton. Therefore, the total time taken is 3 hours + 0.857 hours = 3.857 hours.

Finally, we can calculate the average speed by dividing the total distance travelled by the total time taken: 210 miles / 3.857 hours ≈ 54.43 mph.

Rounding to 1 decimal place, the average speed from Ashdown to Carton is approximately 55.5 mph.

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