Malik completed 7 1/2 math problems in 10 1/3 minutes. If he has 20 problems on his homework, how long will it take him to complete his homework at the same pace?

Answer:

A.

Step-by-step explanation:

So you would have f(3) = 3 + \(\frac{2}{2}\)

f(3) = 3 + 1

f(3) = 4

Answer:

Step-by-step explanation: f(x)

3+ a square root of 3+1 / x-1

3+ a square root (4/2)

3+ square root of 2. That's the answer

The area of base of square pyramid is B = 6.5 m^2.

The height of square pyramid is 8.6 m

The formula for the volume of square pyramid is,

Substitute the values in the formula to determine the volume of square pyramid.

So volume of square pyramid is 18.6 m^3.

Answer:

10 dollars

Step-by-step explanation:

5 + 5

The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided, we have the following parameters for the equation of this circle:

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - 1)² = 5²

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Answer:

cosine 71° = distance from wall / 10

A) distance from wall = cosine (71) *10

distance from wall = 3.2557 feet

B) Height up the wall ^2 = 10^2 - 3.2557^2

Height up the wall ^2 = 100 -10.59958

Height up the wall ^2 = 89.40041751

Height up the wall  = 9.45518 feet

Step-by-step explanation:

The unit of the rate of change is (b) dollars per month

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

The table of values

Where we have

y = total amount in dollars

x = number of months

The rate of change is calculated as

Rate  = y/x

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

Rate = total amount in dollars/number of months

So, we have

Unit = dollars per month

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Answer:

1

Step-by-step explanation:

We can see that 7 is equal to 6, as opposite angles are the same.

We can also see that 2 is also 6, as corresponding angles are equivalent.

Therefore, 3 is also congruent to 6, as it is equal to 2.

Hope that this helps!

Please find attached the drawing of the resultant vector, \(\vec{a} + \vec{b}\) = (3, 1), obtained using the parallelogram method, with the sides of the parallelogram drawn with MS Word.

A parallelogram is a quadrilateral that has parallel facing sides.

The parallelogram method can be used to represent the vector addition \(\vec{a}\) + \(\vec{b}\) by making use of the parallelogram rule that states that two vectors placed such that they have a common initial point, and completing the angular sides formed into a parallelogram, the diagonal of the parallelogram that starts from the initial point of the two vectors is the sum of the vectors

The vectors are;

\(\vec{a}\) = (2, -3)

\(\vec{b}\) = (1, 4)

Drawing the vectors \(\vec{a}\) and \(\vec{b}\) using the coordinates of the points on the vectors as the lengths and the heights of the lines representing the vectors, where the -3 in the coordinate of vector \(\vec{a}\) indicates that the vector is a reflection of the vector \(\vec{a}\) = (2, 3) across the x-axis, we get the attached vector, where the value of the vector \(\vec{a}\) + \(\vec{b}\) based on the coordinates of the top of the arrow of the resultant vector, which is the rise and the run of the line is therefore;

\(\vec{a}\) + \(\vec{b}\) ≈ (3, 1)

The vector addition similarly indicates that we get;

\(\vec{a}\) + \(\vec{b}\) = (2 + 1, -3 + 4) = (3, 1)

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The probability of selecting 5, 6, 7, 8 or 9 girls is 0.426 or 42.6%.

In this case, we are given a table that shows the probabilities of the number of girls that could be selected when four newborn babies are chosen at random. The table gives the probability of obtaining 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 or 14 girls. We can use this table to calculate the probability of selecting a specific number of girls or a range of values.

To find the combined probability of selecting 5, 6, 7, 8 or 9 girls, we need to add the probabilities of each of these values. We can see from the table that the probabilities for these values are 0.006, 0.209, 0.006, 0.022 and 0.183, respectively. Therefore, the combined probability of selecting 5, 6, 7, 8 or 9 girls is:

P(5,6,7,8,9 girls) = P(5 girls) + P(6 girls) + P(7 girls) + P(8 girls) + P(9 girls)

= 0.006 + 0.209 + 0.006 + 0.022 + 0.183

= 0.426

This means that if we were to randomly select four newborn babies, there is a 42.6% chance that we would get either 5, 6, 7, 8 or 9 girls.

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Complete question:

Assume that researcher randomly selects I4 newborn babies and counts the number of (1 point) girls; x: The probabilities corresponding to the 14 possible values of summarized in the given table. Answer the questions using the table:

Probabilities of girls

x(girls) 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14

p (x)    0.122 0.061 0.001 0.183 0.022 0.006 0.209 0.006 0.022 0.183 0.01 0.061 0.122 00.610 00.819

Find the combined probability of selecting 5,6,7,8 or 9 girls

Simplifying, the exponents expression, we have 63y/xu⁴

Exponents are the powers to which a particular number is raised.

Given the expression 3y⁻⁴ . 3y⁵x⁸u⁻⁵.7x⁻⁹. To simplify the expression, we use the product rule of exponents which states that for a given base x, xᵃ xᵇ = xᵃ⁺ᵇ.

So, applying this rule to the expression and collecting common bases, we have that

3y⁻⁴ . 3y⁵x⁸u⁻⁵u.7x⁻⁹ = 3y⁻⁴ × 3y⁵ × x⁸ × 7x⁻⁹ × u⁻⁵ × u

= 3 × 3 × y⁻⁴ × y⁵ × 7 × x⁸ × x⁻⁹ × u⁻⁵ × u

Applying the product rule, we have that

= 3 × 3 × y⁻⁴ ⁺ ⁵ × 7 × x⁸ ⁺(⁻⁹) × u⁻⁵ ⁺ ¹

= 3 × 3 × y⁻⁴ ⁺ ⁵ × 7 × x⁸ ⁻ ⁹ × u⁻⁵ ⁺ ¹

= 3 × 3 × y × 7 × x⁻¹ × u⁻⁴

= 3 × 3 × 7 × y × x⁻¹ × u⁻⁴

Using the reciprocal rule that x⁻ⁿ = 1/xⁿ, we have that

= 3 × 3 × 7 × y × x⁻¹ × u⁻⁴

= 63 × y × 1/x × 1/u⁴

= 63y/xu⁴

So, simplifying, we have 63y/xu⁴

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Answer:

1) 30 pounds is the weight of the bag all together

2) science book is the heaviest book

Step-by-step explanation:

bag=4 pounds

library book=2 pounds

maths book=2×4=8 pounds

science book=8×2=16 pounds

4+2+8+16=30 pounds all together

heaviest book= science book (16 pounds)

Step-by-step explanation:

so, they want to sell 200,000 tickets (and we assume they can really sell all of these).

they have to pay the prize money afterwards :

1 × $8,000 = $8,000

10 × $300 = $3,000

75 × $50 = $3,750

--------------

$14,750

and they have to pay for the ticket production at the beginning.

this is not really well defined, but I assume the following :

C(20) = 4500 + 6x

x = units of 10,000 tickets (because of the functional argument of 20, and we have to deal with 200,000 tickets).

that means the cost for these 200,000 tickets is then

4500 + 6×20 = $4,620

$4,500 are fixed costs insurgent of the number of tickets (like for creating the design, configuring the printing machines for the design, ...).

and 6×20 = $120 are the cost of actuality printing the tickets ($6 per 10,000 ticket prints).

so, the total expenses are

$14,750 + $4,620 = $19,370

under the assumption they can sell all 200,000 tickets to just break even, the prize for each ticket must be

19,370 / 200,000 = $ 0.09685 ≈ $0.10

if my assumptions are wrong, please adapt the numbers in the calculations i showed you here.

for example, what if the x in the printing cost is per ticket and not per 10,000 tickets ?

then the printing costs would be

4500 + 6×200000 = $1,204,500

and the total expenses would be

$14,750 + $1,204,500 = $1,219,250

and the prize per ticket would have to be

1,219,250 / 200,000 = $ 6.09625 ≈ $6.10

The total amount of all the prize money is $14,750, and the price of each of the 200,000 raffle tickets in order to break even should be $0.08.

Given that to raise money for malaria research the New York City Rotary Club is going to sell 200,000 raffle tickets, and one ticket will have an 8000 dollar prize attached to it, while ten tickets will have a 300 dollar prize attached to it, and seventy-five tickets will have a 50 dollar prize, to determine what is the total amount of all the prize money and what should be the price of each of the 200,000 raffle tickets in order to break even, the following calculation must be made:

Therefore, the total amount of all the prize money is $14,750, and the price of each of the 200,000 raffle tickets in order to break even should be $0.08.

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The power expression "w^5" can be entered as "w^5".

To represent a power using the caret symbol, follow these steps:

Start with the base variable or term, in this case, "w".

Type the caret symbol (^), which can be accessed by pressing SHIFT-6 on your keyboard.

Immediately after the caret symbol, enter the exponent or power value, in this case, "5".

The resulting power expression "w^5" represents the variable "w" raised to the power of 5.

Regarding the use of the fraction tool, it is not required to represent the power "w^5" as it does not involve any fraction. The fraction tool is typically used to enter fractions or rational expressions in the form of numerator/denominator.

Therefore, to represent the power "w^5", simply write it as "w^5" without using the fraction tool.

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Answer:

2.\(-2m^4-6m^2+4m+9\)

3.\(-2m^4-6m^2-4m+9\)

Step-by-step explanation:

In general we can write a polynomial in standard form as

\(ax^n+bx^n^-^1+cx^n^-^2+...+px+q\)

Given \(4m-2m^4-6m^2-4m+9\)

Combine the like terms: 4m and -4m

4m-4m=0

We have 4m-4m=0

So, write the remaining terms

\(-2m^4-6m^2+9+0\)

= \(-2m^4-6m^2+9\)

This is in decreasing order of powers.

Hence the answer is the standard form is

\(-2m^3-6m^2+9\)

But in the given options, you can choose option 2 and option 3 are in standard form.

Because they are in decreasing order of powers.

In other two options, the constants term is first and the highest power term is at the last. So, they are not in standard form.

-2m^4-6m^2+4m+9

-2m^4-6m^2-4m+9

I hope this helps you.

And please comment if I need to do corrections.

Please let me know if you have any questions.

Thus, the total number of employees this international company has is  79,762.

There are three typical types of percentage issues that you could encounter in personal or professional settings. Finding the percentage, the starting number, and the finishing number are a few of them.

All three can be answered by computing for the missing half of the percentage method:

Percentage = (Value / Total value) × 100

Let X be the total number of employees.

Total employees in one country = 26,800.

33.6% of X = 26800

X = 26800 / 33.6%

X  = 26800 / 0.336

X  = 79762

Thus, the total number of employees this international company has is  79,762.

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Complete question:

An international company has 26,800 employees in one country. If this represents 33.6% of the company’s employees, how many employees does it have in total?

Answer:

its ur fault that you did it late

Step-by-step explanation:

but the answer is  2 1/9

Answer:

approximately normal

Step-by-step explanation:

khan academy

The shape of the sampling distribution is approximately normal. Therefore, option C is correct.

When the Normal distribution can be used to approximate a distribution, that distribution is said to be nearly Normal. This often happens as a distribution's sample size or component count increases.

According to the Central Limit Theorem, the sample mean is roughly normally distributed regardless of the population's distribution as long as the sample is "big," defined as having a size of 30 or more.

78% of 400,000 people are native Spanish speakers. When a politician took monthly random samples of 75 people in the community who speak Spanish, then the sampling distribution will be an approximately normal distribution. Hence, option C is correct.

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The probability distribution for x is:

x P(x)

0 0.214

1 0.571

2 0.214

Since there are 8 cameras in the box, the total number of ways to choose 2 cameras from the box is given by the combination formula:

C(8,2) = 8!/(2!×(8-2)!) = 28

So there are 28 possible ways to choose a sample of 2 cameras.

Now, let's calculate the probability of each possible value of x:

When x = 0, both cameras in the sample are non-defective. The number of ways to choose 2 non-defective cameras from the 4 non-defective cameras in the box is given by the combination formula:

C(4,2) = 4!/(2!×(4-2)!) = 6

So the probability of x = 0 is:

P(x=0) = (number of ways to choose 2 non-defective cameras)/(total number of ways to choose 2 cameras)

= 6/28

= 0.214

When x = 1, one camera in the sample is defective and the other is non-defective. The number of ways to choose 1 defective camera from the 4 defective cameras in the box and 1 non-defective camera from the 4 non-defective cameras in the box is given by the product of the corresponding combinations:

C(4,1) × C(4,1) = 4×4 = 16

So the probability of x = 1 is:

P(x=1) = (number of ways to choose 1 defective camera and 1 non-defective camera)/(total number of ways to choose 2 cameras)

= 16/28

= 0.571

When x = 2, both cameras in the sample are defective. The number of ways to choose 2 defective cameras from the 4 defective cameras in the box is given by the combination formula:

C(4,2) = 4!/(2!×(4-2)!) = 6

So the probability of x = 2 is:

P(x=2) = (number of ways to choose 2 defective cameras)/(total number of ways to choose 2 cameras)

= 6/28

= 0.214

Therefore, the probability distribution for x is:

x P(x)

0 0.214

1 0.571

2 0.214

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Answer:

Top to Bottom:

2nd Parallelogram

2nd Trapezoid

Triangle

1st Parallelogram

1st Trapezoid

Step-by-step explanation:

1. Trapezoid: 40

2. Triangle: 30

3. Parallelogram: 32

4. Trapezoid: 28

5. Parallelogram: 24

P.S. Sorry I took to Long

Using it's concept, it is found that there is a 0.0333 = 3.33% probability of choosing a B not replacing it and then choosing a vowel.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The word basketball has 10 letters.

Thus, the probability of choosing a B not replacing it and then choosing a vowel is given by:

\(P(A \cap B) = P(A)P(B|A) = 0.1 \times 0.3333 = 0.0333\)

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Answer: 2/45

The question asks for choosing the letter B, which we know that there is two of in basketball, so 2/10, and then we multiply it by the amount of vowels, which is 2/9, and when we multiply we get 4/90 which can be simplified to 2/45.

Answer:

Round both numbers to 1 significant figure.

400+400=800

800 is the answer.

The standard deviation of the restaurant profits in 2021 is given by $71181.

Restaurant profit for outcome 'move to A' = $ 260000

Restaurant profit for outcome 'move to B' = $ 120000

Restaurant profit for outcome 'stay in C' = $ 100000

The mean of restaurant profits = $(260000 + 120000 + 100000)/3 =$ 160000.

Standard deviation of the restaurant profits in 2021 is given by

= $ √({(260000 - 160000)² + (120000 - 160000)² + (100000 - 160000)²}/3)

= $ √(((100000)² + (40000)² + (60000)²)/3)

= $ √(15200000000/3)

= $ √5066666667

= $ 71181 (rounded to the nearest dollar)

Hence standard deviation of the restaurant profits in 2021 is given by $71181.

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The question is incomplete. The complete question will be -

9514 1404 393

Answer:

  p(x) = -x^2 +2x +24

Step-by-step explanation:

When the polynomial has a zero at x=q, it has a factor of (x -q). The zeros of -4 and 6 tell you the factors are (x -(-4)) and (x -6). The end behavior tells you the leading coefficient is negative.

  p(x) = -(x +4)(x -6)

  p(x) = -x^2 +2x +24

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

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Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the answer is d because

20 is "=" 5 times "×" as 4

so the formula derived is

20= 5x4

is represents =

times represents ×

hope you get it

A paired t-test can be used to determine if there is a difference between the means of the two groups.

YES.

A paired t-test is appropriate for determining if there is a significant difference between the means of two groups when the data is paired or dependent. This test compares the means of two related samples to evaluate if the difference between them is statistically significant.

In a paired t-test, each observation in one group is paired or matched with a corresponding observation in the other group. The test examines the difference between the paired values and determines if that difference is significantly different from zero.

By calculating the t-statistic and comparing it to the critical values from the t-distribution, along with the degrees of freedom, we can assess if there is a significant difference between the means of the two groups.

Therefore, a paired t-test can be used to determine if there is a difference between the means of the two groups.

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Answer:

9%

Step-by-step explanation:

p*r*t = Interest

$6000*x*10 years = $5400

interest ÷ time ÷ principal = rate

5400 ÷ 10 ÷ 6000 = 0.09

0.09 = 9%

Answer:

The two possible cases are

(i) the base angles are each 40° and the vertex angle is 100°,

(ii) the base angles are each 70° and the vertex angle is 40°.

Step-by-step explanation:

The number of people at the movie is 340

Let's represent the total number people at the movie as "x".

We know that the number of adults in the movie is 187 and the percentage of children is 45%

So we can write:

187 = (1 - 45%) * x

This gives

187 = 0.55x

To solve for x, we can divide both sides by 0.55:

x = 187/0,55

Evaluate

x = 340

Hence, the number of people is 340

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