What is 73.613 rounded to the nearest whole number?

73
74
76
79

The 8 painters will take 12 hours and 9.6 minutes to paint the office. The result is obtained by comparing the two variables, worker and time duration.

If the they work at the same rate, find the time needed for the 8 painters to finish their job!

Let's say

We convert the unit of time in hours.

t₁ = 7 h 36 min

t₁ = (7 + 36/60) h

t₁ = (7 + 0.6) h

t₁ = 7.6 hours

If they work at the same rate, the number of workers and time durations of each day are directly proportional. So,

w₁/w₂ = t₁/t₂

5/8 = 7.6/t₂

t₂ = 8/5 × 7.6

t₂ = 12.16 hours

In hours and minutes,

t₂ = 12 h + (0.16 × 60) min

t₂ = 12 h 9.6 min

Hence, to paint the office, the 8 painters will take 12 hours and 9.6 minutes.

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Answer:

1/42

Step-by-step explanation:

1/7 ÷ 6/1

1 x 1 = 1

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

7 x 6 = 42

1/42

already simplified to the fullest

hope that helps!

a. The conditions for a valid sampling distribution for p are:

Randomization Condition: The sample of 1785 adults must be selected randomly from the population of all U.S. adults.

10% Condition: The sample size, 1785, must be less than 10% of the population of all U.S. adults.

Success/Failure Condition: The number of successes (people who attended church) and failures (people who did not attend church) in the sample must both be at least 10.

b. The sampling distribution of p is approximately normal with mean equal to the true proportion of U.S. adults who attended church last week, which is given as 0.40 in the newspaper report. The standard deviation of the sampling distribution can be calculated using the formula:

sqrt[(p*(1-p))/n]

where p is the true proportion and n is the sample size. Substituting p=0.40 and n=1785, we get:

sqrt[(0.40*(1-0.40))/1785] = 0.014

Therefore, the sampling distribution of p has mean 0.40 and standard deviation 0.014.

c. To find the probability of obtaining a sample of 1785 adults in which 44% or more say they attended church last week, assuming the newspaper report's claim is true, we need to calculate the z-score and use a standard normal table or calculator to find the corresponding probability.

The z-score can be calculated using the formula:

z = (x - mu) / sigma

where x is the sample proportion, mu is the population proportion (given as 0.40), and sigma is the standard deviation of the sampling distribution (calculated as 0.014 above). Substituting x=0.44, mu=0.40, and sigma=0.014, we get:

z = (0.44 - 0.40) / 0.014 = 2.857

Using a standard normal table or calculator, we find that the probability of obtaining a z-score of 2.857 or higher is approximately 0.0021.

Therefore, the probability of obtaining a sample of 1785 adults in which 44% or more say they attended church last week, assuming the newspaper report's claim is true, is approximately 0.0021.

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The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

Given the equation x^2 = 2y.

The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:

To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].

Now we need to find the value of x that will minimize this expression.

We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.

Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T

he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

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Answer:

$562.43

Step-by-step explanation:

Given:

To find: The value of x and y

Explanation:

Adding (1) and (2) we get,

Substitute x=4 in equation (2) we get,

Hence, the solution is,

Final answer:

Answer:

21 units

Step-by-step explanation:

7x3 is 21

Total attempt = 90

Successful throws = 81

Unsuccessful = Total attempt - Successful

= 90 - 81

=> 9

To calculate the percentage of unsuccessful, we will use the formula:

Answer:

d = 6

Step-by-step explanation:

Given the coordinates A(4, 6) and B(d, 12) with the gradient of AB to be 3

Gradient m = y2-y1/x2-x1

Substitute the given values

3 = 12-6/d-4

3 = 6/d-4

Cross multiply

3(d-4) = 6

Expand

3d - 3(4) = 6

3d - 12 = 6

Add 12 to both sides

3d - 12 + 12 = 6 + 12

3d = 18

Divide both sides by 3

3d/3 = 18/3

d = 6

Hence the value of d  is 6

Answer:

Therefore, the probability of getting at least 3 tails is 1/16 + 1/4 = 5/16 or 0.3125.

The probability of getting exactly 3 tails is just 1/4, as we calculated above.

Step-by-step explanation:

To find the probability of getting at least 3 tails when tossing a coin 4 times, we need to add the probabilities of getting 3 tails and 4 tails.

The probability of getting a tail on one toss is 1/2, and the probability of getting a head is also 1/2.

The probability of getting 4 tails is (1/2)^4 = 1/16 because there is a 1/2 chance of getting a tail on each toss, and the events are independent, so we multiply the probabilities together.

The probability of getting 3 tails is (4 choose 3) * (1/2)^4 = 4/16 = 1/4 because we need to choose which 3 tosses will be tails (this can be done in (4 choose 3) = 4 ways), and there is a 1/2 chance of each of those tosses being a tail, with a 1/2 chance of the last toss being a head.

Answer:

(3x-2) (x-5)

Step-by-step explanation:

30 = -15 X -2

-17 = -15 + -12

3x2 - 15x - 2x +10

factorise

3x(x-5) - 2(x-5)

(3x-2) (x-5)

Answer:

Chart:

x           y

-6         11

3           5

15         -3

-12        15

Step-by-step explanation:

The only things you can plug in are the domain {-12, -6, 3, 15}

Plug in the domain into equation to find y.

-6 :

y = -2/3 (-6) +7

y = +47

y=11

(-6,11)

3:

y = -2/3 (3) +7

y = -2 +7

y = 5

(3, 5)

15:

y = -2/3 (15) +7

y =  -10 +7

y = -3

(15 , -3)

-12:

y = -2/3 (-12) +7

y = 8 + 7

y= 15

(-12,15)

Answer:

1) 11

2) 3

3) -3

4) -12

Step-by-step explanation:

eq(1):

\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)

1) x = -6

sub in eq(1)

\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)

2) y = 5

sub in eq(2)

\(x = (7-5)\frac{3}{2} \\\\x = 3\)

3) x = 15

sub in eq(1)

\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)

4)

sub in eq(2)

\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)

Jack ate 1/10 cup more strawberries than Leo

The problem states that Leo ate 3/5 cup of strawberries, and Jack ate 7/10 cup of strawberries. We need to find out how much more Jack ate than Leo.

To solve this problem, we first need to find a common denominator for the two fractions. The denominator is the bottom number of a fraction, which represents the total number of equal parts that make up a whole.

The smallest common denominator for 5 and 10 is 10. We can convert the fraction 3/5 into an equivalent fraction with a denominator of 10 by multiplying both the numerator and denominator by 2. This gives us 6/10.

Now, we have two fractions with the same denominator: 6/10 and 7/10. To find out how much more Jack ate than Leo, we can subtract the fraction representing what Leo ate from the fraction representing what Jack ate:

7/10 - 6/10 = 1/10

Therefore, Jack ate 1/10 cup more strawberries than Leo did.

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Answer:

6 r10

Step-by-step explanation:

If you do 215 divided by 32 you get 6.71875 so i just rounded your answers and got B) if not be its D)

Answer:

C

Step-by-step explanation:

From the following sets of ordered pairs, line c, (3, 6) and (5, 1), has a negative slope.

To determine the slope of a line given two points, we can use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

If the slope is negative, it means the line is decreasing as we move from left to right, or in other words, it has a negative slope.

Let's apply the formula to each set of ordered pairs:

A. slope = (1 - 5) / (0 - 5) = -4 / -5 = 4/5 (positive slope)

B. slope = (-1 - 3) / (-4 - 2) = -4 / -6 = 2/3 (positive slope)

C. slope = (1 - 6) / (5 - 3) = -5 / 2. (negative slope)

D. This set has only one point (2, 3) and is therefore not sufficient to define a line.

Therefore, only option C has a negative slope. Option B has a positive slope. Option A has a positive slope. Option D is not sufficient to define a line.

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Answer

35000

Explanation

To calculate Daniel's weekly pay, add his regular pay and overtime pay: Weekly pay = $1038.31.

To calculate Daniel's weekly pay, we need to determine his regular hours and his overtime hours.

Regular hours = 37 hours

Overtime hours = Total hours worked - Regular hours

Total hours worked = 9.5 + 8.5 + 10 + 10 + 10.75 = 49.75 hours

Overtime hours = 49.75 - 37 = 12.75 hours

Daniel's regular pay for 37 hours is:

$18.50/hour x 37 hours = $684.50

Daniel's overtime pay for 12.75 hours is:

$18.50/hour x 1.5 = $27.75/hour (time-and-a-half rate)

$27.75/hour x 12.75 hours = $353.81

Therefore, Daniel's weekly pay is the sum of his regular pay and overtime pay:

Weekly pay = $684.50 + $353.81 = $1038.31

Therefore, Daniel's weekly pay is $1038.31.

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Complete question:

Daniel earns $18.50 an hour, with time-and-a-half for hours worked over 37 a week. His clock hours for a week are 9. 5, 8. 5, 10, 10, and 10.75. How much is his weekly pay?

Answer:

The line's slope equals the difference between points' y-coordinates divided by the difference between their x-coordinates. Select any two points on the line of best fit. These points may or may not be actual scatter points on the graph. Subtract the first point's y-coordinate from the second point's y-coordinate.

Answer:

\(900m^3\)

Step-by-step explanation:

Volume is found when you multiply length by height by width.

So, in this case, 18 times 10 times 5.

\(18*10*5=180*5=900\)

So, \(900m^3\) is the answer

Hope this helped! :)

Answer:

$2.50

Step-by-step explanation:

Answer:

2.50

Step-by-step explanation:

5.00/2= 2.50

Hpe this helps!

If there is at-least one-song liked by those two girls but disliked by the third, then the "different-ways" this is possible is 132 ways.

There are ⁴C₃ ways to choose the "3-songs" which are liked by "3-pairs" of girls.

There are 3! ways to find the three songs are liked by which pair of girls.

In total, there are ⁴C₃×3! possibilities for the first "3-songs".

There are "3-cases" for fourth song, let that song be "D".

Case 1: Song "D" is disliked by all three girls means there is only one possibility.

Case 2: Song "D" is liked by exactly one girl means there are three possibility.

Case 3: Song "D" is liked by exactly two girls means there are three pairs of girls to choose from.

However, there is an overlap when "other-song" is liked by "same-pair" of girl is counted as "fourth-song" at some point, in which "case-D" will be counted as one of first "three-songs" liked by same girls.

Counting the overlaps, there are "three-ways" to choose pair with overlaps and 4×3=12 ways to choose what the other "two-pairs" like independently.

In total, there are 3×12=36 over-lapped possibilities,

Therefore, there are ⁴C₃ × 3! ×(3+1+3)-36 = 132 ways for the songs to be likely by the girls.

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A qualitative research paradigm is a research approach that focuses on understanding and interpreting subjective experiences, meanings, and social phenomena.

It involves collecting and analyzing non-numerical data to gain insights into individuals' perspectives and the social context in which they exist. Focus group techniques are one of the methods used within the qualitative research paradigm to gather data through group discussions.

The qualitative research paradigm aims to explore and understand the complexity and nuances of human experiences, behaviors, and social phenomena. It recognizes the importance of context and seeks to generate rich and in-depth understandings rather than generalizable conclusions. Qualitative research methods involve collecting data through methods such as interviews, observations, and document analysis. The data collected is typically in the form of words, images, or other non-numerical formats. Researchers then analyze the data using various techniques, such as thematic analysis or grounded theory, to identify patterns, themes, and meanings.

Focus group techniques are one of the commonly used methods within the qualitative research paradigm. Focus groups involve bringing together a small group of participants who share common characteristics or experiences to engage in a facilitated discussion on a specific topic of interest. The group interaction allows participants to share their perspectives, experiences, and opinions while also influencing and being influenced by others in the group. This method provides rich qualitative data and allows researchers to explore group dynamics, collective meanings, and shared understandings.

Overall, the qualitative research paradigm and focus group techniques emphasize the importance of understanding subjective experiences, social interactions, and contextual factors to gain insights into human phenomena.

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The value of the function given by term h(x) = \(\frac{x^2-3x+2}{-x^2-4x+4}\) , the n the value of the function h'(-5) is -239.

Let h(x) = \(\frac{x^2-3x+2}{-x^2-4x+4}\)

so to find the value of h'(5),

h(x) = \(\frac{x^2-3x+2}{-x^2-4x+4}\)

by using the formula,

\(\frac{d}{dx} \frac{f(x)}{g(x)} = \frac{g(x)d/dxf(x) - f(x) d/dxg(x)}{g(x)^2}\)

h'(x) = \(\frac{(-x^2-4x+4)(2x-3)-(x^2-3x+2)(-2x-4)}{(-x^2-4x+4)^2} \\\\\frac{(-(-5)^2-4(-5)+4)(2(-5)-3)-((-5)^2-3(-5)+2)(-2(-5)-4)}{(-(-5)^2-4(-5)+4)^2} \\\\\= \frac{13-252}{1\\} \\\\= -239\)

A function is a relationship between a set of inputs and a set of allowable outputs that has the condition that each input is associated to precisely one output. Let A and B be any two non-empty sets; mapping from A to B is only a function if every element in set A has one end and only one image in set B.

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Answer:

\( - 4(x + 9) \\ - 4 \div - 4 = 1 \\ - 36 + - 4 = 9\)

Option- D is correct that is the probability that at most 27 heads occur is 0.99999994.

Given that,

A fair coin is tossed 29 times.

We have to find what is the probability that at most 27 heads occur.

We know that,

A fair coin is tossed 29 times.

n=29

Probability of heads p=1/2

q= 1-p

q=1-1/2=1/2

We get

P (X=x) = ⁿCₓ qⁿ⁻ˣ pˣ

Now, the probability that at most 27 heads occurs is

P(X<27)

=1-[P(X=28)+ P(X=29)]

=1-[²⁹C₂₈(1/2)²⁹⁻²⁸(1/2)²⁸- ²⁹C₂₉(1/2)²⁹⁻²⁹(1/2)²⁹]

=1-[²⁹C₂₈(1/2)²⁹- ²⁹C₂₉(1/2)²⁹]

=1-[28+1](1/2)²⁹

=1-29×0.00000000186

=0.999999945

Therefore, Option- D is correct that is the probability that at most 27 heads occur is 0.99999994.

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Answer:

25

Step-by-step explanation:

.45x25+10.00= 21.25

.65x25+5.00=21.25

Answer:

Answer on a graph

Answer:

ur correct

Step-by-step explanation:

if ∠N and ∠Y are the same then we know the missing angle is 30.°  

30

Step-by-step explanation:

do angle sum property

x + z + y = 180

60 + 90 + y = 180

150 + y = 180

y = 180-150

y = 30

x = - 2.5

Hi there !

4 - (2x + 4) = 5

4 - 2x - 4 = 5

- 2x = 5

2x = - 5

x = - 5 : 2

x = - 2.5

Good luck !