To complete a task in 15 days, a company has 4 people each working 8 hours a day. The company
decide to have 5 people each working 6 hours a day. Assume that each person works at the same
rate.

a) How many days will it take the 5 people to complete the task?

b)Comment on how the assumption affects your answer to part (a).​​

The simplified form of the expression is -11/9

These are expressions written as fractions. Given the following fraction

\(\dfrac{\frac{5}{8} +\frac{3}{4} }{\frac{-2}{3}-\frac{5}{6} }\)

Find the LCM of the numerator and denominator

\(\dfrac{\frac{5}{8} +\frac{3}{4} }{\frac{-2}{3}-\frac{5}{6} }\\\dfrac{\frac{5+6}{8} }{\frac{-4-5}{6} } \\\dfrac{\frac{11}{8} }{\frac{-9}{8} }\)

Divide the result to have:

11/8÷-9/8

11/8 *  8/-9
-11/9

Hence the simplified form of the expression is -11/9

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When dividing 456.3 by 100, how should the decimal point be moved is:

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point. 12.5 is a decimal number, for instance.

In mathematics, the decimal system—also known as the Hindu-Arabic number system or the Arabic number system—is a positional numeral system that uses 10 as its base and calls for the use of 10 different numbers, including 0, 1, 2, 3, 4, 5, 6, 7, and 8. To indicate decimal fractions, a dot (decimal point) is also necessary.

We use decimals on a daily basis when dealing with things like money, weight, and length. Decimal numbers are used when higher accuracy is required than full numbers can provide.

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Answer:

B. 7 1/2

Step-by-step explanation:

8x=12

x = 1.5

2y+10=22

2y = 12

y = 6

1.5 + 6 = 7.5

So, the sum of the solutions of the two equations is

B. 7 1/2

Answer:

Step-by-step explanation:

firstly we solve 8x=12 we divide both sides by 8 since 8 is the coefficient of x so we are trying to find x that is 8x divided by 8 which is x =12 divided by 8 which is 1.5 which means x=1.5 then we solve the second one 2y+10=22 we collect like terms which means 2y=22-10 as you should know the 10 changes to negative when crossed over to the other side so then 2y=12 is the answer then we divide both sides by the coefficient of y which is 2 so 2y divided by 2 =y 12 divided by 2 = 6 so y=6 then we add both of them together x=1.5+(y=6) so add 1.5 and 6 together answer is 7.5 or 7  1/2

Answer:

Step-by-step explanation:

Given that:

Number of books, b α number of children enrolled

b α C

b = kC

Number of books, b = 3 for each child, c = 1 enrolled

Total number of books in class room :

Total number of books = Number of books per child * Number of child)

Total number of books = 3 * Numbe of child

The answer is c i believe

The monthly payment is the amount which is required to pay each month to pay off the borrowed principal amount.

The total year it will take to pay off the loan is 3 years. The option 2 is the correct option.

The monthly payment is the amount which is required to pay each month to pay off the borrowed principal amount.

Given information-

The table between the following terms is arranged below,

Inga’s Payment Plan for the First 3 Years, Year Balance Monthly Payment, End of Year Balance-

1) $19,691.28               $273.49                 $16,409.40

2)$16,409.40              $273.49                $13,127. 52

3)$13,127. 52              $273.49                 $9,845. 64

The amount of $273.49 is deducting from her account each month. As the number of months in a e year are 12. Thus the yearly amount is deducting from account,

\(=273.49\times12\\=3281.88\)

Hence, the yearly amount is deducting from account is $3281.88.

End of the third column of the table the end of year balance of her loan is $9285.64.

Thus the amount which has to pay be paid is $9285.64.

As the the yearly amount is deducting from account is $3281.88. Thus the total year (\(t\)) it will take to pay $9285.64 is,

\(t=\dfrac{9285.64}{3281.88} \\t=3\)

Thus the total year it will take to pay off the loan is 3 years. The option 2 is the correct option.

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Answer:

number 2

Step-by-step explanation:

Answer:

107

Step-by-step explanation:

As interior angles in parallel lines sum up to 180 degrees, we can subtract 73 from 180 to get the answer:

\(x = 180 - 73 = 107\)

Answer:

107

Step-by-step explanation:

x +73 = 180  {Co-interior angles are Supplementary }

x = 180 - 73

x = 107

Answer:

6% change

Step-by-step explanation:

First find the difference between students at the end and the beginning of the year.

1200-1128=72

to find the percent, you need to divide the difference by the initial value.

72/1200=0.06

move the decimal

6%

Answer:

6%

Step-by-step explanation:

take the final amount of students (1128) and divide it by the beginning amount (1200) this will give you the percent of kids that stayed in the school, in decimal form .94, you can now multiply by 100 to get the percentage form of students that stayed, then subtract 94% from 100% to see that there was a 6% decrease in the number of students

if you have any questions, leave them in the comments and i will try to answer them.

Answer:

1

Step-by-step explanation:

Because the shape divided has to create another shape and for 1 it's an oval at the beginning and then after the lines of symmetry go through its seen as 8 triangles.

A) The probability that the sample mean is within $500 of the population mean for a sample of size 60 is 0.6611

B) The probability that the sample mean is within $500 of the population mean for a sample of size 120 is 0.7362

The EAI (Error of the Estimate) sampling problem is a specific case of the Central Limit Theorem, which states that the distribution of sample means from a population with a finite variance will be approximately normally distributed as the sample size increases.

The formula for calculating the standard error of the mean is

SE = σ/√n

where SE is the standard error, σ is the population standard deviation, and n is the sample size.

For n = 30, SE = 4,000/√30 = 729.16

A. For a sample size of n = 60, SE = 4,000/√60 = 516.40

To find the probability that the sample mean is within $500 of the population mean, we need to calculate the z-score for a range of +/- $500

z = (x - μ) / SE

where x is the sample mean, μ is the population mean, and SE is the standard error.

For a range of +/- $500, the z-scores are

z = ($51,300 - $51,800) / 516.40 = -0.969

z = ($52,300 - $51,800) / 516.40 = 0.969

Using a standard normal distribution table, the area between z = -0.969 and z = 0.969 is 0.6611.

B. For a sample size of n = 120, SE = 4,000/√120 = 368.93

Following the same steps as above, the z-scores for a range of +/- $500 are

z = ($51,300 - $51,800) / 368.93 = -1.364

z = ($52,300 - $51,800) / 368.93 = 1.364

Using the standard normal distribution table, the area between z = -1.364 and z = 1.364 is 0.7362.

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Option D: When one variable is dichotomous and the other is regular, numerical scores.

The phi-coefficient is used when one variable is dichotomous and the other is regular, numerical scores. It is a measure of the association between two dichotomous variables, similar to Pearson’s correlation coefficient for continuous variables.

The phi-coefficient is an effective way to compare the difference between two variables because it compares the difference between the variables rather than the absolute values of the variables.

For instance, it is commonly used in psychology, social science, and other fields when the research focuses on categorical variables.

The answer is D: When one variable is dichotomous and the other is regular, numerical scores.

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We will have the following:

10. We determine the individual cost for each of the 10, that is:

So, you will be saving $0.50 per book.

11. We will have that the length of the segment that connects vertex T to vertex V is:

So, the segment has a length of 5 units.

Answer:

root3

Step-by-step explanation:

multiply the numerator and denominator by the root of 3

3root2×root3/root3×root3

3root6/3

note root3×root3=3

the 3 up will divide the 3 down

and that lives u with the answer root2

sorry currently won't have a way of writing the roots thats y am using words

Answer:

1. 36m squared

2. 60 m squared

3.288 m 2

4. 154m 2

Step-by-step explanation:

Mean is average 11 x 2 = 22

The two cards need to equal 22 when added together.

the difference is 6:

6/2 = 3

11-3 = 8

11+ 3 = 14

14 +8 = 22

the two numbers are 8 and 14

The statement "the coefficient of determination measures the variation in the dependent variable that is explained by the regression model" is true because coefficient of determination, or R-squared, measures the proportion of variance in the dependent variable that is explained by the independent variables in a regression model.

The coefficient of determination, or R-squared, is a statistical measure that evaluates the goodness of fit of a regression model. It quantifies the amount of variance in the dependent variable that can be explained by the independent variables in the model. R-squared ranges from 0 to 1, where a value of 0 means that none of the variation in the dependent variable is explained by the model, while a value of 1 indicates that all the variation is explained.

Therefore, R-squared is useful in assessing the predictive power of a model, and higher values are generally preferred. However, it is important to note that R-squared alone does not guarantee a good model, and other factors such as model assumptions and outliers should also be considered.

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Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

The rectangle has equal dimensions, and the area of the rectangle is 44944 square units

The given parameters are:

Length = 212 units

Width = 212 units

The area of the rectangle is:
Area = Length * Width

So, we have:

Area = 212 * 212

Evaluate

Area = 44944

Hence, the area of the rectangle is 44944 square units

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Answer:

Kenya is trying to find matching

socks. There are 4 red socks, 6 blue

socks, and 2 white socks in her

drawer. What is the probability that

Kenya will pull out a blue sock, put it

on, and then pull out another blue

sock to put on?

Kenya is trying to find matching

socks. There are 4 red socks, 6 blue

socks, and 2 white socks in her

drawer. What is the probability that

Kenya will pull out a blue sock, put it

on, and then pull out another blue

sock to put on?

Kenya is trying to find matching

socks. There are 4 red socks, 6 blue

socks, and 2 white socks in her

drawer. What is the probability that

Kenya will pull out a blue sock, put it

on, and then pull out another blue

sock to put on?

Kenya is trying to find matching

socks. There are 4 red socks, 6 blue

socks, and 2 white socks in her

drawer. What is the probability that

Kenya will pull out a blue sock, put it

on, and then pull out another blue

sock to put on?

Kenya is trying to find matching

socks. There are 4 red socks, 6 blue

socks, and 2 white socks in her

drawer. What is the probability that

Kenya will pull out a blue sock, put it

on, and then pull out another blue

sock to put on?

Answer:

reflection across the y- axis

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Thus

The given transformation rule (x, y ) → ( - x, y )

Represents a reflection in the y - axis

The parametrization of the tangent line at the point P = (0, 1, 3) is L(t) = ti + (1 - 4t)j + (3 + 3t)k.

To find the parametrization of the tangent line at the indicated point, we first need to evaluate the vector r(t) at the given value of t, which is t = 1.

r(t) = (ln t)i + t^(-4)j + 3tk

Substituting t = 1 into the vector r(t), we get:

r(1) = (ln 1)i + 1^(-4)j + 3(1)k

    = 0i + 1j + 3k

    = j + 3k

So, the point on the curve is P = (0, 1, 3).

To find the tangent line at point P, we need the derivative of r(t) with respect to t:

r'(t) = (1/t)i - 4t^(-5)j + 3k

Substituting t = 1, we get:

r'(1) = (1/1)i - 4(1)^(-5)j + 3k

     = i - 4j + 3k

Therefore, the parametric equation for the tangent line at point P is:

L(t) = P + t * r'(1)

L(t) = (0, 1, 3) + t(i - 4j + 3k)

Simplifying, we get:

L(t) = ti + (1 - 4t)j + (3 + 3t)k

So, the parametrization of the tangent line at the point P is L(t) = ti + (1 - 4t)j + (3 + 3t)k.

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Answer:

answer:

(x+34)+(2X+2)=180

3X+36=180

X=72

Step-by-step explanation:

Answer: 8 hours

Step-by-step explanation:  240 mph ÷ 30 = 8 hours

Answer:

7·52≥6          dont do the line under the more than sign i couldnt find the symbol without the line and the dot means multiplying PLEASE MARK THE BRAINLIEST

Expressions can be represented as equations or inequalities or neither.

The required expression is: 7 * 52 - 6

7 times the quantity of 52 means 7 * 52

More than 6 means we subtract 6 from 7 * 52

So, we have:

7 * 52 - 6

Hence, the expression that shows 7 times the quantity of 52 more than 6 is: 7 * 52 - 6

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Step-by-step explanation:

x=120⁰

hdbdbdddfhcydhgdjvds

The statement that would help to show that ∠2 ≅ ∠4 include the following: B) ∠1 is supplementary to ∠2 and ∠1 is supplementary to ∠4

What is a supplementary angle?

In Mathematics and Geometry, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.

Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can reasonably infer and logically deduce that the sum of the given angles are supplementary angles:

m∠1 + m∠2 = 180° (Linear pair theorem).

m∠1 + m∠4 = 180° (Linear pair theorem).

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Complete Question:

Consider the diagram of two intersecting lines and the angles that are formed.

Which statement will help to show that ∠2≅∠4?

a.)∠1 is complementary to ∠2,and ∠1 is complementary to ∠4.

b.) ∠1 is supplementary to ∠2, and∠1 is supplementary to ∠4.

c.) m∠1+m∠3=90°.

d.) ∠1 is vertical to ∠2, and ∠1 is vertical to ∠4.

Answer:

x=2

Step-by-step explanation:

We must equate f(x)=g(x) ;

x+3=2x^2-3

2x^2-x-6=0, when we solve for x in this equation we get 2 solutions:

x=2, x=-1.5

Since -1.5 is not seen in the table, we consider the value 2.

At x=2 in the table both f(x) and g(x) have the same value 5 and proves f(x)=g(x) has a solution at x=2.

Answer:

x = 2

Step-by-step explanation:

Given:

f(x) = |x| + 3

g(x) = 2x² - 3

From inspection of the table, the equation f(x) = g(x) has a solution when

x = 2 as this is the only value of x when the two functions have the same value of 5.

See attached graph for proof.  The points of intersection are the solutions:  (-2, 5) and (2, 5).  (Since x = -2 is not in the given table, this is not included in the answer to this question).

Answer: The answer is 133.4 degrees.

Sorry if it’s wrong, and hopes this is helps.

The measure of the angle ∠G to the nearest tenth will be 31.6°.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The length of the perpendicular is 28.2 units and the length of the base is 45.8 units, Then the measure of the angle ∠G is calculated as,

tan G = Perpendicular / Base

Substitute the value, then the angle is given as,

tan G = 28.2 / 45.8

tan G = 0.6157

G = 31.6°

The measure of the angle ∠G to the nearest tenth will be 31.6°.

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==============================================================

Explanation:

Select any two points from the diagonal line. I'll pick (0,-10) and (2,-4).

Use these points in the slope formula

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

m = (-4 - (-10))/(2 - 0)

m = (-4 + 10)/(2 - 0)

m = 6/2

m = 3

The slope is 3.

The y intercept is b = -10 since this is the location where the diagonal line crosses the vertical y axis.

The values m = 3 and b = -10 have us go from y = mx+b to y = 3x-10

Answer:

1 yard=94.44 cm

Step-by-step explanation:

Answer:

There are 94.44 cm in 1 yrd.

Step-by-step explanation: