this is the last one i swear

The bus that is the most consistent, given the data collected on travel times to school from two groups of students is C Bus 18, with a range of 10

To determine which bus is the most consistent, we should use the interquartile range (IQR) as the measure of variability. The IQR measures the spread of the middle 50% of the data, which makes it less sensitive to outliers compared to the range.

Bus 47:

Median (Q2): 16

Q1: 10

Q3: 22

IQR = Q3 - Q1 = 22 - 10 = 12

Bus 18:

Median (Q2): 12

Q1: 8

Q3: 18

IQR = Q3 - Q1 = 18 - 8 = 10

Bus 18 has a smaller IQR than Bus 47 (10 vs. 12), which means the travel times for Bus 18 are more consistent.

Note: Figures might be different due to options being for different variant but Bus 18 is the most consistent.

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The times the 7 in the Susan's scores is greater than Sarah's score is 100 times

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

Susan = 87, 325

Sarah = 46, 175

The values of the 7's in their scores are

Susan = 7, 000

Sarah = 70

So, we have

Number of times = 7000/70

Evaluate

Number of times = 100

Hence, the number of times is 100

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Answer:

-5

Step-by-step explanation:

Plug in 3 as x:

g(x) = -x - 2

g(3) = -3 - 2

g(3) = -5

If we invest $12,000 in an account that pays simple interest of 3.4%

each year. 4080 is the interest earned after 10 years.

Simple interest is the cost of borrowing money without accounting for the effects of compounding.

Given that if we invest $12,000 in an account that pays simple interest of 3.4% each year. The interest earned after 10 years we have to calculate.

A=P(1+rt)

A= Final Amount

P=Principle amount=12000

r = rate of interest=3.4%

t is time =10 years

Substitute these values in Formula.

Convert 3.4% to decimal number by dividing with 100.

A=12000(1+0.034(10))

A=12000(1+0.34)

A=12000(1.34)

A=16080

So intial amount-Final amount

12000-16080

4080

Hence the interest earned after 10 years is 4080.

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Answer: let x = the "number"

2x + 3x is the expression

Step-by-step explanation:

The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60

(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.

Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200

Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments

Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]

Total amount paid = $1,300 + $13,200 + $14,041.60

Total amount paid = $28,541.60

Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.

(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.

Total interest paid = Total amount paid - Total amount borrowed - Down payment

Total interest paid = $28,541.60 - $13,200 - $1,300

Total interest paid = $14,041.60

Therefore, the amount of interest Debra paid on the loan was $14,041.60.

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Answer:

y=-2/3x+18

Step-by-step explanation:

Slope intercept form equals y=mx+b

Step 1 move 2x to the other side.  3y=-2x+18

Step 2 divide by 3.   y=-2/3x+18

The total area of the Sea of Japan and the Southern Ocean is 2.1334 × 10⁷ km². The correct option is the first option 2.1334 × 10⁷ km²

From the question, we are to calculate the total area of the sea and ocean

From the given information,

"The area of the Sea of Japan is 1.007 × 106 km²"

and

"The area of the Southern Ocean is 2.0327 × 107 km²"

Thus,

The total area of the sea and ocean = 1.007 × 10⁶ km² + 2.0327 × 10⁷ km²

The total area of the sea and ocean = 0.1007 × 10⁷ km² + 2.0327 × 10⁷ km²

The total area of the sea and ocean = 2.1334 × 10⁷ km²

Hence, the total area is 2.1334 × 10⁷ km²

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Answer:

  76 units

Step-by-step explanation:

You want the length of AC in the given triangular pyramid.

The Pythagorean theorem can be used to find the lengths of AD and CD.

  AD² + 40² = 41²

  AD² = 41² -40² = 81 . . . . . = 9²

and

  CD² +40² = 85²

  CD² = 85² -40² = 5625 . . . . . = 75²

It can also be used to find AC:

  AD² + CD² = AC²

  81 + 5625 = AC²

  AC = √5706 = 3√634 ≈ 76

The length of side AC is about 76 units.

__

Additional comment

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs of a right triangle.

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Answer:

An acute angle

Step-by-step explanation:

An acute angle is smaller than an obtuse ad right angle.

hope this helps and hope it was right 'cause I really don't know what you meant. :)

Collin's gross salary, after the 7% raise, for each 2-week pay period, will be approximately $1,159.17.

To calculate Collin's gross salary after the 7% raise for each 2-week pay period, we need to find the raise amount and add it to his current gross salary.

Collin's current gross salary is $1,083.34.

To find the raise amount, we multiply his current gross salary by 7% (or 0.07):

Raise amount = $1,083.34 \(\times\) 0.07

= $75.8338 (rounded to two decimal places)

Now, we add the raise amount to his current gross salary to find the new gross salary:

New gross salary = $1,083.34 + $75.8338 = $1,159.1738 (rounded to two decimal places)

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Answer:

-1/3

Step-by-step explanation:

Answer:

Step-by-step explanation:

a portion or division of a whole that is separate or distinct; piece, fragment, fraction, or section; constituent: the rear part of the house;to glue the two parts together.

Please thank me!

Step-by-step explanation:

Answer: 0 ≤ y < ∞

Step-by-step explanation:

   First, let us graph the function. See attached.

-> If I graphed the formatting of the square root sign incorrectly, please let me know so I can fix the answer.

  The range of the function is all of the function's output values. In this case, all of the y values.

        0 ≤ y < ∞

The width of the framing material is 19inches

The area of a shape is the “space enclosed within the perimeter or the boundary” of the given shape. We calculate the area for different shapes using math formulas. Area is measured in square unit.

The area of a rectangle is Length × width

The Area of the photograph is L×W = 7×6= 42square inches

when a frame of x inches wide is added to the size of the photograph, the total width of the of the framed photograph is 6+x

The area of the framed photograph = 7(6+x)= 156

42+ 7x= 156

7x= 156-42

7x=114

divide both sides by 7

x= 114/7

x=16.3 inches

therefore the width of the frame is 16.3 inches

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Answer:

Step-by-step explanation:

20 + 2 * 10 square  + 1/2 + 1/4 +1/8

20 + 2*100 + ( lcm of 2,4,8)

20+200+ 4+2+1/8

220 + 7/8

1760 + 7/8

1767/8

= 220.875

Answer:

Have u answered it already or u want help or u want to be sure of the answer

Answer:

400

83 000 000

600,000

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

483,600,000 miles

Answer:

1/27 cubic in.

Step-by-step explanation:

1/3*1/3*1/3= 1/27

The volume of the cube if, its edge length is 1/3 inch is 1 / 27 inches³.

The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.

Given:

The length of the edge = 1 / 3 inches,

Calculate the volume of the cube as shown below,

The volume of the cube = The length of the edge × The length of the edge × The length of the edge

The volume of the cube = 1 / 3 × 1 / 3 × 1 / 3

The volume of the cube = 1 / 27

Thus, the volume of the cube is 1 / 27 inches³.

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After some mathematical operations, the rate of change is -273/5.

So, the rate of change will be:

Evaluate as follows:

Therefore, after some mathematical operations, the rate of change is -273/5.

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Using the Central Limit Theorem, it is found that these conditions are required to avoid the high variability associated with small samples.

\(s=\sqrt{p(1-p)/n}\)

\(p v=2*p(z < -0.531)=0.595\)

1) Data given and notation

n=500 represent the random sample taken

X=380 represent the number of people with some characteristic

estimated proportion of adults that said that it is morally wrong to not report all income on tax returns

is the value that we want to test

represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

represent the p value (variable of interest)

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.7 .:  

Null hypothesis:  

Alternative hypothesis:  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

(1)  The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value Check for the assumptions that he sample must satisfy in order to apply the test

a)The random sample needs to be representative: On this case the problem no mention about it but we can assume it.

b) The sample needs to be large enough

3) Calculate the statistic  

\(z=\frac{0.76 - 0.77}{\sqrt{\frac{0.77(1-77)}{500} } =0.531}\)

Since we have all the info requires we can replace in formula (1) like this:  

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \(\alpha =0.05\)The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

\(pv=2*p(z < -0.0531)=0.595\)

If we compare the p value and using the significance level given  we have  so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion is not significantly different from 0.77.  

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Answer:

Step-by-step explanation:

In geometry, ​8 ft. 3 ft. specifies the dimension of an object. That is the  length and the width.

8 ft. 3 ft. is a dimension, specifically a length and a width. It could refer to the size of a rectangular object, such as a room or a piece of furniture.

In geometry, such a dimension is often used to calculate the area of the rectangle.

The area of a rectangle can be found by multiplying its length by its width.

So, in this case, the area of the rectangle with dimensions 8 ft. * 3 ft. would be 8 ft * 3 ft = 24 ft².

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Answer:

4

Step-by-step explanation:

16 = 2 * 2 * 2 * 2

24 = 2 * 2 * 2 * 3

32 = 2 * 2 * 2 * 2 * 2

HCF = 2 * 2 *  2 = 8

Possible common factors are  1 , 2 , 4 , 8

Ratio in which flowers to be used  16:24 : 32

= 2 : 3 : 4

4 Possible arrangement

Orange      White     Baloon    

2                 3             4

4                 6             8

8                 12           16

16                24           32

The number of months Mark can have the phone is given by the equation

A = 11.4 months

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of months be represented as = A

Now , the equation is

Now , the total amount with Mark = $ 146.43

The initial amount for the smartphone = $ 33

The amount per month for 2GB is = $ 9.95

So , the amount for A months = $ 9.95 ( A )

So , the equation will be

Initial amount for the smartphone + the amount for A months = total amount with Mark

Substituting the values in the equation , we get

33 + 9.95 ( A ) = 146.43   be equation (1)

On simplifying the equation , we get

Subtracting 33 on both sides of the equation , we get

9.95 ( A ) = 113.43

Divide by 9.95 on both sides of the equation , we get

A = 11.4 months

Therefore , the value of A is 11.4 months

Hence , the number of months is 11.4 months

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Answer:

90090090 quarts to fill the fish tank

When 'x' is 5, the Algebraic  expression 3x - 4 evaluates to 11.

To find the algebraic expression for "4 less than the product of 3 and some number," let's break it down step by step.

First, let's define the unknown number as 'x.' Since the problem states "the product of 3 and some number," we can express this as 3 * x or simply 3x.

Next, we want to subtract 4 from this product. The phrase "4 less than" indicates subtraction, so we subtract 4 from 3x. This can be represented as 3x - 4.

In summary, the algebraic expression for "4 less than the product of 3 and some number" is 3x - 4, where 'x' represents the unknown number.

To calculate the value of this expression for a specific value of 'x,' you substitute that value into the expression and simplify. For example, if 'x' is 5, you would substitute 5 into the expression:

3(5) - 4

This simplifies to:

15 - 4 = 11

So, when 'x' is 5, the expression 3x - 4 evaluates to 11.

In general, the algebraic expression allows us to represent a mathematical relationship between quantities using symbols and operations. By substituting specific values into the expression, we can calculate the corresponding results.

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Note the complete question:

Algebraic expression for 4 less than the product of 3 and some number

What is the algebraic expression for "4 less than the product of 3 and some number?

Please help me understand the meaning of how to calculate.