A shopper at a local supermarket spent the following amounts in her last eight trips to the store: $32.92 $14.14 $30.80 $28.34 $75.58 $36.33 $33.51 $22.94 Deleting the amount spent of $75.58 would _____ the mean. Please choose the correct answer from the following choices, and then select the submit answer button. Answer choices reduce increase not affect double

Answer:

8,855

Step-by-step explanation:

The number of possible orders is 2,30,230.

Combinations are ways to choose things from a collection where the order of the choices is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.

The definition of the combination is "An arrangement of objects where the order of the objects is irrelevant." Combining the words indicates "Selection of things," where the order of the items is irrelevant.

Given total numbers of flavours = 26

number of dip = 6

Combinations allows us to create various sets of x components from a total of n elements, where their order is irrelevant and no member is repeated.

Combinations can be mathematically stated as:

ⁿCₓ = \(\frac{n!}{(n - x)!x!}\)

we have n = 26

and x = 6

ⁿCₓ =  \(\frac{n!}{(n - x)!x!}\)

²⁶C₆ = \(\frac{26!}{(26 - 6)!6!}\)

26! = 26 x 25 x 24 x 23 x 22 x........ x 1

6! = 6 x 5 x 4 x 3 x 2 x 1

²⁶C₆ = 26!/(20!6!)

²⁶C₆ = 26 x 25 x 24 x 23 x 22 x 21 x 20!/(20!6!)

²⁶C₆ = 26 x 25 x 24 x 23 x 22 x 21/(720)

²⁶C₆ = 2,30,230

Hence the numbers of orders are 2,30,230.

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Answer:

1/4  * 12

Step-by-step explanation:

It takes 1/4 hour to fill 1/12

It has to do this 12 times to be full

so 1/4 hour times 12

Answer:

An oil company fills  of a tank in  hour with gasoline. At this rate, which expression can be used to determine how long it will take for the tank to fill completely? (1 point)

Question 10 options:

1)  

⋅  

2)  

⋅ 4

3)  

⋅ 12

4)  

12 ⋅ 4

Step-by-step explanation:

Answer: The answer to your question is C. Brainliest?

Step-by-step explanation:

For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:

2/12 = (2 x 5) / (12 x 5) = 10/60

For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:

2/15 = (2 x 4) / (15 x 4) = 8/60

Now, we can add the two fractions:

10/60 + 8/60 = 18/60

Simplifying this fraction by dividing both numerator and denominator by 6, we get:

18/60 = 3/10

Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.

The answer is C. 0.3.

The length οf each side οf the dilated rectangle is 63 cm.

Dilatiοn is a transfοrmatiοn that changes the size οf the οbject withοut affecting its shape. It invοlves stretching οr shrinking an οbject unifοrmly alοng all its dimensiοns by a fixed scale factοr.

(a) Tο find the length οf each side οf the dilated image, we need tο multiply the οriginal dimensiοns by the scale factοr οf 3.5.

The length οf the dilated rectangle wοuld be:

Length = 18 cm x 3.5 = 63 cm

The width οf the dilated rectangle wοuld be:

Width = 8 cm x 3.5 = 28 cm

Therefοre, the length οf each side οf the dilated rectangle is 63 cm fοr the length and 28 cm fοr the width.

(b) Tο draw the new image A'B'D'C, we can use the fοllοwing steps:

Draw a rectangle with a length οf 63 cm and a width οf 28 cm.

Draw a vertical line thrοugh the midpοint οf the rectangle, dividing it intο twο equal halves.

Label the midpοint οf the line as O, which is the center οf dilatiοn.

Draw lines cοnnecting each cοrner οf the οriginal rectangle tο the center οf dilatiοn.

Extend each line tο dοuble its length, passing thrοugh the center οf dilatiοn and ending at A', B', C', and D'.

Cοnnect the endpοints οf each line tο fοrm the dilated rectangle A'B'D'C.

The resulting image shοuld lοοk like a larger rectangle that is centered arοund the midpοint O and is 3.5 times larger than the οriginal rectangle.

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Step-by-step explanation:

F=400(1+0.05/1)^1*t

After 1 year= $ 400.20

2= 400.40

3=$ 400.60

4= $ 400.80

5=$ 401.00

6= $ 401.20

7=$ 401.40

8=  $ 401.60

9=$ 401.80

10= $ 402.00

The graph of the balance over every year is plotted. Here, we can see the increase in balance over the years.

"Compound interest is the addition of interest to the principal sum of a deposit, or in other words, interest on principal plus interest."

Here, the principal is (P) = $400

The interest rate(r) = 5% = 0.05

The time period is = n years

Therefore, after n years balance is = P(1 + r)ⁿ

After 1 year, balance is = $400(1 + 0.05)¹ = $420

After 2 years, balance is = $420(1 + 0.05)¹ = $441

After 3 years, balance is = $441(1 + 0.05)¹ = $463.05

After 4 years, balance is = $463.05(1 + 0.05)¹ = $486.20

After 5 years, balance is = $486.20(1 + 0.05)¹ = $510.51

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Where the above data and or function are given, note that the missing value in the table is 7.76.

The table is reconstructed as follows:


x        y

4        6.4
4.3     6.88
4.8       ?
5.2       8.32

Thus, merely taking a look at the values of x, a pattern is established.

We can see that x is increasing by 0.5.

To derive the missing value of y given x, we have to:


1) compute the difference int he values of y for each respective x

we can say

y(5.2) - y(4.3) = 8.32 - 6.88 = 1.44

To find the value of y for x = 4.8:

y(4.8) = y(4.3) + (0.5/0.9) * (y(5.2) - y(4.3))
⇒ y(4.8) = 6.88 + (0.5/0.9) * 1.44
y (4.8) = 7.68

Hence, the missing value is 7.68.

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A set of data that could be represented by the box-and-whisker plot include the following: D.

The median of the set of data is equal to 10.

In Mathematics and Statistics, a box-and-whisker plot is a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the information provided about the data set (2, 2, 7, 10, 10, 11, 13, 15, 17, 20, 20, 24, 26, 27, 27, 28), the five-number summary for the given data set include the following:

Minimum (Min) = 2.

First quartile (Q₁) = 16.

Median (Med) = 10.

Third quartile (Q₃) = 25.5.

Maximum (Max) = 28.

In conclusion, we can logically deduce that the median of the data set is 10 and it has no outlier.

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Answer:

0.188

Step-by-step explanation:

yes

Answer:

7 1/2-(3+7 1/3)= -17/6=-2 5/6 ≅ -2.8333333

Step-by-step explanation:

Answer:

The inequality would be (310-120)/10 less than or equal to x

19 hours minimum

Step-by-step explanation:

(310-120)/10

190/10

19

Answer:

0.07

0.073 has 2 significant figures. If you round it to the nearest hundredth place, then it’ll be 0.07, which has 1 significant figure.

The number 0.073 to 1 significant figure​ to 0.07.

Significant figures are the number of digits that add to the correctness of a value, frequently a measurement. The first non-zero digit is where we start counting significant figures.

Determine how many significant digits there are given a range of numbers.

The first digit of an integer that is not zero is considered to be significant.

Given:

Number = 0.073

So, to make it 1 significant figure we need to round off to nearest hundredth.

0.073 = 0.07, which has 1 significant figure.

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Answer:

7%

Step-by-step explanation:

Add up all of the hot drinks that were ordered:

5 + 48 + 22 = 75

So 75 total hot drinks were ordered.

Of those, only 5 were small. So 5/75 were small drinks.

Then find that as a percentage.

5/75 = x/100

To get to 100, 75 is multiplied by 4/3. So multiply 5 by the same number and you get 6.66666667, which rounds 7% and that is your answer,

Answer:

36

Step-by-step explanation:

A taxpayer's taxable income is reduced by the standard deduction. It makes sure that only families who make more than a specific amount of money will have to pay income tax. When submitting their tax returns, taxpayers have the option to take the standard deduction, which lowers their taxable income and the amount of taxes they must pay.

You might have to spend more time on your tax return. If you itemize, you'll need to set aside extra time when preparing your returns to fill out the big enchilada of tax forms: the Form 1040 and Schedule A, as well as the supporting schedules that feed into those forms.

Add up your itemized deductions and compare the total to the standard deduction available for your filing status. If your itemized deductions are greater than the standard deduction, then itemizing makes sense for you. If you're below that threshold, then claiming the standard deduction makes more sense.

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Answer:

The slope is 0, then the line is horizontal.

y = 6

Step-by-step explanation:

Answer:

B. false

Step-by-step explanation:

they might be congruent.

the answer is based on the question of the given information is sufficient, so that they MUST BE congruent.

no, the given information is not sufficient.

we need at least 3 pieces of information to be sure.

like

the lengths of all 3 sides (SSS).

or 2 angles and the length of their enclosed side (ASA).

or 2 sides and the size of their enclosed angle (SAS).

or other corresponding pieces of information.

here we have only 2 pieces of information :

1 side and 1 angle.

e.g. EF could be a tiny little bit shorter than BC. we could not see that in the graph but the would not be congruent.

Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

28.26 ft squared

Step-by-step explanation:

Area is pi*r^2

3.14*(3)^2

3.14*9

28.26

Answer:

x = -5 and y = 1

Step-by-step explanation:

a) 2x + 5y +5 = 0

a) 2x + 5y = -5

b) 2y = 3x + 17

b) y = 3/2x + 17/2

a) 2x + 5(3/2x + 17/2) = -5

a) 2x + 15/2x + 85/2) = -5

a) 19/2x = -5 - 85/2

a) 19/2x = -95/2

a) x = (-95/2) / (19/2)

x = -5

b) 2y = 3(-5) + 17

b) y = 2/2

y = 1

The nearest Whole percent, the percent increase of women students is approximately 21%.

The percent increase of women students, we need to compare the number of women students in 2005 and 2006.

In 2005, the number of women students was 123.

In 2006, the number of women students was 149.

To find the increase, we subtract the initial value (2005) from the final value (2006):

Increase = Final Value - Initial Value

Increase = 149 - 123

Increase = 26

Next, we need to calculate the percent increase. The percent increase is given by the formula:

Percent Increase = (Increase / Initial Value) * 100

Plugging in the values:

Percent Increase = (26 / 123) * 100

Calculating the percent increase:

Percent Increase ≈ 21.14%

Rounding to the nearest whole percent, the percent increase of women students is approximately 21%.

Therefore, the answer is 21%.

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Answer: A

Step-by-step explanation:

\(-\frac{4}{x}+1=0\\\\1=\frac{4}{x}\\\\x=4\)

Answer:

560 cubes

Step-by-step explanation:

Volume of prism: lwh, 7*4*2.5, 70cm!

Volume of cubes: lwh, 0.5*0.5*0.5, 0.125cm!

70cm/0.125cm=560 cubes.

Answer:

560 cubes

Step-by-step explanation:

first solve the volume of the rectangular prism

V = l x w x h

where l is the length

w is the width

h is the height

V = 7 x 4 x 2.5

v = 70 cu cm

then solve the volume of the box

v = e^3

v = 0.5^3

v = 0.125

number of cubes = 70 / 0.125

number of cubes = 560 cubes

Answer:

9

Step-by-step explanation:

Ac = BD

3(x  - 3) = x + 3  Distribute the 3

3x - 9 = x + 3   Subtract x from both sides

2x - 9 = 3   Add 9 to both sides

2x = 12  Divide both sides by 2

x = 6

Plug 6 back into either expression to solve for the side length

3(x - 3)

3(6-3)

3(3) = 9

or

x + 3

6 + 3 = 9

Answer:

AC = BD = 9

Step-by-step explanation:

the diagonals of a rectangle are congruent , then

AC = BD , that is

3(x - 3) = x + 3 ← distribute parenthesis on left side

3x - 9 = x + 3 ( subtract x from both sides )

2x - 9 = x + 3 ( add 9 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Then

AC = 3(x - 3) = 3(6 - 3) = 3(3) = 9

BD = x + 3 = 6 + 3 = 9

that is AC = BD = 9

The correct value of Jessica's new net salary will be $225.

To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.

Let's denote Sarah's gross salary as "G." We can set up the following equation:

G - 15% of G = $212.50

Simplifying the equation, we have:

G - 0.15G = $212.50

0.85G = $212.50

G = $212.50 / 0.85

G ≈ $250

Sarah's gross salary is approximately $250.

Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:

Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary

Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250

Jessica's net salary = $250 + $12.50 - $37.50

Jessica's net salary = $225

Therefore, Jessica's new net salary will be $225.

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Answer:

h(35) = 43

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

h(t) = 50 - t/5

h(35) is t = 35

Step 2: Evaluate

Answer:

option (d) is correct.

Step-by-step explanation:

Given the table

x       -3       0       3

y       -6       0       6

An ordered pair (x, y) is a composition of the x-coordinate and y-coordinate.

For example, the ordered pair (1, 2) is a composition of the x-coordinate i.e. x = 1 and y-coordinate i.e. y = 2.

The relation can be determined by converting all the points in the table via the ordered pairs and combining all of them such as ordered pairs:

{(-3, -6), (0, 0), (3, 6)}

Therefore, option (d) is correct.

Answer:

(- 12, 10 )

Step-by-step explanation:

2x + 4y = 16 → (1)

- 2x - 3y = - 6 → (2)

add (1) and (2) term by term to eliminate x

0 + y = 10

y = 10

substitute y = 10 into (1) and solve for x

2x + 4(10) = 16

2x + 40 = 16 ( subtract 40 from both sides )

2x = - 24 ( divide both sides by 2 )

x = - 12

solution is (- 12, 10 )

Answer:

(- 12, 10 )

Step-by-step explanation:

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Answer:

x+(x+2) = 156

Step-by-step explanation:

Let x = 1st odd integer

x+2 = next odd integer

x+(x+2) = 156

2x+2 =156

Subtract 2

2x= 154

Divide by 2

x = 77

x+2 = 79

Using an exponential function, it is found that Erina will run 490.5 yards each day in the third week of her training.

An increasing exponential function is modeled by:

\(A(t) = A(0)(1 + r)^t\)

In which:

In this problem:

Then, the equation is:

\(A(t) = A(0)(1 + r)^t\)

\(A(t) = 200(1.5)^t\)

In the third week, the daily distance in meters that she runs is:

\(A(2) = 200(1.5)^2 = 450\)

Since there approximately 27.34 yards in 25 meters, we apply the proportion:

\(d = \frac{450}{25} \times 27.34 = 490.5\)

Erina will run 490.5 yards each day in the third week of her training.

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Answer: To factor the expression -14 - (-8) completely using the distributive law, we need to simplify it first.

Remember that when we subtract a negative number, it is equivalent to adding the positive number. Therefore, -(-8) is the same as +8.

So the expression becomes:

-14 + 8

To factor it further using the distributive law, we can rewrite the addition as multiplication by distributing the -14 to both terms:

(-14) + (8) = -14 * 1 + (-14) * 8

This can be simplified as:

-14 + 8 = -14 * 1 + (-14) * 8 = -14 + (-112)

Finally, we can add the two negative numbers to get the result:

-14 + (-112) = -126

Therefore, the expression -14 - (-8) factors completely as -126.