On a science test, a score of
91 falls exactly 1.5 standard
deviations above the mean. If
the standard deviation for the
test is 8, what is the mean score?

Answer:

Yes, this is an arithmetic sequence.

The difference is -3, so a(n+1) = a(n) - 3

The 21st term is -53, calculated as follows:

a(21) = 7 + (21 - 1)(-3) = -53

The next three terms are -5, -8, and -11.

Answer:

If you slice a cone parallel to the base, the cross section is a circle.

Step-by-step explanation:

ik this isn't all but i hope this helps

The equation of the line that forms the hypotenuse is y = -3/4 x + 5

A line is defined as the shortest distance between two points. The equation of a line in slope-intercept form is expressed as:

y = mx + b

where:

m is the slope

b is the intercept

The coordinate points that gives the largest distance will be used. the points form the largest distance;

Using the coordinate points A(0,5), B(4,2)

Slope = 2-5/4-0
Slope = -3/4

The intercept is (0,5)

Determine the equation

y = mx + b

y = -3/4 x + 5

This gives the required equation.

Learn more on equation of a line here: https://brainly.com/question/13763238

#SPJ1

Answer:

The other number is 120.

Step-by-step explanation:

30×360 =90xx

x=(30×360)/90

x=120

(HCFXLCM= Product if the two

numbers)

Previously available balance = $320.39

Deposit made by Mrs. Hammonds = $100

Cheques used for withdrawal,

$97.54

$48.27

The new balance = $320.39 + $100 - $97.54 - $48.27

= 420.39 - 145.81

= 274.58

So, the new balance in her account is $274.58.

To learn more about Withdrawal, refer to:

https://brainly.com/question/14289883

#SPJ13

Answer:

$8.50 per pound

Step-by-step explanation:

[tex]44.20 \div 5.2 = 8.50[/tex]

Answer:

104 ;108;112;116;120;124;128;132;136 ;140;144;148

Answer:

104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148

Step-by-step explanation:

A multiple of 4 can generally be defined as divisible by 4.

We can define an equation for it: [tex]4n[/tex] where n is an integer.

From here we can see that if n=25, we have a number of 100 which indeed is a multiple of 4 since dividing it by 4 results in 25 which makes sense since 100 is the result of 4 * 25.

Now starting from 100 (excluding 100 since between 100 and 150), or n=25, we can increase the value of the number by 4, or n by 1 which is doing the same thing.

So start at 100, then 100+4 = 104, then 104+4=108 and so on... until you reach a number greater than or equal to 150, and if it is 150 make sure to exclude it since it says between 100 and 150 which implies it's excluding the end points.

This gives us a result of: 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148

Answer:

The answer is "If it does not have four legs, then an animal is not a fish

To form the contrapositive, switch the hypothesis and the conclusion and negate both.

The hypothesis is the "if" part and the conclusion is the "then" part.

Answer:

If it is not a fish, then it has four legs.

Step-by-step explanation:

If A  then  B

the contrapositive of this is

If Not B then not A.

When you solve   w = __Z,

you will get the value of X ( but there should be a variable' X' in the blank space). This is the method in Algebra.

To learn more about Algebra refer:

https://brainly.com/question/4344214

#SPJ13

Multiply both sides by 2:

Add x to both sides:

Subtract 2 from both sides:

Divide both sides by 2:

Answer:

The tax that is paid on the item purchased to the nearest cent is $0.13,

Tax is a form of transfer of wealth from individuals or businesses to the government. Taxes increase the cost of a good or service. When tax is levied on a good or service, the tax is paid when the good or service is paid for. It is added to the purchase price of the good or service.

In order to determine the tax paid, multiply the cost of the item by the tax rate. Multiplication is the process that is used to determine the product of a number. The sign that denotes multiplication is ×.

Tax paid = cost of the item x tax rate

$3 x 4.4%

$3 x 0.044 = $0.13

To learn more about taxes, please check: https://brainly.com/question/25311567

#SPJ1

The numerical value of the third number in an improper and mixed fraction form is 93/10 and 9 3/10 respectively.

Given the data in the question;

Let 'x' represent the third number

First, convert the numbers form mixed fractions to improper fractions

Sum of the three numbers = 24 4/5 = ( 24×5 + 4 )/5 = 124/5

First number = 8 2/3 = ( 8×3 + 2 )/3 = 26/3

Second number =  6 5/6 = ( 6×6 + 5 )/2 = 41/6

Now, to determine the third value, equate the sum of the three numbers to the total and solve for x

26/3 + 41/6 + x = 124/5

( 156 + 123 )/18 + x = 124/5

( 279 )/18 + x = 124/5

31/2 + x = 124/5

x = 124/5 - 31/2

x = ( 248 - 155 )/10

x = ( 93 )/10

x = 93/10

x = 9 3/10

Therefore, the value of the third number is 93/10 or 9 3/10.

Learn to solve more equations here: brainly.com/question/14686792

#SPJ1

The integer that can be used to represent the difference in the two temperatures is -37°.

From the information, the temperature in Anchorage, Alaska was -13 degrees and on the same day, there was a Polar Vortex over the northeast, and there was a recorded temperature of -24 degrees in Caribou, Maine.

Therefore, the integer can be used to represent the difference in the temperatures will be:

= -13 + (-24)

= -13 - 24

= -37

The difference in temperature is -37°.

Learn more about temperature on:

brainly.com/question/24746268

#SPJ1

The amount of money that Britta will pay is; SEK2500

Let the amount paid by Britta scabetala be x

Now, we are told that Britta scabetala half as much as Agda. Thus;

Amount paid by Agda = 2x

Now, Cornelia must pay SEK 1,500 less than Britta. Thus,

Amount paid by Cornelia = x - 1500

Agda must pay five times as much as Cornelia. Thus;

2x = 5(x - 1500)

2x = 5x - 7500

5x - 2x = 7500

3x = 7500

x = 7500/3

x = SEK2500

Read more about Algebra Word Problems at; https://brainly.com/question/13818690

#SPJ1

Answer:5.3ft

Step-by-step explanation: 1. find the sum of the rest of the sides

14.9+19.9+6.5+39.8+6.5+14.9+14.9=117.4

2. subtract 117.4 from 122.7 to find the missing side length

122.7-117.4=5.3

Answer:

Step-by-step explanation:

Answer:

In the solution below

Step-by-step explanation:

According to the question.

$257.62 + $18.19 × 2 + $11.18 = $305.18

$400 - $305.18 = $154.82

$154.82 ÷ $77.41 = 2

So she can buy 2 new biking outfits

I hope this helps you

:)

Answer: x = -5

Both points have the same x value and only have different y values, meaning that the equation of the line must be x = -5.

The 8 consecutive numbers are 12, 13, 14, 15, 16, 17, 18, 19 respectively.

Algebraic expressions are simply described as arithmetic expressions that are made up of arithmetic terms, constants, variables, factors and coefficients.

These expressions are also made up of arithmetic operations which includes;

Based on the information given, we have;

x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 + x + 7 = 124

Now, collect like terms, we get;

8x + 28 = 124

8x = 124 - 28

Subtract like terms

8x = 96

To determine the value of x, make it the subject by dividing both sides by 8, we have;

8x/8 = 96/8

x = 12

Then,

x = 12

x + 1 = 13

x + 2 = 14

x + 3 = 15

x + 4 = 16

x + 5 = 17

x + 6 = 18

x + 7 = 19

Hence, the values are 12, 13, 14, 15, 16, 17, 18 and 19 respectively.

Learn more about algebraic expressions here:

https://brainly.com/question/4541471

#SPJ1

Answer:

I say b

Step-by-step explanation:

The exact area of the shaded region is: (2 - √6)/8 cm².

The area of a triangle = 1/2(base)(height).

The area of the shaded region = area of triangle ABD - area of triangle ACD.

Area of triangle ABD:

Base of triangle ABD = AD = √2/2

Height of triangle ABD = BD = √2/2

Area of triangle ABD = 1/2(√2/2)(√2/2)

Area of triangle ABD = 2/8 = 1/4 cm²

Area of triangle ACD:

Base of triangle ACD = AD = √2/2

Height of triangle ACD = CD = √3/2

Area of triangle ACD = 1/2(√2/2)(√3/2)

Area of triangle ACD = √6/8 cm²

Area of the shaded region = 1/4 - √6/8

Area of the shaded region = (2 - √6)/8 cm²

Learn more about the area of a shaded region on:

https://brainly.com/question/27411593

#SPJ1

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"m" proportional to }r^2}{ {\Large \begin{array}{llll} m=kr^2 \end{array}}}\qquad \textit{we also know that} \begin{cases} r=2\\ m=14 \end{cases}\implies 14=k(2)^2 \\\\\\ \cfrac{14}{2^2}=k\implies \cfrac{7}{2}=k\hspace{15em}\boxed{m=\cfrac{7}{2}r^2} \\\\\\ \textit{when r=12, what is "m"?}\qquad m=\cfrac{7}{2}(12)^2\implies m=504[/tex]

When camera has an angle of depression of 50° to a point on the floor and the other camera has an angle of depression of 60° to the same point calculate the height of the gym, the height of gym is 7.05 m

When the observer is above the object they are looking at, an angle of depression is created. An angle below the horizontal line drawn with the level of the observer's eye and the line connecting the object with the observer's eye is created when an observer looks at an object that is placed at a distance lower than the observer.

Lets name the points on the triangles as A, B ,C

m∠ABC = 180° - 60° + 50°

             = 70°

Now, the sine theorem defines

[tex]\frac{AB}{sin50\textdegree}[/tex] = [tex]\frac{AC}{sin70\textdegree}[/tex] = [tex]\frac{10}{sin70\textdegree}[/tex]

AB = 8.15 meters

Now using the area of triangle formula

area∠ABC = 1/2 × AB × AC × sin∠BAC = 1/2 × h × AC

⇒ 1/2 × 8.15 × 10 × √3/2 = 1/2 × h × 10

⇒ 8.15 × √3/2 = h

⇒ h = 7.05

Learn more about angle of depression

https://brainly.com/question/17193804

#SPJ9

When calculating the modulus of a negative number, the minus sign is disregarded. The expression of |9-5| - |5-9| exists 0.

A modulus function is a function that determines a number or variable's absolute value. It generates the size of the variable count. A function with absolute values is another name for it. No matter what input was provided to this function, the outcome is always favorable.

When calculating the modulus of a negative number, the minus sign is disregarded. The modulus of a number is denoted by writing vertical lines around the number.

Let the expression be |9-5| - |5-9|

Subtracting the numbers, we get

|9-5| - |5-9| = |4| - |-4|

simplifying the above expression, we get

= 4 - 4

= 0

Therefore, the correct answer is option D. 0.

The complete question is:

Simplify |9-5| - |5-9|

A. -8

B. -6

C. -4

D. 0

E. 8

To learn more about modulus function refer to:

https://brainly.com/question/25971887

#SPJ13

The likelihood that someone has received a vaccination equals one minus the likelihood that no one has. The likelihood that a randomly chosen individual in a large population IS NOT immunized = 1 - 0.54 = 0.46.

The likelihood that the three randomly chosen individuals are not all immunized is 0.463, hence the likelihood that at least one of them has been immunized is 1 - 0.463.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.

To learn more about probability from given link

https://brainly.com/question/24756209

#SPJ10

Based on the mass of the molecules of oxygen that the scientist determined, the number of significant digits in the solution is 2.

When counting the significant figures in a number, the first rule is that any digit that isn't a zero would be considered a significant digit.

Zeros that are trailing in a number however, and are not considered decimals, are not counted as significant digits. This means that both the 2 number 2s in the figure will be significant figures.

The three zeros are trailing but not decimals so they are not considered significant. This means that in the mass of oxygen according to the scientist, has only 2 significant figures.

Find out more on significant figures at https://brainly.com/question/24491627

#SPJ1

The most appropriate choice for profit and loss will be given by

Uncle Ben will feed his cows 2 pounds of grain supplement.

What is profit and loss?

If the selling price is more than the cost price, then the difference between the selling price and the cost price will give the profit.

If the selling price is less than the cost price, then the difference between the selling price and the cost price will give the loss.

Here,

For 1 pound

Cost price of grain supplement  = [tex]0.70 \times 1[/tex]

                                                      = $[tex]$0.70[/tex]

Selling price of milk = [tex]0.20 \times 5[/tex]

                                 = $[tex]1[/tex]

Profit = $([tex]1 - 0.70[/tex])

         = $0.30

For 2 pounds

Cost price of grain supplement  = [tex]0.70 \times 2[/tex]

                                                      = $[tex]$1.40[/tex]

Selling price of milk = [tex]0.20 \times 9[/tex]

                                 = $[tex]1.80[/tex]

Profit = $([tex]1.80 - 1.40[/tex])

         = $0.40

For 3 pounds

Cost price of grain supplement  = [tex]0.70 \times 3[/tex]

                                                      = $[tex]$2.10[/tex]

Selling price of milk = [tex]0.20 \times 12.3[/tex]

                                 = $2.46

Profit = $([tex]2.46 - 2.10[/tex])

         = $0.36

For 4 pounds

Cost price of grain supplement  = [tex]0.70 \times 4[/tex]

                                                      = $[tex]$2.80[/tex]

Selling price of milk = [tex]0.20 \times 15.5[/tex]

                                 = $3.1

Profit = $([tex]3.1 - 2.80[/tex])

         = $0.30

For 5 pounds

Cost price of grain supplement  = [tex]0.70 \times 5[/tex]

                                                      = $[tex]$3.50[/tex]

Selling price of milk = [tex]0.20 \times 18[/tex]

                                 = $3.60

Profit = $([tex]3.60 - 3.50[/tex])

         = $0.10

For 6 pounds

Cost price of grain supplement  = [tex]0.70 \times 6[/tex]

                                                      = $[tex]$4.20[/tex]

Selling price of milk = [tex]0.20 \times 20[/tex]

                                 = $4

Loss = $([tex]4.20 - 4[/tex])

         = $0.20

For 7 pounds

Cost price of grain supplement  = [tex]0.70 \times 7[/tex]

                                                      = $[tex]4.90[/tex]

Selling price of milk = [tex]0.20 \times 21.5[/tex]

                                 = $[tex]4.30[/tex]

Loss = $([tex]4.90 - 4.30[/tex])

         = $0.60

For 8 pound

Cost price of grain supplement  = [tex]0.70 \times 8[/tex]

                                                      = $[tex]$5.60[/tex]

Selling price of milk = [tex]0.20 \times 22.5[/tex]

                                 = $[tex]4.50[/tex]

Loss = $([tex]5.60 - 4.50[/tex])

         = $1.10

For 9 pounds

Cost price of grain supplement  = [tex]0.70 * 9[/tex]

                                                      = $[tex]6.30[/tex]

Selling price of milk = [tex]0.20 * 23[/tex]

                                 = $[tex]4.60[/tex]

Loss = $([tex]6.30 - 4.60[/tex])

         = $1.70

Since profit from 2 pounds of grain supplement is the most, Uncle Ben will feed his cows 2 pounds of grain supplement.

To learn more about profit and loss, refer to the link:

https://brainly.com/question/19104371

#SPJ9

Complete Question

Farmer Ben knows that feeding a grain supplement to his cows will produce more milkaccording to the following schedule:

ignoring all other issues, how many pounds of grain supplement should farmer ben feed his cows if the price of milk is $0.20 per pound and the price of grain supplement is $0.70 per pound?

The table has been attached here