The amounts spent by 5 students on back to school supplies are $28.50, $25.75, $23.60, $30.20, and $25.00. Jenny spends $41.13 for her supplies. If the amount Jenny spends is included in the data, how will the mean be affected?

A) The mean decreases by $3.55
B) The mean increases by $2.42.
C) The mean increases by $2.54.
D) The mean increases by $1.55.

Answer:

No

Step-by-step explanation:

the answer is 3.

3×3×3=27.

therefore the cube root of 27 is 3.

Answer and step by step esplanation:

The perpendicular line has the slope opposite and inverse, in our case [tex]-4 \rightarrow +\frac14[/tex]

Line passing through the point will have then equation - using the point-slope form [tex]y-y_0=m(x-x_0)[/tex]

[tex]y-5=\frac14 (x-(-5))\\y-5=\frac14(x+5)[/tex]

The parallel line will have the same slope as the given line, in our case -4. Again with the point-slope equation:

[tex]y-5=-4(x-(-5)\\y-5=-4(x+5)[/tex]

Answer:

Perpendicular: y = 1/4x + 5 3/4

Parallel: y = -4x - 7

Step-by-step explanation:

Hello!

A perpendicular line would have a negative reciprocal slope, meaning you flip the sign of the slope, and the numerator and denominator.

Given our equation: y = -4x + 2, we can find the perpendicular slope by finding the negative reciprocal:

So the perpendicular slope is 1/4.

We can now solve for the y-intercept by plugging in the x and y-value of the point into the equation y = 1/4x + b:

The y-intercept is 5 3/4, so the equation of the line would be y = 1/4x + 5 3/4.

_____________________

Parallel lines have the same slope. So we can use -4 as our slope, and plug in the points to find the y-intercept.

So the equation of the parallel line would be y = -4x - 7.

Ratio remains same

[tex]\\ \rm{:}\dashrightarrow 1/2/6=9/2/x[/tex]

[tex]\\ \rm{:}\dashrightarrow x/2=27[/tex]

[tex]\\ \rm{:}\dashrightarrow x=54ft[/tex]

Answer:

100cm = 1m

Thus, one more step should be added to your working to arrive at the final answer:

Perimeter

= 10m 160cm

= 11m 60cm

This is because 160cm= 100cm +60cm, which is also equivalent to 1m 60cm.

Alternative working:

Convert all the units to cm first.

[tex]\boxed{1 \: m= 100 \: cm}[/tex]

Length

= 5m 55cm

= 300cm +55cm

= 355cm

Breadth

= 2m 25cm

= 200cm +25cm

= 225cm

Perimeter

= 2(length +breadth)

= 2(355 cm +225 cm)

= 2(580 cm)

= 1160 cm

= 11m 60cm

From the second last step to the last step, you could divide 1160 by 100 to find how many meters are there. You would get a quotient of 11 and a remainder of 60. Since this 60 cannot be changed into meters as a whole number, we can leave it as 11m 60cm. Otherwise, it is also correct to leave it as 1160cm or 11.6m unless otherwise stated.

However, 10m 160cm is not preferred since the conversion of cm to m is done partially, as the 160 cm can still be further simplified.

Answer:

Step-by-step explanation:

Since the mean is also average

You

1) Add all your values

    -----18+19+21+22+25+27+29+30+31+34

2) Then, divide [256] by how many points/numbers you have

    -----256 / 10

Your average/mean is 25.6

Answer: Tamara can make 24 servings of hot cocoa.

Step-by-step explanation:

3/4 ÷ 1/32= 3/4*32 =3*8= 24

Hopefully, that makes sense and helps you out!

Answer:

3(5y) or 1(15y)

Step-by-step explanation:

Hopefully this helps you! Have a great night/day!

Step-by-step explanation:

a) 8/7

hope it helps u...

Answer:

Infinitely many

Step-by-step explanation:

There are many solutions because 0=0.

Answer:

7

C is one angle on Triangle

F point is between A and D

CF line is passes through the point P which is center

then From CP=2PF

CF=2x

PF=x

2x+x=21

3x=21

x=7=PF

Answer:

Scale factor is 1/4

The scale factor is 1/4.

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii.

Given:

As per the figure

C'D' = 3 units

and, CD = 12 units

So, Scale factor = Dimension of the new shape / Dimension of the original shape.

=3/12

=1/4

Hence, the scale factor is 1/4.

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#SPJ2

Answer:

C. 16 pints

Step-by-step explanation:

1 quart equals to 2 pints

Answer:

answer is 2 pints

Step-by-step explanation:

2 x 4 is 8

Answer:

$4.55

Step-by-step explanation:

banana: 80¢ = $0.80

apple: 25¢ = $0.25

mango: 60¢ = $0.60

4 bananas, 3 apples, and a mango =

= 4 × $0.80 + 3 × $0.25 + 1 × $0.60

= $4.55

Answer:

36,000-28,500

=7,500 decrease per year

Answer:

14

Step-by-step explanation:

2^3 is 8. 8+4(1.5) is 8+6 is 14.

Answer:

Step-by-step explanation:

Equation that we have been provided with :

And the value of m is 1.5. So we would be simply substituting the value of m in the equation given above and divide it by 2 as per the demand of the question.

[tex]: \longmapsto \: \sf{\dfrac{2 {}^{3} \: + \: 4 \: (1.5)}{2}\: }[/tex]

[tex]: \longmapsto \: \sf{\dfrac{(2 \times 2 \times 2) \: + \: 4 \: (1.5)}{2}\: }[/tex]

[tex]: \longmapsto \: \sf{\dfrac{(4 \times 2) \: + \: 4 \: (1.5)}{2}\: }[/tex]

[tex]: \longmapsto \: \sf{\dfrac{8 \: + \: 4 \: (1.5)}{2}\: }[/tex]

[tex]: \longmapsto \: \sf{\dfrac{8 \: + \: 4 \: \times (1.5)}{2}\: }[/tex]

[tex]: \longmapsto \: \sf{\dfrac{8 \: + \: 6}{2}\: }[/tex]

[tex] : \longmapsto \: \sf{\dfrac{14}{2}\: }[/tex]

[tex]: \longmapsto \: \cancel{\sf{\dfrac{14}{2}\: }}[/tex]

[tex]: \longmapsto \: \red{\bf{7}}[/tex]

Answer:

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

If y = 36, that means the original y = 18 was multiplied by 2. So, we have to multiply x = 2 by 2 as well.

2 * 2  = 4, so x = 4

The constant rate of continuous growth, k, for this population is equal to 2.11935%. And the population  will reach 250,000 people in 24.36 years.

For solving this question, you should apply the Population Growth Equation.

The formula for the Population Growth Equation is:

      [tex]P_f=P_o*(1+\frac{R}{100} )^t[/tex]        

Pf= future population

Po=initial population

r=growth rate

t= time (years)

STEP 1 - Find the constant rate of continuous growth, k, for this population.

For this exercise, you have:

Pf= future population= 185,000 in 2020.

Po=initial population =150,000 in 2010.

r=growth rate= ?

t= time (years)=2020-2010=10

Then,

[tex]P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 185000=150000\cdot \left(1+\frac{R}{100}\:\right)^{10}\\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{185000}{150000} \\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{37}{30}\\ \\ R=100\sqrt[10]{\frac{37}{30}}-100=2.11935\%[/tex]

STEP 2 - Find the t  for population 250,000 people.

[tex]P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 250000=150000\cdot \left(1+\frac{2.11935}{100}\:\right)^{10}\\ \\ \left(1+\frac{2.11935}{100}\right)^{10}=\frac{250000}{150000} \\ \\ \left(1+\frac{2.11935}{100}\right)^t=\frac{5}{3}\\ \\ t\ln \left(1+\frac{2.11935}{100}\right)=\ln \left(\frac{5}{3}\right)\\ \\ t=\frac{\ln \left(\frac{5}{3}\right)}{\ln \left(\frac{102.11935}{100}\right)}\\ \\ t=24.36[/tex]

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The equation computed shows that the sum of the complex number is D. 13 + 12i.

From the information given, the thing that we have to do is to simply collect the like terms and solve the equation.

Therefore, the sum of (3 + 5i) + (10 + 7i) will be calculated thus:

= (3 + 5i) + (10 + 7i)

= 3 + 10 + 5i + 7i

= 13 + 12i

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Answer:

The answer to your question "If the diameter of the small pizza is 8 inches, what’s the pizza’s area in square inches?

" is 50.3

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The required additional information required to prove the Triangles congruent are :

[tex]\qquad \sf  \dashrightarrow \: 1. \: X V= FD[/tex]

The Triangles will be congruent by HL congruency.

[tex]\qquad \sf  \dashrightarrow \: 2. \: MH = MI[/tex]

The Triangles are congruent by LL congruency.

[tex]\qquad \sf  \dashrightarrow \: 3. \: \angle EDC = \angle VUC[/tex]

The Triangles are congruent by HA congruency.

[tex]\qquad \sf  \dashrightarrow \: 4. \: \angle J = \angle C[/tex]

The Triangles are congruent by LA congruency.

The map is an illustration of parallel lines and a transversal

Angles X and 75 are supplementary angles.

So, we have:

X = 180 - 75

Subtract

X = 105

Angles Y and 75 are corresponding angles.

So, we have:

Y = 75

Angles X and Z are alternate exterior angles.

So, we have:

Z = X

This gives

Z = 105

Hence, the measures of angles X, Y and Z are 105, 75 and 105 degrees respectively

Read more about angle measures at:

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Based on the definition of the special angles formed by a transversal and parallel lines, the measures of angles are:

Some of the angle measures formed are:

Thus:

X = 180 - 75 = 105° (supplementary angles)

Y = X = 105° (corresponding angles)

Z = X = 105° (alternate exterior angles)

Therefore, based on the definition of the special angles formed by a transversal and parallel lines, the measures of angles are:

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Answer:

7/5 times 15 is greater than 15

Step-by-step explanation:

I divided 7 over 5 and it came out to be 1.4, then I multiplied 1.4 to 15 and got 21.

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

Here, [tex]\frac{3}{4}v[/tex] tells us that the vector [tex]v[/tex] is impacted by a scale factor of [tex]\frac{3}{4}[/tex], so we are doing scalar multiplication basically for both components of the vector. This only impacts the magnitude of the vector and not its direction. If we were to assume that [tex]v=\langle4,8\rangle[/tex], then [tex]\frac{3}{4}v=\langle\frac{3}{4}(4),\frac{3}{4}(8)\rangle=\langle3,6\rangle[/tex]. Therefore, this matches vector [tex]u[/tex], so D is the correct answer

Problem 2

Cannot be able to read as the text is too small

Problem 3

Cannot be able to read as the text is too small

Problem 4

[tex]-7u=\langle-7(8),-7(-4)\rangle=\langle-56,28\rangle=-56i+28j[/tex], so A is correct. Remember to use scalar multiplication for each component.

Problem 5

[tex]r-s=\langle5-9,11-(-8)\rangle=\langle-4,19\rangle[/tex], so B is correct. Remember to subtract the horizontal and vertical components seperately.

The exchange rate that She will receive is an algebraic expression

The exchange rate that Salma will receive in dollars per euro is [tex]\frac{12x - 9}{4x -6}[/tex]

The amount of dollars with Salma is given as:

[tex]Dollar = \frac{12x^2 + 15x - 18}{2x^2 + 14x + 20}[/tex]

The amount of Euro she can buy is:

[tex]Euro = \frac{2x^2 -x-3}{x^2 + 6x +5}[/tex]

Let the exchange rate be r.

So, we have:

[tex]Dollar * \frac 1r = Euro[/tex]

The equation becomes

[tex]\frac{12x^2 + 15x - 18}{2x^2 + 14x + 20}* \frac 1r = \frac{2x^2 -x-3}{x^2 + 6x +5}[/tex]

Factorize the expressions

[tex]\frac{3(x + 2)(4x - 3)}{2(x + 5)(x +2)}* \frac 1r = \frac{(x +1)(2x -3)}{(x + 5)*x + 1)}[/tex]

Cancel out the common factors

[tex]\frac{3(4x - 3)}{2}* \frac 1r = \frac{(2x -3)}{1}[/tex]

Make r the subject

[tex]\frac 1r = \frac{2(2x -3)}{3(4x - 3)}[/tex]

Expand

[tex]\frac 1r = \frac{4x -6}{12x - 9}[/tex]

Make r the subject

[tex]r = \frac{12x - 9}{4x -6}[/tex]

Hence, the exchange rate is [tex]\frac{12x - 9}{4x -6}[/tex]

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Answer:

Explanation:

To find odd numbers, we have to use n + n + 2

For example let the number be 1, the 1 + 2 = 3, 3 + 2 = 5.

Therefore, used: n + n + 2 expression and it should be equals or at least 76. so finally n + n + 2 ≥ 76  applies.

Answer:

354.20 + 50.60w ≥ 1,099.51

Step-by-step explanation:

The speed of the river current is 11.5 km/h.

Speed is the ratio of total distance travelled to total time taken. IT is given by:

Speed = distance / time

Let b represent the speed of the current and t represent the time, hence:

(15 + b)= 36/t

t = 36 / (15 + b)

Also:

(15 - b)= 36/(t + 9)

t = [36 - 9(15 - b)]/(15 - b)

Hence:

36 / (15 + b) = [36 - 9(15 - b)]/(15 - b)

b = 11.5 km/h

The speed of the river current is 11.5 km/h.

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RSM VERIFIED ANSWER

this answer was written by an RSM student, and has been confirmed by the portal

Answer:

3km/hr

not sure how to do it i just copied off my rsm teacher, but its right lol

also would rly appreciate brainliest but i know i didnt have an explaination. I would also really appreciate if other users would thank and rate this answer so people looking at a later date would know its reliable