Anna and Lionel share $675 in the ratio 4 : 5 Lionel gives 3/5 of his share of the money to his mother. How much money does Lionel give to his mother?

Answer:

A = 13.0

Step-by-step explanation:

In the attached file

Answer:

We can replace the 'm' with the value of 'm' on the table to get the value of 't'.

Using the equation [tex]t=0.5m+15[/tex] from the first part of the question to complete the table:

[tex]t=0.5(5)+15\\\rightarrow 0.5*5 = 2.5\\t=2.5 + 15\\t=17.5[/tex]

[tex]t=0.5(15)+15\\\rightarrow 0.5 * 15 = 7.5\\t=7.5+15\\t=22.5[/tex]

Hope this helps.

Answer:

x =  ±sqrt(3/2)

Step-by-step explanation:

10x^2 - 6 = 9

Add 6 to each side

10x^2 - 6+6 = 9+6

10x^2 =15

Divide each side by 10

10x^2/10  = 15/10

x^2 = 3/2

Take the square root of each side

sqrt(x^2) = ±sqrt(3/2)

x =  ±sqrt(3/2)

Answer:

  Exactly 85% of her income will go towards college savings and entertainment

Step-by-step explanation:

Kensie's college savings are 600/800×100% = 75% of her budget.

Kensie's cell phone bill is 80/800×100% = 10% of her budget.

Kensie's entertainment is 120/800×100% = 15% of her budget.

Her total of savings and entertainment is 75% +15% = 90% of her budget. Savings and entertainment do not total 85% of Kensie's budget.

Answer:

I think it’s 240

Step-by-step explanation:

Hope this helps

Answer:

approx. 11.18 ft.

Step-by-step explanation:

formula: d=√L²+W²+H²

d=√5²+6²+8²

5²+6²+8²=125

√125 ≈ 11.18 ft

d(diagonal)= 11.18ft

Answer:

[tex] E(X)= 0*0.1 +1*0.3 +2*0.4 +3*0.2 [/tex]

And adding the values we got:

[tex] E(X) =0 +0.3 +0.8 +0.6 = 1.7[/tex]

So then the expected value for this random variable would be [tex] E(X) =1.7[/tex]

Step-by-step explanation:

For this case we have the following probability distribution given:

X       0     1      2     3

P(X)  0.1  0.3  0.4  0.2

And for this case the expected value with the following formula:

[tex] E(X) =\sum_{i=1}^n X_i P(X_i)[/tex]

And replacing we have:

[tex] E(X)= 0*0.1 +1*0.3 +2*0.4 +3*0.2 [/tex]

And adding the values we got:

[tex] E(X) =0 +0.3 +0.8 +0.6 = 1.7[/tex]

So then the expected value for this random variable would be [tex] E(X) =1.7[/tex]

Answer:

the amount added to the cost price of goods to cover overhead and profit.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Meaning in my own words: The amount applied to the depreciation and production factor price of the product.

Example: Sells for $126 costs $100. Price is increase.

Synonyms for markup: increase, Profit

Hope this helps.

Answer:The correct answer for the given mathematics question above would be f < g. The interval wherein the value of (f-g)(x) is negative is f < g. A function is negative on intervals when the graph line lies below the x-axis. On the other hand, a function is positive on intervals when the graph line lies above the x-axis. 

Step-by-step explanation:

Answer:

See explanation below.

Step-by-step explanation:

To make use of the tools they give you, start at the point (-5, -2) which you know is a point the line goes through, then draw a line that goes towards the right following the rule given by the slope "1/2" (rise/run) which means that every 2 units to the right, you go one unit up. so from the point -5 in x, you go to the point -3 in x, and from -2 in y you move up one unit to -1

Therefore the line joins (-5, -2) to the point (-3, -1)

Answer:

B-91%

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: arriving home after 7 p.m.

Event B: getting home by bus.

When he chooses to get home by bus, he arrives home after 7 p.m. 25 percent of the time.

This means that [tex]P(A|B) = 0.25[/tex]

Because the bus is cheaper, he uses the bus 70 percent of the time.

This means that [tex]P(B) = 0.7[/tex]

Probability of getting home after 7 p.m.

70% of the time he uses bus, and by bus, he arrives arrives home after 7 p.m. 25 percent of the time.

100 - 70 = 30% of the time he uses the car, and by car, he arrives home after 7 p.m. 6 percent of the time.

So

[tex]P(A) = 0.7*0.25 + 0.3*0.06 = 0.193[/tex]

What is the approximate probability that Matthew chose to get home from work by bus, given that he arrived home after 7 p.m.?

[tex]P(B|A) = \frac{0.7*0.25}{0.193} = 0.9067[/tex]

Rouding up, 91%.

So the correct answer is:

B-91%

Answer:

50

Step-by-step explanation:

[tex]p - 20 = 30 \\ adding \: 20 \: both \: sides \\ p - 20 + 20 = 30 + 20 \\ p = 50[/tex]

Answer:

50

Step-by-step explanation:

50-20=30

Answer:

The constant of proportionality is k

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

First lets find g(2) because thats inside the f equation.

g(x) = 2x-x^3

g(2) = 2(2) - (2)^3

g(2) = 4 - 8

g(2) = - 4

So now we are finding

f(g(2)) => f(-4)

f(x) = x^2 - 7

f(-4) = (-4)^2 - 7

Remember, because the square is outside the parentheses due to us plugging in a value, it becomes positive

f(-4) = 16 - 7

f(-4) = 9

Answer:

A) (-2,0) and (6,0)

B) (0,-12)

C) (2,-16)

Step-by-step explanation:

In the graph you see below, you can tell that the two x intercepts are at (-2,0) and (6,0), while the y intercept is at (0,-12). You can also see that the vertex is at (2,-16). Hope this helps!

The x intercept will be ( -2,0 ) and ( 6,0 ) , y intercept will be ( 0, -12 ) and vertex will be at ( 2 , -16 ).

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

Given the function,

f(x)=x²-4x-12

A) x-intercept;

For the x-intercept, the value of y or f(x) will be 0 so.

0 = x² -4x -12 ⇒ x = -2 , 6

So

x-intercept will be ( -2,0 ) and ( 6,0 ).

B) y-intercept

At the y-intercept the value of x will be 0 so

f(x) = -12

So

The y-intercept will be ( 0, -12 ).

C) Vertex

For vertex the slope will be 0 so

f'(x) = 0 ⇒ 2x - 4 = 0 ⇒ x = 2

The value of y at x = 2 will be

f(2) = -16

so

vertex will be at ( 2, -16 ).

For more about the function

brainly.com/question/23712366

#SPJ2

Answer: 40°

Step-by-step explanation: angle XYW is 50°.XYW is made up of two angles XYZ and ZYW

So, XYZ+ZYW= XYW (equation 1)

Given XYZ= 10° and XYW= 50°

10°+ZYW= 50° (substituting the values of equation 1)

ZYW= 50-10

ZYW= 40°

PLEASE RATE 5 STARS AND VOTE AS BRAINLIEST:)

(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)(^o^)

Answer:

If you were to write that in an expression it would be 4m-7

Step-by-step explanation:

I think this is what you're looking for...hope it helps :)

Answer:

1.5

Step-by-step explanation:

5/8 + 7/8= 1.5 or 1  1/2

Answer:

Read below.

Step-by-step explanation:

First fridge: [tex]\frac{8}{8} -\frac{5}{8} =\frac{3}{8}[/tex]

Second fridge: [tex]\frac{8}{8} -\frac{1}{8} =\frac{7}{8}[/tex]

[tex]\frac{7}{8} +\frac{3}{8} = \frac{10}{8} = 1 \frac{2}{8}=1\frac{1}{4}[/tex]

Combined [tex]1 \frac{1}{4}[/tex] fridge space is left.

To find the total multiply the sale price by 1  + tax rate.

Total = 20 x 1.05

Total = $21.00

Answer:

A. 9 miles

Step-by-step explanation:

if you flip one of the sides to be to be diagonal then it is the same length as the road.

Answer:

Step-by-step explanation:

Make sure that all words are spelled correctly.

Try different keywords.

Try more general keywords.

Try fewer keywords.

Answer:

60000

Step-by-step explanation:

8572x7= 60004...

Rounded to the nearest 10 (Which I assume you wanted to happen) is: 60000

[If I am wrong I am very sorry, please message me]

Answer:

Step-by-step explanation:

Regression analysis is a statistical method that is used to examine the relationship between two or more variables.

There are many types of regression analysis which can be used to  examine the influence of one or more independent variables on a dependent variable.

to carry out regression analysis the analyst must carry out the following

Some of the various types of regression models are

The things that should be done before performing a regression analysis include:

It should be noted that a regression analysis simply refers to a statistical method which examines the relationship between two or more variables.

To do a regression analysis, plot the given data or information graphically and then obtain the line of best fit.

Learn more about regression on:

https://brainly.com/question/25987747

Answer:

C                      

Step-by-step explanation:

Answer:

(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 41  

    Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 41

(b) The value of z test statistics is 1.08.

(c) We conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

Step-by-step explanation:

We are given that in a random sample of 40 such periods from Spanish colonial times, the sample mean is x¯ = 47.0. Previous studies of sunspot activity during this period indicate that σ = 35.

It is thought that for thousands of years, the mean number of sunspots per 4-week period was about µ = 41.

Let [tex]\mu[/tex] = mean sunspot activity during the Spanish colonial period.

(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] [tex]\leq[/tex] 41     {means that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] > 41     {means that the mean sunspot activity during the Spanish colonial period was higher than 41}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

                            T.S. =  [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]  ~ N(0,1)

where, [tex]\bar X[/tex] = sample mean = 47

            σ = population standard deviation = 35

            n = sample of periods from Spanish colonial times = 40

So, the test statistics  =  [tex]\frac{47-41}{\frac{35}{\sqrt{40} } }[/tex]

                                      =  1.08

(b) The value of z test statistics is 1.08.

(c) Now, the P-value of the test statistics is given by;

                P-value = P(Z > 1.08) = 1 - P(Z < 1.08)

                              = 1 - 0.8599 = 0.1401

Since, the P-value of the test statistics is higher than the level of significance as 0.1401 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean sunspot activity during the Spanish colonial period was lesser than or equal to 41.

Answer:

B.

Step-by-step explanation:

In the attached file

Answer:

The explanation below should guide you to solve it's

Step-by-step explanation:

x2 + y2 - 14x -18y +105 =0

Now the standard form a the equation of a circle is

(X-Xo)2 + (y-yo)2 = r2

The above expressions becomes

x2- 14x + (-14/2)2 - (- 14/2)2 + y2 -18y + (-18/2)2 - (-18/2)2 + 105 =0

The above manipulation does not alter the equation and it's a way of forming squares of a quadratic equation.

(x - 7)2 + (y - 9)2 -49 - 81 + 105 = 0

(x - 7)2 + (y - 9)2 -130 + 105 = 0

(x - 7)2 + (y - 9)2 -25 = 0

(x - 7)2 + (y - 9)2= 25

From the analysis above you can determine the centres of the circle denoted by Xo and Yo as well as the radius which is the square root of the expression at the right

Answer:

10

Step-by-step explanation:

Take 4 times 2.5 since 25 / 10 = 2.5

4 x 2.5 = 10

Answer:

x^2 +8x+12

Step-by-step explanation:

The area of the blue is

x*x = x^2

The area of the pink is

x*6 = 6x

The area of the green is

x*2 = 2x

The area of the orange is 2*6 =12

Add them together

x^2 + 6x+2x +12

Combine like terms

x^2 +8x+12

Answer:

x=35

Step-by-step explanation:

62+2x+(x+13)=180

62+2x+x+13=180

3x+75=180

3x=180-75

3x=105

x=35

Answer:

$65,000 , $50,000 and $35,000

Step-by-step explanation:

Lets us assume the CDs be C, stocks be S and Bonds be B

Given that

Total scholarship fund received = $150,000

i.e

C + S + B = $150,000 ......................... (1)

Now the each items invested percentage is given

And, the annual income from investment is $10,805

So, the next equation is

0.06C + 0.022B + 0.117S = $10,805 ....................... (2)

And, it is mentioned that

The $15,000 more in bonds than in CDs

B = C + $15,000 ........................ (3)

Now put the equation 3 in equation C is

2C + S = $135,000  ........................... (4)

0.082C + 0.117S = $10,475 ........................... (5)

Now multiply the 0.117S in equation 4

So

0.234C + 0.117S = $15,795

0.082C + 0.117S = $10,475

After solving this

0.152C = $5,320

C = CDS = $35,000

So

B = $35,000 + $15,000

B=   Bonds = $50,000

And S = Stock = $65,000

Answer:

CDs = 35000, Bonds = 50000, Stock = 65000

Step-by-step explanation:

Let amount invested in : CDs be 'C' , stock be 'S' , bonds be 'B'

As per total funds : C + B + S = 150000 [E1]

As per interest rates : 0.06C + 0.022B + 0.117S = 10805 [E2]

Given (15000 more invested in bonds than CDs :  B = C + 15000 [E3]

Putting equations : [E3] in [E2] & [E1]

C + (C+15000) + S = 150000 → 2C + 15000 + S = 150000

0.06C+0.022(C+15000)+0.117S = 10805 → 0.06C+0.022C+330+0.117S = 10805

By putting value of S from [E4] in [E5] :

0.082C + 0.117 (135000 - 2C) = 10475 → 0.082C + 15795 - 0.234C = 10475

5320 = 0.152C  → C = 5320 / 0.152 = 35000 [CDs]

B = C + 15000 = 35000 + 15000 = 50000 [Bonds]

By [E1]: 35000+50000+S = 150000 → S = 150000 - 85000 = 65000 [Stocks]

Answer:

36

Step-by-step explanation:

15 divided by 5 would = 3

3 is the cost of 1 cupcake

3 x 12 is 36

Answer:

36

Step-by-step explanation:

The pattern is times 3 so 12 times 3 is 36