Addison earned a score of 510 on Exam A that had a mean of 550 and a standard
deviation of 40. She is about to take Exam B that has a mean of 26 and a standard
deviation of 5. How well must Addison score on Exam B in order to do equivalently
well as she did on Exam A? Assume that scores on each exam are normally
distributed.

Answer:

The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.

Step-by-step explanation:

The line [tex]y = x + 1[/tex] has a slope 1. By Analytic Geometry, the slope of the line perpendicular to the original line is determine by the following formula:

[tex]m_{\perp} = -\frac{1}{m}[/tex] (1)

Where:

[tex]m[/tex] - Slope of the original line.

[tex]m_{\perp}[/tex] - Slope of the line perpendicular to the original line.

If we know that [tex]m = 1[/tex], then the new slope is:

[tex]m_{\perp} = -\frac{1}{1}[/tex]

[tex]m_{\perp} = -1[/tex]

A line is defined by the following expression:

[tex]y = m\cdot x + b[/tex] (2)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]m[/tex] - Slope.

[tex]b[/tex] - Intercept.

If we know that [tex](x,y) = (4,1)[/tex] and [tex]m = -1[/tex], then the intercept of the line perpendicular to the original line:

[tex]b = y - m\cdot x[/tex]

[tex]b = 1+4[/tex]

[tex]b = 5[/tex]

The intercept of the line perpendicular to the line [tex]y = x + 1[/tex] is 5.

Answer:

75.36 mi

Step-by-step explanation:

Given :-

We know :-

→ Circumference = 2 π r

→ C = 2 * 3.14 * 12 mi

→ C = 75.36 mi

Answer:

Step-by-step explanation:

circumference of a circle=2πr

=2*3.14*12

=24*3.14

=75.36 mi

The Answer is:

B) -3/2

Answer:

B.

Step-by-step explanation:

The ratio of Claire's songs to her mother's songs = 3 : 2

A.

3 : 2 = 3/2

9 : 6 = 9/6 = 3/2

12 : 10 = 12/10 = 6/5

B.

3 : 2 = 3/2

6 : 4 = 6/4 = 3/2

15 : 10 = 15/10 = 3/2

C.

3 : 2 = 3/2

4 : 3 = 4/3

5 : 4 = 5/4

D.

3 : 2 = 3/2

4 : 6 = 4/6 = 2/3

20 : 30 = 20/30 = 2/3

The table which shows the correct ratio and two equivalent ratios is B

Answer:

1000

Step-by-step explanation:

2x²(x - 5) ÷ 10x

x = 10

2(10)²(10 - 5) ÷ 10(10)

20²(5) ÷ 100

100² ÷ 100

100000 ÷ 100

1000

Answer:

14 m³

Step-by-step explanation:

the volume of pyramid = ⅓× base area × height

= ⅓ × (½×7/3 × 15/2) × 24/5

= (7×15×24)/(3×2×3×2×5)

= 2520/180

= 14 m³

Answer:

Step-by-step explanation:

4 days 9 hours 40 minutes

Answer: I think E

Step-by-step explanation:

Answer:

True i think

Step-by-step explanation:

Answer:

D 5.4

Step-by-step explanation:

The pythagoras theorem states that a² + b² = c²

2² + 5² = ?²

4 + 25 = ?²

29=?²

? =

[tex] \sqrt{29} [/tex]

? = 5.4 rounded 2 sig fig one decimal place

Answer:

[tex]y-9=17(x+7)[/tex]

Step-by-step explanation:

Hi there!

What we know:

What we need to know:

Our equation so far (plugging in the point (-7,9):

[tex]y-9=m(x-(-7))[/tex]

[tex]y-9=m(x+7)[/tex]

Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (-8,-8) and (-7,9)

[tex]=\frac{-8-9}{-8-(-7)}\\=\frac{-8-9}{-8+7}\\=\frac{-17}{-1}\\= 17[/tex]

Therefore, the slope of the line is 17. Plug this into [tex]y-9=m(x+7)[/tex]:

[tex]y-9=17(x+7)[/tex]

I hope this helps!

Answer: 625 miles

Step-by-step explanation:

100-40=60

so she has 60% for her distance so lets munis 40 from it and add 250 to 250

250+250=500

60-40=20

20 is half of 40 so whats half of 250? its 125

so she drove 625 miles for her road trip 2 and 1/2 a day

Answer:

Option A is correct

Step-by-step explanation:

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

Answer:

-16

Step-by-step explanation:

-16... using d = b²-4ac

Answer:

the discriminant is –16

hope this helps!

Answer:

0.025 liters

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

0.025 liters

Step-by-step explanation:

Answer:

0.6 cm

Step-by-step explanation:

she divided the the height of the tree 500, so the same factor has to be applied to everything else

3m * 1/500 = 0.6cm

Answer:

795.597,5

Step-by-step explanation:

let's consider the fact that Alex worked for the vet for 10 years. First year is off with $78,500 since that was his first payment, now there are nine years left. With some math operations we find that 1,5% in this problem is equal to 1.177,5$. So if we take that number and put it together with Alexs' first payment we get from now and on his yearly pay, which is $79.677,5. At last we take that number multiply it by 9 and add all the numbers together (78,500+79.677,5(×9)= 795.597,5)

The total of his earnings over the 10 years is $236677.5.

The percentage increase formula is used to compare the growth in a quantity from the initial value to its final value, over a period of time.

Given

P = $78,500

Interest rate = 1.5 %

Time t = 10 years

Total earning = P[tex](1+\frac{r}{100} )^{t}[/tex]

A = 78500[tex](1+\frac{1.5}{100} )^{t}[/tex]

A = 78500[tex](\frac{1015}{100} )^{10}[/tex]

A = 78500[tex](\frac{230}{200} )^{10}[/tex]

A = $236677.5

Hence, the total of his earnings over the 10 years is $236677.5.

Find out more information about interest rate here

https://brainly.com/question/7279636

#SPJ2

Answer:

Price of one 25'-tape measure = $11

Price of one chalk line reels = $6

Step-by-step explanation:

Let t = price of one 25'-tape measure, and

let c = price of one chalk line reel

"Shelly purchased 6 25'-tape measures and 2 chalk line reels for $78."

6t + 2c = 78

"Sean purchased one 25'-tape measure and 3 chalk line reels ... for $29."

t + 3c = 29

We have a system of two equations in two variables. We will solve it with teh substitution method.

Solve the second equation for t.

t = 29 - 3c

Substitute 29 - 3c for t in the first equation.

6(29 - 3c) + 2c = 78

174 - 18c + 2c = 78

-16c = -96

c = 6

Substitute 6 for c in the second original equation.

t + 3(6) = 29

t + 18 = 29

t = 11

Answer:

Price of one 25'-tape measure = $11

Price of one chalk line reel = $6

Answer:

1.2

Step-by-step explanation:

9/5*2/3=1.2

Answer:

15.73 %

Step-by-step explanation:

Given :-

For finding% :-

→ 14/89 * 100

→ 15.73 %

Answer:

15.73% to the nearest hundredth.

Step-by-step explanation:

14/89 = 0.157303

Now multiply  by 100

This gives 15.7303 %

Answer:

20a

Step-by-step explanation:

26a+4a-10a=30a-10a=20a

Answer:

20a

Step-by-step explanation:

26a+4a-10a

since they are like terms u can add and subtract them

=30a-10a

=20a

Answer:

a) x=18

b) 36 (2*18)

c) 54 (3*18)

d) I'm not exactly sure what it's asking for, so I don't know

Step-by-step explanation:

triangle sum theorem means the sum of every triangle is 180 degrees

so we can make this equation: 180 = 90 + 2x + 3x

solve and you get 18.

Answer:

7/10 > 17/25

Step-by-step explanation:

17/25  and 7/10

The common denominator is 50

17/25 *2/2 =34/50

7/10 *5/5 = 35/50

35 > 34 so

35/50 > 34/50

7/10 > 17/25

Answer:

y = 2*x + 4

Step-by-step explanation:

We know that a linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

So, here we know that our line must pass through the points (-2,0) and (0, 4)

Then the slope of this line is:

a = (4 - 0)/(0 - (-2))

a = 4/2 = 2

Then our line is something like:

y = 2*x + b

Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.

0 = 2*(-2) + b

0 = -4 + b

4 = b

Then the equation for our line is:

y = 2*x + 4

Answer:

if im not mistaken is d hope you get it right

Answer:

D.5/4r+6p

Step-by-step explanation:

hula kong hahha

Answer:

A converse is the result of reversing its two constituent statements.

Example, P-Q. Converse would be Q-P

Answer:

Sabemos que el costo del alquiler es 100 pesos diarios, más 0.30 pesos por kilómetro.

Entonces, solo por alquilar el coche por un día, hay que pagar 100 pesos.

Si además lo conduces x kilómetros, tendrás que pagar x veces 0.30 pesos.

Entonces el costo diario, en pesos, será:

C(x) = 100 + 0.30*x

Para graficar esta ecuación simplemente se deben encontrar dos pares:

(x, C(x)) en un eje de coordenadas, y luego conectarlos con una línea.

Por ejemplo, si tomamos:

x = 0

C(0) = 100 + 0.30*0 = 100

entonces tenemos el par (0, 100)

si x = 10

c(10) = 100 + 0.30*10 = 100 + 3 = 103

entonces tenemos el par (10, 103)

Ahora podemos graficar esos dos puntos y conectarlos con una línea, como en el ejemplo de abajo.

b)  

También queremos conocer el costo diario si se han hecho un total de 300km.

Entonces simplemente reemplazamos x por 300 en la ecuación del costo:

C(300) = 100 + 0.30*300 = 100 + 90 = 190

El costo será de 190 pesos.

El dinero total a pagar por 300 Km es de 190 pesos.

La ecuación de una recta viene dada por y = mx + c

m = pendiente

c = intersección

Así, dado que cobran 100 pesos por día más 0,30 centavos por kilómetro, podemos escribir;

y = 100 + 0,30 x

Dado también que hay un total de 300 km, ahora tenemos;

y = 100 + 0.3(300) = 190 pesos

Más información sobre la ecuación:https://brainly.com/question/22929949

Answer:

4c+5

Step-by-step explanation:

c=Christine's age

Go with me.