In a National Achievement Test, Joshua obtained a score of 88. In the standardization of the test, μ = 78 and σ = 10. How would you communicate Joshua’s score to his parents? Explain your answer in writing

By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is [tex]\frac{5y_2+y_1}{6}[/tex]

Let point P(x,y) cuts line joining point  [tex]A(x_1,y_1)[/tex] and [tex]B(x_2,y_2)[/tex]  in [tex]m_1:m_2[/tex] then coordinate of point P is equal to [tex](\frac{m_1x_2+m_2x_1}{m_1+m_2}, \frac{m_1y_2+m_2y_1}{m_1+m_2})[/tex]

Here given that point divides line segment from J to K into a ratio 5:1

So

[tex]m_1=5\\\\m_2=1[/tex]

Now we have to fin y coordinate of point that divides the directed line segment from J to K into a ratio of 5:1

We can calculated y coordinate by applying section formula as :

[tex]\frac{5y_2+1y_1}{5+1}\\\\\frac{5y_2+y_1}{6}[/tex]

By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is [tex]\frac{5y_2+y_1}{6}[/tex]

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Answer:

6

Step-by-step explanation:

edg 2022

Step-by-step explanation:

1. d = rt

Divide t from both sides.

[tex]\frac{d}{t} = r[/tex]

2. PV = nRT

Divide P from both sides.

[tex]V = \frac{nRT}{P}[/tex]

3. [tex]\frac{x}{2} -g=a\\[/tex]

Add g to both sides.

[tex]\frac{x}{2}[/tex] = g + a

Now multiply by 2 on both sides.

x = 2(g + a)

(or, x = 2g + 2a)

4. g[tex](h+\frac{3}{2} ) = 11[/tex]

Divide g from both sides.

[tex]h + 1.5 = \frac{11}{g}[/tex]

Now subtract 1.5 from both sides.

h = [tex]\frac{11}{g} -1.5[/tex]

5. [tex]a(n-2)+5=bn\\[/tex]

n = [tex]\frac{2a-5}{a - b}[/tex]

Answer:

1073741824 is your answer.....

Answer:

Step-by-step explanation:

[tex]( {4}^{3}) ^{5} \\ = {64}^{5} \\ = 1073741824[/tex]

Step-by-step explanation:

z = b - ma

z - b = ma

z - b / m = a

The value of interest rate should be 0.085.

We have given that the interest rate is 8.5% So we have given in percentage form but we use always decimal form of interest.

To convert a percentage to a decimal, divide by 100.

So the decimal form of the 8.5% is calculated by

[tex]\frac{8.5}{100}=0.085[/tex]

Therefore the option c is correct.

Therefore we use the interest rate is 0.085.

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Answer: C 0.085

Step-by-step explanation:

The answer is:put the equation xa+yb=1 to the slope intercept form and find its slope and y-intercept.

Sample Answer: Both are correct. Using either form will result in the same equation. The slope-intercept form uses slope and a point to find the y-intercept. Point-slope form uses the slope and a point to solve for y to generate the equation.

Answer:

-20 meters below sea level

Step-by-step explanation:

as we know 0 is the water level, and since +20 is 20m above sea level, -20 is 20 m below sea level

Answer:

15 then 25 then 35 then 45

Step-by-step explanation:

10x2=20-5 is 15 same equation for the rest, 10x3 is 30-5=25,etc.

Hope this helped!

please mark me as brainlest

[tex]200 \div 8 = 25 \\ 875 \div 25 = 35[/tex]

Answer: 250

Step-by-step explanation:

Answer:

12a. 45+0.5x+2x+x = 150

12b. the three unknown sides are 30ft, 60ft, and 15ft.

Step-by-step explanation:

12a. the fence is 150ft. so

45+0.5x+2x+x = 150

12.b solve the equation from 12a.

45+0.5x+2x+x = 150

7x/2 = 105

7x = 210

x= 30

0.5(30) = 15ft

2(30)=30ft

x= 30ft

the three unknown sides are 30ft, 60ft, and 15ft.

Answer:

12a. 45+0.5x+2x+x = 150

12b. the three unknown sides are 30ft, 60ft, and 15ft.

Step-by-step explanation:

12a. the fence is 150ft. so

45+0.5x+2x+x = 150

12.b solve the equation from 12a.

45+0.5x+2x+x = 150

7x/2 = 105

7x = 210

x= 30

0.5(30) = 15ft

2(30)=30ft

x= 30ft

the three unknown sides are 30ft, 60ft, and 15ft.

Answer:

B

C

Step-by-step explanation:

[tex]x_{1} = \frac{5 + \sqrt{5}}{2} \\x_{2} = \frac{5 - \sqrt{5}}{2}[/tex]

Answer:

17

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

-2 because that is where the line intersects on the x-axis

Answer: x = 4

Step-by-step explanation: f(2) = 3(2)-1 = 5. Meaning x needs to be a value that makes g(x) = 5. You can set them up equal to each other 5 = 2x-3 and solve. You end up getting x = 4.

Answer:

im pretty sure its 1440

Step-by-step explanation:

you have to do 6 x 60 for one minute, then multiply that by 4 and you get 1440.

Answer:

I think it is 1200 feet.

Answer:

He needs to sell 12 to get exactly $30 but he needs to sell at least 13 if he wants to earn more than $30

Answer:

13 or more magazines.

[tex]30 / 2.5 = 12[/tex]

[tex]12 * 2.5 = 30[/tex]

In that case, anything equal to or greater than 13 is correct.

Answer:

5%

Step-by-step explanation:

Given the following question:

The item costs 60 dollars
The shipping costs was 3 dollars

What was the percent of 60 is 3?

To find the answer we divide the shipping fee by the cost and then multiply the answer by 100.

[tex]\frac{3}{60} =3\div60=0.05\times100=5[/tex]
[tex]=5[/tex]

3 dollars is "5 percent" of 60 dollars.

Hope this helps.

Answer:

Step-by-step explanation:

[tex]f(x)=3x^2-2x+1;f(-4)[/tex]

Let [tex]x=-4[/tex]

[tex]3(-4)^2-2(-4)+1[/tex]

[tex]48-\left(-8\right)+1[/tex]

[tex]57[/tex]

~

Answer:

X= -6. Y=4

Step-by-step explanation:

-6+4= -2

Answer:

see explanation

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

21 ÷ 7 = 63 ÷ 21 = 3

this indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ration

here a₁ = 7 and r = 3 , then

[tex]a_{n}[/tex] = 7 . [tex]3^{n-1}[/tex] ← explicit formula

the recursive formula allows a term to be found by multiplying the previous term by r , then

[tex]a_{n}[/tex] = 7 . [tex]a_{n-1}[/tex] ← recursive formula

Answer:

x >-2

Step-by-step explanation:

3x-10<4(x-2)

3x - 10<4x-8

grouping liked terms

3x-4x<-8+10

-x<2

divide through by coefficient of x

x > -2

Answer:

Step-by-step explanation:

It's Irrational.

sqrt(70) = sqrt(2 * 5 * 7)

You can't pull anything out of the right to leave the number under the root sign = to 1. That means that since all three roots are irrational, the whole number is irrational, In fact it takes only 1 number other than 1 left under the root sign to make the result irrational.

√50 = √(5 * 5 * 2)

The 5's will produce one number outside the root sign -- five. That makes the result

5√2 The result is irrational because √2 is irrational

Answer:

n=2

y=3

I explained the answers to your questions in the photo sent

Answer:

3

Step-by-step explanation:

4x +1 =2x +7

4x - 2x =7 - 1

2x =6

x=6 :2

x=3

Answer:

-2x to both sides

-1 to both sides

then you get 2x=6

divide each side by 2

x=3

tep-by-step explanation:

Answer:

D

Step-by-step explanation:

Median: 18

Minimum: 16

Maximum: 23

First quartile: 16

Third quartile: 19.5

Interquartile Range: 3.5

Answer:

Volume of the prism: 120cm^3

Step-by-step explanation:

volume of a prism = area of cross-section x length

so

volume of triangular prism = 4 (h) x 6 (b) divided by 2 x 10 (length)

6 x 4 = 24

24 / 2 = 12

12 x 10 = 120

Hope this helped!

- profparis