Solve this problem!!! PLEASE HELP WILL GIVE BRAINLIEST

a) 75.80 percentage of students will be scoring below 550 in a typical year.

b) 22.2 marks should be set by the engineering school setas a comparable standard on ACT math test.

Here we have been mentioned that in the recent years, sat maths exam scores have averaged 480 with standard deviation 100. the average and standard deviation for act mathematics scores are 18 and 6, respectively.

a) The percentage of the students scoring below 550 marks in a typical year is calculated as follows:

Let x be the SAT score

So, x follows normal distribution

Given above,

mean (μ) = 480

standard deviation (σ) = 100

we will find P ( x < 550)

We will use the excel function NORM.DIST to find the required probability

P(x < 550) = NORM.DIST[tex](550, 480, 100, TRUE)[/tex]

= 0.7580

= 75.80%

Hence the percentage of the students who are scoring below 550 in a typical year = 75.80%

b) We calculate the score to be set by the engineering school as a comparable standard on the ACT math test as follows:

Let Z be the ACT score

Z follows the normal distribution

Given above, μ = 18 and σ = 6

Let Z' be the ACT score comparable to the standard set for SAT

Then we need to find Z' such that P(Z < Z') = 75.80% = 0.758

From standard normal tables we get Y' such that

Z' = NORM.INV[tex](0.758, 18, 6)[/tex]

= 22.2

The ACT score that needs to be set by the college = 22.2 marks

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Step-by-step explanation:

I hope this answers your problem

Answer:

52

Step-by-step explanation:

35×12÷8

35×12

8

(Cross out the common factor which is 8 and 12)

35×3 = 105

2 2

(find the largest integer less than or equal to 105 which is 52.)

2

......................

Answer:

youd get 0.25 off and yes you would save 25 cents the difference would be 2.25 dollars instead of 2.50

Step-by-step explanation:

im so so sorry if im wrong so so sorry

The driving time in hours for the remainder of Guenther's trip would be = 9.5 hours.

Average speed of a moving object is defined as the average change in distance divided by change in time.

The first distance covered by Guenther = 260 miles.

The time it took to cover the first distance= 5 hours.

The remaining distance = 494 miles

The time it will take to cover the remaining distance= X hours

But if , 260 miles = 5 hours

494 miles = X hours

Make X the subject of formula;

X hours= 494 × 5 / 260

X hours = 2,470 / 260

X hours = 9.5 hours.

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1. (x - 8) (2x + 5) = 5



2. x² + 13x + 40 = 0



3. x² - 6x - 20 = 7​

Part 1

apply distributive property left side

2x^2+5x-16x-40=5

2x^2-11x-45=0

Apply the formula to solve quadratic equation

we have

a=2

b=-11

c=-45

substitute

Part 2

x² + 13x + 40 = 0

we have

a=1

b=13

c=40

Apply the formula

so

Part 3

x² - 6x - 20 = 7​

x² - 6x - 27=0

so

a=1

b=-6

c=-27

Apply the formula

so

Answer: the answer is 17

Step-by-step explanation:

Answer: The equation would be 9(x+4)=7

Divide both sides by the numeric factor on the left side, then solve.

Exact Form: x= −29/9

Mixed Number Form: x= −3 2/9

Answer:

5<x<41

Step-by-step explanation:

Assume the unknown side to be x

By triangle inequality theorem

Difference of two known sides < x< Sum if two known sides

⇒23-18<x<23+18

⇒5<x<41

Therefore the possible values for unknown side x lies between 5 ft and 41 ft.

Because the lines have different slopes, we conclude that there is only one intercept, and thus, the system of linear equations has only one solution.

Remember that a system of equations has as many solutions as intercepts are when we graph both equations in the same coordinate axis.

Now, in this case, we have a system of linear equations:

y = m1*x + b

y = m2*x + b

Remember that linear equations are parallel only if the two lines have the same slope, in this case, we know that  m1 ≠ m2, so the slopes are different.

Then the lines are not parallel, which means that intersect only one time, so we conclude that the system of equations has one solution.

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Answer: C) 6cm

Step-by-step explanation:

6³= 6x6x6

6x6x6= 216

Answer:

Choice C: 6 cm

Step-by-step explanation:

The sides of a cube are all of equal length

If each side is a cm, then the volume = a x a x a = a³ cubic cm

So a = ∛V where V is the volume

Since we are given V = 216 cm³,

each side = ∛21 = 6 cm

Answer:

Step-by-step explanation:

m = 5/7  is the slope of the line on the graph .

What is slope in plain ?

A line or a part of a line that connects two locations is said to have a slope, which is a measure of how steep it is.

The ratio of how much y grows as x grows by a certain amount is known as a line's slope. The slope of a line indicates how steep it is, or how much y rises as x rises.

The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b.

point from given graph x = ( -7 , 0 ) and y = ( 0, 5 )

slope (m) =

m =

m = 5/7

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here you go im late tho...

Answer:

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).

Step-by-step explanation:

brainiest please

Answer: B = -(Aa)/y + C/y

By = -Aa + C

B = -(Aa)/y + C/y

hope this helps! <3

Answer:

y = -4

Step-by-step explanation:

first add 7y to both sides

9 = 10y + 49

second subtract 49 from both sides

-40 = 10y

flip it

10y = -40

now divide both sides by 10

y = -4

that is your answer

Answer: 7y+9=3y+49

We move all terms to the left:

-7y+9-(3y+49)=0

We get rid of parentheses

-7y-3y-49+9=0

We add all the numbers together, and all the variables

-10y-40=0

We move all terms containing y to the left, all other terms to the right

-10y=40

y=40/-10

y=-4

Answer:

[tex]A = 8100mi^{2}[/tex]

Step-by-step explanation:

Are of a triangle: [tex]A = \frac{hb}{2}[/tex], where A is the area, h is height and b is base.

[tex]A = \frac{hb}{2}\\A = \frac{(180)(90)}{2}\\A = \frac{16200}{2}\\A = 8100mi^{2}[/tex]

The aproxiate area of NH is 8100mi^2

Answer:

1

Step-by-step explanation:

We see that 1 + 1 = 2, while 1 * 1 = 1

So 1 gives a bigger answer when you add 1 to itself then when 1 is multiplied by itself

In the answer it is given that this is the only number for which this is correct, so there is not really a need to check for other options

but if you would want, you could just compute 2 till 9 and see that for example 2 + 2 = 4 and 2 *2 = 4, which are the same, so it is not a bigger number when added then when multiplied.

Answer: y=0   y=-1   y=1

Step-by-step explanation:

[tex]\displaystyle\\f(y)=y^5-2y^2+y\\\\y^5-2y^2+y=0\\\\y(y^4+2y^2+1)=0\\\\y((y^2)^2+2(y^2)(1)+1^2)=0\\\\y(y^2-1)^2=0\\\\y=0\\\\(y^2-1)^2=0\\\\y^2-1-0\\\\(y+1)(y-1)=0\\\\y+1=0\\\\y+1-1=0-1\\\\y=-1\\\\y-1=0\\\\y-1+1=0+1\\\\y=1[/tex]

Answer:

the answer is 4x + 3z

Step-by-step explanation:

1x + 3x + -1y + 1y + 2z + 1z

1x + 3x = 4x

-1y + 1y = 0

2z + 1z = 3z

so the answer is 4x + 3z

Answer: He did not convert the fractions into the like fraction to add.

Step-by-step explanation:Given: The distance Jonah runs on Sunday=  milesThe distance Jonah runs on Monday=  milesThe total distance he ran = Since both the fractions are not like , thus multiply 2 to the numerator and the denominator of the first fraction [to add fractions first convert them into like fractions], we get The total distance he ran = The right answer is "The total distance he ran ="

Answer:

243

Step-by-step explanation:

IM PRETTY SURE IT 243 PLS NOW BRAINLIST

113 disproves the conjecture that all number ending in 3 are divisible by 3

Mathematicians use a set of precise rules called the "divisibility rules" to determine whether a given integer is divisible by a certain number or not. Examples of well-known divisibility tests range from 2 to 20. It enables us to calculate multiples and factors of numbers without having to use lengthy division. Applying the rules of divisibility, a person can determine if a number is divisible by another number or not.

Divisibility rule for 3 states that a number is completely divisible by 3 if the sum of its digits is divisible by 3.

243 is divisible by 3 as its sum is 2 + 4 + 3 = 9 and 9 easily get divided by 3

113 is not divisible by 3 as its sum is 5 and 5 can not divided by 3

therefore ,

113 disproves the conjecture that all number ending in 3 are divisible by 3

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Answer: The value of 7 2/3 + 2 1/5 is 9 13/15

Explaination: The lowest common multiple of 3 and 5 is 15. Therefore, 7 2/3 + 2 1/5 will be calculated thus:

= 7 2/3 + 2 1/5

= [7 + 2/3× 15] + [2 1/5 × 15]

= 7 10/15 + 2 3/15

= 9 13/15

In conclusion, the value of the fraction 7 2/3 + 2 1/5 is 9 13/15

Answer: -2[tex]Y^2[/tex]

Step-by-step explanation:

Answer:

y = [tex]\frac{1}{4}[/tex] x -  [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{1}{4}[/tex] x + 1 ← is in slope- intercept form

with slope m = [tex]\frac{1}{4}[/tex]

• Parallel lines have equal slopes , then

y = [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

to find c substitute (6, - 2 ) into the partial equation

- 2 = [tex]\frac{3}{2}[/tex] + c ⇒ c = - 2 - [tex]\frac{3}{2}[/tex] = - [tex]\frac{7}{2}[/tex]

y = [tex]\frac{1}{4}[/tex] x - [tex]\frac{7}{2}[/tex] ← equation of parallel line

The nights required by Quinn in order to knit a total of 70 centimeters of the scarf is equal to 35.

The number of nights required by Quinn in order to knit a total of 70cm of the scarf can be calculated using multiplication. Multiplication can be described as one of the four basic arithmetic operations in which we perform the repeated addition of the same number or value. This problem can be solved using cross-multiplication as follows;

2 nights = 4 cm of scarf

x nights = 70 cm of scarf

70 × 2 = 4(x)

140 = 4(x)

x = 140 / 4

x = 35

Therefore, Quinn will have to spend 35 nights knitting in order to knit a total of 70 centimeters of the scarf.

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The matching pairs of the greatest common factor (GCF) of the numbers is given as follows:

As the common word states, the greatest common factor between two numbers a and b is the greatest number by which both numbers a and b are divisible by.

Hence, the GCFs for the pairs in this problem are given as follows:

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Answer:

Trip to town hall took 5 hours

Step-by-step explanation:

Distance traveled = Speed x Time

We know the return trip took 4 hours at 75 mph

So distance traveled from town hall to start = 75 x 4 = 300 miles

The distance from start to town hall is assumed to be the same.

So distance to town hall from start = 300 miles also

Time taken to travel 300 miles at 60 mph = 300/60 = 5 hours