A student scored 98 and 87 on his first two quizzes. Use a compound inequality to find the possible values for a third quiz score that would give him an average between 90 and 95 inclusive

Answers

Answer 1
90≤(98+87+s)/3≤95  multiply each expression by 3

270≤98+87+s≤285  combine like terms in center expression

270≤185+s≤285  subtract 185 from each expression

85≤s≤100

So the student can score from 85 through 100 to average from 90 to 95
Answer 2
Final answer:

The range of possible scores for the third quiz that would yield an average score between 90 and 95 is 85 to 100, inclusive.

Explanation:

The objective is to find the range of possible scores for the third quiz that would give an average score between 90 and 95, inclusive. As per the question, the sum of the student's first two quizzes is 98+87=185. If we denote the third quiz score as 'x', then the equation could be written as (185+x)/3 = average score. Considering the lower and upper limit of the average, we form two inequalities. For the lower limit, it's (185+x)/3 >= 90, which simplifies to x >= 270 - 185, thus x >= 85. For the upper limit, it's (185+x)/3 <= 95, which simplifies to x <= 285 - 185, thus x <= 100. So, the range of scores for the third quiz that would give an average between 90 and 95 inclusive is 85 <= x <= 100.

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Related Questions

What is 2(x+6)=20 pls I need help

Answers

2x + 12 = 20
2x = 32
32/2x
X= 16
2(x+6)=20
Distributive Property
2×x=2x
2×6=12
2x+12=20
Subtract 12 both sides.
2x=8
Divided them by 2
X=4

75% of a number is 4.5 cm

Answers

Answer: 6 cm

Step-by-step explanation: 4.5 cm is 75/100

75/100=4.5/x

100*4.5=75*x

450=75x

divide both sides by 75

6=x

The number 4.5 is 75 percent of the number 6.

The given number is 4.5 cm.

Let 75% of x is 4.5 cm.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here, 75% of x=4.5

[tex]\frac{75}{100} \times x=4.5[/tex]

[tex]\frac{75x}{100}=4.5[/tex]

[tex]75x=4.5\times100[/tex]

[tex]75x=450[/tex]

[tex]x=\frac{450}{75}[/tex]

[tex]x=6[/tex]

Therefore, the number 4.5 is 75 percent of the number 6.

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"Your question is incomplete, probably the complete question/missing part is:"

75% of what number is 4.5 cm.

I don't understand this at all please help me

Answers

4y-y +11 = 38

4y -y = 3y

3y + 11 = 38

3y = 27

y = 27/3 =9

y = 9

answer is 9

Please help a brother out! Thank you!

Answers

they are saying x = 3 so you would use the middle equation

so -4x becomes -4(3)

-4 * 3 =-12

There are values of t so that the equation cos t= 5/3

Answers

the answer is false good day

impossible, the maximum value of either cos(t) or sin(t) is 1; look to the unit circle for proof

The radius of the earth is approximately 3960 miles find the approximate surface area to volume ratio of the earth

Answers

[tex]\bf \begin{array}{llll} \textit{surface area of a sphere}\\\\ s=4\pi r^2 \\\\\\ \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3} \end{array}\quad \begin{cases} r=radius\\ -----\\ r=3960 \end{cases} \\\\\\\\ \cfrac{s}{V}\qquad \cfrac{4\pi 3960^2}{\frac{4\pi 3960^3}{3}}\implies \cfrac{\frac{4\pi 3960^2}{1}}{\frac{4\pi 3960^3}{3}}\implies \cfrac{4\pi 3960^2}{1}\cdot \cfrac{3}{4\pi 3960^3} \\\\\\ \cfrac{3}{3960}\implies \cfrac{1}{1320}[/tex]

A 100-foot ramp is tilted at a 45° angle. How high is the top of the ramp from the ground?

Answers

check the picture below.

now, let's rationalize the denominator.

[tex]\bf \cfrac{100}{\sqrt{2}}\cdot \cfrac{\sqrt{2}}{\sqrt{2}}\implies \cfrac{100\sqrt{2}}{\sqrt{2^2}}\implies \cfrac{100\sqrt{2}}{2}\implies 50\sqrt{2}[/tex]

Urn A has balls numbered 1 through 6. Urn B has balls numbered 1 through 4. What is the probability that a 4 is drawn from A followed by a 2 from B?

Answers

Drawing the tree diagram of the problem, we see that there are 6 branches for drawing from Urn A, and then 4 branches for each of the 6 branches, for drawing from Urn B.

This means that there are 6*4=24 possible outcomes, which could be listed as
{(1, 1), (1, 2), (1, 3), (1, 4), (2, 1)... (6, 3), (6, 4)},

where the first coordinates represent drawing from urn A, and the second coordinates, drawing from urn B.

(4, 2) is one of these 24, so the probability is 1/24


remark, this problem could also have been solved by the multiplication principle of the probabilities of separate events, that is 1/6 (probability of drawing 4 from Urn A) times 1/4 (probability of drawing 2 from B) = 1/24


Answer: 1/24

The probability that a 4 is drawn from A followed by a 2 from B is 1/24

Further explanation

The probability of an event is defined as the possibility of an event occurring against sample space.

[tex]\large { \boxed {P(A) = \frac{\text{Number of Favorable Outcomes to A}}{\text {Total Number of Outcomes}} } }[/tex]

Permutation ( Arrangement )

Permutation is the number of ways to arrange objects.

[tex]\large {\boxed {^nP_r = \frac{n!}{(n - r)!} } }[/tex]

Combination ( Selection )

Combination is the number of ways to select objects.

[tex]\large {\boxed {^nC_r = \frac{n!}{r! (n - r)!} } }[/tex]

Let us tackle the problem.

Urn A has balls numbered 1 through 6 → Total = 6 balls

The probability of choosing a 4 ( 1 ball ) from Urn A is:

[tex]P(A) = \boxed{\frac{1}{6}}[/tex]

Urn B has balls numbered 1 through 4 → Total = 4 balls

The probability of choosing a 2 ( 1 ball ) from Urn B is:

[tex]P(B) = \boxed {\frac{1}{4}}[/tex]

The probability that a 4 is drawn from A followed by a 2 from B is

[tex]P(A \cap B) = P(A) \times P(B)[/tex]

[tex]P(A \cap B) = \frac{1}{6} \times \frac{1}{4}[/tex]

[tex]P(A \cap B) = \boxed {\frac{1}{24}}[/tex]

Learn moreDifferent Birthdays : https://brainly.com/question/7567074Dependent or Independent Events : https://brainly.com/question/12029535Mutually exclusive : https://brainly.com/question/3464581

Answer details

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation

Help a brother out here! Thank you!!!

Answers

7 blue cards

26 total cards

 probability = 7/26

Suzie drew the line of best fit on the scatter plot shown. A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1. The ordered pairs 0, 3 and 1, 3 and 2, 4 and 3, 7 and 4, 6 and 5, 8 and 6, 10 and 7, 10 and 8, 12 and 9, 14 and 10, 15 are shown on the graph. A straight line joins the ordered pairs 0, 3 and 10, 15. What is the approximate equation of this line of best fit in slope-intercept form?

Answers

Answer:

y = 1.2 x + 3

Step-by-step explanation:

Hope this helps

A rectangle is 3 times as long as it is wide. The perimeter is 60cm. Find the dimensions of the rectangle.

Answers

width = x 
length = 3x

2(x + 3x) = 60
4x = 60/2
4x = 30
x = 30/4
x = 7.5 cm   ← width 

length = 3x = 3 * 7.5 = 22.5 cm


7.5cm x 22.5cm is the answer.

5(2x-8) i dont get how to do distributive prop on this

Answers

You would multiply both 2x and -8 by 5. The answer would be 10x-40.

3x-4y=-5 y=4x-2 Is (1,2) a solution of the system?

Answers

If you want to check if (1,2) is a solution to the system, you have to plug the x and y values back into both equations. If they work for one equation, but not the other, than the coordinates are not a solution to the system.

3(1) - 4(2) = -5
3 - 8 = -5
-5 = -5 

2 = 4(1) - 2
2 = 4 - 2 
2 = 2

Since both of these checks are true, then (1,2) is a solution to the system.

Thompson Alberts purchased a pack of 12 pencils for $4.99. What is the unit price per pencil rounded to the nearest tenth of a cent?

Answers

divide total coast by number of pieces

4.99/12 = 0.415833

rounded to 0.42

42 cents each

$0.416

This is the correct answer for primavera

$4.99/12=0.4158 Rounded to the nearest tenth of a cent is $0.416

Analyze the diagram below and answer the question that follows.

Which of the following best describes triangle GFH?

A.
isosceles triangle
B.
acute triangle
C.
scalene triangle
D.
right triangle

Answers

This would be a scalene triangle, because all of the sides are different lengths.

The correct answer is C.

C. Scalene Triangle


Hope this helps : )

Use the functions a(x) = 3x + 10 and b(x) = 2x − 8 to complete the function operations listed below. Part A: Find (a + b)(x). Show your work. (3 points) Part B: Find (a ⋅ b)(x). Show your work. (3 points) Part C: Find a[b(x)]. Show your work. (4 point

Answers

a(x) = 3x + 10
b(x) = 2x − 8

(a+b)(x)=(3x+10)+(2x-8)=5x+2

(a*b)(x)=(3x+10)(2x-8)=
6x^2-24x+20x-80=
6x^2-4x-80

a[b(x)]=3*b(x)+10=
=3*(2x-8)+10
=6x-24+10
=6x-14

Which of the following is a parent function

Answers

The answer is A. It is the exponential parent function.
Answer would have to be a to this question

The following graph describes function 1, and the equation below it describes function 2:

Function 1

graph of function f of x equals negative x squared plus 8 multiplied by x minus 15

Function 2

f(x) = −x2 + 2x − 15

Function ____ has the larger maximum.
(Put 1 or 2 in the blank space)

Answers

Function 1 ⇒ [tex]f(x)=- x^{2} +8x-15[/tex]
Function 2 ⇒ [tex]- x^{2} +2x-15[/tex]

Both functions are shown in the graph below

As well as graphing, we can also find out the function with the highest maximum by using the formula to find the x-coordinate when the function is maximum/minimum

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

Maximum vertex for function 1 is [tex]x=- \frac{8}{(2)(-1)} = \frac{-8}{-2} =4[/tex]
Maximum vertex for function 2 is [tex]x=- \frac{2}{(-2)(-1)}= \frac{-2}{-2}=1 [/tex]

Hence the function with the highest maximum is function 1

Answer:

The Function __1__ has the larger maximum.

Step-by-step explanation:

The given functions are

Function 1:

[tex]f(x)=-x^2+8x-15[/tex]

Function 2:

[tex]f(x)=-x^2+2x-15[/tex]

Both functions are downward parabola because the leading coefficient is negative. So, the vertex is the point of maxima.

If a function is [tex]f(x)=ax^2+bx+c[/tex], then its vertex is

[tex]Vertex=(\frac{-b}{2a}, f(\frac{-b}{2a}))[/tex]

The vertex of Function 1 is

[tex]Vertex=(\frac{-8}{2(-1)}, f(\frac{-8}{2(-1)}))[/tex]

[tex]Vertex=(4, f(4))[/tex]

The value of f(4) is

[tex]f(4)=-(4)^2+8(4)-15=1[/tex]

The vertex of Function 1 is (4,1). Therefore the maximum value of Function 1 is 1.

The vertex of Function 2 is

[tex]Vertex=(\frac{-2}{2(-1)}, f(\frac{-2}{2(-1)}))[/tex]

[tex]Vertex=(1, f(1))[/tex]

The value of f(1)is

[tex]f(1)=-(1)^2+2(1)-15=-14[/tex]

The vertex of Function 2 is (1,-14). Therefore the maximum value of Function 2 is -14.

Since 1>-14, therefore Function __1__ has the larger maximum.

The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 20 + 38.7t, where g(t) is the height, in feet, of the object from the ground at time t seconds. Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points) Part B: Explain what the solution from Part A means in the context of the problem. (4 points) (10 points)

Answers

We are given the functions:

h(t) = -16t^2 + 60t + 95

g(t) = 20 + 38.7t

Part A. All we have to do is to plug in the value of t = 1 to 4 on the two functions

t               h(t)          g(t)

1              139         58.7

2              151         97.4

3              131         136.1

4              79           174.8

Looking at the table, we can say that the time when h(t)=g(t) must be between t=2 and t= 3 seconds
At t=2 seconds h(t) is above g(t), and at t = 3 seconds h(t) is below g(t). Therefore the two functions must be at the same height in between.

 

Part B. The solution in Part A gives us the exact time where the two objects have the same height. Further, we can see from the table that h(t) is decreasing meaning the projectile is going down while g(t) is increasing so the other projectile is going up.

 

The pie store is having a 15% percent off sale on all of its pies. If the pie you want regularly costs $11 how much would you save with the discount?

Answers

15% of $11 = 11×0.15 = 1.65

We would have saved $1.65 on the pie

What is the volume of the sphere? Round the answer to the nearest cubic unit. Diameter: 22 cm

1) 507 cm^3
2) 1,394 cm^3
3) 5,575 cm^3
4) 16,725 cm^3

Answers

The formula for calculating the volume of a sphere is 4/3pir^3 in this problem we are given the diameter which is 22 cm we only need rhe radius so take half of the diameter, which is 11 cm. Plug rhe radius into the equation.
4/3pi11^3 and approximately simplify you will get 5,575 cm^3.

The volume of the Sphere is  5,575 cm^3.

What is the volume of  the Sphere ?

The volume of the  Sphere  is the capacity it has. It is the space occupied by the sphere.

Formula used to find volume of  the Sphere is :

V = 4/3 × π × r^3

Given : diameter = 22 cm

r = diameter/2  

r = 11 cm

So ,

V = 4/3 × π  × 11 ^3

⇒ 4/3  × π ×  1331

⇒  1.34 × 4179.34

V = 5575.28 cm^3

The nearest cubic unit  is 5,575 cm^3.

Hence , the  volume of the Sphere is  5,575 cm^3 .

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All computers are on sale for 10% off the original price. If x is the original price of the computer, then the function that represents the price after only a 10% discount is: P(x) = x - 0.1x P(x) = 0.9x The function that gives the price, C, if only a $150 coupon is used is: C(x) = x - 150 Choose the composition function that gives the final sale price after a 10% discount is followed by a $150 coupon

Answers

We are given the functions:

P (x) = 0.9 x

C (x) = x – 150

We can generate two composition functions from the given two functions in the form of:

P [C (x)]                and C [P (x)]

Since the problem states that we are to find for the final price after a 10% discount is followed by a $150 coupon then we should find for:

C [P (x)]

The value of C [P (x)] can obtained by plugging in the value of P (x) into x in the equation of C (x), therefore:

C [P (x)] = [0.9 x] – 150

C [P (x)] = 0.9 x – 150                      (ANSWER)

Answer:

A On edge 2020!

Step-by-step explanation:

Have an amazing day :3

Help!!!!! how do i slove this equation

Answers

Because the number inside the parenthesis is less than 1, the population is decreasing every year. The initial population is the 12500.  In terms of percentage, .98 is 98%, and the difference between 98% and 100% is 2%, so the population is decreasing by 2% every year. The population after 10 years requires you to replace the t in the equation with a 10.  Doing that gives you a population of 10213.4

Find the length of a line segment with endpoints of 19 and –39. A. –58 B. –20 C. 20 D. 58

Answers

19 - (-39) = 19 + 39 = 58

length of a line segment is 58 units.

Answer:

Option D, 58

Step-by-step explanation:

Line segment having end points are 19 and -39

So total length of line segments having end points of 19 and (-39) = distance from origin to one end at (19) + distance of another end from origin

  = 19 + 39

  = 58

Option D, 58 is the answer.

A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function h=-16t^2+36t+5. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the ball’s maximum height

1)1.13 s; 27.5 ft

2)2.25 s; 5 ft

3)1.13 s; 25.25 ft

4)1.13 s; 65.75 ft

Answers

The time can be found with -b/2a, and the time is -36/2*-16 = 1.13 seconds. Plugging back into the equation we get h = 25.25 feet.

Answer: 1.13s;25.25ft you welcome

Step-by-step explanation:

Help! question down below!

Answers

they would be similar since they have the same angles, but different length sides

they are different sizes

 the sides are different lengths

 congruent, means same size and shape

 the only answer that applies is A

Solve by factoring: 8p2 - 64p = 0

Answers

You begin with moving all terms to the left side and set them equal to zero. Then you set each factor equal to zero and you should come out with p= 0,8

The lines 2x - 3y = 1 and 2x + 3y = 2 are intersecting. true or false

Answers

2x - 3y = 1
-3y = -2x + 1
y = 2/3x - 1/3...slope = 2/3, y int = -1/3

2x + 3y = 2
3y = -2x + 2
y = -2/3x + 2/3...slope = -2/3, y int = 2/3

different slopes, different y int's....means 1 solution...so yes, they intersect
TRUE

Answer:

the given statement is true.

Step-by-step explanation:

The given lines are

2x - 3y = 1 and 2x + 3y = 2

Write these equations in slope intercept form of a line y = mx +b

For the first equation

[tex]2x-3y=1\\\\3y=2x-1\\\\y=\frac{2}{3}x-\frac{1}{3}[/tex]

For the first equation

[tex]2x+3y=2\\\\3y=-2x+2\\\\y=-\frac{2}{3}x+\frac{2}{3}[/tex]

The slope and y-intercepts of first line are 2/3 and -1/3 respectively.

The slope and y-intercepts of second line are -2/3 and 2/3 respectively.

Since, the slopes and y-intercepts of these lines are different.

Hence, these lines are intersecting.

Therefore, the given statement is true.

Quadrilateral ABCD is similiar to quadrilateral EFGH The lengths of the three longest sides in quadrilateral ABCD are 24 feet, 16 feet, and 12 feet long. If the two shortest sides of quadrilateral EFGH are 9 feet long and 18 feet long, how long is the 2nd longest side on quadrilateral EFGH
?

Answers

Quadrilateral has four sides. Not necessarily a rectangle, just four sides.

They are similar, so the sides of one of them and the other one are in proportion.

We have to find the proportion. Notice that the 12 feet side and the 18 feet side must be the one in common. 3 longest ones ... one is missing, then, two shortest ones ... two are missing, but they must share that one:

The ratio is the 18:12 or 3:2.

Now we can complete both quadrilaterals:

ABCD: 24, 16, 12,  ?
EFGH:  ?,   ?,  18,  9

ABCD: 24, 16, 12, 6
EFGH: 36, 24, 18, 9

24 is the answer!!

Answer:

A.) 24 feet

Step-by-step explanation:

I got it correct on founders edtell!

If the correlation between two variables is .496, how much of the variance has not been accounted for

Answers

If the correlation between two variables is .496, it has 24.6 percent (24.6%) of the variance that has not been accounted for.  Hence, correlation is a statistical technique that is used to measure and describe the strength and direction of the relationship between two variables and 24.6% has not been accounted for the two variables which is .496.

Final answer:

About 75.40% of the variance between two variables with a correlation coefficient of .496 is unaccounted for, as it is the complement of the coefficient of determination (24.60%) obtained by squaring the correlation coefficient.

Explanation:

To determine the amount of variance not accounted for by the correlation between two variables with a correlation coefficient of .496, we must use the coefficient of determination. The coefficient of determination is the square of the correlation coefficient (r₂), which represents the proportion of the variance for the dependent variable that's explained by an independent variable in a regression model.

First, we calculate r₂:
.4962 = .246016, or approximately 24.60%. This means that about 24.60% of the variance in the dependent variable is explained by the independent variable.

Next, we find the unexplained variance by subtracting r₂ from 1:
1 - .246016 = .753984, or approximately 75.40%. Therefore, 75.40% of the variance has not been accounted for by the correlation.

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