Five test scores have a mean (average score) of 90, a median (middle score) of 91 and a mode (most frequent score) of 94. Find the sum of the two lowest test scores.

Step-by-step explanation:

arithmetic progression

even numbers between 1001 and 10000

1002,1004,.......9998

Tn=a+(n-1)d

Tn = 9998 last term in the progression of even numbers

a = 1002 first term

d = 2 distance

9998=1002+(n-1)(2)

8996=2n-2

8998=2n

n = 4499 the number of terms

sum = n/2 (a+Tn) = 4499/2(1002+9998)

= (4499/2)(11000) = 24744500

Logic:

notice what happens when you add the first and last terms

1002+9998=11000

1004+9996=11000

.......

Answer: 311 pounds

Step-by-step explanation:

To find the average, add up all of the values and divide by the amount of values.

First add up all of the values.

322+290+321+326+330+315+311+292+290 = 2797

Now count how many values there are and divide your previous sum by it.

2797/9 = 310.78

Because you need to have 3 sig figs, round to the nearest one.

310.78 rounds up to 311.

answer-311

Step-by-step explanation:

322+290+321+326+330+315+311+292+290=2797

Count the number of values and divide by 2797

2797 divided by 9 =310.77777777777777

Nearest one-311

Answer:

1/6

Step-by-step explanation:

Spinner = 1 out of 3

Marbles = 2 out of 4

1/3x2/4=2/12=1/6

Answer:

D. 81

Step-by-step explanation:

You need to first add 77, 95 and 82 to get 254, Then you do 335 - 254 which is 81.

Answer:

D. 81

Step-by-step explanation:

To get the answer all you need to do is add all of the scores of the first three tests and then subtract that from 335.

Answer:

6000 square millimeters

Step-by-step explanation:

Side length of the slanting side can be calculated using the Pythagorean theorem,

L = sqrt(30^2+40^2) = 50

sufrace area of a triangular prism

= surface area of the end sections + the surface area of the three side faces

= 2*(30*40/2) + 40*(30+40+50)

= 1200 + 4800

= 6000 mm^2

Answer:

D) 6,000 square mm

Step-by-step explanation:

To find the surface area of the triangular prism, find the are of each face.

After adding all the sides' together, you get 6,000 square mm.

Answer:

line of slope 1 move up 7, so that there is a y-intercept of 7

Step-by-step explanation:

Answer:

There should be a y intercept of seven. :)

Answer:

V = 7*4*1

V = 1*4*7

V = 4*7*1

Step-by-step explanation:

The volume is found by

V = l*w*h

V = 7*4*1

We can multiply in any order

Answer:

Choices 2, 5, 6

Step-by-step explanation:

Rectangular Prism Volume: whl (width ✖️height✖️length).

4✖️7✖️1

Anything that is same with that is the answer, therefore, choices 2, 5, and 6 are correct.

I hope this helps you!

Answer:

7.06

Step-by-step explanation:

Write a proportion using similar triangles.

DF / DG = DE / GE

x / 8 = 15 / 17

x = 7.06

Answer:

C

Step-by-step explanation:

Took the test

The one way to simplify the algebraic summation expression is; [[∑⁴³_(n = 1)] 3] + [[∑⁴³_(n = 1)] 9n]

We want to simplify the algebraic summation;

[∑⁴³_(n = 1)] (3 + 9n)

Now, due to the addition sign, we can simplify this as;

[[∑⁴³_(n = 1)] 3] + [[∑⁴³_(n = 1)] 9n]

The only option that corresponds to our answer is Option A and so is correct.

Read more about Algebra Summation at; https://brainly.com/question/542712

#SPJ2

Answer:

C.Quadrant III

EXPLANATION:

IN THIRD QUADRANT THAT'S WHERE -NEGATIVE COORDINATES LIE

Answer:

Second one is the corect probability for the problem

Answer:

1,000 feet

Step-by-step explanation:

The closer to a square a rectangle is, the greater the area. So the 5,000 feet should be divided into 5 equal sections to create 2 squares with the river making one side.  (Like the letter "E").

5,000/5=1,000

Answer:

y = 3x -2

Step-by-step explanation:

y intercept means the point x = 0

need not be confused in that

we can get the two coordinates as

( 2, -4) and ( 0, -2)

gradient is difference of y/ difference of x

-2+-4/0-2

-6/-2 indeed its 3

so as y intercept is -2

c = -2

y = 3x - 2

Answer:

1 and 2. { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 , 100 }

3. Mean ➡ 13.67 ( About )

4. The mean will decrease. The mean is the average difference between the values in a data set, and this outlier is much greater than the rest of the values. Therefore, in the absence of the outlier the mean will decrease.

5. Mean ➡ 7.5

Step-by-step explanation:

I do want to point out that there is no " correct " answer in this case, but if you are referring to accuracy in terms of the calculations ( mean ) in this set, then I can understand.

1 and 2. An outlier is a value that does not belong to the set of values, considering their is pattern among the numbers. In other words it can be a number of high value, or a number of low value with respect to the data set. This throws the pattern of the set off balance, and does result in drastic changes in the mean.

Let's say that this is the following set - { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 }. A very basic set, but as you can see contains only 14 elements. This last element here will be the outlier, 100 - { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 100 }.

3 and 4 and 5. Assuming that this outlier was not present, I can tell that the set would have a mean less than when it was present. The mean is the average difference in the data set, and this outlier is greater than the other elements - greatly increasing the mean. The mean of the data set with the outlier is 13.67, and the mean of the data set without the outlier would be 7.5.

Step-by-step explanation:

You should always use the least number of significant figures.  The exception is exact numbers or constants.

For example, there are 60 minutes in an hour.  Even though this number has one significant figure, it is an exact number.  So 15 minutes converted to hours would be 0.25 hr.

Answer:

14 units.

Step-by-step explanation:

Graph all the points on a coordinate grid. Two sides are 4 units each and the other two sides are 3 unites each.

P = 2(l + w)

P = 2(3 + 4)

P = 6 + 8 ← (The distributive property) OR 2(7) ← (Normal way to solve)

P = 14 units and 14 units.

You could also do addition.

P = 3 + 3 + 4 + 4

P = 6 + 8

P = 14 units

Hope this helped!

Explanation:

The transformations of translation, reflection and rotation are considered rigid motions. They keep the figure the same size just it has been shifted around in some way. In contrast, a dilation will alter the size to make it larger or smaller depending on what the scale factor is.

Only choice C has "dilation" as part of the answer, so it must be the answer. The other choices are purely rigid motions that will keep the triangle the same size and shape. In other words, the preimage and image are congruent for choices A,B, and D.

Answer: 62/5

Step-by-step explanation:

You are given the following functions:

F(X) = x-2/5

g(X) = x-5

First find the inverse of the two functions.

To find inverse, first make f(x) and g(x) equal to y, interchange x and y and make y the subject of formula

F(x) = x - 2/5

Y = x - 2/5

Interchange y and x

X = y - 2/5

Make y the subject of formula

Y = x + 2/5

Therefore, f^-1(x) = x + 2/5 ..... (1)

Also,

g(x) = x - 5

Y = x - 5

X = y - 5

Make y the subject of formula

Y = x + 5

g^-1(x) = x + 5

To find g inverse of 7, substitute 7 for x in the above formula

g^-1(7) = 7 + 5 = 12

f inverse g inverse = 7 will be achieved by substitute 12 for x in the equation (1)

F^-1(12) = 12 + 2/5 = 62/5

Answer:

1. C

2. 55°

Step-by-step explanation:

So, we know that for an angle with its vertex inscribed on the circle, the arc it opens up to is twice the angle's measure, so we can get m∠ADE = 1/2(measure of arc AE), which is C.

Now we can input the measure of arc AE into the equation. So, m∠ADE = 1/2 * 110, and we can find out that m∠ADE = 55°.

---

I hope this helps, let me know if you have any questions.

Answer:

  6554

Step-by-step explanation:

The sequence 2, -8, 32, -128 has a first term (a1) of 2 and a common ratio (r) of -8/2 = -4. The sum of n terms is given by ...

  Sn = a1·(r^n -1)/(r -1)

For your sequence, the sum of 7 terms is ...

  S7 = 2·((-4)^7 -1)/(-4-1) = 2(-16384/-5) = 6554

The sum of changes after the 7th day is 6554.

Answer:

C

Step-by-step explanation:

took test

Answer: I Thing the answer may be 7units. Please correct  me if i'm wrong  

Step-by-step explanation:

━━━━━━━☆☆━━━━━━━

▹ Answer

24

▹ Step-by-Step Explanation

2³ + 4²

= 2 * 2 * 2 → 8

= 4 * 4 → 16

8 + 16 = 24

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

24

Step-by-step explanation:

2³ + 4²

Solve for exponents first.

2³ = 2 × 2 × 2 = 8

4² = 4 × 4 = 16

8 + 16

Addition.

= 24

Answer:

9/28

Step-by-step explanation:

−6/7×−3/8and solve

−6 ×−3 OVER 7×8

=18/56

18÷2 OVER 56÷2=9/28 Therefore:

−6/7×−3/8=9/28

Answer:

Step-by-step explanation:

[tex] - \frac{6}{7 } \times \frac{ - 3}{8} [/tex]

Multiplying two negative equals a positive

[tex]( - ) \times ( - ) = ( + )[/tex]

[tex] \frac{6}{7} \times \frac{3}{8} [/tex]

Reduce the numbers with G.C.F 2

[tex] \frac{3}{7} \times \frac{3}{4} [/tex]

Multiply the fractions

[tex] \frac{3 \times 3}{7 \times 4} [/tex]

[tex] \frac{9}{28} [/tex]

hope this helps...

Good luck on your assignment...

Answer:

Approximately 16 feet

Step-by-step explanation:

If the playground has a square shape, then its area equals the square of the playground's side (S):

[tex]S^2=263 \,\,ft^2\\S = \sqrt{263} \,\,ft\\S\approx 16.217 \,\,ft \\S\approx 16\,\,ft[/tex]

Answer:

16 feet

Step-by-step explanation:

The area of a square can be found using the following formula.

[tex]A=s^2[/tex]

We know that the area of the playground is 263 ft^2. Therefore,

A=263 ft^2

[tex]263 ft^2= s^2[/tex]

We want to find out what s, the side length, is. s is being squared. The inverse of a square is a square root. Therefore, we must take the square root of both sides.

[tex]\sqrt{263 ft^2} =\sqrt{s^2}[/tex]

[tex]\sqrt{263ft^2}=s[/tex]

[tex]16.2172747 ft=s[/tex]

Round to the nearest foot. The 2 in the tenth place tells us to leave 16 as is.

[tex]16 ft=s[/tex]

The approximate length of each side of the playground is 16 feet.

Answer:

g(4) = -7

Step-by-step explanation:

g(x) = −2x + 1.

Let x=4

g(4) = -2*4 +1

      = -8+1

     = -7

Answer:

[tex]\boxed{g(4) = -7}[/tex]

Step-by-step explanation:

[tex]g(x) = -2x+1[/tex]

Put x = 4

[tex]g(4) = -2(4)+1\\g(4) = -8+1\\g(4) = -7[/tex]

Answer:

First part) measuring each plant at the same time each week

Second part) centimeters and the same

Step-by-step explanation:

Answer:

These heights could have been measured by measuring each plant at the same time each week.

The unit of measure for the heights is centimeters. The units must be the same for each data point in order to compare the rates of growth.

Answer:

[tex]Distance = \sqrt{(0 - a)^2 + (0 - 0)^2}[/tex]

[tex]Distance = a[/tex]

Step-by-step explanation:

Given

[tex]A = (0,0)[/tex]

[tex]B = (a,0)[/tex]

[tex]C = (a,b)[/tex]

[tex]D = (0,b)[/tex]

Required

Determine the distance between A and B

The distance between points is calculated as thus;

[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

Considering points A and B

[tex]A(x_1,y_1) = (0,0)[/tex]

[tex]B(x_2,y_2) = (a,0)[/tex]

Substitute values for [tex]x_1, x_2, y_1[/tex] and [tex]y_2[/tex] in the above formula

[tex]Distance = \sqrt{(0 - a)^2 + (0 - 0)^2}[/tex]

The above expression represents the distance between A and B;

However, it can be solved further as thus

[tex]Distance = \sqrt{( -a)^2 + (0)^2}[/tex]

[tex]Distance = \sqrt{a^2 + 0}[/tex]

[tex]Distance = \sqrt{a^2}[/tex]

[tex]Distance = a[/tex]

Hence, the distance between A and B is a

Answer:

The ball will reach the ground when h=0.

Set the equation equal to 0.

[tex]0=-8(2 t-4)(t+1)[/tex]

[tex]t=-1,2[/tex]

Step-by-step explanation:

The height of a golf ball after it has been hit from the top of a hill can be modeled by the equation

[tex]h=-8(2 t-4)(t+1)[/tex],

where h is the height in feet and t is time in seconds.  

When ball will reach the ground the distance between ball and ground is 0. So, the ball will reach the ground when h=0.

To find the time it takes for the ball to reach the ground,  set the equation equal to 0 and use the Zero Product Property to solve for $t$.

[tex]h=-8(2 t-4)(t+1)[/tex]

[tex]\Rightarrow 0=-8(2 t-4)(t+1)[/tex]

Solve the equation using the Zero Product Property.

[tex]2t-4=0\Rightarrow t=\dfrac{4}{2}=2[/tex]

[tex]t+1=0\Rightarrow t=-1[/tex]

So, [tex]t=-1,2[/tex]

Answer:

65/8 units ³

Step-by-step explanation:

V = l x w x h

l x w = 16 1/4 units² = 65/4 units²

h = 1/2 units

V = 65/4units² x 1/2units = 65/8 units ³