The mode of the set score is 96
The correct answer is b) The mode of the set score is 96.
What is mean, median and mode?The "mean" is the "average" of the set of values.
The "median" is the "middle" value in the list of numbers.
The "mode" is the value that occurs most often.
Now the given scores on 5 Science test are,
96, 7, 82, 96 and 89
So, Sum of all the scores = 96+7+82+96+89= 370
Mean :
Mean = Sum of all the scores / Number of tests
⇒ Mean = 370 / 5
⇒ Mean = 74
Median :
Median is the middle value after rearrangement
So, rearranging the scores we get,
7, 82,) 89,( 96, 96
Hence the median of the scores is 89
Mode :
Mode is the number occurring the most. Since 96 occurs the most, hence the mode is 96.
Thus, from the given option, the correct option is b) The mode of the set score is 96
Hence, the correct answer is b) The mode of the set score is 96.
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Which value is a solution of the inequality x∕5 + 2 ≤ 6?
[tex] \rm \frac{x}{5} + 2 \leqslant 6[/tex]
[tex] \rm x + 2 \leqslant 6 \times 5[/tex]
[tex] \rm x + 2 \leqslant 30[/tex]
[tex] \rm x \leqslant 30 - 2[/tex]
[tex] \rm x \leqslant 28[/tex]
[tex]\dfrac x5 +2 \leq 6 \\\\\\\implies \dfrac x5 \leq 4 \\\\\\\implies x \leq 20 \\\\\text{Interval,} ~ (-\infty, 20][/tex]
Given the points C (-7 , - 4) and (-1 , 5 ), find the coordinates of point E on directed line segment CD that partitions CD into the ratio 1 to 2.
Group of answer choices
(5, −1)
(1, −2)
(−5, −1)
(−10, 6)
The coordinates of point E on the given line CD is; Option C: (-5, -1)
We are given the points with coordinates;
C (-7 , - 4) and D(-1 , 5 )
Now, we are told that point E divides CD in the ratio 1:2.
Let coordinate of E be (x, y)
The formula to find (x, y) is;
x = (mx2 + nx1)/(m + n)
y = (my2 + ny1)/(m + n)
Where m:n is the ratio of the partition. Thus;
x = (1*-1 + 2*-7)/(1 + 2)
x = -15/3
x = -5
Similarly;
y = (1*5 + 2*-4)/(1 + 2)
y = -1
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Question 8 of 10 What is sin 30º? 60 2 901 D A B. c.. () E. E )
Answer:
A. [tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Trigonometry
[Right Triangles Only] SOHCAHTOA [Right Triangles Only] sinθ = opposite over hypotenuseStep-by-step explanation:
Step 1: Define
sin 30°
Step 2: Solve
Since sin is opposite over hypotenuse, we need to find the length of the opposite leg of the angle and the length of the hypotenuse.
Given the triangle and it's values, the opposite leg to the 30° angle is 1 and the hypotenuse is 2.
Substituting it into sin, we have:
sin 30° = 1/2 = 0.5
∴ our answer is A.
i need help on this math problem
Answer:
I can't see the problem I am blind but still very hard to see it's not quite clear
Translate the sentence to an equation. Then solve and check.
3/4 of a number is equal to 36.
The equation is [?] . (Type an equation using x as the variable.)
The solution is x= [?] . (Simplify your answer.)
Suppose that x is that number thus:
[tex] \frac{3}{4} x = 36 \\ [/tex]
Multiply both sides by 4
[tex]4 \times \frac{3}{4} x = 4 \times 36 \\ [/tex]
[tex]3x = 144[/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{144}{3} \\ [/tex]
[tex]x = 48[/tex]
There u go...
Have a great day ❤
Step-by-step explanation:
3/4 of x=36
the equation is algebra
3/4×x=36
3/4x=36
36×4/3
=28
Please help!!
Determine whether the inverse of F(x) is a function.
Answer:
Two crates, A and B, are connected with a rope of negligible mass over a frictionless pulley as represented in the diagram shown on the left. The crates are at rest.
Crate A has an unknown mass and hangs vertically to the right of the slope and crate B, with mass 14 kg, hangs on the slope to the left. The slope makes and angle of 68° with the horizontal.
The coefficient of static friction between crate B and the surface of the slope is 0.3. The direction of the frictional force is up the slope. Calculate the mass of crate A.
Find the equation of the line through (2,1) which is parallel to the line y=−7x−1.
Give your answer in the form y=mx+b
Answer:
y=-7x+15
Step-by-step explanation:
Dr. Brennen donated 49 duffle bags of First-aid kits to the Bahamas Red Cross. Each bag
contained 604 First-aid kits. How many First-aid kits did the Red Cross receive in all?
Answer:
29,596 first aid kits
Step-by-step explanation:
This is a multiplication problem. There are 604 kits in each duffle bag, and there are 49 duffle bags, so the equation is 604 x 49.
In the first step, we multiply 604 by 9 to get 5,436. In the second, we multiply 604 by 40 to get 25,160. Then we add the two numbers together to get 29,596.
Hope this helped :)
WILL GIVE BRAINIEST IF CORRECT
Which of the following doesn't belong? Explain.
Step-by-step explanation:
a. 5x² - 80
b. 5(x² + 4x - 4x -16)
5(x² - 16)
5x² - 80
c. 5x² - 20x + 20x - 80
5x² - 80
d. 5x² - 11
D doesn't belong because 5x² - 11 is not the answer to A, B, or C.
3
Which number line shows a number equivalent to
1 Sume
Choose 1 answer:
ctions
++
wat tract
>
2
0
1
A
U
HHH
iz 1
X 8 min
>
2
0
1
N
ctions
FE
4HHHH
0
>
2
1
iz 2
6 3 mor
Answer: B
Step-by-step explanation:
2/3 means 1.5
12
Fill in the blank: What's the length of the missing
side?
Ilype your answer
Answer:
13
Step-by-step explanation:
Using Pythagoras Theorem:
[tex]a^2+b^2=c^2[/tex]
Substitute values of a and b:
[tex]5^2+12^2=25+144=169[/tex]
[tex]c^2=169\\c=13[/tex]
The length of the missing side is 13.
solve: |2(x-5)|+11=17
Answer:
x = 8, x = 2
Step-by-step explanation:
|2(x-5)|+11=17
|2(x-5)| = 6
|(x-5)| = 3
x = 8 AND x = 2 because of the absolute value.
Brainliest, please :)
The solution of the given equation will be x = 2 and 8.
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
The expression is;
| 2 (x - 5) | + 11 = 17
Now, Solve the expression is;
| 2 (x - 5) | + 11 = 17
Subtract 11 both side,
| 2 (x - 5) | + 11 - 11 = 17 - 11
| 2 (x - 5) | = 6
Reduce modulus we get;
2 (x - 5) = ±6
Take positive sign,
2 (x - 5) = 6
x - 5 = 6/2
x - 5 = 3
x = 3 + 5
x = 8
And, Take negative sign,
2 (x - 5) = -6
x - 5 = -6/2
x - 5 = -3
x = 5 - 3
x = 2
Thus, The solution of the given equation will be x = 2 and 8.
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Keith’s Florists has 15 delivery trucks, used mainly to deliver flowers and flower arrangements
in the Greenville, South Carolina, area. Of these 15 trucks, 6 have brake problems. A sample
of 5 trucks is randomly selected.
a. What is the probability that 2 of those tested have defective brakes? (5 marks)
b. Is this a discrete or continuous distribution? Explain.
Answer:
= 0.419
Step-by-step explanation:
in pic
(Hope this helps can I please have brainlist (crown)☺️)
Find the equation of the line passing through the point (-5,2) with slope 1/3. Show work.
Hello!
First, let's write our equation in point-slope form.
Point-Slope Form:
y-y1=m(x-x1)
y1= the y-coordinate of the point
m=the slope
x=the x-coordinate of the point
y-2=1/3(x-(-5)
y-2=1/3(x+5)
y-2=1/3x+5/3
y=1/3x+5/3+2
y=1/3x+3.7
Hope it helps.
~A smiley teen
#CarryOnLearning
[tex]MagicalNature[/tex] here to help
Un estudiante de Astronomía sabe que Venus le da la vuelta al Sol 225 días y Marte 687 días . Si sabe que la última vez que v s , tierra y Marte se alinearon fue hace 1805645 días , ¿ en cuanto tiempo se volverán a alinear los 3 planetas al mismo punto?
AT WHAT X-VALUE DOES A
RELATIVE MINIMUM
OCCUR?
Answer:
x ≈ 4.239
Step-by-step explanation:
A relative minimum is found at the bottom of any U-shape on the graph. If you expand the graph shown until it has a suitable scale, it can show you the relative minimum occurs at x ≈ 4.239.
__
Additional comment
The relative maximum occurs at the top of any ∩-shape. The graphing calculator can show you that occurs at x ≈ -1.573.
Savanna have 40 iris blooms last year this year she had 50% more iris blooms how many more iris blooms did savanna have this year
Answer:
6
Step-by-step explanation:
Frank had 42 rocks that he wanted to share with his friends. If he gave each friend the same number of rocks(and kept the same number of rocks for himself), how many rocks did each person get ?
Answer:6. 42 split 7 ways is 6
Step-by-step explanation:
A patient has an illness that typically lasts about 24 hours. The temperature, T, in degrees Fahrenheit, of the patient t hours after the illness begins, is given by: T(t) = -0.013t^2 + 0.3172t +98.6. When does the patient reach its maximum value? what is the patient's maximum temp?
Answer:
no entiendo, perdóname, suerte
may's dog weighed 16kg. the dog lost 800g after it fell ill.
Answer:
15200g
Step-by-step explanation:
Hope the Dog gets better XD
Step-by-step explanation: First you have to convert kilograms to grams. You have to multiply kilograms by 1,000 to get grams. 16kg*1,000=16,000. Then do this 16,000-800=15,200
Solve 4x-4 < 7x - 19
Answer:
x<5
Step-by-step explanation:
cuz im a methnerd l
Answer:X>5
Step-by-step explanation:
Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day? a) 1.25 O b) 1.5 c) 1 O d) 2
I think the answer is a but I'm not sure I'm really a little confused I want to check with this app please can someone heelp me
-3, -8, -13, -18,.. Find the nth term
Answer:
The nth term of the sequence is -5n + 2 (or 2 - 5n)
Answer:
[tex]a_{n}[/tex] = - 5n + 2
Step-by-step explanation:
There is a common difference between consecutive terms , that is
- 13 - (- 8) = - 18 - (- 13) = - 5
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = - 5 , then
[tex]a_{n}[/tex] = - 3 - 5(n - 1) = - 3 - 5n + 5 = - 5n + 2
HEEEEELP!!!!! what are 5 expressions that are equivelent to 8x+16
Answer:
8x + 16 = 2(4x + 8) = 4(2x + 4) = 8(x + 2) = 16((1/2)x + 1) = -8(-x - 2)
Step-by-step explanation:
A teacher always arranged the content of his lessons as teaching and practicing learnt skills in the ratio 3: 2 If a lesson lasted for 45 minutes. How much teaching would he do?
HELP PLSSS !!!
Answer:
27 minutes
Step-by-step explanation:
3 + 2 = 5
45 / 5 = 9
3 * 9 : 2 * 9
27 : 18
A line has a slope of –8 and includes the points (5,–3) and (4,z). What is the value of z?
A rectangular garden is 20ft longer than it is wide. It’s area is 6300ft^2. What are its dimensions
Answer:
Length = 90 feet
Width = 70 feet
Step-by-step explanation:
The area of a rectangle is found by finding the product of the length. Therefore, the following formula equation can be made:
[tex]A=lw[/tex]
The problem tells us that the area of the garden is 6,300 square feet and that the length is 20 feet longer than the width. Therefore, our equation can be rewritten as such:
[tex]6300=(w+20)(w)~or~6300=w(w+20)[/tex]
Now that there are no longer two different variables, we can solve for w.
[tex]6300=w(w+20)\\\\6300=w^2+20w\\\\0=w^2+20w-6300[/tex]
We are left with a trinomial so we'll use the quadratic formula to further solve for w.
[tex]w=\frac{-20\pm\sqrt{20^2-4(1)(-6300)} }{2(1)}\\\\w=\frac{-20\pm\sqrt{400+25200} }{2}\\\\w=\frac{-20\pm\sqrt{25600} }{2}\\\\w=\frac{-20\pm160}{2}\\\\\\w=70\\or\\w=-90[/tex]
Since distance cannot be negative, w = -90 cannot be a solution for this problem. Therefore, the width of the rectangular garden is 70 feet.
Now that the width has been found, we know the length is 20 feet longer than it. Therefore, the length is 90 feet.
**PLEASE ANSWER OMG LITERALLY EVERY TIME I TRY POSTING A QUESTION NO ONE EVER ANSWERS**
The rectangle below is dilated by a scale factor of 3/2. Find the area of the dilated rectangle.
Answer:
108 square units
Step-by-step explanation:
When the dimensions are multiplied by 3/2, they become ...
8·3/2 = 12
6·3/2 = 9
Then the area of the dilated figure is ...
A = LW
A = 12·9 = 108 . . . . square units
_____
Additional comment
If you're paying attention, you see that the original area is multiplied by the square of the scale factor.
A = LW
A = (8·3/2)(6·3/2) = (8·6)·(3/2)²
This is generally true for the area of scaled figures: the original area is multiplied by the square of the scale factor to get the area of the scaled figure.
What is the mean? 3 8 7 2 9 6 6 7
Answer:
6
Step-by-step explanation:
To find the mean, you add up all the numbers and divide that by the number of numbers there are.
In this case, the total is [tex]3+8+7+2+9+6+6+7=48[/tex]
There are 8 numbers.
Thus, the mean is 48 ÷ 8 = 6
Hey there!
When you hear/see the word “mean” in mathematics it usually means “average” or “total”.
Formula: sum of the total numbers ÷ total numbers in the data plot
YOUR EQUATION:
3 + 8 + 7 + 2 + 9 + 6 + 6 + 7 ÷ 8
= 11 + 7 + 2 + 9 + 6 + 6 + 7 ÷ 8
= 18 + 2 + 9 + 6 + 6 + 7 ÷ 8
= 20 + 9 + 6 + 6 + 7 ÷ 8
= 29 + 6 + 6 + 7 ÷ 8
= 35 + 6 + 7 ÷ 8
= 41 + 7 ÷ 8
= 48 ÷ 8
= 6
Therefore, your mean is: 6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
On the following set of axes, create the graph of a function f (x) with the following characteristics:
Passes through the points,
(-8,0), (5,-2) and (8,3)
Functions can be represented on graphs and graphs can also be represented as functions.
The given parameters are:
Points = (-8,0), (5,-2) and (8,3)
Absolute Maximum = (-4,5)
Absolute Minimum = (2,-6)
Start by plotting the points (including the absolute maximum and the absolute minimum) without connecting the dots (see attachment 1)
The decreasing interval [tex]\mathbf{-4 \le x \le 2}[/tex] implies that the graph decreases from x =-4, to x =-2
See attachment (2) for the rough sketch of the graph that represents the given points and the decreasing interval
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