In a mathematics class, half of the students scored 79 on an achievement test. With the exception of a few students
who scored 49, the remaining students scored 78. Which of the following statements is true about the distribution of
scores?
WILL MARK BRAINLIEST
Answers
The mode is 79 (that’s the most common number).
The median is 78.5 (the middle value or the average of the two middle values, since there is an even number of test scores).
The mean is less than both of those, as it was brought down by the few scores of 49.
The means the mean will be less than median.
Answer: C
Related Questions
Help thank you ………….
Answers
Answer:
The answer is option 1
Step-by-step explanation:
For the linear inequality on the top line of the system, it's saying that the y-value must be greater than or equal to 1. This is verified by the graph because all y-values that fit the criteria of the linear inequality are shaded. The graph is also showing for the dotted line that the area is shading all points where, if you subtract an x-value from a y-value, the difference will always be greater than 0. Note that this does not apply for points ON the line, as it cannot be equal to 0. This matches with the linear inequality on the bottom line of option 1.
kindly help answering the question.
Answers
Answer:
[tex]\displaytstyle \theta \approx \left\{16.3249^\circ, 59.6388^\circ, 196.3249^\circ, 239.6388^\circ\right\}[/tex]
Or, their exact solutions:
[tex]\displaystyle \theta = \left\{\arctan\frac{2-\sqrt{2}}{2} , \arctan\frac{2+\sqrt{2}}{2}, 180^\circ + \arctan\frac{2-\sqrt{2}}{2}, 180^\circ + \arctan\frac{2+\sqrt{2}}{2}\right\}[/tex]
Step-by-step explanation:
We want to solve the equation:
[tex]\displaystyle 2\sec^2 \theta = 4\tan \theta + 1[/tex]
For 0° ≤ θ ≤ 360°.
Recall that tan²(θ) + 1 = sec²(θ). Substitute:
[tex]\displaystyle 2\left(\tan^2 \theta + 1\right) = 4\tan \theta + 1[/tex]
Distribute:
[tex]\displaystyle 2\tan^2\theta + 2 = 4\tan\theta + 1[/tex]
Isolate:
[tex]\displaystyle 2\tan^2\theta - 4\tan\theta + 1 = 0[/tex]
This is in quadratic form. Thus, we can solve it like a quadratic. Let u = tan(θ). Hence:
[tex]\displaystyle 2u^2 - 4u + 1=0[/tex]
The equation is not factorable. Therefore, we can consider using the quadratic formula:
[tex]\displaystyle x = \frac{-b\pm\sqrt{b^2 -4ac}}{2a}[/tex]
In this case, a = 2, b = -4, and c = 1. Substitute and evaluate:
[tex]\displaytstyle \begin{aligned} u &= \frac{-(-4)\pm\sqrt{(-4)^2 - 4(2)(1)}}{2(2)} \\ \\ &= \frac{4\pm\sqrt{8}}{4} \\ \\ &= \frac{4\pm2\sqrt{2}}{4} \\ \\ &= \frac{2\pm\sqrt{2}}{2}\end{aligned}[/tex]
Therefore:
[tex]\displaystyle u = \frac{2+\sqrt{2}}{2} \approx 1.7071\text{ or } u = \frac{2-\sqrt{2}}{2}\approx 0.2929[/tex]
Back-substitute:
[tex]\displaystyle \tan\theta = \frac{2+\sqrt{2}}{2} \text{ or } \tan \theta = \frac{2-\sqrt{2}}{2}[/tex]
Take the inverse tangent of both equations. Hence:
[tex]\displaystyle \theta = \arctan\frac{2+\sqrt{2}}{2} \approx 59.6388^\circ\text{ or } \theta = \arctan\frac{2-\sqrt{2}}{2}\approx 16.3249^\circ[/tex]
The same value of tangent occurs twice in every full rotation. Hence, by reference angles, the other two solutions are:
[tex]\displaystyle \theta = 180^\circ + \arctan\frac{2+\sqrt{2}}{2} \approx 239.6388^\circ \\ \\ \theta = 180^\circ + \arctan\frac{2-\sqrt{2}}{2} \approx 196.3249^\circ[/tex]
In conclusion, the four solutions are:
[tex]\displaystyle \theta = \left\{\arctan\frac{2-\sqrt{2}}{2} , \arctan\frac{2+\sqrt{2}}{2}, 180^\circ + \arctan\frac{2-\sqrt{2}}{2}, 180^\circ + \arctan\frac{2+\sqrt{2}}{2}\right\}[/tex]Or, approximately:
[tex]\displaytstyle \theta \approx \left\{16.3249^\circ, 59.6388^\circ, 196.3249^\circ, 239.6388^\circ\right\}[/tex]
If , then the ordered pair of f -1(10) = (10, 31) (10, 3) (3, 10)
help asap
Answers
Answer:
B
Step-by-step explanation:
f^(-1) (x) = (x-1)/3
f^(-1) (10) = (10-1)/3 = 3.
Evaluate 2(x-4) + 3x - x2 for x = 3.
Answers
Answer:
-2
Step-by-step explanation:
Simply plug 3 into the equation and follow the order of operations.
2(3 - 4) + (3(3)) - (3^2)
2(-1) + (9) - (9)
= -2
2(7)+9-6
14+3
=17
Ella buys eggs and apples at the store.
She pays a total of $44.35.
• She pays a total of $2.95 for the eggs.
• She buys 6 bags of apples that each cost the same amount.
Write and solve an equation which can be used to determine x, how much each bag
of apples costs.
Equation:
Answer: X =
Submit Answer
Answers
Answer: x = 6.9
Step by step:
2.95 + 6x = 44.35
-2.95 -2.95
6x = 41.4
divided by 6 on both sides
x = 6.9
Greyson will get a discount on his health insurance if he participates in their weekly step-challenge program and logs 50,000 steps a week. If his monitor calculates each step to be 2 feet, how many miles is he supposed to walk each week?
Answers
Greyson will need to walk "18.94 miles" each week. A complete solution is provided below.
According to the question,
One step's length,
= 2 feet
Total number of steps,
= 50,000
then,
→ The total distance travelled will be:
= [tex]50000\times 2[/tex]
= [tex]100000 \ feet[/tex]
We can say that the relation between feet and miles will be 5280 ft,
= 1 mile
hence,
→ [tex]100000 \ feet = \frac{100000}{5280}[/tex]
[tex]=18.94 \ miles[/tex]
Thus the above is the correct answer.
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Find the area of the triangle.
A. 75 km²
B. 107.3 km²
C. 84.3 km²
D. 71.8 km²
Answers
Answer:
A. 75 km²
Step-by-step explanation:
The area of a triangle
A =1/2 ab sin C where a and b are the lengths of the sides and C is the included angle
A = 1/2 (14)(11) sin (77)
A = 75.0264949885
In Evan's math class, there are 7 boys and 10 girls. Which of the following is the ratio of boys to girls in Evan's math class?
Answers
Answer:
7/17
Step-by-step explanation:
-15 + 8x = x + 3
STEP BY STEP
Answers
[tex] - 15 + 8x = x + 3 \\ 8x - x = 3 + 15 \\ 7x = 18 \\ \\ x = \frac{18}{7} \\ \\ x = 2.571[/tex]
We put the unknown on one side, and the other end is empty of the unknown , When it turns to the other side, its sign changes.
As for the number with the unknown, it becomes the denominator with the number without the unknown.
I hope I helped you^_^
The set of even natural numbers greater than or equal to 6
Answers
Answer:
{6, 8, 10, 12, 14, 16, 18, 20, ...}
Step-by-step explanation:
even natural numbers >/= 6.
Thus this has no upper limit and the set is thus infinite.
The set of even natural numbers greater than or equal to 6 is
What are the natural numbers?" The natural numbers are those numbers used for counting and ordering. Numbers used for counting are called cardinal numbers."
We know the natural numbers are:
{1, 2, 3, 4, 5, 6, 7,..........}
Now, the set of even natural numbers are:
{2, 4, 6, 8, 10...........}
Therefore, the set of even natural numbers greater than or equal to 6 is
{6, 8, 10, 12,..............}
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Which of the following does not represent a proportional relationship?
A. Zoe earns a base salary of $500 plus 3% commission
B. Dane drove 200 miles at a consistent speed for four hours
C. Water leaks from the faucet at a rate of 1/2 of a liter per hour
D. A recipe for biscuits calls for 3 cups of flour and 1 1/2 teaspoons of baking soda
Answers
Step-by-step explanation:
the correct aanswer is 3 is correct answermark me bbrainleast plz
Answer:
d is the answer
Step-by-step explanation:
mark me as brilliant
MATH
NATION
An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points A(15,21);
B(8,21); C(8,10); D(13,8); E(19,14.5), shown in feet. The walls are 11 feet high.
The museum is going to paint four of the walls: AB, BC DE, and AE. Assume one gallon of paint is enough to cover 147
square feet
How many gallons of paint should the museum purchase? Enter your answer as a whole number.
12
1
Answers
9514 1404 393
Answer:
3 gallons
Step-by-step explanation:
When calculations are repetitive, I find it convenient to use a spreadsheet to do them. The formulas used are ...
distance between points (x1, y1) and (x2, y2) = √((x2-x1)² +(y2-y1)²)
length of walls to be painted: AB +BC +DE +EA = 34.5 ft
area of walls to be painted: (length)(11 ft) = 379.3 ft²
gallons of paint needed: area/(147 ft²/gallon) = 2.6 gal
About 3 gallons of paint are needed to paint 4 walls of the room.
Jessica made 2 pounds of fudge. How many -pound servings are in the 2 pounds of fudge?
Answers
Answer:
2
Step-by-step explanation:
2 pounds of fudge ÷ 1 pounds servings = 2 servings
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer: 8
Step-by-step explanation:
When both quantities in a rate are fractions, what strategy
do you use to write the rate as a unit rate?
Answers
When both quantities in a rate are fractions, the strategy to write the rate as a unit rate is to divide both the numerator and denominator of the rate by their greatest common factor (GCF) to simplify the fraction.
To write the rate as a unit rate:
1. Identify the rate, which is a fraction with a numerator and a denominator.
2. Find the greatest common factor (GCF) of the numerator and denominator.
3. Divide both the numerator and denominator by the GCF to simplify the fraction.
4. The resulting simplified fraction is the unit rate.
For example, if the rate is 3/6, the GCF of 3 and 6 is 3. Divide both the numerator and denominator by 3:
3/6 ÷ 3/3 = 1/2
So, the unit rate of 3/6 is 1/2.
By converting the rate to a unit rate, we make it easier to compare the rate for a single unit of one quantity to a single unit of the other quantity, making it more convenient for comparison and analysis.
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Any mathematician to help me do this question.
Answers
9514 1404 393
Answer:
70
Step-by-step explanation:
If we consider the terms to have decreasing powers of x, then the middle term is the one with x^4y^4 as its variables. The full value of that term is ...
(8C4)(2x)^4(3y)^4 = 70(6xy)^4
Substituting for x and y, this is ...
70(6(1/3)(1/2))^4 = 70(1^4) = 70
The middle term is 70 when (x, y) = (1/3, 1/2).
_____
The value of nCk is n!/(k!(n-k)!). Then 8C4 is 8!/(4!)^2 = (8·7·6·5)/(4·3·2·1) = 70.
Amanda was given three numbers: 8,
5, and 1. She needs to use two of
these numbers to make a fraction.
Can she make a fraction that is
greater than four-fifths?
Answers
Answer:
Yeah, She can.
Step-by-step explanation:
Simply using 8/5
i’ll give brainliest pls
i need to finish this quickly, i need part a b and c
Answers
C 70
I got it right
What is the differentiation of 2cos2x
Answers
2cos2x=y
dy/dx(2cos2x)=-4sin2x
d/du cosu= u'×cos'u=-u'×sinu
d/du sinu= u'×sin'u= u'×cosu
d/du tanu = u'×(1+tan²u)
d/du cotu = u'×-(1+cot²u)
proof for cosu :
cos2x= 1-2sin²x
or 2cosx²-1
or cos²x-sin²x
we will one of this fro example let's take the first one
d/dx 1-2sin²x=0-2×2(sinx)×cosx=-2sin2x
and we have 2 in the begining so its -4sin2x
Triangle ABC is similar to triangle DEF with a ratio of 3/5 If the difference of their
perimeters is 40 inches, find the perimeter of each triangle.
Answers
9514 1404 393
Answer:
ΔABC -- 60 inchesΔDEF -- 100 inchesStep-by-step explanation:
If P is the perimeter of the larger triangle, then 3/5P will be the perimeter of the smaller one. The difference in perimeters is ...
P -3/5P = 40 in
2/5P = 40 in
P = (5/2)(40 in) = 100 in
3/5P = 3/5(100 in) = 60 in
The smaller triangle perimeter is 60 in; the larger is 100 in.
IF
(3x + y = 10
\x-4y=-1
then
n y =
Answers
Answer:
n | 0 | 0 1
| y 2 | 2 y 3 | 3 años
Step-by-step explanation:
Hello! Can someone please answer the photo? I honestly forgot about Prime Factorization... No links please and thank you!
Answers
Answer:
D
Step-by-step explanation:
im thinking its d, because prime factorisation is a way of expressing a number as a product of its prime factors.
a isn't correct since 9 isn't is a prime number.
b isn't correct because you wouldn't use decimals typically.
c isn't correct because 1 is not a prime number.
d is the only correct solution since all the numbers listed are prime numbers.
Can’t figure out number 32 plzzzz help
Answers
Answer:
Area = 80
Step-by-step explanation:
area = a^2 = 4^2 = 16 = square
area = wl = 12*8 = 96 = rectangle
rectangle - square
96 - 16 = 80
(65x - 12) angle a
(43x+10) angle b
it’s a vertical angle I just don’t understand.
Answers
Answer:
x = 1
Step-by-step explanation:
Vertical angles are opposite angles formed by two lines.
Both the angles are equivalent
65x - 12 = 43x + 10
Subtract 43x from both sides
22x - 12 = 10
add 12 from both sides
22x = 22
Divide each side by 22
x = 22/22
x = 1
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Given P(A) = 0.6 and P(B) = 0.8, do the following. If A and B are independent events, compute P(A and B)
Answers
Answer:
0.48
Step-by-step explanation:
[tex]0.6*0.8 = 0.48[/tex]
You have 10 pounds of egg whites. You need 6 Oz to make one serving of consommé. How many servings can you make?
Answers
Here, we want to solve for the number of servings 10 pounds of egg whites can make
Number of servings 10 pounds of egg whites can make is approximately 27 servings
1 pound = 16 ounce
10 pounds = 160 ounce
Quantity of egg whites available = 10 pounds
Quantity of egg whites per serving = 6 oz
Number of servings 10 pounds can make = Quantity of egg whites available / Quantity of egg whites per serving
Recall,
10 pounds = 160 oz
= 160 oz / 6 oz
= 26.67
Approximately,
27 servings
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translate the sentence into an equation five times the sum of a number and 7 is 8
Answers
Answer:
5(n+7)=8
Step-by-step explanation:
John's bank account was overdrawn. The status of his account was -$112. He did not realize the problem and wrote another check for $22. The bank charged him a $21 fee for being overdrawn.
What was the new status of John's account at this point?
Answers
Answer:
-155
Step-by-step explanation:add them all up together
The new status of John's account at this point is -$155
Using this formula
New status=(-Account status-Cheque amount)-Bank charges
Let plug in the formula
New status= (-$112-$22)-$21-
New status=-$134-$21
New status=-$155
Inconclusion The new status of John's account at this point is -$155
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Please help it’s due tomorrow!!
Answers
Answer:
-5/3
Step-by-step explanation:
Answer:
13 + 7/9-5-16
answer : -5/3
use BODMAS to solve this question
find the value of xand y : x=2y and x+y=9
Answers
{x = 2y
{x + y = 9
{x = 2y
{2y + y = 9
{x = 2y
{3y = 9 / : 3
{y = 3
{x = 2 · 3
x = 6 and y = 3
Helpp
Ok I don’t know how they got 3y-24
Answers
Answer:
y = -5/3x + 3
Step-by-step explanation:
First lets turn the equation from standard form to slope intercept form.
3x - 5y = 1
~Subtract 3x to both sides
-5y = 1 - 3x
~Divide -5 to everything
y = -1/5 + 3/5x
~Reorder
y = 3/5x - 1/5
Now that we have the equation in slope intercept form, we can find the new equation. A perpendicular line will have the opposite reciprocal of the original slope.
3/5x -> -5/3x
Now that we have the slope, we can use the given point to find the y-intercept.
y = -5/3x + b
8 = -5/3(-3) + b
8 = 5 + b
3 = b
Put all the information we solved for into a final equation.
y = -5/3x + 3
Best of Luck!