Answer:
171 points.
Step-by-step explanation:
If five test scores have a mean of 90, all the scores added together will be 5 * 90 = 450.
The middle score is 91, so the other four scores added together will be 450 - 91 = 359.
The mode is higher than the median, so we can assume that the highest two numbers are the same: 94. 94 * 2 = 188. 359 - 188 = 171.
That means that the sum of the two lowest test scores is 171 points.
Hope this helps!
Answer:
The sum of the two lowest test scores is 171.
Step-by-step explanation:
We see that there are 5 test scores, so the median ( middle score ) was not taken to be the average of the two middle scores. It is an element present in the set of five test scores. The mode of course has to be present in the set, but multiple times. If we can figure out how many times this mode is present in the set, it would help us.
As 91 is the middle value, there has to be two above 91. Therefore, as 94 appears the most frequent, is must appear twice.
Now another key thing we need here is the sum of all 5 numbers. Given a mean of 90, 90 [tex]*[/tex] 5 = the sum of all 5 numbers = 450. Therefore, the sum of the two lowest test scores should be = 450 - 94 - 94 - 91 = 171 - which is our solution.
Write the other side of this equation so it's true for no values of x;
1/2(6x-10)-x =
Answer:
1/2(6x-10)-x = 2x +3
Step-by-step explanation:
1/2(6x-10)-x =
Distribute
3x -5 -x
2x -5
We need to other side to be of the form 2x - constant where the constant is not equal to 5
2x-5 = 2x+3
Subtract 2x from each side
-5 =3
This is not true so there is no solution
simplify the expression
[tex]8p + 10 + - 2p - 1 + 10[/tex]
Answer:
6p+19
Step-by-step explanation:
combine like terms:
8p+10+-2p+-1+10
(8p+-2p)+(10+-1+10)
6p+19
HOPE THIS HELPS!!!!!!:)
The gradient at any point on the curve y=f(x) is given by the equation dy/dx=1/✓x-2.The curve passes through the point (2,3).Find the equation of this curve.
Answer:
y = -1.71x + 6.42
Step-by-step explanation:
The gradient at any point on the curve is given by the expression;
[tex]\frac{dy}{dx} = \frac{1}{\sqrt{x } - 2} \\[/tex]
At the point (2,3), the gradient of the curve will be:
[tex]\frac{dy}{dx}|(x = 2) = \frac{1}{\sqrt{ 2}-2 } \\\\\frac{dy}{dx}|(x = 2) = m = - 1.71[/tex]
The equation of this curve at this point can be given by:
[tex]y - y_1 = m(x-x_1)[/tex]
Where [tex]x_1 =2, y_1 = 3[/tex]
Substituting these values into the given equation:
[tex]y - 3 = -1.71(x-2)\\y - 3 = -1.71x + 3.42\\y = -1.71x + 3.42 + 3\\y = -1.71x + 6.42[/tex]
Find an equation of the line: through the point (2, −4) with a y-intercept of −2. PLEASE HELP ONLY 20 MINS LEFT
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
Chelsey puts twelve colored pieces of chocolate candy in a bag. Three pieces are green, four pieces are yellow, two pieces are purple, and three pieces are red. She draws one piece of candy from the bag at a time and eats it.
A. What is the probability that Chelsey will draw out three pieces of candy in this order: red, green, yellow?
B. What is the probability that Chelsey will draw out three pieces of candy in this order: green, yellow, red?
C. What is the probability that Chelsey will draw out three pieces of candy in this order: yellow, red, green? D. Make a conclusion about how the order in which she draws out the red, green, and yellow pieces affects the probability.
The probabilities are as follows A.3/10, B. 1/5, C. 1/10, D. 2/5
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Letitia tells her son, Evan, to close his eyes and pick out one piece of candy from the package. Calculate the probability of selecting each colour of candy.
The probability will be calculated as:-
The probability that Chelsey will draw out three pieces of candy in this order: red, green, yellow
3/10
The probability that Chelsey will draw out three pieces of candy in this order: green, yellow, red
1/5
The probability that Chelsey will draw out three pieces of candy in this order: yellow, red, green
1/10
The order in which she draws out the red, green, and yellow pieces affects the probability.
2/5
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QUESTION 8
Simplify the expression
(5-4 (25)*)?
expressing the answer as a power of 5.
Step-by-step explanation:
Do you mean (5-4)*(25) or 5-4(25)
(5-4) * (25)
= 5^2
Or
5-4(25)
=5 - 100
=-95
?
Does anyone know this one! Thanks
Answer: 22.4 cm!
Step-by-step explanation:
If you have the measurements of one side of an equal sided octagon, then you multiply that number (which in this case is 2.8) by 8. Hope this helps!
FIRST GETS BRAINLLEST HURRYYYY Jon spins the spinner below 200 times. Predict how many times the spinner landed on blue.
Answer:
1/2
Step-by-step explanation:
There are four spots in total in the circle. Two of them are blue. Therefore, the probability of it lading on blue is 2/4, which simplifies to 1/2. Hope this helped.
Hi. Please i need help with these questions ; 1. I spent 7/32 of my income housing , 1/4 of it on food and 1/8 of it on transport . What fraction of my income do i have left a . 7/32 b 9/32 c. 13/32 d. 15/32 e. 19/32 workings please
Answer:
C: 13/32
Step-by-step explanation:
Change 1/4 and 1/8 into 4/32 and 8/32 and add them up with the 7/32 and then subtract the top and you have your answer
Answer:
13/32 left over.
Step-by-step explanation:
First, you would want to convert the 1/4 and 1/8 to ?/32. You would get: 7/32 on housing, 8/32 on food, and 4/32 on transportation.
To get those numbers this is what you do: 1/4 was spent on food. 32 divided by 4 is 8. So that would be 8/32. I hope you understand, because I'm not that good at explaining!
Then you add those up: 7/32 + 8/32 + 4/32. You would get 19/32 as your total, which means you have 13/32 left over. I hope this helped!
30 points will give brainliest to whoever gets it right
Answer:
8(.5)^x
Step-by-step explanation:
This is only broken up into two main parts: the "a" and the "b" of the equation.The "a" is the y-coordinate when x is at 0 and the y-coordinate is 8 there so that fills it in.The "b" is the rate at which for every time x increases by 1, the y decreases by a portion of its current. In this case, every time the x increases by one, the y value cuts in half which means the rate is .5 or one half.Therefore, the answer is 8(.5)^xIf A = 8! and B = 8P8, then which one of the following is true: A > B not enough information A < B A = B
Answer:
A = B
Step-by-step explanation:
A = 8! = 8*7*6*5*4*3*2*1 = 40320
B = 8P8 = 8! / ( 8-8)! = 8! = 0! = 8! /1 = 8! = 40320
A = B
Which best describes the relationship between the lines with equations -36x + 8y = 16
and -9x + 2y = 4?
Answer:
Infinitely many solutions.
Step-by-step explanation:
-36x + 8y = 16
-9x + 2y = 4
4(-9x + 2y = 4)
-36x + 8y = 16
Now, we can see that the two lines are exactly the same, which means that they have infinitely many solutions.
Hope this helps!
What is a Stem-and-Leaf plot?
4-5 sentences.
Answer:
A stem and leaf plot is a special table where each data value is split into a "stem" (the first digit or digits) and a "leaf" (usually the last digit). The "stem" values are listed down, and the "leaf" values go right (or left) from the stem values.
Step-by-step explanation:
Example: Long Jump
Sam got his friends to do a long jump and got these results:
long jump
2.3, 2.5, 2.5, 2.7, 2.8 3.2, 3.6, 3.6, 4.5, 5.0
And here is the stem-and-leaf plot:
Stem Leaf
2 3 5 5 7 8
3 2 6 6
4 5
5 0
Stem "2" Leaf "3" means 2.3
Note:
Say what the stem and leaf mean (Stem "2" Leaf "3" means 2.3)
In this case each leaf is a decimal
It is OK to repeat a leaf value
5.0 has a leaf of "0"
A certain worker makes $12 per hour for the first 40 hours and $18 for every hour more than 40. Compute her pay for working 45 hours.
Answer: $570
Step-by-step explanation:
She worked 5 hours more than 40. Thus, for her extra hours she made 18*5, or $90. For her other 40, she made 40*12, or $480. Thus, she made 480+90 dollars, or $570.
Hope it helps <3
Answer:
$570
Step-by-step explanation:
Since she is working 40 hours you need to multiply 12 · 40 first and should get 480
Since there is an extra 5 hours you need to do 18 · 5 = 90
Lastly, you add 480 and 90 and you will get 570
i need help plz help
Answer:
B. 70%
Step-by-step explanation:
7/10 of the numbers are more than 5
7/10= 70%
Answer:
Option B
Step-by-step explanation:
This is a nice and simple question. Here we can assume that next year, will be somewhat related to this graph - so this is only the theoretical probability. Therefore, if we can calculate the probability with which there are more than 5 inches of rain, it will apply to the next year as well.
____________
Taking a look at the graph, we see that 7 out of the 10 years given to us are greater than 5 inches of rainfall. Therefore, the probability that there will be more than 5 inches of rainfall next year should be 7 / 10 ( 7 years / 10 years ), and 7 / 10 with respect to percent would be 70%. Your solution is the second option.
The perimeter of a rectangle is 38 inches. If the length is 3 inches more than the width, find the width.
Answer:
8 inches
Step-by-step explanation:
For this the length is 11 inches, and when u subtract 3 from that you get 8. 11×2 is 22, 8×2 is 16
22+16=38
Answer:
8 inches
Step-by-step explanation:
P = 2w + 2l
l = w + 3
38 = 2w + 2(w + 3)
38 = 2w + 2w + 6
38 - 6 = 4w
4w = 32
w = 32 : 4
w = 8 inches
5. a) A business company made a profit of Rs 24,00,000 in the last year. The management decided to distribute 20 % bonus from the profit to its 30 employees.
( i ) Find the bonus amount received by each employee.
(ii) By what percent should the bonus be increased so that each employee can receive Rs 20,000?
(iii) What should be the profit of the company so that it can provide Rs 20,000 to each employee at 20 % bonus?
Answer:
a) = Rs 16000
b) = 5%
c) = Rs 30,000,000
10% = 24,000,00/10 = Rs 240,000
20% = 240,000 x 2 = Rs 480,000
480,000/30 = Rs 16000
b) The bonus percentage needs to be increased by 5%
explanation:
Since every worker needs Rs 20000 we need to times it by 30
20000 x 30 = Rs 600,000
600,000 - 480,000 = Rs 120,000
Now we need to find the percentage of Rs 120,000
10% = Rs 240,000
5% = 240,000 divide by 2 = Rs 120,000
This is the best I can do for now please let me know if you understood the answer!
Answer:
1.Rs.16000
2.Bonus rate:25%
3.profit:Rs.3000000
Step-by-step explanation:
Case 1
Profit=Rs.2400000
Bonus Rate:20%
No.of employees =30
Now,
Bonus = (Bonus Rate of Profit) / no. Of employees
= 20% of Rs.2400000 / 30
= Rs. 16000
Case 2
Bonus=Rs.20000
Profit=Rs.2400000
Bonus rate=?
Now,
Bonus=bonus rate of profit / no. Of employees
Or,Rs. 20000 = Bonus rate × Rs. 2400000/30
Or, Rs. 20000=Bonus rate × Rs. 80000
Or,Rs.20000/Rs.80000 = Bonus rate
Bonus rate = 1/4=25%
Case 3
Bonus=Rs.20000
Bonus Rate = 20%
Now,
Bonus = bonus Rate of profit / no.of employees
Or, Rs. 20000 = 20% × Profit / 30
Or, Rs. 20000 × 30 / 0.2 = profit
Profit= Rs. 3000000
I hope it helped you
Can someone help me with this question please
Answer:
Biker 1: 20mph
Biker 2: 15mph
Step-by-step explanation:
Look at the x - axis bar thing at 1 hour, if you look up a little, you see 2 dots. Those are the dots for the mile per hour. You can see the blue dot is at 20 miles and the red one is at 15.
lauren sold 140 boxes of cookies. 60% of the boxes she sold were to people her dad works with. of these boxes 1/4 contained mint cookies. how many boxes of mint cookies did Lauren sell to people her dad worked with?
Hey there! I'm happy to help!
First, we need to find 60% of 140. This is how many boxes she sold to the people her dad works with. 60% as a decimal is 0.6 (0.6 is 60% of 1, one represents the whole, or total).
0.6×140=84
We know that 1/4 of these had mint cookies. 1/4 is 25%, so let's find 25% of 84!
0.25×84=21
Therefore, Lauren sold 21 boxes of mint cookies to people her dad works with.
Have a wonderful day! :D
Answer:
The answer is C) 21
Step-by-step explanation:
I'm right, trust me :)
Please help me with this question
Answer:
49π
Step-by-step explanation:
Circle area: πr^2
Since A to C is 14, and they're both in the center, A to B and B to C will both be 7 as a radius.
Since we know the radius, we can put it in the formula, πr^2.
We only need to solve for one circle, since both circles are the same. By solving the circle, we will put in 7 for the radius, giving us π7^2, which is 49π.
Match each statement (term) with its value in relation to 0 (definition). Match Term Definition
Answer:
Step-by-step explanation:
a building is 35ft tall=35
the scuba diver was 35ft below sea level=-35
the basement is 7.6ft below ground=-7.6
oliver owes his sister $23=-23
erica jumped 2.3ft above ground=2.3
Answer:
a building is 35ft tall=35
the scuba diver was 35ft below sea level=-35
the basement is 7.6ft below ground=-7.6
oliver owes his sister $23=-23
erica jumped 2.3ft above ground=2.3
Step-by-step explanation:
(Algebra 1) The swim team is selling sweatshirts and towels to raise money for a trip to Mexico. The Coach asked the team to raise
at least $1000
The coach asked the team members how many towels and sweatshirts they would need to sell to meet their goal. The
sweatshirts cost $20.00 and the towels cost $15.
Joanne was trying to determine how to pre-order the items to promote the products. Choose the combinations of
sweatshirts and towels that would reach their goal.
Sweatshirts
Towel =
(s, t) = combinations
Select one or more:
a. (37.18)
b.(41.11)
C. (22,38)
d. (8,55
e. (13,51)
The solution to the inequality equations are Option A, Option C, Option E.
The ordered pairs are ( 37 , 18 ) , ( 22 , 38 ) and ( 13 , 51 )
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Let the number of sweatshirt = s
Let the number of towels be = t
Let the cost of one sweatshirt = $ 20.00
Let the cost of one towel = $ 15.00
The Coach asked the team to raise at least $1000
So , the value of 20s + 15t ≥ 1000
Now , substituting the values for s and t in the equation , we get
a)
The ordered pair to the solution of equation ( s , t ) = ( 37 , 18 )
So , 20s + 15t ≥ 1000 be equation (1)
Substituting the values for s and t in the equation , we get
20 ( 37 ) + 15 ( 18 ) ≥ 1000
740 + 270 ≥ 1000
1010 ≥ 1000
So , the inequality equation satisfies
b)
The ordered pair to the solution of equation ( s , t ) = ( 41 , 11 )
So , 20s + 15t ≥ 1000 be equation (1)
Substituting the values for s and t in the equation , we get
20 ( 41 ) + 15 ( 11 ) ≥ 1000
820 + 165 ≥ 1000
985 < 1000
So , the inequality equation does not satisfies
c)
The ordered pair to the solution of equation ( s , t ) = ( 22 , 38 )
So , 20s + 15t ≥ 1000 be equation (1)
Substituting the values for s and t in the equation , we get
20 ( 22 ) + 15 ( 38 ) ≥ 1000
440 + 570 ≥ 1000
1010 ≥ 1000
So , the inequality equation satisfies
d)
The ordered pair to the solution of equation ( s , t ) = ( 8 , 55 )
So , 20s + 15t ≥ 1000 be equation (1)
Substituting the values for s and t in the equation , we get
20 ( 8 ) + 15 ( 55 ) ≥ 1000
160 + 825 ≥ 1000
985 < 1000
So , the inequality equation does not satisfies
e)
The ordered pair to the solution of equation ( s , t ) = ( 13 , 51 )
So , 20s + 15t ≥ 1000 be equation (1)
Substituting the values for s and t in the equation , we get
20 ( 13 ) + 15 ( 51 ) ≥ 1000
260 + 765 ≥ 1000
1025 ≥ 1000
So , the inequality equation satisfies
Hence , the inequality equations are solved
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Write the equations after translating the graph of y = | 1 /2 x−2|+3 one unit down,
Answer:
[tex]y=|\frac{1}{2} x-2|+2[/tex]
Step-by-step explanation:
If your original function is:
[tex]y=|\frac{1}{2} x-2|+3[/tex]
the translation of its graph vertically down one unit, can be obtained by simply subtracting 1 from the whole functional expression:
[tex]y=|\frac{1}{2} x-2|+3-1=|\frac{1}{2} x-2|+2[/tex]
15 POINTS!!!!!!!! How is a linear function affected when a constant is multiplied by x?
Answer:
The Y-intercept changes .
Step-by-step explanation:
Answer:
The y-intercept changes
Step-by-step explanation:
If one factor of 6.x2 + 5x – 6 is
3.x - 2, the other factor is
A.
3.x + 3
B. 6x + 3
C. 2x + 3
D. 2.x - 3
Solve the following equations and inequalities showing all work.
18.1/2(x - 5) + 1 = 2x +4
19.3-x>-3
20. - x = 12
21. -2 = 8
22. –1 + 3 = 3 +
5
23.4 - (5x + 6) = 18 - 3x
24.-6x + 24 = 4x - 15(x-3)
25.4(x – 3) 12 =(x-3)
26. (15x 2) (-2) = x + 4
Answer:
See the answers in the pics
Step-by-step explanation:
Srry, I didn't quite understood the last two equations
but I hope that from now on you will know how to solve equations and inequalities like this ;]
Answer:
LLLLLLLLLLLLLl
Step-by-step explanation:
What is the simplified expression for 5 to the power of negative 3 multiplied by 2 to the power of 2 multiplied by 5 to the power of 6 whole over 2 to the power of 3 multiplied by 5 to the power of 2?
Answer
the third(5/2)
Step-by-step explanation:
[(5^(-3))*(2^2)*(5^6)]/[(2^3)*(5^2)]
=[(5^3)*(2^2)]/[(2^3)*(5^2)]
=[5^(3-2)]*[2^(2-3)]
=5*(1/2)
=5/2 or 2.5
Answer:
5/2
Step-by-step explanation:
Hope it helps!!
Btw it was right on the test!!
Find Missing Side
Instructions: Find the missing side. Round your answer to the nearest tenth.
help plz
Answer:
8.5 units
Step-by-step explanation:
x is the adjacent side, the side that's 19 units is the opposite side.
Given the adj and the opp sides, use tangent.
tanθ= opp/adj
tan 66°= 19/ x
x(tan66°)= 19
x= 19/(tan 66°)
x= 8.5 units (nearest tenth)
is the square root of 29 rational or irrational?
Answer:
irrational
Step-by-step explanation:
rational - a number that can turn into a fraction (you could do this with a perfect square)
Irrational - a number that cannot be expressed as a fraction
The square root of 29 is an irrational number because it can not be expressed as a fraction.
To determine whether the square root of 29 is rational or irrational, we need to check if it can be expressed as a fraction (ratio) of two integers.
Assuming that the square root of 29 is rational, we can represent it as √29 = a/b, where a and b are integers with no common factors other than 1, and b is not equal to 0.
Squaring both sides of the equation (√29)² = (a/b², we get 29 = (a²)/(b²).
This implies that 29 is equal to the ratio of two integers (a²)/(b²), which means that 29 can be expressed as a fraction. However, this is not true because 29 is a prime number and cannot be written as a fraction of two integers.
Therefore, the square root of 29 cannot be expressed as a fraction and is therefore irrational.
Hence, the square root of 29 is an irrational number.
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What is the mean average deviation (MAD) of the data set shown below? Round your answer to the nearest tenth when necessary.
Answer:
18
Step-by-step explanation:
to find the MAD you add all of the numbers first 22+19+30+13+17+21+8+15+12+23= 180
then you divide it by how many numbers there are for instance there are 10 because there are 10 pairs of numbers then you divide it by 180 and you get 18
hope it helped :)