Answer:
The expected value of the student's score on the test is 3.4.
Step-by-step explanation:
Multiple choice questions:
worth 3 points.
Five possible choices, one of which is correct. So the expected value of the student in each multiple choice question is:
[tex]m = 3\frac{1}{5} = 0.6[/tex]
True/false questions:
worth 1 point.
2 options, one of which is correct, so the expected value for each is:
[tex]t = 1\frac{1}{2} = 0.5[/tex]
What is the expected value of the student's score on the test ?
4 multiple choice, two true-false. So
[tex]E = 4m + 2f = 4(0.6) + 2(0.5) = 2.4 + 1 = 3.4[/tex]
The expected value of the student's score on the test is 3.4.
Tyra, Ella, Tran and Ann share equally in the rental of a car. If the total cost of the rental is C dollers which expression represents Tyras share of cost
Answer:
C/4
Step-by-step explanation:
The amount divided by the amount of people will show how much each person owes
Joan works on commission for a furniture store. She gets a base pay of $80 a day plus 4 percent of the value of any merchandise she sells that exceeds a total of $400. Joan wrote the expression 400 + 0.04(t − 80), where t represents her sales total in dollars, to compute the total amount of money that she will make. For sales of $500 Joan calculated that she will make $416.80. Explain Joan's error by completing the correct expression and how much she will make.
Answer:
Total amount earned = $84
Step-by-step explanation:
The correct expression is
Total amount earned = 80 + 4% of (t - 400)
= 80 + 0.04(t - 400)
where,
t = her sales total in dollars
Total amount of money that she will make for sales of $500
Total amount earned = 80 + 0.04(t - 400)
= 80 + 0.04(500 - 400)
= 80 + 0.04(100)
= 80 + 4
= 84
Total amount earned = $84
Solve 7=6+b .
b= _____
Suppose that another outbreak has been detected. On Sept 1, there were 60 reported cases. A week later, there were 75 reported cases.
If the disease continues spreading exponentially, how many weeks after Sept 1 will 850 cases be expected? Round to the nearest weeks
Answer:
Cases will increase to 850 in half day
Step-by-step explanation:
Given
The number of reported cases increase from 60 to 75 in seven days (week)
rate of increase of cases = 75-60/7 = 15/7
Now, as per the exponential growth equation
[tex]P = P_0 * e^{r*t}[/tex]
Substituting the given values we get
[tex]850 = 60 * e^{\frac{15}{7} * t}\\e^{\frac{15}{7} * t} = 14.167[/tex]
Taking log on both sides we get
15/7 * t = 1.15
t = 1.15 *7/15
t = 0.537 days = half day
PLEASE HELP ME
Find the surface area of this box. The length is 5 cm the width is 5 cm and the
height is 5 cm.
Answer:
150cm^2
Step-by-step explanation:
Thank you for anyone who knows this
Answer:
Part (a) Vertex = (-3, -1)Part (b) Vertex = (4, 5)Part (c) function 2; max value = 5=====================================================
Explanations:
Part (a)
In this case, the vertex is the highest point, so the vertex of function 1 is (-3, -1)
If the parabola was flipped so that it opened upward, instead of downward, then the vertex would be the lowest point.
----------------------------
Part (b)
We could graph this function to see where the highest or lowest point is, but there's another way we could find the vertex using algebra.
The given equation is in the form y = ax^2 + bx + c where in this case
a = -2b = 16c = -27The a and b values are plugged into the formula below to get
h = -b/(2a)
h = -16/(2*(-2))
h = -16/(-4)
h = 4
This is the x coordinate the vertex since the vertex is (h,k)
To find k, we plug that value of h into the original function to find its corresponding y value.
y = -2x^2 + 16x - 27
y = -2(4)^2 + 16(4) - 27
y = -2(16) + 16(4) - 27
y = -32 + 64 - 27
y = 5
We found that h = 4 leads to k = 5. The vertex is (h,k) = (4, 5)
----------------------------
Part (c)
We'll compare the y values of each vertex
Function 1 has a vertex of (-3, 1)Function 2 has a vertex of (4, 5)The vertex with the larger y value is the winner, so that would be function 2. This parabola reaches a higher peak compared to the other curve.
The max value here is y = 5. In other words, it's the maximum output the function can produce.
If you graphed functions 1 and 2 together on the same xy grid (see below), you'll see that the curve for function 2 reaches a higher peak.
Please help!!!! There are 324 students coming.
===============================================================
Explanation:
Assuming there are 324 seats available for the 324 students, this means that 324*5.60 = 1,814.40 dollars is earned in revenue from ticket sales.
Let x be the cost of equipment, lighting, and costumes combined.
The expression 1814.40 - x represents the profit made. It's the amount of money left after the bills are paid, so to speak. Or you could say profit = revenue - cost.
The committee wants $500 remaining, so they want 1814.40 - x to be equal to 500.
Let's solve for x
1814.40 - x = 500
-x = 500-1814.40
-x = -1314.40
x = 1314.40
So if $1,314.40 is spent on equipment, lighting, and costumes combined, then the committee will have $500 left over. If they spend less on those items, then the profit is more than $500. This means that $1,314.40 is the most they can spend.
Which unit rate is equivalent to the ratio 12 to 3?
Answer:
[tex]\frac{4}{1}[/tex]
Step-by-step explanation:
You can think of the ratio 12 to 3 as another fraction such as [tex]\frac{12}{3}[/tex].
If you want the denominator (bottom number) to be 1, you can divide 12 by 3 which equals 4.
Your new fraction would be [tex]\frac{4}{1}[/tex].
The ratio of tomatoes to red apples is 2: 5. If there are 20 tomatoes,
how many red apples are there?
please I need help I'm not good at ratio
Answer:
50 red apples
Step-by-step explanation:
Ratio: 2:5
Tomatoes: 20
20/2 = 10
5 x 10 = 50
There are 50 apples.
please help me with the step by step
Answer:
stay safe healthy and happy....Step-by-step explanation:
This is the correct answer
find the range of the following mathematics examination scores 80 65 84 73 90 96
The range is 31
Step-by-step explanation:
The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest. The answer gives you the range of the list.
What is the value of the expression below?
Answer:
D. 2
Step-by-step explanation:
Multiply the exponents to simply equation
5/3 * 1/5 = 5/15 = 1/3
8^1/3 = 2
Cube root of 8 is 2
Find the volume of the given prism. Round to the nearest tenth if necessary.
Consider the expression 16 - 4 × 3 + 7. Use parentheses to rewrite the
expression so that it equals 11.
Answer:
16 - (4 × 3) + 7
Step-by-step explanation:
PLEASE HELP! Pick one answer.
Answer:
c
Step-by-step explanation:
Answer:
C
1 or more includes from the 1st quartile to the rest of the graph, so it is 75%
Find the measure of ZBAC. (The figure is not drawn to scale.)
70
с
A
70
B
140
С
20
D
35
Find the coordinates of the center and the measure of the diameter for a circle whose equation is (x + 8)2 + (y - 4)2 = 81
Reminder :
( x + a )^2 + ( y + b )^2 = ( R )^2
Center : O = ( - a , - b )
R = radius
_____________________________
( x + 8 )^2 + ( y - 4 )^2 = ( 9 )^2
Center : O = ( - 8 , 4 )
radius = 9
Diameter = 2 × radius = 18
What is 63,998 in expanded form?
Answer:
60,000 3,000 900 90 8
Step-by-step explanation:
Answer:
60,000+3,000+900+90+8
Step-by-step explanation:
I used go ogle
the price of a photography machine in RS60000.find the price after inculding13%tax
Answer:
Rs. 67800
Step-by-step explanation:
Price of photograph = 60000 = 100%
Tax = x dollars = 13% of 60000
100% + 13% = 113% = 1.13
Multiply
1.13(60000) = 67800
To check, lets find 13% of 60000 and add to 60000
13% = 0.13
0.13(60000) = 7800
60000 + 7800 = 67800
Units = Rs
Rs. 67800
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Someone please help
Answer:
15 cm
Step-by-step explanation:
.....................
Mondo correctly finds the closest benchmarks for three numbers.
Three and StartFraction 6 over 25 EndFraction is closest to the benchmark 3
3.8 is closest to the benchmark 4
Three and four-ninths is closest to the benchmark Three and one-half
Which shows the numbers Three and StartFraction 6 over 25 EndFraction, 3.8, and Three and four-ninths in order from greatest to least?
Three and StartFraction 6 over 25 EndFraction, Three and four-ninths, 3.8
Three and StartFraction 6 over 25 EndFraction, 3.8, Three and four-ninths
3.8, , Three and StartFraction 6 over 25 EndFraction
3.8, Three and StartFraction 6 over 25 EndFraction,
Answer:
From greatest to least, the order is:
[tex]3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}[/tex]
Step-by-step explanation:
Given
[tex]Closest\ Benchmark \to Number[/tex]
[tex]3\frac{6}{25} \to 3[/tex]
[tex]3\frac{4}{9} \to 4[/tex]
Required
Order [tex]3\frac{6}{25}, 3.8, 3\frac{4}{9}[/tex] from greatest to least
From the given parameters, we have:
[tex]3\frac{6}{25} \to 3[/tex]
[tex]3\frac{4}{9} \to 4[/tex]
This implies that:
[tex]3\frac{4}{9}\ >\ 3\frac{6}{25}[/tex] --- we know this from the nearest benchmark
Convert [tex]3\frac{4}{9}[/tex] to decimal
[tex]3\frac{4}{9} = 3.44[/tex]
By comparison;
[tex]3.8 >\ 3\frac{4}{9}[/tex]
Hence, the list is:
[tex]3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}[/tex]
Which statement is always true about a regular polygon?
Answer:
All polygons have straight lines
Step-by-step explanation:
solve the right triangle.
Answer:
b=4√10
Step-by-step explanation:
AB²=AC²+BC²
14²=b²+6²
b²=14²-6²=160
b=√160=4√10
delete my answer
Step-by-step explanation:
Which statement best describe the sides of a rhombus? *
A) Is a parallelogram with four congruent sides
B) Is a parallelogram with only the two opposite sides congruent
C) Is a parallelogram with the opposite sides congruent but not parallel
D) Is a quadrilateral that does not have the properties of a parallelogram
Answer:
the option A is a correct ans .
An inground pool is 34 feet long and x inches wide. Its brick walkway is 4 feet wide around the pool. What expression represents the area of the brick walkway?
Answer:
[tex]A_w=238x-2176[/tex]
Step-by-step explanation:
From the question we are told that:
Length of pool [tex]L=34ft[/tex]
Width of Pool [tex]W=x[/tex].
Brick walkway Width [tex]W_b=4[/tex]
Generally the expression for a Area of pool is mathematically given by
[tex]A=L*W[/tex]
[tex]A=34*x[/tex]
[tex]A=34x[/tex]
Generally the expression for a Area of pool + Walkway is mathematically given by
[tex]A'=L'*B'[/tex]
where
[tex]L' =L+2(W_b)[/tex]
[tex]L' =34+2(4)[/tex]
[tex]L'=34+8[/tex]
[tex]L'=272[/tex]
And
[tex]W'=W+2(W_b)[/tex]
[tex]W' =x+2(4)[/tex]
[tex]W' =x+8[/tex]
Therefore
[tex]A'=L'*B'[/tex]
[tex]A'=(272)*(x+8)[/tex]
[tex]A'=272x+2176[/tex]
Generally the expression for a Area of Walkway is mathematically given by
[tex]A_w=Area\ of\ Pool+Walkway-Area\ of\ Pool[/tex]
[tex]A_w=A'-A[/tex]
[tex]A_w=272x+2176-34x[/tex]
[tex]A_w=238x-2176[/tex]
I need answer immediately
Answer:
Answer is 1 minute
Step-by-step explanation:
The y-axis shows how many blocks and the the x-axis shows the time. So if he traveled 6 blocks, based on the graph, it took him 1 minute
I need answer Immediately!!!!!!
Answer:
Step-by-step explanation:
https://www.numerade.com/questions/write-the-equation-for-the-graph-that-is-shown-check-your-book-to-see-graph-3/
Pythagorean theorem please show work thank you
Answer:
Step-by-step explanation:
I'm not too sure about this question but I think the whole width part is just bait/irrelevant
X^2 +14x+13=0 solve for X
X=13,1
I hope this helped :)
Plz help I don't know much about what this question is asking me
Answer:
B
Step-by-step explanation:
You can see that the only difference between the three questions is the charge of the electrons. Electrons are negatively charged and so the answer is just B
Answer:
Pretty sure its A so sorry if its wrong
Step-by-step explanation:
Wish you the best of luck and hope this helps!