Answer:
The expected value for the insurance company is $200
Step-by-step explanation:
In order to calculate the expected value for the insurance company we would have to make the following calculation:
expected value for the insurance company=expected value live+expected value die
expected value live=Net gain*probability of living
expected value live=$300*0.999=$299.70
expected value die=Net gain*probability of die
expected value die=(-$100,000 + $300)*0.001
expected value die=$-99.70
Therefore, expected value for the insurance company=$299.70-$99.70
expected value for the insurance company=$200
The expected value for the insurance company is $200
Find the area of a trapezoid with bases of 5 feet and a 7 feet, and a height of 3 feet a. 18 b. 36 c. 72 d. 40
Answer:
The answer is option A. 18Step-by-step explanation:
Area of a trapezoid = 1/2(a + b) × h
where
h is the height
a and b are the other sides
From the question
h = 3 feet
a = 5 feet
b = 7 feet
Area = 1/2(5+7) × 3
= 1/2 ( 12) × 3
= 6 × 3
The answer is
= 18
Hope this helps you.
The sum of 54 anid six times a number is 216. Find the number.
Answer:
x = 27
Step-by-step explanation:
Step 1: Write out equation
54 + 6x = 216
Step 2: Solve for x
6x = 162
x = 27
Answer:
x=27
Step-by-step explanation:
54+6x=216
Collect like terms:
6x=216-54
6x=162
Divide both sides by the coefficient of x
6x\6=162\6
x=27
Please explain how you got your answer also. A class has 21 girls and 12 boys. What is the probability that a boy's name is drawn at random?
12 over 21
21 over 12
12 over 33
21 over 33
find the length here
Answer:
The correct answer is
D) 66.35
The sine of the angle = the length of the opposite side. the length of the hypotenuse.
The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
The tangent of the angle = the length of the opposite side. the length of the adjacent side.
So in shorthand notation:
sin = o/h cos = a/h tan = o/a
Often remembered by: soh cah toa
Answer:
C
Step-by-step explanation:
BC is the opposite of angle 54, adi is AC=39
tan54=opp/adj.
BC=AC(tan54)
BC=39(1.376)=53.6789 close to 53.68
Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.
Simplify Q + S - T.
-8m - 7n - 3
8m + 7n - 3
-8m + 7n - 3
8m - 7n - 3
Answer:
The second: 8m + 7n - 3Step-by-step explanation:
Q = 7m + 3n,
R = 11 - 2m,
S = n + 5,
T = -m - 3n + 8.
Q + S - T = 7m + 3n + (n + 5) - (-m - 3n + 8)
Q + S - T = 7m + 3n + n + 5 + m + 3n - 8
Q + S - T = 8m + 7n - 3
12/31/2019: At the end of the first year of operations, Yolandi Company had $900,000 in sales and accounts receivable of $350,000. XYZ's management has estimated that $9,000 in accounts receivable would be uncollectible.
Answer:
The journal entry to record bad debt expense should be:
December 31, 2019, bad debt expense
Dr Bad debt expense 9,000
Cr Allowance for doubtful accounts 9,000
Net account receivables = $350,000 - $9,000 = $341,000
The allowance for doubtful accounts is a contra asset account that decreases the balance of accounts receivable (balance sheet). Bad debt expense is included in the income expenses and decreases total sales.
By which theorem can you conclude DHF = EHG?
A. ASA
B. HL
C. SAS
D. SSS
Answer:HL
Step-by-step explanation:
By B. HL (hypotenuse and one of the leg) theorem we can conclude that DHF = EHG
What is congruency?We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.
We know the longest side of a right-angled triangle, known as the hypotenuse is always in opposition to the right angle.
According to the hypotenuse leg(HL) theorem, two right triangles are congruent if the hypotenuse and one leg of one right triangle coincide with the hypotenuse and leg side of the second right triangle.
In the given diagram DF ≅ EG and DH ≅ EH then according to HL congruency theorem DHF = EHG
learn more about congruency here :
https://brainly.com/question/7888063
#SPJ6
Find the number if: 5/9 of it is 90 PLEASE EXPLAIN
Answer:
The number is 162Step-by-step explanation:
Let the number be x
5/9 of the number is 90
Which is
5/9 of x = 90
5/9 × x = 90
5/9x = 90
Multiply through by 9
That's
5x = 810
Divide both sides by 5
5x/5 = 810/5
x = 162
Therefore the number is 162
Hope this helps you
Identify the transformation on the figure shown.
A) rotation about the x-axis
B) rotation about the y-axis
C) reflection over the x-axis
D) reflection over the y-axis
Thank you
Answer:
It is a reflection over the y-axis (D)
Step-by-step explanation:
Each corresponding point is equidistant from the y-axis and follows the rule (x,y) turns to (-x,y). For example the point (1,1) is mapped to (-1,1) and both points are 1 unit away from the y-axis so we know that one is the reflection of the other.
Answer:
reflection over y axis
Step-by-step explanation:
did it on usatestprep and made a 100
I SHALL NAME THEE BRAINLIEST!! (: Pls help me. (#1) 4A - 1 = 3A + 8 solve and check (#2) 1 + F + 3 + F = F + 5 solve and check (#3) Naomi had B bushels of grain. After Ruth brought her 5 more bushels of grain, she had 11 bushels in all. How much grain did Naomi have to start with? Write an equation and solve.
Answer: #1 A=9 #2 Naomi started with 6 bushels
Step-by-step explanation:
4A-1 = 3A + 8 Subtract 3A from both sides 4A -3A -1 = 3A-3A + 8 to get
A -1 = 8 Add 1 to both sides A -1 + 1 = 8 + 1 to get
A = 9 . Check by substituting 9 in place of A
4(9) - 1 = 3(9) + 8 multiply: 4×9 = 36 . 3×9=27
36 -1 = 27 + 8 do the subtraction and addition
35 = 35 .True.
Part 2: The original number plus 5 equals 11
B + 5 = 11 . . Subtract 5 from both sides
B +5 -5 = 11 -5
B = 6
Check: If she started with 6 bushels and added 5 bushels, she would have 11 bushels all together. True.
Sari wrote the equivalent ratios below to convert cups to fluid ounces. StartFraction 8 fluid ounces Over 1 cup EndFraction = StartFraction question mark fluid ounces Over 9 cups EndFraction How many fluid ounces are in 9 cups? 64 fluid ounces 72 fluid ounces 80 fluid ounces 81 fluid ounces
Answer:
(B)72 fluid ounces
Step-by-step explanation:
To convert cups to fluid ounces, Sari wrote the equivalent ratios.
[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{? fluid ounces}}{9\text{ cups}}[/tex]
Let the question mark be represented by x.
We then have:
[tex]\dfrac{8 \text{ fluid ounces}}{1\text{ cup}} =\dfrac{\text{x fluid ounces}}{9\text{ cups}}\\$Cross multiply\\x \times 1 = 8 \times 9\\x=72$ fluid ounces[/tex]
We conclude that there are 72 fluid ounces in 9 cups.
Answer:
B
Step-by-step explanation:
Selectie correct answer.
How many solutions for x does the following equation have?
2(x + 4) - 1 = 2x + 7
OA. 7
OB.
1
Ос.
infinite
OD. 0
Reset
Next
Answer:
OD.0
Step-by-step explanation:
because 2(X+4)-1 = 2x+7
or, 2x+8-1 = 2x+7
or, 2x+7= 2x+7
and it cancels out eachother so it will be 0
The equation 2(x + 4) - 1 = 2x + 7 has infinite solutions
How to determine the number of solutions?The equation is given as:
2(x + 4) - 1 = 2x + 7
Open the bracket
2x + 8 - 1 = 2x + 7
Evaluate the difference
2x + 7 = 2x + 7
Both sides of the equation are the same.
Hence, the equation has infinite solutions
Read more about equation solutions at:
https://brainly.com/question/18760518
Left f(x)=x+1 and g(x)=1/x the graph of (f•g) (x) is shown below
Answer:
Range of the function → (-∞, 1)∪(1, ∞)
Step-by-step explanation:
Two function has been given as,
f(x) = (x + 1)
and g(x) = [tex]\frac{1}{x}[/tex]
Then (fog)(x) = f[g(x)]
Now f[g(x)] = [tex]\frac{1}{x}+1[/tex]
As shown in the graph,
Domain of the graph is (-∞, 0) ∪ (0, ∞) [Since vertical asymptote of the function is x = 0, so x = 0 will not be included in the domain]
And the range is (-∞, 1) ∪ (1, ∞) [Since horizontal asymptote is y = 1, so y = 1 will not be included in the range]
Jessica saved a total of $58.50 to spend on school supplies. She wants to buy one backpack for $36.25 and she wants to spend the rest on folders with paper. Each folder filled with paper costs $3.89. Select the inequality that shows how many folders filled with paper (x) Jessica can buy. A. $36.25+$3.89x≥$58.50 B. $36.25+$3.89x≤$58.50 C. $36.25x+$3.89≥$58.50 D. $36.25x+$3.89x≤$58.50
Answer:
B. $36.25+$3.89x≤$58.50
Step-by-step explanation:
It has to be less than or equal to $58.50
Answer:
$36.25+$3.89x≤$58.50
Step-by-step explanation:
Let x be the number of folders with paper Jessica buys. If Jessica buys x folders for $3.89 each, then she pays $3.89x for all x folders.
She wants to buy one backpack for $36.25, so her total buying costs
$36.25 + $3.89x
Jessica saved a total of $58.50 to spend on school supplies, then her total buying cannot exceed this sum, so the answer would be $58.50.
Dependent variable C depends on both independent variable A and independent variable B. Which statement is correct?
A: the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed using the same scatterplot.
B: the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed, but they must analyzed using separate scatterplotd.
C: Only the relationship between independent variable A and dependent variable C can be analyzed a scatterplotd.
D: Only the relationship between independent variable B
and dependent variable C can be analyzed a scatterplotd.
Answer:
B
the relationship between independent variable A and Dependent variable C and the relationship between independent variable A and Dependent variable C can both be analysed, but they must analyzed using separate scatterplotd
Answer:
its B
Step-by-step explanation:
can i have some help?
Answer:
36 = 6(6)
[tex]x^{2} -(6)^2[/tex]
(x+6)(x-6)
(x+6)(x-6)
use the elimination method to solve the system of equations. choose the correct ordered pair x+y=3 y=8
Answer:
(-5, 8)
Step-by-step explanation:
Step 1: Multiply 2nd equation by -1
x + y = 3
-y = -8
Step 2: Elimination
x = -5
Step 3: Find y
y = 8
PLEASE HELP!!! And please SHOW YOUR WORK! *grade 9 work*
Answer:
4028.5
Step-by-step explanation:
V=4000+4.75 (6)
V= 4000+28.5
V=4028.5
Please Vote Brainliest!
Answer: Hope this helps <3
Step-by-step explanation:
[tex]V=4000+4.75n\\\\Substitute\\V = 4000 + 4.75(6)\\\\Multiply\\\\V = 4000+28.5\\\\Add\\\\V = 4028.5[/tex]
Help me, please. What is the length of BC?
Answer:
2.1
Step-by-step explanation:
Length of the segment BC can be obtained by using cosine law.
cos A =(b^2 + c^2 - a^2) /2bc
cos 20° = (5^2 +6^2 - a^2) /(2*5*6)
0.9396926208 = (25 + 36 - a^2) /60
0.9396926208 * 60 = 61 - a^2
56.3815572 = 61 - a^2
a^2 = 61 - 56.3815572
a^2 = 4.6184428
a = 2.14905626
a = 2.1 units
Hence, lenght of BC = 2.1 units.
The lengths of the sides of a triangle are 9, 12, and 18. Classify the triangle as acute, right, or obtuse.
Answer:
Step-by-step explanation:
Use Pythagorean theorem.
Assign the largest value to 'c'
If a² + b² = c² , then it is right triangle
If a² + b² > c², then it si acute triangle
If a² + b² < c² , then it is obtuse triangle
Here, a = 9 , b = 12 & c = 18
a² + b² = 9² + 12²
= 81 + 144
a² + b² = 225
c² = 18²
c² = 324
a² + b² < c²
225 < 324
So, 9, 12 , 18 form a obtuse triangle
A sample of 50 11th graders were asked to select a favorite pattern out of 6
choices. The data list below shows what their favorite color patterns were,
and the accompanying frequency table and bar graph represent these data. In
the bar graph, the height of the blue-gray bar is 4, the height of the green bar
is 9, and so on
Color Pattern
Frequency
Buong
Green
9
in podot
14
Purple
11
Red and orange
9
Yellow
3
Suppose that, rather than being just a bar graph, the display you see above is
a relative frequency bar graph. The vertical axis of the graph will be marked
off in percentages, from 0 percent up to 30 percent. What will be the height of
the purple bar
A. 11
B. 27
C. 30
D. 22
Answer:
27
Step-by-step explanation:
Since pink dots is the highest(30) and Purple is second highest so purple must be close to 30.
The requried, height of the purple bar on the relative frequency bar graph is 22, and the answer is (D) 22.
What is Statistic?Statistics is the study of mathematics that deals with relations between comprehensive data.
Here,
Since the vertical axis of the bar graph is marked off in percentages, we can determine the height of each bar by multiplying its frequency by 2, since 50 students were surveyed (i.e., 100% of the sample size).
The frequency of the purple color pattern is 11, so its height on the bar graph is 11*2 = 22.
Therefore, the height of the purple bar on the relative frequency bar graph is 22, and the answer is (D) 22.
Learn more about Statistics here:
https://brainly.com/question/23091366
#SPJ7
graph the parobola. y=4x^2-7
Answer:
Step-by-step explanation:
y=4x^2-7
vertex(0,-7)
Determine the domain and range of the given function.
The domain is
4
The range is
2
х
-2
2.
4
-4
Answer: domain is all real numbers and range is all real numbers greater than or equal to -2
Step-by-step explanation:
What is the length of the shorter of the two chords shown?
Step-by-step explanation:
would you please attach the drawing?????
Answer:
Chord is 13
Step-by-step explanation:
Calculating the length of chords QS and TR:
QS = 9 + 4x = 9 + 4 = 13
TR = 12 + (x+2) = 12 + 3 = 15
Graph this following function
Answer:
Please find attached the graph of the following function;
[tex]\left\{\begin{matrix}x - 1 & if & -2 \leq x < 0\\ 1 & if & x = 0 \\ 3 & if & 0 < x \leq 2\end{matrix}\right.[/tex]
Step-by-step explanation:
We note that the function is linear from x = 2 to just before x = 0
The linear relationship of the function f(x) with x changes just before x = 0
At x = 0, the value of f(x) is indicated as 1
From just after x = 0, the function is a straight horizontal line y = 3
The function also changes value immediately after x = 0 to the line y = 3
The areas where the function is defined are shown in continuous lines
The probability that an event will occur is fraction 1/8. Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
Answer:
Unlikely
Step-by-step explanation:
Certain= 100% chance of your event occuring.
Impossible = 0% chance of your event occuring.
Neither of these apply.
Likely= >50% = >4/8
Unlikely= <50% = <4/8
Unlikely
If n is the term, what is the first integer value of n where the sequence 2n² is greater than 50?
Answer:
The 6th term is first integer value of n greater then 50 in the 2n^2 sequence.
Step-by-step explanation:
2n^2 sequence:
2,8,18,32,50,72
If x = 6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?
Answer:
The discriminant equals to 0
Step-by-step explanation:
We have to remember our discriminant rules;
d > 0, we have 2 real roots
d = 0, we have 1 real root
d < 0, we have 2 complex roots
School administrators asked a group of students and teachers which of two
school logo ideas, logo A or logo B, they prefer. This table shows the results.
Logo A
Logo B
Total
Students
67
33
100
Teachers
11
14
25
Total
78
47
125
Are being a student and preferring logo A independent events? Why or why
not?
O A. No, they are not independent, because Astudent) = 0.8 and
A student|logo A) = 0 62.
B. No, they are not independent because P(student) = 0.8 and
A student logo A) 0.86.
C. Yes, they are independent because P(student) = 0.8 and
A student logo A) 0.86
D. Yes, they are independent, because student) = 0.8 and
A student logo A) = 0.62
Answer:
The events are not independent
[tex]P(S) = 0.8[/tex]
[tex]P(Logo\ A) = 0.62[/tex]
Step-by-step explanation:
Given
--------------Logo A --- Logo B ---Total
Students ----- 67----------33--------100
Teachers ----- 11 ----- ----- 14 ----- 25
Total ----- ------78-----------47--------125
Required
Determine if being a student and preferring logo A are independent events
Let P(S) represent probability of being a student
Let P(Logo A) represent probability of preferring logo A
Let P(S n Logo A) represent probability of being a student and preferring logo A
To determine if they are independent, we have to calculate
P(S), P(Logo A) and P(S n Logo A)
P(S) = Total Students / Total Population
[tex]P(S) = 100/125 = 0.8[/tex]
P(Logo A) = Total that prefers Logo A / Total Population
[tex]P(Logo\ A) = 78/125 =0.624[/tex]
P(S n Logo A) = Number of students that prefer logo A / Total Population
[tex]P(S\ n\ Logo\ A) = 67/125 = 0.536[/tex]
If the events are independent, then the following condition must be satisfied
[tex]P(S\ n\ Logo\ A) = P(S) * P(Logo\ A)[/tex]
Substitute the values of P(S), P(Logo A) and P(S n Logo A)
[tex]0.536 = 0.8 * 0.536[/tex]
[tex]0.536 \neq 0.4288[/tex]
Since they are not equal, then the events are not independent
[tex]P(S) = 0.8[/tex]
[tex]P(Logo\ A) = 0.62[/tex]
Answer: b
Step-by-step explanation: just took the quiz
can you please explain how to solve this?
Answer:
18
Step-by-step explanation:
hello,
as this is a parallelogram we can write that BE = DE so
15x + 4 = 9x + 6
<=> 15x - 9x + 4 = 6
<=> 6x = 6 - 4 = 2
<=> x = 2/6 = 1/3
so BE = DE = 15/3+4=5+4=9
so BD = BE + DE = 9 + 9 = 18
the correct answer is 18
hope this helps