Answer:
[tex](a)\ c = \frac{1}{15}[/tex]
[tex](b)\ 40\%[/tex]
[tex](c)\ 60\%[/tex]
Step-by-step explanation:
The given parameters can be represented as:
[tex]P_Y(y) \ge 0, y =1,2,3,4,5[/tex]
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
Solving (a): The value of c
To do this, we make use of the following rule;
[tex]\sum\limit^5_{y=1}P_Y(y_i) = 1[/tex]
Given that:
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
This is translated to:
[tex]c*1 + c * 2 + c * 3 + c * 4 + c * 5 = 1[/tex]
[tex]c + 2c + 3c + 4c + 5c = 1[/tex]
[tex]15c = 1[/tex]
Solve for c
[tex]c = \frac{1}{15}[/tex]
(b) The proportions of applications that requires at most 3 forms
This implies that: y = 1,2,3
So, we make use of:
[tex]P(Y \le 3) = P(Y=1) + P(y=2) + P(Y=3)[/tex]
Recall that:
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
Substitute [tex]c = \frac{1}{15}[/tex]
[tex]P_y(y) =\frac{1}{15}y[/tex]
So:
[tex]P(Y \le 3) = P(Y=1) + P(y=2) + P(Y=3)[/tex]
[tex]P(Y\le 3) = \frac{1}{15} * 1 +\frac{1}{15} * 2 +\frac{1}{15} * 3[/tex]
[tex]P(Y\le 3) = \frac{1}{15} +\frac{2}{15} +\frac{3}{15}[/tex]
Take LCM
[tex]P(Y\le 3) = \frac{1+2+3}{15}[/tex]
[tex]P(Y\le 3) = \frac{6}{15}[/tex]
[tex]P(Y\le 3) = 0.4[/tex]
Express as percentage
[tex]P(Y\le 3) = 0.4*100\%[/tex]
[tex]P(Y\le 3) = 40\%[/tex]
(c) The proportions of applications that requires between 2 and 4 forms (inclusive)
This implies that: y = 2,3,4
So, we make use of:
[tex]P(2 \le Y \le 4) = P(Y=2) + P(Y=3) + P(Y=4)[/tex]
[tex]P(2 \le Y \le 4) = 2 * \frac{1}{15} + 3 * \frac{1}{15} + 4 * \frac{1}{15}[/tex]
[tex]P(2 \le Y \le 4) = \frac{2}{15} + \frac{3}{15} + \frac{4}{15}[/tex]
Take LCM
[tex]P(2 \le Y \le 4) = \frac{2+3+4}{15}[/tex]
[tex]P(2 \le Y \le 4) = \frac{9}{15}[/tex]
[tex]P(2 \le Y \le 4) = 0.6[/tex]
Express as percentage
[tex]P(2 \le Y \le 4) = 0.6 * 100\%[/tex]
[tex]P(2 \le Y \le 4) = 60\%[/tex]
How many unique triangles can be drawn side lengths of 2 inches and 4 inches. With an angle of 40degrees between given sides
Answer:
hope it help mark me as a brill
Step-by-step explanation:
Hello it would be 3 squares
The answer is 1
Christopher sold his dinette set for $245 through an online site, which charged him 9% of the selling price as commission. How much was the commission?
Answer:
3.67
Step-by-step explanation:
Because, 9% is literally just 9/100
and when you multiply that by 245 then you get 3.67
A random sample of 388 married couples found that 294 had two or more personality preferences in common. In another random sample of 566 married couples, it was found that only 38 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common.
Solution :
Given :
[tex]$n_1=388$[/tex] , [tex]$x_1 = 294, \ n_2 = 566, \ x_2 = 38$[/tex]
Sample proportion, [tex]$(\hat p_1)=\frac{x_1}{n_1}$[/tex]
[tex]$=\frac{294}{388}$[/tex]
= 0.7577
Sample proportion, [tex]$(\hat p_2)=\frac{x_2}{n_2}$[/tex]
[tex]$=\frac{38}{566}$[/tex]
= 0.0671
For 95 % CI, z = 1.96
The confidence interval for the population proportion,
[tex]$p_1-p_2=(\hat p_1-\hat p_2)\pm z \left\{\sqrt{\frac{\hat p_1 \times (1- \hat p_1)}{n_1}+\frac{\hat p_2 \times (1- \hat p_2)}{n_2}}\right\}$[/tex]
[tex]$=(0.7577-0.0671)\pm 1.96 \left\{\sqrt{\frac{0.7577 \times (1- 0.7577)}{388}+\frac{0.0671 \times (1- 0.0671)}{566}}\right\}$[/tex]
[tex]$=0.6906 \pm 1.96 \times \left 0.0241$[/tex]
= [tex]$0.6906 \pm 0.0472 $[/tex]
Lower limit : 0.6906 - 0.0472 = 0.6434
Upper limit : 0.6906 + 0.0472 = 0.7378
Farrah works in a jewelry store and receives 12% commission when she makes a sale. How much commission will she receive for selling a $7,475 ring?
Answer:
$897
Step-by-step explanation:
12/100x7475/1=897
what is the surface area? 4 mm. 4 mm
4 mm
Answer:
So its hard to tell if you want the answer to the SA of 4mm x 4mm x 4mm or the image but I did the mm one.
I got 9216 mm I wasn't sure if you need them converted to any other measurement.
Please answer this thanks
(●´⌓`●)(●´⌓`●)(●´⌓`●)
Answer:
1) A
2) A
3) D
4) B
5) D
Step-by-step explanation:
__________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
If any 2 parallel lines are cut by a transversal line , then :-
its corresponding angles on same side [a pair of an interior angle and it's corresponding exterior angle (but not its adjacent exterior angle)] are equal.its alternate interior angles are equal.its alternate exterior angles are equal.__________________________________________________________
Q1)
According to the figure on the right side of the question paper ,
∠2 & ∠8 are interior angles on the same side∠2 = ∠7 (∵ Alternate interior angles are equal)So,
∠7 + ∠8 = 180°
⇒ ∠2 + ∠8 = 180° (∵ ∠2 = ∠7)
Hence , we can conclude that interior angles of same side are supplementary angles. So the correct option is A.
Q2)
According to the figure on the question paper ,
∠5 & ∠3 are exterior angles on the same side∠1 = ∠5 (∵ Corresponding angles are equal)So ,
∠1 + ∠3 = 180°
⇒ ∠5 + ∠3 = 180° (∵ ∠1 = ∠5)
Hence , we can conclude that exterior angles on the same side are supplementary angles. So , the correct option is A.
Q3)
According to the figure , (∠2 , ∠7) & (∠1 , ∠8) are alternate interior angles. But as (∠1 , ∠8) is there as an option , so the correct option is D.
Q4)
According to the figure , m∠1 = 129°.
Also , ∠1 & ∠7 are interior angles on the same side.
⇒ They are supplementary angles.
⇒ ∠1 + ∠7 = 180°
⇒ ∠7 = 180° - 129° = 51°
So , the correct option is B.
Q5)
According to the figure , m∠2 = 3x - 10 and m∠6 = 2x + 20
Also , ∠2 = ∠6 (∵ Corresponding angles are equal)
⇒ 3x - 10 = 2x + 20
⇒ 3x - 2x = 20 + 10
⇒ x = 30
So , ∠2 = 3×30 - 10 = 80° = ∠6 (∵ Corresponding angles are equal)
Hence , the correct option is D.
How do u convert kilometres into minutes
Example 0.8kilometer what till ut b in minutes woukd u times by 70
Answer:
It is not possible
Step-by-step explanation:
Given
0.8km
Required
Convert to minutes
In conversion, only units of the same metric can be converted.
i.e.
You can convert meters to miles (they both measure distance)
You can convert seconds to hours (they both measure time)
You can convert kilogram to pounds (they both measure weight)
But in the given question, you attempt to convert from distance to time.
This is not possible, because time and distance are different measurements
Yo can y'all help a brother out trying to pass.
First image is the answer choices for all the questions
Second Image is the questions.
Answer:
P' (-1,-4) N'(-5,0) U'(-2,1)
Step-by-step explanation:
4b + 8c + 12 – 8b – 2c + 6.
Dawn is verifying the accuracy of her paycheck. She
earns $14 an hour and works 40 hours each week.
Her biweekly deductions are Social Security 6.2%,
Medicare 1.45%, federal withholding tax $73.25,
state withholding tax $22.50, and health insurance
$37.45. What is her annual net pay if she is paid
biweekly
This is for financial algebra senior year high school. If anyone can help me understand this and please no random links
Answer:
$753.34
Step-by-step explanation:
trust me it is $753.34
plz help me I'm timed!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Answer is C. 9
Step-by-step explanation:
It is basically the same thing as 12-3 and that's equal to 9. It's 9 my man
Your answer
PLS SOMEONE HELP AND NO LINKS PLS
Answer:
71
Step-by-step explanation:)
would anoyone be willing to help
Sure, what do you need help with?
PLEASE ANSWER ASAP!!!!!BRAINLIEST!!!!!!
( -2) + (+8) =
( -9) + ( -7) =
( -4) + ( -9) =
(-7) + (+7) =
Answer:
6
-16
-5
0
Step-by-step explanation:
Step-by-step explanation:
(-2) + (+8) = 6
(-9) + (-7) = -16
(-4) + (-9) = -5
(-7) + (+7) = 0
The sticker price for a new car takes into account the compensation made to the salesperson who managed the sale. This compensation is an example of what type of cost?
A): dealer cost
B): shipping cost
C): manufacturing cost
D): sales commission
[need math help] Study buddies part #2
Answer:
Part A) The distance between Whitney's house and Anh's house is 6.5 miles.
Part B) The total distance traveled by Whitney during the trip was 9.5 miles.
Step-by-step explanation:
Part A)
Notice that during Whitney's journey to Anh's house, her velocity was negative for some time. So, Whitney was travelling backwards. Hence, the total distance Whitney traveled will be greater than the actual distance from Whitney's house to Anh's.
So, instead, we can calculate Whitney's total displacement. Total displacement is given by:
[tex]\displaystyle \text{Displacement}=\int_a^bv(t)\, dt[/tex]
Where v(t) is the velocity function.
So, the displacement of Whitney when she traveled from her house to Anh's house will be:
[tex]\displaystyle \text{Displacement}=\int_0^{24}v(t)\, dt[/tex]
To calculate the integral, we can split it off at t = 11, t = 16, and t = 24.
The three regions represent three geometric figures, which we can use to calculate the area and then find the integral. Rewriting:
[tex]\displaystyle \text{Displacement}=\int_0^{11}v(t)\, dt+\int_{11}^{16}v(t)\, dt+\int_{16}^{24}v(t)\, dt[/tex]
Now, we can calculate the area of each figure.
The first figure is a trapezoid with a height of 0.8 and two bases of 11 and 3. So, its area is:
[tex]\displaystyle A_1=\frac{1}{2}(0.8)(11+3)=5.6\text{ miles}[/tex]
The second figure is a triangle with a height of 0.6 and a base of 5. So, its area is:
[tex]\displaystyle A_2=\frac{1}{2}(0.6)(5)=1.5\text{ miles}[/tex]
Lastly, the third figure is another triangle will a height of 0.6 and a base of 8. So, its area is:
[tex]\displaystyle A_3=\frac{1}{2}(0.6)(8)=2.4\text{ miles}[/tex]
However, notice that the second figure is below the x-axis. During that interval, Whitney was traveling backwards. Hence, we will subtract the second area from the rest of the areas.
Then the displacement will be:
[tex]\displaystyle \text{Displacement}=5.6-1.5+2.4=6.5\text{ miles}[/tex]
So, the distance between Whitney's house and Anh's house is 6.5 miles.
Part B)
The total distance differs from displacement in that it includes all the distances in both directions. It is given by:
[tex]\displaystyle \text{Distance}=\int_a^b|v(t)|\, dt[/tex]
In other words, all of our values are now positive. We will utilize the same strategy:
[tex]\displaystyle \text{Distance}=\int_0^{11}|v(t)|\, dt+\int_{11}^{16}|v(t)|\, dt+\int_{16}^{24}|v(t)|\, dt[/tex]
Substitute. The only difference is that we will add 1.5 instead of subtracting it. So:
[tex]\displaystyle \text{Distance} =5.6+1.5+2.4=9.5[/tex]
Therefore, in this instance, Whitney traveled a total of 9.5 miles to get to Anh's house.
-3 < 5 true or false
Answer:
true
Step-by-step explanation:
Answer:
true?
Step-by-step explanation:
Question 5 of 10
Which system of inequalities is graphed below?
5
O A. y
Answer:
you did not send the graph-_-
Step-by-step explanation:
Which equation has a slope of –2 and passes through the point (5, 0)?
A. y = 2x + 5
B. y = 2x + 10
C. y = –2x + 5
D. y = –2x + 10
Answer:
D. y = –2x + 10
Step-by-step explanation:
1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].
Since [tex]m[/tex] represents the slope, substitute -2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (5,0) into the formula as well. This gives the following equation:
[tex]y - 0 = -2(x-5)\\y = -2(x-5)[/tex]
2) Expand the right side of the equation to find the answer:
[tex]y = -2(x-5)\\y = -2x+10[/tex]
So, option D is correct.
Solve the following
NO BOTS OR PEOPLE WANTING POINTS
Answer:
-1
Step-by-step explanation:
35=11x. i need help
Answer:
x= 35/11
Step-by-step explanation:
steps
35 = 11x
swich sides
11x = 35
Divide both sides by 11
11x/11 = 35/11
simplify
x = 35/11
What is the statement for step 3?
A. LA congruent to PC
B. angle L congruent to angle P
C. CA congruent to CA
D. CL congruent to PC
Answer: moles gastronomy
Step-by-step explanation: oioiooi Baka
Answer:
4g
Step-by-step explanation:
What is the slope of the line in the graph?
There are 5 yellow pens 6 blue pens 9 green pens she picks 1 at random and does not replace it then she picks another pen
A study of 420,027 cell phone users found that 133 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0414% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system.
Answer: (0.00027144, 0.00036176)
Step-by-step explanation:
The sample proportion of cell phone users who develop cancer of the brain or nervous system = [tex]\dfrac{133}{420027}=0.0003166[/tex]
Sample size : 420027
Confidence interval for p: [tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex]= sample proportion , n= sample size , z* = crirical z value.
For 90% confidence interval , z*= 1.645
Required confidence interval:
[tex]0.0003166\pm (1.645)\sqrt{\dfrac{0.0003166(1-0.0003166)}{420027}}\\\\=0.0003166\pm 0.00004516\\\\=(0.0003166-0.00004516,\ 0.0003166+ 0.00004516)\\\\=(0.00027144, \ 0.00036176)[/tex]
A 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system = (0.00027144, 0.00036176)
What is the value of b in ax - by = -5
A. b= (ax-5)/y
B. b= 5-ax
C. b= ax-5y
D. Cant isolate b
Answer:
D,
Step-by-step explanation:
the is the value of b in ax -by =-5
D , cant isolate b
(ILL MARK YOU AS BRAINLEST) The ratio of the interior angles of a triangle is 1: 1: 4 What are the angles measures? Write the angel measures from least to greatest.
Answer:
30 degrees,30 degrees120, degrees
Step-by-step explanation:
The ratio of the angles is 1:1:4.
Let’s represent the angles by 1x, 1x, and 4x.
The sum of the interior angles of a triangle is 180°.
1x + 1x +4x = 180 Combine like terms.
6 x = 180 Divide each side by 6
x = 30°
1x=1*30=30 degrees
1x=1*30=30 degrees
4x=4*30=120 desgrees
Answer:
30, 30, 120
Step-by-step explanation:
Basic properties of a triangle:
Triangles have 3 sides.The sum of the interior angles of a triangle will always be equal to 180°.The problem:
Find the angle measuresList them in least to greatestGiven information:The ratio of the angles' values are 1:1:4.To solve:
To solve this type of problem, think of the ratio as a variable, x.The ratio would be x:x:4xGiven that revised information, the sum of the interior angles is 6x.Since the sum of the interior angles of a triangle is 180°, 6x = 180°To find x as an individual value, divide both sides of the equation by 6:- 6x = 180- x = 30 Now, to find the angles' values, use the value of x in the ratio to solve:30 : 30 : 120The values of the ratio are your angles!Finally, list from least to greatest and the question is completely answered!Jennifer recently finished paying off her $30,000 fixed-rate student loan. She paid $303.73 per month for 10 years to
complete the payments. How much interest did she pay over the duration of the loan? Round to the nearest cent
Answer:
$6,447.60
Step-by-step explanation:
Since Jennifer's monthly payment was $303.73 and she paid this amount each month for 10 years, multiply the monthly payment by the number of months in 10 years, 120, to determine the total amount that she paid.
$303.73×120=$36,447.60
Now, subtract the stated amount of the loan from the total amount paid to find the amount of interest that was paid.
$36,447.60−$30,000=$6,447.60
Therefore, Jennifer paid $6,447.60 in interest through the duration of the loan.
The total amount of interest of loan paid by Jennifer is $ 6447.60
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount of interest of loan paid by Jennifer be = A
So , the equation will be
Now , the amount she took as loan on fixed rate = $ 30,000
The amount of money Jennifer paid per month = $ 303.73
The total duration of time Jennifer paid off the loan = 10 years
10 years = 10 x 12 months
10 years = 120 months
So , the total amount paid back by Jennifer = Amount of money she paid per month x 120 months
Substituting the values in the equation , we get
The total amount paid back by Jennifer = 303.73 x 120
The total amount paid back by Jennifer = $ 36,447.6
Now , the loan interest amount paid by Jennifer A = total amount paid back by Jennifer - amount she took as loan on fixed rate
Substituting the values in the equation , we get
The loan interest amount paid by Jennifer A = $ 36,447.60 - $ 30,000
The loan interest amount paid by Jennifer A = $ 6447.60
Therefore , the value of A is $ 6447.60
Hence , The total amount of interest of loan paid by Jennifer is $ 6447.60
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
Which problem can be solved with 56 + 7 = 8?
Chloe has 56 pennies. Her brother has 7 times as
many pennies as she has, How many pennies does
her brother have?
Chloe has 56 pennies. She finds 7 more pennies.
How many pennies does she have now?
Chloe has 56 pennies. She puts the pennies into
equal stacks of 7. How many stacks does she make?
Chloe has 56 pennies. She gives away 7 pennies.
How many pennies does she have left?
Answer:
she puts the pennies into equal stacks
Step-by-step explanation:
I think you meant 56 DIVIDED by 7=8, not 56 PLUS 7=8
Answer:
C.Chloe has 56 pennies. She puts the pennies intoequal stacks of 7. How many stacks does she make?
Step-by-step explanation:
The drawing below shows a side view of a picture frame on Mary's desk support 16 4.2 which of the following is the closest to the length of the frame support
Answer:
17 cm
Step-by-step explanation:
Math STAAR Readiness 8 grade Quiz: The drawing below shows a side view of a picture frame on Mary’s desk. Closest to the length of the frame support.
Answer:
17 or D
Step-by-step explanation:
a^2+b^2=c^2
4.2^2+16^2=c^2
17.64+25.6=c^2
c^2=273.64
c=√273.64
c=16.5 which can be rounded up to 17 or D
and I am reviewing for the math staar.