Solution :
a). P(X = x)
= [tex]$p(1-p)^x$[/tex] for x = 0, 1, 2, ....
P(x ≤ 3) = 0.837
b). Expectation = [tex]$\frac{(1-p)}{p}$[/tex]
= 1.7397
Variance = [tex]$\frac{(1-p)}{p^2}$[/tex]
= 4.7663726
Standard deviation = 2.1832
Therefore, mean + standard deviation
= 1.7397 + 2.1832
= 3.9229
[tex]$P(x > 3.9229) = 0.1626$[/tex]
So the required P = 2 x 0.1626
= 0.325
Mr. Arju wishs to purchase a house . to buy the house he needs to make a down payment of nu.300000 and also pay nu.15000 every quarter for the next 8 years. the interest charge is 9% per year compounded quarterly. what is the price of the house?
Answer:
The price of the house is $ 853,735.05.
Step-by-step explanation:
Since Mr. Arju wishes to purchase a house, and to buy the house he needs to make a down payment of $ 300,000 and also pay $ 15,000 every quarter for the next 8 years, if the interest charge is 9% per year compounded quarterly, to determine what is the price of the house, the following calculation must be performed:
300,000 + (15,000 x 12 x 8) = X
300,000 + (180,000 x 8) = X
300,000 + 1,440,000 = X
1,740,000 = X
X x (1 + 0.09 / 4) ^ 8x4 = 1,740,000
X x (1 + 0.0225) ^ 32 = 1,740,000
X x 1.0225 ^ 32 = 1,740,000
X x 2.0381030257737 = 1,740,000
X = 1,740,000 / 2.03810
X = 853,735.05
Therefore, the price of the house is $ 853,735.05.
Which expression is equivalent to -6(-⅔+2x)?
O-4-12x
O-4+ 2x
O 4-12x
O 4+ 12x
Answer:
4-12x
Step-by-step explanation:
opening the brackets;
(-6×-2/3)- 12x
-2×-2 -12x
4-12x
Answer:
4 - 12x
Step-by-step explanation:
We can find an equivalent expression by distributing
-6(-⅔+2x)
Distribute by multiplying -6 times what's inside of the parenthesis ( -2/3 and 2x )
-6 * -⅔ = 4
-6 * 2x = -12x
We would be left with 4 - 12x
Given the set of vectors , decide which of the following statements is true:
A: Set is linearly independent and spans ℛ 3. Set is a basis for ℛ 3.
B: Set is linearly independent but does not span ℛ 3. Set is not a basis for ℛ 3.
C: Set spans ℛ 3 but is not linearly independent. Set is not a basis for ℛ 3.
D: Set is not linearly independent and does not span ℛ 3. Set is not a basis for ℛ 3.
(1,0,0),(0,1,2)
There are four points on a line: A, B, C and D, so that AB=1,BC=2,CD=4. Find the length of segment AD. Consider all possibilities and draw a picture for each one of them.
All possible answers for the length of AD are, _, _, _, _, _.
Answer:
7
Step-by-step explanation:
Since it's on a line, we add up all of the numbers. So 1 + 2 + 4 = 7.
Answer:
7, 1, 5, and 3
Step-by-step explanation:
Because you have to consider all possibilities, you will have multiple different-looking number lines. Using the ratios given in the problem, just by playing around with the letters' placements on the number line you can easily find the length of AD.
Two triangles have the same area. One triangle has a base of 4 cm and a height of 7 cm. If the height of the other triangle is 14 cm, then what is its base length?
3 cm
2 cm
4 cm
5 cm
Answer:
x = 2
Step-by-step explanation:
→ Work out the area of the first triangle
0.5 × 4 × 7 = 14
→ Set up an equation for the second base
0.5 × x × 14 = 14
→ Simplify
7x = 14
→ Divide both sides by 7
x = 2
Answer:
option B = 2cm
Step-by-step explanation:
[tex]Area \ of \ first \ triangle = \frac{1}{2} \times base_1 \times height_1 \ [ \where base_1 = 4\cm \ height_1 \ = 7cm \ ][/tex]
[tex]=\frac{1}{2} \times 4 \times 7 \\\\= 14 \ cm^2[/tex]
Given area of second triangle is same as first.
[tex]Area \ of \ second \ triangle = \frac{1}{2} \times base_2 \times height_2 \ [ \ where \ height _ 2 = 14cm \ ][/tex]
[tex]14 = \frac{1}{2} \times base_2 \times 14\\\\14 = 7 \times base_2\\\\base_2 = 2 \ cm[/tex]
The volume of a rectangular prism is given by 24x3+78x2+49x+10. The height of the prism is given by 2x+5. Find an expression for the area of the base of the prism
Answer:
?
Step-by-step explanation:
i cant not explian that
!PLS HELP I WILL GIVE BRAINLEST!
The net of a rectangular prism is shown
What is the surface area of this prism?
The answer would be 18 square units
Step-by-step explanation:
When talking about surface area, just add up all the units that is listed in the question. - just a tip ;)
Anyways, Hope this helps!! If it's wrong, feel free to curse me out.. haha...
I need help I’ll give u brainlest
Answer:
1000
Step-by-step explanation:
Volume = 10 * 10 * 10 = 1000
Answer:
[tex]Volume = 1000[/tex]
Step-by-step explanation:
Formula to find volume of cube:
[tex]Volume=a^{3}[/tex]
[tex]Volume = 10^{3}[/tex]
[tex]Volume = 10*10*10[/tex]
[tex]Volume = 1,000[/tex]
hope this helps.....
15 friends want to order pizza for dinner. If each friend can eat 1/3 of a pizza, how many pizzas should they order?
Answer:
5
Step-by-step explanation:
[tex]\frac{15}{3} =5\\3 friends=1 pizza\\15 friends=5 pizzas\\[/tex]
Please help please guys how are you doing
Answer:
the answer of the the triangle is 6
Answer:
6
Step-by-step explanation:
First row:
8 ÷ 2 = 4. → Square: 4
Second row:
14 - 4 = 10.
[two circles] = 10. So, 10÷2 = 5.
Circle = 5
Third Row:
[triangle] + 5 = 11
11 - 5 = 6
Triangle = 6
a trader borrowed 2500$ at a sumple interest at the end of 8 months he paid back $2500 find the rate
Answer:
8%
Step-by-step explanation:
Rate = 100×Interest ÷ Principal× Time
100× 2500/ 2500 × 8 = 800
800/100 = 8%
I hope this helps
the probability that a customer of a network operator has a problem about you needing technical staff's help in a month is 0.01. This operator installs internet for 500 households in a residential area a, Calculate the average number of households in this residential area having internet problems in a certain month
b, Calculate the probability that in 6 consecutive months there is only one month that no customer in this area has a network problem that needs the help of technical staff
Answer:
(a) average calls = 5
(b) probability that there is exactly one call in 6 consecutive monts = 0.038
Step-by-step explanation:
Let event of a customer requiring help in a particular month = H
and event of a customer not requiring help in a particular month = ~H
Given
p= 0.01, therefore
Number of households, n = 500.
Binomial distribution:
x = number of households requiring help in a particular month
P(x,n,p) = C(x,n)*p^x*(1-p)^(n-x)
where
C(x,n) = n!/(x!(n-x)!) is the the number of combinations of x objects out of n
(a) Average number of households requiring help = np = 500*0.01 = 5
(b)
Probability that there are no calls requiring help in a particular month
P(0), q= C(0,n)*p^0(1-p)^(n-0)
= 1*1*0.99^500
= 0.006570483
Applying binomial probability over six months,
q = 0.006570483
n = 6
x = 1
P(x,n,q)
= C(x,n)*q^x*(1-q)^(n-x)
= 6!/(1!*5!) * 0.006570483^1 * (1-0.006570483)^5
= 0.038145
Therefore the probability that in 6 consecutive months there is exactly one month that no customer has called for help = 0.038
The dean of the UTC Engineering School at a small Florida college wishes to determine whether the grade-point average (GPA) of a graduating student can be used to predict the graduate's starting salary. More specifically, the dean wants to know whether higher GPAs lead to higher starting salaries. Records for 23 of last year's Engineering School graduates are selected at random, and data on GPA and starting salary ( in $thousands) for each graduate were used to fit the model The dependent variable is____________________________.
Answer:
grade-point average (GPA).
Step-by-step explanation:
The Independent variable may be explained as the variable which is used to manipulate the variable to be predicted. The Independent variable also called the predictor variable takes up several input values in other to observe how the predicted variable changes due to this independent variable. In the scenario described above, the independent variable is the Grade - point average, as it is used to make prediction or manipulate the value of the starting salary earned by a graduate. The starting salary earned is the predicted variable or dependent variable in this scenario.
Elysia has 2 apples she gives 1 to her friend so how many does she have?
Answer:
One Apple.
Step-by-step explanation:
This is a basic subtraction and addition problem. She began with one apple and gave one to her friend. How many apples is Elysia holding now? 2-1= 1
One apple.
Elysia will have one apple, as one apple is being subtracted because she gave it to her friend.
What is subtraction?In math, to subtract means to take away from a group or a number of things. When we subtract, the number of things in the group reduces or becomes less.
Given that, Elysia has 2 apples she gives 1 to her friend,
To find the number of apples Elysia left with, we will subtract the number of apples she gave to her friend to the number of apples she had,
Number of apples Elysia left with = 2-1 = 1
Hence, Elysia will have one apple.
Learn more about subtraction, click;
https://brainly.com/question/2346316
#SPJ2
please help! (listing BRAINLIST and giving points) :)
Answer:
Tan B = 12/5
Sin B = 12/13
Cos B = 5/13
Step-by-step explanation:
sine B = opposite (12)/hypotenuse (13)
= 12/13
Cosine B = adjacent/hypotenuse
= 5/13
Tangent B = opposite/adjacent
= 12/5
Here is a picture that can always help you with the three trig ratios.
Which ordered pair (x,y) satisfies the inequality?
rational numbers.
Example 6: Write any 3 rational numbers between –2 and 0.
-20
0
ondas
-
Answer:
my firnd coli
Step-by-step explanation:
In a plain, robust, conversational style, the author known as “Elena Ferrante” has captivated readers worldwide with her chronicle of a complicated friendship between two women.
Which angle is coterminal to a 185° angle?
Answer:
the answer is -175. I hope that helped
Whoever helps gets Brainliest!!! PLEASE HELP!!!
A random sample of 21 desktop PCs is selected. The mean life span is 6.8 years with a standard deviation of 2.4 years. Construct a 95% confidence interval for the mean life span of all desktop PCs. Assume that the life spans of all desktop PCs are approximately normally distributed (a) (5.85, 7.75) (b) (1.68, 3.12) (c) (5.60, 8.00) (d) (5.71, 7.89) (e) (5.77, 7.83)
Answer:
(d) (5.71, 7.89)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 21 - 1 = 20
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 20 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.086
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.086\frac{2.4}{\sqrt{21}} = 1.09[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 6.8 - 1.09 = 5.71 years
The upper end of the interval is the sample mean added to M. So it is 6.8 + 1.09 = 7.89 years
So the confidence interval is (5.71, 7.89), and the correct answer is given by option b.
a basketball team playd 64 games they won 28 more than they lost
You survey 300 students at the highschool. Of the 300 students, 103 of them said that pizza is their
favorite food. If 751 students attend the high school, about how many students would choose pizza as
their favorite food?
Answer:
258
Step-by-step explanation:
Write the following equation in the general form Ax + By + C = 0.
y - x - 1 = 0
2x - 3y + 6 = 0
2x - 3y - 6 = 0
-2x + 3y - 6 = 0
Answer:
C. -2x +3y-6=0
this is the answer
Find the inverse of \(\Large h(x) = \frac {3}{2}x + 1 \)
Answer:
[tex]h(x) = \frac {3}{2}x + 1 \\ { \tt{let \: the \: inverse \: be \: { \bold{m}}}} \\ { \tt{m = \frac{1}{ \frac{3}{2}x + 1 } }} \\ \\ { \tt{m = \frac{2}{3x + 2} }} \\ \\ { \tt{m(3x + 2) = 2}} \\ \\ { \tt{3x + 2 = \frac{2}{m} }} \\ \\ { \tt{x = \frac{2 - 2m}{3m} }} \\ \\ { \tt{x = \frac{2}{3m}(1 - m) }} \\ \\ { \bf{h {}^{ - 1} (x) = \frac{2}{3x}(1 - x) }}[/tex]
2. Kayli swam 0.7 kilometers at the school swimming pool. How many meters did she swim?
Kayli swam
meters in the swimming pool.
Answer:
To convert kilometres to metres, divide the value by 1000.
0.7 ÷ 1000 = 700 metres
Kayli swam 700 meters in the swimming pool
Hope this helps!
(08.07 MC)
A polynomial function is shown below:
f(x) = x3 − 3x2 − 4x + 12
Which graph best represents the function? (5 points)
Answer:
Graph A (first graph from top to bottom)
Step-by-step explanation:
Given [tex]f(x)=x^3-3x^2-4x+12[/tex], since the degree of the polynomial is 3, the function must be odd and will resemble the shown shape in the graphs. The degree of 3 indicates that there are 3 zeroes, whether distinct or non-distinct. Therefore, the graph must intersect the x-axis at these three points.
Factoring the polynomial:
[tex]f(x)=x^3-3x^2-4x+12,\\f(x)=(x+2)(x-2)(x-3),\\\begin{cases}x+2=0, x=-2\\x-2=0, x=2\\x-3=, x=3\end{cases}[/tex]
Thus, the three zeroes of this function are [tex]x=-2, x=2, x=3[/tex] and the graph must intersection the x-axis at these points. The y-intercept of any graph occurs when [tex]x=0[/tex]. Thus, the y-coordinate of the y-intercept is equal to [tex]y=0^3-3(0^2)-4(0)+12,\\y=12[/tex] and the y-intercept is (0, 12).
The graph that corresponds with this is graph A.
A box of golf balls contains 10 balls. Each golf ball has a diameter of 3.6 centimeters. What is the total
volume of golf balls in 3 boxes?
about 1465.74 cm
c. about 1221.45 cm
b. about 732.87 cm
d. about 81.43 cm
Answer:
C
Step-by-step explanation:
Pls help pls help pls help
Answer:
tubol mo mabaho kaya 1 too 5 so it means 5 days ka sa cr nag tutubol, ok i hope it helps its the grett answer do it in your solution paper or computers
Which of the following best describes the use of the formula S = (n - 2)180°,
where n is the number of sides?
A. It is used to find the number of interior angles in a regular polygon.
B. It is used to find the sum of the interior angles in a regular
polygon.
O c. It is used to find the sum of the exterior angles in a regular
polygon
O D. It is used to find the number of exterior angles in a regular
polygon
SUBMIT
|-5| >3 true or false plssssss answer it’s important
Answer:
TRUE
Step-by-step explanation:
Those lines around the -5 mean the absolute value of the number, basically the value of the number without any negative signs. SO the absolute value of -5 is just 5.
5 IS GREATER than 3, so this is true
ur welcome :)
