Answer:
22.5
Step-by-step explanation:
50%of5+20%=22.5
50/100×5=2.5
2.5+20=22.5%
Answer:
3 gallons
Step-by-step explanation:
10=100 percent
10/5 =2
5-2=3
3 gallons
Please help me with these questions. I’m genuinely confused.
Answer:
16. 1 4/5
17. 2 2/3
18. 4/11
19. 4 1/2
20. 4/7
21. 1/2
22. 1 2/5
23. 2 1/2
24. 4 2/3
Step-by-step explanation:
1. subtract whole numbers first
2. subtract fractions next (simplify if you can)
3. subtract fractions and whole numbers
Use set builder notation to write the set E= {1, 3, 9, 27}
PLEASE NO SPAMMING I NEED AN ANSWER NOW
Answer:
E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }Step-by-step explanation:
Given set:
E = {1, 3, 9, 27}We observe that:
1 = 3⁰, 3 = 3¹, 9 = 3², 27 = 3³Each term can be shown as 3ⁿ, where n is natural number between 0 and 3.
Set builder notation:
E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }Here let's observe
1=3^03=3^19=3^227=3^3So set builder form:-
[tex]\\ \sf\longmapsto E=\{x|x=3^n,n\in N,0\leqslant n\leqslant 3\}[/tex]
Let represent the number of typographical errors made per page typed by a receptionist during a particular day at the office. The following table lists the probability distribution of .
= 0 1 *** 4 5 ( = ) * ** 0.40 0.13 0.02
Assuming that * = 2 (**) and E(X) = 12.77
(a) Find the values of ‘*’, ‘**’, and ‘***’.
(b) Determine P(1 ≤ < 4).
Using the principle of expected value and discrete probability distribution, the missing values are :
* = 0.30** = 0.15*** = 30P(1 ≤ Y ≤ 4) = 0.28The Expected value, E(X) is defined thus :
E(X) = Σ[(X) × (P(X)]The cummulative sum of the probability is 1 :
(* + ** + 0.40 + 0.13 + 0.02) = 1 - - - (1)* = 2(**)Hence, we have ;
2** + ** + 0.40 + 0.13 + 0.02 = 1
3** + 0.55 = 1
3** = 1 - 0.55
3** = 0.45
** = 0.45 / 3
** = 0.15
Hence,
* = 2(0.15)
* = 0.30
To find *** :
E(X) = (0 × 0.30) + (1 × 0.15) + (*** × 0.40) + (4 × 0.13) + (5 × 0.02)
12.77 = 0 + 0.15 + 0.40*** + 0.52 + 0.10
12.77 = 0.77 + 0.40***
12.77 - 0.77 = 0.40***
12.00 = 0.40***
*** = 12.00/0.40
*** = 30
B.)
P(1 ≤ Y ≤ 4) = P(y = 1) + P(y = 4)
P(1 ≤ Y ≤ 4) = 0.15 + 0.13 = 0.28
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HELPPPP!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
125/29.35=4.409171076
4.409171076 is rounded to 4.41
2. Suppose that you are looking for a student at your college who lives within five miles of you. You know that 55% of the 25,000 students do live within five miles of you. You randomly contact students from the college until one says he or she lives within five miles of you.
(a) What is the probability that you need to contact four people?
(b) How many students from the college you expect to contact until you find one lives within five miles of you?
(C) What is the standard deviation of the number of students to be contacted until one says who lives within five miles of you?
(d) Suppose you randomly ask 5 students at your college, what is the probability that 3 of them live within five miles of you?
(e) Suppose you randomly ask 5 students at your college, what is the expected number of students who live within five miles of you?
Using the binomial distribution, it is found that:
a) There is a 0.0501 = 5.01% probability that you need to contact four people.
b) You expect to contact 1.82 students until you find one who lives within five miles of you.
c) The standard deviation is of 1.22 students.
d) 0.3369 = 33.69% probability that 3 of them live within five miles of you.
e) It is expected that 2.75 students live within five miles of you.
For each student, there are only two possible outcomes. Either they live within 5 miles of you, or they do not. The probability of a student living within 5 miles of you is independent of any other student, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
55% live within five miles, hence [tex]p = 0.55[/tex].Item a:
This probability is P(X = 0) when n = 3(none of the first three) multiplied by 0.55(the fourth does live within five miles), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.55)^{0}.(0.45)^{3} = 0.091125[/tex]
[tex]p = 0.091125(0.55) = 0.0501[/tex]
0.0501 = 5.01% probability that you need to contact four people.
Item b:
The expected number of trials in the binomial distribution until q successes is given by:
[tex]E = \frac{q}{p}[/tex]
In this problem, [tex]p = 0.55[/tex], and 1 trial, thus [tex]q = 1[/tex], hence:
[tex]E = \frac{1}{0.55} = 1.82[/tex]
You expect to contact 1.82 students until you find one who lives within five miles of you.
Item c:
The standard deviation of the number of trials until q successes are found is given by:
[tex]S = \frac{\sqrt{q(1 - p)}}{p}[/tex]
Hence:
[tex]S = \frac{\sqrt{0.45}}{0.55} = 1.22[/tex]
The standard deviation is of 1.22 students.
Item d:
This probability is P(X = 3) when n = 5, hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{5,3}.(0.55)^{3}.(0.45)^{2} = 0.3369[/tex]
0.3369 = 33.69% probability that 3 of them live within five miles of you.
Item e:
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
Hence:
[tex]E(X) = 5(0.55) = 2,75[/tex]
It is expected that 2.75 students live within five miles of you.
A similar problem is given at https://brainly.com/question/25343741
A car can go 420 miles on a tank of gas (15 gallons in a tank). How many kilometers can this car go on 6.5 gallons
Answer:
182 miles
Step-by-step explanation:
15 gallons ------------------------- 420 miles
1 gallons --------------------------- 420/15 miles
1 gallons --------------------------- 28 miles
6.5 gallons -------------------------- 6.5 × 28 miles
6.5 gallons -------------------------- 182 miles
The car can go 182 miles on 6.5 gallons.
It is given that the a car can go 420 miles on a tank of gas of 15 gallons in a tank.
It is required to find the how many kilometers can this car go on 6.5 gallons.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called denominator.
We have a car can go 420 miles on 15 gallons gas.
A car can go on 1 gallon = [tex]\frac{420}{15}[/tex] = 28 miles ie.
A car can go on 1 gallon = 28 miles
On 6.5 gallons car can go = 6.5×28
= 182 miles
Thus, the car can go 182 miles on 6.5 gallons.
Learn more about the fraction here:
brainly.com/question/1301963
Choose the best answer.
The area of the face of a quarter is about
O A. 63 cm
OB. 63 m2
O C. 63 mm2
O D. 63 dm?
Answer:
One face of a US quarter has an area of approximately 461.21 square millimeters.
Step-by-step explanation:
If a/(a+b) = 37/40 Find a/(a-b)
a/(a+b) = 37/40
(a+b)/a = 40/37
a/a + b/a = 40/37
1 + b/a = 40/37
b/a = 40/37 - 1
= 3/37
1 - b/a = 34/37
(a-b)/a = 34/37
a/(a-b) = 37/34
Good Luck
Find the lines of symmetry. Select all that apply. Thank you!
Answer:
l and n
Step-by-step explanation:
Two customers went to a post office to buy postcards and large envelopes. Each postcard costs the same amount, and each large envelope costs the same amount. The first customer paid $12 for 14 postcards and 5 large envelopes. The second customer paid $24.80 for 10 postcards and 15 envelopes. What was the cost in dollars of each large envelope?
A-$1.42
B- $1.15
C- $0.35
D- $0.63
The cost in dollars of each large envelope is $1.42.
Two equations can be derived from this question:
14p + 5l = 12 equation 1
10p + 15l = 24.80 equation 2
Where:
p = postcards
l = large envelopes
To determine the cost of large envelopes, multiply equation 1 by 10 and equation 2 by 14.
140p + 50l = 120 equation 3
140p + 210 = 347.20 equation 4
Subtract equation 3 from 4
227.20 = 160l
Divide both sides of the equation by 160
l = 227.20 / 160
l = $1.42
To learn more, please check: brainly.com/question/23589883
I need help on this question please factorise into brackets then solve for x
Answer:
x = 7
Step-by-step explanation:
The difference between the length and width is 3 , then length = x - 3
area (A) of rectangle = length × width
A = x(x - 3) = 28 , distribute parenthesis
x² - 3x = 28 ( subtract 28 from both sides )
x² - 3x - 28 = 0 ← in standard form
(x - 7)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 4 = 0 ⇒ x = - 4
However, x > 0 , then x = 7
Consider the steps to solve the equation.
2
5
(
1
2
y + 20 ) −
4
5
=
9
20
(2y − 1)
Distribute:
1
5
y + 8 −
4
5
=
9
10
y −
9
20
What is the next step after using the distributive property?
A. Use the multiplication property of equality to isolate the variable term on one side of the equation.
B. Use the multiplication property of equality to isolate the constant on one side of the equation.
C. Combine the like terms on the right side of the equation.
D. Combine the like terms on the left side of the equation.
Answer:
The answer is D
Step-by-step explanation:
D
divide £100 into 1:4
Answer: the answer is 25
Step-by-step explanation:
First do 100/1
Then do 1 x 100/1 x 4
so then divide 100 by 4 =
25/1 =
25
plz help I can't get it
Answer:
A) 0.25/0.6 B) 40:96 E) 1/3 / 0.8
Step-by-step explanation:
A)
0.25/0.6 = 1/4÷3/5
=5/12
B)
40:96 = 5:12 You can divide 40 and 96 both by 8 to get 5:12
=5/12
E)
1/3 / 0.8 = 1/3 ÷ 4/5
=5/12
Hope this helps :)
Sales commissions: A company studied two programs for compensating its sales staff. Nine salespeople participated in the study. In program , salespeople were paid a higher salary, plus a small commission for each item they sold. In program , they were paid a lower salary with a larger commission. Following are the amounts sold, in thousands of dollars, for each salesperson on each program
Salesperson
Program 1 2 3 4 5 6 7 8 9
A 55 22 34 22 25 61 55 36 68
B 53 24 36 28 31 61 58 38 72
Required:
Can you conclude that the mean sales differ between the two programs? Use the α = 0.05 level of significance
Using the t-distribution, it is found that since the absolute value of the test statistic is less than the critical value for the two-tailed test, you cannot conclude that the mean sales differ between the two programs.
At the null hypothesis, it is tested if the mean sales do not differ between the two programs, that is, the subtraction of the means is 0, hence:
[tex]H_0: \mu_1 - \mu_2 = 0[/tex]
At the alternative hypothesis, it is tested if they differ, that is:
[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]
The mean and the standard errors for each sample are:
[tex]\mu_1 = 42, s_1 = 5.9675[/tex]
[tex]\mu_2 = 44.56, s_2 = 5.6177[/tex]
The distribution of the difference has mean and standard deviation given by:
[tex]\overline{x} = \mu_2 - \mu_1 = 44.56 - 42 = 2.56[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{5.9675^2 + 5.6177^2} = 8.1957[/tex]
The test statistic is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.
Then:
[tex]t = \frac{2.56 - 0}{8.1957}[/tex]
[tex]t = 0.31[/tex]
The critical value for a two-tailed test, as we are testing if the mean is different of a value, with 9 + 9 - 2 = 16 df and a significance level of 0.05 is [tex]|t^{\ast}| = 2.12[/tex]
Since the absolute value of the test statistic is less than the critical value for the two-tailed test, you cannot conclude that the mean sales differ between the two programs.
A similar problem is given at https://brainly.com/question/13873630
find the area of the triangle. 20ft, by 21ft. by 29ft.
Answer:
a=210ft²
The area of the triangle is 210 square feet.
Step-by-step explanation:
This is a right triangle, as shown by the Pythagorean theorem:
[tex]20^{2} +21^{2} =29^{2} \\400+441=841\\841=841[/tex]
The 2 perpendicular legs of a right triangle are also the base and height of a rectangle of the same size. A right triangle is exactly half of that rectangle, and therefore the area of a right triangle is exactly half of the area of that rectangle.
The area of that rectangle is:
[tex]a=b*h\\a=20*21\\a=420[/tex]
And then the area of the triangle is:
[tex]a=\frac{420}{2}\\a=210[/tex]
Simplify the expression.
6(12 – 3) + 4 + (3 × 2)
a.64
b.96
c.144
d.208
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]6(12-3)+4+(3)(2)[/tex]
[tex]=(6)(9)+4+(3)(2)[/tex]
[tex]=54+4+(3)(2)[/tex]
[tex]=58+(3)(2)[/tex]
[tex]=58+6[/tex]
[tex]= 64[/tex]
Answer:64.
Hopefully, this helps you!!
[tex]Sokka[/tex]
Musa had 3/ 5 ton of grain for all the animals on his large farm. He used 1 /20 ton each day to feed all his animals. How many days was it until Musa needed more grain?
Answer:
12 days
Step-by-step explanation:
'd' = number of days
1/20d ≤ 3/5
multiply each side by 20 to get:
d ≤ 60/5 or d ≤ 12
If a 32 ft. tall tree casts an 8 ft. shadow , how long of a shadow dc 6 ft. tall man have?
Answer:
1.5ft
Step-by-step explanation:
32/8=4
32/4=8
6/4=1.5
A model rocket is launched with an initial upward velocity of 125/fts. The rocket's height h (in feet) after t seconds is given by the following.
h=125t- -16t^2
Answer:
H = V0 t + 1/2 g t^2 is the equation in question with V0 and g in different directions, they have different signs
What number should be placed in the box to help complete the division calculation? (1 point) Long division setup showing an incomplete calculation. 19 is in the divisor, 8216 is in the dividend, and 4 hundreds and 3 tens is written in the quotient. 7600 is subtracted from 8216 to give 616. An unknown value represented by a box is being subtracted from 616.
Answer:
The unknown value is being subtracted from 702 is 650
Step-by-step explanation:
Long division setup showing an incomplete calculation
13 is in the divisor
3302 is in the dividend
2 hundreds and 5 tens is written in the quotient
2600 is subtracted from 3302 to give 702
An unknown value represented by a box is being subtracted from 702
We need to find this number
Lets write the steps above
∵ The dividend = 3302
∵ The divisor = 13
- 2 hundreds means 200 and 5 tens means 50
∵ The quotient = 200 + 50 + x
∵ Dividend = divisor × quotient
∴ (13 × 200) + (13 × 50) + (13 × x) = 3302
∵ 13 × 200 = 2600
- Subtract 2600 from the dividend
∴ 3302 - 2600 = 702
∵ 13 × 50 = 650
∴ 702 - 650 = 52 ⇒ 650 is the unknown value
∵ 13 × x = 13x
∵ 52 - 13x = 0
- Add 13 x to both sides
∴ 52 = 13x
- Divide both sides by 13
∴ x = 4
∴ 3302 ÷ 13 = 200 + 50 + 4
∴ 3302 ÷ 13 = 254
∴ From the steps above the missing number subtracted from
702 is 650
How to divide 4 divided by 2/3
According to your question, (4 divided by 2/3):-
[tex] \frac{4}{ \frac{2}{3} } [/tex]
By reciprocal, it. becomes:
[tex]4 \times \frac{3}{2} [/tex]
As we know that 2×2 is 4, cancel 4. Then we get:-
[tex]2 \times 3[/tex]
[tex]→6[/tex]
Therefore, the answer is 6
0.98x0.23 what is 0.98 times 0.23?
Answer:
0.2254
Step-by-step explanation:
multiply using long multuplication
Carla and Diane Bought identical suit cases at a different stores. Carla’s suitcase originally cost $85 and was on sale for 20% off the original price which suitcase was a the better deal? What do we know ? List important facts ? What do we want to find out ?? Solve ??? Show ur work? Explain starts ur Asnwer and give details ? And justify your steps ?
Answer:
Carla's was the better deal with $68.00
Diane's: $85.00
Step-by-step explanation:
0.2 x 85 = 17
85 - 17 = 68$
Jackie works as a server at a local restaurant. She makes $8 per hour. She worked 34 hours last week. She made $250 in tips. What was her gross pay?
Zander was given two functions: the one represented by the graph and the function f(x) = (x + 4)2. What can he conclude about the two functions?
They have the same vertex.
They have one x-intercept that is the same.
They have the same y-intercept.
They have the same range.
Answer:
C.They have the same y-intercept.
Step-by-step explanation:
Edge 2021
The conclusion about the two functions is (c) they have the same y-intercept.
What are functions?Functions are used to represent equation, graphs and tables
The equation of the function is given as:
[tex]f(x) = (x + 4)^2[/tex]
Set x = 0, to calculate the y-intercept
[tex]f(0) = (0 + 4)^2[/tex]
Evaluate
[tex]f(0) = 16[/tex]
From the complete question, the graph crosses the y-axis at y = 16
This means that both functions have the same y-intercept
Hence, the true statement about the functions is (c) they have the same y-intercept.
Read more about functions at:
https://brainly.com/question/15602982
In which quadrant would you find the graph of (-5, -6)?
O AT
O B) ||
O C) IUI
O D) IV
Answer:
Third quadrant
Step-by-step explanation:
To count quadrants, you do it counter-clockwise, so, since the point is in the (negative, negative) quadrant, it is the third one
NEED HELP PLS
Find the equation of the exponential function represented by the table below:
Answer:
y = 5(4ˣ)
Step-by-step explanation:
Answer:
y = 5 * 4^x
Step-by-step explanation:
exponential functions are of the form
y = ab^x
to find a use point (0, 5)
5 = ab^0
5 = a * 1
a = 5
To find b use any other point
using (1, 20)
20 = 5(b^1)
4 = b^1
b = 4
The equation is
y = 5 * 4^x
Help help help pelesss please
Answer:
its 1
Step-by-step explanation:
it literly says it on the grid and its really simple
What is the length of the unknown leg in the right triangle?
Answer:
a is 20 cm long
Step-by-step explanation:
I used a triangle solver to get that length, sorry I can't actually prove it step by step
hope this helps!