Answer:
a) The mean is of [tex]\mu = 0.16[/tex]
b) The standard deviation is of [tex]s = 0.008[/tex]
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Question a:
Exactly 16% of all applications were from minority members
This means [tex]p = 0.16[/tex], and thus, the mean is of [tex]\mu = p = 0.16[/tex]
b. Find the standard deviation of p.
2100 open positions, thus [tex]n = 2100[/tex].
[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]s = \sqrt{\frac{0.16*0.84}{2100}}[/tex]
[tex]s = 0.008[/tex]
The standard deviation is of [tex]s = 0.008[/tex]
A family uses 15 gallons of milk every 3 weeks. At that rate, about how many gallons of milk will they need to purchase in a year’s time?
Give your answer as a whole number.
They will need to purchase
Answer:
15 gallons of milk at 3 week
15/3= 5
for a month 5 * 4 =20
in a year 12 * 20 = 240
Step-by-step explanation:
If p and q are the roots of 2x²+ 6x = 12 + 4x, and p < q, find q − p
Step-by-step explanation:
The given equation can be further simplified into
[tex]2x^{2}+2x-12=0[/tex]
The roots of a quadratic equation is given by
[tex]x = \dfrac{ - b \: \pm \: \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
where a = 2, b = 2 and c = -12. Putting these into the roots equation, we get
[tex]x = \dfrac{ - 2 \: \pm \: \sqrt{4 \: - \: 4(2)( - 12)} }{2(2)} = \dfrac{ - 2 \: \pm \: 10}{4}[/tex]
This gives us two possible roots:
x = 2, x = -3
Since the condition is that p < q, we see that p = -3 and q = 2. Therefore,
[tex]q - p = 2 - ( - 3) = 5[/tex]
Need help with this question
Answer:
cant see it
Step-by-step explanation:
just type it out
BC=
Round your answer to the nearest hundredth.
Answer:
1.71 = BC
Step-by-step explanation:
take 70 degree as reference angle
using cos rule
cos 70 = adjacent / hypotenuse
0.3420 = BC / 5
0.3420*5 = BC
1.71 = BC
Calculate the BMI for a woman who is 165 cm tall and weighs 65 kg.
When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps andfound that 1304 of them were not pumping accurately (within 3.3 oz when 5 gal ispumped),and 5689 pumps were accurate. Use a 0.01 significance level to test the claimof an industryrepresentative that less than 20% of the pumps are inaccurate.
Answer:
The p-value of the test statistic from the standard normal table is 0.0017 which is less than the level of significance therefore, the null hypothesis would be rejected and it can be concluded that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate.
Step-by-step explanation:
Here, 1304 gas pumps were not pumping accurately and 5689 pumps were accurate.
x = 1304, n = 1304 + 5689 = 6993
The level of significance = 0.01
The sample proportion of pump which is not pumping accurately can be calculated as,
The claim is that the industry representative less than 20% of the pumps are inaccurate.
The hypothesis can be constructed as:
H0: p = 0.20
H1: p < 0.20
The one-sample proportion Z test will be used.
The test statistic value can be obtained as:
[tex]Z=\frac{\hat{p}-P}{\sqrt{\frac{P(1-P))}{n}}}\\\\Z=\frac{0.186-0.20}{6993}\\\\Z=-2.927[/tex]
The points A(-3, -4) and B(5, 0) form a line segment. Find the coordinates of the point P that partitions segment AB in a 2:3 ratio.
Answer:
Step-by-step explanation:
let the coordinates of P be (x,y)
[tex]x=\frac{mx2+nx1}{m+n} \\y=\frac{my2+ny1}{m+n} \\x=\frac{2(5)+3(-3)}{2+3} \\x=\frac{10-9}{5} =\frac{1}{5} =0.2\\y=\frac{2(0)+3(-4)}{2+3} \\y=\frac{0-12}{5} =\frac{-12}{5} =-2.4\\[/tex]
so coordinates of P are (0.2,-2.4)
if u can answer all them correctly ill make a post for u and u can have all my coins just pls answer them all im begging
Answer: this is a continuation starting in number 4 (use the same steps as example 3)
Step-by-step explanation:
-12
45
-12
14
32
-2
5
please solve in the next 10 minutes pleaseeee
Answer:
43.82 mph
266.67 feet
Step-by-step explanation:
Given :
S = √30fl
S = speed of car
f = drag Coefficient
l = Length of skid mark
If f = 0.8 ; l = 80 feets
s = √30fl
s = √(30*0.8*80)
s = √1920
s = 43.817
s = 43.82 mph
B.)
s = 80 mph
f = 0.8
s = √30fl
80 = √30*0.8*l
80 = √24l
Square both sides
80² = 24l
6400 = 24l
l = 6400/24
l = 266.67 feets
easy math questions please help me:)! solve for x and show work
Answer:
4) 93°
5) 1°
6) 51°
7) 6°
Step-by-step explanation:
4)
180 - 36 - 51 = 93
93 °
5)
(4x + 27 ) = 180 - 64 - 85
4x + 27 = 31
x = 1
6)
theory of exterior angles in a triangle:
21 + 30 = x
x = 51
7)
3x + 42 = 46 + 44
3x + 42 = 90
3x = 48
x = 16
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Will mark Brainlest helppp plllllssss
Answer:
2h
Step-by-step explanation:
f(3 + h) = 2(3 + h)^2 + 1
= 2(3^2 + h^2) + 1
= 2(9) + 2h^2 + 1
= 18 + 2h^2 + 1
= 2h^2 + 19
f(3) = 2(3)^2 + 1
= 2(9) + 1
= 18 + 1
= 19
2h^2 + 19 - 19 / h
2h^2 / h
2h
PLEASE HELP ME WITH THIS ONE QUESTION
How many combinations with repetition are allowed if n = 6 and r = 3?
A) 27
B) 20
C) 18
D) 56
Answer:
D. 56
Step-by-step explanation:
The general solution for the number of combinations with repetition is represented by the following expression:
[tex]x = \frac{(n + r - 1)!}{r!\cdot (n-1)!}[/tex] (1)
Where:
[tex]n[/tex] - Total number of elements.
[tex]r[/tex] - Number of the sample.
If we know that [tex]n = 6[/tex] and [tex]r = 3[/tex], then the number of combinations with repetition:
[tex]x = \frac{(6+3-1)!}{3!\cdot (6-1)!}[/tex]
[tex]x = 56[/tex]
Hence, correct answer is D.
given that abc=def what is the measure of d
Answer:
C. 47 deg
Step-by-step explanation:
m<A = 180 - 94 - 39 = 47
m<D = m<A = 47
Given the triangle below, what is the length of the third side, rounded to the
nearest whole number?
B
18
A
12
620
Triangle not drawn to scale
A. 18
B. 14
C. 16
D. 20
Answer:
Option C
Step-by-step explanation:
In this question measure of two sides and and the angle between these sides of a triangle is given.
We have to calculate the measure of third side.
By applying cosine rule in the given triangle.
BC² = AB² + AC² - 2(AB)(AC)cos(A)
BC² = (18)² + (12)² - 2(18)(12)cos(62°)
BC² = 324 + 144 - 202.81
BC² = 265.19
BC = 16.28
BC ≈ 16 units
Therefore, Option C will be the correct option.
I can not figure out word problems, please help.
The area of a rectangle is 29 square feet. If the length is 3 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth.
Step-by-step explanation:
a rectangle which has a length which was three times the width could be
3 x 9 - this would give a total of just 27 feet.....so we know its bigger than this.....but essentially this starting place puts us in the right ballpark
following on from this....
if we do.....3.11 x 9.33 - this gives us 29.0163
and we have a rectangle which meets the criteria
Which of these graphs represents a function?
Answer:
[tex]{ \tt{graph \: y \:and \:graph\: z}}[/tex]
can someone help me with this?
Answer: 22
Step-by-step explanation: 44:2=22
What is the value of x in this number sentence
[tex]\frac{x}{7} - 4 = 6[/tex]
Answer:
[tex]\huge\boxed{\boxed{\underline{\textsf{\textbf{Answer}}}}}[/tex]
[tex] \frac{x}{7} - 4 = 6 \\ \frac{x}{7} = 6 + 4 \\ \frac{x}{7} = 10 \\ x = 10 \times 7 \\ x = 70[/tex]
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
➳ RainbowSalt2²2² ❦
09:30 to 17:00 minus 30 minutes
How many hours is that ?
Answer:
7 hours
Step-by-step explanation:
9 : 30 to 17:00 = 7 hours 30 minutes
Minus 30 minutes = 7 hours
If H0 is rejected for an analysis of variance, what can we conclude?
a. We can conclude that all the population means have the same value.
b. We can conclude that at least one of the population proportions has a different value.
c. We can conclude that at least one of the population means has a different value than the other population means.
d. We can conclude that all the population means have different values.
Answer: We can conclude that at least one of the population means has a different value than the other population means.
Step-by-step explanation:
When the null hypothesis is rejected for an analysis of variance, we can then conclude that at least one of the population proportions has a different value.
For one-way analysis of variance, it should be noted that the null hypothesis is rejected when there is sufficient evidence which is used in making the conclusion that not all the means are equal and that there is a different value.
find the area of the given figure
[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]
Radius of the circle "[tex]r[/tex]" = 5.5 yd
[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]
The area of the given figure.
[tex]\sf \bf {\boxed {\mathbb {SOLUTION :}}}[/tex]
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {b. \:47.5\:sq\:yd.}}}}}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]
We know that,
[tex]\sf\pink{Area\:of\:a\:semi-circle}[/tex] = [tex]\frac{\pi \: {r}^{2} }{2} [/tex]
Using 3.14 for π, we have
[tex] = \frac{3.14 \times ( {5.5 \: yd})^{2} }{2} \\[/tex]
[tex] = \frac{3.14 \times 5.5 \times 5.5 \: {yd}^{2} }{2}\\ [/tex]
[tex] = \frac{94.985 \: {yd}^{2} }{2} \\[/tex]
[tex] = 47.5 \: {yd}^{2} \\[/tex]
Using [tex]\frac{22}{7} [/tex] for π,
[tex] = \frac{22 \times 5.5 \times 5.5 \: {yd}^{2} }{7 \times 2} \\[/tex]
[tex] = \frac{665.5 \: {yd}^{2} }{14}\\ [/tex]
[tex] = 47.5 \: {yd}^{2} \\[/tex]
Therefore, the area of the semi-circle is [tex]47.5\: yd²[/tex].
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}[/tex]
please answer i will mark brainliest :)
Answer:
c I think that's the right answer
The graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is graphed passing through the y-axis at y = 4. Function 2 y = 8x + 12 How much more is the rate of change of function 2 than the rate of change of function 1? (4 points) Select one: a. 3 b. 4 c. 5 d. 8
Answer:
A
Step-by-step explanation:
Let a, b, c be the three observations. The mean of these observations is.
(a) a+b+c2 (b) a×b×c2 (c) a+b+c3 (d) a+bc
Answer: a+b+c/3
Step-by-step explanation:
mean= sum of all values/number of values
Sally wants to make a chocolate crunchy cake.
The recipe uses 16 biscuits and 22 squares of chocolate.
13
Sally wants to make her cake with 24 biscuits.
How many squares of chocolate will she need?
Answer:
33 squares of chocolate need
Answer:
33 Biscuits
Step-by-step explanation:
Uni method
How much biscuits do we need for 1 square of chocolate?
22/16 = 1.3
For 1 square of chocolate she needs 1.3 Biscuits.
So for 24 biscuits,
24 * 1.3
=33 biscuits
Có 7 cây hãy trồng thành 6 hàng, mỗi hàng 3 cây?
Answer:
Step-by-step explanation:
Bạn vẽ 1 tức giác ABCD lồi sau đó nối AB và CD cắt nhau tại E, AD và BC cắt nhau tại F, AC và BC cắt nhau tại G. Trồng 7 cây vào các điểm ABCDEFG l. Ta có sáu hàng là ABE, DCE, BCF, ADF, ACG, BDG
If the circumference of the circle is 88 cm, then its radius is 14 cm.
true or false?
Answer:
The radius is approximately 14 cm
Step-by-step explanation:
The circumference
C = 2 * pi *r
88 = 2 * pi *r
Divide by 2
44 = 3.14 *r
Divide by 3.14
44/3.14 = r
14.01273885=r
4(2x + 3) ÷ 5y
The expression above provides an example of each of the following: sum, term, product, factor, quotient, and coefficient. If any are not present, write "not present."
Answer:
8xy+12y/5
Step-by-step explanation:
write the division as a fraction
4(2x+3)/5 y
Calaucte the product
4y(2x+3)/5
Distbtute 4y through the parentheis
8xy+12y/5
which gives you 8xy+12y/5
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Task #3 Mariam’s Job
Date Completed:
Mariam makes $50 a week.
a) Show this relationship in a graph below.
b) What is the unit rate of the line in the equation?
c) What is the connection between the unit rate and the amount of money Mariam makes per week?
d) Write the equation for this relationship.
e) Is this a proportional relationship? Justify your answer.
Answer:
a
Step-by-step explanation:
PLEASE CAN SOMEONE HELP ME??????????????
Answer: 180 degrees rotation, center (1.5, -0.5)
=====================================================
Explanation:
Notice how point (1,-1) on triangle A moves to (-2,0) and then that rotates to (2,0)
Form a line segment from (1,-1) to (2,0) to show the beginning and end states. The equation of the line through these two points is y = x-2
--------------
Similarly, the point (1,-4) moves to (-2,-3) after applying the translation vector, then it rotates to (2,3). Draw a line through (1,-4) and (2,3). The equation of this line is y = 7x-11
--------------
We have this system of equations
[tex]\begin{cases}y = x-2\\y = 7x-11\\\end{cases}[/tex]
Equate the right hand sides and solve for x
7x-11 = x-2
7x-x = -2+11
6x = 9
x = 9/6
x = 3/2
x = 1.5
which leads to
y = x-2 = 1.5-2 = -0.5
or
y = 7x-11 = 7(1.5)-11 = 10.5-11 = -0.5
Either way, x = 1.5 leads to y = -0.5
We get the ordered pair (x,y) = (1.5, -0.5)
This is the center of rotation when rotating figure A to have it match up with triangle C (the triangle in the upper right quadrant)
Notice in the diagram below point D is that center of rotation. Also, notice that if we use the distance formula, you should find that
AD = A''D
BD = B''D
CD = C''D
