Answer:
Because it makes factoring easier because the coefficient are smaller requiring less step
The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = 0.17 and a sample of 900 households will be selected from the population. Use z-table.
a. Calculate σ(p), the standard error of the proportion of households spending more than $100 per week on groceries (to 4 decimals).
b. What is the probability that the sample proportion will be within +/- 0.02 of the population proportion (to 4 decimals)?
c. What is the probability that the sample proportion will be within +/- 0.02 of the population proportion for a sample of 1,400 households (to 4 decimals)?
Answer:
The right answer is:
(a) 0.01252
(b) 0.8882
(c) 0.9544
Step-by-step explanation:
Given:
Population proportion,
P = 0.17
Sample size,
n = 900
(a)
The standard error of proportion will be:
⇒ [tex]SE_p=\sqrt{\frac{P(1-P)}{n} }[/tex]
By putting the values, we get
[tex]=\sqrt{\frac{0.17(1-0.17)}{900} }[/tex]
[tex]=\sqrt{0.000158}[/tex]
[tex]=0.01252[/tex]
(b)
We know that,
[tex]\hat{P}-P=\pm 0.02[/tex]
Now,
⇒ [tex]z=\frac{\hat{P}-P}{\sqrt{\frac{P(1-P)}{n} } }[/tex]
By substituting the values, we get
[tex]=\frac{\pm 0.02}{\sqrt{\frac{0.17(1-0.17)}{900} } }[/tex]
[tex]=\frac{\pm 0.02}{0.01252}[/tex]
[tex]=\pm 1.59[/tex]
⇒ [tex]P(I\hat{P}-PI<0,02)=P(-1.59<z<1.59)[/tex]
[tex]=1-2P(z<-1.59)[/tex]
[tex]=1-2(0.0559)[/tex]
[tex]=0.8882[/tex]
(c)
We know that,
[tex]\hat{P}-P=\pm 0.02[/tex]
[tex]n = 1400[/tex]
Now,
⇒ [tex]z=\frac{\hat{P}-P}{\sqrt{\frac{P(1-P)}{n} } }[/tex]
By substituting the values, we get
[tex]=\frac{\pm 0.02}{\sqrt{\frac{0.17(1-0.17)}{1400} } }[/tex]
[tex]=\frac{\pm 0.02}{0.01}[/tex]
[tex]=\pm 2[/tex]
⇒ [tex]P(I \hat P-PI<0.02)=P(-2<z<2)[/tex]
[tex]=1-2P(z<-2)[/tex]
[tex]=1-2(0.0228)[/tex]
[tex]=0.9544[/tex]
Plz do.this for 20 points
Step-by-step explanation:
1 2 3 42 4 6 83 6 9 12You need to multiply the row and column to get the numbers
for example the block with row 3 column 3,the answer is 3 x 3= 9
each spinner can land on any of the points it has, thus each of the number have the same possibility.
what weight remains when 5/9 of a cake weighing 450 grams is eaten.
Please help Time limit
Answer:
n = 11. 6n - 4 = 5n + 7.
Step-by-step explanation:
Also, if you've ever read Romeo and Juliet, please help me! I just need a general answer on my questions, and I'll give brainliest.
Are the events independent or dependent. From a bag containing 10 marbles, 5 red, 3 black, 1 blue, and 1 white we pick two marbles:
Event A: Selecting a red marble first pick, and then without replacement
Event B: Selecting a white marble on the second pick
Answer:
Dependent
Step-by-step explanation:
The first draw has 10 marbles, the second draw has 9 marbles and the color of those 9 marbles depends on the marble picked in the first draw so the events are dependent.
Answer:
Dependant
Step-by-step explanation:
It would be independent if you put the marble BACK, because at first it was 1/10 to get the white marble and then it became 1/9.
Which of the Following is a solution to 7x-6y=19
(-5,-3)
,(7,5),
(-4,0)
(1,-2)
Answer:
(1,-2)
Step-by-step explanation:
Choose any value for x that is in the domain to plug into the equation.
Choose 0 to substitute in for x to find the ordered pair.
(0, -19/6)
Choose 1 to substitute in for x to find the ordered pair.
Remove parentheses.
y= -19/6 + 7(1)/6
Simplify
y=2
Use the
x and y values to form the ordered pair.
(1,−2)
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!
Answer: 216
Step-by-step explanation:
We have 3 sets of 6 options.
6x6x6
6x6x6=216
Pleaseeee help me! Options are A, C, B, and D
Step-by-step explanation:
from the solution above, the answer Is A
What is the mode of the data set shown below?
{10, 2, 8, 9, 5, 2, 6}
A. 42
B. 7
C. 6
D. 2
Answer:
D. 2
Step-by-step explanation:
The mode is the number in the data set that appears the most often. 2 appears twice while the others only appear once so 2 is the mode.
Answer:
2
Step-by-step explanation:
The way that you're to find the mode of a data set is by putting the numbers in order (so 2, 2, 5, 6, 8, 9, 10) then whichever number repeats itself the most is the mode.
Please Mark as Brainliest
Hope this Helps
Which word expression represents the algebraic expression shown?
12 – 3x
The difference between twelve and three times a number.
Hope this helps! :)
I need help now plzzzzxz
Answer:
the last one
Step-by-step explanation:
there are 3 negative sings for that
An online survey company wants to know if customer age is important in deciding to subscribe. The company has gathered a random sample of 1000 people from the population and asked each person whether he or she would subscribe to a service. Perform all the steps of a hypothesis test with a = 0.05 to determine whether or not an individual would subscribe to a service and age are independent.
Age
Under 18 18-34 35 and Over Total
Yes 120 262 237 619
No 41 103 237 381
Total 161 365 574 1000
Answer:
service subscription and age are not independent
Step-by-step explanation:
The appropriate statistical test to adopt for the above problem is the Chisquare test.
The hypothesis :
H0 : service subscription and age are independent
H1 : service subscription and age are not independent
Observed values :
Under 18 18-34 35 and Over Total
Yes__ 120 __262 __237__ 619
No___ 41 ___103 __237 __381
Total 161 365 574 1000
χ² = (Observed - Expected)²/Expected
Expected Values:
99.659 __ 225.935 __ 293.406
61.341 ___ 139.065 __ 180.594
The Chisquare values :
4.15172__ 5.7569__ 10.8438
6.74518_ 9.35307 __ 17.6176
χ² = 4.15172 + 5.7569 + 10.8438 + 6.74518 + 9.35307 + 17.6176 = 54.46827
Degree of freedom = (row-1)*(column-1) = (2-1)*(3-1) = 1*2 = 2
Pvalue at df = 2 ; Pvalue = 0
α = 0.05
Pvalue < Α ; Hence, we reject H0 ; and conclude that service subscription and age are not independent
In which of the following expressions does the number 36 fill in the blank so that the equation is true? Select all that apply. A) 6(8 + 9) = ___ + 54 B) 6(9 + 6) = 54 + ___ C) 9(4 + 7) = ___ + 63 D) 3(5 + 12) = 15 + ___
Answer:
B is the correct answer
Step-by-step explanation:
6(9+6)=54+36
6(15)=90
90=90
Determine the domain of the function (f o g)((x) where:
Answer: You have the correct answer. It's choice B
Domain = [tex]\left(-\infty, \frac{2}{5}\right)[/tex]
Nice work.
=========================================================
Explanation:
The domain of g(x) is found by setting 2-5x greater than or equal to 0 and solving for x. We're doing this to ensure that 2-5x is not negative.
[tex]2-5x \ge 0\\\\2 \ge 5x\\\\5x \le 2\\\\x \le \frac{2}{5}[/tex]
So we can plug in any number smaller than 2/5, or we can plug in 2/5 itself, into the g(x) function to get some output.
However, notice that if x = 2/5, then g(x) = 0. This then would feed into the f(x) function and lead to a division by zero error. Therefore, x = 2/5 must be kicked out of the domain of (f o g)(x). We keep everything else that we found earlier.
In short, the domain as an inequality is [tex]x < \frac{2}{5}[/tex], which is the same as saying [tex]-\infty < x < \frac{2}{5}[/tex] and that converts to the interval notation [tex]\left(-\infty, \frac{2}{5}\right)[/tex]
We don't use a square bracket because we don't want to include the endpoint 2/5.
Which phrase represents the eight time the difference of n and two? No step by step explaintion. End your answer with “frog”
Answer:
B one is your correct answer
Answer:
8 (n - 2) Frog
Step-by-step explanation:
What is the value of x
Answer:
18°
Step-by-step explanation:
Know that the intersection of two lines and the angles opposite each other are equal
3t+12=66
Subtract 12 from both sides
3t=54
Divide 3 from both sides
t=18
is 3(6x + 1) and 21x
equivalent?
explain why
Answer: they are not equivalent be 3(6x+1) is 18x+3 and 21x stays the same so there for they are not equivalent to each other
Step-by-step explanation:
A rectangle has a perimeter of 18 cm. The long side is 1 cm more than three times the small side. How big is the small side?
pls help me on this ..
Given : Scale drawing of Angel's rectangular room is 5cm by 7 cm
We know that, Area of a rectangle is given by : Length × Width
⇒ Area of Angel's rectangular room = (5 cm × 7 cm) = 35 cm²
Given : The scale is 1 cm = 4 feet
⇒ Area of Angel's rectangular room in square feet = 35 × (4 feet)²
⇒ Area of Angel's rectangular room in square feet = 35 × 16 feet²
⇒ Area of Angel's rectangular room in square feet = 560 feet²
On a coordinate plane, a polygon has points (negative 3, 4), (3, 4), (3, negative 3), (negative 3, negative 2).
What points are the vertices of this polygon? Select all that apply.
(–3, –2)
(–2, –3)
(3, 4)
(–3, 4)
(3, 3)
(3, –3)
Answer:
(-3,-2)
(-3,4)
(3,4)
(3,-3)
Step-by-step explanation:
Answer:
cant see nun mind showing it
Find x
Find Angle CBD
Find Angle D
Answer:
[tex]thank \: you[/tex]
Think you can figure out the correct answer here
The answer would be 30 because the triangle is 10, the circle is 5, and each black triangle is 2 which would be 10 plus 5 which is 15 then times 2 which is 30.
Answer:
20?
Step-by-step explanation:
If 3 triangles = 30 they we could assume that each triangle = 10
10 + 10 + 10 = 30
If one triangle = 10 then the 2 circles would = 5 in the 2nd equation
10 + 5 + 5 = 20
If 1 circle = 5 then the 1 full squares would = 4
5 + 4 + 4 = 13
1 triangle = 10 , 1 circle = 5, Half a square = 2
10 + 5 * 2 = ?
Using PEMDAS we would multiply 2 and 5 first to get 10
10 + 10 = 20
What is the mean of the data set shown below?
{10, 2, 8, 9, 5, 2, 6}
A. 42
B. 7
C. 6
D. 2
Answer:
6
Step-by-step explanation:
mean is the sum of them all followed by dividing how many there are, so 10 plus 2 plus 8 plus 9 plus 5 plus 2 plus 6 divided by 7 is 6
Let XX be a random variable that is equal to the number of heads in two flips of a fair coin. What is \text E[X^2]E[X 2 ]
Answer:
Step-by-step explanation:
From the given information, it is likely that the random variable(X) have the values below:
Let head be H
Let tail be T
So;
X(HH) = 2;
X(HT) = 1;
X(TH) = 1;
X(TT) = 0
The distribution can now be computed as:
[tex]p(X= TT) = \dfrac{1}{4}[/tex]
[tex]p(X=TH) = \dfrac{1}{4}[/tex]
[tex]p(X=HT) = \dfrac{1}{4}[/tex]
[tex]p(X=HH)= \dfrac{1}{4}[/tex]
Now, the expected value that is equivalent to the number of heads when the coin is flipped twice is:
[tex]E(X) = p(TT)*X(TT)+p(TH)*X(TH)+p(HT)*X(HT)+p(HH)*X(HH)[/tex]
[tex]E(X) = \dfrac{1}{4}\times 0 + \dfrac{1}{4}\times 1 + \dfrac{1}{4}\times 1 + \dfrac{1}{4}\times 2[/tex]
[tex]E(X) = 0 + \dfrac{1}{4}+ \dfrac{1}{4} + \dfrac{1}{2}[/tex]
[tex]E(X) =\dfrac{1+1+2}{4}[/tex]
[tex]E(X) =\dfrac{4}{4}[/tex]
E(X) = 1
[tex]E(X^2) = p(TT)*X(TT)^2+p(TH)*X(TH)^2+p(HT)*X(HT)^2+p(HH)*X(HH)^2[/tex]
[tex]E(X^2) = \dfrac{1}{4}\times 0^2+ \dfrac{1}{4}\times 1^2 + \dfrac{1}{4}\times 1^2 + \dfrac{1}{4}\times 2^2[/tex]
[tex]E(X^2) = 0 + \dfrac{1}{4}+ \dfrac{1}{4} + \dfrac{4}{4}[/tex]
[tex]E(X^2) =\dfrac{1+1+4}{4}[/tex]
[tex]E(X^2) =\dfrac{6}{4}[/tex]
[tex]E(X^2) =1.5[/tex]
Finally; To compute E²[X]
E²[X] = E[X]²
E²[X] = 1²
E²[X] = 1
If someone helps me I’ll give brainless
Answer:
128
Step-by-step explanation:
The two angles form a straight line so they add to 180
2m+62 + 3m +143 = 180
Combine like terms
5m+205=180
Subtract 205 from each side
5m+205-205=180-205
5m = -25
Divide by 5
5m/5 = -25/5
m = -5
We want to find the angle so we substitute the value of m into the the formula for the angle.
< RBM =3m +143 = 3(-5) +143 = -15+143 =128
You have a $50 coupon from the manufacturer good for the purchase of a cell phone. The store where you are purchasing your cell phone is offering a 20% discount on all cell phones. Let x represent the regular price of the cell phone. Use the word bank below to complete each blank. [Click on the phrase to fill in the blank. You do NOT need to type.] A.] Suppose only the 20% discount applies. Find a function \large f\left(x\right) that models the purchase price of the cell phone. f(x)
Answer:
[tex]f(x) = 0.80x[/tex]
Step-by-step explanation:
Given
[tex]x \to price[/tex]
[tex]discount \to 20\%[/tex]
[tex]coupon = \$50[/tex]
Required
The function f(x) if only the discount applies
20% discount implies that the price will be reduced by 20%.
So, the function is:
[tex]f(x) = Price - Price * Discount[/tex]
[tex]f(x) = x - x * 20\%[/tex]
Factorize
[tex]f(x) = x(1 - 20\%)[/tex]
Express percentage as decimal
[tex]f(x) = x(1 - 0.20)[/tex]
[tex]f(x) = x(0.80)[/tex]
[tex]f(x) = 0.80x[/tex]
Combine the following complex numbers.
(16 − 6i) − (2 − 3i)
Answer:
14 - 3i
Step-by-step explanation:
Distribute the minus sign amongst the second equation:
(16 - 6i) - (2 - 3i) = 16 - 6i - 2 + 3i
Solve:
16 - 6i - 2 + 3i:
16 - 2 - 6i +3i
14 - 3i
Hope this helps!
hello! i hope your day is going great! whats 4x 2/1/2??
Answer:
4
Step-by-step explanation:
1/2=0.5
2/0.5=1
4x1=4
convert fraction to decimal 1/5 explanation
Answer: 0.2
Step-by-step explanation:
1 divided by 5 = 0.2
Answer:
0.2
Step-by-step explanation:
1/5 = 1 divided by 5.
This will also apply to any fraction
Fraction = Numerator divided by Denominator
Found out the answer please I can't do this
Answer:
530.929158457
Step-by-step explanation:
13x13= 169 x pi= 530.929158457
