Answer:
(6,3)
Step-by-step explanation:
Two is two away from four and since it is on the left side, you add to get six as your x coordinate. The y coordinate stays the same.
A recent article in the paper claims that government ethics are at an all-time low. Reporting on a recent sample,
the paper claims that 43% of all constituents believe their representative possesses low ethical standards.
Suppose 20 of a representative's constituents are randomly and independently sampled. Assuming the paper's
claim is correct, find the probability that more than eight but fewer than 12 of the 20 constituents sampled believe
their representative possesses low ethical standards. Round to six decimal places.
A. 0.273335
B. 0.734089
C. 0.417890
D. 0.646919
Answer:
Probability that more than eight but fewer than 12 of the 20 constituents sampled believe their representative possesses low ethical standards is 0.417890.
Step-by-step explanation:
We are given that the paper claims that 43% of all constituents believe their representative possesses low ethical standards.
Suppose 20 of a representative's constituents are randomly and independently sampled.
The above situation can be represented through binomial distribution;
[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.....[/tex]
where, n = number of trials (samples) taken = 20 constituents
r = number of success = more than eight but fewer than 12
p = probability of success which in our question is probability that
all constituents believe their representative possesses low
ethical standards, i.e; p = 43%
Let X = Number of constituents who believe their representative possesses low ethical standards
So, X ~ Binom(n = 20 , p = 0.43)
Now, Probability that more than eight but fewer than 12 of the 20 constituents sampled believe their representative possesses low ethical standards is given by = P(8 < X < 12)
P(8 < X < 12) = P(X = 9) + P(X = 10) + P(X = 11)
= [tex]\binom{20}{9} \times 0.43^{9} \times (1-0.43)^{20-9}+ \binom{20}{10} \times 0.43^{10} \times (1-0.43)^{20-10}+\binom{20}{11} \times 0.43^{11} \times (1-0.43)^{20-11}[/tex]
= [tex]167960 \times 0.43^{9} \times 0.57^{11}+ 184756 \times 0.43^{10} \times 0.57^{10}+167960 \times 0.43^{11} \times 0.57^{9}[/tex]
= 0.417890
Hence, the required probability is 0.417890.
The probability that more than eight but fewer than 12 of the 20 constituents sampled believe their representative possesses low ethical standards is; C. 0.417890
How to calculate binomial probabilities?
We are given;
proportion; p = 43% = 0.43
sample size; n = 20
P(X = x) = ⁿCₓ * pˣ * (1 - p)ⁿ ⁻ ˣ
Thus the probability that more than eight but fewer than 12 of the 20 constituents sampled believe their representative possesses low ethical standards is;
P(8 < X < 12) = P(X = 9) + P(X = 10) + P(X = 11)
From online binomial probability calculator, we have;
P(8 < X < 12) = 0.17419889 + 0.14455452 + 0.09913627
P(8 < X < 12) = 0.417890
Read more about binomial probability at; https://brainly.com/question/15246027
The diagram shows a logo made from three circles
Answer:
3cm+2cm+5cm=10cm
%=100
10*10=100
2cm*10=20%
Step-by-step explanation:
the shaded area is width of 2 2/10 or 20/100
Answer:
33%
Step-by-step explanation:
for if u want to do it 4cm then
4+3+3=10
100π cm^2
49π cm^2
16π cm^2
49π - 16π = 33π
33/100 =33%
What is the value of a in the equation below? 2a + 3 = 4a + 5
Please show work :)
Solve the system of equations.
y = 2x
y = –x + 6
X=
Y=
Answer:
x=2 y=4
Step-by-step explanation:
y = 2x
y = –x + 6
Set the two equations equal to each other
2x = -x+6
Add x to each side
2x+x =-x+x+6
3x = 6
Divide each side by 3
3x/3 = 6/3
x =2
Now find y
y = 2x
y =2(2)
y = 4
a semitruck has 18 wheels. the semitruck has 3 times as many wheels than a garbage truck.how many wheels does a garbage truck have? need by 11;00 am
Answer:
The answer is the garbage truck had 6 wheels
Step-by-step explanation:
Since the semitruck has 18 wheels and the semitruck had 3 times more wheels than a garbage truck all you would have to do is divide 18 by 3 and you will get 6 as your answer.
Hope this helps, its my first time answering.
x^2 + (y-7)=16 what is the radius and what’s the center
Answer:
Rewrite in standard form to find the center
( h , k ) and radius r .
Center: ( 0 , 2 ) Radius: 4
Step-by-step explanation:
Answer:
Rewrite in standard form to find the center
( h , k ) and radius r .
Center: ( 0 , 2 ) Radius: 4
Lol hope this helps
Step-by-step explanation:
What is the answers?
Answer:
[tex]\frac{(x + 1)}{(x + 3)}[/tex]
Step-by-step explanation:
If you ignore the 7x for the moment, you can see that the numerator can be factored into (x-5)(x+1), and the denominator can factored into (x-5)(x+3).
The (x+5)s can cancel out, so you are left with [tex]\frac{(x+1)}{(x+3)}[/tex] times [tex]\frac{7x}{7x}[/tex]. Since 7x/7x is just equal to 1, our final answer is (x+1)/(x+3).
Hope this helped! :)
If a shirt costs $40 and the amount of tax collected was $2 what is the sales tax rate?
Answer:
5%
Step-by-step explanation:
To find the tax, we take the price times the tax rate
2 = 40* rate
Divide each side by 40
2/40 =rate
.05 = rate
Changing to percent form
5% = rate
Answer:
tax rate = 2 / 40 = 1 /20 = 0.05 *100 = 5%
Step-by-step explanation:
Use distributive property to write an expression that is equivalent to each expression. -8(-x-3/4y+7/2
Answer:
8x +6y -28
Step-by-step explanation:
The outside factor applies to each inside term, so the equivalent expression is ...
-8(-x -3/4y +7/2) = 8x +6y -28
Applying the distributive property once again, we can also write the equivalent expression ...
= 2(4x +3y -14)
__
There are an infinite number of other equivalent expressions. The problem statement is non-specific as to the acceptable form.
A triangle is a parallelogram with all sides the same length.
Answer:
False
Step-by-step explanation:
Paul owns a mobile wood-fired pizza oven operation. A couple of his clients complained about his dough at a recent catering, so he changed his dough to a newer product. Using the old dough, there were 6 complaints out of 385 pizzas. With the new dough, there were 16 complaints out of 340 pizzas. Let p 1 be the proportion of customer complaints with the old dough and p 2 be the proportion of customer complaints with the new dough. State the competing hypotheses to determine if the proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough g
Answer:
[tex]z=\frac{0.0156-0.0471}{\sqrt{0.0303(1-0.0303)(\frac{1}{385}+\frac{1}{340})}}=-2.469[/tex]
Now we can calculate the p value with this probability:
[tex]p_v =P(Z<-2.469)= 0.0068[/tex]
Since the p value is a very low value and using any significance level 5% or 10% we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough.
Step-by-step explanation:
Information provided
[tex]X_{1}=6[/tex] represent the complaints with the old dough
[tex]X_{2}=16[/tex] represent the complaints with the new dough
[tex]n_{1}=385[/tex] sample 1 selected
[tex]n_{2}=340[/tex] sample 2 selected
[tex]p_{1}=\frac{6}{385}=0.0156[/tex] represent the proportion of complaints with the old dough
[tex]p_{2}=\frac{16}{340}=0.0471[/tex] represent the proportion of complaints with the new dough
[tex]\hat p[/tex] represent the pooled estimate of p
z would represent the statistic
[tex]p_v[/tex] represent the value
Hypothesis to test
We want to verify if the proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough, the system of hypothesis would be:
Null hypothesis:[tex]p_{1} \geq p_{2}[/tex]
Alternative hypothesis:[tex]p_{1} < p_{2}[/tex]
The statitsic is given by:
[tex]z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}[/tex] (1)
Where [tex]\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{6+16}{385+340}=0.0303[/tex]
Replacing the info provided we got:
[tex]z=\frac{0.0156-0.0471}{\sqrt{0.0303(1-0.0303)(\frac{1}{385}+\frac{1}{340})}}=-2.469[/tex]
Now we can calculate the p value with this probability:
[tex]p_v =P(Z<-2.469)= 0.0068[/tex]
Since the p value is a very low value and using any significance level 5% or 10% we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough.
Mariska was comparing her options for investment. One choice she was looking at showed that her principal of $1,875 over 10 years would
earn $1,125 in interest giving her a total of $3,000 at the end of the investment period. What interest rate is being used to calculate this
Investment?
After seeing countless commercials claiming one can get cheaper car insurance from an online company, a local insurance agent was concerned that he might lose some customers. To investigate, he randomly selected profiles for 10 of his clients and checked online price quotes for their policies. Then, based on paired data on the 10 clients (the price he offered them and the corresponding online quote) and using Excel’s t-test for paired data, he obtained t-statistic = 0.709 p-value = 0.248 Note that the above is based on the difference between his price and online quotes.
What are the null and alternative hypotheses, respectively?
Answer:
Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_d[/tex] = 0
Alternate Hypothesis, [tex]\mu_d\neq[/tex] 0
Step-by-step explanation:
We are given that a local insurance agent randomly selected profiles for 10 of his clients and checked online price quotes for their policies.
Then, based on paired data on the 10 clients (the price he offered them and the corresponding online quote), he obtained t-statistic = 0.709 p-value = 0.248.
Here , we will use the concept of Paired data test statistics because the prices that the local insurance agent offered and the corresponding online quotes are from the same single data. These information has not been taken from the two independent samples.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_d[/tex] = 0
Alternate Hypothesis, [tex]\mu_d\neq[/tex] 0
Here, null hypothesis states that there is no difference between the price he offered them and the corresponding online quote.
On the other hand, alternate hypothesis states that there is difference between the price he offered them and the corresponding online quote.
Hence, this would be the correct null and alternative hypothesis.
The triangles are congruent by SSS or HL
Answer:
True? What are you asking
Step-by-step explanation:
But yes triangles are congruent by either of those
Answer:
you're not really asking anything, or is this a true/false statement
Step-by-step explanation:
Which ordered pair (x,y) is a solution to the following?
y = 2x + 5
O(-2,1)
O(2,7)
O(1,6)
O(-3,11)
Answer:
(-2,1)
Step-by-step explanation:
what is the domain of f/g given f(x) = x+4 and g(x) = x-1
Answer: the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): x ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.
Step-by-step explanation:
since f(x) = x + 4 and g(x) = x - 1
then f/g = x + 4/x - 1
the denominator of a function cannot be zero since a fraction with a denominator of zero is undefined.
∴ x - 1 ≠ 0
the value of x when g(x) = 0 is
x - 1 = 0
x = 1
∴ x ≠ 1
Therefore the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): x ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.
The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to make a profit of $1220.
Did you ever figure this out. I need the answer for a test.
Given the set of integers one through 12 what is the probability choosing an odd number or a number greater than nine
Answer:
1/4
Step-by-step explanation:
the numbers greater than nine are: 10,11,12
1,3,5,7,9
So that is nine numbers
9/12 can be simplified to 3/4 if you divide by 3
if you like my answer please give me the brainliest. I'm trying to boost my rank and I'm really close
Write an exponential model given the two points (6,120) and (7,230)
Answer:
hhhhhhh
Step-by-step explanation:
Answer:
f(x) = 120(23/12)^(x-6)
Step-by-step explanation:
One way to write the model is ...
f(x) = f(x1)·(f(x2)/f(x1))^((x -x1)/(x2-x1))
Filling in the given numbers, this is ...
f(x) = 120·(230/120)^((x-6)/(7-6))
f(x) = 120(23/12)^(x-6)
__
Comment on this model
This could be written in the form ...
f(x) = a·e^(bx)
but the constants "a" and "b" would be approximations to their irrational values. We have elected to write the model with exact values in a form that reproduces the given two points exactly.
Jonathan borrowed $475 at a simple annual interest rate of 2%. How many years will it take him to repay the loan if he wants to pay $38 in interest?
Answer:
Ummmm 2 I think
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
ashley spent $7.14 at one store and $5,24 at another store. how much money did she spend total at the two stores?
Answer:
$12.38
Step-by-step explanation:
What’s the correct answer for this?
Answer:
AB=21 miles
Step-by-step explanation:
Since it's a right angles triangle, we'll use Pythagoras theorem
HYPOTENUSE ²= base² + perpendicular ²
Where hyp=AB, base=16 and perp=13
AB²=16²+13²
AB²=256+169
AB²=425
Taking sq root.
AB=20.6 miles
AB≈21 miles
Alexis bought a pyramid-like paperweight for her teacher. The paperweight has a volume of 200 cm3 and a density of 1.5 grams per cubic centimeter.
What formula you would you use to find the density of the paperweight?
How much does the paperweight weigh?
Answer:
The density is equal to the weight divided by the volume:
[tex]\rho=\dfrac{W}{V}[/tex]
The paperweight weights 300 grams.
Step-by-step explanation:
The density of the paperweight can be calculated knowing the weight and the volume of this paperweight.
The density is equal to the weight divided by the volume:
[tex]\rho=\dfrac{W}{V}[/tex]
We know that the density of this paperweight is 1.5 grams per cm3, and its volume is 200 cm3.
We can use the formula of the density to calculate the weight:
[tex]\rho=\dfrac{W}{V}\\\\\\W=\rho\cdot V=1.5\;\dfrac{g}{cm^3}\,\cdot\;200\; cm^3\\\\\\W=300\;g[/tex]
The paperweight weights 300 grams.
Carla Ridley is a high school algebra teacher. Her annual salary is $38,625.00. If she receives a pay check every month of the year, what is her monthly salary?
Answer:
3218.75 a month
Step-by-step explanation:
There are 5 slices of pepperoni pizza, 1 slice of sausage pizzá, and 3 slices of cheese pizza left at the pizza party. Without looking, Amy took a slice of pizza, ate it, and then took another slice. What is the probability of Amy eating two slices of cheese pizza?
Answer:
3/8
Step-by-step explanation:
add 5+1+3=9
and there is 3 cheese pizza so its 3 over 8.
Answer:
3/9
Step-by-step explanation:
a. Using the pairs of values for all 10 points, find the equation of the regression line. b. After removing the point with coordinates (2 comma 2 ), use the pairs of values for the remaining 9 points and find the equation of the regression line. c. Compare the results from parts (a) and (b). 0 2 4 6 8 10 0 2 4 6 8 10 x y A scatterplot has a horizontal x-scale from 0 to 10 in increments of 1 and vertical y-scale from 0 to 10 in increments of 1. Ten points are plotted with nine points, (5, 5), (6, 5), (7, 5), (5, 6), (6, 6), (6, 6), (7, 6), (5, 7), (6, 7), and (7, 7), forming a square and the tenth point (2, 2) being below and to the left of the square. a. What is the equation of the regression line for all 10 points? ModifyingAbove y with caretequals 1.647plus 0.706x (Round to three decimal places as needed.) b. What is the equation of the regression line for the set of 9 points? ModifyingAbove y with caretequals 6 (Round to three decimal places as needed.) c. Choose the correct description of the results below. A. The removal of the point has a significant impact on the regression line. B. The regression line changes, but the change is small. C. There is no regression line for the second case because the data are in a pattern. D. The regression line is very similar in both cases.
Answer:B. The regression line changes, but the change is small. C. There is no regression line for the second case because the data are in a pattern. D. The regression line is very similar in both cases.
Step-by-step explanation:
Th The radius of a circle is 7 feet what is the circles?Use 3.14 for pie?
Please help due in 30 min!!!!!!
100 points
Answer:
43.96
Step-by-step explanation:
ok so you use the formula: A= 3.14•r•2 next you plug in your values a=3.14•7•2 3.14•7= 28.98•2=43.96
Answer:
43.96
im dying on the question before that one it says "What issues are you having when it comes to area and circumference" you typed nothing really and here you are asking us whats the circles area lol
Step-by-step explanation:
What is the area of the rhombus 10in and 5in
Answer:25 in^2
Step-by-step explanation:
d1=10 d2=5
area of rhombus=( d1 x d2)/2
Area of rhombus=(10x5)/2
area of rhombus=50/2
Area of rhombus=25 in^2
You ordered some eatables. If c represents
the cost of one cookie and p is the cost of one
pizza. Write an expression for the total cost
of 14 cookies and 10 pizzas.
I
Answer:
Total Cost = 14c + 10p
Step-by-step explanation:
Answer:
14c+10p= the total cost
Help!.!.!.!.!.!.!.!.!.!.!.!.!.!!.!.!.!.!.!.!.!.!.!.
Answer:
~ 0.375 centimeters of the snowflake in real life ~
Step-by-step explanation:
Let us plan out our steps, and solve for each:
1. Given the information, let us create a proportionality as such:
48 = 1 ⇒ x - centimeters of the snowflake in real life
18 x
2. Now let us cross multiply, and solve through simple algebra for x:
48 * x = 18,
x = 0.375 centimeters of the snowflake in real ife
