Answers
Answer:
Third option.
Step-by-step explanation:
The triangles below are similar, because they have congruent corresponding angles.
Angle N is 105 degrees and angle Q is 105 degrees.
Related Questions
helppppppppppppppppppppppppp
Answers
please see the attached picture...
Hope it helps...
Good luck on your assignment.....
Answer:
The answers are
Step-by-step explanation:
7 X -3 = -21
24/ -12= -2
Identify three misconception each of any five topic's in mathematics
Answers
62 = 12.
7 x 0 = 7.
Four hundred and eight is written as 4008.
0.10 = point ten.
0.5 x 10 = 0.50.
6 -:- ½ = 3.
- 5 + 3 = -8.
4% is 0.4 as a decimal.
(X+3)(x+5)
Expand and simplify?
Answers
[tex](x+3)(x+5)[/tex]
[tex]x(x+5)+3(x+5)[/tex]
[tex]x^2+5x+3x+15[/tex]
[tex]\displaystyle x^2+8x+15[/tex]
X^2 + 8x + 15
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.0 millimeters (mm) and a standard deviation of 1.7 mm. For a randomly found shard, find the following probabilities.
a. the thickness is less than 3.0 mm
b. the thickness is more than 7.0 mm
c. the thickness is between 3.0 mm and 7.0 mm
Answers
Answer:
(a) The probability that the thickness is less than 3.0 mm is 0.119.
(b) The probability that the thickness is more than 7.0 mm is 0.119.
(c) The probability that the thickness is between 3.0 mm and 7.0 mm is 0.762.
Step-by-step explanation:
We are given that thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.0 millimeters (mm) and a standard deviation of 1.7 mm.
Let X = thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village.
So, X ~ Normal([tex]\mu=5.0,\sigma^{2} =1.7^{2}[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean thickness = 5.0 mm
[tex]\sigma[/tex] = standard deviation = 1.7 mm
(a) The probability that the thickness is less than 3.0 mm is given by = P(X < 3.0 mm)
P(X < 3.0 mm) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{3.0-5.0}{1.7}[/tex] ) = P(Z < -1.18) = 1 - P(Z [tex]\leq[/tex] 1.18)
= 1 - 0.8810 = 0.119
The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.
(b) The probability that the thickness is more than 7.0 mm is given by = P(X > 7.0 mm)
P(X > 7.0 mm) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{7.0-5.0}{1.7}[/tex] ) = P(Z > 1.18) = 1 - P(Z [tex]\leq[/tex] 1.18)
= 1 - 0.8810 = 0.119
The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.
(c) The probability that the thickness is between 3.0 mm and 7.0 mm is given by = P(3.0 mm < X < 7.0 mm) = P(X < 7.0 mm) - P(X [tex]\leq[/tex] 3.0 mm)
P(X < 7.0 mm) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{7.0-5.0}{1.7}[/tex] ) = P(Z < 1.18) = 0.881
P(X [tex]\leq[/tex] 3.0 mm) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{3.0-5.0}{1.7}[/tex] ) = P(Z [tex]\leq[/tex] -1.18) = 1 - P(Z < 1.18)
= 1 - 0.8810 = 0.119
The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.
Therefore, P(3.0 mm < X < 7.0 mm) = 0.881 - 0.119 = 0.762.
Find an equation of the plane that passes through the point P0(- 3,3,1) with a normal vector n = (1,4, -3). Which of the following equations is an equation of the plane that passes through the point P0( - 3,3,1) with a normal vector n (1,4, -3)?
a. An equation for the plane is -3x+3y + Z = 6.
b. An equation for the plane is x+ 3y +z = 19.
c. An equation for the plane is x + y+ z = 26.
d. An equation for the plane is x +4y - 3z= 6.
Answers
Take an arbitrary vector (x, y, z), which goes from the origin to some point (x, y, z) on the plane we want to find.
Subtract from this vector, the vector that points to [tex]P_0[/tex], which is (-3, 3, 1). This translates the first vector so that it starts at the point [tex]P_0[/tex] and is directed at some point (x, y, z). We get a new translated vector, (x + 3, y - 3, z - 1), which lies in the plane.
The normal vector to the plane is orthogonal to every vector in the plane. So taking the dot product of any vector in the plane with the normal to the plane will always result in 0. We use this to find the plane's equation:
[tex]\vec n\cdot((x,y,z)-P_0)=(1,4,-3)\cdot(x+3,y-3,z-1)=0[/tex]
[tex]\implies(x+3)+4(y-3)-3(z-1)=0[/tex]
[tex]\implies x+4y-3z=6[/tex]
and so the answer is D.
It is advertised that the average braking distance for a small car traveling at 75 miles per hour equals 124 feet. A transportation researcher wants to determine if the statement made in the advertisement is false. She randomly test drives 37 small cars at 75 miles per hour and records the braking distance. The sample average braking distance is computed as 112 feet. Assume that the population standard deviation is 22 feet.
Answers
Answer:
[tex]z=\frac{112-124}{\frac{22}{\sqrt{37}}}=-3.318[/tex]
The p value would be given by this probability:
[tex]p_v =2*P(z<-3.318)=0.0009[/tex]
Since the p value is a very small value at any significance level used we can reject the null hypothesis and we can conclude that the true mean for this case is different from 124 ft
Step-by-step explanation:
Data given and notation
[tex]\bar X=112[/tex] represent the sample mean
[tex]\sigma =22[/tex] represent the population standard deviation
[tex]n=37[/tex] sample size
[tex]\mu_o =124[/tex] represent the value that we want to test
z would represent the statistic (variable of interest)
[tex]p_v[/tex] represent the p value
Hypothesis to test
We want to check the following system of hypothesis:
Null hypothesis: [tex]\mu = 124[/tex]
Alternative hypothesis :[tex]\mu \neq 124[/tex]
The statistic is given by:
[tex]z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]z=\frac{112-124}{\frac{22}{\sqrt{37}}}=-3.318[/tex]
The p value would be given by this probability:
[tex]p_v =2*P(z<-3.318)=0.0009[/tex]
Since the p value is a very small value at any significance level used we can reject the null hypothesis and we can conclude that the true mean for this case is different from 124 ft
In accounting, cost-volume-profit analysis is a useful tool to help managers predict how profit will be affected by changes in prices or sales volume. Net income, NININ, I, is calculated using the formula NI = (SP-VC)(V)-FCNI=(SP−VC)(V)−FCN, I, equals, left parenthesis, S, P, minus, V, C, right parenthesis, left parenthesis, V, right parenthesis, minus, F, C, where SPSPS, P is the sales price, VCVCV, C is the variable cost per unit, VVV is the sales volume, and FCFCF, C are fixed costs. Rearrange the formula to solve for sales volume (V)(V)left parenthesis, V, right parenthesis.
Answers
Answer:
(a)[tex]V=\dfrac{NI+FC}{SP-VC}[/tex]
(b)V=240 Units
Step-by-step explanation:
NI=(SP-VC)V-FC
We are required to make V the subject of the equation
Add FC to both sides
NI+FC=(SP-VC)V-FC+FC
NI+FC=(SP-VC)V
Divide both sides by SP-VC
[tex]V=\dfrac{NI+FC}{SP-VC}[/tex]
When
Net Income(NI)=$5000Sales Price(SP)=$40Variable Cost(VC)=$15Fixed Costs(FC)=$1000Volume of Sales
[tex]V=\dfrac{5000+1000}{40-15}\\=\dfrac{6000}{25}\\\\=240[/tex]
I would really appreciate it if you could help me please
Answers
Answer:
Yes, triangle GYK is similar to triangle BAK.
Step-by-step explanation:
The sides of each triangle are proportional to each other.
Take the longest side of each triangle. You are comparing line AK with line KY.
The proportion is 15/25.
Now, take the shortest side of each triangle. You are comparing line KB with GK.
The proportion is 6/10.
To determine if the triangles are proportional, we can see if the two proportions are equal to each other:
15/20=6/10
3/5=6/10
Correct! 3/5 equals to 6/10. Therefore, the two triangles are similar because their sides are proportional.
Hope this helps :)
Answer:
O Yes!
Step-by-step explanation:
We would check whether the proportionality of their sides is equal
Taking proportionality
= [tex]\frac{6}{10} = \frac{15}{25}[/tex]
Cross Multiplying
6 × 25 = 15 × 10
150 = 150
So, ΔABK is similar to ΔGKY
standard form of line that passes thru (-3,5) and (-2,-6)
Answers
Answer:
11x + y = -28
Step-by-step explanation:
Step 1: Find slope
(6-5)/(-2--3) = -11
Step 2: Find y-intercept
y = -11x + b
5 = -11(-3) + b
5 = 33 + b
b = -28
Step 3: Write in slope-intercept form
y = -11x - 28
Step 4: Convert to standard form
11x + y = 28
And we have our final answer!
match the term with the definition
Answers
Answer:
1 - c
2 - a
3 - e
4 - d
5 - b
Answer: c, a, e, d, b
Step-by-step explanation:
1. Angle: (c) A figure consisting of two rays with the same endpoint.
2. Circle: (a) The set of all points in a plane that are a given distance from a point. That distance is called the radius.
3. Point: (e) A location, has no size.
4. Ray: (d) The portion of a line that starts at one point and goes off to infinity.
5. Vertex: (b) A point where two or more rays or "arms" of an angle meet.
A large department store is curious about what sections of the store make the most sales. The manager has data from ten years prior that show 30% of sales come from Clothing, 25% Home Appliances, 18% Housewares, 13% Cosmetics, 12% Jewelry, and 2% Other. In a random sample of 550 current sales, 188 came from Clothing, 153 Home Appliances, 83 Housewares, 54 Cosmetics, 61 Jewelry, and 11 Other. At α=0.10, can the manager conclude that the distribution of sales among the departments has changed? Enter the p-value - round to 4 decimal places. Make sure you put a 0 in front of the decimal.
Answers
Based on the information given, the null hypothesis will be that there's no difference in the distribution of current sales.
The alternate hypothesis will be that's there's a difference in the distribution of current sales.
Also, it should be noted that the test statistic is 23.0951. The p-value is 0.00003 and the conclusion is that the distribution of sales among the departments has changed.
Learn more about null hypothesis on:
https://brainly.com/question/15980493
The null hypothesis would be that there is no difference in the prevalence of current sales based on the information provided. This alternative hypothesis says there was variance in the distribution of current sales.
It is also worth noting that the test statistic is 23.0951. The p-value is 0.00003, as well as the inference, is that the sales distribution across divisions has altered.Learn more:
brainly.com/question/14578907
Explain the steps you would take to complete this
conversion problem.
46 lb 1kg 1,000 g - 2
2.2 lb
1
1kg
Answers
Answer:
First, you would cancel out the lb in 2.2 lb, and cancel the kg in 1 kg. Then, you cross multiply. 46 x 1 x 1000 is 46000, you're just moving the decimal point. 1 x 2.2 x 1 would stay the same, so you would have 46000 over 2.2.
Step-by-step explanation:
Sample data for the arrival delay times (in minutes) of airlines flights is given below. Determine whether they appear to be from a population with a normal distribution. Assume that this requirement is loose in the sense that the population distribution need not be exactly normal, but it must be a distribution that is roughly bell-shaped Click the icon to view the data set. Is the requirement of a normal distribution satisfied? A. No, because the histogram of the data is not bell shaped, there is more than one outlier, and B. Yes, because the histogram of the data is bell shaped, there are less than two outliers, and the C. Yes, because the histogram of the data is not bell shaped, there is more than one outlier, and D. No, because the histogram of the data is bell shaped, there are less than two outliers, and the the points in the normal quantile plot do not lie reasonably close to a straight line points in the normal quantile plot lie reasonably close to a straight line the points in the normal quantile plot do not lie reasonably close to a straight line points in the normal quantile plot lie reasonably close to a straight line Arrival delay times (minutes) 9 40 - 36 36 105 15- 45 45 27 32 24 5-30 38 2 16 -31 -21-45-30 9837 14 29 50 -44-37 41 - 4-2510 3 -27 6 -38 -26 -25
Answers
Answer:
sdvsdsdfdff
Step-by-step explanation:
Levi would like to use a credit card to make a $3000 purchase. He is considering two credit options. The first requires
a down payment of $1000 followed by monthly payments of $125. The second requires a down payment of $1300
followed by monthly payments of $110. The two options accumulate the same amount of interest and require the
same number of monthly payments.
What is the amount of interest for this loan?
Answers
Answer:
The amount of interest for this loan is 16.6%.
Step-by-step explanation:
Since Levi will make a purchase for $ 3000 with your credit card, you should explore the two options you have:
-On the one hand, a down payment of $ 1000, with fees of $ 125.
-on the other, a down payment of $ 1,300, with fees of $ 110.
In both cases, the fees are the same, and the interest too. Therefore, to determine the amount of installments and interest, the difference between the down payment of one option and the other must be taken and divided by the difference between the value of the installments of either option.
Thus, the difference of the down payment of 300 (1300 - 1000) must be divided by 15 (125 - 110). This yields a result of 20 (300/15), with which that will be the total of quotas until both have paid the same amount of money.
Thus, given that 1300 + 110 x 20 = 3,500, and that 1000 + 125 x 20 = 3,500, in both cases the total value to be paid is $ 3,500. Since 500 is 16.6% of 3000, the total purchase interest will be 16.6%.
The sound level measured in a room by a person watching a movie on a home theater system varies from 60 dB during a quiet part to 100 dB during a loud part. Approximately how many times louder is the latter sound
Answers
Answer:
The sound in a loud part of the room is 10000 times louder than sound in a quiet part of the same place.
Step-by-step explanation:
The acoustic intensity sound is a logarithmic function whose form is:
[tex]L = 10\cdot \log_{10}\left(\frac{I}{I_{o}} \right)[/tex]
Where:
[tex]L[/tex] - Acoustic intensity sound, measured in decibels.
[tex]I_{o}[/tex] - Reference sound intensity, measured in watts per square meter.
[tex]I[/tex] - Real sound intensity, measured in watts per square meter.
Sound intensity is now cleared:
[tex]10^{\frac{L}{10} } = \frac{I}{I_{o}}[/tex]
The ratio of the sound intensity in a loud part to the sound intensity in a quiet part is:
[tex]\frac{I_{100}}{I_{60}} = \frac{10^{\frac{100\,dB}{10} }}{10^{\frac{60\,dB}{10}}}[/tex]
[tex]\frac{I_{100}}{I_{60}} = \left(10^{100\,dB-60\,dB}\right)^{\frac{1}{10} }[/tex]
[tex]\frac{I_{100}}{I_{60}} = (10^{40\,dB})^{\frac{1}{10} }[/tex]
[tex]\frac{I_{100}}{I_{60}} =10^{4}[/tex]
The sound in a loud part of the room is 10000 times louder than sound in a quiet part of the same place.
The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a total of 24 slices. The Wilson family also orders several large pizzas from the same pizza restaurant. They also cut the pizzas so that all their pizzas have the same number of slices. For the Wilson family, the equation y = 10x represents the relationship, where x represents the number of pizzas and y represents the number of total slices. Which statements best describe the pizzas bought by the Hernandez and Wilson families? Select two options. For the Hernandez family, the equation y = 3x represents the relationship between the number of slices and number of pizzas, where x represents the number of pizzas and y represents the number of total slices. For each family, a graph of the relationship between number of pizzas, x, and number of slices, y, goes through the point (0, 0) and is a straight line. The Hernandez family’s slices are smaller than the Wilson family’s slices. If the Wilson family ordered 3 large pizzas from the same restaurant as the Hernandez family, they would have more slices than the Hernandez family after each family cut their pizzas into slices. The constant of proportionality is 10 for the Wilson family, but cannot be determined for the Hernandez family.
Answers
Answer:
B and D
Step-by-step explanation:
edge 2021
The phone company Blurizon has a monthly cellular plan where a customer pays a flat
fee for unlimited voice calls and then a certain amount per GB of data used. If a
customer uses 12 GB, the monthly cost will be $105. If the customer uses 34 GB, the
monthly cost will be $237.
A) Find an equation in the form y = mx + b, where is the number of GB of data
used in a month and y is the total monthly cost of the Blurizon plan.
Answer: y =
B) Use your equation to find the total monthly cost if 14 GB are used.
Answer: If 14 GB are used, the total cost will be____
dollars.
Answers
Answer:
(a)y=6x+33
(b)$117
Step-by-step explanation:
If a customer uses 12 GB, the monthly cost will be $105.
If the customer uses 34 GB, the monthly cost will be $237.
given that
x is the number of GB of data used in a month; and y is the total monthly cost of the Blurizon plan.We have the pairs: (12, 105) and (34, 237)
(A)To determine the straight-line equation, we first determine the slope, m.
[tex]m=\dfrac{237-105}{34-12}\\\\=\dfrac{132}{22}\\\\m=6[/tex]
Substitution into y = mx + b, we have: y=6x+b
Next, we determine the value of b
When y=105, x=12
105=6(12)+b
b=105-6(12)=33
Therefore, an equation in the form y = mx + b is:
y=6x+33
(B)
Total Cost, y=6x+33
When 14 GB are used, i.e. x=14
y=6(14)+33
y=$117
If 14 GB are used, the total cost will be 117 dollars.
Suppose you have a set of requests {1,2,...,n} where the ith request corresponds to an interval of time starting at s(i) and finishing at f(i). How can you choose the largest subset of these requests such that none overlap?
Answers
Answer:
You can choose the largest subset by using ; Earliest finish time first
Step-by-step explanation:
In the set of requests { 1,2,....n} where the ith request corresponds to an interval of time for you to choose the largest subset such that none will overlap is by employing/using EARLIEST FINISH TIME FIRST method.
This is because we will have to sort out the finish times of the set of requests before we can proceed to choosing the largest subset contained in the set of requests.
6• 2hen+3pens-5anchors
Answers
Answer:
[tex]180[/tex]
Step-by-step explanation:
[tex]6 \times 2 \times 3 \times 5[/tex]
[tex]12 \times 15[/tex]
[tex]=180[/tex]
Steps to solve:
6 * 2 + 3 - 5
~Multiply
12 + 3 - 5
~Add
15 - 5
~Subtract
10
Best of Luck!
I have k quarters, five less quarters than nickels and one more than twice as many dimes as quarters. Find the value of the coins in cents in terms of k.
Answers
Answer:
40k + 35 cents
Step-by-step explanation:
Each quarter is worth 25 cents, each nickels is worth 5 cents and each dime is worth 10 cents.
Value of all quarters:
[tex]25k[/tex]
Value of all nickels:
[tex]5*(k+5)\\5k+25[/tex]
Value of all dimes:
[tex]10*(2k+1)\\20k + 10[/tex]
The value of all coins in terms of k is:
[tex]V=25k+5k+25+20k+10\\V= 40k +35\ cents[/tex]
All coins are worth 40k + 35 cents.
Please answer this correctly
Answers
Answer:
9 bags
Step-by-step explanation:
130, 134, 136, 145, 145, 147, 147, 151, 154
9 bags had at least 130 peanuts.
The Toyota Camry is one of the best-selling cars in North America. The cost of a previously owned Camry depends on many factors, including the model year, mileage, and condition. To investigate the relationship between the car’s mileage and the sales price for Camrys, the following data show the mileage and sale price for 19 sales (PriceHub web site, February 24, 2012).Miles(1000s) Price($1,000s) 22 16.2 29 16.0 36 13.8 47 11.5 63 12.5 77 12.9 73 11.2 87 13.0 92 11.8 101 10.8 110 8.3 28 12.5 59 11.1 68 15.0 68 12.2 91 13.0 42 15.6 65 12.7 110 8.3A. Test whether each of the regression parameters b0 and b1 are equal to zero at 0.01 level of significance.B. What are the correct interpretations of the estimated regression parameters?C. Are these interpretations reasonable?
Answers
Answer:
Step-by-step explanation:
Hello!
Given the variables
Y: Cost of a previously owned Camry.
X: Mileage of a previously owned Camry.
Scatter plot in attachment.
As you can see in the scatter plot, the price of the previously owned Camry decreases as their mileage increases this suggest that there is a negative linear regression between these two variables.
Hypothesis test for the y-intercept
H₀: β₀ = 0
H₁: β₀ ≠ 0
Level of significance α: 0.01
p-value < 0.0001
The decision is to reject the null hypothesis. You can conclude that the population mean of the cost of a previously owned Camry, when the mileage is zero, is different from zero.
H₀: β = 0
H₁: β ≠ 0
Level of significance α: 0.01
p-value: 0.0003
The decision is to reject the null hypothesis. You can conclude that the population mean of the cost of a previously owned Camry is modified when the mileage increases in one unit.
26
Ping lives at the corner of 3rd Street and 6th Avenue. Ari
lives at the corner of 21st Street and 18th Avenue. There is
a gym į the distance from Ping's home to Ari's home.
24
22
20
n
Ari (21.18)
7
x =
18
(x2 – x) + x3
mi+n
16
Avenue
14
-- ( , Jive - y) +
12
10
Where is the gym?
00
6
Ping (36)
4
2
9th Street and 10th Avenue
12th Street and 12th Avenue
0 14th Street and 12th Avenue
15th Street and 14th Avenue
2
x
4 6 8 10 12 14 16 18 20 22 24 26
Street
Answers
Corrected Question
Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym 2/3 the distance from Ping's home to Ari's home. Where is the gym?
9th Street and 10th Avenue 12th Street and 12th Avenue 14th Street and 12th Avenue 15th Street and 14th AvenueAnswer:
(D)15th Street and 14th Avenue
Step-by-step explanation:
Ping's Location: (3rd Street, 6th Avenue)
Ari's Location: (21st Street, 18th Avenue)
The gym is at point P which is [tex]\dfrac{2}{3}[/tex] the distance from Ping's home to Ari's home.
That is, Point P divides the line segment in the ratio 2:1.
We use the section formula:
[tex](x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)[/tex]
m:n=2:1, [tex](x_1,y_1)=(3,6), (x_2,y_2)=(21,18)[/tex]
[tex]=\left(\dfrac{2*21+1*2}{2+1}, \dfrac{2*18+1*6}{2+1}\right)\\=\left(\dfrac{45}{3}, \dfrac{42}{3}\right)\\=(15,14)[/tex]
The gym is located at 15th Street and 14th Avenue.
Jiangsu divided 751.6 by 10 by the power of 2 and got a quotient of 0.7516. yesseinafhinks that the quotient should be7.516. Who is correct?
Answers
Answer:
yesseinafhinks
Step-by-step explanation:
Dividing by 10² is also the same thing as multiplying by 10^-2. In that case, we simply move the decimal places only 2 places back. That would give us 7.516, not 0.7516 (which is 3 times, not 2).
Paloma ran 3 /3/4 miles around the school track if each lap is a 1/2 mile how many laps she ran
Answers
Answer:
7.5 laps
Step-by-step explanation:
there are 6 laps for the 3 miles
1/2 mile is 2/4 which makes it 7 laps
1/4 is half of a lap so 7.5
Answer:
7.5 laps
Step-by-step explanation:
there are 6 laps for the 3 miles
1/2 mile is 2/4 which makes it 7 laps
1/4 is half of a lap so 7.5
2 = x-3, then x equals
Answers
Answer:
x = 5
Step-by-step explanation:
2 = x-3
Adding 3 to both sides
2+3 = x
5 = x
OR
x = 5
Answer:
[tex] \times = 2 + 3 \\ \\ x = 5[/tex]
In a large university, 70% of the students live in the dormitories. A random sample of 110 students is selected for a particular study.The probability that the sample proportion of students living in the dormitories falls in between 0.6 and 0.8 equals a.0.9780 b.0.9318 c.0.9365 d.1.6450
Answers
Answer:
The correct option is (a) 0.9780.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
[tex]\mu_{\hat p}=p[/tex]
The standard deviation of this sampling distribution of sample proportion is:
[tex]\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}[/tex]
As the sample selected is quite large, i.e. n = 110 > 30, the central limit theorem can be applied to approximate the sampling distribution of sample proportion by a Normal distribution.
The mean and standard deviation are:
[tex]\mu_{\hat p}=p=0.70\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.70(1-0.70)}{110}}=0.044[/tex]
Compute the probability that the sample proportion of students living in the dormitories falls in between 0.60 and 0.80 as follows:
[tex]P(0.60<\hat p<0.80)=P(\frac{0.60-0.70}{0.044}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.80-0.70}{0.044})[/tex]
[tex]=P(-2.27<Z<2.27)\\\\=P(Z<2.27)-P(Z<-2.27)\\\\=0.98840-0.01160\\\\=0.9768\\\\\approx0.9780[/tex]
*Use a z-table.
Thus, the probability that the sample proportion of students living in the dormitories falls in between 0.60 and 0.80 is approximately equal to 0.9780.
The correct option is (a).
If Rob had average monthly expenses of $940.21 and his expenses in April were $945.50 and his expenses in May were $875.13, what were his expenses in June?
Answers
Answer:
$1000
Step-by-step explanation:
If we assume that the given average applies to April, May, and June expenses, then we can use the formula for average to find June's expenses.
average expenses = (April +May +June)/3
940.21 = (945.50 +875.13 +June)/3
(3)(940.21) = 1820.63 +June
2820.63 -1820.63 = June = 1000.00
Rob's expenses in June were $1000.00.
This applet illustrates 95% confidence intervals for samples from a normal distribution with known variance.
When taking 100 samples of size 30 or greater from a population, exactly 95 of them will create a confidence interval that contains the true population mean.
a. True
b. False
Which statement is the correct interpretation of the confidence interval in this illustration
a. The probability the true mean is between 76.08 and 83.92 is 0.95 or 95%.
b. We are 95% confident that the true mean is between 76.08 and 83.92.
Answers
Answer:
1- b. False
2 b. We are 95% confident that the true mean is between 76.08 and 83.92.
Step-by-step explanation:
Confidence Interval is the estimated value that is computed from the statistic of data which is observed. The range value is plausible for unknown parameters. To find the critical value the confidence interval value is observed through the t-value table.
I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help me! Will mark you as brainiest!
Answers
Answer:
[tex]g(2) = 4(2) + 6 = 14[/tex]
[tex]f(2) = 2(2) + 3 = 7[/tex]
[tex](g - f)(2) = 14 - 7 = 7[/tex]
problem decoded dude
thank and follow meh