Answer:
A
Step-by-step explanation:
Took the test
The annual geography contest at Keller High School was held last week. The freshman socialstudies teacher handed out study packets a few weeks before the contest and asked all of herstudents to participate. After the contest, the teacher asked the students to report thenumber of hours they spent studying, x, and their score, y. Then, she calculated theregression line for the data:y = 7.1x + 11.3What does the value 11.3 in the equation of the regression line predict?
for y = 7.1x + 11.3
The score of a student who spends no time in studying
Because for zero hours, i,e when x = 0 hours, the student spends no time studying.
Substitute x = 0 in the equation
y = 7.1(0) + 11.3
y = 0 + 11.3
y = 11.3
Final answer
Option A: The score of a student who spends no time studying
HELP HELP PLSSSSSSSSS
Answer:
9) c) 1
10) c) 215
Step-by-step explanation:
Step:1
Given that the expression
\(\frac{31+r}{2} - \frac{9r-5}{4}\)
Put r = 9
= \(\frac{31+9}{2} - \frac{9(9)-5}{4}\)
= \(\frac{40}{2} -\frac{76}{4}\)
= 20 - 19
=1
Step(ii):-
Given that
\(\frac{5(4r-16)}{5} +13(3r-12)\)
Put r = 9
= \(\frac{5(4(9)-16)}{5} +13(3(9)-12)\)
= 20 + 13(15)
= 215
A university is interested in determining the average statistics anxiety score for all undergraduate students in the U.S. For a random sample of 33 undergraduate students, it is found that the average average statistics anxiety score is 39.4 with a standard deviation of 0.9. Assume that the statistics anxiety scores for all undergraduate students in the U.S is normally distributed. A 98% confidence interval for the true mean statistics anxiety score μ is closest to.
The 98% confidence interval for the true mean statistics anxiety score (μ) is approximately (39.037, 39.763).
To calculate the 98% confidence interval for the true mean statistics anxiety score (μ) for all undergraduate students in the U.S., we can use the formula:
Confidence interval = sample mean ± (critical value * standard error)
First, we need to find the critical value associated with a 98% confidence level. Since we are assuming a normal distribution, we can use the Z-table or a statistical software to find this value. For a 98% confidence level, the critical value is approximately 2.33.
Next, we calculate the standard error (SE) using the formula:
SE = standard deviation / √sample size
In this case, the standard deviation is 0.9 and the sample size is 33. Plugging these values into the formula, we get: SE = 0.9 / √33 ≈ 0.156
Now, we can calculate the confidence interval:Confidence interval = 39.4 ± (2.33 * 0.156)
Simplifying the expression:Confidence interval ≈ 39.4 ± 0.363
This gives us the interval (39.037, 39.763). This means we are 98% confident that the true mean statistics anxiety score for all undergraduate students in the U.S. falls within this interval.
for more search question interval
https://brainly.com/question/20309162
#SPJ8
HELPPPPPPPPPPP. please explain how u got the answer
Step-by-step explanation:
the key is x = 0.
also I see in the first table no "run-away" effect of some values, so my first suspicion is : it is linear.
let's test it.
a linear function is a line :
y = ax + b
remember, x = 0 is a key element.
y = a×0 + b
-3 = a×0 + b
-3 = b
so, we know, the line function is
y = ax - 3
now, for the a. let's use the next xy pair (1, 1).
1 = a×1 - 3
4 = a
aha ! our line function is therefore
y = 4x - 3
verify with the next 2 points (2, 5) and (3, 9)
5 = 4×2 - 3 = 5 correct
9 = 4×3 - 3 = 9 correct
linear type and equation confirmed.
the second table :
yes, we see relatively big y values compared to the x values.
and the y values follow the powers of 2
so it seems to to be exponential.
64 = 2⁶
32 = 2⁵
16 = 2⁴
8 = 2³
so, while x increases, the powers of 2 decrease. so, we must build something like y = 2^x, but it must run contrary to the increase in x.
the old trick : c-x.
again, x= 0 is key. when x = 0 we get the biggest y (64). that means that gives us c.
64 = 2^(c-x) = 2^(c-0) = 2^c = 2⁶
=> c = 6
so, we suspect the exponential function
y = 2^(6-x)
let's verify with the other points
(1, 32)
32 = 2^(6-1) = 2^(5) = 32 correct
(2, 16)
16 = 2^(6-2) = 2^(4) = 16 correct
(3, 8)
8 = 2^(6-3) = 2^(3) = 8 correct
so, yes, it is the exponential function
y = 2^(6-x)
Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos were given: 10, 13, 15, 15, 17, 29 What is the average amount of likes each of her photos got? Hint: The average is your mean. 22 15 15.5 16.5
The average number of likes will be 16.5. the correct option is D.
What is a mean?Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.
Given that Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos was given: 10, 13, 15, 15, 17, 29.
The average will be calculated as:-
Mean = ( 10 + 13 + 15 + 15 + 17 + 29 ) / 6
Mean = 99 / 6
Mean = 16.5
Therefore, the average number of likes will be 16.5. the correct option is D.
To know more about mean follow
https://brainly.com/question/968894
#SPJ1
Show that each conditional statement in Exercise 11 is a tautology by applying a chain of logical identities as in Example 8. (Do not use truth tables.) a) (PA) P b) p (pv) c) p + ( pa) d) (p) - () e) (P+) - P f) (p)
a) (PA) P is a tautology because P is logically equivalent to P v F, and P v F is logically equivalent to P.
b) p (pv) is a tautology because p is logically equivalent to p v T, and p v T is logically equivalent to p.
c) p + ( pa) is a tautology because p is logically equivalent to p v F, and p v F is logically equivalent to p v (p v A).
d) (p) - () is a tautology because p is logically equivalent to p v T, and p v T is logically equivalent to p v F.
e) (P+) - P is a tautology because P+ is logically equivalent to P v T, and P v T is logically equivalent to P.
f) (p) is a tautology because p is logically equivalent to p v F, and p v F is logically equivalent to p.
Learn more about logically equivalent here:
https://brainly.com/question/17363213
#SPJ4
what is 78897039730932-48940989038902+9480234
Answer:
29956160172264
Step-by-step explanation:
I think this is the answer But i'm not sure tell me if its wrong
Answer:
The answer is
→ 2.995606e+13 or 29,956,160,172,264
Step-by-step explanation:
78,897,039,730,932 - 48,940,989,038,902 = 2.9956051e+13
2.9956051e+13 + 9,480,234 = 29,956,160,172,264 or 2.995606e+13
Hope this helped! (ノ◕ヮ◕)ノ* :・゚✧ ✧゚・: *ヽ(◕ヮ◕ヽ)
- ✨7272033Alt✨
Premises:
If I'm a student, then I go to school. If I go to school, then I learn.
Conclusion:
If I'm a student, then I learn.
This is an example of the Law of
?
Answer:
it's wh question I think
16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
to know more about unitary method
https://brainly.com/question/28276953
Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
- Suppose y varies directly as x. If y = -7 when x = -14, find y when x=3
Answer:1.5
Step-by-step explanation:
Y=1/2 of x
Rachelle bought x pounds of fruit for
$2 per pound and a gallon of milk for
$3.79. She spent a total of $17.29. Write
an equation that can be used to find
how many pounds of fruit she bought.
Step-by-step explanation:
step 1. 2x + 3.79 = 17.29. this is the answer.
In a swimming competition, Peter swam 600m and Gabriel swam 2km .What is the ratio of Peter’s distance to Gabriel’s? Give your answer in its simplest form. b. Express the ratio 20cm to 15m in the form 1: n c. Express the ration 60 cm to 20 m in the form 1 : n
Answer:
2\6 is the ratio
Step-by-step explanation:
brainliest pls
step by step explenation
thank you
Which of the following points are on the line given by the equation y= 1/2x ?
Check all that apply.
D A. (-2,-1)
DB. (-2,1)
| C. (3,6)
D. (3, 15)
D E. (2.1)
D F. (4,2)
Answer:
(-2,-1), (2,1), (4,2)
Step-by-step explanation:
This is how I did it: (took me like a minute)
Draw a graph or get graph paper. You could also probably find a graph online that you can write on. (remember to label)
Now mark two points of the line. So for this question you could use (0,0) and (2,1).
Now draw a line connecting both points.
Finally you can check whether the points are on the line or are not.
Hope this helps!
Get it right please.
A zoologist recorded the speed of two cheetahs. Cheetah A ran 17 miles in 8 minutes. Cheetah B ran 56 miles in 20 minutes. Which statement is correct?
Cheetah A has a higher ratio of miles per minute than Cheetah B because 17 over 8 is less than 56 over 20.
Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is greater than 56 over 20.
Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20.
Both cheetahs have the same ratio of miles per minute.
The answer would be C - "Cheetah B has a higher ratio of miles per minute than Cheetah A because 17 over 8 is less than 56 over 20."
also "get it right please" ?! how rude
B. Identify what kind of angle with the given measure are the following:
1. 470
2.1600
3.890
4.100
5.910
Answer:
I think 1600 mark me as brainlist
Question Below.
Answers: 250|253|254|255|307|433|434|435|507|.
First to answer this question the quickest is rewarded branliest + 100 points
Answer:
Minimum--> 250
Q1--> 255
Q2--> (Median): 307
Q3--> 433
Maximum-->507
Step-by-step explanation:
To find the five-number summary of this data set, we need to determine the minimum value, maximum value, and three quartiles (Q1, Q2, Q3) which divide the data into four equal parts.
First, we need to sort the data set in ascending order:
{ 250, 253, 255, 267, 307, 425, 433, 435, 507 }
Minimum: 250
Maximum: 507
To find the quartiles, we need to find the median of the entire data set (Q2) and then the medians of the two halves of the data set, which will give us Q1 and Q3.
Q2 (Median): The median of the entire data set can be found by averaging the two middle numbers.
Q1: The median of the lower half of the data set is 255, which is the middle value of { 250, 253, 255, 267, 307 }. Therefore, Q1 = 255.
Q3: The median of the upper half of the data set is 433, which is the middle value of { 425, 433, 435, 507 }. Therefore, Q3 = 433.
Skylar went shopping for a new video game. To find the total plus tax, she multiplied the price of the video game by 1.0775. What percent tax did she pay?
Answer:A topic sentence is used to bring
to a paragraph.
Step-by-step explanation:
A topic sentence is used to bring
to a paragraph.
Choose all that apply when describing R^2. (Select all that apply.) Is used to determine the fit of a model. Can be inflated by adding more variables. Only describes the relationship between quantitative variables. Represents the percent of variability in y that can be explained by the model. Is only used in multiple linear regression. In simple linear regression, it is equal to the correlation coefficient r^2. Referred to as the coefficient of determination or coefficient of multiple determination. Can be inflated by removing variables.
The following statements are correct,
a.) Is used to determine the fit of a model.
b.) Can be inflated by adding more variables.
c.) Referred to as the coefficient of determination
d.) Represents the percent of variability in y that can be explained by the model.
e.) In simple linear regression, it is equal to the correlation coefficient r².
Define Regression Analysis
Regression analysis is a set of statistical processes for estimating the relationships between a dependent variable and one or more independent variables.
R² ≡ 1 - SS(res) / SS(tot)
SS(res) + SS(reg) = SS(tot)
R² = SS(reg) / SS(tot) = (SS(reg)/n) / ( SS(tot)/n )
Where,
The total sum of squares(proportional to the variance of the data),SS(tot) = ∑ (y - y(bar) )₂
The regression sum of squares, also called the explained sum of squares,SS(reg) = ∑ (f(i) - y(bar) )²
The sum of squares of residuals, also called the residual sum of squares,SS(res) = ∑ (y(i) - f(i) )² = ∑e²(i)
To read more about Regression Analysis.
https://brainly.com/question/7781679
#SPJ4
The width of a rectangle measures (4.4d - 4.3) centimeters, and its length
measures (7.60 +4.7) centimeters. Which expression represents the perimeter, in
centimeters, of the rectangle?
Answer:
p = 8.8d + 16
Step-by-step explanation:
P=2(l+w)
p = 2((4.4d - 4.3) + (7.60 +4.7))
p = 8.8d + 16
Hello,Can you help me with question 1: Evaluate the given binomial coefficient
Solution:
Given the expression below
\((^8_3)\)Applying the combination formula below
\(^nC_r=\frac{n!}{r!(n-1)!}\)The binomial coefficient will be
\(=\frac{8!}{3!(8-3)!}=\frac{8!}{3!5!}=\frac{8\times7\times6\times5\times4\times3\times2\times1}{3\times2\times1\times5\times4\times3\times2\times1}=56\)Hence, the answer is 56
A team of 28 divers set a record by diving 190.4 miles under water. What is the mean distance dived by each diver?
Answer:
6.8 miles
Step-by-step explanation:
We can apply the formula :
⇒ Mean distance per diver = Total distance covered / No. of divers
=============================================================
Given :
⇒ Number of divers = 28
⇒ Total distance travelled = 190.4 miles
===========================================================
Solving :
⇒ Mean distance = 190.4 miles / 28
⇒ Mean distance = 6.8 miles
write ____ as a single power of 5
Answer:
\(5^{14/5}\)
Step-by-step explanation:
\(\frac{5^3}{5^{1/5}} \\ \\ 5^{3-\frac{1}{5}} \\ \\ =5^{14/5}\)
Drag the numbers shown to their
approximate locations on the
number line
Answer:
Step-by-step explanation:
can someone please help
Answer:
The measure of CD is 46
Step-by-step explanation:
From the midpoint theorem, we have,
FG = (1/2)CD
so,
\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)
Now,
\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)
5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
In triangle ABC, M is the midpoint of AB. Let D be the point on BC such that AD bisects angle BAC, and let the perpendicular bisector of AB intersect AD at E. If AB = 44, AC = 30, and ME = 10, then find the area of triangle ACE.
Help Please!
The area of Triangle ACE from the given diagram is; 150 sq.units
What is the area of the triangle?We are given;
AB = 44
AC = 30
ME = 10
Now, to find the area of triangle ACE, we need to know the length KE where K is the midpoint of AC.
Now, since AD bisects angle BAC. This means that ∠KEA = ∠MEA.
By ASA Congruence Postulate, we can say that; ΔAEK ≅ AEM
Thus, we can say that KE = ME = 10
Formula for area of triangle is;
A = ¹/₂ * base * height
where;
base = AC = 30
Height = KE = 10
Thus;
A = ¹/₂ * 30 * 10
A = 150
Read more about area of the triangle at; https://brainly.com/question/17335144
Find an equation of the line
Through (-3,-7); parallel to 2x + 3y = 5
Answer:
2x +3y = -27
Step-by-step explanation:
You want an equation for a line parallel to 2x +3y = 5 and through the point (-3, -7).
Parallel lineA parallel line will have the same slope as the given line, but will have different intercepts. In the standard-form equation given, that means the coefficients of the variables will be the same, but the constant will be different.
To make the constant appropriate for the given point, we use the (x, y) values of the given point to find it:
2x +3y = c
2(-3) +3(-7) = c = -6 -21 = -27
The desired equation is ...
2x +3y = -27
You are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.
From a random sample of 74 dates, the mean record high daily temperature in a certain city has a mean of 85.22 degrees F. Assume the population standard deviation is 13.97 degrees F.
Answer:
Very confused! at 95% confidence level, the true population mean will be between 134.33 and 145.67.
Step-by-step explanation:
A random sample of 45 home theater systems has a mean price of $140.00
Assume the population standard deviation is $19.40
population standard deviation is 19.40
sample size is 45.
standard error of the sample mean is 19.40 / sqrt(45) = 2.89198
at 90% confidence level, critical z is plus or minus 1.645.
at 95% confidence level, critical z is plus or minus 1.96.
critical raw score will be sample mean plus or minus critical z-score * standard error of the mean.
your sample mean is 140.
your standard error of the mean is 2.89198
at 90% confidence level, your critical raw score will be 140 plus or minus 1.645 * 2.89198.
that becomes 140 plus or minus 4.76 rounded to the nearest penny.
at 90% confidence level, the true population mean will be between 135.24 and 144.76.
at 95% confidence level, your critical raw score will be 140 plus or minus 1.96 * 2.89198.
that becomes 140 plus or minus 5.67 rounded to the nearest penny.
Using the z-distribution, it is found that:
The 90% confidence interval for the population mean is (82.55, 87.89). It means that we are 90% sure that the true population mean is between these two values.The 95% confidence interval for the population mean is (82.04, 88.40). It means that we are 95% sure that the true population mean is between these two values.The higher the confidence level, the higher the critical value is, and thus, a higher confidence level leads to a wider interval.We are given the standard deviation for the population, and thus, the z-distribution is used.
The information is:
Sample mean of \(\overline{x} = 85.22\).Population standard deviation of \(\sigma = 13.97\).Sample size of 74, thus \(n = 74\).A z-confidence interval is given by:
\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)
We have to find the critical value, which is z with a p-value of \(\frac{1 + \alpha}{2}\), in which \(\alpha\) is the confidence level.
For the 90% confidence interval, \(\alpha = 0.9\), thus, z with a p-value of \(\frac{1 + 0.9}{2} = 0.95\), which means that it is z = 1.645.
Then, the 90% confidence interval is:
\(\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.22 - 1.645\frac{13.97}{\sqrt{74}} = 82.55\)
\(\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.22 + 1.645\frac{13.97}{\sqrt{74}} = 87.89\)
The 90% confidence interval for the population mean is (82.55, 87.89). It means that we are 90% sure that the true population mean is between these two values.
For the 95% confidence interval, \(\alpha = 0.95\), thus, z with a p-value of \(\frac{1 + 0.95}{2} = 0.975\), which means that it is z = 1.96.
Then, the 95% confidence interval is:
\(\overline{x} - z\frac{\sigma}{\sqrt{n}} = 85.22 - 1.96\frac{13.97}{\sqrt{74}} = 82.04\)
\(\overline{x} + z\frac{\sigma}{\sqrt{n}} = 85.22 + 1.96\frac{13.97}{\sqrt{74}} = 88.40\)
The 95% confidence interval for the population mean is (82.04, 88.40). It means that we are 95% sure that the true population mean is between these two values.
The higher the confidence level, the higher the critical value is, and thus, a higher confidence level leads to a wider interval.
A similar problem is given at https://brainly.com/question/22596713
Please help me ASAP
the answer should be A
Use the present value formula to determine the amount to be invested now, or the present value needed.
The desired accumulated amount is $130,000 after 6 years invested in an account with 7% interest compounded. Round answer to nearest cent.
The amount that needs to be invested now to accumulate $130,000 after 6 years at a 7% interest rate is $83,713.97
What is present value?The Present Value (PV) is an estimation of how much a future cash flow or stream of cash flows is worth right now.
The present value formula is:
PV = FV / (1 + r)^n
Where
PV is the present valueFV is the future valuer is the interest rate n is the number of compounding periodsIn this case, the desired accumulated amount is $130,000, the interest rate is 7%, the compounding period is annually, and the time period is 6 years.
So, plugging in the values, we get:
PV = 130000 / (1 + 0.07)^6
PV = 83713.97
Therefore, the amount that needs to be invested now to accumulate $130,000 after 6 years at a 7% interest rate is $83,713.97, rounded to the nearest cent.
Learn more about present value here :brainly.com/question/12736329
#SPJ1