Answer:
a
Step-by-step explanation:
Maybe: the SRS condition is OK but we need to look at the data to check Normality.
The normality inference is important in that the null compares the difference in the sample means to the difference that one would expect by random variation, or by chance, alone meaning that the sample is assumed to have being from a normal distribution with a mean and standards deviation.
What is a15 of the sequence −7,2,11,…
?
Step-by-step explanation:
a=-7
d=9
n=15
we have to find a15
a(n)= a+(n-1)d
a(15)= -7+(15-1)9
a(15)= -7+126
a(15)=119
so 15 term of the sequence is 119
The 15th term in the given sequence is 119.
The given sequence is −7,2,11,…
Here, a=-7, d=9
What is the formula to find the nth term of the sequence?The formula to find the nth term of the sequence is [tex]a_{n} =a+(n-1)d[/tex].
Now, [tex]a_{15} =-7+(15-1) \times9=119[/tex].
Therefore, the 15th term in the sequence is 119.
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ABC bank requires a 20% down payment on all its home loans. if the house is priced at $105,000, what is the amount of the down payment required by the bank?
A) $21,000
B) $210,000
C) $14,500
D) $18,000
correct answer is A) $21,000
Answer:
A) $21,000
Step-by-step explanation:
Percentage of down payment that ABC bank requires to be paid = 20%
Price of the house = $10500
Then
Amount of down payment
that needs to be made = (20/100) * 105000
= 21000 dollars
The answer is A) $21,000
20% is 1/5
1/5 of 105,000 is 21,000
Which of the following best describes the English expression the product of 2 and a number minus 11
Answer:
2x-11
Step-by-step explanation:
The product of something means multiplication, and since we are only given one number we can use the variable x to represent it. And minus 11 is obviously subtraction, so we can put together the expression 2x-11.
For a certain salesman, the probability of selling a car today is 0.30. Find the odds in favor of him selling a car today.
Answer:
The odds in favor of him selling a car today are 3 to 10
Step-by-step explanation:
Probability and odds:
Suppose we have a probability p.
The odds are of: 10p to 10
In this question:
Probability of selling a car is 0.3.
10*0.3 = 3
So the odds in favor of him selling a car today are 3 to 10
Evaluate the expression (image provided). A.) 1.5 B.) 6 C.) 6^15 D.) 1.5^6
Answer:
1.5
Step-by-step explanation:
6 to the log base of 6 will be one (they essentially cancel each other out, log is the opposite of exponents) and we are left with 1.5.
Given a right triangle with a hypotenuse length of radical 26 and base length of 3. Find the length of the other leg (which is also the height).
Answer:
√17
Step-by-step explanation:
The Pythagorean theorem can be used for the purpose.
hypotenuse² = base² +height²
(√26)² = 3² +height²
26 -9 = height²
height = √17
The length of the other leg is √17.
A pen in the shape of an isosceles right triangle with legs of length x ft and hypotenuse of length h ft is to be built. If fencing costs $ 2 divided by ft for the legs and $ 4 divided by ft for the hypotenuse, write the total cost C of construction as a function of h.
Answer
(4h/√2)+4h
Explanation:
the side length as a function of h will be needed, so we will compute it first,
Let x be the side length of the right isosceles triangle, then using Pythagorean theorem.
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION
Suppose you pay a dollar to roll two dice. if you roll 5 or a 6 you Get your dollar back +2 more just like it the goal will be to find the amount of money you can expect to win or lose if you play this game 100 times. How many times would you win? how many times would you lose?
Answer:
(a)$67
(b)You are expected to win 56 Times
(c)You are expected to lose 44 Times
Step-by-step explanation:
The sample space for the event of rolling two dice is presented below
[tex](1,1), (2,1), (3,1), (4,1), (5,1), (6,1)\\(1,2), (2,2), (3,2), (4,2), (5,2), (6,2)\\(1,3), (2,3), (3,3), (4,3), (5,3), (6,3)\\(1,4), (2,4), (3,4), (4,4), (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)[/tex]
Total number of outcomes =36
The event of rolling a 5 or a 6 are:
[tex](5,1), (6,1)\\ (5,2), (6,2)\\( (5,3), (6,3)\\ (5,4), (6,4)\\(1,5), (2,5), (3,5), (4,5), (5,5), (6,5)\\(1,6), (2,6), (3,6), (4,6), (5,6), (6,6)[/tex]
Number of outcomes =20
Therefore:
P(rolling a 5 or a 6) [tex]=\dfrac{20}{36}[/tex]
The probability distribution of this event is given as follows.
[tex]\left|\begin{array}{c|c|c}$Amount Won(x)&-\$1&\$2\\&\\P(x)&\dfrac{16}{36}&\dfrac{20}{36}\end{array}\right|[/tex]
First, we determine the expected Value of this event.
Expected Value
[tex]=(-\$1\times \frac{16}{36})+ (\$2\times \frac{20}{36})\\=\$0.67[/tex]
Therefore, if the game is played 100 times,
Expected Profit =$0.67 X 100 =$67
If you play the game 100 times, you can expect to win $67.
(b)
Probability of Winning [tex]=\dfrac{20}{36}[/tex]
If the game is played 100 times
Number of times expected to win
[tex]=\dfrac{20}{36} \times 100\\=56$ times[/tex]
Therefore, number of times expected to loose
= 100-56
=44 times
Jeremy makes $57,852 per year at his accounting firm. How much is Jeremy’s monthly salary? (There are 12 months in a year.) How much is Jeremy’s weekly salary? (There are 52 weeks in a year.)
Answer:
Monthly: $4,821
Weekly: $1112.54
Step-by-step explanation:
Monthly
A monthly salary can be found by dividing the yearly salary by the number of months.
salary / months
His salary is $57,852 and there are 12 months in a year.
$57,852/ 12 months
Divide
$4,821 / month
Jeremy makes $4,821 per month.
Weekly
To find the weekly salary, divide the yearly salary by the number of weeks.
salary / weeks
He makes $57,852 each year and there are 52 weeks in one year.
$57,852 / 52 weeks
Divide
$1112.53846 / week
Round to the nearest cent. The 8 in the thousandth place tells use to round the 3 up to a 4 in the hundredth place.
$1112.54 / week
Jeremy makes $1112.54 per week
A college student is taking two courses. The probability she passes the first course is 0.7. The probability she passes the second course is 0.67. The probability she passes at least one of the courses is 0.79. Give your answer to four decimal places. a. What is the probability she passes both courses
Answer:
0.58 = 58% probability she passes both courses
Step-by-step explanation:
We have two events, A and B.
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
In which:
[tex]P(A \cup B)[/tex] is the probability of at least one of these events happening.
P(A) is the probability of A happening.
P(B) is the probability of B happening.
[tex]P(A \cap B)[/tex] is the probability of both happening.
In this question:
Event A: Passes the first course.
Event B: Passes the second course.
The probability she passes the first course is 0.7.
This means that [tex]P(A) = 0.7[/tex]
The probability she passes the second course is 0.67.
This means that [tex]P(B) = 0.67[/tex]
The probability she passes at least one of the courses is 0.79.
This means that [tex]P(A \cup B) = 0.79[/tex]
What is the probability she passes both courses
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
[tex]0.79 = 0.70 + 0.67 - P(A \cap B)[/tex]
[tex]P(A \cap B) = 0.58[/tex]
0.58 = 58% probability she passes both courses
In a survey, 205 people indicated they prefer cats, 160 indicated they prefer dots, and 40 indicated they don’t enjoy either pet. Find the probability that if a person is chosen at random, they prefer cats
Answer: probability = 0.506
Step-by-step explanation:
The data we have is:
Total people: 205 + 160 + 40 = 405
prefer cats: 205
prefer dogs: 160
neither: 40
The probability that a person chosen at random prefers cats is equal to the number of people that prefer cats divided the total number of people:
p = 205/405 = 0.506
in percent form, this is 50.6%
Key west,Florida to Seattle, Washington is 3,518 miles. If it takes 7hours and 15 minutes to fly there, what is the average speed ?
Answer:
485.24 miles per hour
Step-by-step explanation:
The required average speed of the flight is 485.25 miles per hour.
Given that,
Key west, Florida to Seattle, Washington is 3,518 miles. If it takes 7 hours and 15 minutes to fly there, what is the average speed is to be determined?
The average of the values is the ratio of the total sum of values to the number of values.
What is speed?Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that object.
Total distance to fly = 3,518 miles
Total time = 7 hours 15 minutes = 7 + 15/60
= 7.25 hour
Speed = distance / time
= 3, 518 / 7.25
= 485.25 miles / hours,
Thus, the required average speed of the flight is 485.25 miles per hour.
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The number of calories you eat and the amount of weight you gain indicates what type of correlation?
Answer: A positive correlation
Step-by-step explanation:
Correlation tells the relation between two variables.
A positive correlation exists when two variables are proportional to each other.A negative correlation exists when two variables are inversely proportional to each other.As we know that the amount of weight you gain depends upon the number of calories you eat.
That means the amount of weight is directly proportional to the number of calories you eat ( if not burn by exercise).
That means there is a positive correlation.
So, the correct answer is " a positive correlation."
Please help. !!!!! Only if you are good at college algebra
1) What is the square root of 81
Can someone plz help me solved this problem I need the other line which is X! I already have line y but I need X plz someone help i need help!
Answer: see below
Step-by-step explanation:
To sketch the graph of y = 2x + 4,
notice that this is in Slope-Intercept form of y = mx + b where
m is the slope and b is the y-intercept.
--> m = [tex]\dfrac{2}{1}[/tex] b = 4
Start on the y-axis and plot 4 (coordinate (0, 4)
From that point, count Up 2 and Right 1 to plot the next point (1, 6)
Draw a line through the points (0.4) and (1, 6).
Using traditional methods it takes 107 hours to receive an advanced flying license. A new training technique using Computer Aided Instruction (CAI) has been proposed. A researcher believes the new technique may reduce training time and decides to perform a hypothesis test. After performing the test on 50 students, the researcher decides to reject the null hypothesis at a 0.10 level of significance.
What is the conclusion?
A. There is sufficient evidence at the 0.020 level of significance that the new technique reduces training time.
B. There is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time.
Answer:
B. There is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time.
Step-by-step explanation:
We are given that using traditional methods it takes 107 hours to receive an advanced flying license.
A researcher believes the new technique may reduce training time and decides to perform a hypothesis test.
Let [tex]\mu[/tex] = average training time to receive an advanced flying license
So, Null hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 107 hours {means that the new technique doesn't reduce training time}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 107 hours {means that the new technique may reduce training time}
Now, it is stated that after performing the test on 50 students, the researcher decides to reject the null hypothesis at a 0.10 level of significance.
As we know that if the test statistics value is rejected at a 10% level of significance, then it must not be rejected at the 0.02 level of significance.
This means that there is not sufficient evidence at the 0.02 level of significance that the new technique reduces training time because our null hypothesis has not been rejected.
Which expression is equivalent to StartRoot 128 x Superscript 8 Baseline y cubed z Superscript 9 Baseline EndRoot? Assume y greater-than-or-equal-to 0 and z greater-than-or-equal-to 1 2 x squared z squared StartRoot 8 y cubed z EndRoot 4 x squared y z cubed StartRoot 2 x squared EndRoot 8 x Superscript 4 Baseline y z Superscript 4 Baseline StartRoot 2 y z EndRoot 64 x Superscript 4 Baseline y z Superscript 4 Baseline StartRoot 2 y z EndRoot
Answer:
Option C.
Step-by-step explanation:
The given expression is
[tex]\sqrt{128x^8y^3z^9}[/tex]
It can be written as
[tex]\sqrt{(64\cdot 2)\cdot x^8\cdot y^{2+1}\cdot z^{8+1}}[/tex]
[tex]=\sqrt{8^2\cdot 2\cdot (x^4)^2\cdot y^{2}\cdot y\cdot (z^{4})^2\cdot z}[/tex]
[tex]=\sqrt{(8x^4yz^4)^2\cdot 2yz}[/tex]
[tex]=8x^4yz^4\sqrt{2yz}[/tex]
Therefore, the correct option is C.
Answer:
c
Step-by-step explanation:
The length of a rectangle is six times its width. The area of the rectangle is 384 square centimeters. Find the dimensions of the rectangle.
Answer:
Width = 8 cm
Length = 48 cm
Step-by-step explanation:
Area of a Rectangle Formula: A = lw
Step 1: Write out expression:
l = 6w
w = w
Step 2: Plug in known variables
384 = 6w(w)
Step 3: Solve for w
385 = 6w²
w² = 64
w = 8
Step 4: Find l
l = 6(8)
l = 48
When deriving the quadratic formula by completing the square, what expression can be added to both sides of the
equation to create a perfect square trinomial?
Answer:
The element you add is [tex]b^2 / 4a[/tex]
Step-by-step explanation:
The element you add is [tex]b^2 / 4a[/tex]
Remember that
[tex]a x^2 + bx +c \\= a ( x^2 +(b/a)x ) + c[/tex]
So, in order to complete the square you add [tex](b/2a)^2[/tex]
But when you multiply times [tex]a[/tex] you get
[tex]b^2 / 4a[/tex]
it can also be explained as D on edg if you still needed the answer :)
Use the equation Y = 3/27x - 54 +5.
Which is an equivalent equation of the form
y=aVx-h+k
y=-273x +2 +5
y=-3x + 2 + 5
y=33x-2+5
y=27*X-2 +5
Answer:
In the picture below for both parts
Step-by-step explanation:
Edge 2021
The solution is Option C.
The value of the equation is y = 3∛ ( x - 2 ) + 5
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
y = ∛ ( 27x - 54 ) + 5 be equation (1)
On simplifying the equation , we get
y = ∛27 ( x - 2 ) + 5
The cube root of 27 is ∛27 = 3
So , the equation will be
y = 3∛ ( x - 2 ) + 5
Therefore , the value of y is 3∛ ( x - 2 ) + 5
Hence , the equation is y = 3∛ ( x - 2 ) + 5
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What percent of the area underneath
this normal curve is shaded?
the answer is not 36%
Answer:
95%
Step-by-step explanation:
Answer:
99.7
Step-by-step explanation:
hope this helps !
Fill in the table using this function rule.
Answer:
1, 2.2, 5.5, 10.2.
Step-by-step explanation: these are simplified to the nearest tenth
A 6-pound bag of wheat costs $47.04. What is the price per ounce?
Answer:
$0.49
Step-by-step explanation:
Using the conversion
1 pound = 16 ounces , then
6 pounds = 6 × 16 = 96 ounces, thus
cost of 1 ounce = [tex]\frac{47.04}{96}[/tex] = $0.49
Write the slope-intercept form of the equation that passes through the point (1,5) and is perpendicular to the line y =-x + 3
Answer:
y = -1/7x - 23/7
Step-by-step explanation:
Step 1: Find slope m
m = (-4 + 3)/(5 + 2)
m = -1/7
y = -1/7x + b
Step 2: Find b
-3 = -1/7(-2) + b
-3 = 2/7 + b
b = -23/7
Step 3: Rewrite equation
y = -1/7x - 23/7
Stats A simple random sample of FICO scores is listed below. The mean FICO score is reported to be 678. Assuming that the standard deviation of all FICO scores is known to be 58.3, use a 0.01 significance level to test the claim that these sample FICO scores come from a population with a mean equal to 678. DATA: 714, 751, 664, 789, 818 , 779, 698, 836, 753, 834, 693, 802.
Step-by-step explanation:
The sample mean is:
(714+751+664+789+818+779+698+836+753+834+693+802) / 12
≈ 760.9
At 0.01 significance level and 11 degrees of freedom, the critical value is t = 3.106.
The standard error is 58.3 / √12 = 16.8.
The confidence interval is:
760.9 ± 3.106 × 16.8
(708.6, 813.2)
678 is outside of the confidence interval, so we can conclude with 99% confidence that the sample does not come from a population with a mean of 678.
To test the claim that the sample FICO scores come from a population with a mean equal to 678, we can use a one-sample t-test.
What is t-test?A t-test is a statistical test used to determine if there is a significant difference between the means of two groups.
It is often used when the sample size is small or when the population standard deviation is unknown.
To test the claim that the sample FICO scores come from a population with a mean equal to 678, we can use a one-sample t-test.
First, we need to calculate the t-value using the following formula:
t = (x - μ) / (s / sqrt(n))
We are given that x = 678, μ = 678, s = 58.3, and n = 12. Substituting these values into the formula, we get:
t = (678 - 678) / (58.3 / sqrt(12))
t = 0
Next, we need to find the critical t-value using a t-distribution table or calculator with 11 degrees of freedom (df = n - 1) and a 0.01 significance level. The critical t-value is 3.106.
Since the calculated t-value of 0 is less than the critical t-value of 3.106, we fail to reject the null hypothesis that the sample FICO scores come from a population with a mean equal to 678.
Thus, in other words, there is not enough evidence to support the claim that the sample FICO scores have a different mean than the population mean of 678.
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An auto race consists of 15 laps. Jon Kimm completes the first 3 laps at an average speed of 195 mph, and the remaining laps at an average speed of 205 miles per hour. Let d represent the length of one lap. Choose the time in terms of d that it takes the driver to complete the race.
Answer:
equation is inconclusive
Step-by-step explanation:
you average the two speeds getting 200 mph. then you need to know the time is took to fully complete the race to get the unit rate which you would multiply to find yiur time.
Write an equation of a line that contains the point (-2,3) with a slope of 0.
Answer:
y =3
Step-by-step explanation:
Slope of zero means it is a horizontal line
Horizontal lines are of the form
y =
The y coordinate is 3 so
y =3
Jackson is three times as heavy as Andrew. If the sum of their weight is 360 pounds, find Andrews weight
Answer:
40 pounds is the correct answer....
Hope this helps.......
The following data represent the miles per gallon for a particular make and model car for six randomly selected vehicles. Compute the mean, median, and mode miles per gallon 24.2. 22.2. 37.8, 22.7. 35 4. 31.61. Compute the mean miles per gallon. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mean mileage per gallon is _______B. The mean does not exist 2. Compute the median miles per gallon. Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. The median mileage per gallon is __________B. The median does not exist. 3. Compute the mode miles per gallon. Select the correct choice below and, if necessary,fill in the answer box to complete your choice. A. The mode is _________B. The mode does not exist.
Answer:
A. The mean mileage per gallon is _____ 28.99__
A. The median mileage per gallon is _____27.905_____
B. The mode does not exist.
Step-by-step explanation:
Mean= Sum of values/ No of Values
Mean = 24.2 + 22.2+ 37.8+ 22.7 + 35.4 +31.61/ 6
Mean = 173.91/6= 28.985 ≅ 28.99
The median is the middle value of an ordered data which divides the data into two equal halves. For an even data the median is the average of n/2 and n+1/2 value where n is the number of values.
Rearranging the above data
22.2 , 22.7 , 24.2 , 31.61 , 35.4, 37.8
Third and fourth values are =24.2 + 31.61 = 55.81
Average of third and fourth values is = 55.81/2= 27.905
Mode is the values which is occurs repeatedly.
In this data there is no mode.