Answer:
H0 : μ = 6.4
H0 : μ > 6.4
Sample mean = 7.24
Pvalue = 0.120
At each α - level ; 0.1, 0.05, 0.01 ; We fail to reject the null
Step-by-step explanation:
From the sample data :
Mean, xbar, = The test statistic :
ΣX / n = 361.8 / 50 = 7.24
Standard deviation, s = √Σ(x - xbar)²/ n-1 = 2.263
The hypothesis :
H0 : μ = 6.4
H0 : μ > 6.4
The test statistic, Z ;
(xbar - μ) / s/√n
(7.24 - 6.4) / s/√n
0.84 / 2.263/√10
Z = 0.84 / 0.7156234
Z = 1.174
Using the Pvalue from Zscore calculator to Obtain the Pvalue ;
Pvalue = 0.120
Decision region :
Reject H0 ; if Pvalue < α
At 90% ; α = 0.1
Pvalue > α ; We fail to reject the Null
At 95% ; α = 0.05
Pvalue > α ; We fail to reject the Null
At 99% ; α = 0.01
Pvalue > α ; We fail to reject the Null
What is the solution to the system of equations graphed below? y = -2x - 3 y = 3x + 2 O A. (-1,1) B. (0,2)
What is the image point of (9,4) after the transformation R180° O rx-axis ?
Answer:
The image after the transformation is (-9,-4).
Step-by-step explanation:
When you rotate a point (x,y) 180º over the x-axis, the image of the point is (-x,-y).
In this question:
Point (9,4) rotated 180º over the x-axis so the image is (-9,-4).
Which distribution is positively skewed?
Answer:
It’s C
Step-by-step explanation:
When the outlier is on the right of the rest then it’s going to be positively skewed
(3-2i)(1 + 7i)
What is the product?
Answer:
17+19i
Step-by-step explanation:
[tex](3-2i)(1+7i) =3+21i-2i-14i^2=3+19i+14=17+19i[/tex]
A report published by the Federal Reserve Bank of New York in 2012 reported the results of a nationwide study of college student debt. Researchers found that the average student loan balance per borrower is $23,300. They also reported that about one-quarter of borrowers owe more than $28,000. Assuming that the distribution of student loan balances is approximately normal.
Requird:
Estimate the proportion of borrowers who owe more than 54,000.
Answer:
The proportion of borrowers who owe more than 54,000 is 0%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Researchers found that the average student loan balance per borrower is $23,300.
This means that [tex]\mu = 23300[/tex]
They also reported that about one-quarter of borrowers owe more than $28,000.
This means that the 1 subtracted by the p-value of Z is 0.25 when X = 28000, that is, when X = 28000, Z has a p-value of 0.75, so when X = 28000, Z = 0.675. We use this to find [tex]\sigma[/tex]
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{28000 - 23300}{\sigma}[/tex]
[tex]0.675\sigma = 4700[/tex]
[tex]\sigma = \frac{4700}{0.675}[/tex]
[tex]\sigma = 6963[/tex]
Estimate the proportion of borrowers who owe more than 54,000.
This is 1 subtracted by the p-value of Z when X = 54000. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{54000 - 23300}{6963}[/tex]
[tex]Z = 4.41[/tex]
[tex]Z = 4.41[/tex] has a p-value of 1
1 - 1 = 0
The proportion of borrowers who owe more than 54,000 is 0%.
(2.8•10^8)(1.9•10^4)
Answer: 5.32 × 10^12
Step-by-step explanation:
This is a question relating to indices. In indices, we add the power given for question relating to multiplication. Hence, this will be:
= (2.8•10^8)(1.9•10^4)
= (2.8 × 1.9) × 10^8+4
= 5.32 × 10^12
Therefore, the answer to the question will be 5.32 × 10^12.
Which inequality has an open circle when it is graphed on a number line?
3
42x
O xS12
O x2-6
Answer:
x > 3/5
Step-by-step explanation:
x > 3/5 has an open circle because 3/5 is not included
if it was x ≥ 3/5 then that would include 3/5 and the circle would be closed
what is the volume of a rectangular prism with a length of 4 a width of 6 and a height of 2?
Answer: Volume = 48
Step-by-step explanation:
V = L * W * H
V = 4 * 6 * 2
V = 48
Maria has a jewelry box and wants to increase its size. She finds one with four times the length, width, and height. How many times bigger will the volume of the box be?
Answer:
64 times bigger
Step-by-step explanation:
I will use random values for this explanation to make it more understandable.
Lets say the length of the box is 1 inch, width is 1 inch, and height is 1 inch.
The volume would be l*w*h = 1*1*1 = 1 cubic inch
If the dimensions were 4 times bigger, the length, width and height would all be 4 inches.
4*4*4 = 64 cubic inches, which is 64 times bigger than the smaller box with a volume of 1 cubic inch.
Hope this answer helped! :)
A new variety of turf grass developed for use on golf courses is claimed to have a germination rate of 85%. To evaluate this claim, 100 seeds are randomly selected and planted in a greenhouse so that they are exposed to identical conditions. If the germination rate is 85% as claimed. What represents the approximate probability that 92 seeds or more will germinate?
Answer:
Probability = 0.01531
Step-by-step explanation:
Prob (Getting 92 out of 100 germinated seeds) follows binomial probability distribution.
N = Number of seeds = 100. r = Number of success (germination) = 92
r = No. Success = Seed germination, Prob (Success) ie P = 85% = 0.85 , Prob (non success ie non germination) ie Q = 1 - 85% = 15% = 0.15
Probability = N c r . (P)^r . (Q)^(n-r)
= 100c92 (0.85)^92 (0.15)^8
= 186087894300 (0.000000321026708) (0.000000256289062)
= 0.01531 {Approx}
i need help. please
Answer:
what are we supposed to do
Step-by-step explanation:
im confused
Plzzzzz help for a brainly
Answer:
I think it would be C. 1/6. not for sure though
Step-by-step explanation:
What is ∑n=132(4n+1) equal to?
Enter your answer in the box.
Answer: 2144
Step-by-step explanation:
I just took the test
The summation of this series is 5940 for n takes 0,1,2,3,4.
What is summation of series?These functions use addition to sum up a series of numbers by solving the integer variable x from numeric constant, whose value is the sum of the each number in the sequence is summation.
For the given situation,
The series is ∑n = 132(4n+1)
Let us consider ∑n=4
So n takes the value, n=0,1,2,3,4.
⇒[tex]132(4(0)+1)+132(4(1)+1)+132(4(2)+1)+132(4(3)+1)+132(4(4)+1)[/tex]
⇒ [tex]132+660+1188+1716+2244[/tex]
⇒ [tex]5940[/tex]
Hence we can conclude that the summation of this series is 5940 for n takes 0,1,2,3,4.
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A cylinder has a volume of 2512 cubic feet. If the height of the cylinder is 50 feet, what is the radius of the cylinder? Use 3.14 for pi.
Answer:
4 ft.
Step-by-step explanation:
2512 = 3.14 * r^2 * 50
r^2 = 2512 / (3.14 * 50)
r^2 = 16
r = 4 ft.
10
TIME REMAINING
53:49
Which polynomial function has a leading coefficient of 1 and roots (7 + i) and (5-1) with multiplicity 1?
Of(x) = (x + 7)(x-7)(x + 5)(x + 1)
Of(x) = (x-7)(x-7)(x - 5)(x + 1)
Of(x) = (x-(7-1)(x-(5 + 1)(x-(7 + 1)(x-(5-))
Of(x) = (x + (7-1)(x + (5 + 1)(x + (7 + 1)(x + (5 - ))
Mark this and retum
Save and Exit
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Submit
Answer:
(7 - i) and (5 + i) with multiplicity 1 are also roots of this polynomial. The complete set of roots are: Therefore the polynomial is: The correct choice is C
Dan wants to determine the number of liters of a 20% acid cleaning solution that he should combine with an 80% acid cleaning solution to create 50 liters of a 60% acid cleaning solution. Part A Let z represent the number of liters of the 20% acid cleaning solution. Which equation represents this situation? O 0.6(50) = 0.2x + 0.8x O.0.20 +0.8(50 – x) = 0.6(50) O 0.6(50) = 0.20 +0.8(x – 50) O 0.22 +0.8(x + 50) = 0.6(50) Part B
1) Maggie has 7 bills, all tens and twenties, that
total $100 in value. Find the number of tens, x, and
the number of twenties, y, that Maggie has.
What is the value of x in the following equation?
7/8x=42
In Buenos Aires, the average daily high temperature temperature in a year is reported to be 18.2^{\circ}\text{C}18.2 ∘ C18, point, 2, degrees, start text, C, end text. Catalina believes that last year was warmer than usual. In order to test her belief, she takes a simple random sample of 202020 days from last year, and records the daily high temperature on each chosen day. She finds that the sample mean temperature is 19.1^{\circ}\text{C}19.1 ∘ C19, point, 1, degrees, start text, C, end text and the sample standard deviation is 7.9^{\circ}\text{C}7.9 ∘ C7, point, 9, degrees, start text, C, end text. Catalina wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.
Answer:
H 0
:μ=18.2 ∘ C
H a
:μ>18.2 ∘ C
Step-by-step explanation:
Khan............... The null hypothesis has a statement of equality, and the direction of alternative hypothesis (>)(>)left parenthesis, is greater than, right parenthesis matches her belief that last year was warmer.
The three conditions for hypothesis testing are approximately met, and the null hypothesis is that the population mean daily high temperature in Buenos Aires is 18.2∘C.
What is hypothesis testing?Hypothesis Testing is a type of statistical analysis in which you put your assumptions about a population parameter to the test. It is used to estimate the relationship between 2 statistical variables.
here, we have,
The three conditions for hypothesis testing are approximately met based on the information given.
Null hypothesis (H0) is that the population mean daily high temperature in Buenos Aires is 18.2∘C. Alternative hypothesis (Ha) is that the population mean daily high temperature in Buenos Aires is greater.
The test statistic is calculated as (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).
The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed test statistic, assuming the null hypothesis is true. It can be calculated using a t-distribution with degrees of freedom equal to the sample size minus one.
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Judith has \$70 in a savings account that earns 5% interest , compounded annually .
To the nearest cent, how much will she have in 3 years ?
Answer:
$81.03
Step-by-step explanation:
Given
[tex]n = 1[/tex] --- annually
[tex]t =3[/tex] --- time
[tex]r = 5\%[/tex] --- rate
[tex]PV = \$70[/tex] ---- Present value
Required
The future value
This is calculated as:
[tex]FV = PV * (1 + \frac{r}{n})^{nt}[/tex]
This gives:
[tex]FV = 70 * (1 + \frac{5\%}{1})^{1*3}[/tex]
[tex]FV = 70 * (1 + 5\%)^3[/tex]
[tex]FV = 70 * (1.05)^3[/tex]
[tex]FV = 70 * 1.157625[/tex]
[tex]FV = 81.03375[/tex]
The future value to the nearest cent is: $81.03
which number are in order from least to greatest
-0.9, -1, -1.5, -2.3-2.5
-2.5, -2.3, -1.5, -1, -0.9
0.01, 0.002, 0.003, 0.00004
1/2, 1/3, 1/4, 1/5
Answer:
the second set of numbers are in least to greatest.
Step-by-step explanation:
Since it is negative -2.5 is farther away from zero than -2.3
A cheery tree is 6 feet tall. A palm is 3 times as tall as the cherry tree. Which model represents this problum
Answer: Bottom left
Step-by-step explanation:
Answer:
Bottom Left
Step-by-step explanation:
Im near 100% sure if im wrong im very sorry
What property is (4 + b) + 8= 4 + (b + 8)
Answer:
Associative Property
Step-by-step explanation:
Associative Property= Uses parethesis and it doesnt matter the order you put it in it. You are going to get the same answer.
An arc that measures 180 degrees is called a
In the figure below, j || n. Find the values of y and x.
A- (-2,0) and (1,0)
B- (0,1)
C- (0,4)
D- (-4,0) and (2,0)
Answer:
D
Step-by-step explanation:
X line is intercepted at (-4,0) and (2,0)
Leon rides his bike 6 kilometers each day. How far does he ride in 34 days?
Answer:
204 km
Step-by-step explanation:
Since it is known he hides 6km in 1 day, it would be 34 times this given 34 days.
This is because 34 days is 34 times 1 day.
With this, you would do 6 * 34, to get your answer: 204 km.
Leon rides 204 kilometers in 34 days.
What is speed?Speed is the ratio of the given distance and time.
It shows how fast an object is moving at a given time.
The formula is Distance / Time.
We can find the distance or time when the required values are given using this formula.
We have,
Speed =Distance / Time
Now,
Speed = 6km/day
To find out how far Leon rides in 34 days, we can multiply the distance he rides in one day by the number of days he rides:
Distance = 6 km/day x 34 days = 204 km
Therefore,
Leon rides 204 kilometers in 34 days.
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2
Each of the following is part of your innate immune system,
except:
A
Stomach acid
B
White blood cells
С
Skin
D
Mucus
Answer:
B white blood cells
Step-by-step explanation:
Over what interval(s) is the function decreasing?
A)
-∞ < x < ∞
B)
- ∞ < x < 5
C)
5
D)
never
Answer:
A and BStep-by-step explanation:
C isnt an interval and the function is always decreasing
Help help help !!!!!!!!!!!!!!!
Answer:
1
Step-by-step explanation:
So,6 to the power of 0 is 0.So the leftover is just one.