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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(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]
3. A palm free is 12m in height.
A coconut tree is 16m in height.
What is the combined height of the
trees?
Answer:
12+16= 28m
28m is the combined height of the trees .
Hope this helps !
Find the area, in square units, of rectangle ABCD plotted below. A (-4,5) B (-2,-3) C (2,-2) D (0,6)
Answer:
The answer is: D) 34
Which description explains how uplift can form mountain ranges?
O A. Wind and water carve rock layers and valleys that leaves some rock layers higher over thousands of years.
O B. Lava from underground volcanoes flows through a surface opening in the crust and cools over hundreds of years.
O c Earthquakes cause large blocks of rocks to fall below the ridges of higher surrounding rock layers over tens of years.
Oo. Forces in the crust push toward each other and cause a section of rock to rise above the surrounding rock over millions of years
Answer: d. Forces in the crust push toward each other and cause a section of rock to rise above the surrounding rock over millions of years
Step-by-step explanation:
Uplift refers to when the earth's crust is forced to rise above the surrounding area due to pressure from underneath (sometimes this pressure can be from above). It is usually the result of forces of compression pulling plates together.
As these plates collide with one another over millions of years, the rock at the collision boundary is forced to rise above the surrounding rock thereby resulting in an uplift.
Which of the following measures cannot be determined from a box plot?
select all that apply.
A. Interquartile range
B. Mean
C. Mean absolute deviation
D. Median
E. Mode
F.Range
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Explanation:
The box plot, aka "box-and-whisker plot", visually represents five things. These things are:
MinimumQ1 = first quartileMedian (sometimes referred to as Q2 or second quartile)Q3 = third quartileMaximumThis list of five items is known as the five number summary.
The min is the tip of the left most whisker, assuming there aren't any small outliers. The max is the opposite side, being the tip of the right most whisker (assuming no large outliers). If there are any outliers, then they'll be shown as "island" dots on their own separated from the main box plot. The left and right edges of the box are Q1 and Q3 respectively. The median is the vertical line inside the box. The vertical line does not have to be at the midpoint of the left and right edges of the box. It simply needs to be somewhere in the box.
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Since the box plot lets us know the min and max, we can compute the range because
range = max - min
and we can also calculate the interquartile range (IQR) because
IQR = Q3 - Q1
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So to summarize so far, the five number summary is visually represented as the box plot. The range and IQR can be computed using items from the five number summary.
We cannot compute the mean because we would need the actual data set of values, rather than the summary data. The same goes for the mean absolute deviation (MAD) and the mode. Since your teacher is looking for things that cannot be determined from a box plot, we'll go for answers B, C and E.
In other words, we rule out choices A, D, and F because we can compute or determine those values from a box plot.
An arc that measures 180 degrees is called a
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
If the area of a square is 9, then the perimeter of the
square is
Answer:
12.
Step-by-step explanation:
The side length = sqrt 9 = 3
so the perimeter = 4*3 = 12.
Hi there!
»»————- ★ ————-««
I believe your answer is:
12 units.
»»————- ★ ————-««
Here’s why:
The formula for area of a square is:
[tex]A=s^2\\\\\boxed{\text{Key:}}\\\\s-\text{Side length given.}[/tex]
⸻⸻⸻⸻
We are given the area of the square, 9. To find the side length of the square, required to get the perimeter, we would have to take the square root of 9.Recall that the area of a square is the square of it's side length. [tex](s^2)[/tex]⸻⸻⸻⸻
[tex]\boxed{\text{Finding the side length of the square:}}\\\\\rightarrow S=9\\\\\sqrt{9}=3\\\\\rightarrow S=\boxed{3}^2[/tex]
⸻⸻⸻⸻
The side length of the square is 3 units.
⸻⸻⸻⸻
The formula for perimeter of a square is:
[tex]P=4(s)\\\\\boxed{\text{Key:}}\\\\s-\text{Side Length}[/tex]
⸻⸻⸻⸻
We have previously calculated the side length of the square, which is 3.We would have to multiply 3 by 4 to get the perimeter.Recall that the perimeter of a square is 4 times the side length. [tex]4(s)[/tex].
⸻⸻⸻⸻
[tex]\boxed{\text{Finding the perimeter of a square:}}\\\\P=4(3)\\\\\boxed{P=12}[/tex]
⸻⸻⸻⸻
The perimeter of the square is 12 units.
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
In the figure below, j || n. Find the values of y and x.
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
What value of xwill make x3/2=8 true?
Answer:
is it x to the power of 3 or 3x over 2=8?
Step-by-step explanation:
Answer:
x = ∛2^4 which is approx. 2.5
Step-by-step explanation:
x³/2 = 8/1
cross-multiply to get:
x³ = 16
x³ = 2^4
multiply each exponent by 2/3
x^(3·2/3) = 2^(4·2/3)
x² = 2^8/3
take square root of each side:
x = 2^(8/3 · 1/2)
x = 2^4/3
x = ∛2^4
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).
What is the value of x in the following equation?
7/8x=42
(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.
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%.
Which expression is equivalent to 6 (3.1 + 4)?
Answer: 42.6
Step-by-step explanation:
First you would distribute the outer number to all the inner numbers:
6*3.1 + 6*4 = 18.6 + 24
Next you would add the numbers you just got:
18.6 + 24 = 42.6
i need help. please
Answer:
what are we supposed to do
Step-by-step explanation:
im confused
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
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)
Plzzzzz help for a brainly
Answer:
I think it would be C. 1/6. not for sure though
Step-by-step explanation:
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}
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 percent of 36 is 20?
Answer:
55.56%
Step-by-step explanation:
Answer:
55.56
Step-by-step explanation:
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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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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Help help help !!!!!!!!!!!!!!!
Answer:
1
Step-by-step explanation:
So,6 to the power of 0 is 0.So the leftover is just one.
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.
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.
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 - ))
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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