Considering the t-test applied, the number of degrees of freedom is given by:
d. 10.
What is the number of degrees of freedom of a t-test?For a sample of size n, the number of degrees of freedom is given by:
df = n - 1
When there are m samples, the amount of degrees of freedom is m multiplied by the sum of degrees of freedom of each sample.
In this problem, there are 2 samples with 6 - 1 = 5 df, hence:
2 x 5 = 10.
Option d is correct.
More can be learned about a t-test at https://brainly.com/question/13873630
HELP ASAP
The minute hand of this clock is shown in two positions. The minute hand first forms a 46° angle with the hour hand. It then forms an 84° angle with the hour hand.
How many degrees did the minute hand turn from its first position to its second position?
Enter your answer in the box.
Answer:
38 degrees
Step-by-step explanation:
To get the answer, we need to subtract the first angle from the second angle:
84-46=38
The minute hand turned 38 degrees from its first to second position.
How to check the answer? Use inverse operations.
46+38=84
what is 5/8 divided by 1 1/3
Answer:
Reduce the expression, if possible, by canceling the common factors.
Exact Form:
15/32
Decimal Form:
0.46875
Step-by-step explanation:
Good Luck!
Answer:
hope this helps
Step-by-step explanation:
HELP PLEASE
evaluate the expression if
x=12, y=8, and z=3
5y+ x/z
Answer:
Given expression ,
[tex]\bold\purple{5y + \frac{x}{z}} \\ [/tex]
Also ,
value of x = 12
value of y = 8
value of z = 3
Substituting the values of x , y and z in the expression given , we get
[tex]\bold{⇢5(8) + \cancel{\frac{12}{3} }} \\ \\ \bold{ ⇢40 + 4} \\ \\ \bold\red{ ⇢44}[/tex]
hope helpful~
Hello.
First, let's plug in the values of the variables.
x=12
y=8
z=3
[tex]\mathrm{5(8)+\displaystyle\frac{12}{3}}[/tex]
5 times 8 equals 40:
[tex]\mathrm{40+\frac{12}{3}}[/tex]
12 divided by 3 equals 4:
[tex]\Large\boxed{44}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Help asap! Please! A 40 cm tomato plant cast a 25cm shadow. How tall is the corn stalk if it's shadow is 280cm long?
Answer:
448
Step-by-step explanation:
This is a proportion question. Keep the heights on one side of the proportion and the shadow length on the other.
height ratio shadow ratio
40 cm / x = 25 / 280 Cross multiply
25x = 40 * 280 Combine
25x = 11200 Divide by 25
x = 11200/25
x = 448 cm
The height of the corn plant is 448 cm
place help and thanks
Answer:
[tex] \sqrt{ {(6 + 2)}^{2} + {(8 - 2)}^{2} } \\ \sqrt{64 + 36 } \\ \sqrt{100 } \\ 10[/tex]
Which quantity could go in the blank to make the equation true?
A- 2x
B- 3x
C- 2
D- 3
Solve for x to the nearest tenth.
Answer:
11.4
Step-by-step explanation:
Subtract 14-7 to get the height of the triangle. 9 is the width.
Now we need to find the hypotenuse which is c^2=a^2+b^2
x^2=7^2+9^2=11.4
Let me know if this helped <3
Nick is single. His gross income is $42,000. His deductions are $4,250. Nick's income tax is $_____.
Answer:
tax is 37,750 $
Step-by-step explanation:
Hope It Helps
Which of the following shows the circumference and how to
find the circumference of a circle if the diameter is d = 10 in?
Answer:
C≈31.42in
d Diameter
Hope it helps
Have a good day
What is the answer for this problem I need help!
Answer:
x = 6 cm
Step-by-step explanation:
We can write equations for length and width using the information given:
length = 2 + x
width = 2x - 5
Area = (length)(width) = 56
Area = (2 + x)(2x - 5) = 4x - 10 + 2x² - 5x
Simplifying:
Area = 2x² - x - 10 = 56
2x² - x - 66 = 0
Factoring:
(2x + 11)(x - 6) = 0
x = 6, -11/2
We choose the positive number: x = 6 cm
To check, plug in 6 for x:
Area = (2 + x)(2x - 5) = 56
(2 + 6)(12 - 5) = 56
(8 × 7) = 56
56 = 56
The grades on a math exam are normally distributed with μ = 45 and σ = 5. Celestine obtained 55 on the exam. Find the z-score that corresponds to Celestine’s score.
Answer:
2
Step-by-step explanation:
Use z score formula.
55 is x
plug in u and sd.
When was zero invented and who is credited with that discovery?.
Searching it up gives your answer right then and there.
The first record of zero was founded in Mesopotamia 3 B.C
Inventor:
The Mayans invented it independently circa 4 A.D
Then it was only then during mid-fifth century it spread to Cambodia
Near the end of seventh century it went to China, and Islamic counties at the end of the eighth century.
(Correct me if I'm wrong not all website's are reliable,So sorry if I'm wrong.)
Convert
2005
16
Convert 200pi/16 from radians to degrees. Then find the coterminal angle what would be between 0 and 360 degrees. Finally give the sin of this angle.
You answer will have 3 parts:
-The original angle converted to degrees, showing the steps used.
-The coterminal angle that is between 0 and 360 degrees, showing the steps used.
-The sin of this angle.
Using proportions, it is found that the original angle is of 2250º. The co-terminal angle is of 90º, which has sine equals to 1.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The proportion considered in this problem is that 2pi is equivalent to 360º and we want to find the equivalent angle to 200pi/16, hence the rule of three is given by:
2 pi - 360º
200pi/16 - x º
Applying cross multiplication:
[tex]x = \frac{1}{2\pi} \times 360 \times \frac{200\pi}{16}[/tex]
[tex]x = 2250^\circ[/tex]
The original angle is of 2250º.
To find the co-terminal angle, we find the remainder of the division of 2250 by 360, hence it is of 90º, which has sine equals to 1.
More can be learned about proportions at https://brainly.com/question/24372153
Mackenzie picked 20 strawberries, 5 blueberries, and 15 raspberries. What was the ratio of the number of strawberries to the total number of berries she picked?
Answer:
20:40
Step-by-step explanation:
Because part of the ratio is the total number of berries, we need to add up all of the berries.
20+15+5=40
The number of strawberries picked is 20, so the ratio is 20:40
The evacuation slide from an aircraft is shown. If the slide is 73 feet long, what is its height at the top in feet?
Answer:
48 feet.
step-by-step explanation:
given slide length: 73 feet longgiven base length: 55 feet longusing Pythagoras theorem:
a² + b² = c²
h² + 55² = 73²
h² = 73² - 55²
h² = 5329-3025
h² = 2304
h = √2304
h = 48
Answer:
x = 48 ft
Step-by-step explanation:
Pythagoras' Theorem: a² + b² = c²
(where a and b are the legs, and c is the hypotenuse, of a right triangle)
Given:
a = xb = 55 ftc = 73 ftSubstitute the given values into the formula and solve for x:
⇒ x² + 55² = 73²
⇒ x² + 3025 = 5329
⇒ x² = 5329 - 3025
⇒ x² = 2304
⇒ x = ±√2304
⇒ x = ±48
Since distance is positive, x = 48 ft
Penelope determined the solutions of the quadratic function by completing the square. F(x) = 4x2 8x 1 –1 = 4x2 8x –1 = 4(x2 2x) –1 1 = 4(x2 2x 1) 0 = 4(x 2)2 0 = (x 2)2 0 = x 2 –2 = x What error did Penelope make in her work? Penelope should have subtracted 1 from both sides instead of adding 1. Penelope should have subtracted 4 from both sides instead of adding 1. Penelope should have added 4 to both sides instead of adding 1. Penelope should have subtracted 8 from both sides instead of adding 1.
By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.
What is quadratic equation ?Any equation of the form [tex]ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .
Given work of Penelope is
[tex]$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$$[/tex]
Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following
[tex]$$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$$[/tex]
By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.
To learn more about quadratic equations visit : https://brainly.com/question/1214333
Answer:
C) Penelope should have added 4 to both sides instead of adding 1.
Step-by-step explanation:
Got it right on edge! Good Luck <3
Find the volume of a right circular cone that has a height of 15 ft and a base with a radius of 7. 9 ft
Answer:
883.57
Step-by-step explanation:
closet answer I can find
question of types of numbers
PLEASE HELP WILL GIVE BRAINLIEST
#HARDQUETION
Answer:
1.75/n
Step-by-step explanation:
1.75 divided by n is equal to 0.35
What is the distance between the points (6,8) and (-4,2)
Answer:
2√34
Step-by-step explanation:
→ Find the difference between the x coordinates
-4 - 6 = -10
→ Find the difference between the y coordinates
2 - 8 = -6
→ Use Pythagoras
√ -10² + 6²= 2√34
i need help before `10:15 hurry
Answer:
A, C.
Step-by-step explanation:
A function is a relationship between two variables. Another definination is that it relates an input to an output. In the answer A, x is the input. Y changes based on x.
Arjun and Gretal each pay rent. In 2018, the ratio of the amount each paid in rent was Arjun : Gretal In 2019, the ratio of the amount each paid in rent was Arjun : Gretal = 5:7. = 9:13. Arjun paid the same amount of rent in both 2018 and 2019. Gretal paid $290 more rent in 2019 than she did in 2018. Work out the amount Arjun paid in rent in 2019.
Answer:
$6525
Step-by-step explanation:
I rewrote the problem before because the ratios are not clear in the given problem.
------------------------------------------------------------------------------------------
Arjun and Gretal each pay rent.
In 2018, the ratio of the amount each paid in rent was Arjun:Gretal=5:7.
In 2019, the ratio of the amount each paid in rent was Arjun:Gretal=9:13.
Arjun paid the same amount of rent in both 2018 and 2019. Gretal paid $290 more rent in 2019 than she did in 2018. Work out the amount Arjun paid in rent in 2019.
------------------------------------------------------------------------------------------
2018: Arjun/Gretal = 5x/7x
2019: Arjun/Gretal = 9y:13y
5x = 9y
13y = 7x + 290
Solve the first equation for x. Substitute in second equation.
x = 9y/5
13y = 7(9y/5) + 290
Multiply both sides by 5.
65y = 63y + 1450
2y = 1450
y = 725
In 2019, Arjun's rent was 9y.
9y = 9(725) = 6525
Answer: $6525
Check:
Solve for x.
x = 9y/5 = 9(725)/5 = 1305
Now we find Arjun's and Gretal's rents in both 2018 and 2019.
2018: Arjun 5x = $6525; Gretal 7x = $9135
2019: Arjun 9y = $6525; Gretal 13y = $9425
Arjun's rent is the same in both 2018 and 2019 as the problem states.
Gretal's rent is $290 more in 2019 than in 2018 since $9425 - $9135 = $290.
This confirms the answer $6525 is correct.
Can anybody help me pleaseeeeee
Answer:
ok ez
Step-by-step explanation:
a) 119/1009=11.79%
b) 264/1009=26.17%
c) 75/1009= 7.43%
d) 9/1009= 0.89%
u are welcome :)
Anyone mind helping? Please!
Answer:
vertex: (0,-1)
axis of symmetry: x=0
During a sale, a store offered a 10% discount on a bed that originally sold for $380. After the sale, the discounted price of the bed was marked up by 10%. What was the price of the bed after the markup? Round to the nearest cent.
The price of the bed is $376.2
How to determine the price of the bedFrom the question, we have the following parameters that can be used in our computation:
Discount = 10%
Original selling price = $380
Markup = 10%
The price of the bed is calculated using
Price = Original selling price * (1 - Discount) * (1 + Markup)
Substitute the known values in the above equation, so, we have the following representation
Price = 380 * (1 - 10%) * (1 + 10%)
Evaluate
Price = $376.2
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If I have 10,000 dollars
And spend some
And only have 491.2 left
How muchs dids I spents
Answer:
9,508.8 dollars spent
Step-by-step explanation:
subtraction.
Answer:
$9,508.8
Step-by-step explanation:
10,000-491.2=ans
At band practice there were 8 rows of
students, with 3 students in each row. There
were also more students in the back of the
room. There was a total of 29 students in
the band. How many students were in the
back of the room?
Answer:
There were 5 students in the back of the room.
Step-by-step explanation:
8x3=24
Which means that there were 24 students on the stage
Then...
29-24=5
Which means that there were 5 students in the back of the room.
Thanks!
5 boys and 4 girls are randomly arranged to sit in a row. find the probability that all girls sit together
Answer:
Solving steps:
Question:5 boys and 4 girls are randomly arranged to sit in a row. find the probability that all girls sit together.
Find:the probability that all girls sit together.
Solution: 5 boys and 4 girls, 9 kids in all, can be seated in a row in 9! ways. In order to find the number of ways, where the 4 girls are seated together, we place them in an imaginary group Z, so that they are not separated in the seating arrangements. Now we have 6 entities, namely 5 boys and one group of girls, and the number of ways of their seating is 6!. For each of these 6! ways, the 4 girls can be seated within the group Z in 4! ways. So the number of ways in which the 4 girls are seated together, is 6!/4!.
So the probability, as requested, is (6!4!)/9! = 24/(7x8x9) = 1/21
A biologist studied the frequency of croaks for frogs from two different regions. From a random sample of 32 frogs located in the northern region, the mean number of croaks per hour was 21.3, and from a random sample of 38 frogs located in the southern region, the mean number of croaks per hour was 28.9. To estimate the difference in the mean number of croaks (southern minus northern), a 95 percent confidence interval was constructed from the samples. The interval was reported as (7.1,8.1).
The claim supported by the confidence interval is as follows:
The southern frogs are likely to have a greater mean number of croaks per hour than the northern frogs.
What is the confidence interval?The 95% confidence interval for the difference(southern - northern) is given by:
(7.1, 8.1)
Since the entire confidence interval is above 0, the claim supported by it is as follows:
The southern frogs are likely to have a greater mean number of croaks per hour than the northern frogs.
More can be learned about confidence intervals at https://brainly.com/question/25890103
help me with this thisssssssss