In order to determine an interval for the mean of a population with unknown standard deviation a sample of 61 items is selected. The mean of the sample is determined to be 23. The number of degrees of freedom for reading the t value is
a. 22
b. 23
c. 60
d. 61
Answer:
c. 60
Step-by-step explanation:
Given
[tex]n = 61[/tex] --- sample
[tex]\bar x = 23[/tex]
Required
Determine the degrees of freedom (df)
This is calculated as:
[tex]df = n - 1[/tex]
[tex]df = 61 - 1[/tex]
[tex]df = 60[/tex]
John is cutting 3 wooden sticks to build part of a kite frame. The part he is building must be a right triangle.
Select all the possible lengths, in inches, of the sticks John could cut to make a right triangle.
A. 6, 8, 10
B. 2, 5, 10
C. 2, 3, 5
D. 12, 16, 20
E. 3, 4, 13
Answer:
I found 2 answers for this one
Step-by-step explanation:
B- 2,5,10
D-12,16,20
The possible length in inches of the stick that will make a right angle triangle are as follows
6, 8, 1012, 16, 20What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees.
The right angle triangle must obeys the Pythagorean theorem.
c² = a² + b²
where
c = hypotenusea and b are the other legs.Therefore, the sides that makes a right angle are as follows:
6, 8 , 10 : 6² + 8² = 10²
12, 16, 20 : 12² + 16² = 20²
learn more on right triangle here: https://brainly.com/question/12251384
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find the 9th term in 3, -11, -25, -39
Answer:
-53
Step-by-step explanation:
CAN SOMEONE answer this question please
Answer:
x = 18
y = 27
Step-by-step explanation:
Answer:
x = 18
y = 27
Step-by-step explanation:
Cars lose value the farther they are driven. A random sample of
11
1111 cars for sale was taken. All
11
1111 cars were the same make and model. A line was fit to the data to model the relationship between how far each car had been driven and its selling price.
Which of these linear equations best describes the given model?
Based on this equation, estimate the price of a car that had been driven
56
5656 thousand kilometers.
Answer:
y = -0.25x + 40 ; $26,000
Step-by-step explanation:
From the graph attached ;
The regression equation, y could be obtained :
y = mx + c
m = slope = Rise / Run = (y2 - y1) / (x2 - x1)
Slope = (15 - 40) / (100 - 0)
Slope = - 25 / 100
Slope = - 0.25
c = intercept, where the regression line crosses the y-axis, from. The graph, c = 40
The regression equation goes thus :
y = -0.25x + 40 ; y = price of car ; x = number of miles driven
Price of car that has been driven for 56000 miles
y = - 0.25(56) + 40
y = - 14 + 40
y = 26
Hence, price of car is $26,000
2. A wooded area is in the shape of a a trapezoid whose bases measure 128 m and $2 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular from the two bases. Calculate the area of the wooded area after the addition of the watkway
Correction in the Question:
A wooded area is in the shape of a a trapezoid whose bases measure 128 m and 92 m and its height is 40 m. A 4 m wide walkway is constructed which runs perpendicular from the two bases. Calculate the area of the wooded area after the addition of the walkway.
Answer:
The wooded area after the addition of the walkway is 4240 [tex]m^2[/tex].
Step-by-step explanation:
we are given
length of the two bases = 128m and 92m
height of the trapezoid = 40m
the approximate figure of the given trapezoid is given as:
__ __ __ 92 __ __ _
/ | | | \
/ | 40 |4| \
/__ _| __ __ | |__ __ __ __ \
128
Area of a trapezoid = [(a + b)/2] * height, where a and b are representing the bases of the given trapezoid.
Area = [(92 + 128)/2] * 40
= [220/2] * 40
= 110 * 40
= 4400 [tex]m^2[/tex]
Now there is a 4m wide walkway is to be constructed in that trapezoid. The pathway will be a rectangle as it has 4m width and 40m height as it is perpendicular to both the bases.
Area of a rectangle = length * width
Area = 40 * 4
= 160
Since the walkway will reduce the area of the trapezoid as it is constructed upon it therefore the wooded area after the addition of the walkway is
4400 + (-160) = 4240 [tex]m^2[/tex].
Don't understand. Help please?
Answer:
Length is 138 ft, area is 412 ft
Step-by-step explanation:
The length is determined by the perimeter, so add both side of the perimeter together, and you have your length. Area is determined by perimeter + Length, to add both sides of perimeter and length and you get 412 ft.
What is the surface area of this right rectangular prism glass slab with dimensions of 20 inches by 3 inches by 12 inches?
a.576
b.588
c.672
d.648
Answer:
C. 672
Step-by-step explanation:
Answer:
C) 672
Step-by-step explanation:
Is 41.77 a integer?
Answer:
nope, an integer must be a whole number, no fractions / decimals
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
An integer is a whole number or a number that is not a fraction or decimal. So, since 41.77 is a decimal it cannot be an integer. Examples of integers are 41 or -2.
Furaha pushes his rectangle next to Rahma's rectangle to form a new, longer rectangle. Draw an area model to show the new rectangle. Label the side lengths.
Answer:
See attachment
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the new model
From the question;
Furaha's model is: 6 by 4
Rahma's model is: 7 by 4
When Furaha's rectangle is pushed next to Rahma's, the new model becomes: (6 + 7) by 4
i.e. 13 by 4
See attachment 2
Whats the value of x????
Answer:
X = 23
Step-by-step explanation:
oppsosite angles are equal so the brackets equal 90 degrees like the right angle opposite.
90-21 = 69
69 / 3 = 23
x = 23
Answer:
23
Step-by-step explanation:
The equation on the left will equal to 90 due to it being congruent to the angle with the square. Therefore, make the equation out to be 3x+21=90 and subtract 21 from both sides and that will give you 69. Divide 69 by three which will leave you with x=23
A ladder that is 18 ft. long is leaning
against the side of a building. If the angle
formed between the ladder and the ground
is 30°, how far is the bottom of the ladder
from the base of the building?
what is the volume of the prism 8 1/2 m 7 m 4 m
Answer:
Step-by-step explanation:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
Answer:
Step-by-step explanation:
Volume of prism = length * width * height
= 8 1/2 * 7 * 4
[tex]= \frac{17}{2}*7*4\\\\=17 * 7 * 2\\\\= 238 cubic m[/tex]
PLEASE HELP!!
In a geometric sequence, a2=2, a3=12, and a4=72. Which equation can be used to find the nth term of the sequence, an?
an=2⋅10n−1
an=6⋅2n−1
an=13⋅6n−1
an=2n−1
Ik this is late, but people who are looking for the answer can see this.
Answer:
an =1/3*6^n-1
Step-by-step explanation:
You should plug in 2 for n in each equation, which, the correct one should give you 2. Then, to make sure, you plug in 3 in the equations that gave you 2.
Example:
an = 1/3 * 6 ^n-1
Plug in 2.
an = 1/3 * 6 ^2-1
an = 1/3 * 6 ^1
1/3 * 6 = 2
Step 2.
an = 1/3 * 6 ^3-1
an = 1/3 * 6 ^2
1/3 * 36 = 12
Hope this helps.
The correct equation which can be used to find the nth term of the sequence, an is,
⇒ a (n) = 1/3 × 6ⁿ⁻¹
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
In a geometric sequence,
⇒ a₂ = 2, a₃ = 12 and a₄ = 72
Now, From option 3;
The equation is,
⇒ a (n) = 1/3 × 6ⁿ⁻¹
Put n = 2
⇒ a (2) = 1/3 × 6²⁻¹
⇒ a (2) = 1/3 × 6
⇒ a (2) = 2
Hence, This is the correct equation which can be used to find the nth term of the sequence, an.
Thus, The correct equation which can be used to find the nth term of the sequence, an is,
⇒ a (n) = 1/3 × 6ⁿ⁻¹
Learn more about the mathematical expression visit:
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Leo flips a paper cup 50 times and records how the cup landed each time. The table below shows the results. RESULTS OF FLIPPING PAPER CUP Outcome Right-side UP Upside Down On its Side Frequency 10 18 22 Based on the results, how many times can he expect the cup to land on its side if it is flipped 1,000 times? 333 440 550 786
Answer:
The answer is 440
Step-by-step explanation:
I just took the test and got that question right
I WILL GIVE 10 POINTS AND BRAINLIEST WHO EVER ANSWERS FIRST The space capsule is moving up at a speed of 80 miles per hour a few seconds after launch. What is the space capsule's velocity per hour
14.
Mogaka and Ondiso working together can do a piece of job in 6 days. Mogaka
working alone takes 5 days longer than Ondiso. How many days does it take
Onduso to do the work alone?
(3mks)
Answer:
10 days
Step-by-step explanation:
Mogaka and Ondiso working together can do a piece of job in 6 days. Mogaka working alone takes 5 days longer than Ondiso. How many days does it take Ondiso to do the work alone?
Let us represent :
The number of days
Mogaka worked alone = x
Ondiso worked alone = y
Total days worked together = T
Mogaka and Ondiso working together can do a piece of job in 6 days.
Hence,
1/x + 1/y = 1/T
Mogaka working alone takes 5 days longer than Ondiso.
x = y + 5
Therefore:
1/y + 5 + 1/y = 1/6
Multiply all through by (y+5)(y)
= y + y + 5 = (y+5)(y)/6
= 2y + 5/1 = (y+5)(y)/6
Cross Multiply
6( 2y + 5) = (y+5)(y)
12y + 30 = y² + 5y
= y² + 5y - 12y - 30 = 0
= y² - 7y - 30 = 0
Factorise
= y² +3y - 10y - 30 = 0
y(y + 3) - 10(y + 3) = 0
(y + 3)(y -10)= 0
y + 3 = 0, y = -3
y - 10 = 0
y = 10 days
Note that
The number of days Ondiso worked alone = y
Hence, it takes 10 days for Ondiso to work alone
Help! What does the bracket mean and how do I do the questions?
Answer:
maybe it meane 11/a
Step-by-step explanation:
Answer:
The bracket is the binomial.
The definition is: [tex]\binom{n}{k} = \frac{n!}{k!\cdot (n-k)!}[/tex]
Note that [tex]\binom{n}{k} = \binom{n}{n-k}[/tex]
The meaning is "if we have n elements, how many ways are there to choose k of them?" From this definition it should be obvious that [tex]\binom{n}{k} = \binom{n}{n-k}[/tex] - if you're picking k, it's just as many ways as choosing the (n-k) that you're not picking.
The coefficient can be found by realizing that to get x^9, we need to choose (from the full multiplication):
9 brackets to provide x2 brackets to provide the number 3There's [tex]\binom{11}{9}[/tex] ways to do that, so the component for x^9 will be:
[tex]\binom{11}{9} \cdot 3^2 \cdot x^9 = \frac{11!}{2!\cdot 9!} \cdot 3^2 \cdot x^9 = \frac{10\cdot 11}{2} \cdot 3^2 \cdot x^9 = 55 \cdot 9 \cdot x^9 = 495x^9[/tex]
So:
a = 2
Coefficient is 495
8. The probability that a mature hen will lay an egg on a given day is 0.80. Hannah has 6 hens. Using the table, what is the probability that at
least 2 of the hens will lay eggs on a given day?
4
Number of Eggs
Probability
0
0.000064
1
0.002
2.
0.015
3
0.082
5
0.393
6
?
0.246
yo i really need help please in order to pass this i’ll give a brainliest to anyway who knows the correct answer please no links
all i know is that it would not be 13.9
Answer:
12in
Step-by-step explanation:
this is the only subject i'm good at in math XDDD.
find the value of X, round to the nearest 10th
Answer:
4.0731 cm
Step-by-step explanation:
Use pythagorean Theorem which is a^2 + b^2 = c^2 where a and b are the sides of the triangle and c is the hypotenuse, in other words the longest side.
Since x is in line with the center of the circle and is perpendicular with line that measures 15.6 cm we know that one side of the triangle is half of 15.6 or 7.8.
So then we input our known values into the formula and solve for the missing one. The formula looks like this
7.8^2 + b^2 = 8.8^2
solve for b and you get about 4.07431
your very welcome
Answer:
X= 4.1
Step-by-step explanation:
Other answer wasn't rounded.
X= 4.1 cm
Jenica bowls three games and scores an average of 116 points per game. She scores 105 on her first game and 128 on her second game. What does she need to score on her third game to get a mean score of ?
Answer:
230
Step-by-step explanation:230
Find the surface area.
24 in.
40 in.
10 in.
26 in.
NEED HELP ASAP!!
Answer:
200
Step-by-step explanation:
Ariana orders 4 large pizzas and 1 order of breadsticks The total for her order is $34.46. Emily orders 2 large pizzas and 1 order of breadsticks. $18.48 is the total for her order. Determine the order for 1 large pizza and 1 order of breadsticks?
What is the distance between the bakery (b) and the library (c)? Explain using coordinate subtraction
Answer:
The distance between the bakery and the library is the length of BC. The endpoints of this line segment are B(0, 4) and C(3, 4). Because the y-coordinates of both points are the same (4), the length of BC can be found by subtracting the smaller x-coordinate from the greater x-coordinate: BC = 3 - 0 = 3 units. The distance between the bakery and the library is 3 blocks.
Step-by-step explanation:
I did the activity, this is the sample answer.
Ben conducted an experiment to determine the association between the number of hours spent studying per day with GPA. The line of best fit for his data has a slope of 1, with time, in hours, as the independent variable x and GPA as the dependent variable, y. What does a slope of 1 mean in this context?
A) GPA is 1 point every hour.
B) GPA of 1 point is at zero hours.
C) GPA increases by 1 additional point per hour.
D) Time decreases by 1 hour for every GPA point increase.
Answer:
C.
Step-by-step explanation:
Since the slope is 1 meaning it goes up and over by 1 the GPA would increase by 1 every hour
Answer:
c
Step-by-step explanation:
сть
b
d
a
If mza = 2.m2b, mzc = 60', and the right angles are labeled in the figure, which of the following
produce an acute angle? Select all that apply
Answer:
a and c
Step-by-step explanation:
the same ice cream shop is running a sale on cylindrical shaped tubs of ice cream. The cylinder has a radius of 4.5 cm and a height of 18 cm. Find the volume of a tub of ice cream
Answer:
you got this
Step-by-step explanation:
I believe in you
help wrong answers reported
Answer:
65
Step-by-step explanation:
all triangles angles equal 180°
180-72-43=65
-2021
English
g
p
Which angles are corresponding angles? Select all that
apply.
o 21 and 23
5
3
7
6
4
8
26 and 28
22 and 28
25 and 27
22 and 27
23 and 26
Answer:
I'm not too sure what you mean but since there was no image I tried to look up how to tell if angles are corresponding based on angle degree and the most I got was the angles will be equal but only if there is a transversal cur but none of the answers equal each other
Step-by-step explanation:
so what advice I can give you is corresponding angles are usually the same degree but on a different level. like on the first parallel line there is an angle and on the second (or whatever) there is another angle (on the same side of the first) -meaning they will both be on the right or the left- and yeah there you go
if you have any questions comment and I'll try my best to help
