Using the t-distribution, the 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 80% confidence interval, with 20 - 1 = 19 df, is t = 1.3277.
The other parameters are given as follows.
[tex]\overline{x} = 43, s = 6, n = 20[/tex].
Hence, the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 43 - 1.3277\frac{6}{\sqrt{20}} = 41.22[/tex]
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 43 + 1.3277\frac{6}{\sqrt{20}} = 44.78[/tex]
The 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).
More can be learned about the t-distribution at https://brainly.com/question/16162795
Question 7 (Essay Worth 5 points)
(7.03)
An equation is shown below:
6(2x - 11) + 15 = 21
Write the steps you will use to solve the equation and explain each step.
Answer:
x=6
Step-by-step explanation:
The first thing you should start with is distributing the 6 inside the parentheses, which would give us (12x - 66) + 15 = 21. Now we can add like terms on this side of the equation to get: 12x -51 = 21. Add the 51 to the right side to get 12x = 72, then divide both sides by 12 to get x = 72/12 or 6.
x=6
Hope this helps!
Marking this brainliest also helps me out too :)
need help with geometry (number 19)
Answer:
The answer is 65
Step-by-step explanation:
As تھ measure of angles of rectangle is 90
So 90-25 is equal to 65
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEPLEASE HELP NOW I WILL FOLLOW AND GIVE BRAINLIST
Answer:
[tex] \frac{2}{5} [/tex]
Step-by-step explanation:
[tex] \frac{4}{10} = \frac{2}{5} [/tex]
good luck
Answer/Step-by-step explanation:
At least, meaning 2 1/2 or more
Now, I'm not exactly sure how they want it written so it could be two answers.
4/10
OR
4
Hope this helps :)
Solve for x. Round to the tenths place. Can somebody help
Answer:
12.12
Step-by-step explanation:
7^2+x^2=14^2, as by the Pythagorean theorem.
49+x^2=196,
x^2=147,
square root of 147;
it's close to 144,
thus, 12.12
I WILL GIVE BRAINLYEST
Rectangle PQRS is plotted on a coordinate plane. The coordinates of P are (– 1, 4) and the
coordinates of Q are (– 1, – 4). Each unit on the coordinate plane represents 1 centimeter, and
the area of Rectangle PQRS is 64 square centimeters. Find the coordinates of Points R and S
given these conditions:.aPoints R and S are to the left of Points P and Q.bPoints R and S are to the right of Points P and Q
Answer:
See belowStep-by-step explanation:
Given points P and Q have same x-coordinate but different y- coordinates.
The distance between P and Q is the difference of y- coordinates:
PQ = 4 - (-4) = 8 units = 8 cmThe area is 64 cm², it means the adjacent sides are
PS = QR = 64/8 = 8 cma)
If the points R and S are to the left, their coordinates are
S = (-1 - 8, 4- 0) = (- 9, 4)R = (-1 - 8, - 4 - 0) = (- 9, -4)b)
If the points R and S are to the right, their coordinates are
S = (-1 + 8, 4 + 0) = (7, 4)R = (-1 + 8, - 4 + 0) = (7, -4)Answer:
Points R and S are to the left of Points P and Q
R = (-9, 4)
S = (-9, -4)
Points R and S are to the right of Points P and Q
R = (7, 4)
S = (7, -4)
Step-by-step explanation:
Given coordinates:
P = (-1, 4)Q = (-1, -4)Points P and Q have the same x-value.
The vertical distance between these two points is:
[tex]\begin{aligned}\implies \sf y_P-y_Q & =\sf 4-(-4)\\ & =\sf 4+4\\ & =\sf 8\:units \\ & =\sf 8\:cm\end{aligned}[/tex]
Area of a rectangle = width × length
If the area of the rectangle PQRS is 64 cm² then:
[tex]\begin{aligned} \implies \sf 64 & = \sf width \times 8\\\implies \sf width & = \sf \dfrac{64}{8}\\\implies \sf width& = \sf 8 \: cm \end{aligned}[/tex]
This means that the y-values of points R and S will be the same as points P and Q, but the x-values will either be 8 less or 8 more.
Points R and S are to the left of Points P and Q
R = (-1 - 8, 4) = (-9, 4)
S = (-1 - 8, -4) = (-9, -4)
Points R and S are to the right of Points P and Q
R = (-1 + 8, 4) = (7, 4)
S = (-1 + 8, -4) = (7, -4)
A simple random sample of earthquake depths yields the following:
n=600, x=5.82 km, and s=4.93 km
use a 0.01 significance level to test the claim of a seismologist that these earthquakes are from a population with a mean equal to 5.00km
The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region.
Test-Static tData;
mean = 5.82s = 4.93n = 600Let's calculate the t-value
[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } }[/tex]
Substitute the values into the equation and solve;
[tex]t = \frac{x - \mu}{\frac{s}{\sqrt{n} } } \\t = \frac{5.82 - 5}{\frac{4.93}{\sqrt{600} }} \\t = \frac{0.82}{0.201} \\t = 4.079[/tex]
The t-value is 4.079.
The allowed significance value = 0.01
The degree of freedom is n -1, which becomes 600 - 1 = 599.
The critical value becomes 2.584 for two tailed test since we have to reject the null hypothesis, t >2.584 or t < -2.584 test stat lie in the rejection region, we have to reject the null hypothesis or claim incorrect.
Learn more on t-test here;
https://brainly.com/question/6501190
a
Write a rule that Linda can use to figure out how many cups of chocolate she needs for any
number of cups of cream when making Super Truffles.
Answer:
Multiply the number of cups of cream by two and a half.
Please please help me !
Thank you for the help.
Point and brainliest
1. no
2. no
3. strong
4. positive
this is what i think is right. lmk which is wrong :)
Sammy is classifying quadrilateral EFGH. How can she use coordinate geometry to determine whether EFGH is a rectangle?
E(7, 10), F(4, 7), G(6, 5), H(9, 8)
Sammy can use the distance formula to show opposite sides are equal and the slope formula to show that consecutive sides have opposite reciprocal slopes.
Sammy can use the distance formula to show opposite are perpendicular and the slope formula to show that consecutive sides are equal.
Sammy can use the distance formula to show that all sides are equal and the slope formula to show that consecutive sides have the same slope.
Sammy can use the distance formula to show that all sides are parallel and the slope formula to show that consecutive sides are equal.
The true statement about the quadrilateral will be (a) Sammy can use the distance formula to show opposite sides are equal and the slope formula to show that consecutive sides have opposite reciprocal slopes.
How to determine the true statement?The coordinates are given as:
E(7, 10), F(4, 7), G(6, 5), H(9, 8)
To determine if the quadrilateral EFGH is a rectangle, the following statements, must be true.
Opposite sides must be congruent.
Opposite sides must have equal slopes.
Adjacent sides must have opposite reciprocals as their slopes.
Therefore, The above highlight means that the true statement is (a)
Read more about quadrilaterals at:
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Answer:
A- Sammy can use the distance formula to show opposite sides are equal and the slope formula to show that consecutive sides have opposite reciprocal slopes.
Step-by-step explanation:
Please help asap !!!!
C
Step-by-step explanation:
You do 5 - 2 = 3 and -y = -x so the answer would be C.
Find the missing side of the right triangle. Leave answer in
simplest radical form.
If the legs of a right triangle are 6 and 8, then the hypotenuse
is
a 40
b 30
C 20
d 10
Altitude (AB) = 6cm
Base (BC) = 8cm
To FindHypotenuse (AC) = ?
[tex] \fbox \text{According To Pythagoras Theorem = }[/tex]
[tex] \text{(Hypotenuse)² = (Altitude)² + (Base)²}[/tex]
Inserting The Values
[tex] \text{(Hypotenuse)²} =( {6})^{2} + (8) {}^{2} [/tex]
[tex] (\text{AC}) {}^{2} = (6) {}^{2} + (8) {}^{2} \\ \implies \text{(AC)} {}^{2} = 36 + 64 \\ \implies\text{AC} = \sqrt{100} \\ \implies\text{AC} = 10 \\ \\ \therefore \text{Hypotenuse (AC)} = 10 \text{cm}[/tex]
Correct Option D= 10cm
Hope this helps7, 10, 13, 23, 36, 55, 67
Pt A
Which of these puts the correct classification of the numbers as prime or composite?
A) Prime: 10, 13, 36, 67
Composite:7, 23, 55
B) Prime:7, 15, 55, 67
Composite:10, 36, 23
C)Prime:10, 36, 55
Composite:7, 13, 23, 67
D) Prime:7, 13, 23, 67
Composite:10, 36, 55
Pt B
Which of these are composite numbers?
A)11 and 12
B)28 and 29
C)31 and 32
D)44 and 45
Answer:
Pt A: D. Pt B: D
Step-by-step explanation:
You can multiply 5x2 which easily equals 10. 6x6 equals 36 and you cannot multiply anything other than one and itself for 7, 13, 23, or 67. for part B, you can multiply 4x 11 to equal 44 and you can multiply 9x5 to equal 45 so it would be composite
44 and 45 are composite numbers.
What are prime and composite numbers?A prime number has only two factors, itself and one.
A composite number has at least three factors, and sometimes a lot more.
1. Prime:7, 13, 23, 67
Composite:10, 36, 55
As, 7, 13, 23 and 67 have only two factors : one and number itself
and 10, 36, 55 have more than 2 factors like 2.
2. 44 and 45 both have more than 2 factors.
Learn more about this concept here:
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In parallelogram ABCD, mLA
4x + 20 and m2C = x + 26
Find the value of x.
Then find the measure of LA.
Answer:
Step-by-step explanation:
In a parallelogram, opposite angles are congruent.
∠A = ∠C
4x + 20 = x + 26
Step 1: To find the valu of 'x', first subtract 20 from both sides
4x = x + 26- 20
4x = x + 6
Step2: Now, subtract 'x' from both sides
4x -x = 6
3x = 6
Step:3: divide both sides by 3
x = 6/3
x = 2
∠A = 4*2 + 20
= 8 + 20
∠A = 28°
8. An angle that contains 126° 32' is a/an Angle
angle.
A. straight
B. obtuse
C. right
D. acute
Answer:
B.
Step-by-step explanation:
A straight angle is exactly 180°
An Obtuse angle is more than 90°, but less than 180.
A right angle is 90°
An acute angle is less than 90°
PLS ANSWER THIS QUESTION
I WILL MARK BRAINLIEST FASTTTTT
A factory produces 72 pairs of
legging 6 minutes. At the same rate,how many pairs of leggings will the factory produce in 8 minutes?
Answer:
96 pairs
Step-by-step explanation:
72 pairs / 6 minutes will simplify to 12 pairs per minute.
Then (12 pairs / minute)(8 minutes) =
96 pairs
can someone please help me with this math problem
Answer:
I think the correct answer is A
Answer:
A
Step-by-step explanation:
Plot the points on the coordinate plane in order to find out which one is the correct polygon.
In this case, A has all of the correct points and is therefore the correct answer.
Hope this helps!
At Silver Gym, membership is $30 per month, and personal training sessions are $35 each. At Fit Factor, membership is $60 per month, and personal training sessions are $25 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Answer: 5 personal training sessions
Step-by-step explanation:
Given only 1 month, then set the 2 equations equal to each other, given that x=# of personal training sessions:
25+45x = 75 + 35x
-25-35x -25-35x
So, 10x=50; divide both sides by 10, to get:
5, so, 5 personal training sessions per month to make the 2 costs equal to one another.
charlie stands at point A while holding the control line attached to a model airplane. the plane travels 120 feet counterclockwise from point b to point c about how long is the control line
The counterclockwise direction of the airplane implies that it moves in the opposite direction
The control line could be 60 feet long
How to determine the length of the control line?The question is incomplete, as the figure that represents the control line and other parameters are not given.
However, a possible solution is as follows.
From the question, we understand that the airplane travels 120 feet counterclockwise.
The counterclockwise direction could represent that points B and C are on either sides of point A, such that:
AB = AC = 0.5* BC
So, we have
AB = 0.5* 120
AB = 60 feet
Hence, the control line could be 60 feet long
Read more about lengths at:
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What is the mode of the data set? 78, 82, 91, 78, 92, 77, 80, 74, 81
A. 92
B. 78
C. 85.5
D. 77
Answer: B
Answer:
B. 78
Step-by-step explanation:
78 It is the most frequent data (2)
Hope this helps
d. A bag of fertiliser is made up of nutrients: nitrogen, phosphorus and potassium in the ratio 3:1:2. If the bag of fertiliser contains 14 kg of phosphorus, calculate how much nitrogen it contains. [3]
42
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Step-by-step explanation:[tex]14\times 3\div 1[/tex]
______________________________________________
Calculate
[tex]14\times 3[/tex]
______________________________________________
Calculate the product or quotient
[tex]42[/tex]
I hope this helps you
:)
Please help :) (its for my friend, cause she wont belive me!)
If your friend has 7 apples, you take 3. How much do you have?
Answer:
the answer its 3 :)
Step-by-step explanation:
matematicas amigo
5
Type the correct answer in the box. Use numerals instead of words.
New York City has a population of approximately 8.8 million people with a population density of approximately 29,300 people per square mi
What is the approximate area of New York City to the nearest square mile?
The area of New York City is approximately
square miles.
Answer:
300
Step-by-step explanation:
For the following pairs, indicate which do not comply with the rules for setting up hypotheses, and explain why. (Select all that apply.)
(a) H0: ? = 15, Ha: ? = 15
This pair complies.This pair does not comply because ? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
(b) H0: p = 0.5, Ha: p > 0.6
This pair complies.This pair does not comply because p is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
(c) H0: ? = 121, Ha: ? < 121
This pair complies.This pair does not comply because ? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
(d) H0: ? = 123, Ha: ? = 125
This pair complies.This pair does not comply because ? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
(e) H0: p? = 0.2, Ha: p? ? 0.2
This pair complies.This pair does not comply because p? is not a population characteristic.This pair does not comply because both hypotheses use an equal sign.This pair does not comply because the two hypotheses use different numbers.
It can be inferred that H0: ? = 15, Ha: ? = 15 doesn't comply because both hypothesis use an equal sign.
How to illustrate the hypothesis?From the information, H0: p = 0.5, Ha: p > 0.6 doesn't comply because the two hypothesis use different numbers.
Furthermore, H0: ? = 121, Ha: ? < 121 shows that the pair complies. Also, H0: ? = 123, Ha: ? = 125 doesn't comply as they use the equal sign and different numbers.
Lastly, H0: p? = 0.2, Ha: p? ? 0.2 doesn't comply because p is not a population characteristic.
Learn more about hypothesis on:
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Please help! First answer correct BRAINLIEST
Answer:
8.......................
Step-by-step explanation:
It's clear that the figure is rhombus (because diagonals make right angle).
Rhombus area formula: (AC×BD)÷2
So if we have area and one diagonal then it's easy to find another diagonal.
S=AC×BD÷2
14.5×BD÷2=58
14.5BD=58×2
14.5BD=116
BD=116÷14.5
BD=8
Go math help very easy points
Answer:
5, 10, 11, 12, 13, 14, 23, 28, 32, 32, 36, 41, 51, 63, 65
alsooo...
wHy cOUldn'T u dO It
OoooOooOOooooOOOO
brainly is NOT a cheat sheet :)
HELP ASAP.
39 BRAINLY POINTS PLUS BRAINLY USER
Answer:
1
Step-by-step explanation:
Given:
m = 12 n = 1/4Substitute the values into the expression:
1/2(m - 4) × n
⇒ 1/2(12 - 4) × 1/4
Simplify the expression:
⇒ 1/2(8) × 1/4
⇒ 4 × 1/4
⇒ 4 ÷ 4
⇒ 1 (Option B)
Answer:
D. 1
Step-by-step explanation:
A recipe called for using 5 1/8 cups of flour before baking and another 8 7/9 cups after baking. What is the total amount of flour needed in the recipe?
Answer: 13 [tex]\frac{65}{72}[/tex]
Step-by-step explanation:
This question is asking us to find the total flour used, so we will add the two amounts together.
5 1/8 + 8 7/9
-
5 + 8 = 13
1/8 + 7/9 = 9/72 + 56/72 = 65/72
-
13 + 65/72 = 13 [tex]\frac{65}{72}[/tex]
The recipe calls for 13 [tex]\frac{65}{72}[/tex] cups of flour.
A law firm charges $450 per hour for its services. To raise revenues, the firm increases its fees by
10%. What is the new rate that the firm charges per hour?
Answer:
The correct answer would be $495 per hour
Step-by-step explanation:
The equation would be
450 divided by 10= 45
=450+45=495
= $495
ind the area of the figure.
A) 14 cm2
B) 50 cm2
C) 60 cm2
D) 64 cm2
Answer:
D) 64
Step-by-step explanation:
(10 x 12) - (8 x7) = 120-56 = 64
answer: 64 square cm
