Answer:
0.64%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 75 grams and a standard deviation of 22 grams.
This means that [tex]\mu = 75, \sigma = 22[/tex]
Sample of 144:
This means that [tex]n = 144, s = \frac{22}{\sqrt{144}} = 1.8333[/tex]
More than 80 or less than 70:
Both are the same distance from the mean, so we find one probability and multiply by 2.
The probability that it is less than 70 is the pvalue of Z when X = 70. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{70 - 75}{1.8333}[/tex]
[tex]Z = -2.73[/tex]
[tex]Z = -2.73[/tex] has a pvalue of 0.0032
2*0.0032 = 0.0064.
0.0064*100% = 0.64%
The probability is 0.64%.
the nutrition information on the cereal box says that a 1/2-cup serving provides 210 calories and 6 grams of dietary fiber. at that rate, find how many calories and grams of fiber are in a 1/3-cup serving
Answer:
140 Calories and 4 grams of dietary fiber per 1/3-cup serving.
Step-by-step explanation:
hi you can find this by first doubling the amounts for a 1/2 cup serving
so then it is equal to a full cup serving.
and then divide those by three,
that way it will be equal to 1/3 cup serving.
so
210*2= 420 (lol)
6*2= 12
now divide these numbers by 3
420/ 3 = 140
12/3= 4
so your answers are
140 Calories and 4 grams of dietary fiber per 1/3-cup serving.
I hope this helps! Good luck!
If the outside diameter of a pipe is 1.25 ft and the inside diameter is 0.975 ft how thick is the pipe
Answer:
0.275
Step-by-step explanation:
1.25-0.975=0.275
Estimate the given rotation within 10 degrees:
Answer:
70∘
Step-by-step explanation:
a square has the side length (x+5) units whats is its area
Answer:
25 square units
Step-by-step explanation:
Hope this helps :)
6. Write the formula of circumference
of a circle when its diameterld)
is given.
Step-by-step explanation:
nl the way home now so I'm gonna get
y = 5x + 4 and y =- 5x -6
Answer:
there you o plz can u mark me brainlest
Step-by-step explanation:
5x+4 -5x-6
m=5 m=-5
Please Classify ∠1 and ∠2 using all names that apply
Answer:
Supplimentery angles
If the sum of the measures of two angles is 180 degrees, then the angles are supplementary angles.
Answer:
∠1 & ∠2 are supplementary angles & they form a linear pair. (option D)
What is the value of x in the figure shown below?
The value of X is 35 because the angle 35 measures the same as the angle X, hence their values are the same
Line ABC is a straight line
Which descnbes the relationship between 21 and 22?
21 and 22 are complementary angles.
21 and 22 are supplementary angles.
21 and 22 are vertical angles
21 and 22 are acute angles
Answer:
angle 1 and angle 2 are supplementary angle
Answer: the answer is b
Step-by-step explanation:trust
Which is bigger a population or a sample?
a - Population
b - Sample
c - They are both the same
In a class of 30 students, 12 have a brother and 25 have a sister. There are 2 students who do not have any siblings. What is the probability that a student who has a brother also has a sister?
2d+7/6-d-5/3=0 Tell me the answer
Answer:
D=1/2
Step-by-step explanation:
Multiply the numbers
Subtract the numbers
Combine like terms
put 1/2 to the two parts of the equation
last but not least, simplify
Which features are present in this polar graph?
The features that is present in this polar graph is that A. Symmetry about the polar axis θ = 0.
What is true of the polar graph?The polar graph can be said to have a symmetry about the polar axis which means that theta or θ is equal to 0.
This is because the graph is symmetric about the x-axis. This means that all the lines of symmetry can be seen intersecting the graph at x = 0. This proves that there is indeed symmetry in the polar graph.
In conclusion, option A, θ = 0 is correct.
Find out more on polar graphs at https://brainly.com/question/22692278
#SPJ1
Work out the answer when,
'the largest prime number that is a factor of 35'
is multiplied by
'the smallest prime number that is a factor of 12'.
[2]
Answer:14
Step-by-step explanation:
The largest Prime factor of 35 is 7 (factors of 35 are 1,5,7,35)
the smallest prime factor of 12 is 2 (factors of 12 are 1,2,3,4,6,12)- and 1 is not Prime
7*2=14
Please answer the following question
What does x equal? A. 4 B. 2 C. -2
Answer:
i.d.k
Step-by-step explanation:
someone please answer this!!
Answer:
130
Step-by-step explanation:
41 plus 9 equal 50 then u minus 50 from 180 and get
130
Answer:
b = 40km is the answer.
Step-by-step explanation:
a = 9km
b = ?
c = 41km
By using the Pythagoras theorem,
a² + b² = c²
9² + b² = 41²
81 + b² = 1681
b² = 1681 - 81
b² = 1600
b = 40km
∴ b = 40km is the length of the missing leg.
Joe has $32.40. He wants to buy several comic books that each cost $2.70. How many comic books can he buy?
Answer:
12
Step-by-step explanation:
$32.40/$2.70 = 12 comic books :)
Answer:
Joe has 12 comic books
Step-by-step explanation:
32.40 ÷ 2.70 = 12
check our answer : 2.70 × 12 = 32.40
Therefore, the answer is Joe has 12 comic books
The blue whale, the fastest marine mammal, can travel 60 miles in 2 hours. The fastest fish, the sailfish, can travel 136 miles in 2 hours. How much faster is the sailfish than the blue whale?
A. 76 mph faster
B. 58 mph faster
C. 38 mph faster
D. 26 mph faster
Answer:
c 38
Step-by-step explanation:
i got it right on the quiz
Answer:
C
Step-by-step explanation:
what does x and y =??????
Answer:
x=30. y=60
Step-by-step explanation:
DG is a straight segment so it sums to 180 degrees. ECG is a right angle so 90 degrees. The rest is described as 2x and x. So 3x=90 degrees. x=30. Eh is also a straight segment. since we know x, we know that ECD is 60 degrees. So y+y=120 degrees. 2y=120. y=60.
10.) Find values of x and y for which ABCD must
be a parallelogram.
A x=2 y=4
B x=2 y=6
C x=2 y=16
D x=6 y=2
Answer:
B x=2 y=6
Step-by-step explanation:
For ABCD to be parallelogram, following conditions should be satisfied:
2x - 0 = x + 2 & 4y - 8 = y + 10
2x - 0 = x + 2
2x - x = 2
x = 2
4y - 8 = y + 10
4y - y = 10 + 8
3y = 18
y = 18/3
y = 6
NEED URGENT HELP correct answer person will get brianly and extra pts
Answer:
7
Step-by-step explanation:
7) Rob and Amy are selling cheesecakes for a school fundraiser. Customers can buy New York
style cheesecakes and chocolate marble cheesecakes. Rob sold 11 New York style cheesecakes
and 7 chocolate marble cheesecakes for a total of $266. Amy sold 4 New York style cheesecakes
and 14 chocolate marble cheesecakes for a total of $280. What is the cost each of one New York
style cheesecake and one chocolate marble cheesecake?
9514 1404 393
Answer:
New York style: $14Chocolate Marble: $16Step-by-step explanation:
We can let n and c represent the costs of the New York style and the chocolate marble cheesecakes, respectively. Then the two sales are ...
11n +7c = 266 . . . . . . . Rob's sale
4n +14c = 280 . . . . . . Amy's sale
The ratio of coefficients of c is a "nice" number (2), so we can eliminate the c variable easily to solve this. Dividing the second equation by 2 and subtracting it from the first gives ...
(11n +7c) -(1/2)(4n +14c) = (266) -(1/2)(280)
9n = 126 . . . . . . simplify
n = 14 . . . . . . . . divide by 9
Filling this into the first equation, we have ...
11(14) +7c = 266
7c = 112 . . . . . . . . subtract 154
c = 16 . . . . . . . divide by 7
One New York style cheesecake costs $14; one chocolate marble cheesecake costs $16.
what is 2x2+2i know the answer but you answer it
A. 1
B. 3
C.2
D.6
4. Joe likes sports. He has 4 soccer medals, 1 tennis medal, 3 swimming medals and 5
football medals.
What is the ratio of Joe’s soccer medals to swimming medals?
A. 4 to 1
B. 1 to 3
C. 3 to 5
D. 4 to 3
E. 1 to 12
Answer:
4:3
Step-by-step explanation:
He has 4 Soccer Medals, 3 Swimming Medals
So it would be 4:3
LCM OF (2^3×3×5) and (3×5) is
(a)8
(b)120
(c)40
(d)180
Answer:
120
Step-by-step explanation:
2³* 3 * 5
3*5
LCM = 2³ * 3 * 5 = 8 * 3 * 5 = 120
what is the slope for this graph ?
Answer:
um 6/1?
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
The slope of a line is the change in the line. It is often referred to as the ([tex]\frac{rise}{run}[/tex]), the slope of the line can be found using the following formula,
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
The graph of the given line gives one the points (7, 2), (9, 6). Substitute these points into the given formula and solve for the slope,
[tex]\frac{6 - 2}{9 - 7}[/tex]
Simplify,
[tex]=\frac{4}{2}[/tex]
[tex]=2[/tex]
how do I get the answer to this
) A different rectangle has area 12a² and perimeter 14a
What are the dimensions of this rectangle?
Dimensions:
. by
Answer:
l = 4a and b = 3a
Step-by-step explanation:
Given that,
The area of the rectangle, A = 12a²
Perimeter, P = 14a
The area and perimeter of a rectangle are given by :
A = lb
12a² = lb ....(1)
P = 2(l+b)
14a = 2(l+b) ....(2)
We need to solve equations (1) and (2). After solving we find that.
l = 4a and b = 3a
Hence, the dimensions of this rectangle are 4a and 3a.
Find the perimeter of the semicircular region. Round your answer to the nearest hundredth.
6 in.
9514 1404 393
Answer:
30.85 in
Step-by-step explanation:
The circumference of a circle with a 6" radius is ...
C = 2πr
C = 2π(6 in)
Then the curved portion of a semicircle with that radius will have the length ...
1/2C = 1/2(2π)(6 in) = 6π in . . . . curved length
The straight portion of the boundary of this figure is simply twice the radius, so is ...
2×6 in = 12 in . . . . straight length
__
The perimeter is the sum of the curved and straight lengths:
P = (6π +12) in ≈ 30.8496 in ≈ 30.85 in . . . . figure perimeter