Slope (m)= y\x= 9/2 = 4.5
your equation for the line is
y=4.5x+3.5
Describe the sampling distribution of Phat. Assume the size of the Population is 25,000. N = 500 P = 0.4 Determine the Mean of the sampling distribution of Phat. Determine the standard deviation of the sampling distribution of Phat.
Answer:
0.022
Step-by-step explanation:
Given that :
Population size = 25000
n = 500 ; p = 0.4
Size of random sample (n) = 500
5% of population size : 0.05 * 25000 = 1250
Distribution is normally distributed since n < 5% of population size
Hence, the mean of the distribution = p = 0.4
Standard deviation = √((pq) /n)
q = 1 - p ; q = 1 - 0. 4 = 0.6
Standard deviation = √((0.4 * 0.6) /500)
Standard deviation = 0.0219089
= 0.022
Suppose a box contains 10 coins, where three of them are type-A and seven of them are type-B. The probability of head is 0.4 if we toss a type-A coin and 0.6 for a type-B coin. One person chooses one coin at random and tosses it three times. What is the probability that this coin is type-A if the outcome is two heads out of three tosses?
Answer:
0.222
Step-by-step explanation:
Given that:
For Type A coins = 3
The probability of head in a type A coin i.e. (p) = 0.4
Then, the probability of getting a tail (q) = 1 - p = 1 - 0.4 = 0.6
For Type B coins = 7
The probability of head in a type B coin i.e. (p) = 0.6
Then, the probability of getting a tail (q) = 1 - p = 1 - 0.6 = 0.4
One person who tosses a coin three times get a probability of obtaining a head twice.
Using, the formula:
=[tex]^nC_r \times p^r \times q^{n-r}[/tex]
For Type A coin;
The probability of getting two heads in three tosses is:
[tex]= ^3C_2 \times 0.4^2 \times 0.6^{1}[/tex]
[tex]=\dfrac{3!}{2!(3-2)!} \times 0.4^2 \times 0.6^1[/tex]
= 0.288
For Type B coin;
The probability of getting two heads in three tosses is:
[tex]= ^3C_2 \times 0.6^2 \times 0.4^{1}[/tex]
[tex]=\dfrac{3!}{2!(3-2)!} \times 0.6^2 \times 0.4^1[/tex]
= 0.432
Since we have two heads out of three tosses, the probability that the coin is type A is = (P) of choosing coin A × (P) of obtaining two heads from three tosses) / total probability of getting two heads from three tosses.
However;
(P) of choosing coin A = 3/10 = 0.3
(P) of choosing coin B = 7/10 = 0.7
∴
Given that, we obtain two head from three tosses, the (P) that the coin type is A is:
[tex]= \dfrac{(0.3 \times 0.288)}{ (0.3 \times 0.288 + 0.7 \times 0.432)}[/tex]
[tex]= \dfrac{(0.0864)}{ (0.0864 + 0.3024)}[/tex]
= 0.222
What is the nearest hundred for 0.8 divided by 0.6?
Answer:
_
1.3
Step-by-step explanation:
the line is above the three because it repeats
it takes two pizzas to feed five people how much pizza does it take to feed 45 people
Answer:
18 pizzas
Step-by-step explanation:
5x9=45
2x9=18
Welcome to Brainly :)
Answer:
18
Step-by-step explanation:
if it takes 2 pizzas to feed 5 people you 5 by 9 to get 45. You do the same with the 2 and 2 * 9 = 18
can someone help me with this?
Answer:
give more information
Step-by-step explanation:
sorry
a rectangular parking lot has length that is greater than the width the area of the parking lot is 160 square yards find the length and the width use formula area=length*width the parking lot length
Which expression would be easier to simplify if you used the associative property to change the grouping?
A. 85 + (120 + 80)
B. [-40 + (60)] + 52
C. (2 + 3/7) + 4/7
D. 4 + (1.2 + (-0.2))
Answer:
C
Step-by-step explanation:
In A and B, the numbers involved in expressions are integers.
Hence, they can be easily added or subtracted.
In C, the numbers involved in expression are fractions which are not grouped together.
They can be added but by using associative property, it becomes much more easier.
That is, grouping fractions.
Answer:C
Step-by-step explanation:
A bike path is 3 miles long. there are distance markers every path one fourth mile to the end of the path. which number line correctly models this situation and the total number of distance markers?
Given :
A bike path is 3 miles long. there are distance markers every path one fourth mile to the end of the path.
To Find :
Which number line correctly models this situation and the total number of distance markers.
Solution :
It is given that their are markers every 1/4 part of mile.
So, their are 4 markers per mile.
Numbers of markers in 3 miles long path is :
[tex]n = 3\times 4\\\\n = 12[/tex]
Therefore, the total number of distance markers in 3 mile path is 12.
Hence, this is the required solution.
why was mom now saying that Augie did not have to go to school
Answer:
Is there suppose to be a picture?
Step-by-step explanation:
Answer:
Because she liked Augle more than the other child
Step-by-step explanation:
She didn't want him to go to school so that she could spend the day with her favorite child
Explain why the rearranged expression is easier to work with
In a certain fraction, the denominator is less 7 than the numerator. If 3 is added to both the numerator and denominator, the resulting fraction is equal to 15/8
. Find the original fraction.
Answer:
original fraction =12/5
Step-by-step explanation:
let x = numerator
therefore
x+3/x-7+3 =15/8
x+3/x-4 =15/8
8(x+3)=15(x-4)
8x+24=15x-60
84=7x
84/7=x
12=x
therefore original fraction = 12/5
1.5.3
6x+7
To solve for the lengths of the right triangle sides, which equation is correct?
A. x² = (4x - 1)² + (6x + 7)?
B. x2 +(6x + 7)2 = (4x - 1)2
c. x² = (4x - 1)² – (6x + 772
D.x² + (4x - 1)2 = (6x + 7)?
4x-1
To solve for the lengths of the right triangle sides, equation is correct.
(Type A, B, C, or D.)
Answer:
A. [tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]
Step-by-step explanation:
The question seems to be incomplete. However, we'll make the following assumption.
[tex]Opposite = 6x + 7[/tex]
[tex]Adjacent = 4x - 1[/tex]
[tex]Hypothenuse = x[/tex]
Pythagoras theorem states that:
[tex]Hypothenuse^2 = Opposite^2 + Adjacent^2[/tex]
Substitute values for Hypothenuse, Opposite and Adjacent.
This gives
[tex]x^2 = (6x + 7)^2 + (4x - 1)^2[/tex]
or
[tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]
From the list of given options.
A answers the question
Solve for u, where u is a real number. Square root of u+6=9 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".
Answer:
The answer is 3+6=9. u=3 .
3) A is between B and C. If BC= 8x + 5, AB= 2x + 4, and AC= 3x + 7, then
find AB
Answer:
AB = 8
Step-by-step explanation:
A is between B and C. If BC= 8x + 5, AB= 2x + 4, and AC= 3x + 7, then find AB
Step 1
Find x
BC = AB + AC
8x + 5 = 2x + 4 + 3x + 7
Collect like terms
8x - 2x - 3x = +4 + 7 - 5
3x = 6
x = 2
Step 2
Find AB
= AB= 2x + 4
AB = 2(2) + 4
AB = 4 + 4
AB = 8
Translate this equation into a verbal sentence.
4(a + b) = 9a
Answer:
Four times a plus b equals nine times a
What is the value of tan c
Answer:
In trigonometry, the tangent of an angle in a right-angled triangle is equal to the ratio of opposite side and the adjacent side of the angle. Tan 30 degrees is also represented by tan π/6 in terms of radians. The exact value of tan 30° is 0.57735.
In a graph the constant of proportionality is the y=____when x= ____
Answer:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
!!HELP!! What is the rule for finding the distance of a point when the points are in the different Quadrants?
Answer:
You can find the distance between two points in different quadrants having the same x-coordinates by finding the sum of the absolute values of the y-coordinates.
Step-by-step explanation:
in need help wihe lateral asn and total surface area
write four equivalent fraction of -3/7
Answer:
-6/14, -12/28,-24/56, and -48/112.
Hope this helps plz hit the crown and friend me :D
Answer:
6/14, 9/21, 12/28, 15/35
Are 9.91 and 9.0 equivalent decimals?
Answer:
no
Step-by-step explanation:
there is a difference between these two integers as 9.91 is 0.01 more then 9.0,
they are therefor not equivalent
30% of 52 equals what. I need help please and thank you
Answer:
15.6
Step-by-step explanation:
Give brainliest if correct pls
Answer:
15.6
Step-by-step explanation:
When evaluating (6 x + 9) squared minus 5 for x = 1, the given value of 1 is substituted for what part of the expression?
the exponent
the constant
the variable
any numerical value
Answer:
the variable
Step-by-step explanation:
i got it right on edge :)
Answer:
the variable
Step-by-step explanation:
Edg 2021
Im only have 10 minutes please. Is math
If X is a normally distributed random variable with mean .30 and standard deviation .06 : (draw appropriate diagrams) a) Find P(X > .25) b) P(X < .10) c) How would you describe the largest 5% of all values of X?
Answer:
0.34 x 0.38
=0.1292
Step-by-step explanation:
Hopefully this helps, if not HMU and I will try my best to get you a better answer! :)
Good luck! <3
round 23.2736 to the nearest thousandth
Answer:
23.274
Step-by-step explanation:
Here, rounding to the nearest thousandth means rounding to the nearest 0.001.
Hence, due to the digit being rounded having a number larger than 5 after it (0.2736), it is rounded up.
Hope this helped!
The required round-off of the number 23.2736 is 23.274.
To determine the round of the number 23.2736 to the nearest thousandth.
The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.
Here,
The given number 23.2736,
The number next to the thousandth place is 6 which is greater than 5 than the number 6 can be pushed to 10 and the number 1 will be added to the number in the thousandth place which is 3.
So the required round-off would be given as 23.234.
Thus, the required round-off of the number 23.2736 is 23.274.
Learn more about round the decimal here;
brainly.com/question/867784
#SPJ2
An office building has 66000 of net income and sold for 550000. What is the rate of return
Answer:
The rate of return will be: 12%
Step-by-step explanation:
Given
Net income = 66000As the building was sold for 550000
Market value = 550,000Return can be calculated by dividing the market value by the net income using the formula
Return = Net income / Market value
= 66000 / 550,000
= 0.12 which is 12%
Therefore, the rate of return will be: 12%
Distributive property is a property of equality?
- True
-False
Answer:
Its True
Step-by-step explanation:
PLEASE ANSWER FAST ITS UNIT TEST
The graph of the equation y = ax2, where a is >0, is shown below
If a is multiplied by -3, the graph of the new equation is
A.
wider and opens downward
B.
wider and opens upward
C.
narrower and opens downward
D.
narrower and opens upward
Answer:
a or c
Step-by-step explanation:
If it takes Andre 4 minutes to swim five laps how much will it take him to swim 22 laps at the same speed
Answer:
17.6 minutes
Step-by-step explanation:
[tex]\frac{4}{5} = \frac{x}{22}[/tex]
[tex]5x=22[/tex]
[tex]x=\frac{22}{5}[/tex]
[tex]4(\frac{22}{5} ) = \frac{88}{5} = 17.6[/tex]