Answer:
The likelihood is [tex]P(p < \^ p) = 0.066807[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p =0.55
The sample size is n = 619
The sample proportion is [tex]\^ p = 0.52[/tex]
Generally the mean of the sampling distribution is [tex]\mu_{x} = p = 0.55[/tex]
The standard deviation is [tex]\sigma = \sqrt{\frac{p(1- p )}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.55(1- 0.55 )}{619} }[/tex]
=> [tex]\sigma = 0.02[/tex]
Generally the likelihood that the administration have obtained a sample proportion as low as or lower than it obtained from its survey is mathematically represented as
[tex]P(p < \^ p) = P(\frac{p- \mu}{\sigma } < \frac{ 0.52- 0.55}{0.02 } )[/tex]
Generally [tex]\frac{p- \mu}{\sigma } = Z(The \ standardized \ value \ of \ p)[/tex]
=> [tex]P(p < \^ p) = P(Z <-1.5 )[/tex]
From the z-table the probability of (Z <-1.5 ) is
[tex]P(Z <-1.5 ) = 0.066807[/tex]
So
[tex]P(p < \^ p) = 0.066807[/tex]
(30 POINTS NEED HELP FAST)
A line has a slope of 2 and goes through the point (4,−3). What is the equation of this line in Standard Form?
−2x+y=−5
2x+y=−5
−2x+y=5
−2x+y=−11
Answer: −2x+y=−11
(4,-3) = −2x+y=−11.
Answer: −2x+y=−11.
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. Assume that the population standard deviation is 2.2 gallons. The mean water usage per family was found to be 15.8 gallons per day for a sample of 669 families. Construct the 90% confidence interval for the mean usage of water. Round your answers to one decimal place.
Answer:
The 90% confidence interval is [tex]15.66< \mu < 15.94 [/tex]
Step-by-step explanation:
From the question we are told that
The population standard deviation is [tex]\sigma = 2.2[/tex]
The sample mean is [tex]\= x = 15.8 \ gallon[/tex]
The sample size is n = 669
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.645 * \frac{ 2.2}{\sqrt{669} }[/tex]
=> [tex]E = 0.1399[/tex]
Generally 90% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex]15.8 - 0.1399 <\mu< 15.8 + 0.1399 [/tex]
=> [tex]15.66< \mu < 15.94 [/tex]
A system of two linear equations is consistent and dependent. What is true about the graph of the equations?
A.
The lines are the same.
B.
The lines are parallel, but have different intercepts.
C.
The lines intersect.
D.
The lines are perpendicular.
Please select the best answer from the choices provided
A
B
C
D
Answer:
The best answer is " The lines are the same " ⇒ A
Step-by-step explanation:
A system of two linear equations can have:
One solution ⇒ 2 intersected lines at a pointAn infinite number of solutions ⇒ same lineNo solution ⇒ 2 parallel linesIf a system has at least one solution, it is called consistent
If a consistent system has exactly one solution, then it is called independent. they are represented by two intersected lines at a pointIf a consistent system has an infinite number of solutions, then it is called dependent. They are represented by the same lineIf a system has no solution, then it is called inconsistent. they represented by two parallel lines
Let us use these facts above to solve our question
∵ A system of two linear equations is consistent and dependent
∴ The system has an infinite number of solutions
∴ The system represented graphically by the same line
∴ The best answer is " The lines are the same "
Main Menu
Solve the equation
Unit 2
- 8c+7= -25
Section 3.2
Section 3.3
Section 9.3
Section 9.5
Section 9.6
Answer:
c = 4
Step-by-step explanation:
Solve for"c" in the following equation:
- 8 c + 7 = - 25
Subtract 7 from both sides:
- 8 c = - 25 - 7
combine like terms
- 8 c = -32
divide both sides by "-8" to isolate c on the left
c = - 32 / (-8)
c = 4
Which answer is it? I dont get it
Answer:
10% of the answer should be 6
Step-by-step explanation:
Larson's Deli orders brisket delivered every month, Last month the order was for 38 pounds and
cost $304, including delivery charges, which are always the same for any size order. The delivery
company charges $38 for delivery. How much will this month's order for 50 pounds cost, including
delivery charges?
A
$350
B.
$388
С
$400
D
$438
Answer: The answer is 388$
Step-by-step explanation:
First we need to know our domain and range. our domain is POUNDS and range is TOTAL COST of the delivery AND briskit. Next, we need to find how much the briskit cost by itself. The brisket is 38 pounds. So to do this, we use need to subtract; y - x = briskit cost. It would look like this if you plug in the units:
304 - 38=266
Now we are going to find how much EACH POUND COSTS. To do this, all we have to do is divide the briskit cost and how much the briskit weighs:
266/38=7
Now that we know how much the briskit cost and how much each briskit weighs, we are going to use the formula y=mx+b so that we can plug in 50 pounds for our x. It would look like this if you plug in the units:
y= 7x+ 38
y= 7(50) + 38= 388$
*Don't forget the dollar sign :) *
Solve for j I will give brainlest anwser
(h-4) / j = k
Answer:
j=h-4/k this is the answer if you are solving for j
Step-by-step explanation:
Company Bloses $1.575 for every employee who quits before 90 days. What is the
total amount the company will lose if 2 employees quit before 30 days, 1 employee
quits on Day 41, and 1 employee quits on Day 100?
Answer:
43
Step-by-step explanation:
1,24,816,3264,12825,651210?
what is the next number
Answer:
3768068
Step-by-step explanation:
idk how i just googled a pattern analyzer
The next number in the sequence is 2420484
Given: The sequence of numbers 1, 24, 816, 3264, 12825, 651210
To find: The next number in the sequence
First we note that the number of digits in each term of the sequence increases by one and is equal to the place of the term in the sequence. So, the first term has 1 digit, the second term has 2 digits, the third term has 3 digits and so on.
The next term in the sequence should be the seventh term of the sequence and should have 7 digits.
Now, the geometric sequence starting from 1 and having a factor of 2 is given by,
1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096,...
Now, we note that the terms of the given sequence are obtained by concatenating the digits of consecutive terms of the above sequence until the required number of digits are reached.
So, the first term, which has a limit of 1 digit, becomes 1
The second term, which has a limit of 2 digits, becomes the concatenation of 2 and 4, that is, 24
The third term, which has a limit of 3 digits, becomes the concatenation of 8 and 16, that is, 816
The fourth term, which has a limit of 4 digits, becomes the concatenation of 32 and 64, that is, 3264
The fifth term, which has a limit of 5 digits, becomes the concatenation of 128 and 256. However, since the fifth term has a limit of 5 digits. So, the term becomes 12825 with the 6 being carried over to the next term.
The sixth term, which has a limit of 6 digits, becomes the concatenation of 6 (carried over from the previous term), 512 and 1024. However, since this term has a limit of 6 digits. So, the term becomes 651210 with the 24 being carried over to the next term.
So, the next term (seventh term) should be the concatenation of 24 (carried over from the previous term), 2048 and 4096. However, this term should have a limit of 7 digits. So, the term should be 2420484 with 096 being carried over to the next term.
So, the next number should be 2420484.
Learn more about patterns of numbers here:
https://brainly.com/question/14060365
I need to know how to write a equation number sentence for my time traveled from 2020 to 2000
Answer:
explain further or send a picture of what you mean and then I can help you
Find two consecutive integers whose product is 12 more than the square of the smaller
number.
Answer: The product of two consecutive even numbers is 12 more than the square of the smaller number. The product of the numbers is 6 and 8 is 48. Square of the smaller number (here 6) is 36. so, 12 + 36 = 48.
hope this helps:)
Step-by-step explanation:
3 over 5 =nothing over 20
ion even know yet
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Micah found the least common multiple of 8 and 12. His work is shown below.
Multiples of 8: 8, 12, 16, 20, 24, 28, . . .
Multiples of 12: 12, 24, 36, 48, 60, . . .
The least common multiple is 12.
What is Micah’s error?
Answer:when he was doing the multipleis of 8 he put 20 when there is no 20
Step-by-step explanation:
Which symbol does a formula start with? = % + ^
Answer:=================================================
Step-by-step explanation:
the first one
Answer:
========================================================================================================================================
Step-by-step explanation:
it's the equal sign
Which number is equal to 10^3
Answer: is 0.001
10^-3 = (1)/(10^3) move the negative exponent to the denominator (1)/(1000) simplify 10^3 in the denominator (1)/(1000) = 0.001
Step-by-step explanation:
Hope you have a great night
Answer: 0.001
Step-by-step explanation:
I don't understand how to explain the answer will you help pls I will give you 50 pts if you help me!
Answer: Whats the question? I dont see
Step-by-step explanation:
582 x 23 ≈ __________ x __________ = 12,000
can someone please help me with this math problem
Answer:
600 x 20 = 12000
Step-by-step explanation:
582 rounds to 600, and 23 rounds to 20.
The equation said the answer was equal to 12,000 and 600 multiplied by 20 equals 12,000.
Suppose a carpenter's ruler was marked in thirty-seconds. What would be the fraction and its decimal equivalent for the mark on the ruler between 29/32 and 30/32?
Answer:
the fraction and its decimal equivalent for the mark on the ruler
= 59/64 = 0.921875
Step-by-step explanation:
Given that;
A CARPENTER 's ruler is marked in thirty seconds
mark on the ruler between 29/32 and 30/32 is the average of the values
we know that average is the summation of all terms divided by the number of appearance of terms
so
= (29/32 + 30/32) / 2
= ((29 + 30) / 32) / 2
= (59 / 32) / 2
= 59 / 64
= 0.921875
therefore the fraction and its decimal equivalent for the mark on the ruler = 59/64 = 0.921875
State the x and Y intercepts of the equation y=2/3x - 1/3
Answer:
x intercept is (1/2, 0).
y intercept = (0, -1/3)
Step-by-step explanation:
2/3x - 1/3 = 0
2/3x = 1/3
x = 1/3 * 3/2
x = 1/2.
y = 2/3(0) - 1/3 = -1/3.
In an office building, 39 offices are currently being rented. This represents 30% of the total units. How many offices are there in the building?
There are __ offices in the building
Answer:
130 offices are in the building
Step-by-step explanation:
first 39/x = 30/100
secondly, you cross multiply 39 x 100 and 30 x x
100 x 39= 3900
3900/30 = 130
Answer:
ANS. = 130
30% or 30/100=39offices
use cross multiplication
100/30 x 39/1 (note 30/100 is inversed to 100/30) math. law
10/3 x 39/1 (using divisor 10)
10/1 x 13/1 (using divisor 3)
10 x 13 = 130
Ans = 130 offices
Ans.Checked
30% of 130 offices
30/100 x 130/1
3/10 x 130/1 (10 as divisor)
3/1 x 13/1 (10 as divisor)
3 x 13 = 39
39 offices
Q.E.D
PLEASE HELP ME!
An angle is 1/3 the measure of its complement. What is the measure of the angle, the complement and the supplement?
Answer:
Angle: 22.5 deg, Complement: 67.5 deg, Supplement: 157.5 deg
Step-by-step explanation:
22.5 is 1/3 of 67.5
so compliment is 67.5.
Supplement is just adding another angle so I chose 7.
I did 22.5 x 7 = 157.5
Another example would be:
Angle: 10 deg, Complement: 30 (because 10 x 3), Supplement: 70 (because 10 x 7)
Hope this helps :)
your friend claims that because you can find the distance from a point to a line, you should be able to find the distance between any two lines. Is your friend correct? Explain your reasoning.
9514 1404 393
Answer:
yes
Step-by-step explanation:
Yes, you can find the distance between two lines using the formula for the distance to a line.
In general, the notion of distance between two lines only make sense when the lines are parallel.
The usual formula for the distance between a point (x, y) and the line ...
ax +by +c = 0
is ...
d = |ax +by +c|/√(a^2 +b^2)
Two lines that are parallel will differ only in their values of 'c'. That is, if the two lines are ...
ax +by +c1 = 0ax +by +c2 = 0we can arrive at the formula by considering a point (x, y) such that it satisfies the equation for line 2: ax +by +c2 = 0. The distance of that point from line 1 will be ...
d = |ax +by +c1|/√(a^2 +b^2)
Since we can add or subtract 0 from anything without changing its value, we choose to subtract 0 from the numerator:
d = |(ax +by +c1) -(ax +by +c2)|/√(a^2 +b^2)
Simplifying gives ...
d = |c1 -c2|/√(a^2 +b^2)
4(1-x)+2x=-3(x+1) solve for X
Answer:
x=-7
Step-by-step explanation:
4(1-x)+2x=-3(x+1)
4-4x+2x=-3x-3
4-2x=-3x-3
-2x=-3x-7
x=-7
Let V be the volume of the pyramid of height 11 whose base is a square of side length 6. Find a formula for the area A of the horizontal cross section at a height y.
Answer:
Base area = 36
Volume of the pyramid = 132
Step-by-step explanation:
Volume of a pyramid = Base Area × Height/3
Base area = Length × Length (since base of the pyramid is a square)
Given the side length of the square = 6
Base area = 6×6
Base area = 36
Given height of pyramid =11
Volume of the pyramid = 36×11/3
Volume of the pyramid = 12×11
Volume of the pyramid = 132
Whats the circumference of a circle object that's 2 meters ?
PLS HELP QUICKLY WILL GIVE BRAINLIEST
Answer:
the first one
Step-by-step explanation: it is your answer because when you solve it i gt that answer i calculated it in a calculator and then showed to the teahcre and said that it was crrect please mark me as brainlist
Given that a=4,b=2 and c=-1, find the value of a-b+c
Answer:
1
General Formulas and Concepts:
Order of Operations: BPEMDAS
Step-by-step explanation:
Step 1: Define
a - b + c
a = 4
b = 2
c = -1
Step 2: Solve
Substitute: 4 - 2 - 1Subtract: 2 - 1Subtract: 1The solution to the system -2x+5y=-15 and 5x+2y=-6 is what
Step-by-step explanation:
−2x+5y=−15 and 5x+2y=−6
Rewrite equations:
−2x+5y=−15;5x+2y=−6
Step: Solve−2x+5y=−15for x:
−2x+5y=−15
−2x+5y+−5y=−15+−5y(Add -5y to both sides)
−2x=−5y−15
−2x−2=−5y−15−2(Divide both sides by -2)
x=52y+152
Step: Substitute52y+152forxin5x+2y=−6:
5x+2y=−6
5(52y+152)+2y=−6
292y+752=−6(Simplify both sides of the equation)
292y+752+−752=−6+−752(Add (-75)/2 to both sides)
292y=−872
292y292=−872292(Divide both sides by 29/2)
y=−3
Step: Substitute−3foryinx=52y+152:
x=52y+152
x=52(−3)+152
x=0(Simplify both sides of the equation)
Answer:
x=0 and y=−3
Every day you collect 8 pennies and keep them in a jar. The first day you have 8, the second day you have 16, etc. How many pennies do you have on the 113th day?
Answer:
904
Step-by-step explanation:
8 x 113 = 904
can yall help me out please.
Answer:
which one equals 12? option C
Step-by-step explanation: