Answer:
Explanation
temperature in a town during day=12.5The temperature in a town is 12.5°F
temperature at night is -23.3°F
difference -23.3°F+12.5°F
=. -10.8
If the mean of a normal distribution is 20 and its standard deviation is 3, between which values would 99.5 percent of the data observations be expected to fall?
99.5% of the data observations should fall between 11.579 and 28.421 according to expectations for the given normal distribution.
What is a normal distribution?
A continuous probability distribution for just a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.
According to the question, if the lower limit is a and the upper limit is b, then 99.5 percent of values fall between a and b.
part of values below a certain threshold, a= (1-0.995)/2 = 0.0025
Mean,m =20
Standard deviation,s = 3
Z = (X – m) / s
P(x<Z): 0.0025
P(x<Z) = 0.0025 can be determined for Z score.
according to the usual table, Z = -2.807
X = Zs+m
(-2.807 * 3) +20= 11.579
Lower limit = 11.579
Part of values that are less than b is equal to 0.995 + 0.0025 = 0.9975.
P(x<Z): 0.9975
Z score for which P(x<Z) = 0.9975 can be found
from the normal table as, Z = 2.807
X = Zs+m
(2.807 * 3) +20= 28.421
Upper limit = 28.421
99.5% of the data observations should fall between 11.579 and 28.421 according to expectations for the given normal distribution.
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Q. 2
Find the missing number 4, 5, 16, ?,
when average (mean) is 8 ?
Answer:The missing number is 7
Step-by-step explanation:
if 4+5+16 is 25 then you will need 7 more to make it 32 so you can divide by 4 and get 8
solve for x and y
(7y-20)
(5x-38)
(3x-4)
What is the solution to |14|-|-14|
Answer: The solution to |14|-|-14| is 0
Answer:
The answer is 0
Step-by-step explanation:
absolute value of 14 and -14 is 14 and 14 minus 14 equals 0
sam ran 63,756 feet in 70 minutes. what’s sams rate in miles per hour
Answer:
63,756 ft / 70 min
You plan on going golfing this weekend with a friend. you can either go to your favorite course which is 14 miles north of your house or to your friends favorite course which is 14 miles south of your house. write an absolute value inequality that represents all the distances you may be from your house
An absolute value inequality that represents all the distances you may be from your house is -14 ≤ x ≤ 14.
Inequality:
Basically, inequality is the relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given,
You plan on going golfing this weekend with a friend. you can either go to your favorite course which is 14 miles north of your house or to your friends favorite course which is 14 miles south of your house.
Here we need to write an absolute value inequality that represents all the distances you may be from your house.
Consider your house is in the center.
So, both sides you have the Golf course.
So, it can be written as
-14 for north side one and 14 for the south side one.
And let x be the distance between the house and the golf course.
So, it can be written as the inequality,
=> -14 ≤ x ≤ 14.
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48,782 x 16
Answer with Evidence
PPPLSS GIVE ME A FAST RESPOND IM IN CLASS RN AND MY TEACHER IS READING OUR RESPONSES PLLSSSSS
1. (2x - 3)² = 18
2. 2 (5x + 2)² = 64
solve using Quadratic Equation
1) The solution to the given quadratic equation is; x = ¹/₂(3 ± 3√2)
2) The solution to the given quadratic equation is; x = 5/6 or -2
How to find the roots of quadratic equations?
1) (2x - 3)² = 18
To fid the value of x, we can solve by first taking the square root of both sides to get;
√(2x - 3)² = ±√18
Add 3 to both sides using addition property of equality to get;
2x - 3 = ±3√2
2x = 3 ± 3√2
x = ¹/₂(3 ± 3√2)
2) 2(5x + 2)² = 64
To fid the value of x, we can solve by first dividing both sides to get;
(5x + 2)² = 32
Take square root of both sides to get;
(5x + 2) = ±8
Subtract 2 from both sides using subtraction property of equality to get;
5x + 2 = ±8
5x = ±8 - 2
5x = 6 or 5x = -10
x = 5/6 or -2
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graph g(x) = -3|x+5|-1. Describe the transformations of the parent function f (x) =|x| that produce the graph g(x).
Answer:
horizontal shift 5 units left
Vertical shift 1 unit down
reflection on the x-axis: Reflected
Vertical stretch: stretched
Step-by-step explanation:
4=2x+y
-6x-3y=-12
Elimination
Answer:
infinitely many solutions
Step-by-step explanation:
4=2x+y
-6x-3y=-12
First, line up the variables in the right place
4=2x+y
-12=-6x-3y
Choose the variable you want to eliminate, I will do x
Multiply everything in the first equation by 3
3(4)=(2x+y)3
-12=-6x-3y
Simplify
12=6x+3y
-12=-6x-3y
If we combined everything, it would all cancel
This means there are infinitely many solutions
What’s 0.076952 to its 3dp
Answer: Original value: 0.076952
Value (with 3 decimal places): 0.077
Step-by-step explanation: hope this helps
Which fraction is equivalent to this decimal
Answer:
1/7
Step-by-step explanation:
You can just divide all the possible answers.
1/9 = 0.1111111 (1 repeating
1/7 = 0.142857142857
1/11 = 0.090909090909 (repeating)
1/14 = 0.0714285714286 (repeating)
one advantage of the experimental method over the correlational method is that the experiment , but the correlational study does not.
The experimental method has one advantage over the correlational method in that it "determines cause and effect," whereas the correlational study does not.
What is defined as correlational method?Quantitative methods are used in both experimental and correlational research to investigate interactions between variables. However, there are significant differences with how data is gathered as well as the conclusions that can be drawn.
A correlational research design looks into interactions between variables without allowing the researcher to control or manipulate any of them.A correlation is a measurement of the strength and/or direction of a relation between two (or more) variables. A correlation's direction may be positive or negative.What is defined as experimental method?Experimental research is scientific research that employs two sets of variables. The first set serves as a constant against which the differences in the second set are measured. Experimentation is used in quantitative research, for example.
If you lack sufficient information to back up your decisions, you should first establish the facts. Experimental research collects the information needed to make better decisions.Experimentation is used in any research done under scientifically acceptable conditions.To know more about the correlational method, here
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Darren is purchasing a car that costs $10,000. He is taking out a simple interest loan at an annual rate of 3%. If he makes monthly payments over a period of 6 years, how much is his monthly payment?
$138.89
$163.89
$168.92
$180.12
well, let's take a peek, hmmm 10000 bucks at 3% over 6 years hmmm
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$10000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ t=years\dotfill &6 \end{cases} \\\\\\ A=10000[1+(0.03)(6)] \implies \boxed{A = 11800}~\hfill \cfrac{\stackrel{total}{11800}}{\underset{months}{72}}\approx \underset{per~month}{163.89}[/tex]
Answer:
B
Step-by-step explanation:
i'm pretty sure it's right but could be wrong
A spherical tank has a capacity of 750 gallons. using the fact that 1 gallon is about 0.1337 ft3, find the radius of the tank (to the nearest hundredth of a foot).
The spherical tank with a capacity of 750 gallons has a radius of 2.88ft.
Volume refers to the total amount of space an object occupies. It also determines the capacity of the object.
Given the fact that 1 gallon is about 0.1337 ft^3, and the spherical tank has a capacity of 750 gallons, then it's volume or capacity can be converted from gallons to ft^3 by multiplying 750 with 0.1337.
1 gallon = 0.1337 ft^3
750 gallons = 750(0.1337 ft^3)
750 gallons = 100.275 ft^3
To solve for the radius of the spherical tank, use the formula for the volume of sphere given by the formula:
V = 4/3πr^3
where V = 100.275 ft^3
100.275 ft^3 = 4/3πr^3
r^3 = 23.93889288 ft^3
r = 2.882048957ft
Rounding off to the nearest hundredth of a foot:
r = 2.88ft
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Question 4 4.1 Determine the value of c in the diagram. 65% c 4.2 Determine the value in the diagram. x-20° 84° (3) Statement Statement Reason Reason
The value of c is 25° and x is 116°.
From figure 1, we can see hat the entire angle is given to be 90°. This angle is divided into 2 parts, one is 65° and the other is c
This means that-
65 + c = 90
c = 90 - 65
c = 25
Thus, the value of c is 25°.
Now, in the 2nd figure, we can see that both the horizontal lines are parallel and a transversal is drawn between them.
Both the angles thus formed are opposite interior angles and are hence supplementary.
Therefore, (x - 20) + 84 = 180
x - 20 = 180 - 84
x - 20 = 96
x = 96 + 20
x = 116
Thus, the value of x is 116°
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A sqaure garden has an area of 144 square feet. how many yards of fence will it take to enclose the garden?
The number of yards of fence it will take to enclose the square garden is 48 feet.
It is given in the question that a square garden has an area of 144 square feet.
We have to find the number of yards of fence it will take to enclose the garden.
Let the length of side of the square garden be x feet.
We know that,
Area of a square = [tex]side^2[/tex]
Hence,
According to the data given in the question, we can write,
144 = [tex]side^{2}[/tex]
We know that,
144 = [tex]12^2[/tex]
Hence,
[tex]12^2=side^2[/tex]
Hence,
Side = 12 feet
We know that,
Number of yards of fence it will take to enclose the square garden = perimeter of the square garden.
Hence,
Number of yards of fence it will take to enclose the square garden = 4* side of the square garden = 4*12 = 48 feet.
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find the measure of angle B.
Answer:
m <B = 41°
Step-by-step explanation:
Fact: complementary angles measures add to 90 degrees
Given: m < A = 2x-19, and m <B = x+7
Find: m <B = ?
Find x
2x-19 + x+7 = 90
2x+x = 90 +19-7
3x = 102
x = 34
Find m <B
m <B = x+7
m <B = 34+7
m <B = 41
The price of a computer is 899.00 the sales tax rate is 7% what is the sales tax on the computer in dollars and cent
The value of the sales tax on the computer is 62 dollars and 93 cents.
Any number or a ratio which is expressed in terms of a fraction of 100 is known as a percentage.
Here, we are given that the price of a computer is 899 dollars.
The sales tax on the computer is 7%.
Thus, the value of the sales tax on the computer will be,
7% of 899
= 7/100 * 899
= 62.93
Thus, the sales tax on the computer comes out to be 62.93 dollars.
In 62.93 dollars, we can see that we have 62 complete dollars, plus 0.93 more dollars left.
0.93 dollars = 93 cents
Therefore, the sales tax on the computer is 62 dollars and 93 cents.
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Answer:
Step-by-step explanation:
A school has 400 students. If 40 students were surveyed, what percent of the school was surveyed?
Answer:
0.18
Step-by-step explanation:
Given: 60% students were in high school, 40% were in middle school and of the high school students, 30% had visited a foreign country
To find: probability that the student is in high school and has visited a foreign country
Solution:
Let x denotes total number of students
Number of students in high school = 60% of x =
Number of students in middle school = 40% of x =
Number of students who are in high school and have visited foreign country = 30% of Number of students in high school =
Probability that the student is in high school and has visited a foreign country = Number of students who are in high school and have visited foreign country/ Total number of students =
Answer:
Step-by-step explanation:
160% Was surveyed!
40% of 400
Explain why V8 is
a rational number, but √8 is not a rational
number.
Which relation is represented by the arrow diagram?
{(-0.5, -1), (1,7), (0.5, -0.2), (3.2, 1)}
{(3.2, 1), (0.5, -0.2), (1,1), (-0.5, 7)}
{(-1, -0.5), (7, 1), (-0.2, 0.5), (1, 3.2)}
{(-0.5, -1), (1, 7), (0.5, 1), (3.2, -0.2)}
Answer:
first order
Step-by-step explanation:
they're basically a linear function. to make it easier you could just put the coordinates on the side of the table.
pls hurry! i will give brainliest!!
-
What is the measure of angle x?
Enter your answer in the box.
Answer:
43
Step-by-step explanation:
Samuya is multiplying 0.7 by 0.003. how many zeros will be to the right of the decimal point in the product?
After multiplying 0.7 by 0.003 there are two zero to right of the decimal point in the product.
Here,
Samuya is multiplying 0.7 by 0.003.
We have to find, zeros will be to the right of the decimal point in the product.
What is Product?
The product of two numbers is the result you get when you multiply them together.
Now,
Product of 0.7 and 0.003 we get;
0.7 x 0.003 = 0.0021
Clearly, there are two zero to the right of the decimal point in the product.
So, After multiplying 0.7 by 0.003 there are two zero to right of the decimal point in the product.
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Evaluate f(x) = -2x + 5 when x = 8
A person invests 10000 dollars in a bank. The bank pays 6.5% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 29500 dollars?
The time it will take for the money in the bank to reach a total of 29500 dollars would be = 30 years.
How to calculate the time for the interest compounded annually?To calculate the time for the interest compounded annually the formula below is used:
Simple interest = principal× time×rate/ 100
Simple interest = principal× time×rate/ 100Simple interest = total amount in the bank - principal amount
= 29500 - 10000
= $19,500
Principal = $10000
Rate = 6.5%
Time = ?
From the given formula, make t that subject of formula;
T = $19,500 ×100/$10000×6.5
T = 1950000/65000
T = 30 years.
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kkkkkknnnjkkkl......l,
Answer: kndkfnsjkfrjgkbgjb
Step-by-step explanation:
listen to koRn
What is the value of the expression below when x = 3 and y = 2? 6x - y
Answer:
The value of the expression of x 3 and y 5. Substitute each x and y with these numbers in equation and which would you get a value? So 4x+6y
4(3)+6(5)=
12+30=42
B. 42 ♥️
Step-by-step explanation:
number 7 show your work , someone help please.
Answer:
Step-by-step explanation: Replace u with (3)
Multiply 5x3+3/2
Answer: 9
Step-by-step explanation:
remember, a variable is only a placeholder for an actual value.
so, when we get an actual value, we put it into every location of the variable in the expression and simply calculate.
6.
25/(r - 4) for r = 9
that means
25/(9 - 4) = 25/5 = 5
7.
(5u + 3)/2 for u = 3
that means
(5×3 + 3)/2 = (15 + 3)/2 = 18/2 = 9
I have a series of questions. The faster I get the answer the more point I give.
We have
28 = 2²•7
48 = 2⁴•3
and GCD(28, 42) = 2² = 4.
