Answer:
sample size = 10
it is not practical because we can't draw a conclusion for a complete population based on the sample size of 10 people
Step-by-step explanation:
mean = 100
standard deviation = sigma = 10
confidence level = 99%
The z-score for 99% confidence level = z = 2.58
mean IQ is within 8 IQ points so:
error = E = 8
sample size = n (we don't know it)
Since the distribution is normal, we can use the formula of margin of error for z-distribution to calculate the missing sample size:
[tex]E = z * \frac{sigma}{\sqrt{n} } \\\sqrt{n} = z * \frac{sigma}{E} \\\\\sqrt{n} = 2.58*\frac{10}{8} \\\\\sqrt{n} = \frac{25.8}{8} \\\\n = (\frac{25.8}{8} )^{2}\\n = 10.4\\[/tex]
next integer rounded is 10
MAX POINTS!!! Write and solve a system of equations. Be sure to label the variables. The difference of two numbers is two. Two times the first number plus the second number is thirteen. What are the numbers? Show and explain all work.
Answer:
5 and 3Step-by-step explanation:
Let the numbers be x and y.
The equations are:
x - y = 22x + y = 13Add up the equations to eliminate y and solve for x:
x - y + 2x + y = 2 + 133x = 15x = 15/3x = 5Now find the value of y:
y = x - 2 y = 5 - 2 y = 3Let the numbers be a and b
a-b=2--(1)2a+b=13---(2)Adding both
[tex]\\ \sf\longmapsto 3a=15[/tex]
[tex]\\ \sf\longmapsto a=5[/tex]
Putting in eq(1)
[tex]\\ \sf\longmapsto 5-b=2[/tex]
[tex]\\ \sf\longmapsto b=5-2[/tex]
[tex]\\ \sf\longmapsto b=3[/tex]
Suppose A={0,12,−3,7,18}, B={−1,5,7,18}, and C={−3,5,9}. What is A∩(B∪C)?
Answer: {-3, 7, 18}
Step-by-step explanation:
B ∪ C = {-3, -1, 5, 7, 9, 18}
A ∩ (B∪C) = {-3, 7, 18}
please give me a brainliest answer
Answer:
A∩(B∪C)={-3, 7, 18}Step-by-step explanation:
First we look at PEMDAS.
In A∩(B∪C), parentheses come first.
So, we do B∪C.
The ∪ symbolizes union, which means you have to combine the elements of the two sets.
If B={−1,5,7,18}, and C={−3,5,9}, then both of them together is {-3,−1,5,7,9,18}. I used underlining and italics to show where the numbers came from. There is a 5 in both sets, but you only have to put it once.
B∪C={-3,−1,5,7,9,18}.
Now that we have B∪C, we can solve for A∩(B∪C).
∩ means intersection, so you find the elements in both sets. Basically, just look for numbers that appear in both A and B∪C.
B∪C={-3,−1,5,7,9,18}
A={0,12,-3,7,18}
Therefore, A∩(B∪C)={-3, 7, 18}
Hope this helped! <3
What percent is represented by the shaded area?
Answer:
34%
Step-by-step explanation:
the graph is a hundred so all you have to do is count the number of squares which is 34
Simplify 2^4 x 2^3 / 2^5 x 2^4
In index form
Answer:
1/2^2
Step-by-step explanation:
There can't be a negative exponent
Answer:
2^6 would be index form
Step-by-step explanation:
Evaluate the expression
12 - 3 2+429,- 4) for y = 3.
Answer:
9,427) y=5
is correct answer
Since 16 > O what does that tell you about the
number of solutions.
No real solutions
2 real solutions
1 real solution
Answer:
2 real solution
Step-by-step explanation:
3xghrur
Find the Quadratic function model that best fits this data.
Answer:
your answer is as follows
Step-by-step explanation:
the first option fits.. I.e., y=x^2-12
Which values of a, b, and c correctly complete the division?
A. a = 4, b = 5, c = 6
B. a = 1, b = 6, c = 5
C. a = 1, b = 5, c = 6
D. a = 4, b = 6, c = 5
If we compare both sides of the equation we get,
D. a = 4, b = 6 and c = 5
pogle...
Drought conditions in Texas are causing
lake levels to drop 3 inches per day.
If it doesn't rain for a week,
then what will the level change
be at the end of the week?
Answer:
21 inches
Step-by-step explanation:
if its 3 inches everyone day, and theres 7 days a week. that would mean it would drop 21 inches
identify each classification of the real number system that can describe the set of numbers shown {3, 9, 147, 400}
) Integer
) Irrational
) Real
) Rational
) Whole
) Natural
Step-by-step explanation:
all of these 4 numbers are
integer (whole numbers positive and negative).
real (every whole number can be written as e.g. 3.0 and is part of the real numbers).
rational (as any whole number can be written as e.g. 3/1 and is part of the rational numbers).
whole (no fractions).
natural (they are in the set of [1, 2, 3, ... infinity) ).
the only thing here they are not is irrational, as to be irrational they would need to have an infinite sequence of digits after the decimal point without any repeating pattern.
Coverte 2.75 into fraction
Answer:
2 3/4 or 11/4
Step-by-step explanation:
2.75 = 11/4 = 2 3/4 as a fraction
To convert the decimal 2.75 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
2.75 = 2.75 / 1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
2.75 / 1 = (2.75 x 100)/(1 x 100) = 275/100.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(275,100) = 25. So,
(275 ÷ 25)/ (100 ÷ 25) = 11/4 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 275 /100
is also equal to 2 3/4 when expressed as a mixed number.
How to Convert a Decimal to a Fraction - Steps
Step 1: Write down the decimal as a fraction of one (decimal/1);
Step 2: If the decimal is not a whole number, multiply both top and bottom by 10 until you get an interger at the numerator.
Step 3: Simplify (or reduce) the fraction if it is not in the simplest form.
Which of these numbers is the greatest? No links
A. 2.3 x 10^3
B. 8.6 x 10^3
C. 1.2 x 10^4
D. 3,600
Answer:
c. 1.2 * 10^4
Answer : D. 3,600
sorry if that's wrong
a bottle holds 80 fluid ounces of lemonade. how much is this in pints
Answer: 5 pints
Step-by-step explanation:
divide the volume value by 16
so 80 divided by 16.
Challenge In a company, 95% of the workers are women. If 100 people work for the company who
aren't women, how many workers are there in all?
Answer:
The answer will be, 105.26
A submarine was situated 800 feet below sea level. If it ascends 350 feet,
what is its new position?
Answer:
450 feet below sea level
Step-by-step explanation:
ascend = move up = add
800 ft below sea level = -800
-800 + 350 = -450
Write the standard form of the equation of the circle with radius r and center (h, k).
r = 2; (h, k) = (-10, 5)
Answer:
[tex](x+10)^2+(y-5)^2=4[/tex]
Step-by-step explanation:
Hi there!
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where [tex](h,k)[/tex] is the center of the circle and [tex]r[/tex] is the radius
Plug in the center (-10,5) and the radius 2:
[tex](x-(-10))^2+(y-5)^2=2^2\\(x+10)^2+(y-5)^2=4[/tex]
I hope this helps!
PLS HELPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
the answer to that I think is a or c. either one of those.
a textbook store sold a combined total of 348 history and chemistry text in week.The number of history textbooks sold was three times the number of chemistry books were sold. how many book of each type were sold.
Answer:
x=87, y=261
Step-by-step explanation:
x+y=348 and 3x=y
plug 3x in for y.
x+(3x)=348
4x=348
x=87
plug x in to solve for y.
3(87)=y
y=261
:- State the property involved in the statement: 96 X (123 – 11 ) = (96 X 123 ) – (96 X 11 ) a) Distributive property of multiplication for subtraction b) closer property c) Property of unity d) commutative law
please help me please help me
Answer:
Associative property of multiplication
Step-by-step explanation:
The word "associative" comes from "associate" or "group"; the Associative Property is the rule that refers to grouping. For addition, the rule is "a + (b + c) = (a + b) + c"; in numbers, this means 2 + (3 + 4) = (2 + 3) + 4. For multiplication, the rule is "a(bc) = (ab)c"; in numbers, this means 2(3×4) = (2×3)4.
How many triangles are here
Answer:
6 types of triangles?
isosceles, equilateral, scalene, obtuse, acute, and right
How many Triangles are where ?
there is no image of triangles
thus i can not tell you how many triangles there are
pls help i need this all my questions disappered
Please help me I need this for tonight
Answer:
It is C because 4+8=3(4)
That's =12 =12
2) A rectangular solid measures 150 cm by 100 cm by 200 cm Calculate the volume in various units:
a. In cm3
b. In dm3 {show conversion factor}
C. In gallons (show conversion factor) (hint: 1dm3 = 1L)
Answer:
a. In cm3 - 3 Cubic Meters
b. in dm3 - 3,000 Cubic Decimeters
c. In gallons = 792.51615707445 gallons
d. In liters (extra) - 3000.00000000001819
Step-by-step explanation:
RP = l x w x h
V = 3,000,000
Rectangular solid is a rectangular prism - To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Drag the tiles to the correct boxes to complete the pairs.
PQRS is a parallelogram. and are diagonals. Match each element to its value.
value of
length of
value of
length of
16
arrowRight
4
arrowRight
3
arrowRight
6
arrowRight
Answer:
16 ==>> Length of PR
4 ==>> Value of A
3 ==>> Value of B
6 ==>> Length of QS
Step-by-step explanation:
==>> Since PQRS is a parallelogram the diagonals are symmetrically split by a shared midpoint: T
--
==>> Thus the values of A & B can be found by setting the sides to equal each other.
2B - 3 = B [add 3 and subtract B from both sides]
B = 3
A + 4 = 2A [subtract A from both sides]
4 = A
--
==>> Then to find the length of the diagonals: Plug the variables in and add both sides.
2(3) - 3 + (3) =6
(4) + 4 + 2(4) =16
The correct matching of the elements to their values are:
16 ==>> Length of PR4 ==>> Value of A3 ==>> Value of B6 ==>> Length of QSWhat is a Parallelogram?This refers to the plane that has four sides and their opposite sides are parallel.
Hence, because PQRS is a parallelogram, the diagonals are symmetrically split by a shared midpoint:
This means that the values of A & B can be found by setting the sides to equal each other.
2B - 3 = B
B = 3
A + 4 = 2A
4 = A
Length of the diagonals:
2(3) - 3 + (3) =6
(4) + 4 + 2(4) =16
Read more about parallelograms here:
https://brainly.com/question/3050890
#SPJ2
If –7 + 13i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?
Group of answer choices
7 + 13i
-7 - 13i
20i
-13i
Answer:
2nd option -7 - 13i
Step-by-step explanation:
took review
A drawer contains black socks and white socks. 80% of the socks are white socks. A number generator simulates randomly selecting 10 socks from the drawer. The number generator is used 10 times and the number of white socks in each trial is shown in the dot plot.
Which description is correct about the number generator being fair or not?
The number generator is fair. It picked white socks half of the time.
The number generator is not fair. The correct percentage of white socks was not chosen at all.
The number generator is not fair. In three experiments, it picked white socks 90% of the time.
The number generator is fair. It picked the approximate percentage of white socks most of the time.
Answer:
The number generator is fair. It picked the approximate percentage of white socks most of the time.
Step-by-step explanation:
Just took the test :3
Description about the number generator : The number generator is fair. It picked the approximate percentage of white socks most of the time.
What is randomly selection?Random selection is a part of the sampling technique in which each sample has an equal probability of being chosen.
According to question
White socks = 80%
Black socks = 20%
Randomly selecting 10 socks from the drawer .
Process repeated 10 times
According to dots on plot
Number white socks was selected in each round is 7,7,7,8,8,8,8,9,9,9 .
If we evaluate the number generator :
80% of the socks are white, and each trial selects 10 socks. 80% of 10 is 8, which is what the number generator picked most of the time.
That means The number generator is fair.
Hence, The number generator is fair. It picked the approximate percentage of white socks most of the time.
To know more about Randomly selecting here :
https://brainly.com/question/26755916
# SPJ2
Find the unit rate $72 in 4 hours
Answer:
72 dollars ÷ 4
4 hours ÷ 4
=
18 dollars
1 hour
=
18 dollars
hour
= 18 dollars per hour
Step-by-step explanation:
Answer:
its 76 becuse 72+4=76
Step-by-step explanation:
72+4=76
Can someone do these two for me please?
Answer:
3) 2
4) Water's Edge Rafts
Step-by-step explanation:
3) Rate of change is nothing but the slope
Slope formula : y2 - y1 / x2 - x1
13 - 11 / 2 - 1
2/1
2
Rate of change = 2
4) Rate of change : y2 - y1 / x2 - x1
Water's Edge Rafts
36 - 6 / 6 - 1
30/5
6
Water's Edge Rafts' Rate of change = 6
Ryan's Rafts
17.25 - 15.00 / 2 - 1
2.25/1
2.25
Ryan's Rafts' Rate of change = 2.25
6>2.25
So, Water's Edge Rafts' has the highest rate of change
Answer:
2 for # 3
2.25 for # 4
Step-by-step explanation:
15-11/3-1
=2
(19.50-15)/(3-1)
2.25
Evaluate -xy^2-2y for x=-4 and y=-2
Need help
I need help with this whats the answer
Answer:
i have no clue sorry try 180 - 135
Step-by-step explanation: