Answer:
9 inches
Step-by-step explanation:
The population is within 6 standard deviations of the mean with a confidence of 99.7 percent, 3 above and 3 below
The standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size
population standard deviation = 36
sample size = 144
standard deviation of the sample mean = 36/ sqrt(144)
=36/12
=3
The margin of error is the number of standard deviations above the mean * the standard deviations
margin of error = 3 * 3
= 9 inches
Given that f(x) = 7x^2 − 84 = 0, find x.
Answer:
x = 3.464
Step-by-step explanation:
7x^2 - 84 = 0
7x^2 = 84
x^2 = 12
x= 3.464
A box contains 12 cereal bars. The empty box weighs 1.75 oz. The box and the bars weigh 18.55 oz. What is the weight of each cereal bar?
please provide the answer and the equation
Answer:
Each cereal bar is 1.4 ounces
Subtract the weight of the empty box from the 18.55 (because that's the weight of the box AND the cereal)
You are then left with 16.8 ounces, which is just the weight of the 12 cereal bars.
To find the weight of one cereal bar, assuming that all cereal bars weigh the same, you need to divide 16.8 by 12.
So that results in each cereal bar weighing 1.4 ounces
PRACTISE NOW 9A
1.
Draw a line segment AB of length 6 cm. Construct the perpendicular bisector of AB.
Find the area of a circle with a circumference of 31.4 units
Answer:
Step-by-step explanation:
hope it helps you
The price of an item has been reduced by 35%. The original price was $17.
Find the price now
NEED HELP! The wind-speed, in miles per hour (mph), was measured every six hours during a day on the Isles od Scilly.
Answer:
Mean=
36/5=7.2
Median=8
Step-by-step explanation:
mean=add all the numbers/divide by how many
13+12+8+2+1=36
5 numbers altogether hence,
36/5=7.2
median=arrange all numbers and middle term is the median(for odd numbers only)
13,12,8,2,1
Hence,8 is the middle term
Hope this helped xx
Denesh is creating a triangular flower bed using three pieces of wood. The two shorter pieces of wood have lengths of 7 feet and 24 feet. How long, in feet, should the third piece of wood be for Denesh to create a right triangle?
Answer:
The answer is 25
Step-by-step explanation:
Answer:
The third piece of wood that for denesh need to create to form a right triangle is: 25 feet.
Step-by-step explanation:
We are given two shorter legs of a wood of lengths as: 7 feet and 24 feet. We know that in a right angled triangle with two shorter sides as a and b the longer length or the hypotenuse of the triangle of length c is given by Pythagorean Theorem as: We have: a=7 and b=24 Hence,
The sum of two numbers is 38. The greater number is 8 more than the other number. Find each number.
Step-by-step explanation:
Answer:
23 and 15
Step-by-step explanation:
Create a system of equations where x is the greater number, and y is the smaller number.
x + y = 38
x = y + 8
Solve by substitution, by substituting the second equation into the first one, then solving for y:
x + y = 38
(y + 8) + y = 38
Add like terms and solve for y:
2y + 8 = 38
2y = 30
y = 15
Add 8 to this, to find the greater number:
15 + 8
= 23
So, the numbers are 23 and 15.
Are the vectors u1→=<2,3>and u2→=<-3,-2>parallel? Show your work and explain.
Answer:
Two vectors are parallel if they are scalar multiples of one another. If u and v are two non-zero vectors and u = c v, then u and v are parallel. The following diagram shows several vectors that are parallel.
Step-by-step explanation:
The requried given vectors are not parallel. As their dot product is not zero.
What is a vector?Vector is defined as the quantities that have both magnitude and direction are called a vector quantity and the nature of the quantity is called a vector.
Two non-zero vectors are parallel if they are scalar multiples of each other. In other words, if one vector is a constant multiple of the other, then they are parallel.
Let k be the scalar multiple such that:
u₁ = k u₂
Substituting the given values of u₁ and u₂, we get:
<2, 3> = k <-3, -2>
Multiplying both sides by -1, we get:
<-2, -3> = k <3, 2>
Now, we can see that the two vectors are not scalar multiples of each other, since there is no value of k that satisfies this equation. Therefore, u₁ and u₂ are not parallel.
We can also verify this by checking their dot product. If the dot product of two non-zero vectors is zero, then they are orthogonal (perpendicular), not parallel. The dot product of u₁ and u₂ is:
u₁ ⋅ u₂ = (2)(-3) + (3)(-2) = -6 - 6 = -12
Since the dot product is not zero, we can conclude that the vectors u₁ and u₂ are not parallel.
Learn more about vectors here,
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Three candy bars are being shared equally between four friends.
How much does each friend get?
Answer:
[tex] \frac{3}{4} [/tex]
How many terms are in the expression below?
5x +3 - 3x – 1 + 2x + 5
Answer:
2
Step-by-step explanation:
5x + 3 - 3x - 1 + 2x + 5
you can combine the like terms
5x - 3x + 2x = 4x
3 - 1 + 5 = 7
4x + 7
there are 2 terms in the expression
Sora was given two data sets, one without an outlier and one with an outlier.
Data without an outlier: 108, 113, 105, 118, 124, 121, 109
Data with an outlier: 108, 113, 105, 118, 124, 121, 109, 41
How is the mean affected by an outlier?
The outlier did not affect the mean at all.
The outlier made the mean higher than all the other values.
The outlier made the mean lower than all the other values.
The mean is centered around all the other numbers in both sets of data.
Answer:
The outlier made the mean lower than all the other values.
Step-by-step explanation:
Mean is a measure of central tendency. It is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
Mean of numbers without the outlier = (108 + 113 +105 + 118 + 124 + 121 +109) / 7 = 114
Mean of numbers with the outlier = (108 + 113 +105 + 118 + 124 + 121 +109 + 41) / 8 = 104.9
the mean with the outlier is lower than any of the numbers
Answer:
C
Step-by-step explanation:
PLEASE HELP ASAP WILL MARK BRAINLIEST
Part A
Which line best fits the data, l, m, or n? Why?
Part B
In the equation of a line, y = mx + b, what does b stand for? What is the value of b for the line of best fit?
Part C
In the equation of a line, y = mx + b , what does m stand for? What is the value of m for the line of best fit?
Part D
Now that you know m and b, what is the equation of the line of best fit?
Answer:
Part A:
Most of the data points are above line m. All of the data points are below line n. The data points are evenly distributed on either side of line l. Therefore, line l is the line of best fit for the data.
Part B:
For the line of best fit, the y-intercept is approximately 10 and the slope is approximately 2 .
Part C:
Y= 2x+10
Step-by-step explanation:
Part A:
Most of the data points are above line m. All of the data points are below line n. The data points are evenly distributed on either side of line l. Therefore, line l is the line of best fit for the data.
Part B:
To find the y-intercept of a line, identify where the line intersects the y-axis. Because the line of best fit is line l, the y-intercept is 10.
To find the slope, choose two points on line l, such as (10,30) and (30,70):
Part C:
To get the equation of the line, substitute the y-intercept, 10, for b and the slope, 2, for m.
Please give me the brainlliest crown Pls
Create a data set with at least 7 values so that the mean is 20.
plz no bot if bot i will kill 50 point
Answer:
I cant remember this
Step-by-step explanation:
i cant remember
Answer:
Hello! answer: 45, 20, 15, 11, 36, 8, and 5
Step-by-step explanation:
Data set I created: 45, 20, 15, 11, 36, 8, and 5
It doesnt matter what the data set is as long as it has 7 numbers added together that equals 140 because 140 ÷ 7 = 20 45 + 20 + 15 + 11 + 36 + 8 + 5 = 140 then divide by how many numbers are in the data set and 140 ÷ 7 = 20 Hope that helps
When n = 4, which of the expressions below will be greater than 20? Select all that apply.
A) n2+6n÷3
B) 12n –(6n+3)
C) n2–6
D) 4(n+6) –3n
A DVD player manufacturer shipped 960 DVD players last month. According to the manufacturers records, 5 out of every 24 players were repaired during the first year of ownership. How many of the 960 DVD players were repaired in the first year?
a: 40
b: 120
C: 192
D: 200
Answer:
D: 200
Step-by-step explanation:
Given that
The DVD player shipped 960 players last month
There is a record that out of every 24 players, the 5 would be the repaired
So we need to find the number of DVD players were repaired in this 960 players
So
= 960 × 5 ÷ 24
= 200 players
Hence, the option is d.
Please help me! Correct answer will get brainliest
Answer:
[tex]4(\sqrt{\frac{147}{3} }+3)=40[/tex]
Step-by-step explanation:
Given: [tex]4(\sqrt{\frac{147}{3} }+3)[/tex]
Evaluate radical: [tex]4(\sqrt{49}+3)[/tex]
Evaluate radical: [tex]4(7+3)[/tex]
Evaluate parentheses: [tex]4(10)[/tex]
Distribute 4: [tex]40[/tex]
Solve the equation: 7(x + 8) = 49
Answer:
-1
Step-by-step explanation:
1.)Reorder the terms:
7(8 + x) = 49
(8 * 7 + x * 7) = 49
(56 + 7x) = 49
2.)Solving
56 + 7x = 49
3.)Solving for variable 'x'.
4.)Move all terms containing x to the left, all other terms to the right.
5.)Add '-56' to each side of the equation.
56 + -56 + 7x = 49 + -56
6.)Combine like terms: 56 + -56 = 0
0 + 7x = 49 + -56
7x = 49 + -56
7.)Combine like terms: 49 + -56 = -7
7x = -7
8.)Divide each side by '7'.
x = -1
9.)Simplifying
x = -1
Hope this helps
plz like and brainy
u get brainlyist if quick
Find the value of y that makes the equation 3y = x + 2 true, when x = 1.
A. 1
B. 3
C. 1/3
D. 2
Answer:
A. 1
Step-by-step explanation:
just plug it in here
3y = 1 + 2
3y = 3
y = 1
6+5·(8÷2)2
PLSS help i will mark brainliest
answer:
46
step-by-step explanation:
use PEMDAS in order to solve this6 + 5 · (8 ÷ 2)2
6 + 5 · (4)2
6 + 40
= 46
14523 round to nearest 10
Answer:
14520
Step-by-step explanation:
what is the distance between (3,2) and (1,6)
Answer:
The answer is 2√5 or 4.47213595...
Step-by-step explanation: use the distance formula
If point Cis between points A and B, then AC + __ = AB.
A. ABC
B. CA
C. BC
D. AB
True or false: the basic rate can be calculated by dividing the basic wage by the hours worked?
Answer
true
Step-by-step explanation:
Divide the total earnings for the workweek, including earnings during overtime hours,
Answer:
True
Step-by-step explanation:
Im the smartest in my college
The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's future value A, or the total amount due at time t. Round answers to the nearest cent. P=$2000, r=%6, T=6 years
Answer:
$2720
Step-by-step explanation:
Given data
Principal=$2000
r= %6
T= 6 years
The expression for the final amount is
A= P(1+rt)
A=2000(1+0.06*6)
A=2000(1+0.36)
A=2000*1.36
A=2720
Hence the amount is $2720
Factor completely 625x4 − 81.
(5x − 3)(5x − 3)(25x2 + 9)
(5x − 3)(5x + 3)(25x2 − 9)
(5x + 3)(5x + 3)(25x2 + 9)
(5x − 3)(5x + 3)(25x2 + 9)
A box plot is shown below what is the median and q3 of the data set represented on the plot median=30;q3=44
The required boxplot isn't attached, an hypothetical solution is given which could be applied to solve your actual task.
Answer:
Kindly check explanation
Step-by-step explanation:
The median of a dataset plotted on a box and whisker plot can be obtained directly from the plot as the point where a vertical line splits the box. The line inside the box gives the median of the data. The Q3 value which is the upper quartile is depicted on the box and whisker plot as the endpoint of the box. The endpoint of the box gives the upper quartile value for the dataset.
In the scenario above, the median = 29
The upper quartile = 38
A lap around Natalie's neighbourhood is 20 kilometres. Natalie ran 2 laps before
walking the rest. How many kilometres did Natalie run?
pls pls pls pls help me i will give brainlist pls pls pls pls pls pls
When creating a coordinate plane, which direction does the y-axis lay?
Group of answer choices
diagnol
none of the above
vetical
horizontal
Which sentence is true about quadrilaterals?
Group of answer choices
All squares are rectangles.
All rectangles are rhombi.
All rectangles are squares.
All rhombi are squares.
What kind of triangle has exactly 2 congruent sides?
Group of answer choices
right
isosceles
scalene
equilateral
What is the name of the quadrilateral that has 1 and only 1 set of parallel sides?
Group of answer choices
trapezoid
square
rectangle
rhombus
Which of the following describes a triangle?
Group of answer choices
only 1 pair of parallel sides
no pairs of parallel sides
3 parallel sides
2 parallel sides
Answer:
#1 ) Vertical
#2) All rhombi are squares
#3) Isosceles
#4) Trapezoid
#5) No pairs of parallel sides
Hope this helps! Mark me brainliest if I'm right :)
An equation is shown below.
−45(9x−20)−3x=45x−6
Enter the value of x that makes this equation true.