The weight of oranges growing in an orchard is normally distributed with a mean weight of 7 oz. and a standard deviation of 1.5 oz. Using the empirical rule, determine what interval would represent weights of the middle 99.7% of all oranges from this orchard.
please help
Answer:
2 to 11 ounces would be the interval.
Step-by-step explanation:
Add 3 standard deviations above and below the mean to get the range in which 99.7% of the data in a normal distribution will fall
6.5 + 4.5 = 11
6.5 - 4.5 = 2.
Hope this helped!
The interval that would represent the weights of the middle [tex]99.7\%[/tex] of all oranges from this orchard is between [tex]2.5[/tex] and [tex]11.5[/tex] such that weight and standard deviation are [tex]7\;\text{oz.}[/tex] and [tex]1.5\;\text{oz.}[/tex] respectively.
Empirical RuleThe empirical rule formula states that [tex]68\%,95\%[/tex] and [tex]99.7\%[/tex] of all the data can be represented in the interval of [tex]1, 2[/tex] and [tex]3[/tex] standard deviation of the mean respectively.
How to use the empirical rule formula to determine the interval?Mean weight [tex]=7\;\text{oz.}[/tex]
Standard deviation [tex]=5\;\text{oz.}[/tex]
According to the empirical rule, [tex]99.7\%[/tex] of values lie within [tex]3[/tex] standard deviations of the mean.
So, we have to add and subtract [tex]1.5[/tex] three times in mean weight to obtain the required interval.
[tex]\Rightarrow7-4.5 < 7 < 7+4.5\\\Rightarrow2.5 < 7 < 11.5[/tex]
Thus, the interval that would represent the weights of the middle [tex]99.7\%[/tex] of all oranges from this orchard is between [tex]2.5[/tex] and [tex]11.5[/tex].
Learn more about empirical rule formula here- https://brainly.com/question/13815221
#SPJ2
Its was estimated that 250 people would attend the movie, but 235 people actually attended. What is the percent error, to the nearest percent, of the estimate?
Answer:
the percent error is 6%
Step-by-step explanation:
Given that
The estimated people who attend the movie is 250
And, the people who actually attended is 235
We need to find out the percent error
So
Percent error is
= (250 - 235) ÷ (235)
= 6.38%
= 6%
Hence, the percent error is 6%
Does anybody have the answers to the probability and statistics unit 8 correlation and regression unit test for connections academy??
WILL MARK THE BRAINLIEST
Find the surface area of the composite figure.
6 cm
5 cm
4 cm
6 cm
15 cm
3 cm
The surface area of the given composite figure will be 384 square cm.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
In the given image we have a composite figure one is a rectangular cuboid and the other is a triangular prism. The surface area will be equal to the sum of all the outer sides of the figure.
The surface area of the triangular shape will be calculated as:-
SA = 2( Area of triangle ) + Area of rectangular surfaces
SA = 2 ( (1/2) B x H ) + (5 x 6 ) + ( 6 x 3 )
SA = ( 3 x 4 ) + ( 30 ) + ( 18 )
SA = 12 + 30 + 18
SA = 60 square cm
The surface area of the rectangular cuboid will be calculated as:-
SA = ( 4 x 6 ) + 2 ( 158 x 4 ) + 2 ( 15 X 6 )
SA = 24 + 120 + 180
SA = 324 square cm
Total surface area will be = 324 + 60 = 384 square cm.
Therefore the surface area of the given composite figure will be 384 square cm.
To know more about a surface area follow
https://brainly.com/question/25292087
#SPJ1
7th grade math problem please help !!
Answer:
136 units^2
Step-by-step explanation:
Which set of three angles could represent the interior angles of a triangle?
O 19°, 70°, 91°
O 47°, 12°, 31°
O 50°, 20°, 20°
O 25°, 25°, 100°
Answer:
19 degrees, 70 degrees, and 91 degrees.
Step-by-step explanation:
The interior angles of a triangle sum to 180 degrees. 19 plus 91 is equal to 110, add 70 to 110 and you'll get 180. :)
Statements True or False 4.086<5.0254.086<5.025 True False 6.37=6.3706.37=6.370 True False 11.716<11.70811.716<11.708 True False 64.28>64.28164.28>64.281 True False 3,756.082<3,756.8023,756.082<3,756.802 True False
Answer:
4.086 < 5.025 true
6.37 = 6.370 true
64.28 > 64.281 false
11.716 < 11.708 false
64.28 > 64.281 false
3,756.082 < 3,756.802 true
Step-by-step explanation:
First, let's define how the symbols work.
a < b means that a is strictly smaller than b
a > b means that a is strictly greater than b
Also, for rounding up or down:
Suppose that we want to round to the second decimal after the decimal point.
Then, we need to look at the third one, if it is 5 or larger, we round up.
if it smaller than 5, we round down.
We need to see if each statement is true or not.
a) 4.086 < 5.025
This is true, the number 5.025 is larger than 4.086 (you only need to see at the units digit) So this statement is true.
b) 6.37 = 6.370
Because the third digit is equal to zero, we can round down the right number to 6.37, then the equality is true.
c) 11.716 < 11.708
11.716 is actually larger than 11.708, so this statement is false
d) 64.28 > 64.281
We have that:
64.28 + 0.001 = 64.281
Then 64.281 is larger than 64.28, so this statement is false.
e) 3,756.082 < 3,756.802
By looking at the numbers after the decimal point, we can see that the right number is larger than the left one, then the statement is true.
Write the equation of the circle containing the point (8, 1) and a center at (4, –9).
9514 1404 393
Answer:
(x -4)² +(y +9)² = 116
Step-by-step explanation:
The standard form equation for a circle is ...
(x -h)² +(y -k)² = r² . . . . . . center at (h, k), radius r
The value of the r² term can be found by using the point in the circle expression.
(x -4)² +(y +9)² = (8 -4)² +(1 +9)² = 16 +100
(x -4)² +(y +9)² = 116 . . . . . equation of the circle
Find all the missing elements.
Round to the nearest tenth.
C
a
b
a = 5
b = 2
C = 6
B
A
С
A = [?]° B = [ 1° C = [ 1°
Answer: A= 51.3 B= 18.2 C=110.5
Step-by-step explanation:
A recipe uses 1 ¼ cups of milk to make 10 servings. If the same amount of milk is used for each serving, how many servings can be made using 2 gallons of milk?
Answer:
128 is your answer
Step-by-step explanation:
1 gallon of milk will make 128 servings.
100% Correct hope this helps ツ
Answer:
25
Step-by-step explanation:
16 cups = 1 gallon
1 1/4 * 12 = 15 (12 cups)
15 * 2 = 30 (24 cups)
30 + 1 1/4 = 31 1/4 (25 cups)
Brainliest please UwU
i need a huge amount f help
give the question and I will try if I couldn't srry
Donations of $ 375 in March to a homeless shelter are 250% of what they were in February. What were the donations to the shelter in February?
Answer:
I think 750
Step-by-step explanation:
250 percent more right?
A car company hires a marketing firm to advertise a particular model of car. After a year the marketing company presents the following graph to show the increase in sales resulting from their advertising campaign.
Answer:
Yes, the graph makes it appear as if sales increased three folds.
Step-by-step explanation:
The graph presented by the advertising company is misleading, as it attempts to exaggerate the effect of its advert on sales. This can be attributed to the scale which is isn't uniform.
Last year sale was about 137000 and it grew to 150000 as a result of advertisement.
But from the bar chart, it seems there was three times increase in sales.
Sara has just purchased a house. She has a $360,000, 30-year mortgage with interest at an annual rate of 5.5% a year, compounded continuously.
(a) Assume that Sara pays her mortgage continuously with a fixed amount, then her monthly payment is $___.
(b) If she pays an extra $300 each month, then she can pay off the mortgage in about years and months.
(c) Sara can save about $____by paying an extra $300 each month.
Answer:
a) $2043.14
b) 22.19 years
c) $113,995.6
Step-by-step explanation:
Value of Mortgage ( P ) = $360,000,
Loan Tenure = 30 years
Annual Interest rate = 5.5% = 0.055
monthly interest rate ( m ) = 0.055 / 12 = 0.00458
number of payments ( n ) = 30 * 12 = 360
a) Determine Sara's monthly payment given that Sara pays continuously at a fixed amount
Monthly payments ( M ) = ( P * m ( 1 + m )^n ) / (( 1 + m )^n - 1 )
= ( 360,000 * 0.00458 ( 1.00458)^360 / ((1.00458)^360 - 1 )
= $2043.14
b) when she pays a n extra $300 every month determine time ( n ) when she can pay off the mortgage
i.e. M = 2034.14 + 300 = $2334.14
calculate the value of n from the equation below
M = ( P * m ( 1 + m )^n ) / (( 1 + m )^n - 1 )
n = - In | 1 -(( Pm) /M )) |/ In | 1 + m |
= -In | 1 - (( 360,000 * 0.00458) / 2334.14 )) | / 0.0045
= -In ( 1 - 0.70638436 ) / 0.0045
= 1.225 / 0.0046 = 266.30 months = 22.19 years
c) Determine how much Sara can save
Total amount paid using fixed monthly payment = 2043.14 * 30 * 12 = $735,530.4
Total amount paid by adding an extra $3000 each month
= 2334.14 * 22.19 * 12 = $621,534.80
amount saved = 735,530.4 - 621,534.80 = $113,995.6
A new pair of jeans cost $124.97 in the sales tax rate is 9.3% you only have $140 to spend do you have enough money to purchase the jeans
Answer:
Yes, you do have enough money for the jeans.
Step-by-step explanation:
Help plz:)))I’ll mark u Brainliest
Answer:
21/35
Step-by-step explanation:
Given :
A right angled triangle with sides 28 , 35 ,21 .And we need to find the value of cos A. We know that cosine is the ratio of base and Hypotenuse. So that ,
[tex]:\implies[/tex] cos A = b/h
[tex]:\implies[/tex] cosA = 21/35
[tex]:\implies[/tex] Hence the required Answer is 21/35.Solve x^2-26=0
Answer: x=+-____
Answer:
x = ± √26
Solution
Step-by-step explanation:
Here is the Answer to your question.
A $120.00 pair of shoes at your nearby department store is marked up 4% and then is offered at 45% off. If sales tax is 13%, what is the total amount of tax that must be paid for this pair of shoes?
i need answer ASAP
Answer:
$26
Step-by-step explanation:
0.8(X - 3) = 18.4
X - 3 = 23
X = 26
Someone plzzzzz give me the answer for this. Btw I know if you add them all it would be A but there are 3 lines left then add them all. So basically just give me the answer plzzz I really need your help.
Answer:
Option D. 37¼ ft
Step-by-step explanation:
The perimeter of the figure above can be obtained by adding all the lengths of each sides together. This can be obtained as follow:
The lengths of each sides are given below:
Top = 6¼ ft
Left = 9⅛ ft
Bottom = 9½ ft
Right = 7¾ ft
Top horizontal = 9½ – 6¼
= 19/2 – 25/4
= 13/4 ft
Top height = 9⅛ – 7¾
= 73/8 – 31/4
= 11/8 ft
Perimeter = 6¼ + 9⅛ + 9½ + 7¾ + 13/4 + 11/8
= 25/4 + 73/8 + 19/2 + 31/4 + 13/4 + 11/8
= 149/4
= 37¼ ft
Thus, the perimeter of figure is 37¼ ft
Which is smaller 2.5 or.5?
HELP ME PLEASEEEEEEEEEEEEEEEEEEE
Answer:
The answer is C: Rectangular Prism
Step-by-step explanation:
How do I figure out what x equal on an adjacent angle
Answer:
Find the value of one the subtract it from 180
Step-by-step explanation:
Solve for X in interesting lines by finding the value of one adjacent angle and subtracting it from 180 degrees.
find the vertex of the graph of the following quadratic equations y=2x^2-8x+9
what is the area of the object above
Answer:
62 sq cm
Step-by-step explanation:
if you find the area of the entire shape (12x6) you can then subtract out the cut-out portion (5x2)
72 - 10 = 62
whats 7 times 8 divided by 2 i think the answer s 6 am i right or ring please tell me
Answer:
28Step-by-step explanation:
First,
7 times 8 = 7 × 8 = 56
Then,
The product divided by 2 = 56 ÷ 2 = 28
Hence,
The required answer is 28
In the formula that gives the circumference of a circle, which quantity is
multiplied by 2(pi)?
A. Radius
B. Diameter
C. Area
D. Circumference
a (radius)
saddsaasdasd
Answer:
Radius
Step-by-step explanation:
Correct answer in Ap3x. Just took the quiz.
Which is the best estimate of 2pi(2)
A. 12 B. 16 D. 20 D. 24
Answer:
Equal 12.5
choose : A. 12
Which expression is equivalent to −2(x − 3)2 + 9?
A) 2x^2 + 12x + 9
B) 2x^2 + 12x − 9
C) −2x^2 + 12x + 9
D) −2x^2 + 12x − 9
Answer:
Step-by-step explanation:
-2x + 16
Which is a stretch of an exponential decay function?
f(x) =
O f(x) =
O Rx) =
O f(x)=
The exponential function [tex]f(x)=(\frac{5}{4}) (\frac{4}{5} )^x[/tex] represent a stretch of exponential decay
Exponential functionAn exponential function is given by:
y = abˣ
where a is the initial value of y at x = 0, y, x are variables and b is the multiplication factor
If b > 1, it is an exponential growth whereas if b < 1, it is an exponential decay.
The exponential function [tex]f(x)=(\frac{5}{4}) (\frac{4}{5} )^x[/tex] represent a stretch of exponential decay
Find out more on Exponential function at: brainly.com/question/12940982
a bank loaned out $19000, part of it at the rate of 7% per year and the rest at 15% per year. if the interest received in one year totaled $2000, how much was loaned at 7%? How much of the $19000 did the bank loan out at 7%?
Answer:
10625
Step-by-step explanation:
Let x= the amount loaned at 7%
which means that the amount loaned at 15% is 19000-x (or the rest of the money)
we can write the following equation
x*.07+(19000-x)(.15)=2000
solve for x
.07x+2850-.15x=2000
-.08x= -850
x=10625
