Answer:
77 boxes
Step-by-step explanation:
Take the total number of boxes to be sold and divide by the number of girls in the troop
1000/13
76.92307692
Round up
77
Each girl must sell 77
77*13 =1001
Consider the frequency distribution below, which has single values as classes: Value Frequency 10 11 12 13 14 15 16 17 18 19 20 21 1 3 7 18 10 4 2 7 16 10 6 2 Construct a new frequency distribution for this data with 4 classes.
The original table (attached to this response) shows single values as classes.
To construct a new frequency distribution for this data with 4 classes, follow these steps:
i. Starting from the least value (which is 10) create groups each of 4 values. For example, the first group will contain 10, 11, 12 and 13. Therefore, we have a class of 10 - 13.
The second group will contain 14, 15, 16 and 17. Therefore, we have a class of 14 - 17
The third group will contain 18, 19, 20 and 21. Therefore, we have a class of 18 - 21
ii. Get the frequency of these classes, we add the frequencies of the members of the class.
For example,
Class 10 - 13 will have a frequency of (1 + 3 + 7 + 18) = 29
Class 14 - 17 will have a frequency of (10 + 4 + 2 + 7) = 23
Class 18 - 21 will have a frequency of (16 + 10 + 6 + 2) = 34
The new table has been attached to this response.
PLEASE HELP W THIS I WILL Give YOU THE BRAINLIEST PLEASE ! - What does it mean to have a skewed distribution? What causes a skew in statistical terms? And how does one deal with skewed data when conducting research? Are there specific types of
research questions and types of data where one would expect the data to be skewed?
Answer:
Explained below
Step-by-step explanation:
A) A skewed distribution in a dataset is when the median is not equal to the mean in such a manner that the bell curve is tilted to the left or right.
B) If in a data set, if there are outliers which are extremely large or extremely small in comparison to other values in that same dataset, then we can say that such a curve will be pulled towards the outlier and thus the distribution is skewed.
Also, if the curve is inclined to the left, it means there are few extreme values to the left and it is negatively skewed.
Similarly, if the curve is inclined to the right, it means there are few extreme values to the right and is positively skewed.
C) Example of a research question is;
If in a developed country where the poverty level is about 0%, if we collect the data of income of the households, we will discover majority of people with average income and very few people with extreme high levels of income. This condition means the data is positively skewed.
The distance between major cracks in a highway follows an exponential distribution with a mean of 5 miles. (a) What is the probability that there are no major cracks in a 10-mile stretch of the highway
Answer:
[tex]P(Y=0) = 0.1353[/tex]
Step-by-step explanation:
From the question we are told that:
Exponential distribution mean [tex]\=x = 5 miles[/tex]
Distance [tex]d=10miles[/tex]
Generally the equation for Exponential distribution is mathematically given by
[tex]\lambda=\frac{1}{E(X)}[/tex]
[tex]\lambda=\frac{1}{5}[/tex]
Therefore
Possion Y
[tex]10\lambda=10*(1/5)[/tex]
[tex]10\lambda=2[/tex]
Generally the equation for The probability that there are no major cracks in a 10 mile stretch of the highway is mathematically given by
[tex]P(Y=0) = \frac{e-2 (2)0}{0!}[/tex]
[tex]P(Y=0) = e-2[/tex]
[tex]P(Y=0) = 0.1353[/tex]
7.296÷2.4
full answer please
Enlarge the triangle by scale factor -1/3 with centre (-1,2)
PLEASE CAN SOMEONE HELP?????????????/
The coordinates of the image after a dilation by scale factor -1/3 with center (-1, 2) are (0, 2), (0, 4), and (-1, 4).
What is dilation?In Geometry, dilation can be defined as a type of transformation which typically changes the size of a geometric object, but not its shape.
Next, we would have to dilate the coordinates of the pre-image by using a scale factor of -1/3 centered at the point (-1, 2) by using this mathematical expression:
(x, y) → (k(x - a) + a, k(y - b) + b)
For coordinate A, we have;
Coordinate A = (-4, 2) → (-1/3(-4 - (-1)) + (-1), -1/3(2 - 2) + 2)
Coordinate A = (-4, 2) → (-1/3(-4 + 1) - 1, -1/3(2 - 2) + 2)
Coordinate A' = (1, 1) → (0, 2)
For coordinate B, we have;
Coordinate B = (-4, -4) → (-1/3(-4 - (-1)) + (-1), -1/3(-4 - 2) + 2)
Coordinate B = (-4, -4) → (-1/3(-4 + 1) - 1, -1/3(-4 - 2) + 2)
Coordinate B' = (1, 1) → (0, 4)
For coordinate C, we have;
Coordinate C = (-1, -4) → (-1/3(-1 - (-1)) + (-1), -1/3(-4 - 2) + 2)
Coordinate C = (-1, -4) → (-1/3(-1 + 1) - 1, -1/3(-4 - 2) + 2)
Coordinate C' = (1, 1) → (-1, 4).
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A jacket costs £72 after
a 10% price cut. What
was the original price?
Answer:
£80
Step-by-step explanation:
80-(10%x80)=72. hope this helps
if ABCD is a cyclic quadrilateral and A,B,C,D are its interior angles , then prove that
tanA/2+tanB/2=cotC/2+cotD/2
answer the question plz
dont spam or else i will report that
9514 1404 393
Explanation:
In a cyclic quadrilateral, opposite angles are supplementary. This means ...
A + C = 180° ⇒ A/2 +C/2 = 90° ⇒ C/2 = 90° -A/2
B + D = 180° ⇒ B/2 +D/2 = 90° ⇒ D/2 = 90° -B/2
It is a trig identity that ...
tan(α) = cot(90° -α)
so we have ...
tan(A/2) = cot(90° -A/2) = cot(C/2)
and
tan(B/2) = cot(90° -B/2) = cot(D/2)
Adding these two equations together gives the desired result:
tan(A/2) +tan(B/2) = cot(C/2) +cot(D/2)
rewrite x+2y=-4 in slope intercept
Answer:
y= - 1/2 x-2 ( SEE IMAGE BELOW)
Step-by-step explanation:
FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.
Answer:
How do you write
x+2y=4
into slope intercept form?
Answer is:
y=−12x+2
Step-by-step explanation:
Slope intercept form can be represented as
y=mx+b
To get an equation into this form, we should try to get y all alone.
So then from x+2y=4
first, we can subtract x from both sidesand get 2y=−x+4
then, we can divide both sides by 2 to get it in slope intercept form
y=−12x+2
I think is like this. Hope it helps>3
The hardware store where you work charge 80 cents including tax, for a pound of nails. A customer purchases 5 3/4 pound of nails. How much should you charge the customer for nails?
Answer:
$4.60
Step-by-step explanation:
1 lb ---> 80 cents
5 3/4 lb ---> 5 3/4 * 80 cents
[tex] 5 \dfrac{3}{4} \times 80 = [/tex]
[tex] = \dfrac{23}{4} \times \dfrac{80}{1} [/tex]
[tex] = \dfrac{23 \times 80}{4 \times 1} [/tex]
[tex] = \dfrac{1840}{4} [/tex]
[tex] = 460 [/tex]
460 cents = $4.60
Please can you help me
Answer:
[tex]x = 24.75[/tex]
Step-by-step explanation:
Required
Find x
To find x, we have:
[tex]\angle PQR + \angle RPQ + \angle QRP = 180[/tex] -- angles in a triangle
Because [tex]\bar {PR}[/tex] is extended to S, then:
[tex]\angle QRS = \angle QRP[/tex]
So, we have:
[tex]2x + 6 + x - 7 + 5x -17 = 180[/tex]
Collect like terms
[tex]2x + x + 5x = 180 + 17 + 7-6[/tex]
[tex]8x = 198[/tex]
Divide by 8
[tex]x = 24.75[/tex]
y+4x=7 find the missing coordinates for a(-3,) and b (5,)
Answer:
-3 1
Step-by-step explanation:
How many one-to-one correspondences are there between two sets with
6 elements each?
Answer:
6 * 5 * 4 * 3 * 2 * 1, i.e. 6! or 720. Of course, since both sets have the same number of elements, you can't have one-to-one without being onto, aka a surjection, so “one to one correspondence” is the right term (or bijection—merci, M.
Step-by-step explanation:
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100%sure
Please help me in this! you get 30 points!
Answer:
y=3x-2
Step-by-step explanation:
You can verify it's not D because the y-intercept is at -2.
You can verify it's not A because that would mean the x-intercept is 2 despite it appearing to be closer to one.
You can verify it's not B because that would mean the x-intercept is 1.5
27. A 35 foot long tube is cut into two pieces with ratio 4:5 Find the length of the shorter piece.
a) 9 feet
b) 16 feet
c) 12 feet
d) 20 feet
The length of the shorter piece is 15.55 feet.
Concept:Firstly, we will assume the ratio in which this tube is cut.Then, we will substitute the ratio and solve for the lengths of the two pieces.How to solve the given question?As the tube is cut into a ratio of 4:5, Let the length of the shorter piece be 4k and the longer piece be 5k.Total length of tube = 35 feetThus, the length of the shorter piece is 15.55 feet.
As none of the options matches the answer, all options are incorrect.
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Researchers believe that 24.5% of the adults in the United States are obese. A Gallup poll examined the rate of obesity in America with a survey 86,664 randomly sampled U.S. adults. Of the adults surveyed, 23,053 said that they were obese. Is this enough evidence to state that more than 24.5% of all adults in the U.S. are obese
Answer:
The p-value of the test is 0 < 0.05(standard significance level), which means that this is enough evidence to state that more than 24.5% of all adults in the U.S. are obese
Step-by-step explanation:
Researchers believe that 24.5% of the adults in the United States are obese. Test if there is enough evidence to state that more than 24.5% of all adults in the U.S. are obese.
At the null hypothesis, we test if the proportion is of 24.5% or less, that is:
[tex]H_0: p \leq 0.245[/tex]
At the alternative hypothesis, we test if this proportion is greater than 24.5%, that is:
[tex]H_1: p > 0.245[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.245 is tested at the null hypothesis:
This means that [tex]\mu = 0.245, \sigma = \sqrt{0.245*0.755}[/tex]
Survey 86,664 randomly sampled U.S. adults. Of the adults surveyed, 23,053 said that they were obese.
This means that [tex]n = 86664, X = \frac{23053}{86664} = 0.266[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.266 - 0.245}{\frac{\sqrt{0.245*0.755}}{\sqrt{86664}}}[/tex]
[tex]z = 14.37[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion of 0.266 or higher, which is 1 subtracted by the p-value of z = 14.37.
The p-value of z = 14.37 is 1.
1 - 1 = 0
The p-value of the test is 0 < 0.05(standard significance level), which means that this is enough evidence to state that more than 24.5% of all adults in the U.S. are obese
The table shows the displacement-time data for a ship relative to a shore.
t(hours) 2.95 3.15 3.75 3.95 3.99 4.00
s(0 (miles) 14.95 17.61 27.23 31.01 31.80 32.00
Estimate the instantaneous velocity of the ship at t = 4 hours.
A.
20.00 mi./h.
B.
20.15 mi./h.
C.
20.25 mi./h.
OD.
20.50 mi./h.
Answer:
Step-by-step explanation:
Somebody help me with this
Answer:
3x4 +x3+ 15x2+30x-14
Step-by-step explanation:
The mapping shows a relationship between input and output values.
Answer:
where is the photo
Step-by-step explanation:
circle o has diameter ab and chord ac. calculate the measure of cab id bc = 62⁰
Answer:
sin62 =0.883Step-by-step explanation:
0.883=1/0.836=1.133
The measure of ∠CAB is 31⁰.
Given that,
Circle O has diameter AB and chord AC.
We have to determine,
The measure of ∠CAB if BC is 62⁰.
According to the question,
The measurement of the required angle by using circle properties following all the steps given below.
The measure of the BC is 62 degrees.
If the circle has diameter AB and chord AC,
Then,
By the property of the circle,
[tex]\rm m\angle CAB = \dfrac{1}{2} \times BC \\[/tex]
Substitute the value of the BC in the equation,
[tex]m\angle CAB = \dfrac{1}{2} \times BC \\\\ m\angle CAB = \dfrac{1}{2} \times 62 \\\\ m\angle CAB = 31 \ degree \\\\[/tex]
Hence, The measure of ∠CAB is 31⁰.
For more details refer to the link given below.
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Find two consecutive integers whose sum is 901.
the answer is :
x+1 and x+2
Answer:
900+1=901
Step-by-step explanation:
2 times the difference between 49.5 and 37.5
Answer:
24
Step-by-step explanation:
diff is 12
12x2 is 24
milligrams would you administer?
17. How many milligrams of Rocephin are left in a vial containing
Rocephin 2 grams after 750 milligrams are removed?
Answer:
1250 miligrams.
Step-by-step explanation:
Simple conversion, 2 grams = 2000 miligrams - 750 milligrams = 1250 miligrams.
What is the line of symmetry for the parabola whose equation is y = -x2 + x + 3?
x = -1
x = -1/2
x = 1/2
Answer:
[tex]x = \frac{1}{2}[/tex]
Step-by-step explanation:
Given
[tex]y = -x^2 + x + 3[/tex]
Required
The line of symmetry
This is calculated using:
[tex]x= -\frac{b}{2a}[/tex]
Where:
[tex]y = ax^2 + bx + c[/tex]
So, by comparison:
[tex]a = -1[/tex] [tex]b = 1[/tex] [tex]c = 3[/tex]
So, we have:
[tex]x = -\frac{1}{2 * -1}[/tex]
[tex]x = -\frac{1}{-2}[/tex]
[tex]x = \frac{1}{2}[/tex]
1/2 is correct, the formula to use is x= - b/2a :)
Given the functions below,find (f -g) (-1).
f(x) = x2 + 3
g(x) = 4x - 3
Answer:
f(x)=-1,(-1)2+3=-2+3=1g(x)=-1 4(-1)-3=4-3=1(Step-by-step explanation:
(f-g)=1
1
2
3
VX
Which is a unit rate?
4 dollars
3 cans
5 students
2 teachers
6 hours 1 book
O 3 mies 2 days
Answer:
6 hours to 1 book
Step-by-step explanation:
Which is a unit rate?
4 dollars to 3 cans
5 students to 2 teachers
6 hours to 1 book
3 miles to 2 days
A unit rate is a rate of a number to 1. The second number must be 1. The only unit rate is 6 hours to 1 book.
Answer: 6 hours to 1 book
For the following right triangle find the side length x
Step-by-step explanation:
everything can be found in the picture
Answer:
x=15
Step-by-step explanation:
Hi there!
We're given a right triangle with the measures of the 2 legs (sides that make up the right angle). We're also given the measure of the hypotenuse (the side opposite to the right angle) as x
We need to find x
The Pythagorean Theorem states that if a and b are the legs and c is the hypotenuse, then a²+b²=c²
Let's label the values of a, b, and c to avoid any confusion first
a=12
b=9
c=x
now substitute into the theorem
12²+9²=x²
raise everything to the second power
144+81=x²
add 144 and 81 together
225=x²
take the square root of 225
15=x (note: -15=x is technically also an answer, but since lengths cannot be negative, it's an extraneous solution in this case)
Therefore, the side length of x is 15
Hope this helps! :)
Q22. Solve the equation x – 25 = 25 and state which axiom do you use here.
Answer:
x=50
Step-by-step explanation:
The solution to the equation x – 25 = 25 is x = 50. The axiom used to solve the equation is the addition property of equality.
To solve the equation x - 25 = 25, we want to isolate the variable x to find its value.
Adding 25 to both sides of the equation, we get:
x - 25 + 25 = 25 + 25
Simplifying, we have:
x = 50
Therefore, the solution to the equation is x = 50.
In this case, the axiom used to solve the equation is the addition property of equality. According to this axiom, if two expressions are equal, adding the same value to both sides of the equation preserves the equality.
In the given equation, we add 25 to both sides of the equation to maintain equality and obtain the solution x = 50. The addition property of equality allows us to perform this operation and determine the value of x.
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Marc is sending his sister a parcel through the post. the parcel weighs 2.451kg. round this to 1 decimal place
Answer:
2.5 kg
Step-by-step explanation:
2.451
Find the number in the tenth place 4 and look one place to the right for the rounding digit 5.
Round up if this number is greater than or equal to 5 and round down if it is less than 5.
i need help with this
Answer:
Step-by-step explanation:
64
128°
Step-by-step explanation:
The measure of the intercepted arc is twice the measure of the inscribed angle in a circle. Since the inscribed angle is given as 64°, that means that the intercepted arc x is 2×64° = 128°
The math score for ten of Mrs. Moore's students are shown below. How many students made a score of more than 69 but less than 90?
Answer:
8
Step-by-step explanation:
first, 70-79 have 3 students
then 80-89 have 5 students
