Answer:
I think it is 370
Step-by-step explanation:
A marketing firm conducts a survey to determine the ages of their survey subjects who like a new health drink.
This is the resulting data from their survey:
49, 63, 78, 22, 41, 39, 75, 61, 63, 65,
58. 37. 45, 52, 81, 75, 78, 72, 68, 59,
72, 85, 63, 61, 75, 39, 41, 48, 59,55
61, 25, 61, 52, 58, 71, 75, 82, 49, 51
The mean age of the subjects who like the new health drink is (type your answer...)
and the median age of the subjects is (type your answer..)
Answer:
Mean = 59.1, Median = 61
(there might have been a mistake in calculation (a lot of numbers!))
Step-by-step explanation:
The sample size is 40,
Now, the formula for the mean is,
Mean = (sum of the sample values)/(sample size)
so we get,
\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)
To find the median, we have to sort the list in ascending (or descending)order,
we get the list,
22,25,37,39,39,41,41,45,48,49,
49,51,52, 52,55,58, 58, 59, 59, 61,
61, 61, 61, 63, 63, 63, 65, 68, 71, 72,
72, 75, 75, 75, 75, 78, 78, 81, 82, 85
Now, we have to find the median,
since there are 40 values, we divide by 2 to get, 40/2 = 20
now, to find the median, we takethe average of the values above and below this value,
\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)
And the (n+1)th value is the 21st value
Now,
The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,
Median = (61+61)/2
Median = 61
A baker baked 836 chocolate chip cookies and 692 oatmeal cookies. He packed the cookies into 30 boxes. Each box contained 42 cookies. How many leftover cookies were there?
Answer:
She needs a "6" number of containers. A complete solution to the question is provided below.
Step-by-step explanation:
How much would you need to deposit in an account now in order to have $3000 in the account in 15 years? Assume the account earns 3% interest compounded quarterly.
Answer:
Step-by-step explanation:
determine the number of line segments in the hundredth pattern
(its the triangle one, starts with one then two then three …..
There are 4850 line segments in the hundredth pattern of the triangular number sequence.
The pattern you're referring to is often called the triangular number sequence. In this sequence, each term represents the number of dots required to form an equilateral triangle with sides of increasing length. To determine the number of line segments in the hundredth pattern, we need to consider the number of sides and diagonals in each triangle.
Let's analyze the pattern step by step:
Pattern 1:
The first pattern consists of a single dot, which does not form any line segments.
Pattern 2:
The second pattern consists of three dots forming an equilateral triangle. It has three sides.
Pattern 3:
The third pattern consists of six dots forming an equilateral triangle. It has three sides and three diagonals.
Pattern 4:
The fourth pattern consists of ten dots forming an equilateral triangle. It has three sides and six diagonals.
We can observe that for each pattern, the number of sides remains constant at 3. However, the number of diagonals increases by one with each pattern. The formula to calculate the number of diagonals in an equilateral triangle is given by:
Number of diagonals = (n * (n - 3)) / 2,
where n represents the number of sides (which is 3 in the case of an equilateral triangle).
Using this formula, we can calculate the number of diagonals for the hundredth pattern:
Number of diagonals = (100 * (100 - 3)) / 2
= (100 * 97) / 2
= 4850.
Since each diagonal forms a line segment, the number of line segments in the hundredth pattern is equal to the number of diagonals, which is 4850.
Therefore, there are 4850 line segments in the hundredth pattern of the triangular number sequence.
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find the mean, variance, and standard deviation of sampling distribution of the sample population p=.2 and n=107
Answer:
2923 is your p is equal to 2 and n
kerry is going to use these instructions to make a fizzy drink
mix 7 parts apple juice with 3 parts lemonade
kerry thinks that she has 280ml of applejuice and 180 ml lemonade.
if kerry is correct what is the greatest amount of fizzy drink she can make?
second part:
kerry has 280 ml of applejuice but only has 160 ml of lemonade.
Does this affect the greatest amount of fizzy drink she can make?
Give a reason for your answer.
a) She can make 400 milliliters of the fizzy drink.
b) The change does not affect the greatest amount of drink.
If kerry is correct what is the greatest amount of fizzy drink she can make?We know that the fizzy drink is 7 parts apple juice and 3 parts lemonade. And Kerry thinks that she has 280ml of apple juice and 180 ml lemonade.
If we divide the total amount of apple juice in 7 parts, then each part has:
280ml/7 = 40ml
Then we need 3 parts of 40ml of the lemonade, this is:
3*40ml = 120ml
Then the total amounf of drink fizz that she can make is:
280ml + 120ml = 400ml.
b) Now she has 160 ml of lemonade, but she needs 120 ml of it, so this change does not affect the greatest amount of fizzy drink she can make.
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Chelsea earns $14.60 per hour of work. She plans to work 20 1/2 hours next week. How much money will Chelsea earn next week?
Answer:
$297.30Step-by-step explanation:
To find out how much money Chelsea will earn next week, you need to multiply her hourly wage by the number of hours she plans to work.
First, convert the number of hours to a decimal by dividing the number of minutes by 60. In this case, 20 1/2 hours is equal to 20.5 hours.
Then, multiply Chelsea's hourly wage by the number of hours she plans to work:
14.60 * 20.5 = 297.3
Therefore, Chelsea will earn $297.30 next week.
Match the following. Match the items in the left column to the items in the right column. 1. domain the first element of a relation or function; also known as the input value. 2. output a relation in which every input value has exactly one output value. 3. input the x-value of a function. 4. relation any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane. 5. function the y-value of a function. 6. range the second element of a relation or function; also known as the output value.
The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.
What is the appropriate matching of the following items?1. Domain - the first element of a relation or function; also known as the input value.
3. Input - the x-value of a function.
6. Range - the second element of a relation or function; also known as the output value.
4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.
2. Output - a relation in which every input value has exactly one output value.
5. Function - the y-value of a function.
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4). THE TEMPERATURE IN ANCHORAGE, ALASKA AT MIDNIGHT
WAS -12°F. BY NOON THE TEMPERATURE HAD RISEN 23°F. WHAT
WAS THE TEMPERATURE AT NOON?
Answer: 11 degrees F
If it was -12 and by noon it had risen 23 degrees just add the two numbers together and you get 11 degrees F
Let z = 3( cos pi/2 + i sin pi/2). Find the exact value of z^7 where 0 (less than equal to) theta (less than equal to) 2pi.
From the given value of z = 3(cos pi/2 + isin pi/2), the exact value of z⁷ is -2187i.
Given z = 3(cos pi/2 + isin pi/2)
which can be represented as 3sin(pi/2) in polar form.
Now, by applying De-Moivre's theorem,
z⁷ = (3cis(pi/2))⁷
= 3⁷cis(7pi/2)
= 3⁷cis(3pi/2) [7pi/2 --- 3pi/2 ]
To write it in complex form,
z⁷ = 3⁷(cos(3pi/2) + isin(3pi/2))
z⁷ = 3⁷(0-i) [cos(3pi/2) = 0 and sin(3pi/2) = -1]
z⁷ = 3⁷(-i)
z⁷ = -2187i
From the above explanation, we can conclude that the value of z⁷ is -2187i.
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244-33456/3456*345+13.55-2=
The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:
244 - (33456 / 3456) * 345 + 13.55 - 2
= 244 - 97.02 * 345 + 13.55 - 2
= 244 - 33494.1 + 13.55 - 2
= -33238.55
Therefore, 244-33456/3456*345+13.55-2 = -33238.55.
NEED HELP ASAP PLS AND THX (:
PIC IS ATTACHED
The composition of transformation shown in the image attached is
1. Rotation 90 degrees counterclockwise about the origin2. Reflection over the x axisWhat is transformation in math?In mathematics, a transformation refers to a change in the position, size, shape, or orientation of a geometric figure or mathematical function. Geometric transformations can be applied to shapes, such as
translations, rotations, reflections, and dilations,In the figure the first transformation is rotation about the origin 90 degrees clockwise
The second transformation, is reflection across the x axis
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Is AB congruent to CB?
Answer:
yes
Step-by-step explanation:
they are congruent
Write equations of each line in slope-intercept form
Answer:
y=4/5x1
Step-by-step explanation:
Ingrid spent $36 and had $12 left. What percent of her money did she spend?
36+12=48
36÷48×100=75
answer=75%
a pyramid and a cone are both 10 centimeters tall and have the same volume what statement
Answer: "The pyramid and the cone have the same volume despite their different shapes."
Step-by-step explanation: If a pyramid and a cone are both 10 centimeters tall and have the same volume, then the statement that can be made is:
"The pyramid and the cone have the same volume despite their different shapes."
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Which six bottle offers shampoo at $0.48 per ounce?
Answer:
The answer is 24 oz sized bottles
Step-by-step explanation:
The find the price of each ounce for the various bottles, we divide the cost by the size.
Here we go:
$5.60/8oz = $0.70 (nope)
$8.00/16oz = $0.50 (nope)
$11.52/24oz = $0.48 (yep!)
$28.80/48oz = $0.60 (nope)
Hope that helped :)
PLEASE HELP ASAP
Find the value of x. Then, find the measure of each angle.
Answer:
x = 16°
H = 46°
I = 55°
J = 39°
Step-by-step explanation:
Since the whole figure is 180°
Deduct 180 by the numbers mentioned above in order to find x.
180 - 2 - 9 - 9 = 160
3x + 4x + 3x = 10x
10 x = 160
x = 160 ÷ 10 = 16
Since we know what x is, we can find all the angles in the figure.
Angle at H = 3 x 16 - 2 = 46°
Angle at I = 4 x 16 - 9 = 55°
Angle at J = 3 x 16 - 9 = 39°
The value of x is 20.
What is Angle Sum Property?The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle. A closed shape with both inner and exterior angles, a triangle is created by three line segments. When the values of the other two angles are known, one can utilise the angle sum property to determine the measure of an unknown interior angle.
Given:
Angles are: 3x-2, 3x-9 , 4x-9
Using Angle Sum Property
3x-2 + 3x -9 + 4x- 9 = 180
10x - 20 = 180
10x = 200
x= 200/10
x= 20
Hence, the value of x is 20.
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Find the measure of DF given that DE = 8x - 2,
EF = 4x + 7, and DF = 15x - 6.
Answer
49
DF = DE + EF
8x - 2 + 4x +7 = 15x -6
12x +5 = 15x-6
-3x = -11
X = 11/3
DF = 15×11/3 -6
= 49
If Susan will be 2 times old in seven years as she was 3 years ago, what is Susan's present age?
Answer:
Let's start by assigning a variable to Susan's present age. Let's call it "x".
According to the problem, in seven years, Susan will be "x + 7" years old.
Three years ago, Susan was "x - 3" years old.
The problem tells us that Susan will be 2 times as old in seven years as she was 3 years ago. So we can set up the following equation:
x + 7 = 2(x - 3)
Now we can solve for x:
x + 7 = 2x - 6
x = 13
Therefore, Susan's present age is 13 years old.
Let's assume Susan's present age is "x" years. According to the information provided, "Susan will be 2 times old in seven years as she was 3 years ago."
Seven years from now, Susan's age would be x + 7, and three years ago, her age would have been x - 3. According to the given statement, her age in seven years will be two times her age three years ago:
x + 7 = 2(x - 3)
Let's solve this equation to find Susan's present age:
x + 7 = 2x - 6
Subtracting x from both sides:
7 = x - 6
Adding 6 to both sides:
13 = x
Therefore, Susan's present age is 13 years.
Question 2 help please
Answer:
The measure of the vertex angle is 94 degrees ⇒ A
Step-by-step explanation:
In any triangle, the sum of the measures of its interior angle is 180°In the isosceles triangle, the two base angles are equal in measures∵ In an isosceles triangle, the measure of the base angle = (2x + 5)
∵ The base angles of the isosceles triangles are equal in measures
∴ The measures of the base angles are (2x + 5), (2x + 5)
∵ The measure of the vertex angle = (5x - 1)
∵ The sum of the measure of the three angles = 180°
∴ (2x + 5) + (2x + 5) + (5x - 1) = 180
→ Add the like terms in the left side
∵ (2x + 2x + 5x) + (5 + 5 + -1) = 180
∴ 9x + 9 = 180
→ Subtract 9 from both sides
∴ 9x + 9 - 9 = 180 - 9
∴ 9x = 171
→ Divide both sides by 9 to find x
∴ x = 19
→ Substitute the value of x in the measure of the vertex angle to find it
∵ The measure of the vertex angle = 5x - 1
∴ The measure of the vertex angle = 5(19) - 1
∴ The measure of the vertex angle = 95 - 1
∴ The measure of the vertex angle = 94°
∴ The measure of the vertex angle is 94 degrees
Shaun is building a fence around his yard.The dimensions of the area he is fencing is 20.5 yd by 11.25 yd. Shaun has calculated that he will need 112 pieces of fencing to complete this project. If each piece of fencing costs $27.21, about how much will it cost Shaun to complete this project ? Justify your answer
Answer:
3047.52
Step-by-step explanation:
If you do the amount of pieces that they need is 112, and it costs 27.21 per piece, then what you have to do is 112*27.21
112 * 27.21 is 3047.52
What is the answer to 3x + 4x - 2x
Answer:
5x
Step-by-step explanation:
3x + 4x - 2x
7x - 2x
5x
And that's on periodt
Answer:
5x
\(3 + 4 - 2\)
\(7 - 2\)
\(5\)
What should be the third row in the following series of shapes
Answer:
The answer is number 2
Simplify 6x^2y^3(2x^2y)^3
Answer: 6x2y3(2x2y)3
=48x^8 y^6
Amelia grabbed 50% of the M&M's from a bowl. Then, Jess took 50% of what was left. Dominick takes 50% of the remaining M&M's. There were 3 left. How many M&M's were in the bowl before Amelia arrived.
The number of M&M's that were in the bowl before Amelia arrived is; 12
How to solve Percentage problems?Let the original amount in the bowl be x. Thus;
If Amelia grabbed 50%, then amount left = (100% - 50%)x = 50%x = 0.5x
Now, we are told that domicick took 50% of what was keft after amelia. Thus; New amount left = 100%x - (0.5x + 0.25x) = 0.25x
Now, we are told that there were finally 3 left after all the deductions. Thus;
0.25x = 3
x = 3/0.25
x = 12
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this is a very good question that the brainly ppl cant delete, WHYYYYYYY?!
and also just to make sure they dont delete it tell me what is 10^3 = to
Answer:
1000
Step-by-step explanation:
I search it it cam in a calculator
Answer:
Its 1,000
Step-by-step explanation:
10 x 10 x 10 = 1,000
What is the slope of the line that passes through the points (-4, 0) (-4, -10)
Answer:
The slope is undefined.
Step-by-step explanation:
If the x value stay the same between a set of points, the slope of the line will be undefined.
write the english phrase as an algebraic expression. Let x represent the number
The english phrase "Seven less than four times a number" as an algebraic expression is 4x - 7
Writing the english phrase as an algebraic expressionFrom the question, we have the following parameters that can be used in our computation:
seven less than four times a number
Represent the number with x
So:
four times a number means 4x
So, we have
seven less than 4x
seven less than means - 7
So, we have
4x - 7
Hence, the english phrase as an algebraic expression is 4x - 7
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Complete question
write the english phrase as an algebraic expression. Let x represent the number
Seven less than four times a number
A survey of 135 freshmen business students at a local university produced the results listed below. How many students took English and science, but not music? 26 took English; 24 took science; 25 took music; 17 took English but not science; 11 took science and music; 14 took English and music; 4 took all three
A survey of 135 freshmen business students at a local university. So, many students took English and science, but not music is 39.
Determine many students took English and science, but not musicThese are the specified parameters:
English = 26
Science = 24
Music = 25
English but not science = 17
Science and music = 11
English and music = 14
Took all theree = 4
Lots of students took English and science
Look at the venn diagram in the attachment.
26 + 24 + 25 + x - 4 + 4 + 10 + 7 = 135
x + 92 = 135
x = 135 - 92
x = 43
Lots of students took English and science, but not music
= x - 4
= 43 - 4
= 39
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