Answer: The variance of their weights = 9,752,155,009 kg.
Step-by-step explanation:
The variance is the square of the standard deviation . it measures the spread between data values in a data set.So if standard deviation of 10 subjects = 98753 kg
Then, variance = [tex](9 8753 )^2\ kg=9,752,155,009\ kg[/tex]
Hence, the variance of their weights = 9,752,155,009 kg.
Two balls are to be pulled from a vase that contains 7 red balls 9 green balls and 2 black balls. After the first ball Is drawn, it is not the replaced. What is the probability that two black balls are chosen from the vase?
Answer:
[tex]\frac{1}{153}[/tex]
Step-by-step explanation:
There are a total of 7 + 9 + 2 = 18 balls in the vase, therefore, when not replacing the first ball, there would be 18 · 17 = 306 ways to pull 2 balls. There are 2 ways to choose the first black ball and then 1 way to choose the second black ball so there are 2 · 1 = 2 ways to choose 2 black balls. Therefore, the probability is 2 / 306 = [tex]\frac{1}{153}[/tex].
If apples cost $1.18/lb, how many grams (g) of apples may be purchased for $20.00? Round to 3 Digits.
Answer:
Step-by-step explanation:
First calculate how many pounds of apples you can buy for 20 dollars.
20/1.18 = 16.949 pounds
Now convert that to grams
1 pound = 454 grams
16.949 = x
Cross multiply
1 x = 16.949 * 454
x = 7694.915 grams.
Round to 3 digits
9690 grams.
Identify the function's local and absolute extreme values, if any, saying where they occur. f(x) = x^3 + 4x^2 - 3x - 4 A) local maximum at x = -1/3; local minimum at x = 3 B) local maximum at x = -1; local minimum at x = 1 C) local maximum at x = -3; local minimum at x 1/3 D) local maximum at x = -1; local minimum at x = 1
Answer: C) local maximum at x = -3; local minimum at x = 1/3
Step-by-step explanation:
Given the function:
f(x) = x^3 + 4x^2 - 3x - 4
Set f'(x) = 0
f'(x) = 3x² + 8x - 3
f'(x) = 0
3x² + 8x - 3 = 0
Using the quadratic function calculator :
x = - 3 or x = 1/3
Critical points = - 3 ; 1/3
To find the maximum and minimum points :
f''(x) = 6x + 8
Substitute the values of X in
At x = - 3
6(-3) + 8
-18 + 8 = - 10
At x = 1/3
6(1/3) + 8
2 + 8 = 10
Value of f''(x) at - 3 is negative, hence - 3 is the maximum point
Value of f''(x) at 1/3 is positive , hence 1/3 is the minimum point
Find the decimal that is equivalent to: 4/11
Answer:
0.3636 repeating
Step-by-step explanation:
When you divide them, it is 0.36363636 going on forever.
use the graph of the function to find the domain and range of f
Answer:
Step-by-step explanation:
Domain: since x begins to the right of x = -2 and ends at x =2, the domain is (-2, 2]
Range: The smallest y value shown is y = -5 and the largest is y = 4. Thus, the range is [-5, 4].
You are part of a construction company that is supposed to build houses. An architect has left you plans to build houses on each island. Bridges connect the islands. Island A and Island B have a total of 30 houses. Island A and Island C have a total of 40 houses. Island B and Island C have a total of 36 houses. A total of 53 houses is to be built on the three islands. Determine how many houses are to be built on each island. Show how to represent the problem in each of the following ways and solve them. (This is the verbal description, use sentences to explain) I. Concrete or pictoral representation II. Graph III. Algebraic Formula IV. Table
Answer:
Island A=17 house
Island B= 13 house
Island C=23 house
Step-by-step explanation:
Island AB=30 house
Island AC=40 house
Island BC=36 house
Island ABC=53 house
53 - 30= 23 house which is the total of house on island c
53-40=13 house which is the Total of house on island b
53-36=17 house which is the Total of house on island A
1. Name the property the equation illustrates.
–2.1 × 1 = –2.1
Multiplication Property of –1
Inverse Property of Multiplication
Identity Property of Addition
Identity Property of Multiplication
2. Name the property the equation illustrates.
8.2 + (–8.2) = 0
Inverse Property of Multiplication
Addition Property of 0
Identity Property of Addition
Inverse Property of Addition
Answer:
1) ident. prop. of mult.
2) add. prop. of add.
Step-by-step explanation:
have a good day!
Can somebody help me and show yo work please
Answer:
17
Step-by-step explanation:
A= 5 B= 3 C=4
Substitute each number to the right letter
4 + (5^2 + 3) -15
Square 5
4 + (25 + 3) -15
Do parentheses first
4 + 28 - 15
32 - 15
Answer = 17
Write each percent as a fraction
170%
120%
220%
Answer:
Step-by-step explanation:
1.17/10
2.6/5
3.11/5
answers:
170% as a fraction is [tex]\frac{17}{10}[/tex] or 1 [tex]\frac{7}{10}[/tex]
120% as a fraction is [tex]\frac{6}{5}[/tex] or 1 [tex]\frac{1}{5}[/tex]
220% as a fraction is [tex]\frac{11}{5}[/tex] or 2 [tex]\frac{1}{5}[/tex]
hope this helps! best of luck <3
Marsha was shopping for a new dishwasher and researched the different models she could afford. Using Marsha’s frequency distribution table, determine the median price for dishwashers. Price,p($) Frequency,f 250 2 275 4 280 1 290 2 310 6 315 2 320 1 325 7 330 1 335 1 340 1 350 2
Answer
310
Step-by-step explanation:
add them all up and divide by 12
9. All state names have at least two syllables. True or false
Answer:
False
Step-by-step explanation:
Only six states have two syllables in their name.
No, only six states have at least two syllables.
Here,
We have to check the given statement '' All state names have at least two syllables'' is true or false.
What are states which have at least two syllables?
There are only 6 states have at least two syllables.
1. Georgia.
2. Kansas.
3. New York.
4. Texas.
5. Utah.
6. Vermont.
Now,
There are only 6 states have at least two syllables.
Hence,
The given statement '' All state names have at least two syllables'' is false.
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Sara received 73 votes, Ben received 23 fewer than Sara. How many students voted? How many votes did Ben receive?
A class of 128 students from civil, mechanical and electrical engineering backgrounds is divided into 2 sections (sections A and B). Section A contains of 18 civil engineers and a total of 50 students. Section B contains 44 mechanical engineers. There are a total 40 civil engineers and 60 mechanical engineers in the class. What is the probability that a random electrical engineering student is from section A
Answer:
The probability is 0.5714
Step-by-step explanation:
This is a probability question. We are interested in calculating the probability that a random electrical engineering student is from section A.
Mathematically the probability will be;
Number of electrical engineering students in section A/ Total number of electrical engineering students in both sections
Total number of electrical engineering students = 128 - 60 -40 = 28
Now let’s calculate the number of electrical students from section A
Number of mechanical and electrical = 50-18 = 32
Now, there are a total of 60 mechanical engineers and 44 in B; So the number of mechanical engineers in A = 60-44 = 16
So the number of electrical engineers in A = 32-16 = 16
So the probability will be;
16/28 = 4/7 = 0.5714
William read 15 books in 6 months. What was his rate of reading in months per book? {pls i need help}
Answer:
His rate would be 2.5 books per month
What is the product?
Answer:
20s³ + 50s² + 32s + 6
Step-by-step explanation:
( 4s + 2 ) ( 5s² + 10s + 3)
use the distribution property:
20s³ + 40s² + 12s + 10s² + 20s + 6
combine like terms:
20s³ + 50s² + 32s + 6
therefore
the expand value = 20s³ + 50s² + 32s + 6
I dont understand this
Answer:
Nell's mom's
Step-by-step explanation:
That's a lot even if you devide, you can see the difference easier
mom= 30/2 = 15
dad = 65/5 = 13
The lesser milk the mother had made her chocolate more chocolatery, and you can see that she has a 0.2 more than the father
Answer:
The correct answer is Nell's mom.
Step-by-step explanation:
Nell's mom makes chocolate syrup with 30 ml for every chocolate syrup for every 2 ounces of milk.
Nell's dad adds 65 ml of chocolate syrup for every 5 ounces of milk.
To compare who makes a more chocolaty drink we need to have same amount of milk.
Least common multiple of 2 and 5 is given by 10.
Thus in 10 ounces of milk, Nell's mom adds 30 × 5 = 150 ml of chocolate syrup.
In 10 ounces of milk, Nell's dad adds 65 × 2 = 130 ml of chocolate syrup.
Thus on comparison we can say Nell's mom adds more chocolate syrup and hence makes a more chocolaty milk.
calculate the pay for the following day of a weekly time card given a wage $13/hr
HELP PLEASE
Answer:
$130
Step-by-step explanation:
The person gets $13 and hour and works for 10 hours 15 minutes. You round down to 10 hours and 10x13=130.
Hope this helps.
The required wage or pay for the day of the weekly time card is $113.75.
Given that,
A table has been shown,
Describing the working hours,
pay per hour = $13/hr.
Daily wage to be determined
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements.
The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
Here are the total working hour,
= 4:00 + 4:45
= 8:45 hours or (8 + 3/4) hours
Wage per hour = $13/hour
= 13 * 35/4
= $113.75
thus, the required wage or pay for the day of the weekly time card is $113.75.
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Mr. Stewart bought a new battery for his car. The battery cost $72. Since batteries are a taxable item, he had to pay a sales tax of 7.5%. What was the total cost of the battery in dollars and cents?
Mr. Stewart spent $77.40 on his new car battery.
Answer: $77.40
Step-by-step explanation:
First you take the 7.5% and turn it into a decimal and to do that you have to divide 7.5 by 100 which gives you .075. You then multiply 72 by .075 to know how much money you will pay with tax and you get $5.40. then you add $5.40 to $72 to get the total coast of the battery, which is $77.40.
The total cost of the battery was $77.40.
The sum of three consecutive multiples of 4 is 444. Find these multiples.
Step-by-step explanation:
Let the first multiple of 4 be x and second multiple be (x + 4) and third multiple be (x + 8) ...[Since, the number are consecutive multiple of 4]
☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}\\[/tex]
[tex]:\implies \sf x \: + \: x \: + \: 4 \: + \: x \: + \: 8 \: = \: 444 \\ \\ \\ [/tex]
[tex]:\implies \sf 3x \: + \: 12 \: = \: 444 \\ \\ \\ [/tex]
[tex]:\implies \sf 3x \: = \: 444 \: - \: 12 \\ \\ \\ [/tex]
[tex]:\implies \sf 3x \: = \: 432 \\ \\ \\ [/tex]
[tex]:\implies \sf x \: = \: \dfrac{432}{3} \\ \\ \\ [/tex]
[tex]:\implies\underline{ \boxed{\sf x \: = \: 144}} \\ [/tex]
_________________Therefore,[tex]\bullet\:\:\textsf{First multiple of 4 = x = \textbf{144}} \\ [/tex]
[tex]\bullet\:\:\textsf{Second multiple of 4 = x + 4 = 144 + 4 = \textbf{148}} \\ [/tex]
[tex]\bullet\:\:\textsf{Third multiple of 4 = x + 8 = 144 + 8 = \textbf{152}}[/tex]
what are strategies to find rational numbers
You are baking cookies for your family. You have 12 family members and you have baked 5 cookies so far. Write an equation to find the additional
number of x of cookies you need to bake. Then solve for x.
Answer:
7 cookies
hope this helped you
please mark as the brainliest (ㆁωㆁ)
PLEASE HELP PRECALC WHAT IS THE SECOND ROW MULTIPLIED BY?
Answer:
the answer is .5 i think
AHHHH please help answer and I’ll give you points
Answer: Yes She is correct
Step-by-step explanation:
A water bird is flying 11 feet above the surface of a pond.
It dives 15 feet down and then rises 3 feet to catch a fish.
What is the new position of the bird relative to the
surface of the water?
0.4x+3=0.2(3x+1)−x someone plz help
Answer:
x =-3.5
Step-by-step explanation:
0.4x+3=0.2(3x+1)−x
Distribute
.4x +3 = .6x+.2 -x
Combine like tersm
.4x+3 = -.4x+.2
Add .4x to each side
.4x+3 +.4x = -.4x +.2 +.4x
.8x +3 =.2
Subtract 3 from each side
.8x+3-3 = .2-3
.8x = -2.8
Divide each side by .8
.8x/.8 = -2.8 /.8
x =-3.5
Answer:
x=-3.5
Step-by-step explanation:
Determine whether the relation represents y as a function of x
2x+y^2=6
Answer:
rabi pati le crabby pati vi qui faste un fadi xx
Find two consecutive whole numbers that √56 lies between (PLEASE HELP NEED ASAP!!!)
Answer:
8 and 7
Step-by-step explanation:
because the square root of something is something used in math
Choose the expression that completes the equation. 24 ÷ 6 + 20 =______
Hey there!
ANSWER: [tex]24[/tex]EXPLANATION:[tex]\text {Choose the expression that completes the equation}\\24/6+20=?[/tex]
To complete the equation, we will need to use the order of operations(PEMDAS). Let's start with division since that's the highest in the order.
[tex]24/6=4[/tex]
Now let's addition since that's all that is left.
[tex]4+20=24\\24(ANSWER)[/tex]
So now let's complete the equation.
[tex]24/6+20=24(ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
Help ASAP please please
Answer:
5/6
Step-by-step explanation
can someone answer this please.
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{12\pi \: mm}}}}}[/tex]
Step-by-step explanation:
[tex] \star[/tex] Radius of a circle ( r ) = 6 mm
[tex] \star[/tex] Circumference of a circle ( C ) = ?
Finding the circumference of a circle having radius ( r ) of 6 mm
[tex] \boxed{ \sf{circumference \: of \: a \: circle = 2\pi \: r \: }}[/tex]
[tex] \hookrightarrow{ \sf{circumference = 2 \times \pi \: \times \: 6}}[/tex]
[tex] \hookrightarrow{ \sf{circumference = 12\pi \: \: mm}}[/tex]
Circumference of the given circle = 12π mm
Hope I helped!
Best regards ! :D
~TheAnimeGirl