Answers
Answer:
below
Step-by-step explanation:
Clare's mistake was the writing of 4000 in standard form
he wrote 4 ×10²
instead of 4 ×10³
Answer:
Step 1
Step-by-step explanation:
I believe Claire's mistake is when she tries to simplify 4000
She says that 4000 = 4 × 10²
4000 is actually equal to 4 ×10³
Related Questions
Suppose you wanted to find a critical test statistic for a confidence interval for the slope of the regression line. How many degrees of freedom would you need to use?
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the regression line is not given.
However, I will give a general explanation of how to calculate the degree of freedom of a slope of regression line
The degree of freedom is calculated using:
[tex]df = n - k[/tex]
Where
[tex]k \to number\ of\ parameters[/tex]
[tex]n \to sample\ size.[/tex]
For a regression line; there are two parameters that are being estimates;
The intercept and the slope. So:
[tex]k = 2[/tex]
Hence, the degree of freedom of a slope of regression line is:
[tex]df = n -2[/tex]
So; if for example
[tex]n =101[/tex]
the degree of freedom will be:
[tex]df =101 - 2[/tex]
[tex]df =99[/tex]
find the probability of spinning an A 3 times
Answers
3 × 1/12 = 3/36
Simplify
3/36 = 1/12
Find the area of the polygon shown. Enter the number into the box.
m 2
2 mi
10 mi
4 mi
12 mi
1
2
Answers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the image of the polygon is not given.
I will answer this question with the attached image (similar to your question)
The attached polygon is a trapezoid of the following dimensions.
[tex]Height = 4ft[/tex]
Parallel sides
[tex]Side\ 1 = 4ft[/tex]
[tex]Side\ 2 = 4ft+1ft = 5ft[/tex]
So, the area is:
[tex]Area = \frac{1}{2} * (Side\ 1 + Side\ 2) * Height[/tex]
[tex]Area = \frac{1}{2} * (4ft + 5ft) * 4ft[/tex]
[tex]Area = \frac{1}{2} * 9ft * 4ft[/tex]
[tex]Area = 18ft^2[/tex]
The following functions give the populations of four towns with time tt in years.
(i) P=600(1.12)^t
(ii) P=1,000(1.03)^t
(iii) P=200(1.08)^t
(iv) P=900(0.90)^t
Which town has the largest percent growth rate? What is the percent growth rate?
Answers
Solution :
Transforming given equations :
[tex]1)\ P = 600( 1 + \dfrac{12}{100})^t\\\\2)\ P = 1000( 1 + \dfrac{3}{100})^t\\\\3)\ P = 200( 1 + \dfrac{8}{100})^t\\\\4)\ P = 900( 1 - \dfrac{10}{100})^t[/tex]
From above equations we can see that equation 1) has largest percentage growth rate and the percent growth rate is 12% .
Hence, this is the required solution.
Answer: (i), 12%
Step-by-step explanation:
Given
The Population of four towns is given
(i) [tex]P=600(1.12)^t[/tex] i.e.
[tex]\Rightarrow P=600(1+0.12)^t\\\Rightarrow P=600(1+12\%)^t[/tex]
rate=12%
(ii) [tex]P=1000(1.03)^t[/tex]
[tex]\Rightarrow P=1000(1+0.03)^t\\\Rightarrow P=1000(1+3\%)^t[/tex]
rate=3%
(iii) [tex]P=200(1.08)^t[/tex]
[tex]\Rightarrow P=300(1+0.08)^t\\\Rightarrow P=300(1+8\%)^t[/tex]
rate=8%
(iv) [tex]P=900(0.90)^t[/tex]
[tex]\Rightarrow P=900(1-0.10)^t\\\Rightarrow P=900(1-10\%)^t[/tex]
rate=10% fall
So, the largest growth rate is for town (i) i.e. 12%
an international company has 16,600 employees in one country. if this represents 28.8% of the company's employees, how many employees does it have in total? round your answer to the nearest whole number
Answers
Answer:
57639 employees in total.
Step-by-step explanation:
28.8% of X = 16600
X = 16600 / 28.8%
= 16600 / 0.288
= 57638.89
=57639
Grace examines two different size bottles of the same laundry detergent. The price for the 100100100-ounce bottle is \$9.99$9.99dollar sign, 9, point, 99 and the price for the 150150150-ounce bottle is \$12.99$12.99dollar sign, 12, point, 99. How much money will Grace save per 100100100 ounces if she purchases the larger bottle
Answers
Answer:
$1.33
Step-by-step explanation:
Determine the cost per ounce of the larger bottle
cost per ounce = cost of larger bottle / total ounces
$12.99 / 150 = $0.0866
Multiply cost per ounce by 100
$0.0866 x 100 = $8.66
Subtract the above figure from 9.99
9.99 - $8.66 = $1.33
5/6+3/9 in the simplest form
HELP PLSS
Answers
Answer:
1 1/6
Step-by-step explanation:
5/6 + 3/9
Simplify 3/9 by dividing the top and bottom by 3
5/6 + 1/3
Get a common denominator of 6
5/6 + 1/3 *2/2
5/6 + 2/6
7/6
Rewriting
6/6 +1/6
1 1/6
5/6 can’t be simplified but 3/9 can so it’s 1/3 but if you have to add them, use 6 as the common denominator as 3 is a factor then do 1x3 = 3 so it’s simplified to 5/6 + 2/6 = 7/6
Pls Help I will give brianleist
Answers
Answer:
Solution given:
side1=2units
side2=8units
height[h]=6units.
now
area of trapezoid=½h(side1+side2)=½*6(8+2)=
30units².
A person takes a multiple-choice exam in which each question has five possible answers. Suppose that the person has no idea about the answers to three of the questions and simply chooses randomly for each one.
Required:
a. What is the probability that the person will answer all three questions correctly?
b. What is the probability that the person will answer exactly two questions correctly?
c. What is the probability that the person will answer exactly one question correctly?
d. What is the probability that the person will answer no questions correctly?
e. Suppose that the person gets one point of credit for each correct answer and that 1/3 point is deducted for each incorrect answer. What is the expected value of the person’s score for the three questions?
Answers
Answer:
a. 0.008 = 0.8% probability that the person will answer all three questions correctly.
b. 0.096 = 9.6% probability that the person will answer exactly two questions correctly.
c. 0.384 = 38.4% probability that the person will answer exactly one question correctly.
d. 0.512 = 51.2% probability that the person will answer no questions correctly.
e. The expected value of the person’s score for the three questions is -0.2.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the person answers it correctly, or they do not. The probability of a person answering a question correctly is independent of any other question. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Each question has five possible answers.
Person has no idea which option is correct, so the probability of answering correctly is:
[tex]p = \frac{1}{5} = 0.2[/tex]
Three questions:
This means that [tex]n = 3[/tex]
a. What is the probability that the person will answer all three questions correctly?
This is [tex]P(X = 3)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{3,3}.(0.2)^{3}.(0.8)^{0} = 0.008[/tex]
0.008 = 0.8% probability that the person will answer all three questions correctly.
b. What is the probability that the person will answer exactly two questions correctly?
This is [tex]P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{3,2}.(0.2)^{2}.(0.8)^{1} = 0.096[/tex]
0.096 = 9.6% probability that the person will answer exactly two questions correctly.
c. What is the probability that the person will answer exactly one question correctly?
This is [tex]P(X = 1)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 1) = C_{3,1}.(0.2)^{1}.(0.8)^{2} = 0.384[/tex]
0.384 = 38.4% probability that the person will answer exactly one question correctly.
d. What is the probability that the person will answer no questions correctly?
This is [tex]P(X = 0)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.2)^{0}.(0.8)^{3} = 0.512[/tex]
0.512 = 51.2% probability that the person will answer no questions correctly.
e. Suppose that the person gets one point of credit for each correct answer and that 1/3 point is deducted for each incorrect answer. What is the expected value of the person’s score for the three questions?
The expected number of correct answer is:
[tex]E(X) = np = 3*0.2 = 0.6[/tex]
And the expected number of wrong answers is 3 - 0.6 = 2.4. So, the expected score is:
[tex]S(x) = 0.6 - \frac{2.4}{3} = 0.6 - 0.8 = -0.2[/tex]
The expected value of the person’s score for the three questions is -0.2.
What is the volume of the cone in the diagram?
Answers
Answer:
471.24
Step-by-step explanation:
V=πr2h/3
radius = 5 and length = 18
answer = 471.24
please mark me brainliest!!
Answer:
The answer Plato wants is 150Pi,
Step-by-step explanation:
please answer both questions thanks
Answers
Answer:
1. tan(65) = x/3
x = 3tan(65)
= 6.434
≈ 6.4
(nearest 10th)
2. cos(43) = AB/17
AB = 17cos(43)
= 12.433
≈ 12.43
(nearest 100th)
Wei has 150.00 to make a garland using 60-cent balloons
Answers
Answer:
The answer is 0.60b + 0.30w = 150; 60 + 0.30w = 150
Step-by-step explanation:
Find the domain and range of the function y = √x-3 + 6
Answers
Answer:
Domain: [tex][3,\infty)[/tex]
Range: [tex][6,\infty)[/tex]
Step-by-step explanation:
I assume you mean [tex]y=\sqrt{x-3} +6[/tex]?
Take note of how x cannot be less than 3 because it would result in a negative number under the radical, which isn't real. However, x CAN be 3 because [tex]\sqrt{3-3}+6=\sqrt{0}+6=0+6=6[/tex] which is real.
Therefore, the domain of the function is [tex][3,\infty)[/tex]
As for the range of the function, we saw previously that the minimum of the domain resulted in the minimum of the range, which was 6.
Therefore, the range of the function is [tex][6,\infty)[/tex]
See attached graph below for a visual.
Nancy ate 34 ounces of cake. How much cake did she eat?
A. 1.500 lb.
B. 2.125 lb.
C. 2.500 lb.
D. 2.750 lb.
Nancy ate 34 ounces of cake. How much cake did she eat?
A. 1.500 lb.
B. 2.125 lb.
C. 2.500 lb.
D. 2.750 lb.
Answers
Answer:
the answer would be B: 2.125lb.
Answer: B; 2.125lb
Step-by-step explanation: 34 ounces to pounds is 2.13lb (rounded, the exact number is 2.125lb
If a normal distribution has a mean of 104 and a standard deviation of 6, what is the z-score for a value of 110?
A. 1.5
B. 2
C. 1
D. 0.5
Answers
Answer: 1.5
mean: 104
S.D: 6
110-104/6=1.5
There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get? (enter your answer as a fraction or mixed number)
Answers
Answer:
3 1/3 each
Step-by-step explanation:
10/3=3 1/3
3 liters = 3.000 ml so 3.000(ml) : 10(students) =300 ml which is 0.3 liters
What’s the ara of each figure?
Answers
Answer:
433 in.²
Step-by-step explanation:
Divide the figure into 2 rectangles
Area of the figure = area of the bigger rectangle + area of smaller rectangle
✔️Area of bigger rectangle = L*W
L = 29 in.
W = 13 in.
Area of the bigger rectangle = 29*13
= 377 in.²
✔️Area of the smaller rectangle = L*W
L = 7 in.
W = 8 in.
Area of the bigger rectangle = 7*8
= 56 in.²
✅Area of the figure = 377 + 56 = 433 in.²
Question 21
Find the volume.
Answers
Answer:
C
4712 cm³ exactly
Step-by-step explanation:
10² * pi is the area of the circle
then just multiply with the height
Answer:
C. 1500π ≈ 4710 cm³
Step-by-step explanation:
Volume = πr²h
Volume = π * 100 * 15
Volume = 1500π ≈ 4710 cm³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
11. If Kaleb has 26 candy bars and sells them for $2.50 each, how much money will he
make if he sells half of the candy bars.
Answers
Answer:
$32.50
Step-by-step explanation:
The total amount of candy bars is 26. Half of that is 13. 13 times the $2.50 for each is $32.50.
5th grade math. correct answer will be marked brainliest
Answers
Answer: How are we going to point it?
Step-by-step explanation:
Mason randomly chooses a card from a standard deck of playing cards. What is the probability that it is not an ace, given it is a red card
Answers
Answer:
there are 52 cards in a deck so the chance is a red card (or not a red card) is 26 out of 52.
Step-by-step explanation:
The solution is 12/13
The probability that the selected card is not an ace but a red card is 12/13
What is Probability?
The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
The value of probability lies between 0 and 1
Given data ,
Let the probability of the selected card is not an ace but a red card be P
Now , the equation will be
Mason randomly chooses a card from a standard deck of playing cards
So , the probability that the card is a red card is
There are 26 red cards in the deck of 52 cards
So , the probability of selecting a red card = 26/52
Now , from the 26 red cards , the probability that the card is not an ace would be = 26 - ( Ace of hearts + Ace of diamonds )
And ,
The probability of the selected card is not an ace but a red card P = 24/26
The probability of the selected card is not an ace but a red card P = 12/13
Therefore , the value of P is 12/13
Hence , the probability is 12/13
To learn more about probability click :
https://brainly.com/question/17089724
#SPJ2
i hat is the slope 6/-10 and 3/-13
Answers
Answer:
1
Step-by-step explanation:
Assuming your mean we have the points
(6, -10) and ( 3, -13)
We can use the slope formula
m = (y2-y1)/(x2-x1)
m = ( -13 - -10)/( 3 - 6)
= (-13+10)/( 3-6)
= -3 / -3
= 1
what does this function show at x=1?
A. removable discontinuity
B. Jump discontinuity
C. Infinite discontinuity
D. Continuity
Answers
Answer:
c
Step-by-step explanation:
yeah tha answer is c I can't explain it rn but for now put c
in a function hall chairs were arranged in 20 rows and 15 columns on day 1 the next day same chairs were arranged in different numbers of rows and colums
Answers
Answer:
What exactly is the question?? u only gave the statement -_-
Step-by-step explanation:
true or false m angle 1 <m angle 7
Answers
Answer:
False
Step-by-step explanation:
There might be a chance I am wrong though sorr for the inconvinience
pls help I need a good grade
Answers
Answer:
D
Step-by-step explanation:
because in standard form the first number can not be greater than 10 above 10 it should be in points. e.g. D must be 6.12×10^5
In Triangle QRS, Angle R is a right angle, m angle Q = 57° and QS = 35. Which of the following expressions correctly
calculates the length of line QR ?
Answers
9514 1404 393
Answer:
(3) 35·cos(57°)
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
For the given triangle, this is ...
cos(57°) = QR/QS
Multiplying by QS gives ...
QS·cos(57°) = QR
Filling in the value of QS, we have ...
QR = 35·cos(57°)
how many liters of a 40% alcohol solution must be mixed with a 65% solution to obtain 50 L of a 50% alcohol solution
Answers
Step-by-step explanation:
Question 264138: How many liters of a 40% alcohol solution must be mixed with a 65% solution to obtain 20 liters of a 50% solution? x=8 gallons of 65% solution is used. 20-8=12 gallons of 40% solution is used.
please mark as brainliest
X^2-10x = −16 solution??
Answers
(x-8)(x-2)=0
x = 8 or 2
x^2-2x-8x+16=0
x(x-2)-8(x-2)=0
(x-2)(x-8)
x=2,8
What is 10 percent in 66