Answers
Answer:
Area = 2.33 mm²
Explanation:
Perimeter of quarter circle = 14.28
But
Perimeter of quarter circle = 2πr+2r
So
2πr+2r = 14.28
6.3r+2r = 14.28
8.3r = 14.28
r = 14.28/8.3
r = 1.7 mm
Now the Area
Area of quarter circle = 1/4(πr²)
= 1/4(3.14)(1.7)²
= 1/4(3.14)(2.97)
= 1/4(9.34)
= 2.33 mm²
Related Questions
Maths Fractions Questions! How to do? Will mark the BRAINLIEAST!
Answers
Answer:
1. 5 packets
2. 3/8
1. 4/5 to 16/20
1/4 to 5/20
1/10 to 2/20
16- (2*5)= 16-10= 6
6/2 = 3 packets
2 pack.+3 pack.= 5 packets
2. 1/2= .5
.5*3/4=.375
.375=3/8
What is 0.03% written as a decimal?
O A. 0.3
O B. 0.0003
O C. 0.003
O D. 0.03
Answers
The percentage 0.03% when it is written as a decimal is equivalent to 0.0003.
What are decimals?
A decimal is a number that is made up of integers and non-integers. The whole numbers are separated from numbers that are not whole number by a decimal point.
0.03% is equal to 0.03/100.
0.03/100 is equal to 0.0003
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Which of the following are true? If false, explain briefly.
​a. A very high​ P-value is strong evidence that the null hypothesis is false. ​
b. A very low​ P-value proves that the null hypothesis is false. ​
c. A high​ P-value shows that the null hypothesis is true.
d. A​ P-value below 0.05 is always considered sufficient evidence to reject a null hypothesis.
Answers
Answer:
The correct options are;
a. False
b. True
c. True
d. False
Step-by-step explanation:
We look at each of the options as follows
a. A very high p-value is strong evidence that the null hypothesis is false;
The above statement is false because the p-value indicates the likelihood of the null hypothesis being correct, therefore, a high p-value is indicative of the correctness (truth) of the null hypothesis
b. A very low p-value shows that the null hypothesis is false
The above statement is true
c. A high p-value shows that the null hypothesis is true
The above statement is true
d. A P-value below 0.05 is always considered sufficient evidence to reject a null hypothesis.
The above statement is false as the p-value below which we reject the null hypothesis is dependent on the value of the significance level, α.
One t-shirt is sold for every 5 people who attend a concert.what is one way to write the unit rate in words?
Answers
1 T-Shirt for every 5 people
First of all, B & C are wrong, because they say 5 T-shirts for one person.
Next, we will look at A & D. A is more grammatically correct, and so you should use A.
OR
Answer:
The last one
Help me please thanks
Answers
Answer:
7
Step-by-step explanation:
Work backwards:
(37-9)÷4=input
28÷4=input
input=7
The input was 7
48 divided by 4=6
The answer is 6
rudo is making pizzas he needs 3/4 cup of cheese to make one whole pizza. he has 2/8 cup of cheese
Answers
Answer: He can make 1/3 of pizza.
Step-by-step explanation: Divide 2/8 by 3/4. When you divide fractions you need to keep the first number exactly as it is and change the sign to multiplication and flip the second number. It is going to be 2/8 times 4/3. Which is 8/24 and if you simplify it, divide 8 and 24 by 8, and the answer is 1/3.
The required solution is 1/3.
It is required to find the remaining part to make one whole pizza.
What is fraction?A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.
Given:
He has 2/8 cup of cheese.
Divide 2/8 by 3/4.
When you divide fractions you need to keep the first number exactly as it is and change the sign to multiplication and flip the second number. It is going to be 2/8 times 4/3. Which is 8/24 and if you simplify it, divide 8 and 24 by 8, and the answer is 1/3.
Therefore, the required solution is 1/3.
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A box contains 2 red marbles, 3 white marbles, 4 green marbles, and 1
blue marble. Two marbles, one after the other, are drawn at random
WITHOUT replacement. Find the probability of: selecting a green marble
on the second draw if the first marble is blue *
1/6
2/13
4/9
1/9
Answers
Answer:
Solution is 4/9
Explanation:
A box contains:
2 red marbles,
3 white marbles,
4 green marbles,
1 blue marble.
=> Total: 2 + 3 + 4 + 1 = 10
After selected a blue one without replacement, the remaining number: 10 - 1 = 9
=> Probability of drawing a green one: P = 4/9.
Hope this helps!
:)
The rate of change of the number of squirrels S(t) that live on the Lehman College campus is directly proportional to 30 − S(t), where t is the time in years. When t = 0, the population was 15, and when t = 2, the population increased to 20. Find the population when t = 3.
Answers
Answer:
S(3)=22
Step-by-step explanation:
The rate of change of the number of squirrels S(t) that live on the Lehman College campus is directly proportional to 30 − S(t).
[tex]\dfrac{dS}{dt}=k(30-S(t))\\ \dfrac{dS}{dt}+kS(t)=30k\\$The integrating factor: e^{\int k dt}=e^{kt}\\$Multiply all through by the integrating factor\\ \dfrac{dS}{dt}e^{kt}+kS(t)e^{kt}=30ke^{kt}[/tex]
[tex](Se^{kt})'=30ke^{kt} dt\\$Integrate both sides\\ Se^{kt}=\dfrac{30ke^{kt}}{k}+C$ (C a constant of integration)\\Se^{kt}=30e^{kt}+C\\$Divide both sides by e^{kt}\\S(t)=30+Ce^{-kt}[/tex]
When t=0, S(t)=15
[tex]15=30+Ce^{-k*0}\\C=15-30\\C=-15[/tex]
When t = 2, S(t)=20
[tex]20=30-15e^{-2k}\\20-30=-15e^{-2k}\\-10=-15e^{-2k}\\e^{-2k}=\dfrac23\\$Take the natural log of both sides$\\-2k=\ln \dfrac23\\k=-\dfrac{\ln(2/3)}{2}[/tex]
Therefore:
[tex]S(t)=30-15e^{\frac{\ln(2/3)}{2}t}\\$When t=3$\\S(t)=30-15e^{\frac{\ln(2/3)}{2} \times 3}\\S(3)=21.8 \approx 22[/tex]
I need the answer here is the question:
Write the fraction in simplest form . And the picture ☝
Answers
Find the greatest common factor between 8 and 14, which is 2. Then divide both numbers by 2 and u get 4 and 7. Thus 8/14=4/7
Answer:
i need points sorry
Step-by-step explanation:
nfefgrn
In ΔGHI, the measure of ∠I=90°, IG = 6.8 feet, and HI = 2.6 feet. Find the measure of ∠G to the nearest degree.
Answers
Answer:
[tex]\angle G=20.8\approx 21^{\circ}[/tex]
Step-by-step explanation:
Given: In ΔGHI, [tex]\angle I[/tex]=90°, IG = 6.8 feet, and HI = 2.6 feet
To find: [tex]\angle G[/tex]
Solution:
Trigonometry defines relationship between the sides and angles of the triangle.
For any angle [tex]\theta[/tex],
[tex]tan\theta[/tex] = side opposite to [tex]\theta[/tex]/side adjacent to [tex]\theta[/tex]
In ΔGHI,
[tex]tan G=\frac{HI}{GI}[/tex]
Put [tex]HI=2.6 \,\,feet\,,\,GI=6.8\,\,feet[/tex]
So,
[tex]tan G=\frac{2.6}{6.8}=0.38[/tex]
Therefore, [tex]\angle G=20.8\approx 21^{\circ}[/tex]
Answer:
G=24.6236≈24.6
For the polynomial 17x2 – x: (3 marks)
a. identify the terms
b. identify the coefficients of each term
c. name the polynomial
Answers
Answer:
See below
Step-by-step explanation:
Given polynomial is: [tex] 17x^2 - x[/tex]
a. Terms: [tex] 17x^2, \: \&\: - x[/tex]
b. 17 and - 1
c. Binomial or quadratic polynomial
Figure 2 was constructed using figure 1. For the transformation to be defined as a rotation, which statements must be true? Select three options. The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2). The transformation is rigid. Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2. Segment CP is parallel to segment CP'. If figure 1 is rotated 180° about point C, it will be mapped onto itself.
Answers
Answer:
all but the last two
Step-by-step explanation:
Rotation is a rigid transformation that moves every point of a figure through the same rotation angle about the center of rotation. Each point has the same distance from the center it had before the rotation. Hence the following are true:
The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2). The transformation is rigid. Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.__
Statements that do not apply are ...
- Segment CP is parallel to segment CP'. (A segment to the center of rotation will only be parallel to the corresponding segment on the image if the rotation is a multiple of 180°.)
- If the figure is rotated 180° about C, it will be mapped to itself. (This will be true in general only if C is a center of rotational symmetry of even order.)
Answer:
A,B,C
Step-by-step explanation:
I'm sure cause I got it right depends what your Edgenu is, mine is 2020
g(-2) for
g(x)=2x^3 3x^2 =4
PLEASE ANSWER THIS YOU WILL GET 20 POINTS I NEED HELP ASAP THANK YOU SO MUCH
Answers
Answer:
g(-2)
g(x)=2x^3 3x^2 =4
i'm not exactly sure what you are asking for but if its something like
g(x)=2x^3+3x^2-4 and then g(-2)
then you just have to multiply
2(-2)^3=-16
+3(-2)^2-4=8
=-8
2(-2)^3=-16
2(-2)^3-+3(-2)^2-4
=-32
simplify the equation below and find the value of x
4/2x-5)= 20
Answers
Answer:
x=13/5
Step-by-step explanation:
~Help me with this please it’s a math test answer correctly and I will mark as BRANLIEST and I will give you 55 points!!
Answers
Answer:
the weight of 1 textbook is 2 pounds
the weight of 1 game is about 0.5 pounds
Step-by-step explanation:
1/2 of 2 = 0.5 pounds
0.5 times 8 (games) = 4
22 - 4 = 18
18 divided by 9 (textbooks) = 2 pounds
Answer:
Each game is 0.5 pounds and each textbook is 2 pounds.
Step-by-step explanation:
If x represents games and y represents textbooks you can use the equation
6x + 9y = 21
we know that if the box was 21 pounds and she adds two games and it's now 22 pounds that each game is 0.5 pounds so x = 0.5
after plugging in the x value the equation is:
3 + 9y = 21
Combine like terms and it's 9y = 18
Divide 18 by 9 and you get:
Y= 2
Hope this helps! Good luck on your test.
.
1. Instant Meals sent out free samples to introduce its new product, Sesame soup. Each
sample weighs 69 ounces. The post office charges thirty-six cents for every 23 ounces of
weight. How much would Instant Meals spend on postage to mail out one hundred eighty-eight
samples? include the $ sign
Answers
Answer:
$203.04
Step-by-step explanation:
First, you have to calculate the cost of sending one free sample and you could use a rule of three to find it:
23 onces → $0.36
69 onces → x
x=(69 onces*$0.36)/23 onces= $1.08
Then, you can multiply the cost of sending one free sample for the quantity of samples Instant Meals wants to mail out:
$1.08*188= $203.04
According to this, the answer is that Instant Meals would spend $203.04 on postage to mail out one hundred eighty-eight samples.
Wafa drove 420 kilometers using 18 liters of gas. At this rate, how many liters of gas would she need to drive 357 kilometers?
Answers
Answer:
15.3 litres
Step-by-step explanation:
You can do this many different ways, but this is how i did it:
1) I'm going to find how much gas it takes to travel just 1 km.
So, to drive for 1 km, I only need 18/420 litres of gas.
*you can solve this, but you'll just get a really long decimal, so i find it easier just to keep it as a fraction until i'm at the end of solving.
2) Now times the amount of petrol it takes to travel 1 km by 357, to find the final answer.
18/420 x 357 = 15.3 litres
Hope that helped : )
Approximately 12.6% of all (untreated) Jonathan apples had bitter pit in a study conducted by the botanists Ratkowsky and Martin. (Bitter pit is a disease of apples resulting in a soggy ore, which can be caused either by overwatering the apple tree or by a calcium deficiency in the soil.) Let n be a random variable that represents the first Jonathan apple chosen at random that has bitter pit.(a) Write out a formula for the probability distribution of the random variable n. (Use p and n in your answer.)P(n) = (b) Find the probabilities that n = 3, n = 5, and n = 12. (Use 3 decimal places.)P(3) P(5) P(12) (c) Find the probability that n ≥ 5. (Use 3 decimal places.)(d) What is the expected number of apples that must be examined to find the first one with bitter pit? Hint: Use μ for the geometric distribution and round.
Answers
Answer:
Step-by-step explanation:
Let n be a random variable that represents the first Jonathan apple chosen at random that has bitter pit.
a) P(X = n) = q(n-1)p, where q = 1 - p.
From the information given, probability if success, p = 12.6/100 = 0.126
b) for n = 3, the probability value from the geometric probability distribution calculator is
P(n = 3) = 0.096
For n = 5, the probability value from the geometric probability distribution calculator is
P(n = 5) = 0.074
For n = 12, the probability value from the geometric probability distribution calculator is
P(n = 12) = 0.8
c) For n ≥ 5, the probability value from the geometric probability distribution calculator is
P(n ≥ 5) = 0.58
d) the expected number of apples that must be examined to find the first one with bitter pit is the mean.
Mean = 1/p
Mean = 1/0.126 = 7.9
Approximately 8 apples
a =
2
4
b =
(3
-2
Work out 3a + b as a column vector.
Answers
Answer:
As a column vector 3a +b = (9,10)
Step-by-step explanation:
A =
(2
4)
b =
(3
-2)
3a = 3*2 = 6
3*4= 12
3a + b = 6. + 3
12. +(-2)
3a +b = 9
10
As a column vector 3a +b = (9,10)
A researcher wishes to estimate the proportion of left-handed people among a certain population. In a random sample of 820820 people from the population, 22.722.7% are left-handed. Find the margin of error for the 95% confidence interval for the population proportion. Round to four decimal places.
Answers
Answer:
The margin of error for the 95% confidence interval for the population proportion is of 0.0287.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Find the margin of error for the 95% confidence interval for the population proportion.
We have that [tex]n = 820, p = 0.227[/tex]
So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.227*0.773}{820}} = 0.0287[/tex]
The margin of error for the 95% confidence interval for the population proportion is of 0.0287.
In a game of rolling a die. If the number showing is even, you win $3, if the number showing is 1 you win $3 and if the number showing is either 3 or 5 you win nothing. Let x be the amount you win,
i. list the probability distribution of x.
ii. What is the amount of dollar you expect to win?
Answers
Answer:
(a)
[tex]\left|\begin{array}{c|c|c}---&---&---\\x&\$0&\$3\\---&---&---\\P(x)&\dfrac13&\dfrac23\\---&---&---\\\end{array}\right|[/tex]
(b)$2
Step-by-step explanation:
In the given game of rolling a die. these are the possible winnings.
If the number showing is even(2, 4, or 6) or 1, you win $3.If the number showing is either 3 or 5 you win $0.There are 6 sides in the die.
[tex]P($obtaining a 1,2,4 or 6)=\dfrac46=\dfrac23\\P($obtaining a 3 or 5)=\dfrac26=\dfrac13[/tex]
(i)The probability distribution of x.
Let x be the amount won
Therefore:
Probability distribution of x.
[tex]\left|\begin{array}{c|c|c}---&---&---\\x&\$0&\$3\\---&---&---\\P(x)&\dfrac13&\dfrac23\\---&---&---\\\end{array}\right|[/tex]
(ii) Expected amount of dollar won
Expected Amount
[tex]=\sum x_iP(x_i)\\=(0*\dfrac13)+(3*\dfrac23)\\=\$2\\[/tex]
You would expect to win $2.
which interval describes the range of this function?
Answers
Answer:
Range. The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. In plain English, the definition means: The range is the resulting y-values we get after substituting all the possible x-values
Step-by-step explanation:
If a person is randomly selected, find the probability that his or her birthday is not on New Year's Day. Ignore leap years.
Answers
Answer:
Ignoring leap years, May has 31 days, a year has 365 days. 334 days of the year are NOT in May so the probability of a birthday not being in May = 334/365 = approximately 91.5%
Step-by-step explanation:
The probability of event A which represents that the man's birthday is not on New Year's Day is 0.99.
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur. Mathematically -
P(A) = n(A)/n(S)
Given is a person who is randomly selected.
Assume that Event A represents that the man's birthday is not on New Year's Day.
Total number of days in a year = n(S) = 365
Total number of days not on New Year's Day = n(A) = 364
Therefore, the probability that the man's birthday is in May will be -
P(A) = n(A)/n(S)
P(A) = 364/365
P(A) = 0.99
Therefore, the probability of event A which represents that the man's birthday is not on New Year's Day is 0.99.
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simplify 4x/7-x/21 find
Answers
The answer is 11x/21
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Answer:
[tex] \frac{11x}{21} [/tex]
Step-by-step explanation:
[tex] \frac{4x}{7} - \frac{x}{21} \\ = \frac{12x - x}{21} \\ = \frac{11x}{21} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Solve the quadratic equation 3x²+2x-4=0
Answers
Answer:
Step-by-step explanation:
Hello,
[tex]\Delta = 2^2-4*3*(-4)= 4+48=52[/tex]
so the two solutions are
[tex]\dfrac{-2+2\sqrt{13}}{2*3}=\dfrac{\sqrt{13}-1}{3}=0.87\\\\\dfrac{-2-2\sqrt{13}}{2*3}=-\dfrac{\sqrt{13}+1}{3}=-1.54\\\\[/tex]
I Really Need Help with this not good with graphs
Answers
Answer:
D
Step-by-step explanation:
The one dot that is a lot farther away from the rest of the points is an outlier so the answer is D.
The “line of best fit” for a scatterplot is the line that __________.
Answers
Answer:
Scatter plots are used to plot data points on a horizontal and a vertical axis in the attempt to show how much one variable is affected by another. Each row in the data table is represented by a marker whose position depends on its values in the columns set on the X and Y axes
Step-by-step explanation:
Please answer this correctly
Answers
Answer:
1570f³t
Step-by-step explanation:
V=πr²h
V=3.14×10²×5
V=3.14×100×5
V=314×5
V=1570
In a science class, 40% of the students received a grade of A, 30% received a grade of B, and 20% received a grade of C on a project. The others fell short of a passing grade. a. If 12 students received an A, how many students were in the science class? b. How many students received a failing grade?
Answers
Answer:
30 students are in the science class and 3 students recieved a failing grade.
Answer:
30, 3
Step-by-step explanation:
a. Let's call the total students x. If 40% x = 12, 0.4x = 12, x = 12/0.4 = 30 students.
b. We know that 100 - 40 - 30 - 20 = 10% of all students failed. This is 10% * 30 = 0.1 * 30 = 3 students.
~Help me with this please! I will mark as BRANLIEST and if you answer correctly there would be a 55 point question for you!!!
Answers
Answer:
Simply here we use system of 2 equations.
Step-by-step explanation:
Let x be the cost of one small shirt and let y be that of one large shirt.
(4x +14y =210) (-3)
12x +11y =110
-12x - 42y= -630 note:cross 12x and - 12x
12x +11y =110
__________
-42y +11y = - 630 +110
-31y = -520
Y=520/31
Replace y in second equation:
12x +11y =110
12x +11(520/31) =110
12x +5720 =110
12x =110 - 5720/31
X= - 385/62
So one small shirt costs - 385/62 $
And a large one costs 520/31 $
Though I think there's something wrong in this problem since i verified my answer using calculator the same prices are obtained and as u see the cost of a small shirt is negative which is unbelievable.. So plz make sure from anyone else. I tried my best to help.
