Answer:
It's about 962.89 cm^2
Answer:
962.89cm^2
Step-by-step explanation:
So, in this question, you have to find the radius of the circle because the area of a circle = πr^2. So first, you find r^2, and to do that, you divide 110 by π and you get 35.0140874802, now divide that by two and you get 17.5070437401 and that is your radius. Now, you do 17.5070437401 to the power of 2 (17.5070437401^2) and you get 306.496580518. Now multiply that by π and you get 962.89.
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the student council at mountain view high school plans to conduct a survey to determine the student body's opinion of the new lunch menu. which of the following sampling methods would be most likely to result in self-selection bias?
A. obtaining an alphabetical list of all students and surveying every 10th student
B. setting up a booth in the lunchroom where students can give theirthoughts
C. handing out a questionnaire to students leaving campus at lunchtime
D. handing out a questionnaire to seniors only
The sampling method that would be most likely to result in self-selection bias is given by:
D. handing out a questionnaire to seniors only
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, in option D, only seniors are involved, that is, it does not involve all segements, hence it would be most likely to result in self-selection bias.
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Answer: C. handing out a questionnaire to students leaving campus at lunchtime
Step-by-step explanation:
Find the missing factor. Write your answer in
exponential form.
5^-7 = ___ X 5^-9
Answer
5^- 7=X 5^- 9 X = 7 9
Which of the following statements are TRUE? SELECT ALL THAT APPLY.
Answer:
b d e a im not fore sure tho
Step-by-step explanation:
PLEASE HELP EASY ASSIGNMENT!!! ( Kami )
Find the Interquartile Range for the following test scores: 98, 93, 75, 86, 79, 82, 77 (Remember to put in order)
What are the exact solutions of x2 − 3x − 5 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a? x = the quantity of negative 3 plus or minus the square root of 29 all over 2 x = the quantity of 3 plus or minus the square root of 29 all over 2 x = the quantity of 3 plus or minus the square root of 11 all over 2 x = the quantity of negative 3 plus or minus the square root of 11 all over 2
Answer:
B. x = the quantity of 3 plus or minus the square root of 29 all over 2Step-by-step explanation:
Given equation
x² - 3x - 5 = 0The roots are
[tex]x=\cfrac{-b+- \sqrt{b^2-4ac} }{2a}[/tex]Substitute values into equation
[tex]x=\cfrac{3+- \sqrt{(-3)^2-4(1)(-5)} }{2(1)} =\cfrac{3+- \sqrt{9+20} }{2} =\cfrac{3+- \sqrt{29} }{2}[/tex]This is matching the option B
Answer:
[tex]x=\dfrac{3 \pm \sqrt{29}}{2}[/tex]
Step-by-step explanation:
Given equation:
[tex]x^2-3x-5=0[/tex]
To find the exact solutions of the given equation, use the quadratic formula or complete the square.
Method 1: Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]
Therefore:
[tex]a=1, \quad b=-3, \quad c=-5[/tex]
Substituting these values into the formula:
[tex]\implies x=\dfrac{-(-3) \pm \sqrt{(-3)^2-4(1)(-5)} }{2(1)}[/tex]
[tex]\implies x=\dfrac{3 \pm \sqrt{29}}{2}[/tex]
Method 2: Completing the square
Move the constant to the right side by adding 5 to both sides:
[tex]\implies x^2-3x-5+5=0+5[/tex]
[tex]\implies x^2-3x=5[/tex]
Add the square of half the coefficient of x to both sides:
[tex]\implies x^2-3x+\left(\dfrac{-3}{2}\right)^2=5+\left(\dfrac{-3}{2}\right)^2[/tex]
[tex]\implies x^2-3x+\dfrac{9}{4}=\dfrac{29}{4}[/tex]
Factor the perfect trinomial on the left side:
[tex]\implies \left(x-\dfrac{3}{2}\right)^2=\dfrac{29}{4}[/tex]
Square root both sides:
[tex]\implies \sqrt{\left(x-\dfrac{3}{2}\right)^2}=\sqrt{\dfrac{29}{4}}[/tex]
[tex]\implies x-\dfrac{3}{2}=\pm\dfrac{\sqrt{29}}{2}[/tex]
Add 3/2 to both sides:
[tex]\implies x-\dfrac{3}{2}+\dfrac{3}{2}=\pm\dfrac{\sqrt{29}}{2}+\dfrac{3}{2}[/tex]
[tex]\implies x=\dfrac{3 \pm \sqrt{29}}{2}[/tex]
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The truck left for delivery at 7:15 a.m. and
traveled a total of 45 minutes. It also spent 1/3
hour to drop off the package. How many
minutes in all did the truck take to complete the
delivery?
Answer:
45+1/3 (all 1/3 is 1/3 of an hour, so do 60/3 to get 20) meaning that 45+20 is 65 minutes or an hour and 5 minutes
Step-by-step explanation:
WHAT IS 4=34
WHAT IS 4=76
Answer: Both are algebra expressions
Step-by-step explanation:
Which of the following are roots of the polynomial function?
Check all that apply.
F(x) = x3 + 3x2 - 9x+ 5
O A. -5
OB. 1 + 3
O C. 3+2
O D. 1-3
O E. 1
O F. 3 - 2
Answer:
1 and -5
Step-by-step explanation:
[tex]~~~~~x^3+3x^2-9x+5=0\\\\\implies x^3-x^2+4x^2-4x-5x+5=0\\\\\implies x^2(x-1)+4x(x-1)-5(x-1)=0\\\\\implies (x-1)(x^2 +4x -5) = 0\\\\\implies (x-1)(x^2+5x -x -5) = 0\\\\\implies (x-1)[x(x+5) -(x+5)] =0\\\\\implies (x-1)(x-1)(x+5)= 0\\\\\implies (x-1)^2(x+5) = 0\\\\\implies x = 1,~~ x = -5[/tex]
Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. The 200 students in group 1 were asked to spend 5 minutes thinking about what it would mean to be a professor, while the students in group 2 were asked to think about soccer hooligans. These pretest thoughts are a form of priming. The students in group 1 had a mean score of with a standard deviation of , while the students in group 2 had a mean score of with a standard deviation of . Complete parts (a) and (b) below.
Lower bound is : 2.70 and upper bound is 3.30
a)There is a 90% probability that the difference of the means is in the interval
b) Since the 90% confidence interval does not contain zero, the results suggest that priming does have an effect on scores.
What is Critical Value?Critical values are essentially cut-off values that define regions where the test statistic is unlikely to lie; for example, a region where the critical value is exceeded with probability if the null hypothesis is true.
Given that:
a) [tex]n_1[/tex]=200, [tex]x_1[/tex]=23.9, [tex]s_1[/tex]=4.7
[tex]n_2[/tex]=200, [tex]x_2[/tex]=18.8, [tex]s_2[/tex]=4.5
The (1-α )% confidence interval for the difference between two mean is:
CI= [tex]x_1-x_2\pm\; t_\frac{\alpha }{2},(n_1+n_2-2\sqrt{\frac{s_1^{2}}{n_1}+\frac{s_2^{2}}{n_2} }[/tex]
the Critical value of 't' will be:
α/2=0.05/2=0.025
Degrees of freedom = [tex]n_1+n_2\\[/tex]-2= 200=200-2=398
[tex]t_{\alpha /2,_(n_1+n_2-2)}= t_{0.025,398}[/tex]=1.96
CI=23.9-18.8±1.96 [tex]\sqrt{\frac{4.7^{2}}{200}+\frac{4.5^{2}}{200} }[/tex]
= 3±0.3089
= (3.3089,2.6911)
≈(3.30, 2.70)
Thus, 90% confidence interval (3.30, 2.70) implies that the true mean difference value is contained in the interval with probability 0.90.
The Lower bound is : 2.70 and upper bound is 3.30
Thus, There is a 90% probability that the difference of the means is in the interval.
b)The difference between means, null value is 0.
As the null value is 0 and not in the interval, which shows that there is a difference between the two means, concluding that priming does have an effect on scores.
Hence, Since the 90% confidence interval does not contain zero, the results suggest that priming does have an effect on scores.
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If EH = w and GH = 4w - 51, what is GH?
Answer:
Step-by-step explanation:
EH=w
then it is as simple as pluggin in
gh=4(eh)-51
What is the volume of this figure?
2520 in³
1638 in³
1323 in³
935 in³
Answer:
935
Step-by-step explanation:
Let's solve the rectangle first. We are dividing this figure into two sepreate shapes, can you see that?
-
1/2*B*h
630
-
Now for the other shape.
Volume = 315
630+315=935
Answer: 1323
Step-by-step explanation: took test with proof and more
please help this is my last question
Answer:
Step-by-step explanation:
The area must be 232 in^2
In a lab experiment, 30 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 4 hours. How many bacteria would there be after 26 hours, to the nearest whole number?
QUICK AND CORRECT PLS!
Answer:
2715 bacteria
Step-by-step explanation:
This is a simple exponential function. We are given that the initial value is 30, that the value doubles every 4 hours.
Thus, we have our function: [tex]y=30*2^{x/4}[/tex]
Plugging in 26 for x, we get 2715.29004 => 2715 bacteria.
In a motor alignment, the following pieces of steel are used under the base: one piece 5/16 inch thick, one piece 5/8 inch thick, one piece 5/32 inch thick, and one piece 5/64 inch thick, and one piece 564 inch thick. What is the total thickness of all these pieces?
Answer:
1 11/64 inches
Step-by-step explanation:
Total thickness
5/16 + 5/8 + 5/32 + 5/6420/64 + 40/64 + 10/64 + 5/6475/641 11/64 inchesWrite the standard form of the equation of a circle with radius 3 and center (11, 3)
Answer:
x² - 22x + y² - 6y + 121 = 0
Step-by-step explanation:
General Form of Equation
(x - h)² + (y - k)² = r²Solving
(x - 11)² + (y - 3)² = (3)²x² - 22x + 121 + y² - 6y + 9 = 9x² - 22x + y² - 6y + 121 = 0Answer:
(x+11)2+(y−3)2=81
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Step-by-step explanation:
which expresion is equivilenet to 3/24
Answer:
1/8
Step-by-step explanation:
divide both sides by 3
What is the 35th term in this sequence? 2, 7, 12
Answer:
172
Step-by-step explanation:
Formula to find the nth term =
a+(n-1)d
2+(35-1)*5
= 2+170
= 172
There is 80% milk in 400 litre misture of milk and water. What will be the percentage of milk in the new mixture when 80 litre more water is added in the mixture?
Step-by-step explanation:
[tex] \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \error \\ \madeindonesia[/tex]
Write the following as an inequality.
-2 is greater than x, and - 7 is less than or equal to x
Use x only once in your inequality.
Answer:
see below
Step-by-step explanation:
-2> x ≥ -7 can be written as -7 ≤ x < -2
you roll a fair number cube find probability of p(2, then2
You roll a fair number of cube. The Probability of P(2 then 2) would be 1/36.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
Here is a complete description You roll a fair number cube to find probability of p(2, then2)
Given the sample space for a die
S = (1, 2,3,4,5,6) = 6
The Probability of 2 then 2 = (1/6) x (1/6)
= 1/36
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Please help! If you dont know, then dont answer please and thank you
Answer:
327.5
Step-by-step explanation:
What are the dimensions of a rectangle with an area of 72 square centimeters and a perimeter of 36 cenmeter
Answer:
6cm by 12cm
Step-by-step explanation:
To find a list of the possible dimensions we can factor 72, as the dimensions of the rectangle must multiply to the area of 72
1 * 72
2 * 36
3 * 24
4 * 18
6 * 12
8 * 9
Now we can use the perimeter to find which pair is the correct answer, as the dimensions must satisfy the formula 2(Length + Width) = 36 (our perimeter)
We can see that the dimensions 6 and 12 give us our area of 72, and they do make a rectangle with the perimeter 36. This means that the dimensions of the rectangle are 6cm and 12cm.
A girl is given 500 stamps to start a collection . If she adds 5 stamps a week , how many will she have at the end of n weeks ?
Answer:
T=(5×n)+500
Step-by-step explanation:
T=Total Stamps
In this case, there is no need to find the answer. All you need is the equation. N would be the multiplier in this case because it's the one that's changing since you're using a variable. If 3 weeks were to pass, then N would equal 3 weeks.
In a random sample of 2500 sports fans, 61% prefer basketball over soccer.
What is the Margin of error in this survey?
Margin of error = [m]%
The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The Margin of error in this survey is 1%.
What is the margin of error?The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.
The random sample of 2500 sports fans, out of which 61% prefer basketball over soccer, therefore, we can write n=2500 and p=0.61. Thus, the margin of error can be written as,
[tex]MOE=\sqrt{\dfrac{\hat p(1-\hat p)}{n}} = \sqrt{\dfrac{0.61(1-0.61)}{2500}} = 0.00975 = 0.975\% \approx 1\%[/tex]
Hence, the Margin of error in this survey is 1%.
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mean, mode, median, and range for numbers 4, 5, 6, 9, 13, 14, 14, 14, 15
Answer:
mean: 10.4
mode: 14
median: 13
range: 11
Step-by-step explanation:
To find a mean, add up all the numbers of the data set and divide them by the number of numbers.
To find a mode, just search for the number used the most in the data set.
To find a median, search for the number right in the middle of the data set (if there are 2 numbers in the middle, the median is the average of those 2 numbers.)
To find a range, order all the numbers of the data set from lowest to highest. Then subtract the lowest number from the highest number. :)
Find the reference angle for 4pi/7
Find the Reference Angle (4pi)/7 4π 7 4 π 7 Since the angle 4π 7 4 π 7 is in the second quadrant, subtract 4π 7 4 π 7 from π π.
Thus, [tex]\frac{3\pi }{7}[/tex] is your answer
Find the volume of the shape.
Round to 2 decimal places.
22 cm
14 cm
Answer:
The volume is about 1,128.88 cubic cm.
Step-by-step explanation:
[tex] \frac{1}{3} \pi( {7}^{2} )(22) = 1128.88[/tex]
Can someone help please?
See attached. The box-and-whisker plot gives us all the information we need to solve.
Minimum: 13
Maximum: 35
Range: 22
-> 35 - 13 = 22
Median: 20.5
Solve the inequality and describe the solution set
12x = 36, WRONG LOOK AT THE PICTURE THAT I PUT.
