Answer:
There is a circle with a diameter[d] of 2.
Step-by-step explanation:
the Radius=diameter /2=2/2=1 units
now
circumference=2πr=2×π×1=6.29=6 units
area=πr²=3.14 unit²
3.Write the equation of the line best fit
Answer: y = -5/8x + 6
Step-by-step explanation: The line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. The line of best fit is already given in this specific question, and we just have to figure out the equation of that line. The equation can be determined using the equation y=mx+b, where "y" represents the output, "m" represents the slope (vertical change compared to the horizontal change), "x" represents the input, and "b" represents the y-intercept (where the line crosses the y-axis). Since the slope (rise over run) is -5/8 and the y-intercept is (0,6), the equation of the line of best fit is y=-5/8x+6.
Calculate the range for both sets of data:
Set A: 8.7, 1.8, 1.2, 1.4, 6.8, 0.9, 9.8
Set B: 2.7, 3.3, 8, 7.1, 4.6, 6.3
Here is an expression:4 . 3t Evaluate the expression when t is 2.
Which of the following is the quotient of the rational expression shown below? X+2/x-1 divided by 3/2x
Answer: 2x^2+4x/3x-3
Step-by-step explanation: basically simplify the original expression : got it right on the quiz
Triangle DEF, shown below, is reflected over the y-axis to form triangle D'E'F'. What are
the coordinates of F'?
(4,6)
(6,4)
(-4, -6)
(-6, -4)
Answer:
(-6, -4).
Step-by-step explanation:
When you reflect coordinates over the y-axis, the x-coordinates remain the same, but the y-coordinates become their additive inverse.
The original coordinates for F are (6, -4).
The new coordinates for F would be F' (-6, -4).
David's net worth is $45,765.78 and his assets have a value of $62,784.14. If his assets increase by $2,784.89 and his liabilities decrease by $3,742.36, what is his net worth?
Answer:
so 4,854.47
Step-by-step explanation:
What is the definition of independent samples? A. All samples of the same size have an equal chance of being selected from the population. B. The sample selected from one of the populations has no effect or bearing on the sample selected from the other population. C. The sample selected from one of the populations is paired with a sample selected from the other population.
Answer:
B. The sample selected from one of the populations has no effect or bearing on the sample selected from the other population.
Step-by-step explanation:
In statistical analysis, the use of independent samples for diverse studies is common.
Independent samples are such that the sample selected from one of the populations has no effect or bearing on the sample selected from the other population.
This means that samples are selected randomly in such a way that an observation obtained from a sample does not depend on the values obtained from the observation of another sample from the other population.
4. Given: BAC = BCA
CD bisects BCA
AE bisects BAC
Prove: ADC = CEA
help!!
Answer:
Given. 2. A bisector cuts a segment into 2. ≅ parts. 3. Intersecting lines form vertical ∠. 4. ... 3. ∠ABC = ∠ADC Angle. 4. ∆ABC ≅ ∆ADC. Reasons. 1. Given. 2. Given ... AE ≅ DF. AB ≅ CD. Prove: EC ≅ FB. Statement. 1. ∠A and ∠D are a rt ∠ ... CD bisects ∠BCA ... ∠ECA ≅ ½∠BAC and ... Given: CEA ≅ CDB, ∆ABC.
Step-by-step explanation:
Help pleeeeeeeeeeeeeeeeeeeaaaaaaaaaaaaaaaaaaaaaaaaaaseeeeee
Answer:
[tex]3(3 - 4x + 2y)[/tex]
Step-by-step explanation:
Find the Greatest Common Factor (GCF).
[tex]gcf = 3[/tex]
Factor out the GCF.
[tex]3( \frac{9}{3} + \frac{ - 12x}{3} + \frac{6y}{3} )[/tex]
Simplify each term in parentheses.
[tex]3(3 - 4x + 2y)[/tex]
A researcher would like to estimate p, the proportion of U.S. adults who support recognizing civil unions between gay or lesbian couples.
If the researcher would like to be 95% sure that the obtained sample proportion would be within 1.5% of p (the proportion in the entire population of U.S. adults), what sample size should be used?
(a) 17,778
(b) 4,445
(c) 1,112
(d) 67
(e) 45
Due to a limited budget, the researcher obtained opinions from a random sample of only 2,222 U.S. adults. With this sample size, the researcher can be 95% confident that the obtained sample proportion will differ from the true proportion (p) by no more than (answers are rounded):
(a) .04%
(b) .75%
(c) 2.1%
(d) 3%
(e) There is no way to figure this out without knowing the actual sample proportion that was obtained.
Answer:
Question 1:
(b) 4,445
Question 2:
(c) 2.1%
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 of:
[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].
Question 1:
We have no previous estimate for the population proportion, so we use [tex]\pi = 0.5[/tex].
The sample size is n for which M = 0.015. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.015 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.015\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.015}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.015})^2[/tex]
[tex]n = 4268[/tex]
Samples above this value should be used, and the smaller sample above this value is of 4445, so the answer is given by option b.
Question 2:
Now we find M for which [tex]n = 2222[/tex].
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.5*0.5}{2222}}[/tex]
[tex]M = 0.021[/tex]
So 2.1%, and the correct answer is given by option c.
7.500/3.125 What is written in decimal form? 3.195 A. 0.116 O B. 2.4 O c. 4.375 D. 75.3125
In simplest radical form, what are the solutions to the quadratic equation 6 = x2 - 10/?
Quadratic formula: * = -bt/b? 40c
20
O x=5+31
O x = 51/19
O x = 5+219
O x = 5+2/31
Answer:
[tex]x = 5 \± \sqrt{31}[/tex]
Step-by-step explanation:
Given
[tex]6 = x^2 - 10x[/tex]
Required
The solution in radical form
[tex]6 = x^2 - 10x[/tex]
Rewrite as:
[tex]x^2 - 10x - 6 = 0[/tex]
Using the quadratic formula, we have:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where
a = 1
b = -10
c = -6
So, we have:
[tex]x = \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*(-6)}}{2*1}[/tex]
[tex]x = \frac{10 \± \sqrt{100 +24}}{2*1}[/tex]
[tex]x = \frac{10 \± \sqrt{124}}{2}[/tex]
Split the roots
[tex]x = \frac{10 \± \sqrt{4 * 31}}{2}[/tex]
Express [tex]\sqrt 4[/tex] as 2
[tex]x = \frac{10 \± 2\sqrt{31}}{2}[/tex]
Split the fraction
[tex]x = \frac{10}{2} \± \frac{2\sqrt{31}}{2}[/tex]
[tex]x = 5 \± \sqrt{31}[/tex]
what is the range of f?
Answer:
Range is [tex]-5 \le y \le 5[/tex]
Range in interval notation is [-5, 5]
==========================================================
Explanation:
Refer to the diagram below. As marked in red, the smallest y value is y = -5. The largest y value is y = 5. The range is the set of y values between these endpoints, including both endpoints.
We can say the range is [tex]-5 \le y \le 5[/tex]
In interval notation, we write that as [-5, 5]. The use of square brackets tells the reader that the endpoints are included as part of the range.
Find the surface area of the square pyramid shown below. Units2
Base is 8 and hight is 6
The surface area for a pyramid that is: Base 8 and height 6
Would be: 42.87
Which of the following statements about rational numbers is not correct??
A. All rational numbers can be written in the form a/b, where b =/ 0
B. All whole numbers are also rational numbers.
C. Rational numbers cannot be negative.
D. All integers are also rational numbers.
P.S the =/ are actually together in one thing they aren't separate. I would take a picture but it is blurry.
Answer:
I'm pretty sure it's C.
Step-by-step explanation:
A worker at a mill is loading 8-1b bags of flour into boxes to deliver to a local warehouse.
Each box holds 10 bags of flour.
If the warehouse orders 4 tons of flour, how many boxes are needed to fulfill the order?
boxes are needed to fulfill the order.
Answer:
100
Step-by-step explanation:
Please help me.......
Answer:
[tex]57\frac{3}{11}[/tex] = c
or
[tex]57.\overline{27}[/tex] = c
Step-by-step explanation:
We know that the diameter of a circle multiplied by [tex]\pi[/tex] is the circumference, so we can create this equation:
180 = c * [tex]\pi[/tex]
Your teacher told us to assume [tex]\pi[/tex] is 22/7, so we'll put that in
180 = c * [tex]\frac{22}{7\\}[/tex]
To get c by itself, we divide both sides by 22/7
[tex]\frac{180}{\frac{22}{7}}[/tex] = c
Dividing by a number is the same as multiplying by its reciprocal, so we'll multiply 180 by 7/22
180 * [tex]\frac{7}{22}[/tex] = c
Evaluate
[tex]\frac{1260}{22}[/tex] = c
[tex]57\frac{3}{11}[/tex] = c
If you want a decimal instead:
[tex]57.\overline{27}[/tex] = c
What does this mean I need help?
It’s not 15 read the text
Answer:
B
Step-by-step explanation:
I think it is B because 6 times 5 = 30. So 30 times 1/2 = 60 hope this is correct and it helped and if it is not correct try C and can i get a brainliest
Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express coordinates as fractions, using the slash
mark (7) for the fraction bar.
10
(3,7)
Answer here
-10
10
(2, -1)
-10
Answer:
([tex]\frac{5}{2}[/tex], 3)
Step-by-step explanation:
I got 5/2 as my x variable and 3 for my y variable to being the midpoint. In which I added both my x variables provided ( 3 and 2 ) and then I divided them by two to get half of that (since you are looking for in between those two digits technically so you are wanting to find the midpoint or the middle of that line segment). I also did the same with the two y variables as well which were 7 and -1, then I divided both by two to get the variable 3.
Answer:
5/2, 3
Step-by-step explanation:
that should be your answer (hopefully)
Simplify this expression-6+3m+2-m+8
Answer:
2m+4
Step-by-step explanation:
[tex] \rm \mapsto - 6 + 3m + 2 - m + 8 \\ \rm \mapsto3m - m - 6 + 2 + 8 \\ \rm \mapsto2m + 4 \\ \rm \mapsto2(m + 4)[/tex]
Answer:
4+2m
Step-by-step explanation:
-6+3m+2-m+8
(-6+2+8)+(3m-m)
4+2m
PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!
A box has a length of 15 centimeters, a width of 22 centimeters, and a height of 9 centimeters. What is the surface area
of the box?
a.) 1,326 cm^2
b.) 5,940 cm^2
c.) 663 cm^2
Answer:
a) 1,326 [tex]cm^2[/tex] will be the correct option
Step-by-step explanation:
15 x 22 x 2 = 660
22 x 9 x 2 = 396
15 x 9 x 2 = 270
660 + 396 + 270 = 1326
Of the 28 muffins left in the fridge, 16 of them have blueberries. What
is the probability that Jenny randomly chooses two muffins that does
not have blueberries?
a) 1/3
b) 11/63
c) 1/8
d) 6/7
Answer:
d 6/7
Step-by-step explanation:
Need help!!!!! with this test pls IM SORRY FOR ASKING SO MANY TIMES BUT PLS HELP
Answer:
I hope its 15/10
Step-by-step explanation:
please let me know if its wrong
what expression means the same as 9 divided by 10
Answer:
9/10.
Step-by-step explanation:
To determine what expression means the same as 9 divided by 10, the following logical reasoning must be carried out:
Since 9 integers are distributed among 10 dividends, this implies that these 10 will obtain a portion of those 9 integers, that is: 9/10, which gives a total of 0.90.
Question 6 of 10
Suppose that there were a strong correlation between the variables dand f.
Which of these is a true statement?
A. d must cause f.
O B. dmay cause f.
O C. dmust not cause f.
D. f must cause d.
how do I calculate the total volume for the objects below using V=l×w×h
Answer:
V=12m
Step-by-step explanation:
V=l×w×h
V=3×4×1
V=12m
Answer:
4m*3m*3m - 2m*2m*2m
Step-by-step explanation:
Determine the value of x in the given figure.
A clown weighs 60 lb more than a trapeze artist. The trapeze artist weighs two-thirds as much as the clown. How much does each weigh?
Answer:
Step-by-step explanation:
well if the clown weighs 60 lbs more than the trapeze artist...
and the trapeze artist is 2/3 the weight of the clown...
then the trapeze artist must weigh 120 lbs..
and the clown must weigh 180 lbs..
i hope this was correct lol
This question really has me stumped, and i really wanna finish this assignment and i need help :(
9514 1404 393
Answer:
x = 2/3
Step-by-step explanation:
The approach usually recommended for almost any problem involving fractions is to "clear fractions" first. Here, that means multiplying both sides of the equation by 2x (the least common denominator). After that, divide both sides by the coefficient of x.
[tex]\dfrac{2}{x}=\dfrac{6}{2}\qquad\text{given}\\\\\dfrac{(2x)(2)}{x}=\dfrac{(2x)(6)}{2}\qquad\text{multiply by $2x$}\\\\4=6x\qquad\text{simplify}\\\\\dfrac{4}{6}=x\qquad\text{divide by 6}\\\\\boxed{x=\dfrac{2}{3}}\qquad\text{reduce the fraction}[/tex]
__
After you have done this a few times, you recognize that the process involves multiplying the original equation by 2x/6 = x/3. This is x times the reciprocal of the constant term on the right. You can "cut to the chase" and do multiplication of both sides by x/3 as your first step:
[tex]\dfrac{2}{x}\cdot\dfrac{x}{3}=\dfrac{6}{2}\cdot\dfrac{x}{3}\qquad\text{multiply the given equation by $\dfrac{x}{3}$}\\\\\dfrac{2}{3}=x\qquad\text{simplify}[/tex]