Write the equation of the circle with the given information.
Center: (-8, 0)
Diameter: 5
Answer:
(x + 8)² + y² = 6.25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (- 8, 0 ) and r = 5 ÷ 2 = 2.5 , then
(x - (- 8))² + (y - 0)² = 2.5² , that is
(x + 8)² + y² = 6.25
The coordinates of a rectangle, LMNO, are L(- 1,3), M(2,3), N(2, - 5), and 0(- 1,- 5).
a. What is the length and width of this rectangle?
b. What is the perimeter of the rectangle?
c. What is the area of the rectangle?
Answer:
length = 8; width = 3
perimeter = 22
area = 24
Step-by-step explanation:
L(- 1,3), M(2,3)
LM = |-1 - 2| = 3
M(2,3), N(2, - 5)
MN = |-5 - 3| = 8
length = 8; width = 3
perimeter = 2(L + W) = 2(8 + 3) = 22
area = LW = 8 × 3 = 24
Which statement describes ?
The series diverges because it has a sum of 4.
The series converges because it has a sum of 4.
The series diverges because it does not have a sum.
The series converges because it does not have a sum.
Answer: B
The series converges because it has a sum of 4.
Step-by-step explanation:
The convergence or divergence of a series depends on the sum of the series and its common ratio. The series converges because its sum is b
The series is given as:
[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n[/tex]
A geometric series is given as:
[tex]T_n = ar^{n-1}[/tex]
So, we rewrite the series as follows:
[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n[/tex]
Apply law of indices
[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^{n-1} \times (\frac{2}{3})[/tex]
Rewrite
[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} 2 \times (\frac{2}{3})(\frac{2}{3})^{n-1}[/tex]
[tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = \sum\limits^{\infty}_{n=1} \frac{4}{3}(\frac{2}{3})^{n-1}[/tex]
So, we have:
[tex]T_n = \frac{4}{3}(\frac{2}{3})^{n-1}[/tex]
Compare the above series to: [tex]T_n = ar^{n-1}[/tex]
[tex]a = \frac{4}{3}[/tex]
[tex]r = \frac{2}{3}[/tex]
The sum of the series to infinity is:
[tex]S_{\infty} = \frac{a}{1 - r}[/tex]
So:
[tex]S_{\infty} = \frac{4/3}{1 - 2/3}[/tex]
[tex]S_{\infty} = \frac{4/3}{1/3}[/tex]
[tex]S_{\infty} = 4[/tex]
i.e. [tex]\sum\limits^{\infty}_{n=1} 2 (\frac{2}{3})^n = 4[/tex]
Also:
The common ratio (r)
[tex]r = \frac{2}{3}[/tex]
[tex]r = \frac{2}{3}[/tex] [tex]< 1[/tex]
When common ratio is less than 1, then such series is convergent.
Hence, (b) is true because it has a sum of 4
Read more about series at:
https://brainly.com/question/10813422
2 3/4 + 12 6/8 = answer
Answer:
15 1/2
Step-by-step explanation:
Answer:
15 1/2
Step-by-step explanation:
To estimate the benefits of an SAT prep course, a random sample of 10 students enrolled in the course is selected. For each of these students, their entrance score on the exam taken at the beginning of the course is recorded. Their exit score on the exam they take at the end of the course is recorded as well. The table displays the scores.
A 3-column table with 10 rows. Column 1 is labeled student with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Column 2 is labeled Before with entries 800, 870, 860, 820, 1140, 1050, 850, 910, 830, 1140. Column 3 is labeled after with entries 1100, 1010, 1000, 980, 1410, 1270, 1020, 1010, 1060, 1340.
A 98% confidence interval for the mean difference (after – before) in score is 137.04 points to 248.96 points. Based on the confidence interval, is it reasonable to claim that the SAT prep course is beneficial?
No, 0 is not contained in the confidence interval.
Yes, 0 is not contained in the confidence interval.
No, the confidence interval only contains positive values.
Yes, the confidence interval only contains positive values.
Answer:
,, yes the confidence interval only contains positive values
Answer:
Yes, the confidence interval only contains positive values.
Step-by-step explanation:
A 98% confidence interval for the mean difference (after – before) in score is 137.04 points to 248.96 points.
Based on the confidence interval if we go though the table we will find that each student show increase in confidence level .
As, At least the confidence level improved because it contains positive values only if we subtract previous value with the new values.
Therefore ,Yes, the confidence interval only contains positive values.
Click here to know more about the confidence level.
https://brainly.com/question/15712887
#SPJ2
5,8, 21, 17, 10, 11,5
What is the median of the set of numbers?
Answer:
10
Step-by-step explanation:
Rearrange in order, 5, 5, 8, 10, 11, 17, 21 and the median would be 10.
Rewrite in simplest terms: 0.1d – 0.5(8d – 10)
Answer:
...
Step-by-step explanation:
0.1d - 4d -5
Answer:
-3.9d-5
I believe this is the answer! Hope this helps!
Undo the half of what was left amount. Multiply 2
Undo the spent $5 add $5
Undo the spent $8 Add $8
Answer:
the three numbers below are your answers. (in order)
Step-by-step explanation:
[tex]2*2=4\\4+5=9\\9+8=17[/tex]
I need the answer I just need DONT scam with a link
Answer:
==> C. , = 12x + 16x and 4(3x + 4x)
hope it helps
Jesse makes a large wooden picture frame in the shape of a rectangle with a diagonal brace on the back, as shown in the diagram.
What is the length, in feet, of the diagonal brace that Jesse uses?
Answer Choices:
F. 5ft
G.15ft
H.60ft
J.7ft
Answer:5 ft
Step-by-step explanation: ( 36 x 36 ) + ( 48 x 48 ) = 3600 inches
Square root of 3600 is 60
Convert inches to feet: 60 / 12 = 5
Combine like term in the following expressions:
3x + 5y + 2z + 2x + y + 3z +5 -3
A. 18
B. 5x+6y+5z+2
C. 8x+$z+4y+8
D. None of Above
Answer:
B. 5x+6y+5z+2
Step-by-step explanation:
3x + 5y + 2z + 2x + y + 3z +5 -3 = 5x +6y + 5z +2
B
Use technology or a z-score table to answer the question.
The number of baby carrots in a bag is normally distributed with a mean of 94 carrots and a standard deviation of 8.2 carrots.
Approximately what percent of the bags of baby carrots have between 90 and 100 carrots?
23.3%
31.2%
45.5%
76.73%
Answer:
46% is the percent of the bags of baby carrots that have between 90 and 100 carrots
Step-by-step explanation:
The baby carrot is normally distributed.
z = (x - µ)/σ
x is equal to number of baby carrots
µ = mean
σ = standard deviation
Substituting the given values, we get -
90 ≤ x ≤ 100
z = (90 - 94)/8.2 = - 0.49
For z value of -0.49, the probability is 0.31
For x = 100
z = (100 - 94)/8.2 = 0.73
For z value of 0.73, the probability is 0.77
P(90 ≤ x ≤ 100) = 0.77 - 0.31 = 0.46
The percent of the bags of baby carrots having carrots between 90 and 100 carrots is 0.46 × 100 = 46%
Do -16 and 16 have the same value
Answer:
No they do not
Step-by-step explanation:
16 is positive -16 is negative they have different values. Hope this helps!
Find the function h(x) = f(x) - g(x) if f(x)=3^x and g(x) = 3^2x - 3^x
Step-by-step explanation:
h(x)=f(x)-g(x)h(x)=3^x-3^2x-3^xh(x)=3^x(1-3²-1)h(x)=3^x(-9)h(x)= -27^xhope it helps.
Solve the equation 40 = -10(y+0.3). what does the y equal
Answer:
y = -4.3
Step-by-step explanation:
40 = -10(y + 0.3) {Step 1: Use the distributive property to multiply -10 by y + 0.3}
40 = -10y + -10(0.3)
40 = -10y - 3 {Step 2: Add 3 to both sides.}
40 + 3 = -10y
43 = -10y {Step 3: Divide both sides by -10}
43/-10 = y
-4.3 = y
y equals -4.3.
Answer:
y = -4.3
Step-by-step explanation:
40 = -10(y + 0.3)
40 = -10y - 3
-3. -3
43 = -10y
Divide 43 by -10
y equal 4.3
what statement is not true about the absolute value of 6
Answer:
I can't answer this sorry dude and next time show us the picture so that we can understand
Question 8
Which property justifies the fact that 5(x - 2) is equivalent to 5x - 10?
commutative
associative
O distributive
Find the volume for the regular pyramid.
V =
Answer:
What do you mean by that?
A sales manager collected data on annual sales for new customer accounts and the number of years of experience for a sample of 10 salespersons. In the Microsoft Excel Online file below you will find a sample of data on years of experience of the salesperson and annual sales. Conduct a regression analysis to explore the relationship between these two variables and then answer the following questions.
Open spreadsheet
Compute b1 and b0 (to 1 decimal).
b1 =____ fill in the blank
b0 =____ fill in the blank
Complete the estimated regression equation (to 1 decimal).
y= ____ + ____x fill in the blank 5x
According to this model, what is the change in annual sales ($1000s) for every year of experience (to 1 decimal)?
____fill in the blank
Compute the coefficient of determination (to 3 decimals). Note: report r2 between 0 and 1.
r2 =____ fill in the blank
What percentage of the variation in annual sales ($1000s) can be explained by the years of experience of the salesperson (to 1 decimal)?
fill in the blank ____ %
A new salesperson joins the team with 8 years of experience. What is the estimated annual sales ($1000s) for the new salesperson (to the nearest whole number)?
$____ fill in the blank
Salesperson Years of Experience Annual Sales ($1000s)
1 2 78
2 4 94
3 4 87
4 4 104
5 5 107
6 9 109
7 9 124
8 10 121
9 10 122
10 14 131
Answer:
(a) [tex]b_1 =3.4[/tex] and [tex]b_0 = 83.7[/tex]
(b) [tex]y=83.7+3.4 x[/tex]
(c) [tex]r^2 = 0.790[/tex]
(d) [tex]\% Variation = 79.0\%[/tex]
(e) The expected earnings is: $110,900
Step-by-step explanation:
The data for the 10 sales person is as follows:
[tex]\begin{array}{ccc}{Years\ of Experience} & {Annual\ Sales(\$ 1000)} & {Salesperson} & {1} & {1} & {85} & {2} & {3} & {97} & {3} & {3} & {95}& {4} & {5} & {97}& {5} & {7} & {105}& {6} & {8} & {106}& {7} & {10} & {122} & {8} & {10} & {120} & {9} & {12} & {113} & {10} & {12} & {134}\ \end{array}[/tex]
Required
Perform a regression analysis using Microsoft Excel
Note
I added two attachments to this solutionIn the first attachment, I highlighted the step to follow to perform regression analysis. At step 4, ensure that you fill in the input y range and the input x range. The input y range (in this question) is the column for sales person while the input x range is the annual sales Click ok, then Microsoft Excel will perform the analysis for you.
The question will be answered based on the result of the analysis performed by the application (See attachment 2)
See attachment 2 for the result of the analysis (I've highlighted the solution to each question on the attached file)
(a) b1 and b0
[tex]b_1 = 3.372767857[/tex]
[tex]b_1 \approx 3.4[/tex]
[tex]b_0 = 83.65625[/tex]
[tex]b_0 \approx 83.7[/tex]
(b) The estimated regression equation
The equation is of the form:
[tex]y =b_0 + b_1x[/tex]
Where:
[tex]b_1 =3.4[/tex]
[tex]b_0 =83.7[/tex]
So:
[tex]y=83.7+3.4 x[/tex]
(c) The coefficient of determination (r^2)
[tex]r^2 = 0.790361699[/tex]
[tex]r^2 \approx 0.790[/tex]
(d) Percentage of variation
To do this, we simply convert r^2 to percentage
[tex]\% Variation = r^2 * 100\%[/tex]
[tex]\% Variation = 0.790 * 100\%[/tex]
[tex]\% Variation = 79.0\%[/tex]
(e) Expected annual sales of a sales person with 8 years of experience.
Using the regression equation
[tex]y=83.7+3.4 x[/tex]
Where
[tex]x = 8[/tex] --- the years of experience.
So;
[tex]y = 83.7 + 3.4 * 8[/tex]
[tex]y = 83.7 + 27.2[/tex]
[tex]y = 110.9[/tex]
The expected earnings is: $110,900
PLEASE HELP FAST
What is the probability of rolling two dice and getting a sum that is a multiple of 5 or
rolling doubles (dice land on the same number)?
Answer:
1/3
Step-by-step explanation:
Look in the figure and circle all double rolls and all sums that equal 10.
See pic below. Then count them. There are 12.
12/36 = 1/3
Find the distance between the pair of points. E(-5, 4) and F(3,4)
Answer:
8
Step-by-step explanation:
you use distance formula
What is 12÷2/5? Ty to everyone helping
Answer:
1.2 is the answer.
Step-by-step explanation:
12/2=6
6/5=1.3
Have a nice day!
Which is the most appropriate unit to measure the weight of salad ? A. Tons B. Ounces C. Teaspoons D. Pounds
Answer:
Ounces :)
Step-by-step explanation:
Which is an equivalent way to express 3y
Answer:
3 f(x)
Step-by-step explanation:
this is very open-ended, (6y)/2 is equal to 3y
A national study, that revealed a normal distribution, revealed that the average time a student spends studying statistics on a weekend is 60 minutes. A random sample of 11 students in BU 203 were asked to record their statistic study time over a weekend. The sample revealed an average study time of 44.27 minutes with a standard deviation of 20.4. With an alpha of 5% State the null hypothesis (H0) and the alternate hypothesis (H1). Draw the distribution.
Answer:
Null hypothesis = H0 : μ = 60
Alternative hypothesis = H1 : μ < 60
Step-by-step explanation:
From the question given :
μ = 60 minutes
xbar = 44.27 minutes
s = 20.4 minutes
The alternative hypothesis is the claim ; which is to hypothesize that the average studying time is 44.27 (which is less than the population average studying time)
The null hypothesis is the initial truth and it is the opposite of the alternative hypothesis.
The hypothesis are :
H0 : μ = 60
H1 : μ < 60
Adele's Voice:
"Hello, it's me. I was wondering if you could help me with this problem."
Don't send me a link to some website. I do trust it especially if it requires me to download something. Furthermore, Brainly will not accept links to random sites thus deleting the question along with taking away my points. :(
Answer:
a) P(2) =3(2)=6
b) P(10)= 3(10)=30
c) P(s)= 3s
Step-by-step explanation:
P=3s/s =3
GIVING OUT BRAINLIEST ANSWER HELPPP ME QUICKKK PLSSS
Answer:
Number 2. Any circle can be mapped onto another circle by dilation then translation is FALSE
Step-by-step explanation:
Estimate the sum of 8.43 + 8.12 + 7.98.
Answer:
we estimate it and get
the answer is 25.53
Which of the following numbers is 90 divisible by? 2,3,4,6,9,10
Answer:
2,3,5,6,9,10
Step-by-step explanation:
Fifty students were surveyed and asked if they played sports and if they had a job. The table summarizes their responses.
Of the students who play sports, what percent do not have a job?
Answer: 10%
Step-by-step explanation: The percentage of 50-5 is 10%