Answer:
If you've more doubts you can ask :)
Step-by-step explanation:
If the centre of a circle is (a, b) and radius r, then the equation of the circle is :
[tex](x - x)^2 + (y-b)^2 = r^2[/tex]
First we will find the centre, (a , b):
[tex]a = \frac{3+(-1)}{2} = \frac{2}{2} = 1\\\\b = \frac{-2 + 4}{2} = \frac{2}{2} = 1[/tex]
Find radius:
[tex]Radius, r = \frac{Diameter}{2}[/tex]
Diameter is the distance between (-1, 4) and (3, -2)
[tex]diameter = \sqrt{(x_2 - x_1)^2 +(y_2-y_1)^2} \\\\[/tex]
[tex]= \sqrt{(3-(-1)^2 + (-2-4)^2} \\\\=\sqrt{16 + 36}\\\\=\sqrt{52}\\\\=\sqrt{4 \times 13}\\\\=2\sqrt{13} \ units[/tex]
Therefore , [tex]r = \frac{2 \times \sqrt{13} }{2} = \sqrt{13} \ units[/tex]
Equation of the circle is :
[tex](x - 1)^2 +(y-1)^2 = 13[/tex]
If PQ = 4i+3j+2k, find /PQ/
Answer:
| PQ | = [tex]\sqrt{29}[/tex]
Step-by-step explanation:
Given
PQ = ai + bj + ck , then
| PQ | = [tex]\sqrt{a^2+b^2+c^2}[/tex]
Here PQ = 4i + 3j + 2k , then
| PQ | = [tex]\sqrt{4^2+3^2+2^2}[/tex] = [tex]\sqrt{16+9+4}[/tex] = [tex]\sqrt{29}[/tex]
explain whether 8t - 3y - 4t is equivalent to 7t +(-3t) - 3y.
Answer:
4t - 3y
Step-by-step explanation:
8t - 3y - 4t
8t - 4t - 3y
4t - 3y
7t +(-3t) - 3y
7t - 3t - 3y
4t - 3y
Answer:
These expressions are equivalent, as both of them simplify down to (4t - 3y).
Step-by-step explanation:
In order to determine if (8t - 3y - 4t) is equivalent to (7t + (-3t) - 3y) one must simplify each equation. Combine like terms by performing the operations between the coefficients of the variables.
8t - 3y - 4t
= 4t - 3y
7t + (-3t) - 3y
= 7t - 3t - 3y
= 4t - 3y
PLEASE HELP!
A 95% confidence interval is found to be (28, 32). The sample standard deviation is 7, and the sample size is 49. If you wanted a smaller interval, what could you do? A. Decrease the sample size to 36. B. Increase the standard deviation to 10. C. Increase the confidence level to 99.7%. O D. Increase the sample size to 64. SUBMIT
Using the formula for the margin of error, it is found that a smaller confidence interval would be obtained as follow:
D. Increase the sample size to 64.
What is the margin of error of a confidence interval?It is given by the following formula:
[tex]M = z\frac{s}{\sqrt{n}}[/tex]
In which:
z is the critical value(direct proportional with the confidence level).s is the standard deviation.n is the sample size.For a smaller interval, we need to decrease the margin of error, which is possible increasing the sample size, hence option D is correct.
More can be learned about margin of error at https://brainly.com/question/25779324
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Tom drank 5 cups of coffee. How many pints of coffee did he drink?
A. 4.5
B. 3.5
C. 2.5
D. 1.5
Answer:
B .3.5 points of coffee did he drink
hope it helps
(8,9); x+3y=2 in y=mx+b form
Answer:
use photo math. it will help
A square with sides x ft long has a
perimeter of 343 ft. How long are the
sides of the square?
Eric borrowed a total of $3000 from two student loans. One loan charged 4% simple interest and the other charged 3.5% simple
interest, both payable after graduation. If the interest he owed after 2 years was $215, determine the amount of principal for each
loan.
Answer:
$ 500 was the principal of the loan at 4%, and $ 2,500 was the principal of the loan at 3.5%.
Step-by-step explanation:
Given that Eric borrowed a total of $ 3000 from two student loans, and one loan charged 4% simple interest and the other charged 3.5% simple interest, both payable after graduation, if the interest he owed after 2 years was $ 215, to determine the amount of principal for each loan, the following calculation must be performed:
4 x 2 = 8
3.5 x 2 = 7
1500 x 0.08 + 1500 x 0.07 = 225
1400 x 0.08 + 1600 x 0.07 = 224
100 x 0.08 + 2900 x 0.07 = 211
500 x 0.08 + 2500 x 0.07 = 215
Therefore, $ 500 was the principal of the loan at 4%, and $ 2,500 was the principal of the loan at 3.5%.
What’s the ratio of 20 to 6
Answer:
333..%
Step-by-step explanation:
The ratio of boys to girls in Mr. Johnsons after school club is the same as the ratio is the same to the ratio of boys to girls in Mr. Greene's after school club. There are 4 boys and 12 girls in Mr. Johnsons club. There are 6 boys in Mr. Greene's club. How many girls are in Ms. Greene's club?
Answer:
18 GIRLS
Step-by-step explanation:
1. Lets write a fraction (4 boys/12 girls)
[tex]\frac{4 \\boys}{12 \\ \\girls}[/tex]
2. Now lets plug the value in
[tex]\frac{6 \\boys}{x girls}[/tex]
3. In the original equation, the amount of girls is 3 times the amount of boys
4. multiply 6 and 3 = 18
5. 18 girls
Answer:
18 <3
Step-by-step explanation:
The exprnditure of 15 days of a man is as follows. calculate this average expenditure. 30,25,35,24,40,35,30,25,
24,25,40,35,30,25,35. Solve with answer for class Nine
Answer:
$30.53
Step-by-step explanation:
Find total sum
30+25+35=90
90+24=114
114+40=154
154+35=189
…
You will get 458
458/15=30.53333
Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.
Answer:
The answer e i think
Step-by-step explanation:
What is the value of log
?
1/100
I hope this is gelpful for u
Out of 350 applicants for a job, 158 are female and 66 are female and have a graduate degree. Step 2 of 2 : If 110 of the applicants have graduate degrees, what is the probability that a randomly chosen applicant is female, given that the applicant has a graduate degree
Answer:
33/55
Step-by-step explanation:
Total applicants, n(T) = 350
Female applicants, n(F) = 158
Female and Graduate applicants, n(FnG) = 66
Graduates, n(G) = 110
Probability of female Given that applicant has graduate degree; this is a conditional probability problem;
Recall :
P(A given B) = P(A|B) = P(AnB) / P(B)
Therefore ;
P(F|G) = P(FnG) / P(G) = 66 / 110 = 33/55
Can y’all help me on question 26?!
Answer:
im pretty sure the answer is D. let me kno if im right
A statistics student is studying if there is a relationship between the price of a used car and the number of miles it has been driven. She collects data for 20 cars of the same model with different mileage, and determines each car’s price using a used car website. The analysis is given in the computer output.
Predictor Coef SE Coef t-ratio p
Constant 24157.2 2164.1 2.965 0.046
Mileage -0.181 0.024 5.377 0.000
S = 3860.7 R-Sq = 68.0% R-Sq(Adj) = 67.5%
Using the computer output, what is the equation of the least-squares regression line?
ŷ = –0.181 + 24157.2x
ŷ = 24157.2 – 0.181x
ŷ = 2164.1 + 0.024x
ŷ = 0.024 + 2164.1x
========================================================
Explanation:
Simply look at the "coef" column to find the values you need. The constant is the term that isn't attached to the variable. The mileage coefficient is basically the slope.
You can think of it like
price = constant + (mileage coefficient)*(mileage)
The mileage coefficient being negative tells us we have negative correlation going on here. As x increases, y decreases. This makes sense because the car's value is expected to go down the more mileage is added on it.
Find the value of x in the figure
Answer:
x = 100
Step-by-step explanation:
180-57 would equal 123 which means 123 = x +23 and you can simplify this equation by moving 23 over to 123 and subtracting them leaving x = 100
123 = x+ 23
-23 + 123 = x
100 = x
x = 100
sorry, i'm really bad at explaining
180 degree angles when added
180-57 (for known angle)= 123
x+23=123<- we need to take off the all known angles to get x
123-123=100
x=100 is the answer
3x + 2y = 4 and -2x + 2y = 24? *
Answer:
x=28
y=v7vub8b9nf7v6v
The question is on the picture
answer:
ABCD is not congruent to KLMN
ABCD cannot be mapped onto KLMN
Among 35 students in a class, 20 of them earned A's on the midterm exam, 13 earned A's on the nal exam, and 12 did not earn A's on either examination. What is the probability that a random
Answer:
The correct answer is "[tex]\frac{2}{7}[/tex]".
Step-by-step explanation:
According to the question,
Number of students,
= 35
A ! mid term A,
[tex]n(A) = 20[/tex]
B : final A,
[tex]n(B) = 13[/tex]
Didn't start,
[tex]n(A^c \cap B^c) = 12[/tex]
Now,
⇒ [tex]n(A \cup B)=35-12[/tex]
[tex]=23[/tex]
then,
⇒ [tex]n(A \cup B)=20+13-23[/tex]
[tex]=10[/tex]
hence,
The probability will be:
⇒ [tex]P(A \cap B)=\frac{10}{35}[/tex]
⇒ [tex]=\frac{2}{7}[/tex]
How stopwatch can measure accurate reading?
answer in picture
stay safe (..
Answer:
Hello There!!
Step-by-step explanation:
Reading gives the required time interval.Some precise stopwatches are electronically connected to the time event.Therefore, making it more accurate.
hope this helps,have a great day!!
~Pinky~
3 boxes are stacked on top of each other. One box is 6 feet 8 inches tall, one is 5 feet 11 inches tall, and one is 5 feet 6 inches tall. How high is the stack?
Answer:
Step-by-step explanation: 16 ft 7 in, I correctly believe:
What is the value of x? 63, 42, 50
Answer:
Step-by-step explanation:
Can I get help with this problem?
Answer:
4+1=5(0+1)
Step-by-step explanation:
The formula is y2-y1=slope(x2-x1)
Find the slope by using the formula y2-y1/x2-y1.
What is the coordinate point of letter F
When the mean value of the dependent variable is independent of variation in the independent variable, the slope of the regression line is:________
Answer:
zero
Step-by-step explanation:
The optimally fitted straight line via the locations and points on a graph is determined via linear regression. You may use regression equations to see if your data can indeed be fitted into a formula. If you want to create assumptions from your data, either future forecasts or indicators of previous behavior, using the Regression equation is highly beneficial.
The regression line is expressed as:
[tex]Y_i = a +bx_i[/tex]
where;
[tex]Y_i[/tex] = dependent variable
a = intercept
b = slope
[tex]x_i[/tex] = independent variable
So, when [tex]Y_i[/tex] is independent of the variation of [tex]x_i[/tex], it means that [tex]Y_i[/tex] does not linearly depend on [tex]x_i[/tex] . Thus, the slope of the regression will be zero.
12.
What is the
equation of a circle with center (-7, -3) and radius 2?
Answer:
(x + 7)^2 + (y + 3)^2 = 4
Step-by-step explanation:
The standard equation of a circle is:
(x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius. We can substitute the information given to obtain:
(x + 7)^2 + (y + 3)^2 = 4
Can please send answers with step
Answer:
A. 14 Sq.cm
Step-by-step explanation:
The area of the circle is 56 cm Sq.
Half of it is 28 Sq.cm
If you combine the 2 triangles it will make an area of 7sq.cm
then the Curved shaded part is also 7sq.cm together of the shaded part will create a quarter of the whole figure
So
56/4 Sq.cm
= 14Sq.cm
Thank you!!
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Suppose a quadratic equation is given as follows:
(k – 1)x² + x + 1 = 0
Select all values of k for which the above equation has two real and unequal roots
0
.25
0.5
0.75
1
1.25
1.5
1.75
Answer:
k>1.25
Step-by-step explanation:
The given quadratic equation is :
(k – 1)x² + x + 1 = 0
We need to find all values of k for which the above equation has two real and unequal roots.
For a quadratic equation ax²+bx+c=0, for real and unequal roots,
b²-4ac>0
Here, a = (k-1), b = 1 and c = 1
Put all the values,
1²-4×(k-1)1>0
1-4k+4>0
5-4k>0
k>1.25
S, k can take values more than 1.25. Hence, it can take values 1.5, 1.75.
15r kg of auger was distributed equally among 5 people. how much auger did each person get? Give your answer in terms of r.
Answer:
below
Step-by-step explanation:
15r kg therefore it would be 15r/5people
3r kg for each person
Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8% What percentage of students pass the class with an 86% or better? Enter the value of the percentage without the percent sign.
Answer:
Z-value is what we called the number of standard deviations from the mean. 62% is 8% one standard deviation to the left, or a Z-value of -1. 94 is 24% to the right of the mean, or 3 standard deviations for a z-value of three. You can look on a Z-table to find the area between -1 and 3, which is .840 or 84%
Step-by-step explanation:
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