Answer:
Step 1: Determine why circle 1 is similar to circle 2
The reason why circle 1 is similar to circle 2 is that they both expand at the same rate. While x grows larger, both circle 1 and circle 2 grow at a proportional rate. Circle 2 grows is 5 times bigger than circle 1 given any value 5.
When x = 3: circle 1 = 6 and circle 2 = 30
When x = 10: circle 1 = 20 and circle 2 = 100
Answer:
Circle 2 is a dilation of circle 1 with a scale factor of 5.
Step-by-step explanation:
Took the quiz and got a perfect score :)
Please Help! One natural number is 4 more than the other one. The product of the two numbers is three times the square of the smaller number. Find the numbers.
Let n and n+4 be the numbers. Then:
n² + 3(n+4)=66
n²+3n-54=0
(n+9)(n-6)=0
n=6 or -9
n+4=10
Assuming positive integers only, the numbers are 6 and 10…..
Step-by-step explanation:
100% right
Answer:
2 and 6
Step-by-step explanation:
i need help with this pls.
Answer:
The answer is D
Step-by-step explanation:
Plug all of the numbers in and they all work with the problem.
Sandy brought 64 dozen cookies to the bake sale. Alejandro brought
dozen fewer cookies than Sandy brought. Pierre brought 2 dozen
fewer cookies than Alejandro brought. How many dozen cookies
did Pierre bring?
What is the measure of arc PSR? *
75 degrees
260 degrees
65
100
Answer:
it most likely would be 260 degrees
MADD (Mother's Against Drunk Drivers) wishes to estimate the proportion of adult drivers that have run at least one red light in the last month. A poll is conducted on a simple random sample of adult drivers and it is found that out of 1251 adult drivers, 641 of them have run at least one red light in the last month. You will be finding a 90% confidence interval for the fraction of adult drivers that run at least one red light in the last month.
Check that the normality assumptions are met?
Interpret the confidence interval obtained.
Answer:
Normality assumptions are met.
The 90% confidence interval for the proportion of adult drivers that run at least one red light in the last month is (0.4892, 0.5356). The interpretation is that we are 90% sure that the true proportion of all adult drivers than ran at least one red light in the last month is between these bounds.
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].
Out of 1251 adult drivers, 641 of them have run at least one red light in the last month.
This means that [tex]n = 1251, \pi = \frac{641}{1251} = 0.5124[/tex]
Normality assumptions:
We need that: [tex]n\pi[/tex] and [tex]n(1-\pi)[/tex] are 10 or greater. So
[tex]n\pi = 1251*0.5124 = 641[/tex]
[tex]n(1-\pi) = 1251*0.4876 = 610[/tex]
So the normality assumptions are met.
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 - 1.645\sqrt{\frac{0.5124*0.4876}{1251}} = 0.4892[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5124 + 1.645\sqrt{\frac{0.5124*0.4876}{1251}} = 0.5356[/tex]
The 90% confidence interval for the proportion of adult drivers that run at least one red light in the last month is (0.4892, 0.5356). The interpretation is that we are 90% sure that the true proportion of all adult drivers than ran at least one red light in the last month is between these bounds.
What is the approximate area of the shaded sector in the circle below?
Answer: I believe the answer is 51 inches squared
Step-by-step explanation:
A guy wire supporting a radio tower is positioned 145 feet up the tower.
It forms a 45°angle with the ground.
About how long is the wire? Round your answer to the nearest whole
number.
the angle of the tower would be the coifficent
Data represented by quantities is called data.
A pair of athletic shoes costs 90$. If the inflation rate remains constant at 4%, write an algebraic rule to determine the cost, c(t), of the shoes after t years. c(t) =
REALLY NEED THIS ANSWER
Answer:
c(t)=90+90×0,04t
c(t)=3,6t + 90
Simplify the following expression:
(i-3) +6i-3(8 - i)
A. 21+7
B. -27 +10;
C. 14 +6;
D. 8 +41
The complex expression (i-3) +6i-3(8 - i) when simplified is -27 + 10i
How to simplify the complex expressionFrom the question, we have the following parameters that can be used in our computation:
(i-3) +6i-3(8 - i)
Express properly
So, we have
(i - 3) + 6i - 3(8 - i)
When the brackets are opened, we have
(i - 3) + 6i - 3(8 - i) = i - 3 + 6i - 24 + 3i
Collect the like terms
So, we have
(i - 3) + 6i - 3(8 - i) = - 3 - 24 + i + 6i + 3i
Evaluate the like terms
So, we have
(i - 3) + 6i - 3(8 - i) = -27 + 10i
Hence, the complex expression when simplified is -27 + 10i
Read more about expression at
https://brainly.com/question/28792378
#SPJ1
62
.
52
=
27
.
39
+
t
Answer:
t = 35.13
Step-by-step explanation:
Simplifying
62.52 = 27.39 + t
Solving
62.52 = 27.39 + t
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '-1t' to each side of the equation.
62.52 + -1t = 27.39 + t + -1t
Combine like terms: t + -1t = 0
62.52 + -1t = 27.39 + 0
62.52 + -1t = 27.39
Add '-62.52' to each side of the equation.
62.52 + -62.52 + -1t = 27.39 + -62.52
Combine like terms: 62.52 + -62.52 = 0.00
0.00 + -1t = 27.39 + -62.52
-1t = 27.39 + -62.52
Combine like terms: 27.39 + -62.52 = -35.13
-1t = -35.13
Divide each side by '-1'.
t = 35.13
Simplifying
t = 35.13
hope it helps !!!!!!!!!!! :)
16 and 3/5 - 4 and 4/5 equals
Answer:
59/5
Step-by-step explanation:
16 and 3/5 = 83/5
4 and 4/5 = 24/5
83/5 - 24/5 = 59/5
Please help and show work
A washer and a dryer cost $596 combined. The washer costs $54 less than the dryer. What is the cost of the dryer?
Answer:
The washer costs 220 and the dryer costs 376! brainliest pls!
Step-by-step explanation:
A roll of quarters has a value of
$10. The expression
10 represents the amount of money in a number of rolls of quarters. What does the variable
represent?
Answer:
110
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Solve the solution of this inequality
9−4d≥−3
Answer: d
≤
3
Step-by-step explanation: that’s the answer buddy
Answer: X is less than or equal to 3.
I am 100% sure it's right.
Step-by-step explanation:
GEOMETRY!! Will give brainliest
Answer:
60
Step-by-step explanation:
(20x15)0.5
Many studies have investigated the question of whether people tend to think of an odd or an even number when they are asked to think of a single-digit number (0 through 9). Combining results from several studies, Kubovy and Psotka (1976) used a sample of 1,770 people, of whom 741 thought of an even number and 1,029 thought of an odd number. Would a one-sided or a two-sided alternative hypothesis be more appropriate in this case
Answer:
A two-sided alternative hypothesis would be more appropriate in this case
Step-by-step explanation:
A one-sided hypothesis is one that asserts that a given parameter is either smaller than the null hypothesis value or larger than the value presented by the null hypothesis.
However in a two sided hypothesis, the claim is made that a given parameter is not equal to the parameter given in the null hypothesis, such that the parameter can be either larger than than or lesser than the value of the null hypothesis and still satisfy the condition of the hypothesis
Therefore, given for that for there to be a conclusion, the test should be weather the number of people that think of an odd number are equal to the number of people that think of an even number, or weather the number of people that think of an odd number are not equal to the number of people that think of an even number
Therefore, a two-sided hypothesis should be used since the claim (that the numbers are not equal) is not equal to the value of the parameter in the null hypothesis (that the numbers are equal)
3 (7/5x+4) -2 (3/2 - 5/4x)
Answer:
I know the mixed number will be 1 because u subtracts that's all I know and just subtracts the fractions ok sorry
Answer:
[tex]6\frac{7}{10}x + 9[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]3(\frac{7}{5}x + 4)-2(\frac{3}{2}-\frac{5}{4}x)[/tex]
[tex](3*\frac{7}{5}x) + (3 * 4) + (-2 * \frac{3}{2}) + (-2 * -\frac{5}{4}x)[/tex]
[tex]\frac{21}{5}x + 12 + \frac{-6}{2} + \frac{10}{4}x[/tex]
Step 2: Combine Like Terms
[tex]12 - 3 + \frac{21}{5}x + \frac{5}{2}x[/tex]
[tex]9 + (\frac{21*2}{5*2}x + \frac{5*5}{2*5})[/tex]
[tex]9+(\frac{42}{10}x + \frac{25}{10}x)[/tex]
[tex]9+\frac{67}{10}x[/tex]
[tex]6\frac{7}{10}x + 9[/tex]
Answer: [tex]6\frac{7}{10}x + 9[/tex]
Please let me know if you need to make it more clear! :)
Find the area of a circle that has a circumference of 12π in.
Answer:
a = 1.91
Step-by-step explanation:
12 = 2π(r)
12/2 = 2π(r)/2
dividing by 2
=
6 = π(r)
you then divide this by π, or 3.14
6/3.14 = π(r)/3.14
=
1.91
Pls answer this for me
Answer:
A) 216in squared
Step-by-step explanation:
6 / 2 = 3
4 * 3 = 12
12 * 2 = 24
5 * 12 = 60
60 * 2 = 120
6 * 12 = 72
24 + 72 + 120 = 216in^2
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
need help ASAP! please answer
Answer:
c
a
Step-by-step explanation:
At Store A, a 60-ounce bag of shelled walnuts costs $11.99. At Store B, a 4-pound bag of shelled walnuts costs $11.99. Shelled walnuts are a better deal at
Store A or Store B
Answer:
Store B
Step-by-step explanation:
Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer. y2=x,x=2yy 2 =x,x=2y; about the y-axis
Answer:
Step-by-step explanation:
From the first image attached below, we will see the sketch of the curve x = y² & x = 2y
In the picture connected underneath, the concealed locale(shaded region) is bounded by the given curves. Now, we discover the marks of the crossing point of the curves. These curves will cross, when:
[tex]y^2 =2 y \\ \\ or y^2 -2y = 0 \\ \\ y(y-2) = 0 \\ \\ y = 0 \ \ or \ \ y = 2[/tex]
Thus, the shaded region fall within the interval 0 ≤ y ≤ 2
Now, from the subsequent picture appended we sketch the solid acquired by turning the concealed region about the y-axis.
For the cross-sectional area of the washer:
[tex]A (y) = \pi (outer \ radius)^2 - \pi ( inner \ radius )^2 \\ \\ A(y) = \pi (2y^)2- \pi (y^)^2 \\ \\ A(y) = 4 \pi y^2 - \pi y^4 \\ \\ A(y) = \pi( 4 y^2 -y^4)[/tex]
Finally, the volume of (solid) is:
[tex]V = \int^2_0 A(y) \ dy \\ \\ V = \int^2_0 \pi (4y^2 -y^4) \ dy \\ \\ V = \pi \int^2_0 (4y^2 -y^4) \ dy \\ \\ V = \pi \Big[\dfrac{4}{3}y^3 - \dfrac{y^5}{5} \big ] ^2_0 \\ \\ V = \pi \Big [ \dfrac{4}{3}(2)^3-\dfrac{2^3}{5} \Big ] \\ \\ V = \dfrac{64}{15}\pi \\ \\ V = (4.27 ) \pi[/tex]
Pls help it's due tonight!!!
:((((((
Answer:
∆EDA~∆ECB (AAA)
3÷ (15+3) = AB ÷ (12+AB)
AB = 2.4
5x^2-4x=6 help!!! Thank you in advance !
Answer:
x = 2 ± √34/5
Step-by-step explanation:
Move terms to the left side.
5x^2 - 4x = 6
5x^2 - 4x -6 = 0
Identify a, b, and c before plugging them into the quadratic formula.
a = 5
b = -4
c = -6
x = -(-4) ± √(-4)^2 - 4 * 5(-6)/2 * 5
Then simplify.
2x3/12 as a fraction
Answer:
1/2
Step-by-step explanation:
2*3=6
6/12=1/2
Answer:
[tex]\frac{1}{2}[/tex]--> 1/2
Step-by-step explanation:
3x2=6. half of 12 is 6 and so you would make it 6/12 or aka 1/2
Which three dimensional figures could be used
Answer:
A cube, rectangular prism, sphere, cone and cylinder are the basic 3-dimensional shapes we see around us.
[tex]1.8 greater \: or \: less \: than \: 18percent[/tex]
is 1.8 greater or less than 18%