Answer:
0.965 to the nearest thousand.
Step-by-step explanation:
This is a binomial probability distribution.
Prob(getting no 3's) = (5/6)^5 = 0.4019
Prob(getting 1 * 3 ) = 5C1(1/6)(5/6)^4 = 0.4019
Prob (getting 2 3's ) = 5C2(1/6)^2(5/6)^3 = 0.1608
So required probability = 2 * 0.4019 + 0.1608
= 0.9646
Type the correct answer in each box.
A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is ____? units. The point (-7, __?) lies on this circle.
Answer:
the answer is 5 and (-7,5)
Step-by-step explanation:
The radius is 5, and the points (-7, 5) and (-7, -1) both lie on the circle.
Given that:
The points at which the circle is centered are (-3,2)
Passing points = (1,5)
The radius is calculated using the distance formula:
d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]
Substituting the coordinates, we have:
d =[tex]\sqrt{({1 - (-3))^2 + (5 - 2)^2[/tex]
= [tex]\sqrt{(1 + 3)^2 + (5 - 2)^2[/tex]
=[tex]\sqrt{(4^2 + 3^2)[/tex]
= [tex]\sqrt{(16 + 9)[/tex]
= 5
Therefore, the radius of the circle is 5 units.
The equation of a circle with center (h, k) and radius r is given by:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Substituting the values, we have:
[tex][-7 - (-3)]^2 + (y - 2)^2 = 5^2[/tex]
[tex](-7 + 3)^2 + (y - 2)^2 = 25[/tex]
[tex](-4)^2 + (y - 2)^2 = 25[/tex]
[tex]16 + (y - 2)^2 = 25[/tex]
[tex](y - 2)^2 = 9[/tex]
Taking the square root of both sides, we have:
y - 2 = ±3
Solving for y, we have two possible values:
y - 2 = 3
y = 5
y - 2 = -3
y = -1
The points (-7, 5) and (-7, -1) both lie on the circle.
Thus, the radius is 5, and the points (-7, 5) and (-7, -1) both lie on the circle.
Learn more about Circle here:
https://brainly.com/question/15424530
#SPJ5
PLEASE HELP ALL GRADES IN TONIGHT OR ZERO! WILL GOVE BRANLIEST Statistical Measures
Use the following data to determine each statistical measure.
9, 9, 14, 7, 12, 8, 11, 19, 15, 11
5. mean
6. median
8. mode
9. interquartile range (IQR)
Data Representations
Make each data display using the data from Problems 5-7.
11. Box plot
12. Dot plot
7. range
10. mean absolute deviation (MAD)
Answer:
5. Mean = 11.5
6. Median = 11
7. Range = 12
8. Mode = 9 and 11
9. Interquartile Range (IQR) = 5
10. Mean Absolute Deviation (MAD) = 2.8
11. Just Replace the Values just like the example image.
12. Just draw the min = 7 and max = 19 dot plot.
Step-by-step explanation:
Mean = (9+9+14+7+12+8+11+19+15+11)/10 = 115/10 = 11.5
Mean = 11.5
Median: 7,8,9,9,11,11,12,14,15,19
Median in the center = 11
Range: Big Number - Small Number
Range = 19 - 7 = 12
Range = 12
Mode = 9 and 11
Interquartile Range (IQR): Q3 - Q1
Q3 = 14 , Q1 = 9
IQR = 14 - 9 = 5
IQR = 5
Mean Absolute Deviation (MAD): ( |7 - 11.5|+ |8 - 11.5| + ... + |15-11.5| + |19-11.5| )/10
MAD = ( 4.5 + 3.5 + 2.5 + 2.5 + 0.5 + 0.5 + 0.5 + 2.5 + 3.5 + 7.5 )/10 = 28/10 = 2.8
MAD = 2.8
miguel is making chocolate cupcakes. The recipe that he is following uses 2/3 cup of sugar, and miguel needs to make 4 batches of cupcakes. If he only has 3 cups of sugar, can miguel still make all of the cupcakes?
Answer:
yes
Step-by-step explanation:
Each batch requires 2/3 c / batch
time 4 batches: 4 * 2/3 = 8/3 cups = 2 2/3 cups
he has 3 cups , so he has enough to make 4 batches
10.) 189 girls and 115 boys signed up for art lessons.
The pupils were divided equally into 8 classes.
How many pupils would there be in each class?
Answer:
38
Step-by-step explanation:
add 189+115 = 304
then 304÷8 =38
50 POINTS PLEASE HELP QUICK
The graph of f(x) = (0.5)^x is replaced by the graph of g(x) = (0.5)^x − k. If g(x) is obtained by shifting f(x) down by 2 units, then what is the value of k?
k = 2
k equals one half
k = −2
k equals negative one half
Answer: 2
Step-by-step explanation:
See attached image
Select the correct answer.
If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system?
A. There is exactly one solution.
B. There is no solution.
C. There are infinitely many solutions.
D. The lines in a system cannot graph as the same line.
Answer:
c! :))
Step-by-step explanation:
i cant exactly remember how to explain it step by step, but all i remember is that i took a similar test not too long ago that had the same question!
Answer:
C. There are infinetly many solutions.
Step-by-step explanation:
A system of linear equations has infinite solutions when the graphs are the exact same line.
Spinner A and Spinner B below are each to be spun once.
If the pointer CANNOT land on a line, how many different outcomes of a number and a color are possible?
18
12
9
6
Answer:
9
Step-by-step explanation:
Spinner A = 6 outcomesSpinner B = 3 outcomes6 + 3 = 9If f(x) = 3x - 1 and g(x) = x + 2 , find (f + g)(x)
Answer:
Answer:4x + 1
Step-by-step explanation:
(f + g)(x)=(3x - 1)+(x + 2)
=3x + x - 1 + 2
=4x + 1
To the nearest thousandth, what is the area of the region bounded by y = ex and x = (y-1)²? 0.089 O 1.188 2.880 4.265
The area bounded by the curves will be 0.089. Then the correct option is A.
What is an area bounded by the curve?When the two curves intersect then they bound the region is known as the area bounded by the curve.
The functions are given below.
y₁ = eˣ ....1
x = (y - 1)² ...2
Then equation 2 can be written as
y₂ = √x + 1
The intersection point of the curves will be
eˣ = √x + 1
BY solving, the value of x will be
x = 0, 0.558
Then the area bounded by the curves will be
[tex]\rm A = \int _0^{0.558} (y_2 - y_1) dx\\\\\\A = \int _0^{0.558} (\sqrt{x} + 1 - e^x )dx\\\\\\A = \left [\dfrac{x^{3/2}}{3/2} + x - e^x \right]_0^{0.558} \\\\\\A = \left [\left (\dfrac{0.558^{3/2}}{3/2} + 0.558 - e^{0.558} \right ) - \left ( \dfrac{0^{3/2}}{3/2} + 0 - e^0 \right) \right]\\[/tex]
On further solving we have
A = -0.911 + 1
A = 0.0887
A ≅ 0.089
Then the correct option is A.
More about the area bounded by the curve link is given below.
https://brainly.com/question/24563834
#SPJ1
How do you write 415,000 in scientific notation
Answer:
4.15×10⁵
10⁵=100,000
4.15×100,000=415,000
Answer:
4.15 * 10^5.
Step-by-step explanation:
There are 5 digits after the initial digit(4).
So it is:
4.15 * 10^5
5) Mary is taking a swimming lesson on a rectangular pool which is 9 meters wide and 12 meters long. Find the area of the swimming pool.
a. What is asked?
b. What are given?
c. What is/are the operation/s to be used?
d. What is the number sentence?
e. What is the answer?
The formula for the area of a triangle is, where b is the length of the base and h is the height.
Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.
Answer: The formula for area of a triangle is area equals base times height divided by 2. the height is 5 units.
Step-by-step explanation:
Need Help ASAP
y = 2x − 5
y = -6x + 3
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution.
Part B: Check your work. Verify your solution and show your work.
Part C: If the two equations are graphed, what does your solution mean?
Put y 's value in second equation
2x-5=-6x+32x+6x=3+58x=8x=1And
y=2(1)-5=-3Solution is (1,-3)
Verification
-3=2(1)-5-3=2-5-3=-3Verified
Francis works and earns $3437 dollars but on a pay stub pays 42% to tax. What is the sales Tax?
Multiply:
3437 x 42%
3437 x 0.42 = 1443.54
answer: $1443.54
evaluate 1/4c + 3d when c = 6 and d = 7
please don't just give me the answer, explainnn because i don't know how to do this
Answer:
22 1/2
Step-by-step explanation:
1/4×6=1 1/2
3×7=21
21+1 1/2=22 1/2
Answer as a decimal = 22.5
Answer as a fraction = 45/2
===========================================================
Explanation:
Replace c with 6, and replace d with 7.
Then use the order of operations (PEMDAS) to simplify until you get a single number.
[tex]\frac{1}{4}c + 3d\\\\\frac{1}{4}(6) + 3(7)\\\\\frac{6}{4} + 21\\\\1.5 + 21\\\\22.5\\\\[/tex]
If you want to convert this to an improper fraction, then,
[tex]22.5 = 22 + 0.5\\\\22.5 = 22 + \frac{1}{2}\\\\22.5 = 22*\frac{2}{2} + \frac{1}{2}\\\\22.5 = \frac{44}{2} + \frac{1}{2}\\\\22.5 = \frac{44+1}{2}\\\\22.5 = \frac{45}{2}\\\\[/tex]
What are the x-intercepts of the graph of the given function f(x)=3(x+7)(x-9) show your work
Answer:
x intercepts = (9,0), (-7,0)
Step-by-step explanation:
First lets expand the factored equation.
f(x) = 3(x + 7) (x - 9)
.... = 3x + 21 (x - 9)
....= 3x^2 - 27x - 21x - 189
....= 3x^2 - 6x - 189
lets make the quation equal to 0 and use the Factorization method to solve for x.
3x^2 - 6x - 189= 0
3(x^2 - 2x - 63) = 0
3(x - 9) (x + 7) = 0
x - 9 = 9 and x + 7 = -7
x = 9,
x = -7
2. Martin read for a total of 150 minutes last week. He read the same amount of time each day for 6 days. Which equation shows, n, the number of minutes Martin read each day? 150 minutes in all n minutes read each day A 150 x 6-n B 150+6=n 150-6-n D 150+6=n
Answer:
n = 150/6
or
n = 25
Step-by-step explanation:
Since martin read during 150 minutes for six days, all you need to do is divide the time by the amount of days to get how many minutes (n) martin read per day.
Therefore, n = 150 / 6
If you make the division n = 25
Given that A, O & B lie on a straight line segment, evaluate obtuse ∠AOC.
The diagram is not drawn to scale. < AOC=
Answer:
∠ AOC = 124°
Step-by-step explanation:
the 3 angles lie on a straight line and sum to 180°
sum the 3 angles and equate to 180
3x + 94 + x + 30 + 2x - 4 = 180
6x + 120 = 180 ( subtract 120 from both sides )
6x = 60 ( divide both sides by 6 )
x = 10
Then
∠ AOC = 3x + 94 = 3(10) + 94 = 30 + 94 = 124°
Add this fractions. (It should be mixed number)
−5/6 + (−2 5/8)
Answer:
the awnser is -3 11/24
Step-by-step explanation:
Don't know
-2 5/7
Yan po answer ko inadd ko po by fraction
caculate the area of this triangle
Answer: 99 cm²
Step-by-step explanation:
The area of a triangle can be found with [tex]a=\frac{b*h}{2}[/tex] so we will plug in the given values and solve.
[tex]\displaystyle a=\frac{b*h}{2}[/tex]
[tex]\displaystyle a=\frac{(18 cm)(11cm)}{2}[/tex]
[tex]\displaystyle a=\frac{198\;cm^2}{2}[/tex]
[tex]\displaystyle a= 99\;cm^2[/tex]
Let U=(1,2,3,4,5,6,7,8,9,10) Let A = {2,4,6,8,10}. Let B=(1,3,4,6,9} Determine (A - B)'.
A - B is the complement of B in A; in other words, all the elements of A that do not belong to B.
Since A ∩ B = {4, 6}, we have
A - B = {2, 8, 10}
Then the complement of A - B, denoted (A - B)' is all the elements of the universal set U that do not belong to A - B.
(A - B)' = {1, 3, 4, 5, 6, 7, 9}
please help out asap, will give brainlist crown
Answer:
4 is an interior angle1,2,3 are exterior angles3. 2x+12+3x-7=360
5x+5=360
5x=360-5
x=355/5
x=71
for exterior
2x+12=360
2x=360-12
x=348/2
x=174
Step-by-step explanation:
hope this will help you
Solve each equation and check your answer.
1. 2 x + 4 ( 3 − 2 x ) = 3 ( 2 x + 2 ) 6 + 4
2. 4 z + 5 = - 3 z − 8
3. 1 2 − 1 8 q = q − 1 4
Please answer correctly, will choose brainliest.
Which of the following are solutions to the equation cos^2 2x-1/4=0? Check all that apply.
A. 11pi/3
B. 12pi/6
C. 5pi/6
D. Pi/6
Answer:
D
Step-by-step explanation:
Cos^2 2x=1/4
Cos 2x =+-1/2
2x=z
Cos z=+-1/2
z1=pi/3
z2=11pi/3
z1 and z2 are possible.
x1=pi/6
x2=11pi/6
Help the pic has questions
Answer:
a) [tex]x = 9[/tex]
b) [tex]m \angle 1 = m \angle 2 = 54^\circ[/tex]
Step-by-step explanation:
Since [tex]r\ ||\ s[/tex], through the Alternate Angle Theorem, [tex]m \angle 1 = m \angle 2[/tex]. We can solve for x by setting up an equation where both angles are equal to each other:
[tex]m \angle 1 = m \angle 2\\63-x = 72-2x\\63 +x = 72\\x = 9[/tex]
Now plug in x for both of the formulas to get their angles:
[tex]m \angle 1 = (63 - x)^\circ = (63-9)^\circ = 54^\circ[/tex][tex]m \angle 2 = (72-2x)^\circ = (72-2(9))^\circ = (72-18)^\circ = 54^\circ[/tex]
Let x be the amount of hours spent studying and let y be the number of points earned on a quiz. The graph of the relationship between x and y is below. Which equation represents this relationship?
Answer:
y=0.5x + 4
..............
Answer:
The answer is C y=0.5x+4
Step-by-step explanation:
Hello, help me please)
Answer:
Given equation:
[tex]10^{5x-2}=2^{8x-3}[/tex]
Take natural logs of both sides:
[tex]\implies \ln 10^{5x-2}= \ln 2^{8x-3}[/tex]
[tex]\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax[/tex]
[tex]\implies (5x-2)\ln 10=(8x-3) \ln 2[/tex]
Expand brackets:
[tex]\implies 5x\ln 10 - 2\ln 10=8x \ln 2 -3 \ln 2[/tex]
Collect like terms:
[tex]\implies 5x\ln 10 - 8x \ln 2 =2\ln 10-3 \ln 2[/tex]
Factor left sides:
[tex]\implies x(5\ln 10 - 8 \ln 2) =2\ln 10-3 \ln 2[/tex]
[tex]\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax[/tex]
[tex]\implies x(\ln 10^5 - \ln 2^8) =\ln 10^2- \ln 2^3[/tex]
[tex]\textsf{Apply log Quotient law}: \quad \ln_a\frac{x}{y}=\ln_ax - \ln_ay[/tex]
[tex]\implies x\left(\ln\left(\dfrac{10^5}{2^8}\right)\right) =\ln\left(\dfrac{10^2}{2^3}\right)[/tex]
Simplify:
[tex]\implies x\left(\ln\left(\dfrac{3125}{8}\right)\right) =\ln\left(\dfrac{25}{2}\right)[/tex]
[tex]\implies x=\dfrac{\ln\left(\dfrac{25}{2}\right)}{\ln\left(\dfrac{3125}{8}\right)}[/tex]
[tex]\implies x=0.4232297737...[/tex]
please help due in 15 mins
Answer:
x is -1
Step-by-step explanation:
-4 multiplied by x is -4x, then -4 x 3 is -12, which makes the problem -4x + -12 and you need to do the opposite so add 4, -4x cancels out and then add 4 to -12 which is 8x
The total debt to total assets of lans landscaping was 0.51. The total of lan assets was $234,00. What the amount of total debt?
The total amount of debt is $119,340.
What is the amount of total debt?The total debt to total assets ratio is a financial ratio. It is the ratio of total debt to total asset. It also known as the total debt ratio
Total debt ratio = total debt / total asset
total debt = value of the ratio x value of the assets
0.51 x $234,000 = $119,340
To learn more about financial ratios, please check: https://brainly.com/question/26092288
#SPJ1
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86m long and 64m wide. Find the area of the training field. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer.
The area of the training field to the nearest whole number is 8719 msq. meter
Area of composite solidThe given field is made up of a rectangle and 2 semi circles. The formula for calculating the area of the field is:
Area of the field = area of circle + area of rectangle
Area of field = 3.14(32)² + (86)(64)
Area of field = 3215.36 + 5504
Area of the field = 8719 msq. meter
Hence the area of the training field to the nearest whole number is 8719 msq. meter
Learn more on area of composite shapes here: https://brainly.com/question/8370446
#SPJ1
