Answer:
b. A checking account, or a savings account for other expenses (predictable), and emergencies.
Step-by-step explanation:
Peggy needs to pay car insurance 2 times every year.
She has divided the payment by 6 and saves that amount each month.
So, the best account in which she can save this money is - A checking account, or a savings account.
Other options are irrelevant as a 401-K retirement fund is some other type of account. It is not used for daily or monthly expenses.
Options C and D are also not correct.
A person boards the loading station of a Ferris wheel 21 feet off the ground. The wheel is always rotating at a constant rate. He wants to ride all day. Forty minutes after the wheel opened , he is at the highest point on the wheel, 443 feet high. He is at the exact same location 28 minutes later. The question is the generate 5 points which represent elapsed time and height? X elapsed time(minutes) Y height(feet)
Kate is constructing an equilateral triangle. She has already used her straightedge to construct the line segment shown.
A line segment with endpoints labeled as A and B.
What should Kate do for her next step?
Use the straightedge to draw a line that passes through point A.
Place the point of the compass on point A and draw an arc, using AB as the width for the opening of the compass.
Use the straightedge to draw another line segment that does not intersect AB¯¯¯¯¯.
Place the point of the compass on point A and draw an arc, using a width for the opening of the compass that is less than 12AB.
The next step that Kate should take in construction of an equilateral triangle after using a straight edge to construct the given line segment is;
Option B; Place the point of the compass on point A and draw an arc, using AB as the width for the opening of the compass.
This is about steps involved in constructing an equilateral triangle which means 3 equal sides.
First step; This first step entails drawing a line with the given measurement of the side of the equilateral triangle and label it ABSecond step; This step entails placing the point of the compass at point A and opening the leg to touch point B which means length AB will be the width to be used to draw an arc.Step 3; The same process in step 2 is carried out but this time the point of the compass will be placed at point B and opening the second leg to touch point A which means length AB will be the width to be used to draw an arc to intersect the other one drawn.Step 4; The point of intersection is now joined by a straight line to points A & B respectively.Thus, option B is the correct next step.
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Calculate the volume of the following shapes. Use the approximation of pi.
1) A sphere with a radius of 4.5 cm
2) A cylinder with a radius of 2.1 cm and a height of 8.0 cm
3) A cone with a radius of 8.0 cm and a height of 2.0 cm
Please explain your work!
Determine whether two parallel lines that go along the sideline of a field and the center bar of the top-goal post of the soccer net are parallel lines, skew lines, neither, or there is not enough information.
From a normally distributed population, a simple random sample of size 30 is taken. The mean of the sample is 144 and the standard deviation of the sample is 12.
Which interval is the 90% confidence interval for the population mean?
(139.7, 148.3)
142.4, 145.6)
143.3, 144.7)
140.4, 147.6)
The 90% confidence interval for the population mean is (140.4, 147.6), derived from a sample with a mean of 144 and a standard deviation of 12.
Let's break down the steps used to calculate the 90% confidence interval for the population mean:
- Sample mean ([tex]\bar{x}[/tex]): 144
- Sample standard deviation (s): 12
- Sample size (n): 30
- Critical value at 90% confidence (z): 1.645
The formula for the confidence interval is:
[tex]\[ (\bar{x} - z \cdot \frac{s}{\sqrt{n}}, \ \bar{x} + z \cdot \frac{s}{\sqrt{n}}) \][/tex]
Calculate the standard error (SE):
SE = s / sqrt(n)
SE = 12 / sqrt(30)
SE ≈ 2.188
Calculate the margin of error (ME):
ME = z * SE
ME = 1.645 * 2.188
ME ≈ 3.594
Calculate the lower limit (L):
L = [tex]\bar{x}[/tex] - ME
L = 144 - 3.594
L ≈ 140.406
Calculate the upper limit (U):
U = [tex]\bar{x}[/tex] + ME
U = 144 + 3.594
U ≈ 147.594
So, the 90% confidence interval for the population mean is approximately (140.406, 147.594), which rounds to (140.4, 147.6) when considering the appropriate level of precision. Therefore, the correct answer is (D) (140.4, 147.6).
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A rectangular garden measures 38m by 20m, to the nearest metre. Calculate the maximum possible area of the garden.
A theorem is a statement that can be easily prove using a corollary
⇒A theorem is a statement that can be easily prove using a corollary
False Statement
Corollary Means , a Theorem written in another way , when it has been proved.
For Example:The Sum of Angles of Triangle is 180°.-----Theorem
Corollary→If three distinct rays intersect at three points , and sum of interior Angles formed at their point of Intersection is 180°, then it is a Triangle.
Correct Statement will be:
A theorem is a statement that can be easily proved using an Axiom or Postulate.
What is the vertex of the graph of f(x) = |x + 5| – 6?
(–6, –5)
(–6, 5)
(–5, –6)
(5, –6)
Answer:
(–5, –6)Step-by-step explanation:
The given function is a transformation of the base function [tex]y=|x|[/tex].
We can observe that was added 5 units to the x, that is, a negative translation through the horizontal axis. So, our function is located at x = -5, because a horizontal translation to the left is when we add to the x certain units.
Then, we observe that the function subtracted 6 units to the vertical variable, that is, the function is translated 6 units downside.
Therefore, our functions is locate in (-5;-6), it starts there, which is the vertex.
So my mind went blank here, however im paying 30 points for doing it step by step, thanks in advance! And it's also two questions so I'll bud in a 10 extra point for doing the second step by step.
Mr.Lander wants to buy new lab goggles that cost $31.50. He has $4.50 and plans to save $2.25 each week. How many weeks will it take him to save the money?
A. 14 weeks C. 11 weeks
B. 12 weeks D. 10 weeks
(step by step!)
Also this one,
-2(p-1) = 15
A: 13/2 B: 8
C: All real numbers D: -13/2
( step by step!)
Thank you, ill do 65 points instead!
1.
2.25x+4.50 = 31.50
2.25x = 27
x = 27 / 2.25 = 12
Answer is B 12 weeks
2.
-2(p-1) =15
-2p +2 = 15
-2p =13
p = 13 / -2 = -13/2
Answer is D -13/2
In six years, Clem Kadiddlehopper will be five times as old as he was 26 years ago. How old is he now?
multiply each equation by a number that produces opposite coefficients for x or y
1x-1y=100
3/8x + 7/8y= 2000
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}1x-1y=100&\text{multiply both sides by (-3)}\\\dfrac{3}{8}x+\dfrac{7}{8}y=2000&\text{multiply both sides by 8}\end{array}\right\\\\\left\{\begin{array}{ccc}-3x+3y=-300\\3x+7y=1600\end{array}\right\\\\\text{or}\\\\\left\{\begin{array}{ccc}1x-1y=100&\text{multiply both sides by 7}\\\dfrac{3}{8}x+\dfrac{7}{8}y=2000&\text{multiply both sides by 8}\end{array}\right\\\\\left\{\begin{array}{ccc}7x-7y=700\\3x+7y=1600\end{array}\right[/tex]
Answer:
1st option is: -3
2nd option is: 8
Step-by-step explanation: I just did the assessment on edge
A line passes through (−1,−6) and (7,2) .Find the slope-intercept form of the equation of the line. Then fill in the value of the slope, m, and the value of the y-intercept, b, below.
The equation of the line passing through the points (- 1, -6) and (7, 2) will be → y = x - 5. The slope will be [m] = 1 and the y - intercept will be -5.
What is the slope intercept form of a straight line?The slope intercept of a straight line is -
y = mx + c
Where -
[m] is the slope of the line.
[c] is the y - intercept.
Given is a straight line passing through the points (- 1, -6) and (7, 2)
We have a straight line that passes through the coordinates as follows -
(- 1, -6)
(7, 2)
The slope of the line can be calculated using the formula -
m = (y₂ - y₁)/(x₂ - x₁)
m = (2 + 6)/(8)
m = 8/8
m = 1
The line is passing through the point (7, 2). We can write -
y = mx + c
y = x + c [m = 1]
2 = 7 + c
c = 2 - 7
c = -5
The equation of the straight line will be -
y = x - 5
Now, the slope of the line will be [m] = 1 and the y - intercept will be -5.
Therefore, the equation of the line passing through the points (- 1, -6) and (7, 2) will be → y = x - 5. The slope will be [m] = 1 and the y - intercept will be -5.
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Rita's company reimburses her expenses on food, lodging, and conveyance during business trips. the company pays $55 a day for food and lodging and $0.45 for each mile traveled. rita drove 300 miles and was reimbursed $2,335. part
a.create an equation that will determine the number of days x on the trip part
b.solve this equation justifying each step with an algebraic property of equality. part
c.how many days did rita spend on this trip? (1 point)
Beliefs to the left of center emphasize the need for
This year, 450 students are graduating from Big Lake High School. Of the graduates, 68% plan to go to college next year, and 14% plan to start working. The rest of the students do not know what they are going to do yet. How many students are not sure what they are going to do after graduating from high school? 63 students
Mark draws one card from a standard deck of 52. he receives $ 0.45 for a club, $ 0.55 for an ace and $ 0.75 for the ace of clubs. how much should he pay for one draw?
Mark should pay $0.1692 for one draw.
To calculate how much Mark should pay for one draw, we need to find the expected value, which is the sum of the products of each outcome's probability and its associated value.
Calculate the probabilities:
Probability of drawing a club: [tex]\( \frac{13}{52} = \frac{1}{4} \)[/tex]
Probability of drawing an ace: [tex]\( \frac{4}{52} = \frac{1}{13} \)[/tex]
Probability of drawing the ace of clubs: [tex]\( \frac{1}{52} \)[/tex]
Calculate the expected values:
Club: [tex]\( 0.45 \times \frac{1}{4} = 0.1125 \)[/tex]
Ace: [tex]\( 0.55 \times \frac{1}{13} = 0.0423 \)[/tex]
Ace of clubs: [tex]\( 0.75 \times \frac{1}{52} = 0.0144 \)[/tex]
Sum the expected values:
[tex]\( 0.1125 + 0.0423 + 0.0144 = 0.1692 \)[/tex]
Thus, Mark should pay $0.1692 for one draw.
What are the next two numbers in this pattern? 5, â30, 180, â1080, . . ?
Two circles are concentric if they have the same center.
The weights of laboratory cockroaches follow a normal distribution with mean 80 grams and standard deviation 2 grams. about what percent of the cockroaches have weights between 76 and 84 grams?
Answer:
95%
Step-by-step explanation:
0.68% per cent of the cockroaches have weights between 76 and 84 grams.
Given that, the weights of laboratory cockroaches follow a normal distribution with mean 80 grams and a standard deviation 2 grams.
We need to find out what per cent of the cockroaches have weights between 76 and 84 grams.
What is the standard deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
First of all let's find the z-score which is given by the formula;
z = (x' - μ)/σ
From the question, mean= μ = 80 g and standard deviation; σ = 2 g
Test score; x' = 85 g
Thus;
z = (83 - 80)/2
z = 3/2
z = 1.5
From the z-distribution table attached, at z = 1.5, the probability is:
P(z > 1.5) = 1 - 0.9932 = 0.0068 or 0.68%
Therefore, 0.68% per cent of the cockroaches have weights between 76 and 84 grams.
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How much is 5lbs to kg?
1 pound = 0.453592 kg
5 x 0.453592 = 2.26796 kg
round to 2.27 kg
A local theater has floor seating, balcony seating, and box seating. if the theater contains 2,500 seats with 425 seats in the balcony and 215 box seats, how many seats are on the floor?
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2 +9x - 14 =0
Which shows the reflection of the figure over the line
Answer:
The answer appears to be A
Step-by-step explanation:If you redrew the answer backwards, the reflection would match the first one
Answer:
Step-by-step explanation:
What is 8.61×10−88.61×10−8 in decimal form? 0.000000861 0.0000000861 8,610,000 861,000,000?
Four balls of wool will make 8 kintte caps.how many balls of wool will ola need if she wants to make 6 caps
Membership for the alpine rock-climbing gym costs $25 per month plus a $125 sign-up fee. Membership for Rocco’s rock-climbing gym costs $30 per month plus a $50 sign-up fee. A. After how many months will the memberships cost the same? B. If you only wanted a one-year membership, which gym would you join to pay the least amount of money?
After [tex]15[/tex] months memberships will cost the same.
What is membership ?Memberships means that you are the member of any specific group.
We have,
Cost of Membership of Alpine Rock-Climbing gym [tex]=\$25[/tex] per month
And, Cost of sign-up fee of Alpine Rock-Climbing gym [tex]=\$125[/tex]
And,
Cost of Membership of Rocco’s Rock-Climbing gym [tex]=\$30[/tex] per month
And, Cost of sign-up fee of Rocco’s Rock-Climbing gym [tex]=\$50[/tex]
Now,
Let number of months [tex]=m[/tex]
So,
According to the question;
[tex]125+25m=50+30m[/tex]
⇒ [tex]5m=75[/tex]
[tex]m=15[/tex]
So, After [tex]15[/tex] months memberships will cost the same.
B.You should join Rocco’s Rock-Climbing gym to pay the least amount of money in a year.
We have,
One year = [tex]12 months[/tex]
So,
Total cost of one year of Alpine Rock-Climbing gym [tex]=125+25m[/tex]
[tex]=125+25*12[/tex]
[tex]=\$425[/tex]
Total cost of one year of Rocco’s Rock-Climbing gym[tex]=50+30m[/tex]
[tex]=50+30*12[/tex]
[tex]=\$410[/tex]
So, Rocco’s Rock-Climbing gym is cheaper than Alpine Rock-Climbing gym.
Hence, we can say that you should join Rocco’s Rock-Climbing gym to pay the least amount of money in a year.
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Solve the equation for y
3x+y=10
PLEASE HELP ILL GIVE MEDALS AND MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
NEEDS TO BE SOLVED WITH ALGEBRA 2 MEATHOD!!!!!!!!!!!!!!!!!!!!!!!!!!!
Solve 1/m = m - 34/ 2m^2
if 120 marks is 60% what is full marks
multiply each equation by a number that produces opposite coefficient for x or y 4x +5y =7
3x-2y=-12
Final answer:
To produce opposite coefficients for x and y in the given equations, we can multiply the first equation by -3 and the second equation by 4. This allows us to eliminate the x variable and solve for y. The solution to the system of equations is x = -2 and y = 3.
Explanation:
To multiply each equation by a number that produces opposite coefficients for x or y, you need to find a number that, when multiplied by the coefficient, results in a value with the opposite sign. For example, if the coefficient is positive, you need to multiply by a negative number, and if the coefficient is negative, you need to multiply by a positive number.
In the given equations, we have:
4x + 5y = 7
3x - 2y = -12
To produce opposite coefficients for x, we can multiply the first equation by -3 and the second equation by 4. This gives us:
-12x - 15y = -21
12x - 8y = -48
Now, we can add these two new equations to eliminate the x variable:
-12x - 15y + 12x - 8y = -21 + (-48)
-23y = -69
To solve for y, we divide both sides of the equation by -23:
y = -69 / -23
y = 3
Now, we can substitute this value of y back into one of the original equations (let's use the first equation) to solve for x:
4x + 5(3) = 7
4x + 15 = 7
4x = 7 - 15
4x = -8
x = -8 / 4
x = -2
Therefore, the solution to the system of equations is x = -2 and y = 3.