Answer:
4+(n-1)2
Step-by-step explanation:
Because its an arithmatic series for which the formula is
n-term=first term+(n-1)d.
where "d" is the common difference.
Josephine can correct her students test papers in 5 hours, but if her teacher’s assistant helps, it would take them 3 hours. How long would it take the assistant to do it alone?
7 hours 30 minutes
Sure hope this helps you :D
If Josephine alone can correct test papers in 5 hours and if she takes helps from an assistant takes 3 hours then time taken by assistant alone to try and do the full add 7.5 hours.
What is average?An average is basically total sum divided by number whose sum is found. Average= sum/n.
How to calculate time?Josephine takes 5 hours to correct her students test papers.
Josephine and assistant takes 3 hours to correct papers.
Let the test paper contains 100 questions.
In 1 hour Josephine checks 100/5 =20 questions per hour.
In 1 hour Josephine and Assistant checks 100/3=33.33 questions per hour.
In 1 hour assistant checks 33.33-20=13.33 questions.
Time taken by assistant to try to to work alone=100/13.33=7.5 hours.
Hence to try to to the work alone the assistant takes 7.5 hours.
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2 inches Problem 2: = 2 On the map the scale is 5 inch = 25 miles. How many miles would it be to travel 8 - inches on the map? Problem 3:
Answer:
Map Scale Equivalents
Map Scale Miles to Inches
1:100,000 1.6 miles = 1 inch
1:126,700 2 miles = 1 inch
1:150,000 2.4 miles = 1 inch
1:200,000 3 miles = 1 inch
Step-by-step explanation:
The Central Limit Theorem says that when sample size n is taken from any population with mean μ and standard deviation σ when n is large, which of the following statements are false? (4 points)
I The distribution of the sample mean is exactly Normal.
II The distribution of the sample mean is approximately normal.
III The standard deviation is equal to that of the population.
IV The distribution of the population is exactly Normal.
I and II
I only
II and III
II only
The option that is correct about the central limit theorem is D (II only).
What is the Central Limit theorem?According to the central limit theorem, if you have a population with a mean and standard deviation and take sufficiently large random samples from it with replacement, the distribution of the sample means will be nearly normally distributed.
As we know about the central limit theorem, the distribution of the sample means is approximately normal. Therefore, the option that is correct about the central limit theorem is D (II only).
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need help asap pls!
Find the radius, diameter, area, and circumference of the circle
shown:
Step-by-step explanation:
Diameter =30
radius=30/2=15
area =πr²
=π×15²
= π×(15)(15)
=225π cm² or 706.95cm²
circumference C=πD
C=3.142×30cm
C=30πcm or 94.26cm
Find the probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck.
The probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck is 0.01923.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
The probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck will be,
Probability = (13/52) × (4/52) = 0.01923
Hence, The probability of drawing a heart from a standard deck of cards and then drawing a 5 of any suit after the first card is replaced in the deck is 0.01923.
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* (10) If the point (3,a) lies on the graph of the linear relation
described by the equation y=9-4%, determine the
value of a.
Explanation:
The point (3,a) means that x = 3 and y = a pair up together
Plug in those values and compute 'a'
y = 9-4x
a = 9-4(3)
a = 9-12
a = -3
The point (3, a) updates to (3, -3)
The point (3, -3) is on the line y = 9-4x
Which table represents a linear function?
x 1 2 3 4 5
y 5 10 15 20 25
x 1 2 3 4 5
y 5 20 45 80 125
x 1 2 3 4 5
y 5 25 125 625 3,125
x 1 2 3 4 5
y 2 4 8 16 32
Answer:
x 1 2 3 4 5
y 5 10 15 20 25
in x =n+1
in y=5n
helpppppppppppppppppp 25 points
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Things we need to keep in mind in order to plot a point :
x - coordinate of the point shows its distance from origin in horizontal direction. y - coordinate of the point shows its distance from origin in vertical direction.Signs of the coordinates shows which side it lies on.
if x coordinate is positive then the point lies on right side of y - axis and if it is negative then it lies on left side of y - axis.similarly,
if y coordinate is positive then the point lies above the x - axis , and if it's negative then it lies on down the x - axis.Now, let's proceed ~
First check out its x - coordinate on origin and move up or down according to its y - coordinate and you will get your required point.
So, for point (1 , 0) it has y - coordinate = 0, so it lies on x - axis at the x - coordinate of 1.
Identify the function that best models the given data
Answer:
f(x) ≈ 58.20x2 + 18.96x + 34.46
Step-by-step explanation:
Notice that the year data are evenly spaced. Check the first differences between the total number or units to see if the data set is linear.
First Differences
113 − 34 = 79
304 − 113 = 191
615 − 304 = 311
1042 − 615 = 427
1584 − 1042 = 542
Because the first differences are not constant, a linear model is not the best model of the data. Check the second differences to see if the data set can be modeled by a quadratic function.
Second Differences
191 − 79 = 112
311 − 191 = 120
427 − 311 = 116
542 − 427 = 115
The second differences are approximately the same so we will use a quadratic function to represent the data.
Enter the data into a calculator. Plot the data and find the quadratic regression equation that best models the data.
f(x) ≈ 58.20x2 + 18.96x + 34.46
Which deal is better? 10 slices of cheese at $2.48 or 12 slices of cheese at $3.18?
Answer: 10 Slices
Step-by-step explanation:
10 slices of cheese is about $0.24 a slice.
12 Slices of cheese is about $0.26 a slice.
So 10 slices is the better deal.
Solve the equation by using the Quadratic Formula. Round to the nearest tenth, if necessary. Write your solutions from least to greatest, separated by a comma, if necessary. If there are no real solutions, write no solutions.
-3x2=8x−12
Answer:
x = −3.737034184 or 1.070367517
Step-by-step explanation:
This is my working for this question
−3x^2−(8x−12)=8x−12−(8x−12)
−3x^2−8x+12=0 // first make it =0
Now we know a=-3, b=-8, c=12
then use quadratic formula for answer
x = −3.737034184 or 1.070367517
An object moves in simple harmonic motion with period 8 seconds and amplitude 6 cm. At time t = 0 seconds, its displacement d from rest is -6 cm,
and initially it moves in a positive direction.
Give the equation modeling the displacement d as a function of time t.
d = 0
昌 石
UT
CD
In the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
What is simple harmonic motion?Simple Harmonic Motion is described as a motion in which the restoring force is proportionate to the body's displacement from its mean position.
We have:
Amplitude A = 6 cm
Time period = 8 seconds
T = 2π/w
8 = 2π/w
w = π/4
Its displacement d from rest is -6 cm, and initially, it moves in a positive direction.
d(0) = -6 cm at t = 0
The equation becomes:
[tex]\rm d = 6sin(\dfrac{\pi}{4}t)-6[/tex]
Thus, in the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
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The plots in A-D all show ____________ correlation.
Answer:
Positive corralation
Step-by-step explanation: Algebra 1A-B
The area of the triangle below is 14.25 square feet. What is the length of the base?
Answer:
5.7 feet
Step-by-step explanation:
Given:
[tex]\text{Height of triagle: 5 ft}[/tex]
Formula;
[tex]\text{Area of triangle}= \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
Substitute the height and the area in the formula;
[tex]\implies\text{Area of triangle}= \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
[tex]\implies14.25 = \dfrac{1}{2} \times \text{Base} \times 5[/tex]
Use cross multiplication;
[tex]\implies14.25 = \dfrac{1}{2} \times \text{Base} \times 5[/tex]
[tex]\implies14.25 \times 2= \text{Base} \times 5[/tex]
Simplify the left hand side;
[tex]\implies14.25 \times 2= \text{Base} \times 5[/tex]
[tex]\implies28.5= \text{Base} \times 5[/tex]
Divide both sides of the equation by 5;
[tex]\implies\dfrac{28.5}{5} = \dfrac{\text{Base} \times 5}{5}[/tex]
[tex]\implies \text{Base} = \dfrac{28.5}{5} = 5.7 \ \text{ft}[/tex]
Therefore, the measure of the base is 5.7 feet.
Answer:
5.7 feet
Step-by-step explanation:
The area formula for a triangle: A=(1/2) Base x Height
1. What we know: 14.25=(1/2)Base x 5
2. Now isolate "base" to get the answer. First, divide by 1/2. Dividing by 1/2 is the same as multiplying by 2. Leaves us with: 28.5=Base x 5.
3. The last thing we have to do is divide 5: 5.7=base.
4. To make sure, check with the formula: (1/2) 5.7 x 5=14.25
i need help with this please.
Answer:
1) 4*(-2)-3=-11
2) 5(0+1)=5*1=5
3) 3*-9+4=-23
4)(12-1)6=66
5) -7*(-1)=7
Step-by-step explanation:
if you cant see let me know.
Answer:
Photo is blurred not be able to seee
Find the slope of the line y=1/6x+3/2
Answer: slope = 1/6
Reason:
The given equation is in slope-intercept form y = mx+b
m = 1/6 = slope
b = 3/2 = y intercept
Help (again) (Brainly wont let me post without 20 chars so filling in gaps)
Step-by-step explanation:
[tex]at \:x = 0 \: y = 5 \\ at \:x = 1 \: y = 20 \\ y = mx + b \\ b = 5 \\ 20 = m + 5 \\ m = 15 \\ y = 15x + 5[/tex]
What is the product of the difference between 12 and 3 and the quotient of 12 and 3
Answer: 12 divided by 3 equals 4
Step-by-step explanation: this should answer your question if not, then please feel free to message me.
According to the given information, the difference between 12 and 3 is 9 and the quotient of 12 and 3 is 4. Hence, the Product of the difference and the quotient is 36.
Use the concept of multiplication defined as:
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
To find the product and quotient you mentioned,
Break it down step by step.
First, let's find the difference between 12 and 3.
The difference is the result of subtracting one number from another. So,
12 - 3 = 9.
Next, let's find the quotient of 12 and 3.
The quotient is the result of dividing one number by another. So,
12 ÷ 3 = 4.
Finally, to get the product of the difference and the quotient,
We multiply them together.
In this case,
9x4 = 36.
Hence, the product of the difference between 12 and 3 and the quotient of 12 and 3 is 36.
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write the coordinate pair for L
Answer:
Step-by-step explanation:
L can be 1/3, 1/3
What is the scale factor of the dilation?
Step-by-step explanation:
ANSWER MY RECENT question
Help pls the question on the screen shot
39 is 50% of what number?
A. 19.5
B. 64
C. 68
D. 78
Answer:
A-19.5
Step-by-step explanation:
You take 39 and times it by 50%
The divide 50 by 100
39 times 50/100
=19,5
Answer:
D. 78
Step-by-step explanation:
Write the expression as a decimal number.
6 × 1 + 1 × 1/10+ 8 × 1/100 + 6 × 1/1000 =
Answer:
=6.186
explanation;
first divide then u will get this
6+1×0.1+8×0.01+6×0.001
second multiply then you will get this
6+0.1+0.08+0.006
third you will get the answer which is
=6.186
Vanessa bought a house for $268,500. she has a 30 year mortgage with a fixed rate of 6.25%. vanessa’s monthly payments are $1,595.85. how much was vanessa’s down payment?
Based on the calculation below, the amount of vanessa’s down payment is $9,314.45.
Calculation of down paymentFirst, we have to calculate the balance after deducting vanessa’s down payment using the formula for calculating the present value (PV) of an ordinary annuity as follows:
PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)
Where;
PV = Present value or balance after deducting vanessa’s down payment = ?
P = Monthly payment = $1,595.85
r = Monthly interest rate = 6.25% / 12 = 0.0625 / 12 = 0.00520833333333333
n = number of months = 30 * 12 = 360
Substitute the values into equation (1), we have:
PV = $1,595.85 * ((1 - (1 / (1 + 0.00520833333333333))^360) / 0.00520833333333333) = $259,185.55
Now, the amount of vanessa’s down payment can be calculated as follows:
Vanessa’s down payment = Cost of the house – PV = $268,500 - $259,185.55 = $9,314.45
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Mike has 5 candy bars he wants to cut into 1/4 pieces to give to his friends. If he cuts all 5 candy bars into equal 1/4 portions,how many pieces does he have to give to people?
Answer: 20
Step-by-step explanation:
1 candy into 1/4 is 4 pieces
5candy will be 20 pieces
helppppppppppppppp 98 points
Answer:
18 square units
Step-by-step explanation:
The top line has 5 shaded squares
The next line has 5 shaded squares
The third line from the top has 2 squares
The fourth line from the top has 2 squares
The fifth line from the top has 2 squares
The sixth line from the top has 2 squares
Add them together
5+5+2+2+2+2 = 18
18 square units
Which function has a vertex on the y-axis? f(x) = (x – 2)2 f(x) = x(x 2) f(x) = (x – 2)(x 2) f(x) = (x 1)(x – 2)
The function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)
How to determine the function?For a function to have its vertex on the y-axis, then the coordinate of the vertex must be:
(h,k) = (0,y)
A quadratic function is represented as:
f(x) = (x - h)^2 + k
So, we have:
f(x) = (x - 0)^2 + k
Evaluate
f(x) = x^2 + k
From the list of options, we have:
f(x) = (x - 2)(x + 2)
Expand
f(x) = x^2 - 4
Hence, the function that has a vertex on the y-axis is f(x) = (x - 2)(x + 2)
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?Eric conducted an experiment in his science class and recorded the data in a table.
Eric’s science experiment, time (seconds), 3, Six, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.
What is the constant of proportionality that relates the distance traveled, y, to the elapsed time in seconds, x, represented by this data?
The constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Eric conducted an experiment in his science class and recorded the data in a table.
Eric’s science experiment, time (seconds), 3, 6, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.
Let x be the time and y be the distance.
Let the distance and time be linear to each other. Then the linear equation is given as
y - 36 = [(36 - 18) / (6 - 3)] (x - 6)
y - 36 = 6 (x - 6)
y = 36 + 6x - 36
y = 6x
Then the constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.
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Work out the perimeter of a quarter circle that has the diameter of 7cm
Answer:
Perimeter = 12.5 cm
Step-by-step explanation:
Perimeter of quarter cirlce:d = 7 cm
[tex]\sf \boxed{\text{Circumference of quarter circle =$\dfrac{1}{4} \pi d$}}[/tex]
[tex]\sf = \dfrac{1}{4}*\dfrac{22}{7}*7\\\\ =\dfrac{11}{2}\\\\ = 5.5 \ cm[/tex]
Perimeter = radius + radius + circumference of quarter circle
= diameter + circumference of the quarter circle.
= 7 + 5.5
= 12.5 cm
Answer:
24.997
Step-by-step explanation:
its actually really hard for me to explain im sorry i only know the answer-