Answer:
[tex]P = A - I[/tex]
Step-by-step explanation:
A = P + I (Given)[tex]\implies P = A - I[/tex]Georgina likes to read during her summer break. The table below shows the number of pages in each book she read last summer and the number of pages in each book she read this summer.
Number of Pages Georgina Reads during the Summer
Last Summer
140
220
190
180
190
This Summer
150
170
150
190
180
What inference can someone draw about the data?
The books she read this summer had more pages, on average, than last summer.
The number of pages in each book varied more last summer than this summer.
Last summer, the average book had nearly twice the number of pages than the average book has this summer.
This summer, the number of pages in a book varied nearly twice as much as the number of pages in last summer's books
The standard deviation is a measure of a collection of values' variance or dispersion. The correct option is B.
What is a standard deviation?The standard deviation is a measure of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation shows that the values are spread out over a larger range.
For the last summer,
Mean = (140 + 220 + 190 + 180 + 190) / 5 = 920/5 = 184
[tex]\sigma={\sqrt {\dfrac{(140-184)^2+ (220-184)^2+(190-184)^2+(180-184)^2+(190-184)^2}{5}}}\\\\\sigma = 25.7682[/tex]
For this summer,
Mean = (150 + 170 + 150 + 190 + 180) / 5 = 840/5 = 168
[tex]\sigma={\sqrt {\dfrac{(150-168)^2+ (170-168)^2+(150-168)^2+(190-168)^2+(180-168)^2}{5}}}\\\\\sigma = 16[/tex]
Hence, The number of pages in each book varied more last summer than this summer. Thus, the correct option is B.
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Please help!! I will give 20 points to the correct answer !! Thanks so much
Answer:
-6 and 10
Step-by-step explanation:
i did this before. np kiddo
Answer:
-6, +10
Step-by-step explanation:
You are looking for factors of -60 that have a sum of 4. It can be helpful to list them so that they have a positive sum.
-60 = (-1)(60) = (-2)(30) = (-3)(20) = (-4)(15) = (-5)(12) = (-6)(10)
The sums are 59, 28, 17, 11, 7, 4. The factor pair of -60 that has a sum of 4 is ...
-6 and 10
_____
Additional comment
The square root of 60 is between 7 and 8, neither of which are factors of 60. That means the above list includes all of the factor pairs of 60. We have chosen the signs so that the sums are positive and the product is negative.
I will give BRAINLIEST! ANSWER QUESTION! I NEED IT ASAP
Out of a sample of 500 high school students, 376 said they would prefer to have computers in every classroom. Construct a 95% confidence interval for the population mean of high school students who would prefer to have computers in every classroom.
CI = (71.41%, 78.99%)
CI = (71.98%, 79.45%)
CI = (70.23%, 80.17%)
CI = (72.02%, 78.38%)
The correct answer is CI = (71.415%, 78.915%)
The correct option is (A)
What is Confidence level?A confidence interval is the mean of your estimate plus and minus the variation in that estimate.
Given:
x = 376
Sample = 500 students
CI= [(376/500-1.96 √((376/500)*(124/500)/500) , (376/500-1.96
√((376/500)*(124/500)/500)]
CI = (71.415%, 78.915%)
Hence, CI = (71.415%, 78.915%)
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Which statement describes the relationship between x and y?
As x increases, y decreases.
As x increases, y increases.
As x increases, y increases and then decreases.
As x increases, y decreases and then increases.
Were you not given a diagram?
IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Find the probability, rounded to four decimal digits, that the person has an IQ greater than 120. Below is a sketch of the normal curve showing the area to be determined
The probability that the person has an IQ greater than 120 is 0.2524 of 25.24%
What is probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given:
IQ is normally distributed with a mean of 100 and a standard deviation of 15.
probability that the person has an IQ greater than 120,
P(x >120)
= P(Z > 120-100/ 15)
= P(Z > 0.667)
P(x >120) = 1- P(Z < 0.667)
= 1-0.7476
= 0.2524
= 25.24%
Hence, the probability is 0.2524.
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Please answer this for me
Step-by-step explanation:
all the details see in the attachment.
Josefin is 32 years younger than Annete. How many years ago was Annetes age twice Josefins age if Annete is 74 now.
Annette's age will be twice Josefin's age 10 years ago.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division
Given that:-
Josefin is 32 years younger than Annette. How many years ago was Annette's age twice Josefins age if Annette is 74 now.
So we can see that their present age Annette is 74 so the present age of Josefin will be 32 years lesser.
J = 74 - 32 = 42 years
The before 10 years ages of both the Josefin and Annettes will be:-
J = 42 - 10 = 32
A = 74 - 10 = 64
The ratio of the ages is:-
A / J = 64 / 32 = 2
A = 2 J
Therefore Annette's age will be twice Josefin's age 10 years ago.
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A class of 32 students contains 15 boys.
Twenty of the students walk to school each
day. Eight of the girls do not walk to school.
How many boys walk to school each day?
Answer:
11 boys walk to school each day
Step-by-step explanation:
*The following will be assumed: the only genders of students in the class are male or female; the only options for getting to school are walking or not walking
If there are 32 students in the class total, and there are 15 boys,
32 - 15 = 17
there are 17 girls.
If 8 of these girls do not walk to school,
17 - 8 = 9
9 girls walk to school
So, if 20 total students walk to school, and 9 of those are girls
20 - 9 = 11
11 boys walk to school each day.
Answer:
11
Step-by-step explanation:
17. Your friend is betting on a game in which the probability of winning is 1 in 5. He has lost 5 games in a
row, so he says he will double his bet on the next game. What do you tell your friend?
The only problem is you may also go bankrupt before you're able to double your bet enough times.
If the game's events are independent, similar to flipping a coin, then the probability never changes, it's still a 1 out of 5 chance of winning each time.
The coin has no memory, so it will always have the same probability on each flip.
If the games' events are like that, a losing streak doesn't mean a win is now more likely.
But if the events are not independent, it may make sense to increase the bet.
for example, a bag has 10 coins and 2 are worth 100. You reach in and pull out 5 coins, all worth only a penny each.
What is the probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Your odds of getting one of the 2 $100 coins is now much greater than the original 1 out of 5 chance.
You originally had a 2 out of 10 chance on the first draw. But now it's up to 2 out of the remaining 5 or 40% chance of winning.
There is another reason someone may wish to double their bet. If you doubled your bet each time you lost, you would eventually recoup all your losses. It can work.
The only problem is you may also go bankrupt before you're able to double your bet enough times.
That risk is usually considered too great to double your bets on independent events.
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a cuboid has length 18.5 cm, width 9.4 cm a height 6.2 cm. Work out the area of the cuboid
Answer:
693.76 cm²Step-by-step explanation:
a cuboid has length 18.5 cm, width 9.4 cm a height 6.2 cm. Work out the area of the cuboid
assuming you are looking for thr surface area
Surface Area of a Cuboid ·
TSA = 2 (lw + wh + hl)
2*( 18.5 * 9.4 + 9.4 * 6.2 + 6.2 * 18.5) = (remember PEMDAS)
2 * 346.88 =
693.76 cm²
Work out the lengths of sides a and b.
Give your answers to 1 decimal place.
triangle a is a right angled triangle with a height | of 8cm base of 5cm and missing hypotenuse
triangle b is a right angled triangle with a height | of 12cm and a hypotenuse of 17cm with a missing base
The length of the missing sides of triangles A and B are 9.43 cm and 12.04 cm respectively.
Pythagoras theoremTriangle A:
Height = 8cmBase = 5cmHypotenuse = x cmHypotenuse² = height ² + base²
x² = 8² + 5²
= 64 + 25
x² = 89
x = √89
x = 9.43 cm
Triangle B:
Height = 12cmBase = x cmHypotenuse = 17 cmHypotenuse² = height ² + base²
17² = 12² + x²
17² - 12² = x²
289 - 144 = x²
145 = x²
x = √145
x = 12.04 cm
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Ming drove to the lake and back. On the trip there she drove 30 km/h and on the return trip she went 24 km/h. How long did the trip there take if the return trip took five hours?
The trip to the lake took 4 hours.
How long did the trip to the lake take?The first step is to determine the distance of the trip.
Distance = average speed x time
24 km/h x 5 = 120 km
Time = distance / average speed
120 / 30 = 4 hours
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is JH is the perpendicular bisector of GI what is GH?
Answer:
GH=12
Step-by-step explanation:
Definition of a perpendicular Bisector: a perpendicular bisector intersects another line segment at 90° and divides it into two equal parts.
Therefore it divides the line GI into two equal parts. That means that GH=HI and it was given that HI=12.
If you receive a 30% DISCOUNT off an item costing $60.00, how much money do you save?
Answer:
Money saved = $18
Step-by-step explanation:
Firstly, the term discount equals the difference between the price paid for and it's par value. Discount is a kind of reduction or deduction in the cost price of a product.
Given
Cost of an Item = 60$
Discount % = 30% on cost
Hence, Discount in $ = 60$*30%
= 18$
Actual Cost = 60$ - 18$ = 42$
Therefore, Savings = Discount
= 18$
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Which explicit formula models this situation
Answer:
The formula is: y = y•e^(-k•x)
In this specific case the function is: 512•e^(-x/1.44)
The number of players in the round 7 is 4
The number of wrecks at a certain intersection varies directly as the number of cars that travel through the intersection. If there are 31 wrecks when 1,085 cars have traveled through the intersection, how many cars have passed through the intersection after 7 wrecks?
Answer:
Step-by-step explanation:
Comment
This can be done as a proportion. A proportion is 2 equal ratios. If you know three parts of the proportion then you can solve for the 4th.
Proportion
31 wrecks/1085 cars = 7 wrecks / x cars
Solution
31 wrecks/1085 cars = 7 wrecks / x cars Cross Multiply
31 * x = 1085 * 7 Simplify the right
31 * x = 7595 Divide both sides by 31
31 * x/31 = 7595/31
x = 245
Answer 7 wrecks means 245 cars have passed the intersection
Select the correct answer from each drop-down menu. Consider this system of equations: (equation A) (equation B) The solution for the system of equations is .
The solution for the system of equations is: (99/13, 150/13)
Given the two expression 2/3x+3/5y=12 and 5/2y-3x=6
We have to find solution of two given expression.
To find the value of x, we have to eliminate y by making y the subject of formula in any of the equations.
Multiply equation A by 5/3 t.o get,
5/3(2/3x) + 5/3(3/5y) = 5/3(12)
10/9x + y = 20
y = 20 - 10/9x
substituting for y into equation b, we have:
5/2(20 - 10/9x) - 3x = 6
50 - 25/9x - 3x = 6
52/9x = 44
52x = 396
The expression that gives the value of x is: 52x = 396
Hence, x = 396/52 = 99/13
y = 20 - 10/9(99/13) = 20 - 110/13 = 150/13
Hence The solution for the system of equations is: (99/13, 150/13)
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Shauna solved the polynomial equations given in the table.
Determine whether each polynomial is correct. Select Correct or Incorrect for each equation.
Equation
-
(5a - 8) + (2a² + 2a − 1) = 2a² + 7a - 9
(6² +6b-4) (3b +6²) = 26² +36-4
(9c-4c²) - (2c² + c) = -6c² + 10c
-
Correct
Incorrect
Answer:
(5a - 8) + (2a² + 2a − 1) = 2a² + 7a - 9 - correct.
Step-by-step explanation:
(5a - 8) + (2a² + 2a − 1) = 2a² + 7a - 9 - correct;
(6² +6b-4) (3b +6²) = 26² +36-4 - incorrect (correct is: 18b²+...36²);
(9c-4c²) - (2c² + c) = -6c² + 10c - incorrect (correct is: -6c² + 8c).
a. d(7) 6
b. Interpret the meaning of d(7):
OA. In the first 6 seconds, the particle moved a total of 7 feet.
B. The particle was 7 feet away from the starting line 6 seconds since timing started.
OC. The particle was 6 feet away from the starting line 7 seconds since timing started.
D. In the first 7 seconds, the particle moved a total of 6 feet.
c. Solve d(t) = 2 for t. Use commas to separate your answers if there are more than one solution. t =
d. Interpret the meaning of part c's solution(s):
OA. The article was 2 feet from the starting line 9 seconds since timing started.
OB. The article was 2 feet from the starting line 1 seconds since timing started.
C. The article was 2 feet from the starting line 1 seconds since timing started, or 9 seconds since timing started.
D. The article was 2 feet from the starting line 1 seconds since timing started, and again 9 seconds since timing started.
dit on this problem.
Answer:
Step-by-step explanation:
Solve the inequality graphically. 3^-8 > 6^-8
a. x < 1
b. x > 1
c. x > 0
d. x < 0
THE ANSWER IS -> b. x > 1
hope it helps
thanks
Answer: c. x>0
Step-by-step explanation:
Create a budget that will allow you to save at least $100 by the end of October.
Remember, your old budget reflected a net income of $1850.00 and included these expenses:
$600 for your rent
$475 for your car payment, car insurance, and gas
$230 for your utilities, phone, and Internet
$300 for your groceries
$50 for your entertainment
$20 for your renters insurance
$75 for discretionary spending
A final net total of $100 saved per month
Creating a New Budget to Meet Your Saving and Spending Needs
Your new budget needs to include these changes:
A new line to budget $50 per month toward a new computer
Other expenses may be modified as you choose.
A final net total of at least $300 saved per month
According to the updated budget, the net income should be at least $2100.
A budget is an estimated strategy for a certain timeframe, mostly one year. Additionally, projected material amounts, expenditures, liabilities, holdings, responsibilities, and working capital may be included.
The following list explains why the figures shown above are accurate:
The factors for the costs in the previous budget are;
Net income =$1,850.00
Cost of rent =$600
Gas, vehicle payment, and insurance together = $475.
Cost of phone, online world, and utility companies = $230.
Cost of grocery stores= $300
Cost of amusement= $50
Cost of homeowners insurance = $20.
$75 has been set aside for recreational expenditures.
Net monthly savings = $100.
Modifications to the spending plan:
$50 is the allotted sum for a computer system.
Monthly net savings = $300
∴Savings increases= $300-$100=$200
Previous net income+ cost of computer system+ 200(extra savings than previous)
= $(1850+50+200)
=$2100
So,Net earnings = $2,100
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Select the correct answer. The table represents a proportional relationship. x y 11 2 22 4 33 6 The graph represents another proportional relationship. Which equation represents the lower unit rate of these two relationships? A. B. C. D. Reset Next
The equation which represents the lower unit rate of these two relationships is y = 2x/11.
How to determine the equation?In order to determine the equation which represents the lower unit rate of these two relationships, we would find the slope of the given points.
Mathematically, the slope of a straight line can be calculated by using this formula;
[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]
Substituting the given parameters into the formula, we have;
[tex]Slope = \frac{6\;-\;4}{33\;-\;22}\\\\Slope = \frac{2}{11}[/tex]
Slope = 2/11.
From the standard equation, we have:
y = mx + c
y = 2x/11 + 0
y = 2x/11.
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Find the equation of the line using the given information.
(x, y) = (−3, 0)
and
(x, y) = (−3, 7)
are points on the line
The sum of two numbers is ten. One number is twenty less than four times the other. Find the numbers
Answer:
6 and 4
Step-by-step explanation:
Let one number be x.
Then another will be : 4x - 20
In accordance with the question;
x + 4x - 20 = 10
5x = 10 + 20
x = 30/5
= 6
x = 6
4x - 20 = 4×6 - 20 = 4
So, the numbers are 6 and 4.
simplify (8x2y3)/(2x4y)
Answer:
1) 8x/2x = 4
2) 2y/4y = 1/2
3) (4 x 1/2 x 3) = 6
4) /2
solutions= 6/2=3
what is the measure of 4?
Answer:
∠ 4 = 80°
Step-by-step explanation:
∠ 5 and 100° are vertical angles and are congruent , so
∠ 5 = 100°
∠ 4 and ∠ 5 are same- side interior angles and sum to 180° , that is
∠ 4 + ∠ 5 = 180°
∠ 4 + 100° = 180° ( subtract 100° from both sides )
∠ 4 = 80°
82% of what number is 94.3
Answer:
let the no. be X
82% of X = 94.3
82/100 *X = 94.2
X = 94.2 *100/82
X = 94.2/0.82
X = 114.8
Answer:
115
Step-by-step explanation:
82% = 82/10 = 0.82
94.3 / 0.82 = 115
Hope this helps
1. Given GH = 7x + 3, HI= 3x - 5,
and GI= 9x + 5.
H
G
A. Find x:
B. Find GH:
Answer:
[tex]\boxed{\bf x=7}[/tex]
[tex]\boxed{\bf GH= 52}[/tex]
Step-by-step explanation:
In the line segment..
[tex]\bf 7x+3+3x-5=9x+5[/tex]
Combine like terms.
[tex]\bf 10x-2=9x+5[/tex]Add -2 to both sides.
[tex]\bf 10x-2+2=9x+5+2[/tex][tex]\bf 10x=9x+7[/tex]Subtract 9x from both sides.
[tex]\bf 10x-9x=9x+7-9x[/tex][tex]\boxed{\bf x=7}[/tex][tex]\bf GH=7x+3[/tex]
[tex]\bf 7(7)+3[/tex][tex]\bf 49+3[/tex][tex]\boxed{\bf 52}[/tex]__________________what is slope in algebra 1?
Answer:
rise over run aka a measure of its steepness
Step-by-step explanation:
Which compound inequality is represented by the graph?
-3≤x<1
-3 < x≤1
x≤-3 or x> 1
x<-3 or x ≥ 1
The inequality will be the negative 3 ≤ x < 1. Then the correct option is A.
The missing graph is attached below.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Then the inequality will be
-3 ≤ x < 1
Then the correct option is A.
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Answer:
the answer is A
Step-by-step explanation:
