Mathematics College
Answers
Answer 1
the length of blue rectangle 2 to the width of green rectangle 6 is: 2/6 = 0.33 (rounded to two decimal places)
How to find the length of blue rectangle?
To find the length of blue rectangle 2 in relation to the length of green rectangle 4, we need to divide the length of blue rectangle 2 by the length of green rectangle 4.
So, the length of blue rectangle 2 to the length of green rectangle 4 is:
2/4 = 0.5
To find the length of blue rectangle 2 in relation to the width of green rectangle 6, we need to divide the length of blue rectangle 2 by the width of green rectangle 6.
So, the length of blue rectangle 2 to the width of green rectangle 6 is:
2/6 = 0.33 (rounded to two decimal places)
Note that the ratio of the length of blue rectangle 2 to the length of green rectangle 4 is different from the ratio of the length of blue rectangle 2 to the width of green rectangle 6.
A rectangle is a two-dimensional shape that has four sides and four right angles. It is a type of quadrilateral, which means a four-sided polygon.
In a rectangle, the opposite sides are parallel and have equal length. This makes it different from a square, which is also a rectangle but has four equal sides.
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Related Questions
f(x) = 5•3x what is the domain of the exponential function
Answers
Answer:
Step-by-step explanation:
Domain: (- infinity, infinity)
Range: (0, infinity)
Solve the equation 4x + 5y = 9 for x.
Answers
Answer:
x = -5y+9/4
Step-by-step explanation:
4x + 5y = 9
↓
(4x + 5y) + (-5y) = 9 + (-5y)
↓
4x + 5y - 5y = 9 - 5y
↓
4x = -5y + 9
↓
4x/4 = -5y + 9/4
↓
x = -5y + 9/4
Answer: x = 9/4 - 5y/4
Step-by-step explanation: Move all terms that don't contain x to the right side and solve.
I need help with this question thank you
Answers
Step-by-step explanation:
that makes NOP and QRP similar triangles.
that means that there is one common scale factor for the lengths of all pairs of correlating sides.
that means
QR/NO = RP/OP
OP = OR + RP
20/32 = RP/(12 + RP)
20(12 + RP) = 32RP
240 + 20RP = 32RP
240 = 12RP
RP = 20
Assume that when adults with smartphones are randomly selected, 44% use them in meetings or classes. If 7 adult smartphone users are randomly selected, find the probability that exactly 5 of them use their smartphones in meetings or classes.
Answers
Answer:
The probability that exactly 5 of the 7 selected smartphone users use their phones in meetings or classes is approximately 0.0127 or 1.27%.
Find exact values for the following:
Answers
Answer:
-sqrt(2)
-sqrt(2)
1
1
Step-by-step explanation:
Tan^2a-cosec^2a+1=0 value of pie
Answers
the solutions for a are:
a = n×π, π/4, or 7π/4, where n is any integer.
define integer
An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.
tan²(a) - csc²(a) + 1 = 0
tan²(a) - (1/sin²(a)) + 1 = 0
(tan²(a)sin²(a) - 1 + sin²(a))/sin²(a) = 0
Simplifying the numerator:
(tan²(a) - 1)sin²(a) = 0
Using the identity tan^2(a) = sec²(a) - 1:
(sec²(a) - 2)sin²(a) = 0
Expanding and simplifying:
sec²(a)sin²(a) - 2sin²(a) = 0
sin²(a)(sec^2(a) - 2) = 0
So either sin²(a) = 0 or sec²(a) - 2 = 0.
If sin²(a) = 0, then a is an integer multiple of pi (i.e., a = n×π for some integer n).
If sec²(a) - 2 = 0, then sec²(a) = 2,
cos(a) = ±√(2)/2
So a can be π/4 or 7π/4.
Therefore, the solutions for a are:
a = n×π, π/4, or 7π/4, where n is any integer.
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pls help im very stuck
Answers
Answer:
Step-by-step explanation:
zachary climed 9.5 m
erin climed 8.8m
to 2 dp
zachary-9.51
erin-8.76
I need help with the graph about it increasing and decreasing!!
Answers
Answers:
Increasing: [tex](-1.5, 2)[/tex]
Decreasing: [tex](-\infty,-1.5) \cup (2,\infty)[/tex]
==================================================
Explanation:
A function curve is considered increasing when moving uphill as you move to the right.
We're going uphill on the interval [tex]-1.5 < \text{x} < 2[/tex] which translates to the interval notation [tex](-1.5, 2)[/tex]. Be sure not to confuse this with ordered pair notation which unfortunately looks identical. The curved parenthesis are used to exclude each endpoint.
-------------
When moving to the right, we go downhill on two separate regions:
When x < -1.5, aka [tex]-\infty < \text{x} < -1.5[/tex]When x > 2, aka [tex]2 < \text{x} < \infty[/tex]
The first portion translates to the interval notation [tex](-\infty,-1.5)[/tex]
The second portion translates to [tex](2,\infty)[/tex]
We glue those regions together with a union symbol to get [tex](-\infty,-1.5) \cup (2,\infty)[/tex]
The union symbol basically means "or" when it comes to interval notation. So we are decreasing on the interval [tex](-\infty,-1.5)[/tex] or decreasing on the interval [tex](2,\infty)[/tex]
You've just finished making 3 batches of plastic tumblers: a red batch, a yellow batch, and a purple batch. There are 500 tumblers in each batch. You are now making sets of 3 tumblers that contain 1 tumbler of each color. How many sets can you make?
Answers
Answer: Since there are 500 tumblers in each batch, there are a total of:
500 tumblers/batch × 3 batches = 1500 tumblers
To make a set of 3 tumblers with one tumbler of each color, we can choose one tumbler from each batch. There are 500 choices for the tumbler from the red batch, 500 choices for the tumbler from the yellow batch, and 500 choices for the tumbler from the purple batch. Therefore, there are:
500 choices for the first tumbler × 500 choices for the second tumbler × 500 choices for the third tumbler = 500^3 = 125,000,000 possible sets of 3 tumblers.
However, we are interested in the number of sets that can be made from the available tumblers. Each set requires one tumbler from each batch, and since there are 500 tumblers in each batch, we can make:
500 sets/batch = 500 sets/batch × 3 batches = 1500 sets
Therefore, we can make a total of 1500 sets of 3 tumblers from the available tumblers.
Step-by-step explanation:
An experiment consists of selecting a card at random from a 52-card deck. Refer to this experiment and find the probability of the event. (Enter your answer as a fraction.)
A club or a jack is drawn.
Answers
4/13 is the probability of drawing a club out of the deck of card if a card at random is selected from a 52-card deck.
Probability of an experiment consisting of a card
There are 13 clubs and 4 jacks in a standard 52-card deck. However, we need to be careful not to double-count the jack of clubs, which is both a club and a jack.
So the number of cards that are either a club or a jack (excluding the jack of clubs) is:
13 (clubs) + 4 (jacks) - 1 (jack of clubs) = 16
Therefore, the probability of drawing a club or a jack (excluding the jack of clubs) is:
P(club or jack) = number of favorable outcomes / total number of outcomes
= 16 / 52
= 4 / 13
So the probability of drawing a club or a jack is 4/13.
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Plot the following points and join them together and describe what you get, (1₁-1), (2,1), (3, 3), (4.5) (5.7)
Answers
Answer:
A positive line
Step-by-step explanation:
Answer:
Step-by-step explanation:
you get a straight line with a slope = 2
the line slants up and to the right
it passes through the y axis at the point (0, -3)
PLEASE HELPPPPP
THANKS
Answers
The value of x =8
Explanation:
Height of a cylinder = volume/ (pi x radius^2)
Volume= 628m^3
pi=3.14
Radius = 5^2 = 25
Height = 628/ 3.14x25
=8
Answer this please!
Answers
The answer might be B or C.
Suppose that x is normally distributed with a mean of 30 and a standard deviation of 3. What is P(27.42 ≤ x ≤ 34.08)?
Answers
The answer to this question is 0.6826, or 68.26%. To calculate this probability, we need to use the z-score formula.
What is z-score formula?
The z-score formula is a statistical measurement that is used to identify how far a raw score is from the mean score of a population. It is calculated by subtracting the population mean from an individual raw score and then dividing the difference by the population standard deviation.
This formula allows us to convert a given value into a standardized score relative to the mean and standard deviation of the normal distribution. In this case, the z-score for 27.42 is -1 and the z-score for 34.08 is 1.
We can then use the cumulative normal distribution function to calculate the probability of x being between 27.42 and 34.08. This function allows us to calculate the area under the normal distribution curve between two given points. Since the normal distribution is symmetrical, the area under the curve between -1 and 1 is 0.6826 or 68.26%. This is the probability of x being between 27.42 and 34.08.
To summarize, in order to calculate the probability of x being between 27.42 and 34.08, we need to calculate the z-scores of these two values and then use the cumulative normal distribution function to calculate the area under the curve between the two z-scores. The area under the curve between -1 and 1 is 0.6826 or 68.26%, which is the probability of x being between 27.42 and 34.08.
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How does this quote illustrate some of what Elie learned from Moishe the Beadle?
Moishe taught him the real answers lie in oneself. Elie sees the death of the boy as the death of the God within.
Moishe taught him that it was God's anger that resulted in the death of men. The boy represents God's wrath.
Moishe believed that God always had a plan. Hanging the boy must be part of his divine plan, which no man could understand.
Moishe taught that God required sacrifice. Elie believes the boy to be a sacrifice to God.
Answers
Answer:
The quote "Elie sees the death of the boy as the death of the God within" illustrates that Elie has learned from Moishe the Beadle that one's spirituality and relationship with God is a personal experience that resides within oneself. Moishe's teachings suggest that God is not necessarily an external force that determines the fate of individuals or the world, but rather a presence within oneself that must be nurtured and maintained. Elie's interpretation of the boy's death as the death of God within himself shows that he has internalized this lesson and is searching for meaning and understanding within his own experiences. This reflects Moishe's teachings that the "real answers lie in oneself," rather than in external sources of authority or dogma.
Step-by-step explanation:
Please help meee this is due Friday!!! A fully loaded and fueled spacecraft can weigh close to 5.1 million pounds. What is this weight converted to tons?
Answers
Answer:
A fully loaded and fueled spacecraft weighing 5.1 million pounds is equivalent to 2550 US tons
Step-by-step explanation:
Six whole numbers have
a median of 10
a mode of 11
a range of 4
Work out a possibie set of six numbers. Write the numbers in order.
Answers
Answer:Answer:
median=10, 6 numbers, so median is between 3rd and 4th
.. 9 11 . .
mode=11
.. 9 11 11 .
range=4
7 8 9 11 11 11
Step-by-step explanation:
Elsa has completed 56 deliveries so far this week. She needs to make 70 deliveries for the week. What percentage of her deliveries has Elsa completed?
Answers
Answer:
80 percent
Step-by-step explanation:
10.8 angle relationships & triangles
∠M and ∠N are supplementary and m∠M = 37°
. If m∠N = (13x)°
, what is the value of x and the m∠N?
Answers
Answer: x = 50, m∠N = 50°
Step-by-step explanation:
x = 50, m∠N = 50°
Since ∠M and ∠N are supplementary, the two angles add up to 180°. Therefore, m∠N = 180° - 37° = 143°. Because m∠N = 13x, we can solve for x by dividing both sides by 13, which gives x = 50. Therefore, m∠N = 13x = 13(50) = 50°.
Write down 2 digit odd numbers and 2 even numbers each
(1) 6 3 odd - and -
1 Even -and -
(2) 4 9 odd - and -
7 Even - and -
Answers
Answer:
(1) 63 odd - and - 28 even
(2) 49 odd - and - 76 even
Step-by-step explanation:
What is the greatest number of unit cubes that would fit in a rectangular prism that is 12 units tall, 5 units long, and 7 units wide?
A 420
B 84
C 60
D 7
Answers
Answer:
A or 420
Step-by-step explanation:
Remember Length x Width x Height. 12 * 5 is 60, then 60 * 7 is 420.
Nathan deposits $170 into a savings account that pays 2.25% simple interest annually. If Nathan makes no deposits or withdrawals, how much money will he have in his savings account after 2 years?
Answers
Answer:
SI=P*R*T/100
SI=270*2.25*2/100
SI=7.65
TOTAL AMOUNT=7.65+170=177.65
You are trying to develop a strategy for investing in two different stocks The anticipated annual return for a 1,000 investment in each stock under four different economic conditions has the probability distribution shown to the right Complete parts ( ) through ( ) below
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The first step in developing a strategy for investing in two different stocks is to perform research on the stocks and their respective industries.
What is stock?
Stock is a type of security that signifies ownership in a company and represents a claim on part of the company's assets and earnings. It is a share of ownership in a company. It is bought and sold on a stock exchange, and the price of the stock is determined by the supply and demand of the stock.
This can be done by looking at the company’s financials, track record, industry trends, and more. This research can help you to determine which stock is more likely to perform better in any given economic condition. By doing this, you can maximize your return while also minimizing your risk. This can be done by using a risk-adjusted return metric such as the Sharpe Ratio.
Finally, you must decide how to allocate funds across the two stocks. This will depend on your risk tolerance and investment goals. For example, if you are a conservative investor, you may want to allocate more funds to the stock with the highest expected return under all economic conditions. On the other hand, if you are a more aggressive investor, you may want to allocate more funds to the stock with the highest expected return under one or two of the economic conditions.
Overall, developing a strategy for investing in two different stocks takes into account several factors, including research, expected returns, and risk tolerance. By doing this, you can maximize your return while also minimizing your risk.
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The length of a rectangle is 7 inches more than its width. The area of the rectangle is equal to 2 inches more than 2 times the perimeter. Find the length and width of the rectangle.
Answers
The width of the rectangle is x = 6 inches and the length of the rectangle is 13 inches.
What is area of a rectangle?
The region contained inside the rectangle's perimeter is referred to as the area of the rectangle. In other terms, the area of a rectangle is the whole area that a rectangle encloses. Depending on the provided dimensions, this may be determined using the area of rectangle formula and a number of other techniques.
Let us suppose the width = x.
Then, length is given as:
l = x + 7
The area of the rectangle is:
A = lw
Substituting the values:
A = (x + 7)x
The perimeter of the rectangle is:
P = 2(l + w)
P = 2(x + 7 + x)
P = 2(2x + 7)
P = 4x + 14
Also, we have:
A = 2P
Substituting the values of area and perimeter:
4x + 14 = (x + 7)x
Simplifying the expression:
x^2 + 7x = 8x + 30
x^2 - x - 30 = 0
(x-6)(x+5) = 0
Since, width cannot be negative value we have:
x = 6.
l = 7 + 6 = 13 inches.
Hence, the width of the rectangle is x = 6 inches and the length of the rectangle is 13 inches.
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The height of a flare is given by the equation h(t)= -0.5t² +16t+22 where h is the height of the flare in metres and is the time the flare has been in the air in seconds. How long will the flare be in the air if it fizzles out at a height of 10 m above ground?
Answers
Answer:
the flare will be in the air for approximately 29.09 seconds before fizzling out at a height of 10 meters above ground.
Step-by-step explanation:
To find out how long the flare will be in the air, we need to find the time it takes for the flare to reach a height of 10 meters.
Setting h(t) to 10 and solving for t:
-0.5t² +16t+22 = 10
-0.5t² +16t+12 = 0
Using the quadratic formula:
t = (-b ± √(b² - 4ac)) / 2a
Where a = -0.5, b = 16, and c = 12:
t = (-16 ± √(16² - 4(-0.5)(12))) / 2(-0.5)
t = (-16 ± √(256 + 24)) / -1
t = (-16 ± √280) / -1
t ≈ -1.09 or t ≈ 29.09
Since time cannot be negative, we can ignore the negative root. Therefore, the flare will be in the air for approximately 29.09 seconds before fizzling out at a height of 10 meters above ground.
Rewrite the equation in the form (x−p)2=q 0=x^2-10x+7
Answers
Answer:
(x - 5)² = 18
Step-by-step explanation:
x² - 10x + 7 = 0 ( subtract 7 from both sides )
x² - 10x = - 7
using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = - 7 + 25
(x - 5)² = 18 ← in the form (x - p)² = q
PZ HURRY 15 POINTS
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
Answers
It can be estimated that approximately 3,042 people in attendance would prefer ketchup on a hot dog.
Thus, the correct answer is 3,042.
To determine how many people in attendance would prefer ketchup on a hot dog based on the data from the sample, we need to calculate the proportion of people who prefer ketchup and apply it to the total attendance.
The sample indicates that out of 150 people surveyed:
54 people prefer ketchup
36 people prefer relish
60 people prefer chili
To find the proportion of people who prefer ketchup, we divide the number of people who prefer ketchup by the total number of people surveyed:
Proportion of people who prefer ketchup = 54 / 150 = 0.36
Now, to estimate the number of people in attendance who would prefer ketchup on a hot dog, we multiply the proportion calculated above by the total attendance:
Estimated number of people who prefer ketchup = 0.36 [tex]\times[/tex] 8,450 = 3,042
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The box plot shows some information about the distribution of the amounts of money spent by some male students on their holidays.
i got part b correct but i cant figure out part a, please help
Answers
The interquartile range for the amounts of money spent by some male students on their holidays is £ 160.
How to find the interquartile range ?
To find the interquartile range (IQR) on a box plot, the IQR is the difference between the upper and lower quartiles. The upper quartile (Q3) is the median of the upper half of the data, and the lower quartile (Q1) is the median of the lower half of the data.
The interquartile range for the amount spent by male students on their holidays is :
= Q3 - Q 1
= 800 - 640
= £ 160
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Round 0.652 to the nearest tenth
Pls help
Answers
Answer:
0.7
Step-by-step explanation:
Answer: 0.7
Step-by-step explanation: The tenths place in decimals is the number directly to the right of the decimal. the 5 next to the six is greater than or equal to 5 meaning you can round up the 6 to a 7.
Solve for x in the triangle. Round your answer to the nearest tenth.
Answers
The value of x in the given triangle is obtained as 4.21. The solution has been obtained by using trigonometry.
What is trigonometry?
A branch of mathematics known as trigonometry is concerned with the study of right-angle triangles, including their sides, angles, and relationships.
We are given perpendicular as 7 and base as x.
We know that tan θ is the ratio of perpendicular to base.
Here, θ = 59°
So,
⇒ Tan 59° = [tex]\frac{7}{x}[/tex]
⇒ 1.66 = [tex]\frac{7}{x}[/tex]
⇒ 1.66x = 7
⇒ x = [tex]\frac{7}{1.66}[/tex]
⇒ x = 4.21
Hence, the value of x in the given triangle is obtained as 4.21.
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