Given,
The data of the length of the fishes is,
class interval frequency
2 - 5 10
6 - 9 12
10 - 13 6
14 - 17 7
Required
The mean length of the fishes.
Taking the class interval as,
class interval x frequency
1.5 - 5.5 3.5 10
5.5 - 9.5 7.5 12
9.5 - 13.5 11.5 6
13.5 - 17.5 15.5 7
Mean length of the fishes is,
\(\begin{gathered} Mean=\frac{3.5\times10+7.5\times12+11.5\times6+15.5\times7}{35} \\ =\frac{35+90+69+108.5}{35} \\ =\frac{302.5}{35} \\ =8.64 \end{gathered}\)Hence, the mean length of the fishes is 8.64 inches approximately.
There is a bag filled with 3 blue, 4 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of exactly 1 red?
Answer:
22.22%
Step-by-step explanation:
If it is exactly a red, it means that it is removed on the first or second attempt, but only once, in this case it does not matter if it is on the first or second attempt because the marble is returned to the bag.
So suppose that on the first attempt red is drawn, the probability would be:
4 / (3 + 4 + 5) = 4/12 = 1/3
Now, on the second attempt, it is not to draw a red, it must be green or blue, so it would be:
(5 + 3) / (3 + 4 + 5) = 8/12 = 2/3
The final probability then is:
1/3 * 2/3 = 0.2222
that is, the probability is 22.22%
which number can each term of the equation be muilitiply by to emlinate the fractions before solving6- 3/4 x + 1/3 =1/2x+ 523612
The answer is D
In this 45-46-90 triangle , I have been given the length of a leg . How do I find the length of the hypotenuse
Answer:
nothing actually Iteursitskysjtskydjtsitsitsitskgditdkgd elhsitdlhclufluclydlhcogogjdy
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Sum of the interior angles of any triangle equal 180° .
Thus ;
The angle which facing to the side 4 is 45°.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Hint :
In a right triangle, the side facing the 45° angle is √2 / 2 times the hypothenuse .
Thus ;
\( \frac{ \sqrt{2} }{2} x = 4 \\ \)
Multiply sides by 2
\(2 \times \frac{ \sqrt{2} }{2} x = 2 \times 4 \\ \)
\( \sqrt{2} x = 8 \\ \)
Divide sides by √2
\( \frac{ \sqrt{2}x }{ \sqrt{2} } = \frac{8}{ \sqrt{2} } \\ \)
\(x = \frac{4 \times 2}{ \sqrt{2} } \\ \)
\(x = \frac{4 \times \sqrt{2} \times \sqrt{2} }{ \sqrt{2} } \\ \)
\(x = 4 \sqrt{2} \\ \)
\(x = hypothenuse = 4 \sqrt{2} \)
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Earning an A in algebra this semester is an example of:
A. a long-term goal.
B. a short-term goal.
C. an instant goal.
D. a short-term commitment.
SUBMIT
Earning an A in algebra this semester is an example of (A) a long term goal.
One of the many branches of mathematics is algebra, which means "reunion of shattered pieces, setting of bones" in Arabic. Algebra, which is a common thread throughout practically all of mathematics, is essentially the study of mathematical symbols and the rules for using them in formulas.
Since all mathematical applications involve manipulating variables as though they were numbers, elementary algebra is a prerequisite. The study of algebraic structures like groups, rings, and fields is referred to as abstract algebra, primarily in educational contexts (the term is no more in common use outside educational context). Modern presentations of geometry include linear algebra, which deals with linear equations and linear translations, and has numerous real-world applications (in weather forecasting, for example).Since there are a wide variety of application for Algebra in our day-to-day lives and in the modern sciences, so a good score in Algebra will not only get a good score for the results but also help learn valuable information for the future. Hence it is a long-term goal.
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please help! 50 points!
Answer:
a) forming a bell
b) 5
c) 4.7
d) mean
is the correct answer
pls mark me as brainliest
I dont get this question equation
y=0.5 (6) - 4
I know that 0.5 is equivalent to 1/2 but I just don’t get this question
Answer
\(\pink\sf{y=-1}\)
Step-by-step explanation
I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).
We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:
\(\sf{y=3-4}\)
And now we just simplify the last part:
\(\sf{y=-1}\)
∴ answer: y = -1
Given the inscribed polygon, find the value of both x .and y.
X =
y =
please help!!!
∆ABC goes through a sequence of transformations to form ∆A′B′C′. The sequence of transformations involved is a
The sequence of transformations involved is B) translation by 2 units to the right and followed by a B) reflection across the y-axis.
How to carry out transformations?
The sequence of transformations involved:
From all the information given, it is discovered that the sequence of transformations involved in transforming ABC to A'B'C' is translation and reflection.
ABC is translated by 2 units to the right, it is shown in the graphThereafter the next transformation that followed is a reflection across the y-axisThere is no rotation.Thus, from the graph it is clear that the sequence of transformations involved is B) translation by 2 units to the right and followed by a B) reflection across the y-axis.
Complete question is;
ABC goes through a sequence of transformations to form A’B’C’. The sequence of transformations involved is a:
A) rotation 180 degrees counterclockwise about the origin
B) translation 2 units to the right
C) translation 4 units to the left
D) reflection across the line y=x
followed by a:
A) reflection across the x-axis
B) reflection across the y-axis
C) rotation 90 degrees clockwise about the origin
D) translation 4 units to the right
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1. what is the difference when (-6) is subtracted from (-3)?
Please give solutions
Answer:
(-3) - (-6) = -3+6 = 6-3 = 3
Step-by-step explanation:
Step-by-step explanation:
= -6 - (-3)
= -6 + 3
= -3
-6 change into -3
A jury pool consists of 27 people, 12 men and 15 women. Compute the probability that a randomly selected jury of 12 people is all male.
I really need this in the form of a decimal if you can!
Answer:The probability of selecting 12 males is 7/ 1337220
Step-by-step explanation:
I searched it up and saw an answer not my work tho so here there https://brainly.com/question/17075596 for more information
Answer: Approximately 0.00000005752462
There are seven "0"s between the decimal point and the "5".
Round that value however you need to.
If you need the exact answer as a fraction, then it would be \(\frac{1}{17,383,860}\) and you may need to delete the commas if necessary.
=========================================================
Explanation:
We use the nCr combination formula to determine how many ways there are to form a jury if we had n = 27 people and r = 12 slots.
\(n C r = \frac{n!}{r!(n-r)!}\\\\27 C 12 = \frac{27!}{12!*(27-12)!}\\\\27 C 12 = \frac{27!}{12!*15!}\\\\27 C 12 = \frac{27*26*25*24*23*22*21*20*19*18*17*16*15!}{12!*15!}\\\\ 27 C 12 = \frac{27*26*25*24*23*22*21*20*19*18*17*16}{12!}\\\\ 27 C 12 = \frac{27*26*25*24*23*22*21*20*19*18*17*16}{12*11*10*9*8*7*6*5*4*3*2*1}\\\\27 C 12 = \frac{8,326,896,754,176,000}{479,001,600}\\\\ 27 C 12 = 17,383,860\\\\\)
There are a little over 17 million ways to form the jury. This is where order doesn't matter because no juror outranks any other (and there aren't any special positions).
Since there are 12 men and 12 spots on the jury, there's only one way to have a jury of all men.
The probability of getting a jury of all men is roughly
\(\frac{1}{17,383,860} \approx 0.00000005752462\)
which is an incredibly small probability. There are seven "0"s between the decimal point and the "5"
What is the area of the obtuse triangle below?
I 12
1
1
21
O A. 39 sq. units
O B. 21 sq. units
O c. 126 sq.
units
O D. 252 sq. units
Answer:
C 126 sq. units
Step-by-step explanation:
A = 1/2(b)(h)
A = 1/2(21)(12)
A = 1/2 × 252
A = 126 sq. units
Yesterday a car rental agency rented 237 vehicles, of which 51 were sport utility vehicles.
What is the experimental probability that the first vehicle rented today will be a sport utility
vehicle?
Write your answer as a fraction or whole number.
P(sport utility vehicle)
Submit
Next up
Dong for now? Try these next:
Answer:
21.5%
Step-by-step explanation:
51 divided by 237 to get percentage (237*.215% = 51)
Which of the following statements with respect to political risk is true?
Oa. Political risk premiums are added to the required rate of return to adjust for political risks.
b. Companies cannot take any steps to reduce the potential from loss from expropriation since a foreign
government is involved.
Oc. The risk of expropriation of U.S. assets abroad is high even in traditionally friendly and stable countries.
Od. A company can reduce political risk by structuring operations so that the subsidiary has value only as a part of the
integrated corporate system.
Kathryn invests $8,327 in a savings account with a
fixed annual interest rate compounded continuously. After
10 years, the balance reaches $18,532.08. What is the
interest rate of the account?
Answer:
Below
Step-by-step explanation:
The equation to use for CONTINUOUS compounding is :
FV = PV e^(it)
18532.08 = 8327 * e^( i*10) where i is the interest in decimal form
18532.08/8327 = e^(10i)
2.225541 = e^(10i) now take natural log (ln) of both sides to get
.8000 = 10i
i = .08 or 8% interest
Consider the transformation shown. 2 triangles are shown. The first is labeled pre-image and the second is labeled image. Both triangles have congruent angle measures. The pre-image has side lengths of 6, 10, and 8. The image has side lengths of 3, 5, and 4. Use the drop-down menus to complete the sentence. The transformation is because the
Answer:
Dilation
Step-by-step explanation:
Given: The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4 such that these two right triangles have identical angle measures but different side lengths.
To choose: the correct option
Dilation refers to a transformation when a figure is reduced or enlarged.
Each side of the large triangle is halved to get the small triangle.
So, Dilation transformation maps the large triangle onto the small triangle
The transformation is because the Dilation.
What is transformation?The geometric transformation is a bijection of a set that has a geometric structure by itself or another set.
Given that the first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4 such that these two right triangles have identical angle measures but different side lengths.
So, we need to identify the type of transformation.
We see that the measures of the sides are decreased by a scale factor of 2.
So we can say there is a dilation,
Dilation refers to a transformation when a figure is reduced or enlarged.
Each side of the large triangle is halved to get the small triangle.
So, Dilation transformation maps the large triangle onto the small triangle.
Hence the correct option is Dilation.
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Write an explicit formula for the sequence (an) - (7,2,-3,-8,-13...). Then find a14
In this case the formula that correspond to the given sequence is:
\(a_n=-5n+12\)and
\(a_{14=}-5(14)+12\)\(a_{14=}-58\)I NEED HELP PLEASE
In the school yearbook, it costs $10 per square inch for advertisements. How many dollars does a full-page ad cost if the page measures 8 inches by 11 inches?
$10 = 1 square inch
First, we need to figure out how many square inches the entire page is.
8 x 11 = 88
The entire page is 88 square inches and each square inch costs $10.
88 x 10 = 880
Answer: $880
Hope this helps
Problem-work-interest-total
Rita needs to take out a loan for a new
car. Her loan is for $25,000. The interest
rate on the loan is 6%, and is
compounded yearly. She plans to pay off
the loan in 5 years. What will she owe
after she factors in interest?
The amount that she owes after she factors in interest will be $33,455.64.
What is compound interest?A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
Rita necessities to apply for a line of credit for another vehicle. Her advance is $25,000. The financing cost on the advance is 6% and is accumulated yearly. She intends to take care of the advance in 5 years.
Then the amount is given as,
A = $25,000 x (1 + 0.06)⁵
A = $25,000 x (1.06)⁵
A = $25,000 x 1.3382
A = $33,455.64
The amount that she owes after she factors in interest will be $33,455.64.
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foreign direct investment helps improve the economic situation of a recipient country by increasing —- opportunities in the country that the company invests in.
Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.
When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.
Increased employment opportunities result in more individuals having access to income and improved standards of living.
Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.
Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.
Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.
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At the end of a snow storm, Mia saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. Let SS represent the depth of snow on Mia's lawn, in inches, tt hours after the snow stopped falling. The table below has select values showing the linear relationship between tt and S.S. Determine the rate at which the snow is melting per hour.
Answer:
the snow per hour is
Step-by-step explanation:
um wait what chart theres no info to awnser this sorry you may delete this awnser :( but im letting ya know
Answer:
1.5 is the answer.
Step-by-step explanation:
Use
x
for your variable
The sum of a number increased by nine and the number decreased by two.
The answer is \((x+9)+(x-2)\) .
A variable is a symbol used to represent a number in an expression or equation. The value of this number is subject to change. An algebraic expression in mathematics is an expression that consists of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.We have given two statements one is " number increased by nine "
Let the number be x .
Mathematically , first statement is represented by
x + 9
Second statement is " number decreased by two "
Mathematically , second statement is represented by
x - 2
According to the question
Sum of first and second statement = \((x+9)+(x-2)\)
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The highest location in a certain country is 14,864 feet above sea level. The lowest point in the same country is 141 feet below sea level.
Find the difference of the two elevations.
A city is 7,642 feet above sea level. Is this elevation closer to the highest point or the lowest point?
Answer:
15,003 and Highest Point
Step-by-step explanation:
The highest point is at a positive 14,864 feet so we will use the number 14, 864.
The lowest is at a negative (below sea level) 141, so we will use the number -141.
The difference between them means that you subtract.
14,862-(-141)= x
Note that there is a double negative so it is positive.
14862+141=15,003 feet difference between them.
A city at 7642 above sea level is:
7642-14862=7222 feet away. The city is 7222 feet away from the highest point.
7642--141=7783 feet away. The city is 7783 feet away from the lowest point.
7222 is less than 7783, so the city is closest to the highest point.
Answer:
The difference is 15,005 and for the second part its closer to the highest point
Hope this helps!
Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
X
Y
If L=4, Y=30 and Z=14. Solve for X. (round to 2 decimal places)
L
N
Answer:
Y+Z/Z = X/L
X= (44/14)4 = 12.57(nearest 2 decimal
A package of 88 batteries costs $ 4 . 724.72 .
What is the cost per battery?
We get that the cost of the battery is $ 8.24 per battery.
We are given that the cost of 88 batteries = $ 724.72
We need to find the cost of one battery.
We will do this by diving the cost of 88 batteries by 88.
Using division, we get that:
cost of one battery = $ 724.72 ÷ 88
Simplifying the expression, we get that:
cost of one battery = $ 8.24 per battery.
Therefore, we get that the cost of the battery is $ 8.24 per battery.
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fraction bears the same ratio to 1/27 as 3/7 does to 5/9.then the fraction is?
The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.
To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.
Let's represent the unknown fraction as x. The ratio can be configured as follows:
x / (1/27) = (3/7) / (5/9)
To solve this proportion, we can cross-multiply:
(x * 5/9) = (3/7) * (1/27)
Simplifying the right side:
(x * 5/9) = 3/189
To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:
(x * 5/9) * (9/5) = (3/189) * (9/5)
Simplifying further:
x = 27/35
Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.
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what value of x makes the following equation true?
Answer:
x = 9
Step-by-step explanation:
9 x 2 = 18
2x = 18
18 - 9 = 9
x = 9
Find the value of x. Round to the nearest tenth.
Answer:
x = 8.5
Step-by-step explanation:
\(\frac{sin28^{o} }{x} =\frac{sin83^{o} }{18}\)
\(x=\frac{18sin28^{o} }{sin83^{o} } =8.513\)
Rounded x = 8.5
Hope this helps
HELP ASAP ROCKY!!! will get branliest.
Answer:
x = -7
Step-by-step explanation:
4 ( 2x+14) =0
Divide by 4
2x+14 = 0
Subtract 14 from each side
2x = -14
Divide by 2
2x/2 = -14/2
x = -7
Answer:
x = -7
Step-by-step explanation:
Apply the distributed property by multiplying 2x by 4 and 14 by 4, and then adding them together, so it now looks like this: 8x + 56 = 0Subtract 56 from each side of the equation, so it now looks like this: 8x = -56Divide each side by 8 to cancel out the 8 next to x. It should now look like this: x = -7Therefore, x is equals -7.
For each question find the missing angle and give a reason for your answer.
(Don't forget to show your working!)
1.
2.
3.
135
50"
a
72
154
c
4.
5.
6.
135
115
120
82
*
%
e
of
7.
8.
9.
25
30°
с
83'd
d
54"
10.
11.
12.
܀
cº
bº
140
76
87
135
130 /
d
13.
14.
15.
52
e
X
74
136
97
e
86
37
Answer:
ormal blood pressure for most adults is defined as a systolic pressure of less than 120 and a diastolic pressure of less than 80. Elevated blood pressure is defined as a systolic pressure between 120 and 129 with a diastolic pressure of less than 80.
Step-by-step explanation: