Answer:
(6290.678 ; 7790.742)
Step-by-step explanation:
Given the data :
5640, 5090, 6590, 6380, 7165, 8440, 9980
The sample mean, xbar = Σx / n = 49285 / 7 = 7040.71
The 90% confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * σ/√n
Since the σ is known, we use the z- distribution
Zcritical at 90% confidence = 1.64
Hence,
Margin of Error = 1.64 * 1210/√7
Margin of Error = 750.032
90% confidence interval is :
7040.71 ± 750.032
Lower boundary = 7040.71 - 750.032 = 6290.678
Upper boundary = 7040.71 + 750.032 = 7790.742
(6290.678 ; 7790.742)
Determine the value of x
Answer:
the answer will be Root 2
Step-by-step explanation:
x^2 = 1^2 + 1^2
We take the unmentioned side as 1 because it is an isosceles triangle and thus 2 of the sides will have the same measure
x^2 = 1 + 1
x^2 = 2
taking square root on both the sides
x = root of 2
The value of x is [tex]\sqrt 2[/tex] by using the concept of isosceles right-angled triangle and applying the Pythagoras theorem.
Given that in a right-angled triangle, base is equal to1 and hypotenuse is equal to x.
To find the value of x by using the concept of isosceles right-angled triangle and applying the Pythagoras theorem, follow steps:
Step 1: Given right-angled triangle whose two angles are of equal measures that is equal to [tex]45^{\circ}[/tex]. That implies the triangle is an isosceles triangle.
That implies, perpendicular = base = 1 .
Step 2: Applying the concept of Pythagoras theorem:
Pythagoras theorem states that (perpendicular[tex]{)}^2[/tex] +(base[tex]{)}^2[/tex] = (hypotenuse[tex]{)}^2[/tex]
Plugging the given and data from step 1 gives:
[tex](1)^{2}+1^2=x^{2}[/tex]
On substituting the square of 1 equal to 1 (gives):
[tex]x^{2} = 1+1[/tex]
On adding gives:
[tex]x^{2} =2[/tex]
Taking square root gives:
[tex]x=\sqrt{2}[/tex]
Therefore, the value of x is [tex]\sqrt 2[/tex] by using the concept of isosceles right-angled triangle and applying the Pythagoras theorem.
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Graph the image of square CDEF after a reflection across the x-axis
Answer:
If you have a general point (x, y), and you reflect it across the x-axis, the coordinates of the new point will be:
(x,-y)
So we only change the sign of the y-component.
Now, if we do a reflection across the x-axis of a whole figure, then we apply the reflection to all the points that make the figure.
Then, we could just apply the reflection to the vertices of the square, then graph the new vertices, and then connect them, that is equivalent to graph the image of the square after the reflection.
The original vertices are:
C = (-3, 7)
D = (0, 7)
E = (0, 10)
F = (-3, 10)
Now we apply the reflection, remember that this only changes the sign of the y-component, then the new vertices are:
C' = (-3, -7)
D' = (0, -7)
E' = (0, - 10)
F' = (0, - 10)
Now we need to graph these points and connect them to get the reflected figure, the image can be seen below.
Mr. Osborne needs two students to help him with a demonstration. He decides to draw two names out of a bag to make things fair. There are 9 girls and 12 boys in his class. What is the probability that he draws the names of two boys?
Plz help me with is question, ill try to give brainliest
Answer:
[tex]\text{B. } (8,6)[/tex]
Step-by-step explanation:
In slope-intercept form [tex]y=mx+b[/tex]:
[tex]m[/tex] represents slope[tex]b[/tex] represents the y-intercept [tex](x,y)[/tex] represent the coordinates of any point the line passes throughIn slope-intercept form, the equation for the table is given by [tex]y=x-2[/tex], and the equation for the second line is given by [tex]y=\frac{1}{4}x+4[/tex].
To find the point of intersection, set those two equations equal to each other and solve:
[tex]x-2=\frac{1}{4}x+4,\\x-2=0.25x+4,\\0.75x=6,\\x=8[/tex]
[tex]y=x-2,\\y=8-2,\\y=6[/tex]
Therefore, these two lines intersect [tex]\boxed{\text{B. (8,6)}}[/tex]
Pablo randomly picks three marbles from a bag of nine marbles (four red ones, three green ones, and two yellow ones).a). How many outcomes are there in the sample space outcomesb). How many outcomes in the event that none of the marbles he picks are red? outcomes
Answer:
not sure
Step-by-step explanation:
PLS HELP!! I NEED TO FIND THE SURFACE AREA OF THIS CYLINDER!!!!!
Answer:
923.63
Step-by-step explanation:
the formula for the surface area of a cylinder is 2πrh + 2πr^2 ( i just looked it up lol)
Express in the form 1: n.
Give n as a decimal.
16 : 12
Answer: n will be 4
Step-by-step explanation:
Easy question 34.8 + 6.879 =?
Answer: Easy Answer: 41.679
Step-by-step explanation:
in a system of equations why is the intersection the solution
9514 1404 393
Answer:
It satisfies both equations.
Step-by-step explanation:
The points on the graph of an equation are the values of the variables that satisfy the equation (make it true).
In a system of equations, you're generally looking for values of the variables that satisfy all of the equations in the system. That is, the solution will be a point on the graph of every equation in the system.
For a point to be on more than one graph, it must lie at a point of intersection of the graphs. If all of the graphs of a system go through the point of intersection, that point satisfies all of the equations, so is a solution of the system of equations.
Pythagorean Theorem
A rectangular park is 8 miles long and 6 miles wide. How
long is a pedestrian route that runs diagonally across the
park?
In this discussion, you will need to provide the solution
to the problem explaining the intermediate steps you
used in the process.
Answer:
10 miles
Step-by-step explanation:
The Pythagorean Theorem states a^2+b^2=c^2
So, (8^2)+(6^2)=c^2
64+36=100
Square root of 100=10
Margo borrows $1600, agreeing to pay it back with 3% annual interest after 11 months. How much interest will she pay?
Round your answer to the nearest cent, if necessary.
Answer:
Margo will pay $ 44 in interest.
Step-by-step explanation:
Given that Margo borrows $ 1600, agreeing to pay it back with 3% annual interest after 11 months, to determine how much interest will she pay, the following calculation must be performed:
3/12 x 11 = 0.25 x 11 = 2.75
1600 x 1.0275 = X
1644 = X
1644 - 1600 = 44
Therefore, Margo will pay $ 44 in interest.
3. Find the sector area of the circle. Use 3.14 for the value of Round your answer to the nearest tenth.
11 ft
150°
Answer:
a = 158.3 units²
Step-by-step explanation:
a = (∅/360) * πr²
using 11 ft as the radius
a = (150/360) * 3.14 * 11²
a = 158.3 units²
Fill in the missing number to make these fractions equivalent 15/25 = ?/5
Answer:
3
Step-by-step explanation:
25 divided by 5 is 5
therefor 15 divided by 5 is 3
15/25 = 3/5
Answer:
3
Step-by-step explanation:
[tex]\frac{15}{25} =\frac{?\\}{5}[/tex] 25 divided by ? = 5? The number 5 so divide 15 as well
15 ÷ 5 = 3
[tex]\frac{15}{25} =\frac{3}{5}[/tex]
Hence, 3 is the answer
Please mark me as brainliest if you can or give me a thanks
3. Basket A had 7 times as many plums as basket B at first. Zoe put 58 more plums in each
basket. Now Basket A has three times as many plums as basket B. How many more
plums are there in basket A than basket B now.
Answer:
87 many more plums are there in Basket A than Basket B
Step-by-step explanation:
Before
N = 58/2
Basket A = N x 7 + 58
Basket B = N x 7
Now
Basket A = 29 x 7 + 58
= 261/3
= 87
Basket B = 29 x 7
= 203 + 58
= 261/3
= 87
Basket A and B has a difference of 87 Plums
:) Thank you!!
Express tan J as a fraction in simplest form
Answer:
Tan J = 3/4
Step-by-step explanation:
Recall, SOH CAH TOA
TOA means:
Tan J = Opp/Adj
Reference angle = <J
Opposite = 15
Adjacent = 20
Plug in the vakues
Tan J = 15/20
Simplify
Tan J = 3/4
What is the equation of the following line? Be sure to scroll down first to see
all answer options.
(-3, 1)
(0,0)
Answer:
y=-3x
Step-by-step explanation:
The y intercept is zero because it goes through (0,0)
The slope is -3 because the line goes through -3 at 1, so it goes down 3 on the y axis for every 1 right on the x axis.
Find the volume of the cubes or rectangular prisms in cubic centimeters.
Answer:1st cube 2nd box 2nd cube 3rd box 4th cube 1st box and 1st cube 1st box
Step-by-step explanation:
The asked volumes are 36/125 cm³, 6/125 cm³, 1/125 cm³ and 8/125 cm³
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Given are dimensions of cuboid and cubes, we are asked to find their volumes.
We know that, volume of cube = side³
Volume of cuboid = length · width · height
1) Dimensions of the cuboid = 3/5, 4/5, 3/5
Volume = 3/5×3/5×4/5 = 36/125 cm³
2) Dimensions of the cuboid = 1/5, 2/5, 3/5
Volume = 1/5×2/5×3/5 = 6/125 cm³
3) Side of the cube = 1/5 cm
Volume = (1/5)³ = 1/125 cm³
4) Side of the cube = 2/5 cm
Volume = (2/5)³ = 8/125 cm³
Hence, the asked volumes are 36/125 cm³, 6/125 cm³, 1/125 cm³ and 8/125 cm³
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There are 36 male and 24 female students in a cultural competition
a ) Write the percentage of students in the competition
b ) Write the percentage of female students in the competition
Answer:
a. 24/60 = 40%
b. 24/60 = 40%
Explanation:
it seems both the questiona have the same answer. how many students in the competition is what you are looking for, the total of people in the competition is 60(36+24). there are 24 students, so you divide 24 by 60 and you will get 40% for both questions.
It represents the set of traits, competencies and values an individual would like to possess.
a. Perceived Self
b. The Ideal Self
c. Self-Identities
d. Self Esteem
Answer:
The correct answer is - d. Self Esteem
Explanation:
Self-esteem is how we value and perceive ourselves. It based on the believes and opinions we make for ourselves. It represents various traits and characteristics such as self-confidence, identity, feeling of belonging, and competency.
Values are the principle or opinions we make to follow and values provide a sense of identity and uniqunessgive you a clearer sense of self, meaning, more energy, focus, and self-esteem.
The option that represents the set of traits, competencies and values an individual would like to possess is;
Option B; The Ideal Self
Let us access all the given options;
Option A; Perceived self is simply defined as how an individual sees himself or herself. Option B; The Ideal Self is defined as how an individual would like himself or herself to be. This means such an individual will wish he or she possessed certain traits or values.Option C; Self Identities are simply how individuals identify and define themselves. For example an athlete, a Pastor, a doctor, a lecturer e.t.c.Option D; Self esteem is simply defined as the worth or value individuals place on themselvesLooking at the definitions above, in conclusion we can see that the only one that fits the description given in the question is The Ideal Self.
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Determine whether the function is linear or quadratic.
y = (x + 1)(8x - 8) - 8x2
a) Linear
b) Quadratic
Answer:
it's a linear
since when you expand the equation (x+1)(8x-8) the x is equal to zero which is left for y to be the subject
8x²-24= y
23 points help plzzz
Which number is an integer?
O -3/4
O 1/5
O 2
O 4 2/3
The answer is 2 ez.
Answer:
2
Step-by-step explanation:
hope i helped :))
What is the thirteenth number in the Fibonacci sequence
Answer:
The 13th number in the Fibonacci sequence is 144.
Step-by-step explanation:
The sequence from the first to the 13th number is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144.
[tex]\huge\boxed{\sf 144}[/tex]
A series of integers known as the Fibonacci sequence begins with a zero, is followed by a one, another one, and then a series of increasing numbers. Each number in the series equals the sum of the two numbers before it. Every succeeding pair of Fibonacci numbers has a quotient resembling the golden ratio.
[tex]\sf 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, \boxed{144}, 233, 377,...[/tex]
if the equation 2x^2+ bx+ 5=0 has no real solutions, which of the following must be true A. b^2 < 10 B. b^2> 10 C. b^240
Answer:
C. b²< 40
Step-by-step explanation:
2x²+ bx + 5=0 has no real solutions
=> D< 0
b² < 4ac
b²< 4(2)(5)
b²< 40
Select the correct answer.
The volume of one of the Great Lakes is 3.5 × 103 cubic kilometers. If there are 6.3 × 107 fish in the lake, what is the average number of fish per cubic kilometer?
A.
2.205 × 1011
B.
1.8 × 104
C.
1.8 × 1010
D.
2.205 × 104
y= 2x + 1
y = -3x +6
Solve the solution to this system of linear equations
(Please help)
Answer:
yeahh, i'm proud of you
Step-by-step explanation:
Which linear function represents the line given by the point-slope equation y - 8 = % (x - 4)?
?? Pls help :0
Answer:
option 2
Step-by-step explanation:
[tex]y - 8 = \frac{1}{2} (x - 4)\\\\y = \frac{1}{2}x - 2 + 8\\\\y = \frac{1}{2}x + 6\\\[/tex]
Kenny recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-x-4 = 0 and calculate its properties
hope this helps!
Why is this graph proportional?
Answer:
The graph represents a linear function that passes through the origin.
Step-by-step explanation:
Proportional functions can be represented by [tex]y=kx[/tex], where [tex]k[/tex] is some constant. They form a straight line that always pass through the origin (0,0). We can see all these characteristics in the graph, thus the graph is proportional.
Ray invested $300 in Stock A
and $750 in Stock B. Since then,
the value of Stock A has increased
by 15% each year and the value of
Stock B has decreased by 12% each
year. After 4 years, which statement
is true regarding the value of
his investments?
A) Stock A is worth $55.15 more than Stock B.
(they won a radio contest)
B) Stock A is worth $74.93 more than Stock B.
(they are best friends)
C) Stock B is worth $55.15 more than Stock A.
(they wanted to get attention)
D) Stock B is worth $74.93 more than Stock A.
(they were training for a marathon)
CADRUG
Answer:
i think its b
Step-by-step explanation:
ASAP PLSSSS HELP!!!!!!!!!!!!!!
Find the length of the missing side in the right triangle shown below.
A)144
B)313
C)169
D)5
E)None of these answers are correct
Answer:
the answer is d or e i think its d but its one of the 2
Step-by-step explanation:
Solve for t, 0 < t < 27.
21 sin(t)cos(t) = 12 sin(t)
Answer:i
Step-by-step explanation:i