Answer:
The 90% confidence interval for the true mean daily wage of all union workers in the industry is ($118.6, $125.4). The lower limit is $118.6 and the upper limit is $125.4.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.645\frac{20}{\sqrt{90}} = 3.4[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 122 - 3.4 = $118.6
The upper end of the interval is the sample mean added to M. So it is 122 + 3.4 = $125.4
The 90% confidence interval for the true mean daily wage of all union workers in the industry is ($118.6, $125.4). The lower limit is $118.6 and the upper limit is $125.4.
What is an equation of the line that passes through the points (-6, -2) and (-3, -3)?
Answer:
[tex]y = - \frac{1}{3} x - 4[/tex]
Step-by-step explanation:
The equation of a kind can be written in the slope intercept form, y= mx +c, where m is the gradient and c is the y-intercept.
[tex]\boxed{gradient = \frac{y1 - y2}{x1- x2} }[/tex]
[tex]m = \frac{ - 2 - ( - 3)}{ - 6 - ( - 3)} [/tex]
[tex]m = \frac{ - 2 + 3}{ - 6 + 3}[/tex]
[tex]m = \frac{ 1}{ - 3} [/tex]
Substitute the value of m into the equation:
[tex]y = - \frac{1}{3} x + c[/tex]
To find the value of c, substitute a pair of coordinates.
When x= -3, y= -3,
[tex] - 3 = - \frac{1}{3} ( - 3) + c[/tex]
[tex] - 3 = 1 + c[/tex]
c= -3 -1
c= -4
∴ The equation of the line is [tex]y = - \frac{1}{3} x -4[/tex].
if x=7, which inequality is true?
Answer:
B
Step-by-step explanation:
Substitute x =7 in each inequality
In A.
[tex] - 4 + 3 \times 7 < 17 \\ - 4 + 21 < 17 \\ \\ - 17 < 17[/tex]
Which is not true
B.
[tex] - 7 - 2 \times 7 > 1 \\ - 7 - 14 > 1 \\ - 21 > 1[/tex]
Which is not true.
C.
[tex]5 - 7 \leqslant 9 \\ - 2 \leqslant 9[/tex]
Which is true
D.
[tex]1 - 4 \times 7 \geqslant 25 \\ 1 - 28 \geqslant 25 \\ - 27 \geqslant 25 \\ [/tex]
Which is not true
so option C is the right answer
rectangular cards 2 inches by 3 Inches are cut from a rectangular sheet 2 ft by 3 ft what is the greatest number of cards that can be cut from the sheer?
Answer:
144
Step-by-step explanation:
3ft = 36 inches card 2x3 = square 6 inches
2ft = 24 inches
36X24 = 864 square inches
864/6= 144
The greatest number of cards that can be cut from the sheer if rectangular cards 2 inches by 3 Inches are cut from a rectangular sheet 2 ft by 3 ft is 144.
What is Rectangle?An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel, opposite sides. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's longer side is its length, while its shorter side is its breadth.
Given:
The dimension of rectangular card = 2 inches × 3 inches,
The dimension of rectangular sheet = 2 ft × 3 ft,
We know that 1 foot = 12 inches,
The dimension of a rectangular sheet = 24 inches × 36 inches
Area of sheet = 24 × 36 = 864 inches²,
Area of card = 2 × 3 = 6 inches²,
The no of card = Area of sheet / Area of card
The no of card = 864 / 6 = 144
Therefore, the greatest number of cards that can be cut from the sheer if rectangular cards 2 inches by 3 Inches are cut from a rectangular sheet 2 ft by 3 ft is 144.
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Please help will mark Brainly (please answer all the drop down questions)
Step-by-step explanation:
system 1 :
3x + 2y = 7
4x + 7y = 17
system 2 :
12x + 2y = 28
4x + 7y = 17
the first equation in the second system is not a multiple of either equation in the first system, and the second equation in the second system is the same as the second equation in the first system.
thus, the systems are not equivalent.
"12x" gives us the idea what the factor would have to be (4 or 3), if the second equation of the second system would be a multiple of any of the equations in the first system.
as we would have to multiply 3x by 4 to get 12x, and 4x by 3 to get 12x.
but then 2y×4 = 8y, or 2y×3 = 6y, and that is not the same as 2y (part of the first equation of the second system).
that is why this first equation of the second system is not a multiple of either equation in the first system.
and that makes it impossible for both systems to be equivalent. that the second equations are identical, is then not relevant anymore.
A variable needs to be eliminated to solve the system of equations below. Choose the
correct first step.
10x – 2y = -36
7x – 2y = -30
-Add to eliminate y.
-Subtract to eliminate x.
-Subtract to eliminate y.
-Add to eliminate x.
Answer:
x=-2
y= 8
Step-by-step explanation:
Given data
10x – 2y = -36-----------1
7x – 2y = -30--------------2
-Subtract to eliminate y
3x-0= -6
3x= -6
x= -6/3
x= -2
Put x= -2 in
7(-2)– 2y = -30
-14-2y=-30
-14+30=2y
16=2y
y= 16/2
y= 8
10 POINTS!
What is the constant of proportionality in this proportional relationship?
x 2 4 6 8
y 5/6 1 2/3 2 1/2 3 1/3
A. 12
B. 5
C. 12/5
D. 5/12
Answer:
d
Step-by-step explanation:
The constant of proportionality in a proportional relationship is the number that relates the two variables, x and y, in the equation y = kx.We can see that the relationship between x and y is in the form of y = kx. We can find the constant of proportionality (k) by dividing the y-value by the corresponding x-value.For example:
x = 2; y = 5/6
k = y/x = (5/6) / 2 = 5/12The constant of proportionality is 5/12 for the given proportional relationship,
y = kx where k = 5/12Note that it is important to understand that the relationship is a proportion because in this case, the k(constant) is the same for every point, if we calculate each (y/x) point it will be 5/12
5000e^72
and
5000e^0.72
Find the product of 3y^3(6y^2-9y+6)
Answer: Simplified expression- [tex]18y^{5} - 27y^{4} + 18y^{3}[/tex]
Step-by-step explanation: You get the product by simplifying it.
I tried my best, I hope this it what you were looking for:)
In a standard 52 card deck what is the probability of randomly drawing an ace or club?
Which expression is equal to:
³ × ³ × ³ × ³ × ³ × ³ × ² × ³ ×
3
X
4
3
4
3 x 3 x 3 x 3 x 3 x 3 x 2 x 3 x 3 x 434 = 5,694,948
The dimensions of a triangular prism are shown in the diagram.
5 cm
16 cm
4 cm
6 cm
What is the volume of the triangular prism in cubic centimeters?
The answer is 158.75 cubic centimeters! :))
a particular dress requires 3 1/4 yards of fabric for manufacturing. if the matching jacket requires 1/6 yards less fabric, how much fabric is needed for both pieces?
Answer: The matching jacket requires 1/6 yards less fabric than the dress, which is 3 1/4 - 1/6 = 3 1/4 - 2/12 = 3 1/4 - 1/6 = 3 1/4 - 1/6 = 3 1/4 - 1/6 = 3 3/12 yards of fabric.
To add these two amounts of fabric together, you need to add the yards and the inches separately.
For the dress: 3 1/4 yards = 3 + 1/4 = 3 + 0.25 = 3.25
For the jacket: 3 3/12 yards = 3 + 3/12 = 3 + 0.25 = 3.25
So, for both pieces, the required fabric is 3.25 + 3.25 = 6.5 yards
Step-by-step explanation:
Here is a list of numbers:
14, 4, 4, 16, 14, 3, 13 ,11 ,1 ,8
State the median.
Answer:
the Median is 9.5
The crew on a fishing boat caught four fish that weighed a total of 1,032 pounds. The tarpon weighed twice as much as the amberjack and the white marlin weighed twice as much as the tarpon. The weight of the tuna was 5 times the weight of the amberjack.
Using equations, the weights of the four fish are as follows:
Amberjack = 86 poundsTarpon = 172 poundsWhite Marlin = 344 poundsTuna = 430 pounds.What are equations?Equations are mathematical statements showing the equality of two mathematical expressions.
Using the equation sign (=), equations depict that expressions are equal or equivalent.
The total weight of the four fish = 1,032
Let the weight of the Amberjack = x
Weight of the Tarpon = 2x
Weight of the White Marlin = 4x (2 x 2x)
Weight of the Tuna = 5x
x + 2x + 4x + 5x = 1,032
12x = 1,032
x = 86
Weights:Amberjack = 86 pounds (x)
Tarpon = 172 pounds (2x)
White Marlin = 344 pounds (4x)
Tuna = 430 pounds (5x)
Total weight = 1,032 pounds (86 + 172 + 344 + 430)
Thus, we solved the weight of each fish using equations.
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Question Completion:How much did each fish weigh?
This graph represents a function. The linear function on a coordinate plane passes through (2, 9), and (minus 5, minus 5) which intercepts the axis at (0, 5), and (minus 2.5, 0). Which table contains points from the inverse of the graphed function? A. x -3 -1 1 3 y 1 2 3 4 B. x -4 -3 -2 -1 y -3 -1 1 3 C. x 1 2 3 4 y -3 -1 1 3 D. x -3 -1 1 3 y -4 -3 -2 -1
I need help . Only respond if you got the real answer
Answer:
It's not similar
Step-by-step explanation:
the triangle on the left is "85*" and the triangle on the right is "65*"
this is what I know based on my knowledge
A netball court measures 31 metres long and 15 metres wide.
What is the perimeter of a netball court?
The perimeter of the netball court is equal to 92 meters.
What does perimeter mean?
The whole distance encircling a shape is referred to as its perimeter. It is the length of any two-dimensional geometric shape's boundary or outline.
A netball court is a rectangle,
it is given that length of the net ball court is equal to 31 meters.
The width of the netball court is equal to 15 meters.
Therefore the perimeter of the netball court is equal to the length of all sides of the rectangle.
Perimeter of netball court = 2(31+15)=92 meters.
Therefore perimeter of the netball court is equal to 92 meters.
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+
-4
+
-3
+
-2
+
0
+
1
+
2
-5
-1
3
4
5
Choose 1 answer:
A
23
B
23
23
Answer:
1356
Step-by-step explanation:
Decide whether triangles ABC and DEC are similar. Explain or show your reasoning.
Triangles ABC and DEC are similar.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
Here, we have,
Given the triangles ABC and DEC
For the triangle ABC:
m∠A = 36, m∠B = 21
So, the m∠C = 180 - (m∠A + m∠B ) = 180 - (36 + 21) = 123
Similarly, the angles of DEC are,
m∠D=36 , m∠C=123 & we get, m∠E =21
So, comparing the measurements of the angles of both triangles:
m∠A=m∠D.
m∠C=m∠C
m∠B=m∠E
So, the triangles are similar using the AAA postulate.
Hence, triangles ABC and DEC are similar.
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The opposite of the opposite of -2 is equal to
The opposite of the opposite of -2 is equal to: -2
This can be solved by using the concept of inverse.
What is inverse?This quantity is also referred to as the opposite (number), sign modification, and negation. It changes the sign of a real number so that the additive inverse of a positive number is negative and the additive inverse of a negative number is positive. Due to their ability to reverse mathematical processes, inverse techniques are crucial for solving equations. One of the most crucial issues to ask whenever a new mathematical method is presented is how to invert it.
The term inverse in mathematics refers to the inverse of another operation.
In this case firstly opposite of - 2 is 2 and next opposite of 2 is again -2.
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Two Trends pay the restaurant bill in the ratio of 16:4. If more paying friend pays
Rs 140 find the total amount paid by them.
Answer:
Cici O i itcivouvitci cc tfurx
Step-by-step explanation:
vhihciycyivovitcu
Please help me!, also pls explain your answer thx :)
Answer:
H
Step-by-step explanation:
A table showing y as a function of x is a table that has exactly one y-value that is assigned to every x-value in the table.
Thus, all tables except table H do not meet this criteria.
In table H, every x-value has exactly one y-value. No x-value is having different y-values assigned to it.
Therefore, the answer is H.
Mr. Brown recorded the final exam scores for his fifth period math class in the histogram below.
Which of the following would be the best measure of center?
A.
mean
B.
median
C.
interquartile range
D.
mean absolute deviation
A company tests a new battery for an electric car. The distance the car travels, d km, and the charge left in the battery, C%, are measured. Some measurements are shown in the table. Find the C-axis intercept of the line. Pls help I would really appreciate it!
Based on the measurements shown in the table, the C-axis intercept of the line is equal to 100.
What is y-intercept?In Mathematics, the y-intercept of any graph such as a linear function, exponential function, polynomial function, quadratic function, etc., generally occur at the point where the value of "x" is equal to zero (x = 0).
What is the x-intercept?In Mathematics, the x-intercept can be defined as the point at which the graph of a linear function, exponential function, polynomial function, quadratic function, etc., crosses the x-coordinate and the value of "y" is equal to zero (y = 0).
In this scenario, the C-axis intercept of the line simply refers to x-intercept. Therefore, we can reasonably infer and logically deduce that the C-axis intercept of the line (x-intercept) is equal to 100 while the d-axis intercept of the line (y-intercept) is equal to 200.
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Original price: $22 Discount percent: 25%
Answer: 16.5
Step-by-step explanation:
Original price is 22 remove 25% by multiplying 22 by 0.75
If trying to find the original price when the discount is 25% and the discounted price is 22 take 22 and divide it by 3 and then multiply it by 4
What is ?
PLEASE HELP ASAP!
Answer:
116
Step-by-step explanation:
The great state of Kansas, home of Pizza Hut, Wyatt Earp, the fabulous Jayhawks (and Shockers), that Great Wizard, the half-way point between L.A. and NY city, and the Beef Bowl football game, had five (5) electors in electoral college for the 2008 presidential election. Based upon that information, how many Senators does Kansas have in the U.S. Senate currently
Answer:
Not possible to calculate with the information
Step-by-step explanation:
Given
[tex]Elector = 5[/tex] (each)
Required
The number of Kansas senators presently in the US senate
First, it should be noted that the given information applies to 2008 presidential election
Next, the given information states the number of electors each of the given locations had in the electoral college.
There was no information about the number of senators in the senate (presently or 2008).
Hence, additional information is required to answer the question.
PLEASE ANSWER FAST WILL GIVE BRANLIEST DONT RESPOND WITH LINKS
In the diagram above, if m∠8=48º, find each angle measure
M∠1 =
m∠2 =
m∠3 =
m∠4=
m∠5=
m∠6=
m∠7=
Answer:
<6, <5, <7 all equal 48 degrees.
<1, <2, <3, <4 all equal 132 degrees.
Step-by-step explanation:
Straight angles (like <5 & <2) are supplementary, so they equal 180 when added together
Vertical angles (like <2 & <1) have the same measurments
Corresponding angles (like <8 & <6) have the same measurements
Alternate interior angles (like <8 & <5) have the same measurments
Alternate exterior angles (like <6 & <7) have the same measurements
Same-side interior angles (like <8 & <2) are supplementary, so they add to 180.
There's more, and there's other ways to do this, this is just an example. Good luck! <3
Please help, no links
pls help with this question find the slope from 1-6
Answer:
Step-by-step explanation:
1. ( -2, 2), (-1, 5)
(5 - 2)/(-1 + 2)= 3/1= 3
2. (-4, 2), (2, 0)
(0 - 2)/(2 + 4) = -2/6 = -1/3
3. (0, 3), (5, 1)
(1 - 3)/(5 - 0)= -2/5
4. (0, 0), (1, 1)
(1 - 0)/(1 - 0)= 1/1= 1
5. (3, 0), (3, 1)
(1 - 0)/(3 - 3) = 1/0 = undefined
6. (0, -1) (1, -1)
(-1 + 1)/(1 - 0)= 0/1 = 0