Answer:
The finding is significant at α = 0.05 but not at α = 0.01.
Step-by-step explanation:
We are given with the following hypothesis below;
Null Hypothesis, [tex]H_0[/tex] : p = 0.40 {means that the population proportion is equal to 40%}
Alternate Hypothesis, [tex]H_A[/tex] : p > 0.40 {means that the population proportion is greater than 40%}
The z-test statistics given to us is 2.25.
Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.
Since the value of our test statistics is more than the critical value of z as 2.25 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Now, at 0.01 level of significance, the z table gives a critical value of 2.33 for the right-tailed test.
Since the value of our test statistics is less than the critical value of z as 2.25 < 2.33, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.
This means that the finding is significant at α = 0.05 but not at α = 0.01.
Matthew wants to estimate the mean height of students attending his collage. He records the heigjts of 100 randomly selected students attending the college. What is the population?
Answer:
ned more info
Step-by-step explanation:
The correct option that shows the population of the research carried out by Matthew is Option D; all the students attending the college.
What is the mean?Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set.
We are told that Matthew wants to estimate the mean height of students attending his college.
Now, let us say the total number of students in his college is x.
If he decides to select 100 students randomly to record their height, it means this 100 student is a sample out of the total number of students which is x that is the population.
In conclusion, we can say that the population of this research by Matthew is the total number of students that attend the college.
Hence, The correct option that shows the population of the research carried out by Matthew is Option D; all the students attending the college.
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Joy makes 6.5 litres of soup, correct to the nearest 0.5 litre. She serves it the soup in 280ml portions, correct to the nearest 10ml. 22 people order this soup, Does joy definitely have enough soup to serve the 22 people
Answer:
Joy definitely does have enough soup for 22 people.
Step-by-step explanation:
Upper Bound: 285ml turn it to 0.285l 10÷2=5
280ml
Lower Bound: 275ml turn it to 0.275l
Upper Bound: 6.75l 0.5÷2=0.25
6.5 Litters
Lower Bound:6.25l
6.75÷0.275=24.54 or 25
6.25÷0.285=21.92 or 22
22 < 25 Joy definitely does have enough soup for 22 people.
Reduce the fraction
72/120
Enter your answer as a fraction in simplest form, using the / symbol, like this: 42/53
Or, if the denominator is 1. enter your answer as a number, like this: 42
Answer:
3/5
Step-by-step explanation:
72/2 =36
120/2 =60
=36/60
36/2 = 18
60/2 = 30
=18/30
18/2=9
30/2 =15
= 9/15
9/3=3
15/3 =5
= 3/5
help.. Me plssssssss
1)
2, 5, 8, 11, 14
2)
0, 2, 8, 18, 32
3)
-6, -1, 2, 3, 10, 29
substitute the given values for x and do as the function says.
The average age of 4 children is 15 years. If the ages of their parents are added, the average age is 25. What is the age of the father if he is 4 years older than his wife?
Answer:
47 years old.
Step-by-step explanation:
Let c represent each children, 'f' represent the father and 'm' represent the mother. We are given that:
[tex]4c=15*4=60\ years\\f=m+4\\\frac{4c+m+f}{6}=25[/tex]
Replace the first two equations into the last to solve for 'f':
[tex]\frac{60+(f-4)+f}{6}=25 \\2f=(25*6)-60+4\\f=47\ years[/tex]
The father is 47 years old.
Please answer this question in two minutes
Answer:
(7.5 , 5.5)
Step-by-step explanation:
The midpoint is halfway between the two end points:
Its x value is halfway between the two x values
Its y value is halfway between the two y values
To calculate it:
Add both "x" coordinates, divide by 2
Add both "y" coordinates, divide by 2
functions.
Which values are within the domain of the function?
Check all that apply.
st
x= -6
x=-4
2
1 x= -2
LED x = 0
-4
-2
2
4
I x = 2
0 x = 4
-2.
-4
Answer:
2,5 and 6
Step-by-step explanation:
The answer is going to be option 2, 5 and 6 because the line touches -4,2 and 4 on the x axis. And these are the x values so that's why this is going to be the answer.
Hope this information helps you!
x=-2, x=-4, x=2 and x=4 values are within the domain of the function
What is a function?A relation is a function if it has only One y-value for each x-value.
The domain of a function is the set of all possible inputs for the function.
If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.
x=2, x=4, x=5, x=-2, x=-4 are the values in domain
Hence, x=-2, x=-4, x=2 and x=4 values are within the domain of the function
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Two functions are graphed on the coordinate plane.
Which represents where f(x) = g(x)?
10
8
Of(4) = g(4) and f(0) = g(0)
O f(-4) = g(-4) and f(0) = g(0)
O f(-4) = g(-2) and f(4) = g(4)
Of(0) = g(-4) and f(4) = g(-2)
Answer:
Option B
Step-by-step explanation:
We can see that, from the picture provided, the graphs intersect at points( 0, 4 ) and ( - 4, 4 ), respective to functions f( x ) and g( x ). These intersection points makes each function equivalent to one another, and hence -
Function f( x ) where x = - 4 / Function g( x ) where x = - 4,
[tex]f( - 4 ) = 4,\\g( - 4 ) = 4\\----------\\f ( - 4 ) = g ( - 4 )[/tex]
Respectively function f( x ) where x = 0 / Function g( x ) where x = 0,
[tex]f( 0 ) = 4,\\g( 0 ) = 4\\----------\\f ( 0 ) = g ( 0 )[/tex]
Your solution should be option b, " f(-4) = g(-4) and f(0) = g(0) "
During a football game, a team lost 9 yards on the first play, then gained 3 yards on each of the next 3 plays. Which integer represents the total number of yards at the end of the first four plays?
Answer:
They made 0 gain/loss.
Step-by-step explanation:
0 - 9 = -9
3 x 3 = 9
-9 + 9 = 0
Please tell me if I'm wrong.
Please answer this question fast in two minutes
Answer:
(7, 8)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x1+x2}{2}, \frac{y1+y2}{2})[/tex]
Simply set our midpoint and given point equal into a formula to find the other endpoint:
4 = (1 + x)/2
8 = 1 + x
x = 7
6 = (4 + y)/2
12 = 4 + y
y = 8
A loaf of bread that is baked today costs $7. All of the bread baked yesterday is 40% off.
Tobin has $5. He wants to know if $5 is enough to purchase a loaf of yesterday's bread.
How can Tobin find the price of a loaf of
yesterday's bread? Complete the statement
The price of ?
equals
the price of ?
minus
the discount
The price of yesterday's bread equals the price of today's bread minus the discount.
The price of yesterday's bread is equal to the price of today's bread less the dollar equivalent of the discount.
dollar equivalent of the discount = 40% X $7
= 0.4 X $7 = $2.80
Price of yesterday's bread = $7 - $2.80 = $4.20
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ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
pretty sure its 5 since 5 is the hoghest exponent
Determine the intercepts of the line.
Answer:
(-7.5, 0) x intercept
(0, 5.5) y intercept
Step-by-step explanation:
The x intercept is where it crosses the x axis
It crosses at (-7.5, 0)
The y intercept is where it crosses the y axis
It crosses at (0, 5.5)
Answer:
the x intercept will be (-7.5,0) and the y=(5.5,0)
Step-by-step explanation:
the intercept is were the line cross the graph.
Simplify the following expression (62)4
Answer:
[tex]3^{0} =1[/tex]
Step-by-step explanation:
Here
are
two
rectangles:
4x
2= -3
A
2.5
av
All measurements (cm)
Both
rectangles
hake
area.
Work out perimeter of shape B.
same
Answer:
Perimeter of rectangle B = 29cm
Step-by-step explanation:
Area of A = 4x x 2.5
Area of B = (2x - 3) x 7
The area of A and B are equal so
4x x 2.5 = (2x - 3) x 7
10x = 14x - 21
-4x = -21
4x = 21
x = 5.25
Work out the perimeter of B:
2x - 3
= (2 x 5.25) - 3
= 7.5
7.5 x 2 = 15
15 + (7 x 2) = 29
Therefore, the perimeter of rectangle B = 29cm
The area of Rectangle is length times of width. Perimeter of rectangle A is 47cm
What is Area of Rectangle?The area of Rectangle is length times of width.
Area of rectangle A is 4x x 2.5
Area of B = (2x - 3) x 7
The area of A and B are equal so
4x x 2.5 = (2x - 3) x 7
10x = 14x - 21
Take common variables on one side
10x-14x=-21
-4x = -21
Multiply minus on both sides
4x = 21
Divide both sides by 4
x = 5.25
So 4x=4(5.25)=21
2x-3=2(5.25)-3=7.5
Let us find the perimeter of a rectangle with length 21 and width 2.5
2(21+2.5)
2(23.5)=47
The perimeter of rectangle A is 47
Hence the perimeter of rectangle A = 47cm
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What is the nth term rule of the quadratic sequence below? 7, 14, 23, 34, 47, 62, 79
Answer:
Tn = Tn-1 + 2(n-1) + 5
Kindly note that Tn-1 means T subscript n-1
Step-by-step explanation:
Here, we want an expression for the nth term.
First term is 7
Then first common difference is 7
second common difference is 7 + 2
Third common difference is 9 + 2
So within the common differences, the nth term is 7 + (n-1) 2
Now, the nth term of the series would be;
Tn = Tn-1 + 7 + 2(n-1)
Tn = Tn-1 + 7 + 2n -2
Tn = Tn-1 + 2n + 5
Now there is a fix to this,
n for the term is not the same n for the common difference.
the 7th term works with the 6th common. difference, while the 8th term work for the 7th common difference.
So we might need to rewrite the final expression as follows;
Tn = Tn-1 + 2(n-1) + 5
The points A (-3, b), and B (1, 3) are 5 units apart. Find the value of b.
Answer:
b = 0
Step-by-step explanation:
To find the value of b, we will follow the steps below;
Using the distance formula:
D = √(x₂-x₁)² + (y₂-y₁)²
from the question given,
A (-3, b), this implies
(-3, b) = (x₁ ,y₁)
x₁=-3 and y₁ = b
similarly
B (1, 3)
(1, 3) = (x₂,y₂)
this implies
x₂ = 1 and y₂=3
D= 5
we can now proceed to insert the values into the formula and then solve for b
D = √(x₂-x₁)² + (y₂-y₁)²
5 = √(1+3)² + (3-b)²
5 = √4² + (3-b)²
5=√16 + (3-b)²
take the squares of both-side of the equation
5² = 16 + (3-b)²
25 = 16 + (3-b)²
subtract 16 from both-side of the equation
25 - 16 = (3-b)²
9 = (3-b)²
Take the square root of both-side
√9 = 3-b
3 = 3-b
add b to both-side of the equation
3 + b = 3 - b+ b
3 + b = 3
subtract 3 from both-side of the equation
3+b-3 = 3-3
b = 0
Therefore, the value of b is 0
what is the multiplicative inverse of 1 ½
Answer:
-2/3
Step-by-step explanation:
Well, multiplicative inverse means the opposite of a answer in this case 1 1/2 has to be made into an improper fraction.
3/2.
Hence, the multiplicative inverse of 3/2 is -2/3.
Plzzzz help with atleast 1question❤️
Answer:
4) 3, -2, -8
5) -7
6) E
7) D
8) 5, -1, 34
Step-by-step explanation:
4) There are at least two prominent points on line EF: (0, -4) and (6, 5). From there, we can find the slope-intercept formula of it.
The slope: (5 + 4) / (6 - 0) = 9 / 6 = 3 / 2
The intercept: (0, -4)
So, we have y = 3/2x - 4.
-3/2x + y + 4 = 0
Multiply every term by 2.
-3x + 2y + 8 = 0.
But the question asks for A to be >0! Multiply everything by -1.
3x - 2y - 8 = 0
So, the values of A, B, and C, respectively, are 3, -2, -8.
5) There are at least two prominent points on line GH: (-9, 4) and (-1, 2). From there, we have...
The slope: (4 - 2) / (-9 + 1) = 2 / -8 = -1/4
y = -1/4x + b
2 = (-1/4 * -1) + b
2 = (1/4) + b
b = 1.75; or 1 and 3/4; or 7/4.
Then, we have our intercept: 7/4.
We have an equation in slope-intercept form: y = -1/4x + 7/4
1/4x + y - 7/4 = 0
Multiply everything by 4.
x + 4y - 7 = 0.
The value of C is -7.
6) Lines that are parallel to the y-axis are vertical lines, which means that the x-values never change. We are looking for an equation where x = 3. That is code letter E.
7) Lines perpendicular to the y-axis are horizontal lines, which means that the y-values never change. We are looking for an equation where y = -5. That is code letter D (y + 5 = 0; y = -5).
8) A line parallel to 5x - 8y + 12 = 0 would have the same slope as it.
5x - 8y + 12 = 0
-8y = -5x - 12
y = 5/8x + 3/2
So, the line should have a slope of 5/8.
3 = (5/8) * (-2) + b
3 = -10/8 + b
3 = -5/4 + b
b = 3 + 5/4
b = 4 and 1/4; 17/4.
y = 5/8x + 17/4
-5/8x + y - 17/4 = 0
Multiply all terms by 8.
-5x + y - 34 = 0
Multiply all terms by -1.
5x - y + 34 = 0.
The values of A, B, and C, respectively, are 5, -1, 34.
I REALLY hope this helps because my brain kinda hurts now XD Have a great day!
solve for v. -9/8 = v - 1/2
Answer:
[tex] - \frac{5}{8}[/tex]
Step-by-step explanation:
[tex] - \frac{9}{8} = v - \frac{1}{2} \\ \\ \frac{1}{2} - \frac{9}{8} = v \\ \\ \frac{4}{8} - \frac{9}{8} = v \\ \\ \frac{4 - 9}{8} = v \\ \\ v = - \frac{5}{8} \\ [/tex]
Which of the following is the correct factored form of the given equation?
Answer: 3
Step-by-step explanation:
Which one of the following statements expresses a true proportion?
O A. 7:9 = 8:9
OB. 3:4 = 9:12
O C.54:9 = 6:3
OD. 2:1 1:2
Answer:
The answer is B.
Step-by-step explanation:
A true proportion is a set of ratios that equal each other.
For example, 1:2=2:4 is a proportion.
As we look through the list, we observe only B equals each other. Imagine 3:4 and 9:12 as a fraction. (¾ and 9/12). If we reduce 9/12, we get ¾. Thus, 3:4 = 9:12:)
I hope this helps!
Which rule describes the composition of transformations
that maps ABC to A'B'C"?
Answer:
Step-by-step explanation:
To get from ABC to A'B'C', ABC is reflected across line m.
To get from ABC to A"B"C", ABC need to first be reflected across line m. Then, it needs to be rotated 90° clockwise to get to A"B"C".
I'm not exactly sure which one you were trying to get (so I just added both), because you said A'B'C", instead of A'B'C' or A"B"C", but I really hope this answers your question!
The rule which describes the composition of transformations that maps ABC to A'B'C' is,
⇒ reflect across the line m.
We have to given that,
To find the rule which describes the composition of transformations that maps ABC to A'B'C'.
Here, The triangle ABC and it's image A'B'C' is shown in image.
Clearly, Image of triangle ABC is reflect across the line m.
Thus, the rule which describes the composition of transformations that maps ABC to A'B'C' is,
⇒ reflect across the line m.
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AC= ? Round your answer to the nearest hundredth.
Answer:
answer should be 40
Step-by-step explanation:
Find the solutions to the equation below.
16x2 - 64 = 0
A. X=-4
B. X= 4
C. X = -2
D. X=-8
E. X= 2
F. X=-64
Answer:
C. X = -2
E. X = 2
Step-by-step explanation:
16(-4)² = 64
16(16) = 64
256 = 64 (false)
16(4)² = 64
16(16) = 64
256 = 64 (false)
16(-2)² = 64
16(4) = 64
64 = 64 (true)
16(-8)² = 64
16(64) = 64
1024 = 64 (false)
16(2)² = 64
16(4) = 64
64 = 64 (true)
16(-64)² = 64
16(4096) = 64
65356 = 64 (false)
A map has a scale of 1 cm to 2.3 km. The real-life distance between two towns is 69 km. What is the distance between the two towns on the map?
Answer:
Step-by-step explanation:
Cm : km
1 : 2.3
x : 69 Cross multily
2.3x = 69
x =[tex]\frac{69}{2.3}[/tex]
x = 30cm
the distance between the two towns on the map is 30cm
Answer:
30 cm
Step-by-step explanation:
69/2.3 = 30
Which one of the following is the graph of:
Answer:
B
Step-by-step explanation:
Correct if wrong
Rob is making a scale model of the Solar System on the school field. He wants the distance from the Sun to Jupiter to be 8 metres on his scale model. The real distance from the Sun to Jupiter is 7.8 × 10 8 kilometres. Find the scale of the model. Give your answer in the form 1 : n , where n is written in standard form.
Answer:
1 : 9.75 * 10⁷
Step-by-step explanation:
To find n, we have to divide the real distance by the scale distance. This is 7.8 * 10⁸ / 8 = 0.975 * 10⁸ = 9.75 * 10⁷ which means that the ratio is 1 : 9.75 * 10⁷.
Answer:
1:9.75x10^10
Step-by-step explanation:
780000000km/0.008km=97500000000
=9.75×10^10.can someone please help me I really need help please help me thank you
Hey there! I'm happy to help!
The surface area is basically the total area of all of the two-dimensional shapes that make up the prism. So, the surface area is the area of our two triangles, the big rectangle on the bottom, the big rectangle that goes diagonal, and the long on the back.
First, let's find the area of our triangles. To find the area of a triangle, you multiply the base by the height and then divide it by two!
4×3=12
12÷2=6
So, each of our triangles has an area of 6 cm².
Now, let's find the area of the bottom rectangle. To find it, we just multiply the long side by the short side.
4×11=44
Now, let's look for the big diagonal rectangle above the bottom rectangle.
5×11=55
Finally, we'll find the area of the back rectangle.
3×11=33
Now, we add all of our measurements up: our two triangles and the three rectangles.
6+6+44+55+33=144
Therefore, the surface area of this prism is 144 cm².
Now your can find the surface of area of these shapes! Have a wonderful day!
40 cm³ of mercury weighs 544 g. Calculate the density of mercury. pls answer question
Answer:
13.6
Step-by-step explanation:
density= mass/volume
= 544g/40cm3
=13.6