70 is a composite number because it can be divided by numbers other than one and itself.
Answer:
70 is composite
Step-by-step explanation:
Its last digit is 0. That means it's 100% composite.
What temperature does the thermometer show?
draw moels for two gardens, one that is 6 ftx 3 ft and one that is 6 ft x 4ft.
Both the garden are in the shape of rectangles.
A rectangle is a quadrilateral with four right angles in the Euclidean plane. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
The dimension of the two gardens are given as:
6 ft ×3 ft and 6 ft × 4 ft
From the dimension, we can conclude that the gardens are in the shape of a rectangle.
For the first garden 6 ft ×3 ft,
The length of the garden is l = 6 ft and;
The breadth of the garden is b = 3 ft.
Similarly,
For the second garden 6 ft × 4 f,
The length of the garden is l = 6 ft and;
The breadth of the garden is b = 4 ft.
The models for the two gardens:
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need help with this question
For the graph of the cubic root function, the function has no intercept.
What is the cartesian plane?The cartesian plane is a two-dimensional coordinate plane that is formed when two parallel lines meet. The X-axis is the horizontal line, and the Y-axis is the vertical line. On the Cartesian plane, the coordinate point (x, y) indicates that the point is on the right of the origin if the sign of x is positive; otherwise, the point is on the left of the origin.
Given the graph of the cubic root function,
The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.
the function of the graph is y = ∛x
when x = 0, y = 0
the function does not have any intercept.
Hence option C is correct.
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Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
7.2b + 6.5 > 4.8b – 8.1.
Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6.
Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.
Which student’s first step was incorrect, and why?
Answer:
B
Step-by-step explanation:
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Answer:
Luis’s, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
Luis’s, because he flipped the inequality sign when he subtracted
A recently televised broadcast of a popular television show had a 15 share, meaning that among 5000 monitored households with TV sets in use, 15% of them were tuned to the show. A 0.01 significance level is used to test an advertiser’s claim that among the households with TV sets in use, less than 20% were tuned in to the show. Find the P-value.
1.9998
0.9999
0.0001
0.0002
The p-value of the given hypothesis is; 0.9999
How to find the p-value of the statistics?The formula for the z-score of proportions is;
z = (p^ - p)/√(p(1 - p)/n)
where;
p^ is sample proportion
p is population proportion
n is sample size
We are given;
p^ = 15% = 0.15
p = 20% = 0.2
n = 5000
Thus;
z = (0.15 - 0.2)/√(0.2(1 - 0.2)/5000)
z = -8.8388
From p-value from z-score calculator, we have;
P(Z < -8.8388) = 1 - 0.0001 = 0.9999
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is 2/5 and 12/20 equivalent?explain your answer
Answer:
no
Step-by-step explanation:
2/5 * 6/6 = 12/30 which is not equal to 12/20 and if we make the denominator same i.e 2/5 * 4/4 = 8/20 which is again not equal to 12/20
Answer:
Hello! :) I hope I’m correct!!
Step-by-step explanation:
2/5 and 12/20 are NOT equivalent.
First we have to find out what times 2 gives you 12
2x6=12
It will be 6.
Since you did this for the numerator, you have to do the same for the denominator.
(Multiply both the numerator and denominator by 6)
5x6=30
For our numerator we got 12 and for our denominator we have 30
Which will be 12/30 not 12/20
2/5 is equivalent to 12/30 but not 12/20.
So therefore the answer to your question will be NO, 2/5 and 12/20 are not equivalent.
Hope this helps! :)
If you have any questions, than feel free to ask them! :)
By: BrainlyAnime ^-^
Please answer the image attached
Answer:
(1) - Upside-down parabola
(2) - x=0 and x=150
(3) - A negative, "-"
(4) - y=-1/375(x–75)²+15
(5) - y≈8.33 yards
Step-by-step explanation:
(1) - What shape does the flight of the ball take?
The flight path of the ball forms the shape of an upside-down parabola.
\(\hrulefill\)
(2) - What are the zeros (x-intercepts) of the function?
The zeros (also known as x-intercepts or roots) of a function are the points where the graph of the function intersects the x-axis. At these points, the value of the function is zero.
Thus, we can conclude that the zeros of the given function are 0 and 150.
\(\hrulefill\)
(3) - What would be the sign of the leading coefficient "a?"
In a quadratic function of the form f(x) = ax²+bx+c, the coefficient "a" determines the orientation of the parabola.
If "a" is positive, the parabola opens upward. This is because as x moves further away from the vertex of the parabola, the value of the function increases.If "a" is negative, the parabola opens downward. This is because as x moves further away from the vertex, the value of the function decreases.Therefore, the sign would be "-" (negative), as this would open the parabola downwards.
\(\hrulefill\)
(4) - Write the function
Using the following form of a parabola to determine the proper function,
y=a(x–h)²+k
Where:
(h,k) is the vertex of the parabolaa is the leading coefficient we can find using another pointWe know "a" has to be negative so,
=> y=-a(x–h)²+k
The vertex of the given parabola is (75,15). Plugging this in we get,
=> y=-a( x–75)²+15
Use the point (0,0) to find the value of a.
=> y=-a(x–75)²+15
=> 0=-a(0–75)²+15
=> 0=-a(–75)²+15
=> 0=-5625a+15
=> -15=-5625a
∴ a=1/375
Thus, the equation of the given parabola is written as...
y=-1/375(x–75)²+15
\(\hrulefill\)
(5) - What is the height of the ball when it has traveled horizontally 125 yards?
Substitute in x=125 and solve for y.
y=-1/375(x–75)²+15
=> y=-1/375(125–75)²+15
=> y=-1/375(50)²+15
=> y=-2500/375+15
=> y=-20/3+15
=> y=25/3
∴ y≈8.33 yards
1. Ms. Alman wrote the following number on the board:
853.72
In which number is the value of the digit 7 exactly 10 times the value of the digit 7 in the
number Ms. Alman wrote?
A. 739
B. 871
C. 907.6
D. 945.87
2. Latika's class is learning about decimals. Latika raises her hand and says, "Hundredths
Answers:
871
The question cut off at hundredths but Latika was right
Step-by-step explanation:
If you can answer this question please do it as soon as you can.
During the year, Poch Co. incurred cost of goods sold of $59,823 million on net sales of $76,643 million. What was Poch's return on sales ratio for the year? (Assume no other expenses)
a. 10.6%
b. 24.1%
c. 21.9%
d. 13.8%
During the year, Poch Co. incurred cost of goods sold of $59,823 million on net sales of $76,643 million. To find Poch's return on sales ratio, we need to divide the cost of goods sold by the net sales and multiply by 100.
The calculation would be:
Return on Sales Ratio = (Cost of Goods Sold / Net Sales) * 100
Plugging in the given values:
Return on Sales Ratio = ($59,823 million / $76,643 million) * 100
Now, let's solve the calculation:
Return on Sales Ratio = (0.7807) * 100
Return on Sales Ratio ≈ 78.07%
Since none of the provided answer options match with the calculated ratio, we cannot determine the exact return on sales ratio.
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A school Community had planned to reduce the number of Grade 9 students per classroom by constructing additional classrooms however they constructed 4 Less rooms than they planned. As the result the number of students per class was 10 more than they planned if there are 1200 grade 9 students in the school determine the current number of classrooms and the number of students per class
The current number of classrooms is 24, and the number of students per class is 70 if there were a total of 1200 students.
Let us assume that the number of classes = x
Number of students per class = 1200/x
Number of classrooms planned = x - 4
Number of students planned per class = 1200/ x+10
Total number of students = 1200
By using the above data, the equations will be written as:
(1200 / x-4) = (1200/x) +10
By multiplying the equation 2 we get:
1200x = 1200x + \(x^{2}\) - 4800 - 40x
\(x^{2}\) - 480- 4x = 0
(x-24) (x+20) = 0
x = 24
Number of rooms built = x =24
Number of students per class = (1200/24-10) = 60 students
Therefore, we can conclude that the current number of classrooms is 24, and the number of students per class is 60 + 10 =70.
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Find the perimeter of △TUV. Round your answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
The perimeter of triangle TUV is equal to 87.6 units.
How to determine a missing length in a system of two similar triangles and the perimeter of a triangle
In this question we need to determine the length of side UV, which is part of a system of two similar triangles. Two triangles are similar if each pair of corresponding internal angles are congruent, but each pair of sides are not congruent though proportional. This system can be described well by following proportion formula:
x / 23 = 24 / 20 = 36 / 30
x / 23 = 6 / 5 = 6 / 5
x / 23 = 6 / 5
x = (6 / 5) × 23
x = 27.6
The perimeter of the triangle TUV is the sum of the sides TU, UV, TV, thus:
p = TU + UV + TV
p = 24 + 27.6 + 36
p = 87.6
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The value of the variable x for the similar triangle ∆TUV is 27.6 and it's perimeter is equal to 87.6.
How to evaluate the for the perimeter of the triangle ∆TUVThe triangles QRS and TUV are similar, this implies that the length RS of the smaller triangle is similar to the length UV of the larger triangle
and the length QR of the smaller triangle is similar to the length TU of the larger triangle
so;
20/24 = 23/x
x = (23 × 24)/20 {cross multiplication}
x = 552/20
x = 27.6
perimeter of ∆TUV = 36 + 24 + 27.6
perimeter of ∆TUV = 87.6
Therefore, the value of the variable x for the similar triangle ∆TUV is 27.6 and it's perimeter is equal to 87.6
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What value of x makes the equation − 1 3 x + 6 = − 6 + 2 3 x true?
Answer:
4
Step-by-step explanation:
sorry for the bad picture but help needed asap! points!!!
evelyn wants to estimate the proportion of people who own a tablet computer. a random survey of individuals finds a 95% confidence interval to be (0.62,0.78). what is the correct interpretation of the 95% confidence interval? select the correct answer below: we estimate with 95% confidence that the sample proportion of people who own a tablet computer is between 0.62 and 0.78. we estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78. we estimate that 95% of the time a survey is taken, the proportion of people who own a tablet computer will be between 0.62 and 0.78.
The correct interpretation of the 95% confidence interval is: "We estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78."
This means that if we were to repeat the survey many times and construct a confidence interval for each sample, 95% of those intervals would contain the true proportion of people in the population who own a tablet computer. The interval (0.62, 0.78) is the range of values that is likely to contain the true population proportion with 95% confidence, based on the sample data.
Hence, the correct interpretation of the 95% confidence interval is:
"We estimate with 95% confidence that the true population proportion of people who own a tablet computer is between 0.62 and 0.78."
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What is the value of the expression below?
644,8
A. 16
B. 42
Answer:
the value of the expression is
Step-by-step explanation:
42
64^4/6
the answer is A. 16
Help asap please!!!! 15 points for the person to answer correctly!!!
line segment xy has endpoints at (1, -3) and (5, -4). the segment reflects over the x-axis. then it undergoes a translation of 3 units to the right . what are the coordinates of the endpoints? does the transformation affect the length of the line?
a) (4,3) and (8,4); no, the length of the line segment is not affected
b) (-4,3) and (8,4); yes the transformation increases the length of the line
c) (3,4) and (8, -1); no the length of the line segment is not affected
d) (4,1) and (7, -6); yes, the transformation shortens the length of the line segment
Coordinates of the given endpoints of the line segments ( 1, -3) and (5,-4) after translation of 3 units to the right and reflected over x-axis is given by :
a. Coordinates ( 4,3) and (8,4) , length of the given line segment does not get affected.
As given in the question,
Line segment of xy with endpoints (1, -3) and ( 5,-4).
Distance between endpoints are:
√( 5 -1)² + ( -4 + 3)²
= √17
Conditions given:
Line segment reflected over x-axis.
After reflection y-coordinates become positive.
Endpoints become : ( 1, 3 ) and ( 5, 4)
Translation of 3 units to the right.
New coordinates after translation:
(1 +3, 3) and ( 5+3 , 4)
= ( 4,3) and (8,4)
Distance between new endpoints are:
√( 8 -4)² + ( 4 - 3)²
= √17
Therefore, for the given endpoints of the line segment after reflection and translation as per given condition new coordinates are given by:
Option a. Coordinates ( 4,3) and (8,4) , length of the given line segment does not get affected.
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A situation in which conclusions based upon aggregated crosstabulation are different fromunaggregated crosstabulation is known asa.wrong crosstabulationb.Simpson's rulec.Simpson's paradoxd.aggregated crosstabulationANS: C
A situation in which conclusions based upon aggregated crosstabulation are different from unaggregated crosstabulation is known as Simpson's paradox.
Simpson’s Paradox is an example of statistics that can be wrong. The paradox is defined as averages that can be silly and misleading. Sometimes they can be just plain baffling.
It is also called the Yule-Simpson effect which is an effect that occurs when the marginal association between two categorical variables is qualitatively different from the partial association between the same two variables after controlling for one or more other variables.
This result is often encountered in social science and medical science statistics and is particularly problematic when frequency data are unduly given causal interpretations.
It is a statistical phenomenon where an association between two variables in a population emerges or reverses when the population is divided into subpopulations.
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I need help with this question.
To complete the chart make sure you to determine the number of girls and boys in each belt category, and verify the total people.
What does this task requires?This requires you to complete the chart presented based on graph, a data chart, or similar.
How to complete the chart?Carefully read the graph or data chart.Start filling out each of the categories and find out the missing values. For example if there are 15 people with black belt and 8 are girls it can be concluded 7 people are boys.Add the total in each category and make sure these totals match the total people.Note: This question is incomplete; due to this, the answer is based on general knowledge.
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Please answer this in two minutes
Answer: 9.9
Step-by-step explanation:
SINE RULE:
7/sin(31) = q / sin(47)
Therefore q = 7 / sin(31) * sin(47)
which equals: 9.9 to the nearest tenth.
Answer:
q = 9.9
Step-by-step explanation:
We can use the rule of sines
sin R sin Q
------------- = ------------
PQ PR
sin 31 sin 47
------------- = ------------
7 q
Using cross products
q sin 31 = 7 sin 47
Divide by sin 31
q = 7 sin 47 / sin 31
q =9.939995043
To the nearest tenth
q = 9.9
please help i have until saturday
The distance between the two points from the geometrical formula for that purpose is 6.2.
What is distance between two points in geometry?The distance between two points in geometry is the length of the straight line segment that connects the two points. It is calculated using the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.
Using the formula;
d= √(x2 - x1)^2 + (y2 - y1)^2
d = √(7.5 - 3)^2 + (6.25 - 2)^2
d = √20.25 + 18.06
d = 6.2
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(3,-3) and (2,-6) as a linear equation in y=mx+b form
Answer:
y=3x-12
Step-by-step explanation:
We need to find the m of y = mx+b which is the slope:
-3-(-6)/3-2 = 3 as our slope
We know have y = 3x+b.
If we keep applying slope to the point (2,-6) and go downwards. We hit (0,-12). That's our y intercept. So we replace b with our y intercept which is -12. We know get y = 3x-12
question 19in this list of numbers, what is the median? 97, 96, 95, 93, 93, 90, 87, 86, 84, 78, 75, 74, 70, 68, 65.9383.48680
The median of the given list of numbers is 87.
To find the median of a list of numbers, we arrange them in ascending order and identify the middle value.
If there is an odd number of values, the median is the middle number. If there is an even number of values, the median is the average of the two middle numbers.
First, let's arrange the numbers in ascending order:
65.9, 68, 70, 74, 75, 78, 84, 86, 87, 90, 93, 93, 95, 96, 97, 380, 486, 680
There are 17 numbers in the list, which is an odd number. The middle number is the 9th number in the list, which is 87.
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Can you help me in identifying m?
The length of the side m are obtained using the theorem of Pythagoras and proportional triangles to give;
a) m ≈ 28.4
b) m ≈ 12.09
c) m ≈ 9.38
Which theorem can be applied to find the value of m?a) The given triangle, is a right triangle.
The length of the legs of the triangle are; 33 and 56.
According to Pythagorean theorem, the length of the hypotenuse side, l, is therefore;
l = √(33² + 56²) = 65
From the formula for the area of a triangle, we have;
Area of a triangle, A, equals half the base length multiplied by the height.
A = 0.5 × Base length × Height
For the right triangle, we have;
A = 0.5 × Leg 1 × Leg 2
Which gives;
A = 0.5 × 33 × 56 = 924
However;
A = 0.5 × l × m
Where;
l = The hypotenuse = The base length = 65
m = The height of the triangle
Which gives;
A = 0.5 × 65 × m = 924
m = 924/(0.5 × 65) ≈ 28.4
m ≈ 28.4b) The side m is parallel the 14 units long side.
The proportion the side m divides a side of the triangle = 3 and 19
Given that the triangle formed by m is proportional to the larger triangle, we have;
m/14 = 19/(19+3)
m = 14 × 19/(19+3) ≈ 12.09c) From the proportionality of similar triangles, we have;
m/16 = 17/(14+15)
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Complete the explicit formula for the sequence.
42, 47, 52, 57, 62, ...
Answer:
Step-by-step explanation:
67,72..
It costs $3.60 to buy one lb of candy. How much would it cost to purchase 5 lbs of candy?
Answer:
18$
Step-by-step explanation:
The answer is 18$ because you multiply 3.60$ by 5 lbs
a survey of the larger than life corporation finds that 46 managers have a masters degree. also 60 managers have a b.s. degree and 20 have botha masters and bs degree. they found 10 have neither. how many managers are in this survey?
The number of managers are in this survey = 96
Let us assume that A represents the set of managers with BS degree and B represents the set of managers with masters degree.
46 managers have a masters degree.
⇒ n(A) = 46
60 managers have a B.S. degree
⇒ n(B) = 60
20 have both a masters and bs degree.
⇒ n(A ∩ B) = 20
10 managers have neither degree
⇒ n(A ∪ B)c = 10
We know that the set formula,
n(P U Q) = n(P) + (n(Q) – n (P ⋂ Q)
So, n(A ∪ B) = n(A) + n(B) – n (A ⋂ B)
n(A ∪ B) = 46 + 60 - 20
n(A ∪ B) = 86
Let n(S) be the be the total managers are in this survey.
n(S) = n(A ∪ B) + n(A ∪ B)c
n(S) = 86 + 10
n(S) = 96
Therefore, there are 96 managers in this survey.
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the kutta-joukowski theorem, equation (3.140), was derived exactly for the case of the lifting cylinder. in section 3.16 it is stated without proof that equation (3.140) also applies in general to a two-dimensional body of arbitrary shape. although this general result can be proven mathematically, it also can be accepted by making a physical argument as well. make this physical argument by drawing a closed curve around the body where the closed curve is very far away from the body, so far away that in perspective the body becomes a very small speck in the middle of the domain enclosed by the closed curve.
The Kutta-Joukowski theorem, which is represented by equation (3.140), was originally derived for the case of a lifting cylinder. However, it can also be applied to a two-dimensional body of arbitrary shape, as stated in section 3.16.
A more detailed explanation of the answer.
To make a physical argument for this generalization, we can draw a closed curve around the body.
The key is to draw the curve far enough away from the body such that the body appears as a very small speck in the middle of the domain enclosed by the closed curve.
By doing this, we are essentially treating the body as a point object at the center of the curve. Since the body is now a very small speck in comparison to the large domain, its specific shape becomes insignificant to the overall flow around it.
Therefore, the lifting force calculations derived from the Kutta-Joukowski theorem for the lifting cylinder should also apply to the two-dimensional body of arbitrary shape, as long as the body is small in comparison to the domain enclosed by the closed curve.
This physical argument allows us to accept that equation (3.140) can be applied in general to a two-dimensional body of arbitrary shape without requiring a mathematical proof.
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What is the equation of the line passing through the points (–5, –2) and (3, 14) in slope-intercept form?
Answer:
2x-y+2= 0
Step-by-step explanation:
(-5,-2)=(x1, y1)
(3, 14) =(x2, y2)
now,
slope(m)= y2-y1 / x2-x1
=14+2 / 3+5
= 16 /8
=2 units
passing point = (-5,-2) = x1,y1
now,
eqn of the line can be represented as,
y -y1 = m (x-x1)
y +2 = 2 (x +5)
y+2 = 2x +10
y = 2x+10-8
0 = 2x+2-y
2x-y+2 =0 is the required eqn
Answer:
licker 90000000000000000
randy read a book in the afternoon. He looked at his watch when he started and finishing reading. How long did randy read
The length of the time that randy read is 45 minutes.
What is time?Time is known to be an element that is often measured or that is measurable.
From the image attached, Randy started reading at 4:10 and Randy finished reading at 4:55.
We therefore need to subtract:
4:55 - 4:10 = 45 minutes
So, Randy is said to read for 45 minutes.
It is a period via which an action, process, etc. is alive or continues such as duration. One can tell the time by counting the minutes and seconds.
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