Step-by-step explanation:
[tex] = { ({16}^{ \frac{3}{2} } )}^{ \frac{1}{2} } [/tex]
[tex] = { ({( {2}^{4}) }^{ \frac{3}{2} } )}^{ \frac{1}{2} } [/tex]
[tex] = {2}^{4 \times \frac{3}{2} \times \frac{1}{2} } [/tex]
[tex] = {2}^{ \frac{12}{4} } [/tex]
[tex] = {2}^{3} [/tex]
[tex] = 2 \times 2 \times 2[/tex]
[tex] = 8[/tex]
The answer is B.
What are the minor arcs of O?
Answer:
3rd answer
Step-by-step explanation:
Pay attention to the arcs, minor arcs are less than 180 degrees
2
3
4
5
Which distance measures 7 units?
L
M
N
-8-7-6-5-4-3-2-1012
3
the distance between points L and M
the distance between points L and N
the distance between points M and N
the distance between points M and P
5 6 7 8
TIME REMAINING
56:41
Answer:
the distance between points M and P
Step-by-step explanation:
i did it
Please Simplify 3√7 / 5√7
Step-by-step explanation:
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white shapes and black shapes are used in a game. some shapes are circles. all the other shapes are squares. the ratio of white shapes to the number of black shapes is 7:3 the ratio of white circles to white squares is 2:7 the ratio of black circles to the number of black squares is 1:2 work out what fraction fo all shapes are circles give your answer as a fraction in its simplest form
[tex]\mathbf{\frac{23}{90}}[/tex] fraction of all shapes are circles.
Given that the ratio of the number of white shapes to black shapes is 7:3
Let the number of white shapes be [tex]7n[/tex]
Then the number of black shapes be [tex]3n[/tex]
So total number of shapes [tex]=7n+3n=10n[/tex]
Now ratio of white circles to white squares is 2:7
So the fraction of circles to all white shapes [tex]=\frac{2}{2+7}=\frac{2}{9}[/tex]
Hence the number of white circles [tex]=\frac{2}{9}\times7n=\frac{14n}{9}[/tex]
Again given that the ratio of black circles to the number of black sqaures is 1:2
So the fraction of circles in all black shapes [tex]=\frac{1}{1+2}=\frac{1}{3}[/tex]
The number of black circles [tex]=\frac{1}{3}\times3n=n[/tex]
Total number of circles [tex]=\frac{14n}{9}+n=\frac{14n+9n}{9}=\frac{23n}{9}[/tex]
The fraction of all shapes are circle is [tex]=\frac{\frac{23n}{9}}{10n}=\frac{23n}{90n}=\frac{23}{90}[/tex]
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ABD and DBC are complementary angles 43 what is the measure of x
The value of x is 60
How to determine the value of x?The complete question is added as an image
From the image, we have:
ABD = 30
DBC = x
The sum of complementary angles is 90.
So, we have:
30 + x = 90
Subtract 30 from both sides
x = 60
Hence, the value of x is 60
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What is the length of a 90 degree arc of a circle with the radius of 11 cm
Based on a poll conducted by the Centers for Disease Control, 862 of 1013 randomly selected adults said that they always wear seat belts. Construct and interpret a 95% confidence interval for the proportion of adults who always wear seat belts.
The confidence interval is 0.028, 0.872
Given862 of 1013 randomly selected adults wear seat belts.
The 95% confidence interval for the proportion of adults who always wear seat belts.
What is confidence interval?A Confidence Interval is defined as a range of values we are sure our true value lies within it.
What is 95% confidence interval?A 95% confidence interval is defined as that if we take 100 different samples and compute a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean value.
= 862/1013 = 0.85
At a 95% confidence interval ,the critical value is [tex]z_{0.025} = 1.96[/tex]
The 95% confidence interval for proportion is
[tex]\widehat p +/- z0.025 * sqrt(\widehat p * (1 - \widehat p)/n)[/tex]
[tex]= 0.85 +/- 1.96 * sqrt(0.85 * (1 - 0.85)/1013)[/tex]
[tex]= 0.85 +/- 0.022[/tex]
= 0.028, 0.872
The sample should use at least 10 successes and 10 failures.
[tex]n * \widehat p = 1013 * 0.85 = 861 > 10[/tex]
[tex]n * (1 - \widehat p) = 1013 * 0.15 = 152 > 10[/tex]
As the sample size is larger, we can use an approximate formula for the standard error.
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Electricity bills: According to a government energy agency, the mean monthly household electricity bill in the United States in was . Assume the amounts are normally distributed with standard deviation . Use the TI-84 Plus calculator to answer the following. (a) Find the th percentile of the bill amounts. (b) Find the rd percentile of the bill amounts. (c) Find the median of the bill amounts. Round the answers to at least two decimal places
The 9th percentile of the bill amounts is 81.0634.
How to calculate the percentile?
Population mean, µ = 110.56
Population standard deviation, σ = 22
a) p = 0.09
Z score at p = 0.09 using excel = NORM.S.INV(0.09) = -1.3408
Value of X = µ + z*σ = 110.56 + (-1.3408)*22 = 81.0634
9th percentile = 81.0634
b) p = 0.66
Z score at p = 0.66 using excel = NORM.S.INV(0.66) = 0.4125
Value of X = µ + z*σ = 110.56 + (0.4125)*22 = 119.6342
66th percentile = 119.6342
c) Median = 0.50
Z score at p = 0.5 using excel = NORM.S.INV(0.5) = 0
Value of X = µ + z*σ = 110.56 + (0)*22 = 110.56
Median = 110.56
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What is the domain of the function shown in the
mapping?
Ox|x=-5, -3, 1, 2, 6}
O lyly=-9, -6, 0, 2, 4)
O {x|x=-9, -6, -5, -3, 0, 1, 2, 4, 6}
Oyly=-9, -6, -5, -3, 0, 1, 2, 4, 6}
Domain is the set of values for which the given function is defined. The correct option is A.
What is domain and range of a function?Domain is the set of values for which the given function is defined, therefore the are values that the function can take.
Range is the set of all values which the given function can produce an output.
Domain of a function is the range of the inputs which the function can take, therefore, the domain of the function shown in the mapping is,
x|x= -5, -3, 1, 2, 6}
Hence, the correct option is A.
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Shape R is reflected in
a) What are the coordinates of C'?
Then R' is translated by (-3)
-6
R
=
-5 -4 -3 -2 -1
b) What are the coordinates of C"?
Y
5+
4-
3-
2+
1
- 1 to give R'.
-1-
-2-
--3-
-4-
--5+
1
to give R".
2
3 4
sit
5
X
The new coordinates of C is (-5,2), (-5,5) (-7,3) (-7,5)
The correct question is
Shape R is reflected in x axis and is translated by (-3, 0) , What will be the coordinates of the new figure
The figure is attached with the answer.
What happens when a figure is reflected on an axis ?When a figure is reflected along any axis , the coordinate of the axis on which it is reflected remains the same while the other coordinate vis the additive inverse of the given coordinate
It is given that the coordinate point of R
(-2 ,-2) , (-2,-5) (-4,-3) (-4,-5)
When it is reflected along x axis the new coordinates are
(-2 , 2), (-2,5) (-4,3) (-4,5)
and when translated by -3,0
(-5,2), (-5,5) (-7,3) (-7,5)
Therefore the new coordinates of C is (-5,2), (-5,5) (-7,3) (-7,5)
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Which of the following values can be found by using the formula √1+cos^2 0?
Let's check
Remove root over and simplify 1+cot²Ø
1+cos²theta/sin²thetasin²Ø+cos²Ø/sin²Ø1/sin²Øcosec²ØPutting root over
cscØSin can be found also along with csc
A certain species of virulent bacteria is being grown in a culture. It is observed that the rate of growth of the bacterial population is proportional to the number present. If there were 1000 bacteria in the initial polulation and the number doubled after the first 30 minutes, how many bacteria will be present after 4 hours
Answer:
256,000
Step-by-step explanation:
If the culture doubles in size every 30 minutes, it doubles 2 times per hour. In 4 hours it will have doubled 2×4 = 8 times. Each doubling multiplies the number by 2, so 8 doublings will multiply the number by 2^8.
The population will be ...
1000×2^8 = 256,000 . . . bacteria present after 4 hours
Select the correct answer from each drop-down menu. one person working alone will take 30 days to paint an apartment. if d represents the number of days taken to complete the work and p represents the number of people working, the equation that represents this situation is . if 10 people work on this job, they take days to complete it.
It took 3 days to complete a work by 10 people.
What is Efficiency?
The efficiency is the output of the work which we divide by the work input and then express it in a percentage form.
Here, Efficiency of 1 person to complete a piece of work in 30 days is 1/30.
The number of days to complete the work = n days
Number of person to complete the work = p.
Now, according to question
Number of days to complete the work by 10 people = 30 / 10
= 3 days.
Thus, it took 3 days to complete a work by 10 people.
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HELP !
Which of the following best describes the slope of the line below?
• A. Negative
O B. Zero
• C. Positive
D. Undefined
Which of the following is not a good conductor of heat?
Use the drawing tools to form the correct answer on the graph. Graph the line that represents this equation: y=-5x+2
An equation is formed of two equal expressions. The graph for the given situation can be drawn as shown below.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.
The graph for the given equation y=-5x+2 can be drawn as shown below.
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Here's a graph of a linear function. Write the
equation that describes that function.
bad
Express it in slope-intercept form.
The equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}\\[/tex]
As we can see in the graph the line goes from (-6, 0) and (0, 3)
Finding the slope:
[tex]\rm m =\dfrac{3-0}{0-(-6)}\\[/tex]
m = 3/6 = 1/2
y = mx + c
y = (1/2)x + c
c is the y-intercept
c = 3
The equation:
y = (1/2)x + 3
Thus, the equation of the line in slope-intercept form is y = (1/2)x + 3 and the slope is 1/2.
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write 5 rational numbers between 1 and 2
Answer:
1.1, 1.2, 1.3, 1.4, 1.5 or 11/10, 12/10, 13/10, 14/10, 15/10
Explanation:
Rational numbers can be expressed as fractions (p/q), decimals, whole numbers, natural numbers, integers.
Some rational numbers between 1 and 2 are: -
1.05, 1.1, 1.15, 1.2, 1.3, 1.4, 1.5, 1.6, 1.7, 1.8, 1.9, 1.95, 1.97
Five rational numbers are
1.5=15/101.05=105/1001.007=10007/10001.3=13/101.03=103/100Is there an end to prime numbers?
[tex]\huge\purple{Hi!}[/tex]
Except for 2 and 5, all prime numbers end in the digit 1, 3, 7 or 9.
what is the volume of a cone if the height is 18 and the radius is 4
Answer:
V = 302
Step-by-step explanation:
Here, we have Radius(r)=4and Height(h)=18(Given)
l^2=r^2+h^2
l^2=42+182
l^2=340
l=18
Volume= πr2h/3
= 3.14159⋅42⋅18/3
= 302
Answer:
301.59289
Step-by-step explanation:
radius(r) = 4
height (h) = 18
we know,
volume of cone =
[tex]\pi \: {r \:}^{2} \frac{h}{3} [/tex]
[tex] \frac{22}{7} \: \times {4}^{2} \: \frac{18}{3} [/tex]
=301.59289
What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?
The measure of apothem is 1.75 cm.
The complete question is
The area of the regular octagon is 10.15 cm2.
What is the measure of the apothem, rounded to the nearest hundredth of a centimeter?
What is an Octagon ?A polygon with eight sides , eight angles and eight vertices is called an octagon.
If a is the Side of the octagon.
10.15 = 2(1+√2) a²
a² = 10.15 / [2×(1+1.414)]
a² = 2.10
a = 1.45 cm
Therefore the side = 1.45 cm
A = 8 × (a × h)/2
If we consider 8 equilateral triangles with
a = face of octagon
h = Apothem of octagon
10.15 = 8 × (1.45 × h)/2
h = 10.15 /4/ 1.45
h = 1.75 cm
Therefore the measure of apothem is 1.75 cm.
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tGive the values of a, b, and c from the standard form of the equation (2x + 1)(x - 2) = 0.
Answer:
a = 2
b = -3
c = -2
Step-by-step explanation:
The standard form of a quadratic equation:
ax² + bx + c = 0
…………………………
in order to determine the equation
in standard form ,we have to expand the given expression :
(2x + 1)(x - 2) = 2x² - 4x + x - 2
= 2x² - (4x - x) - 2
= 2x² - 3x - 2
Then the standard form is :
2x² - 3x - 2
What reason allows the following statement to be true?
Given Ð1 & Ð2 are a linear pair, then mÐ1 + mÐ2 = 180
Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.
What are supplementary angles?Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.
When two lines cross at a single point, a linear pair of angles is generated. If the angles are next to each other after the two lines intersect, they are considered to be linear pairs. The total of the angles of a linear pair is always 180°. These angles are also referred to as supplementary angles.
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Tamara wants to know how likely her bus is to be late.
She records the data over a month and finds it was late on
7 out of 25 times that she went to catch it.
Estimate the probability of the bus being late on any given day.
If she goes for the bus 20 times in the next month,
how often would she expect the bus to be late?
Step-by-step explanation:
if7=25
therefore??=20
Cross multiply
7 multiply 20 and then divide by 25
=28/5
5.6
round off it will be 6
hope it helps
Class A has 10 pupils and class B has 18 pupils. Both classes sit the same maths test. The mean score for class A is 34. The mean score for both classes is 55. What is the mean score (rounded to 2 DP) in the maths test for class B?
Answer:
Mean score for the class B is 66.66
Step-by-step explanation:
Mean : It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list.
Mean = sum of all numbers/ total numbers
Given,
mean score of class A = 34.
mean score of both the classes = 55
mean score of class a = sum of marks/total strength of class
34 = sum of marks/10
340 = sum of marks of class A
similarly, Mean score of both classes
= ( sum of marks of class A and class B)/(total students in both classes)
= (340 + sum of marks of class B)/ 28
55 = (340 + sum of marks of class B)/ 28
55 × 28 = (340 + sum of marks of class B)
1540 - 340 = sum of marks of students of class B
1200 = sum of marks of students of class B
now to find Mean score of class B
sum of marks of students of class B / total students in class B
1200/18 = 66.66 answer
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Im bad at composite figures || please hurry
The figure is the combination of trapezoid and square. Then the area of the figure will be 39 square meters.
The complete question is attached below.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The figure is the combination of trapezoid and square.
Then the area of the geometry will be
Area = Area of trapezoid + Area of square
Area = 1/2 x (3 + 9) x 5 + 3 x 3
Area = 30 + 9
Area = 39 square meters
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Does this graph represent a function? why or why not ?
Answer:
C- Yes, because it pases the vertical line test.
Step-by-step explanation:
It passes through one point exactly.
Select the correct answer. The function g(x) = x2 is transformed to obtain function h: h(x) = g(x) − 5. Which statement describes how the graph of h is different from the graph of g? A. The graph of h is the graph of g vertically shifted up 5 units. B. The graph of h is the graph of g horizontally shifted left 5 units. C. The graph of h is the graph of g vertically shifted down 5 units. D. The graph of h is the graph of g horizontally shifted right 5 units.
The graph of h(x) is the graph of g vertically shifted down 5 units. Then the correct option is C.
What is a function?Functions are found all across mathematics and are required for the creation of complex relationships.
The function g(x) = x² is transformed to obtain function h:
h(x) = g(x) − 5
h(x) = x² − 5
The graph h(x) get shifted downward by 5 units.
Then the correct option is C.
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1. A bus traveled for 4 hours and 30 minutes to travel 183 miles. What was it's average speed?
A. 42.56 mph
B. 40.67 mph
C. 32.09 mph
D. 30.67 mph
Answer:
B or 40.67mph
Step-by-step explanation:
To solve we will use formula distance over total time, so are distance is 183miles and are time is 4 hours and 30 minutes. If we put that in hours we get 4.5 hours. Now we simply divide 183/4.5 to get about 40.67 .
What is the solution set of -|-x| = -12?
O no solution
O {-12}
O {12}
O {-12, 12}
Answer:
12 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
[tex] - | - x| = - 12 \\ - x = - 12 \\ x = 12 \: \: \: or \: \: \: x = - 12 \\ [/tex]
Solution :{-12,12} so it's D
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