Answer:
216
Step-by-step explanation:
120 divided by 6 equals 20 so 100 divided by 6 equal 16
Question 4 of 10
Suppose the tree diagram below represents all the students in a high school.
and that one of these students were chosen at random. If the student is
known to be a girl, what is the probability that the student is right-handed?
Boys
200
Girls
300
50
150
50
250
Left-
handed
Right-
handed
Left-
handed
Right-
handed
Answer:
5/6
Step-by-step explanation:
Solve for x.
Show work
Answer:
x=11.34
Step-by-step explanation:
Use the grouping method to factor this polynomial completely.
4x³ + 8x²+3x+6
O A. (4x2 + 2)(x+3)
OB. (4x2+2)(x+2)
O C. (4x²+3)(x+3)
D. (4x² + 3)(x + 2)
Answer:
D. \((4x^2 + 3)(x + 2)\)
Step-by-step explanation:
Hello!
We can group the first two terms and the last two terms and factor each group.
Factor by Grouping\(4x^3 + 8x^2 + 3x + 6\)\((4x^3 + 8x^2) + (3x + 6)\)\(4x^2(x + 2) + 3(x + 2)\)Now we can combine the like factors:
\((4x^2 + 3)(x + 2)\)The answer is Option D.
WILL GIVE BRAINLIEST ONLY IF RIGHT! Isabella grows several varieties of pepper plants. The following dot plots show the numbers of peppers, rounded to the nearest 5, per plant for different varieties. Each dot represents a different plant.
Order the varieties from least to greatest the typical number of peppers per plant.
Put the graph with the least typical value on top.
Answer:
In photo
Step-by-step explanation:
Answer:
Step-by-step explanation:
A parallelogram is transformed according to the rule (x, y) → (x, y). Which is another way to state the transformation?
R0, 90°
R0, 180°
R0, 270°
R0, 360°
Answer:
C. R0, 270°
Step-by-step explanation:
Since one rotation is 90 degrees, hence another way to state the transformation is R0, 270°
What is transformation?A transformation is a technique that is used to change the position of a figure in a xy-plane. These transformation techniques are dilation, reflection, translation, and rotation.
For the transformations process (x, y) ) → (x, y). This shows that the initial coordinate must have rotated 3 times across the x and y-axis
Since one rotation is 90 degrees, hence another way to state the transformation is R0, 270°
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Twenty years ago, 51% of parents of children in high school felt it was a
serious problem that high school students were not being taught
enough math and science. A recent survey found that 232 of 700
parents of children in high school felt it was a serious problem that high
school students were not being taught enough math and science. Do
parents feel differently today than they did twenty years ago? Use the
α = 0.1 level of significance
No the parents do not feel differently as they used to feel twenty years ago
Given :-
Po: p=0.46
Pa: p NE 0.46
alpha=0.01
Test statistic is one sample proportion \(z=(phat-p)/\sqrt{{ {0.46)(0.54)/800}}\)
Critical value z> |2.576|
z=0.025/0.0176
=1.418
This is a p-value of 0.078
Fail to reject Po and insufficient evidence to support the claim that parents feel differently.
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estion
The graph shows the quadratic function f, and the table shows the quadratic
function g.
-4 -2
f(x)
44
2
2
4
➜
2
4
x
x
-5 -4 -3 -2 -1
g(x) 10 7 6 7
6 7 10 15 22
0 1
Answer:
look in the comments and have a good day
On a standardized exam, the scores are normally distributed with a mean of
195 and a standard deviation of 50. Find the z-score of a person who scored
330 on the exam.
The z-score of a person who scored 330 on the exam is approximately 2.7.
To find the z-score of a person who scored 330 on the exam, we can use the formula for calculating the z-score:
z = (x - μ) / σ
where:
z is the z-score
x is the raw score (330 in this case)
μ is the mean (195 in this case)
σ is the standard deviation (50 in this case)
Substituting the values into the formula, we get:
z = (330 - 195) / 50
z = 135 / 50
z = 2.7
The z-score of a person who scored 330 on the exam is 2.7.
The z-score measures the number of standard deviations a particular data point is away from the mean.
In this case, a z-score of 2.7 indicates that the person's score of 330 is 2.7 standard deviations above the mean score of 195.
The z-score is useful for comparing data points across different normal distributions or for determining the relative position of a data point within a distribution.
A positive z-score indicates a value above the mean, while a negative z-score indicates a value below the mean.
In this context, a z-score of 2.7 suggests that the person's score is relatively high compared to the average performance on the exam.
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Using log evaluate 3^x=10
Answer:
x ≈ 2.09590327429
Step-by-step explanation:
You want the solution to 3^x = 10 using logarithms.
LogsTaking logarithms of both sides of the given equation, we have ...
x·log(3) = log(10)
Dividing by the coefficient of x gives ...
x = log(10)/log(3)
x ≈ 2.09590327429
__
Additional comment
If the logarithm to the base 10 is used, then this becomes ...
x = 1/log₁₀(3)
The meaning of "log( )" varies with the context. In high-school algebra, it usually means "log₁₀( )". In other contexts, it may mean "ln( )", the natural logarithm.
For the purpose here, it doesn't matter what base the logarithms have, as long as log(10) and log(3) are to the same base.
<95141404393>
The approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
To evaluate the equation 3^x = 10 using logarithms, we can take the logarithm of both sides of the equation. The most commonly used logarithm is the base 10 logarithm, also known as the common logarithm (log).
Taking the log of both sides, we get:
log(3^x) = log(10)
Now, we can apply the logarithmic property that states log(a^b) = b * log(a). Applying this property to the left side of the equation:
x * log(3) = log(10)
Next, we can divide both sides of the equation by log(3) to isolate the variable x:
x = log(10) / log(3)
Using a calculator, we can evaluate the right side of the equation:
x ≈ 1.46497
Therefore, the approximate value of x that satisfies the equation 3^x = 10 is approximately 1.46497.
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The angle of elevation of the top of a cliff from the point Q on the ground is 30°. On moving a distance of 20
m towards the foot of the cliff the angle of elevation increases to xº. If the height of the cliff is 17.3 m, then
find xo
On moving a distance of 20m towards the foot of the cliff the angle of
elevation increases to 60° .
The situation forms 2 right angle triangle.
The height of the cliff is the opposite side of the 2 triangles formed.
Using trigonometric ratio, the bigger triangle can be represented as
follows:
tan 30 = opposite / adjacent
Let the distance from point Q to the foot of the cliff be d.
Therefore,
tan 30° = 17.3 / d
d = 17.3 / tan 30
d = 17.3 / 0.57735026919
d = 29.9644789709
d ≈ 30 m
Let's find the new angle when he moves 20 m towards the foot of the cliff.
The smaller triangle formed is used to find the new angle.
Therefore,
The new distance from the foot of the cliff (adjacent side) = 30 - 20 = 10 m
tan x° = 17.3 / 10
tan x° = 1.73
x = tan ⁻¹ 1.73
x = 59.9705982385
x ≈ 60°
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Given the equation 3x + 7 = -4, which
property will you do first?
Division Property of Equality
Multiplication Property of Equality
Subtraction Property of Equality
Addition Property of Equality
Answer:
Subtraction Property of Equality
Step-by-step explanation:
you should subtract both side with 7 first.
22. What is the average(arithmetic mean) of all the integers
from -39 to 40, inclusive?
This range contains 80 numbers (40 in 1-40, and another 40 in -39-0).
We have
S = 1 + 2 + 3 + … + 38 + 39 + 40
S = 40 + 39 + 38 + … + 3 + 2 + 1
==> 2S = (1 + 40) + (2 + 39) + … + (39 + 2) + (40 + 1)
==> 2S = 40 × 41
==> S = 820
and
T = 0 + 1 + 2 + … + 37 + 38 + 39
T = 39 + 38 + 37 + … + 3 + 2 + 1
==> 2T = (0 + 39) + (1 + 38) + … + (38 + 2) + (39 + 0)
==> 2T = 40 × 39
==> T = 780
The average of the numbers in this range is equal to the total divided by the amount of numbers in the range, so
average = (40 + 39 + … + 1 + 0 + (-1) + … + (-38) + (-39))/80
average = (S - T )/80
average = (820 - 780)/80
average = 40/80 = 1/2
In 2012, 1,664,479 students took the SAT exam. The distribution
of scores in the verbal section of the SAT had a mean μ = 496 and a
standard deviation of o= 114.
Let X = a SAT exam verbal score section for 2012.
Then X-N (496, 114)
Find the z-scores for x1 = 325 and x2= 366.21.
Interpret each z-score.
What can you say about the x1= 325 and the x2= 366.21?
By using normal distribution of probability, it can be inferred that
For \(x_1 = 325\), z = -1.5
This means 325 is 1.5 standard deviation below the mean.
For \(x_2 = 366.21\), z = -1.1385
This means 366.21 is 1.1385 standard deviation below the mean.
\(x_1 = 325\) is 1.5 standard deviation below the mean.
\(x_2 = 366.21\) is 1.1385 standard deviation below the mean.
What is normal distribution of probability?
Normal distribution of probability is a continuous type probability distribution whose probability density function is given by-
\(f(x) = \frac{1}{\sigma \sqrt{2\pi}}}e^{-\frac{z^2}{2}\)
where \(z = \frac{x - \mu}{\sigma}\), \(\mu\) is the mean and \(\sigma\) is the standard deviation.
For \(x_1 = 325\)
\(z = \frac{325 - 496}{114} = -1.5\)
This means 325 is 1.5 standard deviation below the mean.
For \(x_2 = 366.21\)
\(z = \frac{366.21 - 496}{114}\) = -1.1385
This means 366.21 is 1.1385 standard deviation below the mean.
\(x_1 = 325\) is 1.5 standard deviation below the mean.
\(x_2 = 366.21\) is 1.1385 standard deviation below the mean.
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In the box, type the number that correctly completes the sentence.
A book cost $8.98. Kaitlyn needs $
to buy three books.
Which fraction is closest to 1/2
?
The fraction which is closest to 1/2 is, 3/8. So option B is correct
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
Given that,
A fraction number 1/2
In decimal form = 0.5
Closest fraction number = ?
Most closest number is that number from which we subtract the given number and the magnitude of result we get is very less,
Lets take, A fraction 1/6
In decimal form it can written as, 0.167
Difference 1 = 0.5 - 0.167
= 0.333
Similarly, For numbers 3/8, 3/4, -1/2
Difference 2 = 0.5 - 0.375 = 0.125
Difference 3 = 0.5 - 0.75 = -0.25
Difference 4 = 0.5 - (-0.5) = 1.0
It can be seen that,
Magnitude of difference in case of 3/8 is very less
Hence, the closest number is 3/8
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How do you say 9.876?
Answer:
nine point eight hundred seventy six....hope u got, babes...
5+7.(9-4)
5+7=11
11×5=55
Answer: itz 605
Step-by-step explanation:
Han has some jars. He put 3/4 cup of grape jam in each jar, using a total of 6 3/4 cups. How many jars did he fill?
Answer:
9
Step-by-step explanation:
Hans put 3/4 cups of grape jam in each jar
He used a total of 6 3/4 cups
Therefore the number of jars he filled can be calculated as follows
= 6 3/4 ÷ 3/4
= 27/4 ÷ 3/4
= 27/4 × 4/3
= 27/3
= 9
Hence 9 jars can be filled
2 step equations digital scavenger hunt please
Answer:
What do you mean
Step-by-step explanation:
Explain in comments
Help me with this problem pleaseeee
Answer:
Step-by-step explanation:
in a square pyramid the base area plus the area of the triangular faces is equal to the total area so we take (9*5) *1/2=22.5 then we multiply 22.5 *4= 90 so we take 90 + 5*5 = 115 so the total area is 115
Decide if the expression is positive or negative. Explain in words how you know, please.
-11 x (2/3) and -11 x (-2/3)
Step-by-step explanation:
The first expression is :
\(-11\times \dfrac{2}{3}\)
Numerator = -11×2 = -22
Denominator = 3
So, answer will be :
\(-11\times \dfrac{2}{3}=\dfrac{-22}{3}\) (negative)
The second expression is:
\(-11\times \dfrac{-2}{3}\)
Numerator = -11×-2 = 22
Denominator = 3
So, the answer will be :
\(-11\times \dfrac{-2}{3}=\dfrac{22}{3}\) (positive)
Hence, this is the required solution.
-10 = 5/4x solve for x
Answer:
-8
Step-by-step explanation:
to isolate x you have to divide both sides by 5/4 and -10/(5/4) is -8
Question
8 - (-7) =
Plz help me!!!
Answer:
8-(-7)=
8(7)=
8+7=15
Step-by-step explanation:
prove me wrong
How many 1/8 foot long wooden pegs can be cut from a plank that is 3/4 foot long?
Answer:
6 pegs can be cut.
Answer:
24
Step-by-step explanation:
!=1
A geometric sequence has only positive terms. The third term is 100 and the eighth term is 3.125.
Find the common ratio.
The common ratio of a geometric sequence will be;
⇒ r = 5 / 10
What is Geometric sequence?
An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
In a geometric sequence,
The third term is 100 and the eighth term is 3.125.
Now,
We know that;
The nth term of geometric sequence is,
⇒ \(T_{n} = a r^{n - 1}\)
Hence, The third term is;
⇒ \(T_{3} = a r^{3 - 1} = 100\)
⇒ \(a r^{2} = 100\) ..(i)
And, The eighth term is,
⇒ \(T_{8} = a r^{8 - 1} = 3.125\)
⇒ \(a r^{7} = 3.125\) ..(ii)
Divide equation (ii) by (i), we get;
⇒ ar⁷ / ar² = 3.125/100
⇒ r⁷ / r² = 3125 / 100000
⇒ r⁷⁻² = 3125 / 100000
⇒ r⁵ = 3125 / 100000
⇒ r = 5/10
Thus, The common ratio of a geometric sequence will be;
⇒ r = 5 / 10
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Solve for x.
OA. 9
OB. 1
OC. 4
OD.7
The value x in the secant line using the Intersecting theorem is 4.
What is the value of x?Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.
From the figure:
First sectant line segment = ( x - 1 ) + 5
External line segment of the first secant line = 5
Second sectant line segment = ( x + 2 ) + 4
External line segment of the second secant line = 4
Using the Intersecting secants theorem:
5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )
Solve for x:
5( x - 1 + 5 ) = 4( x + 2 + 4 )
5( x + 4 ) = 4( x + 6 )
5x + 20 = 4x + 24
5x - 4x = 24 - 20
x = 4
Therefore, the value of x is 4.
Option C) 4 is the correct answer.
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Mr Zuro finds the mean height of all 13 students in his statistics class to be 68.0inches. Danielle walks in late. Danielle is 72.2 inches tall. What is the mean height of the 14 students in the class
Answer:
l don't no the answer
sorry
A can of beans has a diameter of 8.2 cm and a height of 13cm. What is the volume of the can of beans (to the nearest tenth of a cubic centimeter)?
Answer:
approx. 686.5 \(cm^3\)
Step-by-step explanation:
Formula for the volume of a cylinder:
\(V=\pi r^2 h\)
r is the radius of the base, and h is the height.
h = 13 cm
The radius is half the diameter
r = d/2 = 8.2 / 2 = 4.1 cm
Putting these values into our equation:
\(V=\pi *4.1^2 * 13 = \pi * 16.81 * 13 = \pi * 218.53\)
\(\pi * 218.53\) ≈ 686.5 \(cm^3\)
Answer: approx. 686.5 \(cm^3\)
What is the slope of the line graphed below?
(3, 3) (0,-6)
Answer:
3
Step-by-step explanation:
Use this equation
\(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) substitute
-6-3/0-3 subtract
-9/-3 simplify
-3/-1 two negitives cansle out
3/1=3
Hope this helpes, if it did, please consider giving me brainliest, it will help me a lot. If you have any questions, feel free to ask.
Have a good day! :)
Answer:
3
Step-by-step explanation:
To find the slope, we use the slope formula
m= ( y2-y1)/(x2-x1)
= ( -6 -3)/(0 -3)
= -9/-3
= 3
Jimmy's lunch box in the shape of a half cylinder on a rectangular box.
Find the total volume of metal needed to manufacture it
Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts
Step-by-step explanation: