The probability that Kyle takes at least one purple ball is 0.9
What is probability?Probability is used to measure the likelihood of an event given a set of circumstances.
The probability that Kyle takes at least one purple ball is calculated by the formula P(A) = 1 – P(A’).
In this scenario, A is the event of taking at least one purple ball and A’ is the event of not taking any purple balls.
The probability of taking at least one purple ball (A) is calculated by subtracting the probability of not taking any purple balls (A’) from 1.
There are 20 balls in the bag, 18 of which are purple. This means the probability of not taking any purple balls (A’) is 2/20 = 0.1.
Therefore, the probability of taking at least one purple ball (A) is
1 – 0.1 = 0.9.
In conclusion, the probability that Kyle takes at least one purple ball is 0.9.
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A survey in Men’s Health magazine reported that 39% of cardiologists said that they took vitamin E supplements. To see if this is still true, a researcher randomly selected 100 cardiologists and found that 36 said that they took vitamin E supplements. At α = 0.05, test the claim that 39% of the cardiologists took vitamin E supplements. A recent study said that taking too much vitamin e might be harmful how might this study make the results of the previous study invalid?
Answer:
\(z=\frac{0.36 -0.39}{\sqrt{\frac{0.39(1-0.39)}{100}}}=-0.615\)
The p value for this case would be:
\(p_v =2*P(z<-0.615)=0.539\)
For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39
Step-by-step explanation:
Information given
n=100 represent the random sample taken
X=36 represent the number of people that take E supplement
\(\hat p=\frac{36}{100}=0.36\) estimated proportion of people who take R supplement
\(p_o=0.39\) is the value that we want to test
\(\alpha=0.05\) represent the significance level
z would represent the statistic
\(p_v\) represent the p value
Hypothesis to test
We want to test if the true proportion is equatl to 0.39 or not, the system of hypothesis are.:
Null hypothesis:\(p=0.39\)
Alternative hypothesis:\(p \neq 0.39\)
The statistic is given by:
\(z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}\) (1)
Replacing the info we got:
\(z=\frac{0.36 -0.39}{\sqrt{\frac{0.39(1-0.39)}{100}}}=-0.615\)
The p value for this case would be:
\(p_v =2*P(z<-0.615)=0.539\)
For this case since the p value is higher than the significance level we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion is not different from 0.39
Your research of competitors shows prices of $45, $78, $13, $125, and $66. If you throw out the
highest and lowest data points (outliers), what is the mean of the remaining prices?
Answer:
1. 63 or
2. 37.8
step-by-step explanation:
1. $125,$78, $66, $45, $13 take out $125 and $13 then add $78, $66, $45 and you get $189 then divided by 3 and you $63
2.$125,$78, $66, $45, $13 take out $125 and $13 then add $78, $66, $45 and you get $189 then divided by 5 and you $37.8
Answer:
ITS 63
Step-by-step explanation:
JUST DID DA TEST CUZ
Question 10: The graph below shows a company's profits f(x), in dollars, depending on the price of 8.01 & 8.04
pens x, in dollars, sold by the company.
Part A (2pts): Highlight your answer below
150
90
00
30
f(x)
What does the maximum value represent?
A The point where no profit is made
B.
C.
D.
The point where the most profit is made
The point where the most pens are made
The point where no pens are made.
Part B (2 pts) Highlight/circle your answer What do the x-intercepts represent?
A.
The price per pen where the most profit is made
B.
The price per pen where no profit is made.
C.
D.
The point where the most pens are made.
The point where no pens are made.
Part C (3 pts): What is an approximate average rate of change of the graph from
x=3 to x = 6? Show your work.
Part D (3 pts) Drag & Drop into the blanks to describe the constraints of the
domain.
The domain of this graph given the situation is
because
beyond those points.
+
Z
The x-intercepts represent a zero profit, the maximum value of the graph represents the maximum profit, An approximate average rate of change of the graph from x=3 to x=5 represents the reduction in profit from 3 to 5 and the domain is constrained by x=0.
Part A:
The x-intercepts represent a zero profit.
The maximum value of the graph represents the maximum profit.
The function increases up till the vertex and decreases after it.
This means that the profit increases as it reaches the peak at the vertex.
It decreases after the vertex up till it reaches zero.
On the left of the first zero and on the right of the second zero, the profits are negative.
Part B:
An approximate average rate of change of the graph from x=3 to x=5 represents the reduction in profit from 3 to 5.
Part C:
Simply, the domain is constrained by x=0.
We are obliged at x=6 .
This is because we have to avoid a negative profit.
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It takes 24 minutes for a pump to empty a tank. A larger pump can empty the tank in half the time. How long would it take to empty the tank with both pumps operating?
A right rectangular prism is sliced perpendicular to its base.
What is the shape of the resulting two-dimensional cross section?
A- RECTANGLE
B- TRAPEZOID
C- TRIANGLE
the shape of the resulting two-dimensional cross section is A- RECTANGLE.
Define right rectangular prismA right rectangular prism, also known as a rectangular cuboid, is a three-dimensional geometric figure that has six faces, all of which are rectangles. The faces of a right rectangular prism are arranged in pairs such that each pair of opposite faces has the same dimensions and is parallel to the other.
The shape of the resulting two-dimensional cross section of a right rectangular prism sliced perpendicular to its base will always be a rectangle.
This is because a rectangular prism has a rectangular base and all the cross sections perpendicular to the base will have the same shape as the base, which is a rectangle.
Therefore, the correct answer is A- RECTANGLE.
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Help me please you’ll earn points
The attached diagram represents the required line plot
How to plot the line plot?From the table, we have the following frequency table:
Minutes spent Frequency
25 1
25 1/2 2
26 1
27 1/2 1
27 3/4 1
28 1/4 1
28 1/2 2
29 1
Total 10
Using the above frequency table, we can now plot the line plot
See attachment for the line plot
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3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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the correct answer.
Which inequality represents the values of that ensure triangle ABC exists?
A
2x+4
B
O D.
18
OA.
<< 1
OB. -< < ¹
O c. 1 < x < 5
6x
2 < < 6
Using the triangular inequalities we can get:
7/4 < x < 11/2
The image of the triangle is in the image at the end.
Which inequality represents the values of that ensure triangle ABC exists?A triangle with sides A, B, and C must meet the triangular inequality, it says that the sum of any two sides is larger than the other side.
Now, see the triangle attached at the end, the triangular inequalities say that:
18 + 6x > 2x + 4
18 + 2x + 4 > 6x
6x + 2x + 4 > 18
Now simplify these, for each one we will get:
4x > -14 -----> x > -7/2
22 > 4x -----> 11/2 > x
8x > 14 -----> x > 7/4
Using the second two we can get:
7/4 < x < 11/2
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Correct answer gets brainliest
Answer:
D. its a two dimensional object
Answer:
A. It is a polygon
C. It is a one-dimensional object
The shape is a polygon in two dimensions since a polygon must have at least three straight sides.
What is the length of CB on the number line?
A 1
B −2
C −3
D 3
Almonds are sold in 8-ounce and 20-ounce packages. What is the least number of ounces you can buy of each package to have equal amounts of each package size?
The least number of ounces you can buy of each package to have equal amounts of each package size is ounces
Answer:
40
Step-by-step explanation:
\(8=2^3 \\ \\ 20=2^2 \times 5 \\ \\ \lcm(8,20)=2^3 \times 5=40\)
In a diagram, ∠A and ∠B are vertical angles, and ∠B is a complementary angle with ∠C. If ∠A=22°, write an equation that you can use to solve for ∠C.
Answer:
22° + m<C = 90°
Step-by-step explanation:
Pre-SolvingWe are given that <A (which is equal to 22°) and <B are vertical angles, and that <B is complementary to <C.
We want to write an equation that will help us solve <C.
SolvingRecall that vertical angles are congruent by vertical angles theorem.
This means that <A ≅ <B; it also means that the measure of <B is also 22°.
Also recall that complementary angles add up to 90°.
This means that m<B + m<C = 90°.
Since we deduced that m<B is 22°, we can substitute that value into the equation.
Hence, an equation that can be used to solve for <C is:
22° + m<C = 90°
stacy has a square piece of cloth. she cuts 3 inches off the width. the area of the smaller square is 1/4 the area of the original square. what was the side length of the original square A=s^
The original side length of the square is 6 inches.
What was the original side length?Let's say that the original side length is S, then the original area is:
A = S²
If we cut 3 inches of the side length, then the new area is:
a = (S - 3)²
And this is 1/4 of the original area, so we can write the equation:
(S - 3)² = (1/4)*S²
Expanding it we will get:
S² - 6S + 9 = (1/4)*S²
4S² - 24S + 36 = S²
3S² - 24S + 36 = 0
So we have a quadratic equation to solve
Using the quadratic formula we will get:
\(S = \frac{24 \pm \sqrt{(-24)^2 - 4*3*36} }{2*3} \\\\S = \frac{24 \pm 12}{6}\)
The positive answer is the one that makes sense (we could not take 3 inches if we take the other one)
S = (24 + 12)/6 = 6
The original side length is 6 inches.
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what is the greatest common factor for 9 and 27
to find GCF
factor:
9: 1, 3, 9
27: 1, 3, 9, 27
GCF = 9
prime factorization
9: 3 x 3
27: 3 x 3 x 3
GCF = 3² = 9
Is -3/4 greater or less than -.75
Answer:
they're equal
Step-by-step explanation:
Given the following, determine the set (B n C)'.
U= {x|x EN and x < 10}
B = {x|x EN and x is even and x< 10}
C = {x|x E N and x < 10}
Answer:
Step-by-step explanation:
U={x|x∈N and x<10}
or U={1,2,3,4,5,6,7,8,9}
B={x|x∈N and x is even and x<10}
or
B={2,4,6,8}
C={x|x∈N and x<10}
or
C={1,2,3,4,5,6,7,8,9}
(B∩C)={2,4,6,8}
(B∩C)'={1,3,5,7,9}
identifica a que propiedad pertenece 9 a -3 potencia
We are asked to identify which properties of exponent to apply in order to reduce the expression:
\(9^{-3}\)This is the property associated with negative exponents that include the fact that we are dealing with a division:
\(a^{-n}=\frac{1}{a^n}\)This is the negative exponent property, so for our case we write;
\(9^{-3}=\frac{1}{9^3}=\frac{1}{729}\)SO find the property I am higlighting in the image below:
Let Xi = (i =1,2,3) be independently and normally distributed random variable with mean of 4 as variance i. state the distribution of the following random variable
i) V = X1+X2+X3
The sum of normally distributed random variables is also a normally distributed random variable.
Given \(n\) random variables with \(X_i\sim\mathrm{Normal}(\mu_i,\sigma_i^2)\), their sum is
\(\displaystyle\sum_{i=1}^n X_i \sim \mathrm{Normal}\left(\sum_{i=1}^n \mu_i, \sum_{i=1}^n \sigma_i^2\right)\)
i.e. normally distributed with mean and variance equal to the sums of the means and variances of the \(X_i\).
In this case, each of \(X_1,X_2,X_3\) are normally distributed with \(\mu=4\) and \(\sigma^2\) = ... I'm not sure what you meant for the variance, so I'll keep it symbolic. Then
\(V = X_1+X_2+X_3 \sim \mathrm{Normal}(12, 3\sigma^2)\)
If a good or service has only one seller, it is called an oligopoly.
Answer:
no
oligopolistic firms are like cats in a bag
they arises when small number of large firms have all or most of the sale
If a good or service has only one seller it is called monopoly
how can I solve this?
Answer:
Do you ask G or H?I answered two G=34° ,H=34°
Which model shows a ratio of 1 white to 2 blue?
3 blue squares and 6 white squares.
4 blue squares and 4 white squares.
4 blue squares and 4 white squares.
6 blue squares and 3 white squares.
Answer:
3 blue squares and 6 white squares
Step-by-step explanation:
1 x 3 = 3
2 x 3 = 6
The answer is 3 to 6.
3 to 6 can be represented by 3 blue squares and 6 white squares.
Answer:
It is the last one. Hope this helps (:
Step-by-step explanation:
Which statement about a quadrilateral is true?
Responses
A. All rectangles are squares.
B. A rhombus has exactly one pair of parallel sides.
C. A trapezoid has two pairs of parallel sides.
D. Some rhombuses have four right angles.
The statement which is true about the quadrilateral is D. Some rhombuses have four right angles.
Quadrilaterals are four sided polygons which also have four vertices and four angles.
Sum of all the interior angles of a quadrilateral is 360 degrees.
Rectangles, squares, trapezium, parallelogram, rhombus are all quadrilaterals.
A. All squares are rectangles but all rectangles are not squares, since for squares, all sides need to be equal.
But for a rectangle, opposite sides only need to be equal.
B. A rhombus has all the sides equal and opposite sides are parallel.
So there are 2 pairs of parallel sides.
C. A trapezoid can have only one pair of sides parallel.
D. Some rhombuses have four right angles.
This is true since square is a rhombus and it has 4 right angles.
Hence the true option is D.
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-Solve the system. y - 10=3x
(2y=6x+20
infinite solutions
no solution
(10,40)
(2,13)
Step-by-step explanation:
\(y = 3x + 10......eq3 \\ 2(3x + 10) = 6x + 20 \\ 6x + 20 = 6x + 20\)
you can see that coming across that complication where the eqaution is balanced there is no solution for x and y fir those systems of equations.
Solve for y.
-1 = 2y-5
Simplify your answer as much as possible.
y =
Answer:
2
Step-by-step explanation:
\(-1=2y-5 \\ \\ 4=2y \\ \\ y=2\)
Which sum is equal to 8 /12?
Answer:
2 3
Step-by-step explanation:
The following graph represents the function f(x). Sketch and label the following functions on the same coordinate plane
Answer:
It's in the attachment
hope it helps...
have a great day!!
helppppppppp plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
B
Step-by-step explanation:
) 65 people were asked on the activities they engage in during their free time. The results showed that 23 visit national parks, 26 engage in cycling while 22 engage in swimming. Furthermore 9 engage in swimming and visit national parks, 9 engage in swimming only while 11 visit national parks only. How many engage in
i. Swimming and cycling
Answer:
Step-by-step explanation:
i am working on the assumption that nobody does all three of them
i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.
the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.
so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4
NEED HELP ASAP WILL GIVE BRAINLIEST NO LINKS!
Step-by-step explanation: in the picture
please give me a brainliest answer
If the random variable x is normally distributed with a mean equal to .45 and a standard deviation equal to .40, then P(x ≥ .75) is:
If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.
What is a Z-score?A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.
Given the problem above, we need to find what the z-score is when P(x ≥ .75).
The formula for calculating a z-score is given by:
\(Z=\dfrac{\text{x}-\mu}{\sigma}\)
Where:
x is the value of 0.75\(\mu\) is the mean of 0.45And \(\sigma\) is the standard deviation of 0.40Now,
\(Z=\dfrac{\text{x}-\mu}{\sigma}\)
\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)
\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)
\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)
\(Z=1 - 0.077337\)
\(Z\thickapprox 0.9227\)
Therefore, the z-score of P(x ≥ .75) is 0.9227.
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