Using the normal distribution, it is found that there is a 0.877 = 87.7% probability of a bulb lasting for at most 569 hours.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 540, \sigma = \sqrt{625} = 25[/tex]
The probability of a bulb lasting for at most 569 hours is the p-value of Z when X = 569, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{569 - 540}{25}[/tex]
Z = 1.16
Z = 1.16 has a p-value of 0.877.
0.877 = 87.7% probability of a bulb lasting for at most 569 hours.
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The width of a rectangle is 32 inches shorter than twice its length. The area of the rectangle is 72 square inches. What is the length of the rectangle?
Answer:
18 inches
Step-by-step explanation:
Equation is (2x-32)(x)=72, where x represents length and (2x-32) represents the width. When you simplify the equation, it ends up as 2x^2-32x-72=0. After factoring, you get 2(x-18)(x+2). Since x cannot be negative, it would therefore be 18. If you plug it back into the equation, you can see that it is right :)
Tempest graphs a function that has a maximum located at (-4, 2). Which could be her graph?
What are the coordinates of the turning point of the parabola whose equation is
y = x² - 4x + 48
(1) (2.0) (2) (-2, 16)
(3) (2,-4)
(4) (-2,0)
What is the equation for the axis of symmetry for: y = -x² - 2x-1
(1) x= 1 (2) X=-1
(3) y = 1
(4) y = -1
If the roots of a quadratic equation are -2 and 3, the equation can be written as:
1) (x-2)(x+3) = 0
3) (x + 2)(x + 3) = 0
2) (x + 2)(x-3) = 0
4) (x-2)(x-3) = 0
The equation of the axis of symmetry of the graph of y=2x2-3x+7 is
3
3
3
3
(1) X
(2) y=-
(3) X=-
(4) y=-
4
2
2
Ex7: What are the vertex and axis of symmetry of the parabola shown in the graph below?
(1) Vertex (1. 6); axis of symmetry: y=1
(2) Vertex (1, 6); axis of symmetry: x = 1
(3) Vertex (6, 1); axis of symmetry: y = 1
(4) Vertex (6, 1); axis of symmetry: x = 1
i really hope this helps :))))
Kindly solve all the questions below .
I'll give the brainliest
(4)
1. 11.444 repeater
2. 0.58333 repeater
3. 6.7333 repeater
4. 27.5454 repeater (on both 5 and 4)
5. 1.482517482517 (482517 repeater)
6. 2.285714285714 (285714 repeater)
7. 7.5666 repeater
8. 60.60606060 (60 repeater)
(5)
1. 0.666 (repeater)
2. 0.3666 (repeater)
3. 1.1818181818 (18 repeater)
4. 0.418181818 (18 repeater)
Please I need help ASAP
Answer: 50 mg
Step-by-step explanation:
Substituting into the half-life formula, we get that
[tex]N(t)=800\left(\frac{1}{2} \right)^{t/25}[/tex]
So, after 100 years,
[tex]N(100)=800\left(\frac{1}{2} \right)^{100/25}=\boxed{50 \text{ mg}}[/tex]
Write an equation that represents a relationship between the independent and dependent quantities from the table. Identify the relationship as additive or multiplicative and explain your reasoning.
x y
-4 8
2 -4
6 -12
9 -18
Previously, an organization reported that teenagers spent 4.5 hours per week, on average, on the phone. The organization thinks that, currently, the mean is higher. Fifteen randomly chosen teenagers were asked how many hours per week they spend on the phone. The sample mean was 4.75 hours with a sample standard deviation of 2.0. Conduct a hypothesis test.
The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1. The hypothesis can not be concluded.
What is Standard normal distribution?The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.
For the given problems, the Hypothesis mean is 4.5. The sample mean was 4.75 hours with a normal standard deviation of 2.0.
Now, calculating the z-score,
[tex]z = \dfrac{\bar x - \mu_o}{\dfrac{\sigma}{\sqrt n}}\\\\\\z = \dfrac{4.75-4.5}{\dfrac{2}{\sqrt{15}}}\\\\\\z = 0.48[/tex]
Now, as per the standard normal table, the p-value is 0.6844. Since the p-value is greater than the significance level, the hypothesis can not be concluded.
Hence, The hypothesis can not be concluded.
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Which number produces an irrational number when added to 1/3 ?
A. -1/7
B. 2.4494897
C. 0.464646
D. Square root 9
what is the perimeter of the square ABCD?
Answer:
P= 4a would be the answer
Which measure of central tendency is the most affected by outliers
Median
Mean
Midrange
Mode
(Is it the mean or midrange?)
Mean measure of central tendency is the most affected by outliers. Then the correct option is B.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
Mean measure of central tendency is the most affected by outliers.
Then the correct option is B.
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Question 17
Consider the equation y = 15 - 4x.
Which of the following is a graph of this equation?
The graph of the given linear equation is the one that you can see below.
How to get the graph of the linear equation?
To graph lines, we need to get two points on the line. To get the points, we can evaluate the line in two different values of x. Here I will use x = 1 and x = 0.
For x = 0 we have:
y = 15 - 4*0 = 15
So we have the point (0, 15).
For x = 1 we have the point:
y = 15 - 4*1 = 11
So we have the point (1, 11).
Now we need to graph these two points and connect them with a line, you will get the graph that you can see below.
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What is the square root of 121 ?
Answer:
√121 = 11
Explanation:
11 × 11 = 121
Answer:
11
Step-by-step explanation:
The square root of 121 is 11.
= 11*11 = √(121)
= 121 = 11
done
A bag contains 2 red, 5 blue, and 3 green marbles. A marble is chosen at random. What is the probability of NOT choosing a red marble
Step-by-step explanation:
Number of red = 2Number of blue = 5Number of green = 3total number of marbles = 10probability of not choosing a red marble = 1--choosing a red marble.Because probability is always one(1).
Probability =
[tex]1 - \frac{2}{10} [/tex]
[tex] \frac{8}{10} [/tex]
[tex] \frac{4}{5} [/tex]
Is the probability of not choosing a red marble.
A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or French fries. He uses a computer program to randomly select three dishes for Monday’s lunch.
What is the theoretical probability that applesauce and broccoli will both be offered on Monday?
10%
20%
50%
80%
Answer:
20%
Step-by-step explanation:
The theoretical probability that applesauce and broccoli will both offered on monday is 20%.
What is combination?A combination is a way of selecting items from a collection where the order of selection does not matter. It is calculated by
[tex]^{n} C_{r} = \frac{n!}{(n-r)!}[/tex]
Where,
[tex]^{n} C_{r}[/tex] is the total number of combinations.
n is the total number of objects
r is the number of objects selected.
What is theoretical probability?The theoretical probability is defined as the ratio of the number of favourable outcomes to the number of possible outcomes.
According to the question.
There are total 6 dishes.
Manger have to choose three dishes for monday.
Now the total number of combination of selecting 3 dishes from 6 dishes
[tex]=^{6} C_{3}[/tex]
[tex]= \frac{6!}{3!(6-3)!}[/tex]
[tex]= \frac{6\times5\times4\times3!}{3\times2\times1\times3!}[/tex]
[tex]=20[/tex]
So, the manager has total 20 choices to select three dishes randomly out or 6 dishes.
Also, it is given that for monday applesauce and broccolli will both offered so the number of choices or combination or the three dishes will be
Applesauce, broccoli, and cornapplesauce, brocolli, and dumplingsapplesauce, brocolli, and egg rollsapplesauce, brocolli, and french friesTherefore, the theoretical probability that applesauce and brocoli will both be offered on monday
[tex]= \frac{4}{20}\times100[/tex]
[tex]= \frac{1}{5} \times 100\\= 20\%[/tex]
Hence, the theoretical probability that applesauce and broccoli will both offered on monday is 20%.
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Dayshawn can choose two of his four t-shirts to take on a weekend trip.
If the t-shirts are labeled A, B, C, and D, which choice represents the sample space, S, for the event?
S = {ABCD}
S = {ABCD, DCBA}
S = {AB, AC, AD, BC, BD, CD}
S = {AB, BA, AC, CA, AD, DA, BC, CB, BD, DB, CD, DC}
Answer:
it is C S = {AB, AC, AD, BC, BD, CD}
Step-by-step explanation:
i just took it edge 2022 good luck
The solution is: C is the right answer. Sample space of the given event is given by S= {AB, AC, AD, BC, BD, CD}
What is probability?
Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
Here, we have,
Given :
Total T-shirts =4
He chose T-shirt to take on weekend trip = 2
In an random trial or experiment , the set of all possible outcomes or results of that experiment is called the sample space of it.
If the t-shirts are labeled A, B, C, and D,
then its sample space of the event is given by
S= {AB, AC, AD, BC, BD, CD}
Hence, The solution is: C is the right answer. Sample space of the given event is given by S= {AB, AC, AD, BC, BD, CD}
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At her sisters birthday party Cheyenne thought it would be funny to drink lemonade from a party hat if the radius is 4.8 cm and the height of a hat is 12 cm how many cubic centimeters of lemonade can Cheyenne pour into the hat
92.16 pi cm^3.
Step-by-step explanation:
Shape of a party hat : conical
Volume of a cone = (1/3)(pi)(r^2)(h)
(pi(1/3)(23.04)(12))cm^3
Therefore, approximately
92.16 pi cm^3.
Cost of Bikes ($) at Bike Shop
312, 352, 480, 392, 368, 352, 416, 640
b. median
The median is?
Answer:380
Step-by-step explanation:sort the list, take center value or mean of center values if even number of items in list
How is the graph of the parent function y=x² transformed to produce the graph of y=3(x+1)²?
a) It is translated 1 unit right and compressed vertically by a factor of 3.
b) It is translated 1 unit left and compressed vertically by a factor of 3.
c) It is translated 1 unit right and stretched vertically by a factor of 3.
d) It is translated 1 unit left and stretched vertically by a factor of 3.
Answer:
Step-by-step explanation:
Remark
Always the easiest way to study these questions is to get a graph. The one below shows
Red: y = x^2
Blue: y= 3(x + 1)^2
You will notice that (x+1)^2 shifts the graph Left -- the opposite to what you might think.
The 3 is a little harder. It narrows the red mother graph. Which choice says that?
The choice is between b and d. Why. Because the blue graph is to the left of the red one.
You have to learn the meaning of compressed. A better word might be narrows.
Answer
B
Riley took tests in science.
Each test had a different score.
The mean score of the tests was .
The median score of the tests was .
Based on this information, select the two statements that must be true.
A. At least one score was exactly 85%
B. At least one score was exactly 90%
C. More than half of the scores were 85% or greater.
D. More than half of the scores were 90% or greater.
E. There were no scores less than 90%
F. There were no scores less than 85%
Answer:c
Step-by-step explanation:heheh
Answer: C
Step-by-step explanation:
answer quickly pls pls pls
9,10,12,x,20,25 find x the median is 14
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
12+16=28
28/2=14
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e) 35-12 + 6 x 36 /4
[tex]35 - 12 + \frac{6 - 36}{4 } \\ 35 - 12 + \frac{216}{4} [/tex]
2. Divide the number[tex] 35 - 12 + \frac{216}{4} \\ 35 - 12 + 54[/tex]
3. Add the numbers[tex]35 - 12 + 54 \\ 77[/tex]
Solution : 77
EASY POINTS Identify the type of function represented
Answer:
exponential growth
Step-by-step explanation:
f(x) = 4 * 2^x
This function is in the form
y = a * b^x where a is the initial value and b is the growth or decay rate
This is exponential form
if b > 1 then it is growth
0< b < 1 it is decay
b =2 so it is growth
Find the sum of the interior angles for the polygon that has twice the number of sides as an octagon.
Answer:
The sum of the interior and exterior angles = 8640+360 = 9000 deg. So, the regular polygon has 9000/180 = 50 sides. Its name is pentacontagon
Step-by-step explanation:
[tex]2\frac{2}{5}[/tex]
A fraction is a way to describe a part of a whole. The decimal form of 2 2/5 is 2.4.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The decimal form of 2 2/5 can be written as,
2 2/5 = 2 + 2/5 = 2 + 0.4 = 2.4
Hence, the decimal form of 2 2/5 is 2.4.
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alen is buying a new car. He has the options below.
Model: compact, luxury, sport
Transmission: automatic, manual
Color: red, blue, black, yellow
Jalen decides that he wants a yellow car. What is the total number of choices he has?
5
6
12
24
Answer:
Step-by-step explanation:
To calculate combinations, we will use the formula nCr = n! / r! * (n - r)!, where n represents the total number of items, and r represents the number of items being chosen at a time. To calculate a combination, you will need to calculate a factorial.
sin A tan A/ 1 - cos A = 1+ sec A
[tex]\text{L.H.S}\\\\=\dfrac{\sin A \tan A}{1- \cos A}\\\\\\=\dfrac{\sin A \cdot \tfrac{\sin A}{\cos A} }{ 1- \cos A}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~;\left[\tan A = \dfrac{\sin A }{\cos A}\right]\\\\\\=\dfrac{\tfrac{\sin^2 A}{ \cos A}}{1- \cos A}\\\\\\=\dfrac{\sin^2 A}{\cos A(1-\cos A)}\\\\\\=\dfrac{1-\cos^2 A}{\cos A( 1- \cos A)}~~~~~~~~~~~~~~~~~~~~~~~~;[\sin^2 A + \cos^2 A = 1]\\\\\\[/tex]
[tex]=\dfrac{(1+ \cos A)(1 - \cos A)}{\cos A(1 - \cos A)}\\\\\\=\dfrac{1+ \cos A}{ \cos A}\\\\\\=\dfrac{1}{\cos A} + \dfrac{\cos A}{ \cos A}\\\\\\=\sec A + 1 \\\\\\=1+ \sec A\\\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
The table below shows how the age of a certain tree is related to the diameter
(width) of its trunk. How old (in years) is a tree whose trunk is 11 inches in
diameter?
Trunk diameter
(inches)
Age
(years)
4
10
5
20
6
30
7
40
8
50
9
60
The age of a tree when the diameter is 11 inches is 80.
What is the age of the tree?The age of the tree increases by 10 with a 1 inch increase in the diameter of the trunk. This represents a linear increase.
The equation that can be used to represent the age of a tree given its diameter is :
age of the tree when the diameter is 4 inches + [(difference between 11 inches and 4 inches) x rate of change in age)
10 + (10 x 7) = 80
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What fraction is equal to 5
Answer:
5/1
Step-by-step explanation:
because 1 in the denominator means the number has no denominator
Help asap I DONT KNOW THIS QUESTION!!!
Answer:
a and b is ur answer
Step-by-step explanation: