Answer:
The overall reliability of the system is 99.9952%
Step-by-step explanation:
Probability of the system not working:
None working, the first with 2% probability of not working(as it has 98% probability of working), the second with 4% and the third with 6%. So
0.02*0.04*0.06 = 0.000048
Probability of the system working:
1 subtracted by the probability of the systme not working.
1 - 0.000048 = 0.999952
0.999952*100% = 99.9952%
The overall reliability of the system is 99.9952%
. In this exercise, you will conduct regression analysis with binary and categorical variables. (a) Use the command tabulate to show the categories of the variable occupation and their frequencies. What is the relative frequency of the category Sales
Given f (x) = StartLayout Enlarged left-brace first row x squared minus one-third x, for x not-equals negative 1 second row negative 1, for x = negative 1 EndLayout. What is Limit of f (x) as x approaches negative 1?
Negative five-thirds
Negative four-thirds
Four-thirds
Five-thirds
Answer:
It's C, 4/3! Just did the question and got it right
Step-by-step explanation:
The limit of f(x) as x approaches negative 1 is four thirds.
What is Limits?Limits are defined as the value of a function as the input approaches a certain number. Limits are the concepts used essentially in calculus to define continuity, integrals and derivatives.
Given function is,
[tex]f(x) =\left \{ {{x^{2} -\frac{1}{3}x, x\neq -1 } \atop {-1, x=-1}} \right.[/tex]
We have to find the value of the limit as x approaches to negative 1.
This is not the same value as the value of the function at negative 1. Limit of the function as x approaches some value is the value of the function which is closest to the exact value of the function at the input.
We have,
f(x) = x² - [tex]\frac{1}{3}[/tex] x when x ≠ -1
Substitute x = -1 in the above equation
x² - [tex]\frac{1}{3}[/tex] x = (-1)² - (1 / 3) (-1)
= 1 + [tex]\frac{1}{3}[/tex]
= [tex]\frac{4}{3}[/tex]
[tex]\lim_{x \to -1} x^{2} -\frac{x}{3}[/tex] = [tex]\frac{4}{3}[/tex]
Hence the limit of f(x) = x² - [tex]\frac{1}{3}[/tex] x when x tends to -1 is 4/3.
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One minus the product of four and a number z
Answer:
1-(4×z) is the expression
Answer:
1 - 4z
Feel free to mark this as brainliest :D
An experimenter is studying the effects of temperature, pressure, and type of catalyst on yield from a certain chemical reaction. She considers 6 different temperatures, 5 different pressures, and 4 different catalysts are under consideration.
a. If any particular experimental run involves the use of a single temperature, pressure, and catalyst, how many experimental runs are possible?
b. How many experimental runs are there that involve use of the lowest temperature and two lowest pressures?
c. Suppose that five different experimental runs are to be made on the first day of experimentation. If the five are randomly selected from among all the possibilities, so that any group of five has the same probability of selection, what is the probability that a different catalyst is used on each run?
Answer:
a) 120 possible experimental runs
b) 8 possible experimental runs
c) 0
Step-by-step explanation:
a. For the experiment, there are 6 different temperatures (T), 5 different pressures (P), and 4 different catalysts (C). We can find the total number of combinations using the product rule.
N = T × P × C
N = 6 × 5 × 4 = 120
b) If we use only the lowest temperature, we have T = 1, and if we use the two lowest pressures, we have P = 2. We can find the total number of combinations using the product rule.
N = T × P × C
N = 1 × 2 × 4 = 8
c) If we perform 5 experimental runs with 4 possible catalysts, it is not possible to use a different catalyst each time. At least, 1 catalyst must be repeated twice. Then, the event "a different catalyst is used on each run" has a probability of 0.
Can anyone help me find the function for this trig graph ? i need a specific answer for the function , not just telling me how to find it . 80 pts
Answer:
y = 5 sin (2x) + 4
Step-by-step explanation:
this is sines function,
the amplitude is [9 - (-1)]/2 = 10/2 = 5
the period is 2πx/π = 2x
the x-axis of actual function is at y = 4
so, the function is :
y = 5 sin (2x) + 4
Find, if possible, exact solutions for the quadratic equation. 7x^2 =
-28x
Answer:
X = 0, -4
Step-by-step explanation:
Symbolab helped
Hadley is driving to Colorado. She has been traveling for 4 hours, and she has driven 260 miles. Find her speed in miles per hour.
[tex]hey \\ 260miles \: in \: 4 \: hours \\ how \: many \: miles \: per \: hour = \\ 260 \div 4 = 65miles[/tex]
Assume the random variable x has a binomial distribution with the given probability of obtaining a success. Find the following. Probabilitygiven the number of trials and the probability of obtaining a success. Round your answer to four decimal places. P(x>10), n=14, p= .8
Answer:
P(x > 10) = 0.6981.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
In this question:
[tex]n = 14, p = 0.8[/tex]
P(x>10)
[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 11) = C_{14,11}.(0.8)^{11}.(0.2)^{3} = 0.2501[/tex]
[tex]P(X = 12) = C_{14,12}.(0.8)^{12}.(0.2)^{2} = 0.2501[/tex]
[tex]P(X = 13) = C_{14,13}.(0.8)^{13}.(0.2)^{1} = 0.1539[/tex]
[tex]P(X = 14) = C_{14,14}.(0.8)^{14}.(0.2)^{0} = 0.0440[/tex]
[tex]P(x > 10) = P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) = 0.2501 + 0.2501 + 0.1539 + 0.0440 = 0.6981[/tex]
So P(x > 10) = 0.6981.
Solve the following linear equation for m.
2m−13=−8m+27
Answer:
4
Step-by-step explanation:
2m−13=−8m+27
2m+8m=27+13
10m=40
m=40÷10
Therefore, m=4
Answer:
2m - 13 = -8m +27
2m + 8m = 27 + 13
10m = 40
m = 4
Divide the following complex numbers:
(4-i)/(3+4i)
A.-8/7 + 19/7i
B. 16/25 - 19/25i
C. 8/25 - 19/25i
D. -16/7 + 19/7i
Answer:
C. 8/25 - 19/25i
Step-by-step explanation:
Given that:
[tex]\dfrac{4-i}{3+4i}[/tex]
[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)}[/tex]
[tex]= \dfrac{(4-i) (3-4i)}{(3+4i)(3-4i)} \\ \\ =\dfrac{12 -16i -3i+4i^2}{9 - 12i +12i -16i^2} \\ \\ = \dfrac{12-19i+4i^2}{9-16i^2} \\ \\ = \dfrac{8-19i}{25}[/tex]
[tex]=\dfrac{8}{25}- \dfrac{19i}{25}[/tex]
PLEASE HELP! ILL GIVE BRAINLIEST!! PLEASEE
The answer is A which is 30. :D
Answer:
30
Step-by-step explanation:
2x + x - 10 = 80
3x - 10 = 80
3x (- 10 + 10)= 80 + 10
3x = 90
3x/3 = 90/3
x = 30
Can someone help me please
Answer:
The length would be 25/5 which is 4.8
Answer:
l=8 or -3
Step-by-step explanation:
You can write this into an equation!
It will be l*(l-5)=24
Now, we can just solve.
We have to expand the equation and so on.
GIVING OUT BRAINLIEST !!! HELP ME PLSS
Answer:
Step-by-step explanation:
conducted an experiment with orange, purple and blue colored lights to grow spinach. During their experiment, they conducted a chi-square analysis. Their chi-square sum was 0.85. If their sum is less than the probability value, then their data fits their experiment to reject the null. If their sum is greater than the probability value to, then their data does not fit their experiment to accept the null. What was the conclusion of the data results for their experiment
Answer:
There is not enough evidence to reject the null hypothesis.
Their sum is greater than the probability value , the data does not fit the experiment and the null is accepted.
Step-by-step explanation:
There are 3 colors so degrees of freedom = 3-1 = 2
The chi square value = 0.85
The p value for chi square =0.85 for 2 degrees of freedom for the left tailed test to be 0.34623 for 0.1,0.05 and 0.01 significance level.
There is not enough evidence to reject the null hypothesis.
The p value for chi square =0.85 for 2 degrees of freedom for the right tailed test to be 0.65377 for 0.1,0.05 and 0.01 significance level.
There is not enough evidence to reject the null hypothesis.
Their sum is greater than the probability value , the data does not fit the experiment and the null is accepted.
Plz help me well mark brainliest if correct
Answer:
C) 86
Step-by-step explanation:
To find the mean you first add all of the numbers together. So you would add 75+90+84+95=344. Then you would divide the sum by the amount if numbers there are. So it would be 344÷4 =86
Hope this helped :)
Answer:
x = 75, 90 , 84, 95
[tex]Mean = \frac{ \sum x}{n}= \frac{75+90+84+95}{4} = 86[/tex]
Given m || n, find the value of x and y.
(5x+16)
m
(y+6)
(7x+4)
n
Answer:
3<+2=13 is the answer
Step-by-step explanation:
The vertices of a rectangle in the coordinate plane are located at (4, -3), (4,5), (-5,5), and (-5, -3).
four plus negative two divided by negative three plus three
Answer:
23/3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify and set up
4 + -2 ÷ -3 + 3
Step 2: Evaluate
Divide: 4 + 2/3 + 3Add: 14/3 + 3 23/3Consider a normal distribution of values with a mean of 32 and a standard
deviation of 1.5. Find the probability that a value is less than 36.8.
Anyone know?
Answer: The probability that a value is less than 36.8 is 0.9993.
Step-by-step explanation:
Let X be the random variable that normally distributed.
Given: [tex]\mu=32,\sigma=1.5[/tex]
The probability that a value is less than 36.8 = [tex]P(X<36.8)[/tex]
[tex]=P(\frac{X-\mu}{\sigma}<\frac{36.8-32}{1.5})\\\\=P(Z<3.2)\ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=0.9993[/tex][Using P-value calculator]
Therefore, The probability that a value is less than 36.8 is 0.9993.
If you know how to solve this, Please answer it. Thank You
The first one to answer the question right, will get Brainlist!
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y = ( x + 9 )^2 - 2
................................
................................
Solve number 3 please, with explanation
Answer:
97,655
Step-by-step explanation:
5(5)^(n-1) = 78,125
5^n = 78,125
n = 7
=> S7 = 5(5^7 -1) / (5-1)
= 5/4 (78, 125 -1)
= 5/4 (78 124) = 97,655
Given the set of data below, which measure(s) will change if the outlier is removed? (Check all that apply.) 1,6,8,8,8
mean
range
median
mode
The mean, range, and median will vary if the outlier is eliminated. Options A, B, and C are correct.
What is mean?The arithmetic mean is a term used to describe the average. It's the ratio of the total number of observations to the sum of the observations.
The data set is;
1,6,8,8,8
Outliers in a dataset or graph are extreme values that stand out significantly from the main pattern of values.
There is an aberration in the graph below, on the far left. The value in January is much lower than the value in the other months.
If the outlier is removed mean, range, and median will changes.
Hence options A, B and C are correct.
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Determine the cubic function that is obtained from the parent function y = x^3
after each sequence of transformations
Vertical stretch by a factor of 3; vertical translation up 4 units; horizontal translation left 2 units
Answer:
The answer here depends on whether you want to do them individually or collectively. If we go individually, then:
The vertical scaling gives us y = 3x³
The vertical translation gives us y = x³ + 4
The horizontal translation gives us y = (x + 2)³
On the other hand, if we want to apply all three at the same time, we get:
starting with a vertical scaling of 3, we get:
start with scaling: y = 3x³
add vertical translation: y = 3x³ + 4
and finally add horizontal translation: y = 3(x + 2)³ + 4
Problem 1
A right isosceles triangle has legs 6 meters long each. Find the length of the
hypotenuse to the nearest tenth of a meter.
Draw a picture
Solve the problem. Show your work!
Answer:
The hypotenuse measures 8.48 meters.
Step-by-step explanation:
Given that a right isosceles triangle has legs of 6 meters long each, to find the length of the hypotenuse to the nearest tenth of a meter the following calculation must be performed, through the application of the Pythagorean theorem:
6 ^ 2 + 6 ^ 2 = X ^ 2
36 + 36 = X ^ 2
√ 72 = X
8.48 = X
Therefore, the hypotenuse measures 8.48 meters.
a model truck is 13.5 inches long 7.5 inches wide. the original truck was 12 feet long. how wide was the truck?
Answer:
w = 6ft 8in
Step-by-step explanation:
the proportions will be the same
w/7.5 = 12/13.5
multiply both sides by 7.5
w = 12/13.5 * 7.5
w = 6.6666666667ft
w = 6ft 8in
The original truck was 6.67 feet wide.
What is ratio?"It is a comparison of two or more numbers that indicates their sizes in relation to each other."
What is proportion?"It is an equation in which two ratios are set equal to each other."
For given example,
A model truck is 13.5 inches long 7.5 inches wide.
The ratio of length to width of a model truck would be,
13.5 : 7.5 ...........................(1)
The original truck was 12 feet long.
This means the original truck was 144 inches long.
Let 'x' be the width (in inches) of the original truck.
So, the ratio of the length to the width of the original truck would be,
144 : x .................................(2)
Also, the ratios given by (1) and (2) must be in proportion.
[tex]\Rightarrow \frac{13.5}{7.5} = \frac{144}{x} \\\\\Rightarrow 13.5 \times x = 144 \times 7.5\\\\\Rightarrow \bold{x=80~inches}\\\\\Rightarrow \bold{x=6.67~feet}[/tex]
Therefore, the original truck was 6.67 feet wide.
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Fill in the blanks. Suppose the probability at a light bulb factory of a bulb being defective is 0.11. If a shipment of 133 bulbs is sent out, the number of defective bulbs in the shipment should be around __________, give or take __________. Assume each bulb is independent.
Answer:
The number of defective bulbs in the shipment should be around 15, give or take 4.
Step-by-step explanation:
For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Suppose the probability at a light bulb factory of a bulb being defective is 0.11
This means that [tex]p = 0.11[/tex]
Shipment of 133 bulbs:
This means that [tex]n = 133[/tex]
Mean and standard deviation:
[tex]E(X) = np = 133*0.11 = 14.63[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{133*0.11*0.89} = 3.61[/tex]
Rounding to the nearest integers:
The number of defective bulbs in the shipment should be around 15, give or take 4.
What is the growth factor for 233% growth
Answer:
Here is what you do. Make it into vertex form and then whatever the x factor is is the growth factor
28)A regression equation is obtained for a collection of paired data. It is found that the total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083. Find the coefficient of determination.
Answer: The coefficient of determination = 0.6291
Step-by-step explanation:
Given: Total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083.
The coefficient of determination is computed as:
[tex]\text{ coefficient of determination} =\frac{\text{explained variation }}{\text{total variation}}[/tex]
Substituting given values, we get
[tex]\text{coefficient of determination} =\frac{15.405}{24.488}[/tex]
[tex]=0.6291[/tex]
Therefore, the coefficient of determination = 0.6291
sume that the change in daily closing prices for stocks on the New York Stock Exchange is a random variable that is normally distributed with a mean of $0.35 and a standard deviation of $0.33. Based on this information, what is the probability that a randomly selected stock will close up $0.75 or mor
Answer:
0.1131 = 11.31% probability that a randomly selected stock will close up $0.75 or more.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Normally distributed with a mean of $0.35 and a standard deviation of $0.33.
This means that [tex]\mu = 0.35, \sigma = 0.33[/tex].
What is the probability that a randomly selected stock will close up $0.75 or more?
This is 1 subtracted by the p-value of Z when X = 0.75. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.75 - 0.35}{0.33}[/tex]
[tex]Z = 1.21[/tex]
[tex]Z = 1.21[/tex] has a p-value of 0.8869.
1 - 0.8869 = 0.1131
0.1131 = 11.31% probability that a randomly selected stock will close up $0.75 or more.
Math- bbbbbbbbbbbbbbb
Answer:
b
Step-by-step explanation:
Answer:
B is the correct answer
Hope this helps!! :D