Answer:
A) The probability that both selected setups are for laptop computers is 0.067
B)The probability that both selected setups are desktop machines is 0.4
C)The probability that at least one selected setup is for a desktop computer is 0.933
D)The probability that at least on computer of each type is chosen for setup is 0.533
Step-by-step explanation:
Number of laptops = 2
Number of desktops = 4
Total number of outcomes = 15
a) what is the probability that both selected setups are for laptop computers?
Total number of outcomes = 15
So, the probability that both selected setups are for laptop computers = [tex]\frac{1}{15}=0.067[/tex]
b)what is the probability that both selected setups are desktop machines?
Number of desktops = 4
Number of desktops to be chosen = 4
We will use combination
No. of ways to select two desktops =[tex]^4C_2=\frac{4!}{2!(4-2)!}=6[/tex]
So,the probability that both selected setups are desktop machines=[tex]\frac{6}{15}=0.4[/tex]
(c) what is the probability that at least one selected setup is for a desktop computer?
P(at least 1 desktop)=1-P(No desktop)
P(at least 1 desktop)=1-P(both laptops)
P(at least 1 desktop)=1-0.067=0.933
So,the probability that at least one selected setup is for a desktop computer is 0.933
d) what is the probability that at least on computer of each type is chosen for setup?
No. of ways to select one desktop [tex]=^4C_1=\frac{4!}{1!(4-1)!}=4[/tex]
No. of ways to select one laptop =[tex]^2C_1=\frac{2!}{1!(2-1)!}=2[/tex]
So, No. of ways to select one laptop and one desktop= [tex]4 \times 2 = 8[/tex]
So,the probability that at least on computer of each type is chosen for setup=[tex]\frac{8}{15}=0.533[/tex]
-6•f(-3) - 5.g(-7) =
Ah, function problems, I had this in my math class around 2-3 weeks ago. So f and g is the function here.
TO SOLVE:
Simply look at where each plot is at. f(-3) is at (0, -3). So we will substitute -3 into f(-3).
Now, our equation should look like:
-6•(-3)-5•g(-7).
We can now take a look at the function, g. We can see that g(-7) lays at (-7, 6). We only need the Y here so it will be 6. Now, plug it in:
-6•(-3)-5•6=
=18-30
=-12
So thus, -12 is the answer!
If you believe this answer helped, please rate it! Please give me your honest opinion, meaning you may give me 1/5 depending on how good I explained so I can improve it!
Solve for x.
16 = -2x - 1
x=-7 1/2
x=-8 1/2
x=8 1/2
x=7 1/2
Answer:
x= -8 1/2
Step-by-step explanation:
Four out of 32 students in Mr. Lee’s class speak 3 languages. Which decimal represents the number of students who speak 3 languages?
Answer:
.125
Step-by-step explanation:
4 is one-eighth (1/8) of 32, which would be represented by the decimal .125 or 0.125
The regression equation y = 8.6sin(0.24x – 1.88) + 62.8 models the Fahrenheit temperature in a room x hours after midnight. What is the maximum temperature in the room during the first 24 hours?
Answer:B (57.0 F°)
Step-by-step explanation:
Answer:
71.4 (D)
Step-by-step explanation:
Edge 2020
I took the test, guessed and got it right
Have a great day everyone
complete the equation so that it has infinitely many solutions
1/2(4-z)
Answer:
4 - z
—---
2
Step-by-step explanation:
The monument has an actual height of 604 feet carbans model used a scale in witch 1inch represents 100feet what is the height in inches
Answer:
76inches
Step-by-step explanation:
I took the test✨
PLEASE I NEED HELP !!
question: Find the values of k and b if it is known that the graph of y=kx+b goes through points (2, 10) and (−7, −10).
what is k and what is b
PLEASEEEEE
Answer:
k = 20/9
b = 50/9
Step-by-step explanation:
slope intercept form: y = mx + b
given equation: y = kx + b
(-10-10)/(-7-2)
= 20/9
10= 2 x 20/9 + b
90 = 40 + b
b = 50
y = 20x/9 + 50
Nita finds that the expression (a + 1) 2 is sometimes, but
not always, greater in value than (a + 1) 3 when she evaluates both expressions
for the same value of a. How do you explain this finding?
I guess the expressions are supposed to be (a + 1)² and (a + 1)³.
Consider the inequality,
(a + 1)² > (a + 1)³
Move everything to one side:
(a + 1)² - (a + 1)³ > 0
Factorize the left side:
(a + 1)² (1 - (a + 1)) > 0
-a (a + 1)² > 0
a (a + 1)² < 0
Notice that the left side is exactly 0 if either a = 0 or a = -1.
Now consider the following 3 cases:
• If a < -1, then a is negative, while (a + 1)² is always non-negative, which means a (a + 1)² will always be negative.
• If -1 < a < 0, then again a is negative, so a (a + 1)² is also negative.
• If a > 0, then a (a + 1)² is always positive.
So the inequality is satisfied for all a in the interval (-∞, -1) ∪ (-1, 0). This is to say that (a + 1)² is always greater than (a + 1)³ if a is chosen from this domain.
Another way to look at this: assume a + 1 falls between -1 and 1. Whenever you scale a number between -1 and 1 by another number in the same range, the product will always be smaller than the original number.
More concretely, let's say a + 1 = 1/2. So for instance, 1/2 * 1/2 = (1/2)² = 1/4, and 1/4 is clearly smaller than 1/2. If we multipy again by 1/2, we get 1/2 * 1/2 * 1/2 = (1/2)³ = 1/8, which is smaller than 1/4.
Find the x - and y-intercepts of the graph of the linear equation 2x + 3y = 12.
The x-intercept is
The y-intercept is
Answer:
Y intercept = (0,4)
X intercept = (6,0)
Step-by-step explanation:
First you need to make the equation slope intercept form.2x+3y=12
To do so, you need to get y on it's own (or on one side)
Subtract 3y from the left side.-3y+12=2x
Then, divide everything out by -3y-4=-2/3x
Add four to the other sidey= -2/3x +4
-2/3x= slope while 4= y intercept
You can also graph it on desmos and find the y intercept and x intercept
We want to find the x and y-intercepts of a given equation.
The solution is:
The x-intercept is x = 6 The y-intercept is y = 4First, we start by defining what x-intercept and y-intercept are.
The x-intercept is the x-value at which the graph of the equation intercepts the x-axis, and is equivalent for the y-intercept.
So, for a given function y = f(x).
We define the y-intercept as the value of y when we define x = 0.
And we define the x-intercept as the value (or values) of x when y = 0.
Here we have:
2x + 3y = 12
So to get the x-intercept, we just need to define y = 0 and solve for x.
2x + 3*0 = 12
2x = 12
x = 12/2 = 6
To get the y-intercept, we just need to define x = 0 and solve for y.
2*0 + 3*y = 12
3*y = 12
y = 12/3 = 4
Then we can conclude:
The x-intercept is x = 6 The y-intercept is y = 4If you want to learn more, you can read:
https://brainly.com/question/25192415
If 7x + 5y = 25 and 3x + 2y = 10, what is the value of x +y?
A 5
B15
C20
D 35
Answer:
wwww
Step-by-step explanation:
what is the slope line
Answer:
Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m.
Step-by-step explanation:
A researcher surveys job satisfaction among laborers and white-collar workers. (Job satisfaction is rated on a scale from 1 = low satisfaction to 10 = high satisfaction.) Results show that laborers have a mean job satisfaction score of 3 and a SD 1; white-collar workers have a mean job satisfaction rating of 7 and a SD of 3.16. Which statement is the best interpretation of the mean and SD?
A. Laborers are less satisfied than white collar workers and most laborers are about equally dissatisfied, while there is more variation in the satisfaction of white collar workers
B. Laborers generally are less satisfied than white-cofar workers, but laborers wojtas kely to be highly satisfied as white collar workers are to be highly satisfied
C. White-colar workers and laborers we bout equally waited but there is more variation among white collar workers
D. White collar workers are more satisfied than laborers, but have similar amount of variation
Answer:
Option A is the answer
Step-by-step explanation:
From the question we are told that
The mean of laborers is 3
The standard deviation is 1
The mean of white collar workers is 7
The standard deviation for white collar workers is 3.16
From this value given we can see that the white collar worker is more dissatisfied than the laborers
Also the from the value of standard deviation of the laborers we see that the deviation from the mean is 1 which means that they are equally dissatisfied
But in the case of white collar workers we see deviation from the mean is very high which implies that the dissatisfaction varies more with white collar workers
It has generally been believed that it is not feasible for men and women to be just friends (The New York Times, April 12, 2012). Others argue that this belief may not be true anymore since gone are the days when men worked and women stayed at home and the only way they could get together was for romance. In a recent survey, 186 heterosexual college students were asked if it was feasible for men and women to be just friends. Thirty-two percent of females and 57% of males reported that it was not feasible for men and women to be just friends. Suppose the study consisted of 100 female and 86 male students.
a. Construct a contingency table that shows frequencies for the qualitative variables Gender (men or women) and Feasible (yes or no).
b. Find the probability that a student believes that men and women can be friends.
c. If a student believes that men and women can be friends, what is the probability that this student is a male? Find the corresponding probability that this student is a female.
It has generally been believed that it is not feasible
Answer:
Step-by-step explanation:
See the attached file .
Dana is skating laps to train for a speed skating competition. She can skate one lap in 40 seconds.
1. Write a ratio in simplest form comparing Dana's time to her number of laps.
2. Suppose Dana skates for 20 seconds. How many laps will she skate?
3. Write a ratio of Dana's times from number 2 to her number of laps.
4. How could you simplify the ratio you wrote in 3?
Answer:
5
Step-by-step explanation:
-10 - 6(2v – 8) = -82
Answer:
v = 10
Step-by-step explanation:
-10 - 6(2v-8) = -82
-10 - 12v + 48 = -82
-12v + 38 = -82
-12v = -120
v = 10
hope this helped, if you need a more in depth answer to how i did it just ask
Answer:
Hello! I hope I’m correct! :)
Step-by-step explanation:
The answer should be V = 10
First, Add 10 to both sides.
-6(2v-8) = -82+10
Next, Simplify
-6(2v-8) = -72
Than, divide both sides by -6
= -72/-6
{Note: two negatives makes a positive}
= 72/6
Simplify.
2v-8=12
Add (+) 8 to both of the sides.
2v= 12+8
Simplify 12+8 to...
2v = 20
Now, divide both sides by 2
V = 20/2
Since we have 20/2, we need to simplify (divide 20 & 2)
20 divided by 2 = 10
V = 10
Therefore the answer is v = 10Hope this helps! If you have any questions about these steps, feel free to ask! Have a nice day! :)
~by, BrainlyAnime <3
Help I understand but explain the steps and how you got it
Answer:
7-4 = 3
the change is 3 emails
Step-by-step explanation:
kevin has $42 and is saving $8 per week. how many weeks must kevin save in order to have 138 altogether
Answer:
Kevin would have to save for 12 weeks.
Step-by-step explanation: The reason he would have to save for 12 weeks is that 8 times 12 is 96, and 96 + 42 is 138.
If 5 is added to one-half of a number, the result is the same as when three-fifths of the number is decreased by 3. Find the number
Answer:
2.3
Step-by-step explanation:
is your answer
Help me please .........
Step-by-step explanation:
x ÷ 3 - 7 = -2
x - 7 = -2 × 3
x - 7 = -6
x = -6 + 7
x = 1
Answer:x ÷ 3 - 7 = -2
x - 7 = -2 × 3
x - 7 = -6
x = -6 + 7
x = 1
Step-by-step explanation:
Fraser scores 43% in a spelling test. What percentage did he get wrong?
Answer:
100-43= 57
Explanation:
So, Frazer did 57% wrong
Answer:
57% incorrect wow he should have studied better lol ;)
Step-by-step explanation:
If he SCORED 43%, than out of 100% the remaining is 57%
A certain academic department at a local university will conduct a research project. The department will need to hire graduate research assistants and professional researchers. Each graduate research assistant will need to work 30 hours per week on fieldwork and 10 hours per week at the university's research center. Each professional researcher will need to work 12 hours per week on fieldwork and 28 hours per week at the university's research center. The minimum number of hours needed per week for fieldwork is 163 and the minimum number of hours needed per week at the research center is 131. Each research assistant will be paid $246 per week and each professional researcher will be paid $407 per week. Let x denote the number of graduate research assistants hired and let y denote the number of professional researcher hired. The department wants to minimize cost. Set up the Linear Programming Problem for this situation.a) Min C = 246x + 407y; s.t 30x + 12y ≥ 163, 10x + 28y ≥ 131, x ≥ 0, y ≥ 0b) Min C = 246x + 407y; s.t 12x + 30y ≤ 131, 28x + 10y ≤ 163, x ≥ 0, y ≥ 0c) Min C = 246x + 407y; s.t 30x + 12y ≥ 163, 28x + 10y ≥ 131, x ≥ 0, y ≥ 0d) Min C = 407x + 246y; s.t 30x + 10y ≥ 163, 12x + 28y ≥ 131, x ≥ 0, y ≥ 0e) Min C = 407x + 246y; s.t 12x + 30y ≥ 163, 28x + 10y ≥ 131, x ≥ 0, y ≥ 0f) None of the above.
Answer:
The answer is "Option a".
Step-by-step explanation:
In the question, Option a is correct, because in this choice, Let x determine its amount of pupils hired and the point y is let as it's mean that it is the number of experts who recruited in the researcher, and description of the choice can be defined as follows:
[tex]Min C = 246x + 407y; \\\\s.t \ 30 x + 12 y \geq 163, \\\\10x + 28y \geq 131, \\\\x \geq 0, \\\\y \leq 0\\\\[/tex]
how many solutions does 8x^2+5x-7=0 have?
A 2014 Gallup survey on mental health in the United States interviewed a random sample of 173,655 American adults. The table found in the online report of the survey findings is provided.
Percent currently being treated for depression
All Americans 11
Baby boomers (1946–1964) 14
Generation X (1965–1975) 11
Traditionalists (1900–1945) 9
Millennials (1980–1996) 7
Required:
Give the marginal distribution of current depression treatment. (Enter your answers as whole numbers.)
Answer:
The answer is "11% and 89%".
Step-by-step explanation:
Its marginal distribution of 11 percent currently starts from the given table and that is not currently considered as 89 percent.
what fraction multiplied by itself is equal to 4/25
Answer:
2/5
Step-by-step explanation:
we see that 2x2=4
and 5x5is equal to 25
so the answer is 2/5
Answer:
2/5
Step-by-step explanation:
2/5 * 2/5 = 4/25
the number that you can multiply by its self to get 4 is 2 and the number that you can multiply by its self to get 25 is 5
1. Which size bag of cat food shown in the table has the lowest unit price?
Size (oz) Cost ($)
24
5.49
40
8.00
64
15.99
Answer:
The one that costs $15.99
Step-by-step explanation:
Divide 24/5.49=4 and something cents
Then 40/8 to get $5
Then 64/15.99 to get $4.00
The lowest price is $0.20 the size 40 oz bag cost $8.00 showing the lowest unit price.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
24 oz bag cost $5.49
Cost of 1 oz cat food = 5.49/24 = $0.228
40 oz bag cost $8.00
Cost of 1 oz cat food = 8/40 = $0.2
64 oz bag cost $15.99
Cost of 1 oz cat food = 15.99/64 = 0.2498
Thus, the lowest price is $0.20 the size 40 oz bag cost $8.00 shows the lowest unit price.
Learn more about the fraction here:
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What is the image point of (0, -1) after a translation left 5 units and down 1 unit
Answer:
(-5,-2)
Step-by-step explanation:
Round 713,923 to the nearest hundred.
Answer:
713,7923 to the nearest hundred is 713,900
What’s 4.5 rounded to the nearest whole number
Answer: 5
Step-by-step explanation:
When the number after the point is 5 and above round up
4.5 rounded to the nearest whole number is 5.
When you round a decimal number to the nearest whole number, you are determining which whole number it is closest to.
For 4.5, you can visualize it on the number line.
The decimal number 4.5 lies exactly midway between 4 and 5.
To round to the nearest whole number, we look at the digit immediately to the right of the decimal point, which is 5.
Since 5 is greater than or equal to 5 (the midpoint), we round up to the next whole number, which is 5.
Therefore, 4.5 rounded to the nearest whole number is 5.
To learn more on Number system click:
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what does it mean to say that a number is a perfect square
Answer:
A perfect square is the product of a rational number multiplied by itself.
4, 9, and 16 are perfect squares
1, 2, 3, 5, 6, etc. are not perfect squares
Step-by-step explanation:
Answer:
please mark brainliest!
Step-by-step explanation:
NON-DETAILEDA number that is a perfect square is a number that can be square rooted kind of in a perfect match. Example would be 9 because it can be square rooted by 3 for 3 * 3. Another example that would not be a perfect square would be 30 because it can divided by 6 * 5 but neither one of those numbers are perfect squares.
DETAILEDA number called a perfect square means that the number has an exact squared root. In other words, the number has an squared power, which is exact.
Other way to see this, it's taking natural number 1, 2, 3, 4 then, applying the squared power to each one, the results of each squared power is what we call a perfect square. For example, 1, 4, 9, 16, 25, 36, are all perfect square, because they are the result of a squared power:
[tex]1^{2} = 1\\2^2 = 4\\3^2 = 9\\4^2 = 16\\5^2 = 25\\6^2 = 36[/tex]
Resuelve estas ecuaciones
1. x I 6 = 14
X=
Answer:
3 sjshgegegegehsksksjsjsissjs