A line passes through the points (–1, 10) and (3, 2). Which shows the graph of this line?
Answers
Answer:
Hope this helps!!
Answer:
the correct answer is ...... A
Step-by-step explanation:
Hope this helps
Related Questions
How many units of insulin are in 0.75 ML a regular U – 100 insulin
Answers
Answer:
0.75 ML of insulin contains 75 units of insulin
Step-by-step explanation:
U - 100 insulin hold 100 units of insulin per ml
This means that:
1 ML = 100 units
∴ 0.75 ML = 100 × 0.75 = 75 units
Therefore 0.75 ML of insulin contains 75 units of insulin
What is the midpoint of the line segment with endpoints (1,-6) and (-3,4)?
O A. (-1,-1)
O B. (-2,-2)
O C. (-1,-2)
OD. (-2,-1)
please help
Answers
Answer:
(-1,-1)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2
(1+-3)/2 = -2/2 = -1
To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2
(-6+4)/2 = -2/2 = -1
(-1,-1)
What is the volume of this container?
Answers
Step-by-step explanation:
Concepto 20 pies, 20´ × 8´ × 8´6" 40 pies High Cube, 40´ × 8´ × 9´ 6"
Ancho 2352 mm / 7´9" 2352 mm / 7´9"
Altura 2393 mm / 7´10" 2698 mm / 8´10"
Capacidad 33,2 m³ / 1172 ft³ 76, m³ / 2700 ft³
ESPERO QUE TE AYUDE :D
A complex electronic system is built with a certain number of backup components in its subsystems. One subsystem has eight identical components, each with a probability of 0.45 of failing in less than 1,000 hours. The sub system will operate if any four of the eight components are operating. Assume that the components operate independently. (Round your answers to four decimal places.)
Required:
Find the probability that the subsystem operates longer than 1000 hours.
Answers
Answer:
0.7396 = 73.96% probability that the subsystem operates longer than 1000 hours.
Step-by-step explanation:
For each component, there are only two possible outcomes. Either they fail in less than 1000 hours, or they do not. The components operate independently. So we use the binomial probability distribution to solve this question.
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.
Eight components:
This means that [tex]n = 8[/tex]
Probability of 0.45 of failing in less than 1,000 hours.
So 1 - 0.45 = 0.55 probability of working for longer than 1000 hours, which means that [tex]p = 0.55[/tex]
Find the probability that the subsystem operates longer than 1000 hours.
We need at least four of the components operating. So
[tex]P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{8,4}.(0.55)^{4}.(0.45)^{4} = 0.2627[/tex]
[tex]P(X = 5) = C_{8,5}.(0.55)^{5}.(0.45)^{3} = 0.2568[/tex]
[tex]P(X = 6) = C_{8,6}.(0.55)^{6}.(0.45)^{2} = 0.1569[/tex]
[tex]P(X = 7) = C_{8,7}.(0.55)^{7}.(0.45)^{1} = 0.0548[/tex]
[tex]P(X = 8) = C_{8,8}.(0.55)^{8}.(0.45)^{0} = 0.0084[/tex]
[tex]P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) = 0.2627 + 0.2568 + 0.1569 + 0.0548 + 0.0084 = 0.7396[/tex]
0.7396 = 73.96% probability that the subsystem operates longer than 1000 hours.
What is the algebraic expression for "the sum of three times a number and seven"? A. 3 x + 7 B. 3 x + 11 x C. 3 + 7 x
Answers
Answer:
3x+7
Step-by-step explanation:
Three times a number, let x be the number and 7 so plus 7
The algebraic expression for the given phrase is 3x+7. Therefore, the correct answer is option A.
The given phrase is "the sum of three times a number and seven".
Variables and constants are combined to generate algebraic expressions using a variety of techniques. Terms comprise expressions. A term is the sum of several elements. Both numerical and algebraic (literal) factors are acceptable.
Let the unknown number be x.
Three times of a number = 3x
The number 7 is added to the obtained sum.
That is, 3x+7
So, the expression is 3x+7
The algebraic expression for the given phrase is 3x+7. Therefore, the correct answer is option A.
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Is (1,2), (2,3) (3,4), (4,5) a function?
Answers
Answer:
yes
Step-by-step explanation:
The domain is the set of x-values: {1, 2, 3, 4}. None of these are repeated, so this relation is a function.
Stealers, study components: In a study of the relationship between socio-economic class and unethical behavior, 129 University of California undergraduates at Berkeley were asked to identify themselves as having low or high social-class by comparing themselves to others with the most (least) money, most (least) education, and most (least) respected jobs. They were also presented with a jar of individually wrapped candies and informed that the candies were for children in a nearby laboratory, but that they could take some if they wanted. After completing some unrelated tasks, participants reported the number of candies they had taken. It was found that those who were identified as upper-class took more candy than others (Piff, 2012). Identify the following about this study.
a) What are the cases?_____
b) What are the variables and their types?_____
c) What is the main research question?_____
Answers
Answer:
a) 129 University of California undergraduates at Berkeley.
b) (i) social-class (ordinal), (ii) money (continuous), (iii) education (ordinal) , (iv) respected job (ordinal), (v) number of candies (continuous)
c) The main question is to find the relationship between socio-economic class and unethical behaviour
Step-by-step explanation:
a) 129 University of California undergraduates at Berkeley.
b)
i) social-class (ordinal)
ii) money (continuous)
iii) education (ordinal)
iv) respected job (ordinal)
v) number of candies (continuous)
c) The main question is to find the relationship between socio-economic class and unethical behaviour
What transformations to the linear parent function, f(x) = x, give the function
g(x) = 4x - 2? Select all that apply.
A. Shift down 2 units.
B. Vertically stretch by a factor of 4.
O c. Horizontally stretch by a factor of 4.
O D. Shift left 2 units.
Answers
Answer:
A. Shift down 2 units.
B. Vertically stretch by a factor of 4.
Step-by-step explanation:
Given the function
f(x)=x
If we stretch y vertically by a factor of m, we have: y=m·f (x)
Therefore:
Vertically stretching f(x) by a factor of 4, we have: 4x.
Next, if we take down f(x) by k units we have: y= f(x)-k
Therefore: Taking down 4x by 2 units, we obtain:
g(x)=4x-2
Therefore, Options A and B applies.
A jar contains 5 red marbles and 8 white marbles . Event A = drawing a white marble on the first draw Event B = drav drawing a red marble on the second draw If two marbles are drawn from the jar , one after the other without replacement , what is P(AandB) expressed in simplest form?
a: 3/13
b: 10/39
c: 5/12
d: 8/13
Answers
Answer:
(B) [tex]\dfrac{10}{39}[/tex]
Step-by-step explanation:
Number of red marbles = 5
Number of white marbles = 8
Total =8+5=13
Event A = drawing a white marble on the first draw
Event B = drawing a red marble on the second draw
P(A)=8/13
P(B)=5/12
Therefore:
P(A and B)
[tex]=\dfrac{8}{13} \times \dfrac{5}{12}\\\\=\dfrac{10}{39}[/tex]
Answer:
Your answer is B
Step-by-step explanation:
According to a milk carton, 2% milk contains 70 % less fat than whole milk. The nutrition label on the other side of the carton states that one serving of this milk contains 2.5 grams of fat. How many grams of fat are in an
equivalent serving of whole milk?
Answers
Answer:
8.33 grams of fat
Step-by-step explanation:
One serving of the milk contains 2.5 grams of fat.
2% milk has 70% less fat than whole milk.
This means 2% milk has 30% of the fat that whole milk has.
Let W = amount of fat in whole milk
30% of the fat that whole milk has
=30% × w
=30/100×w
=0.30×w
=0.30w
How many grams of fat are in an equivalent gram of whole milk
2.5g=0.30w
w=2.5g/0.30
=8.33 grams of fat
In a sample of 22 people, the average cost of a cup of coffee is $2.70. Assume the population standard deviation is $0.93. What is the 90% confidence interval for the cost of a cup of coffee
Answers
Answer:
$2.70+/-$0.33
= ( $2.37, $3.03)
Therefore, the 90% confidence interval (a,b) = ( $2.37, $3.03)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = $2.70
Standard deviation r = $0.93
Number of samples n = 22
Confidence interval = 90%
z(at 90% confidence) = 1.645
Substituting the values we have;
$2.70+/-1.645($0.93/√22)
$2.70+/-1.645($0.198276666210)
$2.70+/-$0.326165115916
$2.70+/-$0.33
= ( $2.37, $3.03)
Therefore, the 90% confidence interval (a,b) = ( $2.37, $3.03)
A regular octagon has what type of symmetry?
A.
line symmetry only
B.
point symmetry only
C.
both point and line symmetry
OD.
neither point nor line symmetry
Answers
Answer:
C
Step-by-step explanation:
A regular octagon has 8 lines of symmetry.
The point of intersection of the lines of symmetry of a regular octagon is the point of symmetry.
A regular octagon has both point and line symmetry. Thus, option C is the right choice.
What are the different types of symmetry?The different types of symmetry are:
Line symmetry: A shape is symmetric about a line when the two images formed on the two sides of the line are identical.Point symmetry: A shape is symmetric about a point, when the shape is rotated about the point for 180°, gives the same shape.Rotational symmetry: A shape is rotationally symmetric, when the shape on rotation about a point, with an angle of value less than 360°, gives the same shape back.How to solve the given question?In the question, we are asked about the types of symmetry that a regular octagon has.
A regular octagon has 8 lines of symmetry about which the shape divides itself into equal halves.
These are the 4 lines joining each opposite vertex, and the other 4 are the lines passing through the midpoints of opposite sides.
A regular octagon is point symmetric as 180° rotation about the point of intersection of the lines of symmetry gives the same shape back.
Thus, we can say that a regular octagon has both point and line symmetry. Thus, option C is the right choice.
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A polynomial is factorable, but it is not a perfect square trinomial or a
difference of two squares. Can you factor the polynomial without finding the GCF?
Answers
Answer:
So in this problem, we're told that a polynomial is fact herbal and it's not a perfect square. Try no meal or a difference of two squares. Can you factor the pie? Nomi bite or polynomial without finding the G C F. So no Jacey after is allowed. So if it's not a perfect squared, try no meal. So not a perfect square. We know it's not this, and we also know it's not a difference of two squirt if it's not any of these or if it's not either of these, but we can't find the G. C F. There are three different ways we could find the factored form. You could do it by grouping where you separating the polynomial into two parts and factor them individually before combining. You could also use the sum or a difference of cubes. This is for a cubic or a um, polynomial of third degree, and you could also use fractional or negative exponents. So even if you can't find the G c f or use these methods, there are still three ways you can factor the
Step-by-step explanation:
Glad i could help!
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope intercept form.
Answers
Answer:
y = x-2
Step-by-step explanation:
Pick two points on the line
(0,-2) and (2,0)
We can find the slope
m = (y2-y1)/(x2-x1)
= (0--2)/(2-0)
= (0+2)/(2-0)
2/2
=
We know the y intercept is -2 ( where it crosses the y axis)
y = mx +b is the slope intercept form of the equation where m is the slope and b is the y intercept
y = 1x -2
y = x-2
Answer: [tex]y=x-2[/tex]
Step-by-step explanation:
I explained the other problem you asked, why couldnt you apply that info to this one? Either way, Ill explain it again.
We can see the slope intercept is -2, so b = -2
To get the slope, just from visualization. Look at the y value and x value direction for which you gotta take to get to the next coords. From the y-intercept, you go up 1 and then right 1. 1/1 = 1
If the radius of a circle is 31.2 cm, what is the approximate area if you use 3.14 for pi and the area is rounded to the nearest tenth?
Answers
Answer:
3056.6 cm^2
Step-by-step explanation:
A = (pi)r^2 = 3.14 * 31.2 cm * 31.2 cm = 3056.6 cm^2
Answer: 3056.60 sq. cm.
Step-by-step explanation:
Area of a circle = π x r^2
= 3.14 x 31.2^2
= 3056.60
Frazier's total monthly expenses are $1,425. His fixed expenses amount to $750. How much are his variable expenses?
Answers
Answer:
675 = variable expenses
Step-by-step explanation:
Take the total expenses and subtract the fixed expenses to find the variable expenses
1425-750 = variable expenses
675 = variable expenses
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. Using the data, construct the 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level.
Answers
Answer:
The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. So 1537 - 1184 = 353 read at or below this level. Then
[tex]n = 1537, \pi = \frac{353}{1537} = 0.2297[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 - 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2087[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 + 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2507[/tex]
The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).
Which graph shows a function whose domain and range exclude exactly one value?
Answers
Answer:
C (the third graph)
Step-by-step explanation:
This graph's function has a domain and range that both exclude one value, which is 0. The x and y values are never 0 in the function, as it approaches 0 but never meets it.
Answer:
see below
Step-by-step explanation:
This graph has an asymptote at y = 0 and x=0
This excludes these values
The domain excludes x =0
The range excludes y=0
What is AB? Geometry help please
Answers
Answer:
AB = 37 units.
Step-by-step explanation:
Solve for AB using the Pythagorean theorem:
c² = a² + b² (c being AB in this instance)
Plug in the values of the legs of the triangle:
c² = 12² + 35²
c² = 144 + 1225
c² = 1369
c = √1369
c = 37
Therefore, AB = 37.
An article reports that 1 in 500 people carry the defective gene that causes inherited colon cancer. In a sample of 2000 individuals, what is the approximate distribution of the number who carry this gene
Answers
Answer:
Brianliest!
Step-by-step explanation:
4
1 in 500
500 x 4 = 2000
4 in 2000
a) find the value of 2x+y wehn x =4 and y =3 b) find the value of a^2 + b when a = -2 and b = 5
Answers
Answer:
a. 11b. 9Solution,
a. Given,
X=4
y=3
Now,
[tex]2x + y \\ = 2 \times 4 + 3 \\ = 8 + 3 \\ = 11[/tex]
b. Given,
a=-2
b=5
Now,
[tex] {a}^{2} + b \\ = {( - 2)}^{2} + 5 \\ = 4 + 5 \\ = 9[/tex]
hope this helps...
Good luck on your assignment..
Which theoretical probabilities are equal to 1/3? Check all that apply.
Answers
Answer:
2/6, 4/12, 8/24, 16/48, 32/96 ect....
Step-by-step explanation:
I hope this helps I really didnt know if this is what you were asking about
For the following situations, state which type of sampling plan was used. In order to find out how its employees felt about higher student fees imposed by the legislature, a university divided employees in three categories: staff, faculty, and student employees. A random sample was selected from each group and they were telephoned and asked for their opinions. A. Cluster sampling B. Systematic sampling C. Stratified sampling D. Convenience sampling
Answers
Answer:
I think sample B is better.
Step-by-step explanation:
Its more careful and better
Help solve attached question.
Answers
Answer:
[tex]\mathrm{12\sqrt{5} \: \: inches}[/tex]
Step-by-step explanation:
Use Pythagorean theorem, where:
[tex]a^2+b^2=c^2[/tex]
Substitute in the values.
[tex]24^2+12^2=c^2[/tex]
[tex]c^2=576+144[/tex]
[tex]c^2=720[/tex]
[tex]c=\sqrt{720}[/tex]
[tex]c=12\sqrt{5}[/tex]
[tex]c=26.83281[/tex]
What is the relative change from 6546 to 4392
Answers
Answer:
The relative change from 6546 and 4392 is 49.04
Step-by-step explanation:
A data set is shown in the table. The line of best fit modeling the data is y = 2.69x – 7.95.
Answers
Answer:
It’s 0.12
Step-by-step explanation:
Took test
If Line segment C B. bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three options.
m∠ABC = 125° and AB ≅ DB
ΔACD is isosceles with base AD
ΔABD is isosceles with base AD
CD = 52 cm
AB = 29 cm
Answers
Answer:
Option (1)
Step-by-step explanation:
In the figure attached,
BC is the angle bisector of angle ACD.
To prove ΔABC and ΔDBC congruent by SAS property we require two sides and the angle between these sides to be congruent.
Since BC ≅ BC [Reflexive property]
∠ABC ≅ ∠CBD ≅ 125°
And sides AB ≅ BD
Both the triangles will be congruent.
Therefore, additional information required to prove ΔABC ≅ ΔDBC have been given in option (1).
Therefore, Option (1) will be the answer.
The additional information that could be used to prove ΔABC ≅ ΔDBC
using SAS are;
m∠ABC = 125° and [tex]\overline{AB}[/tex] ≅ [tex]\overline{DB}[/tex] ΔACD is isosceles, with base [tex]\overline{AD}[/tex][tex]\overline{CD}[/tex] = 52 cmReasons:
The given information are;
[tex]\overline{CB}[/tex] bisects ∠ACD
The given information from the diagram are;
[tex]\overline{AC}[/tex] = 52 cm
[tex]\overline{BD}[/tex] = 29 cm
∠CBD = 125°
Solution;
First selected option; m∠ABC = 125° and [tex]\overline{AB}[/tex] ≅ [tex]\overline{DB}[/tex]
m∠ABC = 125° and [tex]\overline{AB}[/tex] ≅ [tex]\overline{DB}[/tex][tex]\overline{CB}[/tex] ≅ [tex]\overline{CB}[/tex] (reflexive property)
ΔABC ≅ ΔDBC (SAS rule of congruency)
Second selected option; ΔACD is isosceles, with base [tex]\overline{AD}[/tex]
∠ACB ≅ ∠DCB (definition of angle bisector)
ΔACD is isosceles, with base [tex]\overline{AD}[/tex] (Additional information)[tex]\overline{CD}[/tex] ≅ [tex]\overline{AC}[/tex] (definition of isosceles triangle)
[tex]\overline{CB}[/tex] ≅ [tex]\overline{CB}[/tex] (reflexive property)
ΔABC ≅ ΔDBC (SAS rule of congruency)
Third selected option; [tex]\overline{CD}[/tex] = 52 cm
∠ACB ≅ ∠DCB (definition of angle bisector)
[tex]\overline{CD}[/tex] = 52 cm = [tex]\overline{AC}[/tex] (given) (additional information)[tex]\overline{CD}[/tex] ≅ [tex]\overline{AC}[/tex] (definition of congruency)
[tex]\overline{CB}[/tex] ≅ [tex]\overline{CB}[/tex] (reflexive property)
ΔABC ≅ ΔDBC (SAS rule of congruency)
The Side-Angle-Side, SAS, rule of congruency states that two triangles are
congruent if two sides and an included angle of one triangle are
congruent to the corresponding two sides and included angle on the other
triangle.
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According to the Center for Disease Control and Prevention (CDC), up to 20% of Americans contract the influenza virus each year, and approximately 3% of all births in the United States result in birth defects each year. Consider two babies being born independently of one another. 1. The probability that both babies have birth defects is;______ a. 0.0009. b. 0.0400.c. 0.0606. d. 0.2000. 2. The probability that neither baby catches the flu in a given year is:_____ a. 0.024. b. 0.040. c. 0.230 d. 0.640. 3. Event A occurs with probability 0.1. Event B occurs with probability 0.6. If A and B are independent, then:______ a. P(A and B) = 0.06. b. P(A or B) = 0.70. c. P(A and B) = 0.70. d. P(A or B) = 0.06. 4. Event A occurs with probability 0.2. Event B occurs with probability 0.9. Event A and B:______ are disjoint cannot be independent. cannot be disjoint. are reciprocating. The center for Disease Control and Prevention reports that the rate of Chlamydia infections among American women ages 20 to 24 is 2791.5 per 100,000. Take a random sample of three American women in this age group. 5. The probability that all of them have a Chlamydia infection is:_____ a. nearly 0. b. 0.028. c. 0.084. d. 0.837 6. The probability that none of them have a Chlamydia infection is:_______ a. 0.084. b. 0.919. c. 0.972. d. nearly 1.
Answers
Answer:
(1) a. 0.0009
(2) d. 0.640
(3)
a. P(A and B) = 0.06. b. P(A or B) = 0.70.(4)Not disjoint
(5) a. nearly 0.
(6)b. 0.919
Step-by-Step Explanation:
(1)Probability of a baby being born with a birth defect =3%=0.03
The probability that both babies have birth defects=0.03 X 0.03= 0.0009.
(2)The probability of contracting the influenza virus each year = 20%=0.2
Therefore, the probability of not contracting the influenza virus =1-0.2=0.8
The probability that neither baby catches the flu in a given year:
=0.8 X 0.8
=0.64
(3)
P(A)=0.1
P(B)=0.6
P(A or B)=P(A)+P(B)=0.1 + 0.6 =0.7
P(A and B)=P(A)XP(B)=0.1 X 0.6 =0.06
(4)
P(A)=0.2
P(B)=0.9
Event A and B cannot be disjoint.
(5)
The probability of an American woman aged 20 to 24 having Chlamydia infection [tex]=\dfrac{2791.5}{100000}[/tex]
The probability that three randomly selected women in this age group have the infection
[tex]=\dfrac{2791.5}{100000} \times \dfrac{2791.5}{100000} \times \dfrac{2791.5}{100000} \\\\=0.00002175\\\approx 0[/tex]
(6)The probability of an American woman aged 20 to 24 not having Chlamydia infection [tex]=1-\dfrac{2791.5}{100000}[/tex]
The probability that three randomly selected women in this age group do not have the infection
[tex]=\left(1-\dfrac{2791.5}{100000}\right)^3\\\\=0.9186\\\approx 0.919[/tex]
HURRY TIMEDD!!!!!
What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = x2 − 4x + 5, and what does it mean about the number of real solutions the equation has? The discriminant is −4, so the equation has 2 real solutions. The discriminant is −4, so the equation has no real solutions. The discriminant is 35, so the equation has 2 real solutions. The discriminant is 35, so the equation has no real solutions.
Answers
Answer:
Second option is the correct choice.
Step-by-step explanation:
"The discriminant is −4, so the equation has no real solutions."
[tex]x^2-4x+5=0\\\\a=1,\:b=-4,\:c=5:\\\\b^2-4ac=\left(-4\right)^2-4\cdot \:1\cdot \:5=-4[/tex]
Best Regards!
Answer: B
The discriminant is −4, so the equation has no real solutions.
Step-by-step explanation:
Just took quiz EDG2021
Mark Brainliest
The promising alternative energy sources currently under development are fuel cell technology and large-scale solar energy power. The probabilities that these two sources will be successfully developed and commercially viable in the next 10 years are 0.70 and 0.85, respectively. The successful development of these two energy sources are statistically independent. Determine the following: a. The probability that there will be energy supplied by these two alternative sources in the next 10 years. b. The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years.
Answers
Answer:
Step-by-step explanation:
a) Denote the event of commercially availability of f_uel cell technology as F_, commercial availability of solar power technology as S
Write the probability of energy supplied by these energy sources in the next 10 years
P(energy supplied) = P(S ∪ F) -----(1)
Rewrite eqn (1)
P(energy supplied) = P(S) + P(F) - P(F) P(S) ----(2)
substitute 0.85 for P(S) and 0,7 for P(F) in eqn (2) to find the probability of energy supplied by these energy sources
P(energy supplied) = 0.85 + 0.7 - (0.7 * 0.85)
= 0.85 + 0.7 - (0.595)
= 1.55 - 0.595
= 0.955
Therefore, the probability that there will be energy supplied by these two alternative sources in the next 10 years is 0.955
B) write the probability of only one source of energy available
P(only one source of energy available) = [tex]P(\bar F S)[/tex] ∪ [tex]P( \bar S F)[/tex] ---(3)
Rewrite the equation (3)
P(only one source of energy available) =
[tex]=P(\bar F S)+P(\bar S F)\\\\=\{[1-P(F)]P(S)+[1-P(S)]P(F)\}---(4)[/tex]
[tex]=\{[1-0.7]0.85+[1-0.85]0.7\}\\\\=0.255+0.105\\\\=0.36[/tex]
Therefore,The probability that only one of the two alternative energy sources will be commercially viable in the next 10 years is 0.36