Answer:
(0,-7) is the y-intercept
Step-by-step explanation:
he first date went well. You are still dating the same person and still looking for a great person to spend your life with. You are cautiously moving forward with the relationship and know that if they are a great match, their likelihood of being kind to animals is 0.9 whereas their likelihood of being kind to animals if they are not a great match is 0.7. You see that your prospective spouse is kind to animals. What is the probability that they are a great match now?
Answer:
0.125 = 12.5% probability that they are a great match now.
Step-by-step explanation:
To solve this question, we need the probability of a person being a great match, which i will use 0.1.
This question is solved using conditional probability.
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Is kind to animals.
Event B: Is a great match.
Probability of being kind to animals:
0.9 of 0.1(Is a great match).
0.7 of 1 - 0.1 = 0.9(is not a great match). So
[tex]P(A) = 0.9*0.1 + 0.7*0.9 = 0.72[/tex]
Probability of being kind to animals and a great match:
0.9 of 0.1. So
[tex]P(A \cap B) = 0.9*0.1 = 0.09[/tex]
What is the probability that they are a great match now?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]
0.125 = 12.5% probability that they are a great match now.
PLZ RESPOND AS SOON AS POSSIBLE
What point is located at (-2, -6)
a. F
b. G
c. H
d. K
Answer:
Can we get an image of the graph
Step-by-step explanation:
A magazine subscription runs several promotions. Customers can choose from the following deals:
Option A: 15% off an annual subscription of $86
Option B: pay $6.50 per month
How much will a customer save by purchasing the annual subscription overpaying per month?
8x/2 = 24, what value for x makes this equation true?
Answer:
x=6
Step-by-step explanation:
8x/2= 24
8x = 24× 2
8x= 48
8x÷8 = 48÷8
x= 6
Answer:
6
Step-by-step explanation:
multiply both sides by 2/8 to isolate x.
8/2x=24
2/8(8/2)x=2/8(24)
x=48/8
x=6
Help Please!! Struggling with this for a while
Answer:
Area of triangle ABC = 6 square units
Step-by-step explanation:
By applying Pythagoras theorem in right triangle ADC,
AC² = AD² + CD²
3² = (1.8)² + CD²
9 - 3.24 = CD²
CD = √5.76
CD = 2.4 units
By applying mean ratio theorem,
[tex]\frac{AD}{CD}=\frac{CD}{DB}[/tex]
CD² = AD × DB
(2.4)² = 1.8 × DB
DB = [tex]\frac{5.76}{1.8}[/tex]
DB = 3.2 units
AB = AD + DB
AB = 1.8 + 3.2
AB = 5 units
Since, area of a triangle ABC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(\text{AB})(\text{CD})[/tex]
= [tex]\frac{1}{2}(5)(2.4)[/tex]
= 6 square units
Brandon's car used 3/4 of a gallon to travel 13 1/2 miles. How many miles can the car go
on one gallon of gas?
Answer:
12
Step-by-step explanation:
Brandon's car can go in one gallon gas= 18 miles
Step-by-step explanation:Definition of gallonIn the United States, the gallon is a unit of measurement for liquids such as gasoline, water, and milk. If your car's tank is nearly empty, you should stop and purchase at least a few additional gallons of gas. A gallon of liquid is equal to 4 quarts or 3.785 liters.
Brandon's car used 3/4 of a gallon to travel 13 1/2 miles.
3/4 of a gallon(G)= 13 1/2 miles
3/4*G=27/2
G=18 miles
Hence, Brandon's car can go in one gallon gas= 18 miles.
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Sebastian says that the graph below shows the solution set of the inequality 2.5x≥−20. Do you agree?
Answer:
There is not a graph.
Step-by-step explanation:
You forgot to include the screenshots.
A toy has been marked up by 75%. The tag lists the price as $63. Find the wholesale price.
Answer:
110.25
Step-by-step explanation:
You do 1.75 because it is a mark up and ur paying 175 percent
Jacob Lee is a frequent traveler between Los Angeles and San Diego. For the past month, he wrote down the flight times in minutes on three different airlines. The results are:
Goust Jet Red Cloudtran
51 50 52
51 53 55
52 52 60
42 62 64
51 53 61
57 49 49
47 50 49
47 49
50 58
60 54
54 51
49 49
48 49
48 50
Required:
a. Use the α =0.05 significance level and the six-step hypothesis-testing process to check if there is a difference in the mean flight times among the three airlines.
b. Develop a 95% confidence interval for the difference in the means between Goust and Cloudtran
Solution :
We know that
[tex]$H_0: \mu_1 = \mu_2=\mu_3$[/tex]
[tex]$H_1 :$[/tex] At least one mean is different form the others (claim)
We need to find the critical values.
We know k = 3 , N = 35, α = 0.05
d.f.N = k - 1
= 3 - 1 = 2
d.f.D = N - k
= 35 - 3 = 32
SO the critical value is 3.295
The mean and the variance of each sample :
Goust Jet red Cloudtran
[tex]$\overline X_1 =50.5$[/tex] [tex]$\overline X_2 =50.07143$[/tex] [tex]$\overline X_3 =55.71429$[/tex]
[tex]$s_1^2=19.96154$[/tex] [tex]$s_2^2=14.68681$[/tex] [tex]$s_3^2=36.57143$[/tex]
The grand mean or the overall mean is(GM) :
[tex]$\overline X_{GM}=\frac{\sum \overline X}{N}$[/tex]
[tex]$=\frac{51+51+...+49+49}{35}$[/tex]
= 52.1714
The variance between the groups
[tex]$s_B^2=\frac{\sum n_i\left( \overline X_i - \overline X_{GM}\right)^2}{k-1}$[/tex]
[tex]$=\frac{\left[14(50.5-52.1714)^2+14(52.07143-52.1714)^2+7(55.71426-52.1714)^2\right]}{3-1}$[/tex]
[tex]$=\frac{127.1143}{2}$[/tex]
= 63.55714
The Variance within the groups
[tex]$s_W^2=\frac{\sum(n_i-1)s_i^2}{\sum(n_i-1)}$[/tex]
[tex]$=\frac{(14-1)19.96154+(14-1)14.68681+(7-1)36.57143}{(14-1)+(14-1)+(7-1)}$[/tex]
[tex]$=\frac{669.8571}{32}$[/tex]
= 20.93304
The F-test statistics value is :
[tex]$F=\frac{s_B^2}{s_W^2}$[/tex]
[tex]$=\frac{63.55714}{20.93304}$[/tex]
= 3.036212
Now since the 3.036 < 3.295, we do not reject the null hypothesis.
So there is no sufficient evidence to support the claim that there is a difference among the means.
The ANOVA table is :
Source Sum of squares d.f Mean square F
Between 127.1143 2 63.55714 3.036212
Within 669.8571 32 20.93304
Total 796.9714 34
Is 1/2 equal , less than or greater than 9/10
Answer:
1/2 is less than 9/10
Step-by-step explanation:
1/2 =0.5
9/10=0.9
Answer:
1/2 is less than 9/10
Step-by-step explanation:
When you change the denomenator to be equal the other denominator, 1/2 will change to 5/10. 1 x 5 = 5. 2 x 5 = 10.
So, since 9/10 is greater than 5/10, 1/2 would be less than 9/10.
What is Bc and what is ac
Answer:
Before and after current era
2. 6t - 12=48 3. 85*4=100
Answer:
2 ) 6t=48+12
t=60/6
t=10
For a quadratic equation where: 2++=0
a
x
2
+
b
x
+
c
=
0
Where: 2−4<0
b
2
−
4
a
c
<
0
How many solutions do you have?
State whether the solutions are rational, irrational, or non-real. Explain why.
Answer: No real solution
Step-by-step explanation:
Given
For the quadratic equation
[tex]ax^2+bx+c=0[/tex]
It is given that [tex]b^2-4ac<0[/tex]
[tex]D=b^2-4ac[/tex]
If [tex]D=0[/tex] roots are real and equal
If [tex]D>0[/tex] roots are real and distinct
If [tex]D<0[/tex] roots are imaginary
In this case, [tex]D<0[/tex]
So, there is no real solution for the given quadratic equation.
1. One of the acute angles of a right triangle is 28°, the other acute angle is?
Answer:
no idea
Step-by-step explanation:
cuz I don't
Find the value of the expression below when x = 27, y = - 4 , and z = 64 . 2 * root(3, x) - 5sqrt(x) + y ^ 2 answer
Answer:
-18Step-by-step explanation:
x = 27, y = - 4, z = 64Expression:
2∛x - 5√z + y² = 2∛27 - 5√64 + (-4)² = 2(3) - 5(8) + 16 = 6 - 40 + 16 = -18i need help ASEP please help me
Answer:
5
Step-by-step explanation:
it is 5 because you do 1+4=5
One number is 5 more than 4 times another. Their sum is 40. Find the two numbers.
Answer:
7 and 33
Step-by-step explanation:
Two equations:
x = 5 + 4y
x + y = 40
Substitute x for 5 + 4y:
5 + 5y = 40
5y = 35
y = 7
Substitute y for 7:
x = 5 + 4(7)
x = 33
A car travels 45 feet in 1 second. At this rate, how many miles will it travel in 1 hour?
Answer:
256 i did it before
Step-by-step explanation:
In feet the car will travel 162,000 ft. In miles it will be 30.7 rounded original is 30.68 miles. I hope this helps.
12. Which of these is not a characteristic (property) of a polygon?
A. A closed shape
B. Parallel faces
C. Made of straight lines
D. Two-dimensional
B. Parallel faces
Not all sides need to be parallel and a polygon has only 1 face unless cut
Someone pls help me I’m stuck
Answer:
center= (0, -9)
r=1
Step-by-step explanation:
formula for circle= (x-h)^2+(y-k)^2= r^2
(h, k)= center
r= radius
We know that h is 0 since (x-h)^2 is x^2.
We know k= -9 from (y+9)^2
since r^2=1
r=1
ASAP!! simplify x^-2 show work
Answer:
1/x^2
Step-by-step explanation:
exponent rule: a^-b = 1/a^b
x^-2 = 1/x^2
Answer:
[tex] \frac{1}{ {x}^{2} } [/tex]
Step-by-step explanation:
1) Remove parentheses.
[tex] {x}^{ - 2} [/tex]
2) Use negative power rule: x^-a = 1/x^a.
[tex] \frac{1}{ {x}^{ 2} } [/tex]
hence, the answer is 1/x^2.
If anyone can help me I’d appreciate it, geometry is messing me up a bit
Answer:
A) It is right
Step-by-step explanation:
∠A=∠C, because a 180° line (straight line) meats at a certain point reaching the edge, which then means that the angles of 'A' and 'C' have to be the same.
So ∠A= 45°, and ∠C= 45°.
45+45= 90
A triangle's angles add to 180°.
180-90=90
∴∠B=90°, making it a right-angled triangle.
6. Which TWO sets of numbers
have a difference of 5?
A. 12 and 7
B. 13 and 6
C. 11 and 8
D. 14 and 9
Answer:
A and D
Step-by-step explanation:
A: 12-7=5
B: 13-6=7
C: 11-8=3
D 14-9=5
Have a Fantastic Day! :D
Gavmans
add me on pinterest
Answer:
I would also add you...but i just don't WANT to
The diagram shows the radius of the circular
opening of a metal soup can.
3 in
Soup
Which of the following is closest to the area of
the opening in square centimeters?
A.
9.42 in?
C. 18.75 in?
Need Help?
B.
28.27 in
D. 113.1 in
Answer:
B. 28.27
Step-by-step explanation:
Determine the slope and the y- intercept of the line 7x +3y = -8
Answer:slope is -7/3 and x=0 y=-8/3
Step-by-step explanation:
The slope of the line is -7/3
The y-intercept of the line is -8/3.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
7x + 3y = -8
3y = -8 - 7x
3y = -7x - 8
y = (-7/3)x - 8/3
This is in the form of y = mx + c
Now,
Slope = -7/3
y-intercept = -8/3
Thus,
The slope is -7/3 and the y-intercept is -8/3.
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Find the area of the figure.
6 in.
6 in.
8 in.
4 in.
Answer:
92 inches squared
Step-by-step explanation:
6x6=36
4x(8+6)=56
56+36=92
The graph shows the amount of petrol used, in litres, against distance travelled in miles.
How many litres of petrol are used to travel 39 miles?
Answer:
Step-by-step explanation:
Each mile on the y axis is represented by the length of 1 square.Each 1/10 of a liter is represented by the width of 1 square.So you go 1 square down from 40.Travel across until you hit the red lineGo down and read the answer on the x axis.I get 2.6So to travel 39 miles, you must use 2.6 Liters of fuel.
the passing of heart through a material is called _____
Answer:
hardening of the arteries.
(3-9i)(3+9i) =
(Simplify your answer. Type your answer in the form a +bi.)
Answer:
[tex]90[/tex]
Step-by-step explanation:
Expand (3-9i)(3+9i) using the FOIL Method.
[tex]3 \times 3 + 3(9i) - 9i \times 3 - 9i(9i)[/tex]
Simplify and combine like terms.
[tex]90[/tex]
therefor, the answer is 90.