Answer:
[tex]A = (\frac{80}{3},9)[/tex]
[tex]B = (5,2.5)[/tex]
The slope is 0.3
Step-by-step explanation:
Given
[tex]y = 0.3x + 1[/tex]
[tex]A = (-,9)[/tex]
[tex]B = (5,-)[/tex]
Required:
Fill in the gap and calculate the slope
In [tex]A = (-,9)[/tex]
[tex]y = 9[/tex] and x is ??
Substitute 9 for y in [tex]y = 0.3x + 1[/tex]
[tex]9 = 0.3x + 1[/tex]
Collect Like Terms
[tex]0.3x = 9 - 1[/tex]
[tex]0.3x = 8[/tex]
[tex]x = \frac{8}{0.3}[/tex]
[tex]x = \frac{80}{3}[/tex]
So:
[tex]A = (-,9)[/tex]
[tex]A = (\frac{80}{3},9)[/tex]
In [tex]B = (5,-)[/tex]
[tex]x = 5[/tex] and y is ??
Substitute 5 for x in [tex]y = 0.3x + 1[/tex]
[tex]y = 0.3 * 5 + 1[/tex]
[tex]y = 1.5 + 1[/tex]
[tex]y = 2.5[/tex]
So:
[tex]B = (5,-)[/tex]
[tex]B = (5,2.5)[/tex]
Calculating the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{2.5-9}{5 - \frac{80}{3}}[/tex]
[tex]m = \frac{-6.5}{\frac{15- 80}{3}}[/tex]
[tex]m = \frac{-6.5}{\frac{-65}{3}}[/tex]
[tex]m = \frac{-6.5*3}{-65}[/tex]
[tex]m = \frac{-19.5}{-65}[/tex]
[tex]m = 0.3[/tex]
The following function is probability Distribution function.
F(x)=6x+1/25, x=0, 1, 2, 3, 4.
Determine the mean, μ, and variance, σ2, of the random variable. Round your answers to two decimal places.
Answer:
9.60 ; - 60.96
Step-by-step explanation:
Given the function :
F(x)=6(x+1) /25, x=0, 1, 2, 3, 4.
x = 0
F(0)=6(0+1)/25 = 6/25 = 0.24
x = 1
F(1)=6(1+1)/25 = 12/25 = 0.48
x = 2
F(2)=6(2+1)/25 = 18/25 = 0.72
x = 3
F(2)=6(3+1)/25 = 24/25 = 0.96
x = 4
F(2)=6(4+1)/25 = 30/25 = 1.2
X ______0 _____ 1 ______ 2 ______ 3 ____ 4
P(x) ___ 0.24 __ 0.48 ___ 0.72 ____ 0.96 __ 1.2
Mean, μ = Σx*p(x) :
(0*0.24) + (1*0.48) + (2*0.72) + (3*0.96) + (4*1.2)
= 9.60
Variance : Σx²*p(x) - μ²
(0^2*0.24) + (1^2*0.48) + (2^2*0.72) + (3^2*0.96) + (4^2*1.2) - 9.6^2
= 31.2 - 92.16
= - 60.96
Numbers A set of 25 two digit numbers are listed below.
10 17 20 23 24 28 32 39 42 45 46 52 55
58 61 65 66 72 75 78 79 85 94 97 98
Choose one of these numbers at random. Find the probability of the following results.
The sum of the number's digits is odd??
Answer:
14/25
Step-by-step explanation:
The probability that the sum of the number digits is odd is 13/ 25.
What is probability?Probability is the possibility of the outcome of any random event.
We have,
Set A = 10, 17, 20, 23, 24, 28, 32, 39, 42, 45, 46, 52, 55, 58, 61, 65, 66, 72, 75, 78, 79, 85, 94, 97, 98
We have to see the number whose sum is odd.
10 = 1 + 0 = 1 (odd)
17 = 1 + 7 = 8 (even)
20 = 2 + 0 = 2 (even)
23 = 2 + 3 = 5 (odd)
24 = 2 + 4 = 6 (even)
28 = 2 + 8 = 10 (even)
32 = 3 + 2 = 5 (odd)
39 = 3 + 9 = 12 (even)
42 = 4 + 2 = 6 (even)
45 = 4 + 5 = 9 (odd)
46 = 4 + 6 = 10 (even)
52 = 5 + 2 = 7 (odd)
55 = 5 + 5 = 10 (even)
58 = 5 + 8 = 13 (odd)
61 = 6 + 1 = 7 (odd)
65 = 6 + 5 = 11 ( odd)
66 = 6 + 6 = 12 (even)
72 = 7 + 2 = 9 (odd)
75 = 7 + 5 = 12 (even)
78 = 7 + 8 = 15 (odd)
79 = 7 + 9 = 16 (even)
85 = 8 + 5 = 13 (odd)
94 = 9 + 4 = 13 (odd)
97 = 9 + 7 = 16 (even)
98 = 9 + 8 = 17 (odd)
We see that there are 13 numbers whose sum is odd.
The probability that the sum of the number digits is odd:
= 13 / 25
Thus the probability that the sum of the number digits is odd is 13/ 25.
Learn more about probability here:
https://brainly.com/question/11034287
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Gabriel contributes 19% of the total cost of bis health care coverage. He pays $38.80 every week towards this contribution. How much does his employer contribute to his health care coverage for the year?
Around $160.
Hope this helps a little bit.
during one year, a family made 4 trips to the water park. the distance from their house to the water park is 39 miles. how many miles did the family drive in 4 trips
Answer:
156 Miles in 4 trips.
Step-by-step explanation: 39*4=156
Answer:
156 Miles
Step-by-step explanation:
If they drove 4 trips and each trip is 39 miles you would multiply 4x39
11. A spinner is divided into 12 equal sections. Five of the sections are labeled with
Even numbers, three sections are labeled with vowels, and four of the sections are
labeled with odd numbers. What is the probability of spinning an odd number? Writeyour answer as a fraction fully reduced.
12. You are choosing an outfit. You can choose from blue jeans, black joans or joggers (3 cholcos).
You can choose from a white tee shirt, Orange too shirt, or gray sweatshirt (3 choices). Finally, you
can choose from your Vans or Crocs (2 choices)
a. A tree diagram would have how many branches? (so how many total choices would there be if
you mutipan 18 choices
b. The counting principal would look like what?
Write your answer like a xbxcxd with you putting in numbers for the letters
c. How many different ways can she choose to write the outfit ?
d. What is the probability that you will choose the joggers, orange tee shirt and Croos? Write your answer as a fraction: a/b with a and being numbers?
Answer:
Probability of spinning an odd number = 1/3
Step-by-step explanation:
4 odd out of 12 sections
Probability of spinning an odd number = 4/12 = 1/3
A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal.
A rhombus ABCD is shown with diagonal AC equal to 12.6 feet and diagonal BD equal to 10.4 feet.
What is the area of the farm? (1 point)
9514 1404 393
Answer:
65.52 square feet
Step-by-step explanation:
The area of a rhombus is half the product of the diagonals.
A = (1/2)ab
A = (1/2)(12.6 ft)(10.4 ft) = 65.52 ft²
The area of the farm is 65.52 square feet.
Which of the following'illustrates the truth value of the given conditional statement?
p: 10 > 7
q. 10 > 5
~p→q
Step-by-step explanation:
?I'm not sure what you are trying to say
I NEED HELP!!!... WHATS THE ANWSER FOR THIS??
plz help me really really fast this is my last question to work on
Answer:
$5
Step-by-step explanation:
25 = 4e + 5
20 = 4e
5 = e
reach eraser costs $5.
Need help on math question 20 points and brainlest
Answer:
Im pretty sure the answer is 3.75
Im im wrong im sorry
Answer:
3.75 cm
Step-by-step explanation:
i’m stuck please help me
As Sally and George practice for the SAT their scores on practice test rise Sally’s current score is 850 and it is rising by 10 points per week on the other hand George’s current score is 570 and is growing by 50 points per week
a)
when will Georgia score catch up to Sally’s?
B) if the SAT test is in 12 weeks who will score the highest?
Please show all work !!
Answer:
a) 7 weeks b) George's
Step-by-step explanation:
Sally's score can be modeled by 10x+850.
George's score can be modeled by 50x+570.
We can set them equal to each other to see when they intersect.
10x+850=50x+570
40x=280
x=7
If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.
The solution are, a) 7 weeks
b) George's
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
Sally's score can be modeled by 10x+850.
George's score can be modeled by 50x+570.
We can set them equal to each other to see when they intersect.
10x+850=50x+570
40x=280
x=7
If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.
To learn more on equation click:
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A line passes through the point (-8, 6) and has a slope of
5
Write an equation in slope-intercept form for this line.
Answer:
Step-by-step explanation:
y - 6 = 5(x + 8)
y - 6 = 5x + 40
y = 5x + 46
what is the correct order of the numbers from least to greatest. 1/2, 0.6, 6%, 6/5
Answer:
6%, 1/2, 0.6, 6/5
Step-by-step explanation:
Answer:
6%, 1/2, 0.6, 6/5
Step-by-step explanation:
you can convert all of these to fractions over a 100 to compare them. 6 percent is 6/100, 1/2 is 50/100, .6 is 60/100, and 6/5 is 125/100
1. Circle the figure you would use to make the Escher‐like tessellation given,
Answer:
C.
Step-by-step explanation:
Answer:
I got C.
Step-by-step explanation:
(It's on my math paper)
Question 6
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Match the name of the sampling method descriptions given.
Situations
pulling 50 names from a hat
MI divide the population by age and select 5 people from each age
Vask all the students in your math class
Mi call every 15th phone number on every 5th page of the phone book
Sampling Method
a. Stratified
b. Systematic
c. Simple Random
d. Convenience
Answer:
C.
Step-by-step explanation
shes pulling RANDOM names. key word random, hope this helped
find the area of a triangle with a base and height of 1/3 and 1/4
Answer: 1/12
Step-by-step explanation:
Multiply 1/3 by 1/4. Or just multiply 3 by 4.
3 x 4 = 12
Therefore, the answer is 1/12.
The width of a rectangle is the length minus 3 units.The area of the rectangle is 10 units. What is the width, in units, of the rectangle?
Answer:
2 units
Step-by-step explanation:
It's because the only whole number factor pair to 10 is 2x5 and luckily, it turned out that 5-3=2, so there are no decimals or fractions.
A game is packaged in a box. Each game cube has a side length of 2 inches.
How many games can be packed inside of a box whose dimensions are 1 foot by 1 foot by 2 feet?
3456 games
8 games
432 games
8 cubic inches
Answer:
432
Step-by-step explanation:
6 games x 6 games x 12 games = 432 games
B. 9.526 to the nearest tenth
C. 19.826 to the nearest whole number
Help Me :^
What is the quotient?
~Negative StartFraction 3 over 8 EndFraction divided by negative one-fourth~
a. Negative 1 and one-half
b. Negative StartFraction 3 over 32 EndFraction
c. StartFraction 3 over 32 EndFraction
d. 1 and one-half
Answer:
d
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by the reciprocal of the fraction.
Answer:
d madam
Step-by-step explanation:
edge 2021
please help PLEASE help
Answer:
14:1
Step-by-step explanation:
To find out how many kids go in each group, do 406 divided by 29, which gives you 14, therefore 14 students will go to each teacher, or 14:1
Answer: J 14 students over 1 teacher.
Step-by-step explanation:
divide 406 by 14 and you’ll get 29
A beverage distributor has a facility that bottles beer. Beer bottles are supposed to be filled to 12 oz but there are slight variations. As part of quality control, they randomly sample bottles of beer and measure how many ounces they contain. In the most recent sample, the found an average fill of 12.01 oz with a standard deviation of 0.89. Quantitative Question 2a If one of the bottles of sampled beer was filled to 10.98 oz, what is its associated zscore
Answer:
Its associated z-score is -1.16.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In the most recent sample, the found an average fill of 12.01 oz with a standard deviation of 0.89.
This means that [tex]\mu = 12.01, \sigma = 0.89[/tex].
If one of the bottles of sampled beer was filled to 10.98 oz, what is its associated zscore
This is Z when X = 10.98. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{10.98 - 12.01}{0.89}[/tex]
[tex]Z = -1.16[/tex]
Its associated z-score is -1.16.
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
By creating some crops that resist certain insects
Step-by-step explanation:
Answer:
Aww man i wasn't the earliest
Step-by-step explanation:
By creating some crops that resist certain insects
Two sailboats and their triangular sails are shown in the image below.
The top angles of the two sails are congruent. Based on the information in the image, what is the height of the smaller sail
10.1
11.025
5.9
6.4
Answer:
6.4 i promise
Step-by-step explanation:
Answer: 6.4
Step-by-step explanation:
The selling prices on
distributed with a mean of $221,000 and a standard deviation of $30,000.
Helpppp need it fast plz
Answer:
B
Step-by-step explanation:
4 is a lot less than the others
yez
Diego has 48 chocolate chip cookies, 64 vanilla cookies, and 100 raisin cookies for a bake sale. He wants to make the greatest number of bags that have all three cookie flavors and the same number of each flavor per bag. How many bags can he make without having any cookies left over? How many vanilla cookies will be in each bag?
Answer:
48 bags max if all 3 flavors must be in the bag. One flavor each in the bag.
I don't understand the other questions since the number of cookies per is not given nor the flavor mix
What percent is 45 of 72?
Answer:
32.4
32.4 is 45% of 72
Step-by-step explanation:
Solution:
What is 45% of 72?
Y is 45% of 72
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 45% * 72
Converting percent to decimal:
p = 45%/100 = 0.45
Y = 0.45 * 72
Y = 32.4
Which expression is equivalent to d
6d – 3d?
Answer:
d (d^6-3)
the 6 is the exponent
Step-by-step explanation: