Answer:
y= 3x-2
Step-by-step explanation:
standard form
y= mx + c
c represents y intercept
m represents slope or gradient
y= 3x-2
The slope is 3 and the y intercept in -2
2. Scotts American Bulldog males have weights that are normally distributed with
a mean of 85 pounds and a standard deviation of 14.6 pounds. Female American
Bulldog have weights that are normally distributed with a mean of 69 pounds and
a standard deviation of 8.8 pounds. We take a sample of 9 male and 8 female
American bulldogs. What is the probability that the difference in mean weight of
the samples (Male - Female) is greater than fifteen pounds? (Please attach your
work).
Answer:
0.5675 = 56.75% probability that the difference in mean weight of the samples is greater than fifteen pounds.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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 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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal variables:
When we subtract two normal variables, the mean of the subtraction distribution is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
Scotts American Bulldog males have weights that are normally distributed with a mean of 85 pounds and a standard deviation of 14.6 pounds.
This means that [tex]\mu = 85, \sigma = 14.6[/tex]
Sample of 9 male bulldogs:
By the Central Limit Theorem:
[tex]n = 9, \mu_M = 85, s_M = \frac{14.6}{\sqrt{9}} = 4.8667[/tex]
Female American Bulldog have weights that are normally distributed with a mean of 69 pounds and a standard deviation of 8.8 pounds.
This means that [tex]\mu = 69, \sigma = 8.8[/tex]
Sample of 8 female bulldogs:
By the Central Limit Theorem:
[tex]n = 8, \mu_F = 69, s_F = \frac{8.8}{\sqrt{8}} = 3.1113[/tex]
Subtraction of Male by Female:
[tex]\mu_S = \mu_M - \mu_F = 85 - 69 = 16[/tex]
[tex]s_S = \sqrt{s_M^2+s_F^2} = \sqrt{4.8667^2+3.1113^2} = 5.7762[/tex]
What is the probability that the difference in mean weight of the samples (Male - Female) is greater than fifteen pounds?
This is 1 subtracted by the pvalue of Z when X = 15. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
With our distribution(subtraction)
[tex]Z = \frac{X - \mu_S}{s_S}[/tex]
[tex]Z = \frac{15-16}{5.7762}[/tex]
[tex]Z = -0.17[/tex]
[tex]Z = -0.17[/tex] has a pvalue of 0.4325
1 - 0.4325 = 0.5675
0.5675 = 56.75% probability that the difference in mean weight of the samples is greater than fifteen pounds.
One morning, the temperature outside was -3°F. By 5:00PM the temperature had decreased 15°F. What was the temperature at 5:00 PM?
a. -18°F b. -12°F C. 12°F d. 18°F
Answer:
A.
Step-by-step explanation:
If the temperature was -3°F at first, but had decreased 15°F degrees by 5:00pm, it would be -18°F.
-3 - 15 = -18
Correct me if I end up being wrong.
Find the value of x in the isosceles triangle 40 inches and 25inches
Answer:
x = fifteen
Step-by-step explanation:
no explanation i know the answer
Find the coordinates of the circumcenter of the triangle with the given vertices.
A(2, 6), B(8, 6), C(8, 10)
The circumcenter is
9514 1404 393
Answer:
(5, 8)
Step-by-step explanation:
The circumcenter of a right triangle is the midpoint of the hypotenuse.
O = (A +C)/2
O = ((2, 6) +(8, 10))/2 = (2+8, 6+10)/2
O = (5, 8)
The circumcenter is (5, 8).
3x+(-2+4x) . In standard form
WRITE IT IN STANDARD FORM
3x+(-2+4x)
Add 3x and 4x.
Answer:
[tex]7x + 2[/tex]Hope It helps
what is the answer to : 1.3(4.9 + 6k)
Answer:
you'd get the expression 6.37+7.8k
Show your work to get full credit. Solve the following problem with any method you want.
1.5 x 0.32
Answer:0.48
Step-by-step explanation:
Answer:
0.48
Step-by-step explanation:
1.5 = 1 + 0.5
1.5 x 0.32 = 1 x 0.32 + 0.5 x 0.32
= 0.32 + 0.16
= 0.48
What is 4^3 in exponential form
Step-by-step explanation:
4^3=4×4×4=64 is answer
Answer:
[tex]4^{3}[/tex]
Step-by-step explanation:
Its in exponential form already the exponent is 3.
4 × 4 × 4 (standard form)
And then the actual answer will be 64....4 × 4 × 4 = 16 × 4 = 64
Hope this helped!
Have a supercalifragilisticexpialidocious day!
use square root property to solve for k
(k+5)= -24
Answer:
k= -29
Step-by-step explanation:
I need help once more (●'◡'●)
Answer:
3= 25 4= 20 25= 5
Step-by-step explanation:
its a pattern. the top goes up by ones and the bottom goes up by fives.
help with this plz brainliest
Answer:
5. b 6. c 7. d 8. a
Step-by-step explanation:
£800 is paid into a bank account that pays 3% simple interest
annually.
How much will be in the account after 1 year
Answer:
£824
Step-by-step explanation:
3% of 800 + 800
1% = ÷100
800 ÷ 100 = 8
8×3=3%=24
800 +24 =£824
(transformasi laplace) tentukan L { f ( t ) } apabila f(t) masing masing fungsi berikut. f(t)= 5t^3 - 6sin2t + 4e^-4t
Answer:..................................................................
25x89 divided by 1/4
Answer:
8900
Step-by-step explanation:
25x89=2225
2225/(1/4)= 8900
(1). There are always 4 bars of chocolates,
left when box of chocolates shared
equally among 8, 10, or 12 children.
Find the smallest number of chocolates
in the box,
Answer:
The smallest number of chocolates in the box is 124.
Step-by-step explanation:
There are always 4 bars of chocolates left in the box when they are share equally among 8, 10, or 12 children.
This means that the smallest number of chocolates in the box is 4 added to the least common multiple of 8, 10 and 12.
LCM(8,10,12).
We factore them by prime factors until all are 1. So
8 - 10 - 12|2
4 - 5 - 6|2
2 - 5 - 3|2
1 - 5 - 3|3
1 - 5 - 1|5
1 - 1 - 1
So
lcm(8,10,12) = 2*2*2*3*5 = 8*15 = 120
Adding 4: 120 + 4 = 124
The smallest number of chocolates in the box is 124.
Which graph shows three points that represent equivalent ratios?
hurry plz
Answer:
it will be c because you see the points on the grid if its wrong my bad
Step-by-step explanation:
-5х + Зу = -8
3х - 7y = -3
Answer:
wrong
Step-by-step explanation:
-5x + 3y, you can’t add those together since they aren’t like numbers
3x - 7y, can’t be done either since again, they aren’t like numbers.
like numbers include the same variable or no variable, which means you cant do -5x + 3y but you can to -5x + 3x. you can add those together since both of the numbers have the variable “x” while 3y and 7y have the same variable “y” therefore those can be added together.
since there isn’t a way to add those, both of those answers are not only wrong, but they’re also in simplest form.
hi any help would be useful in struggling! thank you
Answer:
ADD MORE POINTS THEN WE CAN TALK HUN THANK ME LATER HUN FOU
Step-by-step explanation:
2x+2 (1-4X) = 88-5 (x+4)7x + 2
Answer:
x=4/7
Step-by-step explanation:
Determine the MEDIAN of the following numbers: 8, 11, 11, 12, 13, 15, 16, 16,
18, 21
15
13
14
21
Answer:
Step-by-step explanation:
Determining Median is super easy!
1. Order the numbers, in ascending order.
8, 11, 11, 12, 13, 15, 16, 16, 18, 21
2. Cross off one number from both ends until you reach the middle number, whether you're left with one or two.
11, 11, 12, 13, 15, 16, 16, 18
11, 12, 13, 15, 16, 16
12, 13, 15, 16
13, 15
3. Determine the average of these two numbers.
(13 + 15) / 2
28 / 2
14
The median for this set of data is 14.
P.S. the average only needs to be calculated when left with two numbers, if you are left with only one, that number is your answer!
Hope this helps :)
Answer:
The median of the following numbers is 14
Step-by-step explanation:
If 7/8 gallon of soil contains 1/8 the amount of soil a landscaper needs to fill a hole completely how much soil does it take to fill the hole
Answer:
1 gallon
Step-by-step explanation:
A population of bacteria P is changing at a rate based on the function given below, where t is time in days. The initial population (when t = 0) is 900. dP dt = 2900 1 + 0.25t Write an equation that gives the population at any time t. Then find the population when t = 2 days. (Round your answer to the nearest whole number.)
Choose all the statements that are true about the graph.
Answer:
f(x) is negative when x < 9f(x) is increasing when x < 1The x-intercept is 9Step-by-step explanation:
The function is
f(y) = (y + 2)³ + 1
How do i solve this? and what’s the answer?
Answer:
x = 18
Step-by-step explanation:
The line joining 2 midpoints of the non parallel sides of a trapezoid is 1/2 the sum of the two parallel lines.
Put in much simpler language XY = 1/2 (BC + AD)
4x - 2 = 1/2 (6x + 1 + x) Combine the right
4x - 2 = 1/2 (7x + 1) Multiply by 2
8x - 4 = 7x + 1 Add 4 to both sides
8x = 7x + 5 Subtract 7x
x = 5
But what you want is the length of XY
XY = 4x - 2 = 4*5 - 2 = 18
Sorry I noticed too late that I used x for s. The answer would still be 18.
30% of the students are absent from math class. If there are normally 30 students, how many are missing?
A doggie daycare center requires that there be 4 staff members for every 12 dogs.
Write an equation that shows the relationship between n, the number of supervisors, and d, the number of dogs.
Part 2 At the doggie daycare center from before, how many employees would need to be staffed if they had scheduled 19 dogs. Justify your answer by writing a few sentences explaining your thought process.
Answer:
Step-by-step explanation: Turn this into an equation for every 3 dogs there is 1 staff...
Part 2 around 57 staff bec for every 3 dog there is 1 staff so 19* 1 = 19
Tina is going on a 5 day trip. She has 1 blue shirt, 1 red shirt, 1 white shirt, 1 green shirt, and 1 grey shirt. What is the probability that Tina will wear blue on the first day of her trip and then wear grey on the second day of her trip?
Answer:
1/20
Step-by-step explanation:
1/5 chance she will wear the blue shirt on the first day and 1/4 chance she will wear a grey shirt on the second day.
1/5 X 1/4 = 1/20
Answer:
i got 1/20 as my answer
Raj weighs a book and rounds the weights to the nearest tenth. Does this weight round to 1.5 pounds?
1.52
A sum of two mixed numbers is given.
What is the missing number?
Answer:
16.
Step-by-step explanation:
The whole numbers stay the same so it stays as 2. The way they get 30 for the denominator is by multiplying the fraction 1/3 by 10 and 1/5 by 6. So now we have 10/30 and 6/30. Add them together, 10+6=16
Question 1 (1 point)
(07.03)
Evaluate log3 9. (1 point)
a
2
b
3
c
0.33
d
0.5
Question 2 (1 point)
(07.03)
Evaluate log8 12. (1 point)
a
0.84
b
0.67
c
1.50
d
1.19
Question 3 (1 point)
(07.03)
Evaluate ln 7. (1 point)
a
0.51
b
1.95
c
0.85
d
1.61
Question 4 (1 point)
(07.03)
Write log4 14 as a logarithm of base 3. (1 point)
a
log base 4 of 3 over log base 14 of 3
b
log base 14 of 3 over log base 4 of 3
c
log base 3 of 4 over log base 3 of 14
d
log base 3 of 14 over log base 3 of 4
Question 5 (1 point)
(07.03)
Write log6 5 as a logarithm of base 4. (1 point)
a
log base 4 of 5 over log base 4 of 6
b
log base 4 of 6 over log base 4 of 5
c
log base 5 of 4 over log base 6 of 4
d
log base 6 of 4 over log base 5 of 4
Question 6 (1 point)
(07.03)
Solve log4 (y − 9) + log4 3 = log4 81. (1 point)
a
y = 30
b
y = 36
c
y = 87
d
y = 108
Question 7 (1 point)
(07.03)
Simplify 5 log2 k − 8 log2 m + 10 log2 n. (1 point)
a
7 log2 (k − m + n)
b
7 log2kn over m
c
log250 kn over 8 m
d
log2k to the fifth power n to the tenth power over m to the eighth power
Question 8 (1 point)
(07.03)
Solve 2 log x = log 36. (1 point)
a
x = ±6
b
x = 6
c
x = 18
d
x = 72
Question 9 (1 point)
(07.03)
Solve 4 log12 2 + log12 x = log12 96. (1 point)
a
x = 88
b
x = 80
c
x = 12
d
x = 6
Question 10 (1 point)
(07.03)
Solve 2 log2 2 + 2 log2 6 − log2 3x = 3. (1 point)
a
x = 2
b
x = 6
c
x = 16
d
x = 18
Answer:
1. a, 2. d, 3. b, 4. d, 5. a, 6. b, 7. d, 8. a, 9. d, 10. bStep-by-step explanation:
Question 1
log3 9 = log 3 3² = 2Question 2
log8 12 = log 12/log 8 = 1.19Question 3
ln 7 = log 7 / log e = 1.95Question 4
log4 14 as a logarithm of base 3 log4 14 = log3 14/ log3 4Question 5
log6 5 as a logarithm of base 4 log6 5 = log4 5/ log4 6Question 6
log4 (y − 9) + log4 3 = log4 81log4 (3y - 27) = log4 813y - 27 = 813y = 108y = 36Question 7
5 log2 k − 8 log2 m + 10 log2 nlog2 k^5 - log2 m^8 + log2 n^10 =log2 (k^5n^10/m^8)Question 8
2 log x = log 36 log x^2 = log 36x^2 = 36x = √36x = ± 6Question 9
4 log12 2 + log12 x = log12 96 log12 16x = log12 9616x = 96x = 6Question 10
2 log2 2 + 2 log2 6 − log2 3x = 3log2 (4*36/3x) = 348/x = 2^348/x = 8x = 48/8x = 6