Answer:
Part--1:
We know that a equation in point-slope form is represented by:
y-y1=m
where m is the slope of the line and is a point through which the line passes.
Consider a equation in a point-slope form as:
This means that the slope of the line is: 5
and the line passes through the point (1,5).
Part--2:
Now as we know that if a line has a slope as m then the perpendicular line has a slope: -1/m
Since,
Let this perpendicular line passes through (2,6)
Hence, the equation of a line in point slope form is given by:
Step-by-step explanation:
Explain how to find the x-intercept of the function y= log5x+7 log 5 x + 7 .
Answer:
y=\log _(5)x
Step-by-step explanation:
predict the number of roses in a garden with 16 sunflowers if there are 3 sunflower in a garden with 81 roses
factor completely 16a^3-50a^2+36a
Answer: (2a+4)(8a-9)
Step-by-step explanation:
16a^3-50a^2+36a 16(36)=576
18,32( add to 50, multiply to 576)
16a^3+18a+32a+36
2a(8a-9)4(16-9)
(2a+4)(8a-9)
Fruit flies, like almost all other living organisms, have built-in circadian rhythms that keep time even in the absence of external stimuli. Several genes have been shown to be involved in internal timekeeping, including per (period) and tim (timeless). Mutations in these two genes, and in other genes, disrupt timekeeping abilities. Interestingly, these genes have also been shown to be involved in other time-related behavior, such as the frequency of wingbeats in male courtship behaviors. Individuals that carry particular mutations of per and tim have been shown to copulate for longer than individuals that have neither mutation. But do these two mutations affect copulation time in similar ways? The following table summarizes some data on the duration of copulation for flies that carry either the tim mutation or the per mutation (Beaver and Giebultowicz 2004).
Mutation Mean copulation duration (min) Standard deviation of copulation duration Sample size, n
per 17.5 3.37 14
tim 19.9 2.47 17
Assume that the copulation time data are normally distributed. Do tim and per mutations lead to different mean copulation durations? Determine the absolute value of the test statistic for the appropriate test.
Answer:
The decision Rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to states that tim and per's mutations lead to different mean copulation duration.
The test statistics is [tex]z =-2.2187[/tex]
Step-by-step explanation:
From the question we are told that
The Mutation Mean copulation duration is for per [tex]\= x_1 = 17.5[/tex]
The Mutation Mean copulation duration is for tim [tex]\= x_2 = 19.9[/tex]
The Mutation Standard deviation copulation duration for is per [tex]s _1 = 3.37[/tex]
The Mutation Standard deviation copulation duration for is tim [tex]s _2 = 2.47[/tex]
The sample size for per is [tex]n_1 = 14[/tex]
The sample size for tim is [tex]n_2 = 17[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 \ne \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\=x_1 - \= x_2 }{ \sqrt{\frac{s_1^2 }{n_1} + \frac{s_2^2 }{n_2} } }[/tex]
=> [tex]z = \frac{17.5 - 19.9 }{ \sqrt{\frac{3.37^2 }{14} + \frac{2.47^2 }{17} } }[/tex]
=> [tex]z =-2.2187[/tex]
From the z table the area under the normal curve to the left corresponding to -2.2187 is
[tex]P(Z < -2.2187) = 0.013254[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(Z <-2.2187 )[/tex]
=> [tex]p-value = 2 * 0.013254[/tex]
=> [tex]p-value = 0.02651[/tex]
Let assume that the level of significance is [tex]\alpha = 0.05[/tex]
So
From the value obtained we see that [tex]p-value < \alpha[/tex] hence
The decision Rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to states that tim and per's mutations lead to different mean copulation duration.
A robot can complete 7 tasks in 5/6 hour. Each tasks takes the same amount of time. A. How long does it take the robot to complete one tasks? B. How many tasks can the robot complete in 1 hour?
Step-by-step explanation:
5/6 = 50 minutes
50 divided by 7 = (your answer)
A solid cuboid of dimensions 12 cm x 18 cm
x 10 cm is cut into cubes of side 2 cm. How many
such cubes can be cut from the cuboid? Compare
the total surface area of the cube and cuboid
Answer:
270 first question's answer
Step-by-step explanation:
Solution at attachment box
Total surface area of cuboid is = 12x18x2 + 10x12x2 +18x10x2
=432+240+360
=1032
Surface of the 1 cube =2x2x2 = 8
Surface of the all cubes = 8x270 = 2160
Morgan is reading a 326 page book. The table shows three different plans to finish the book. How many days will it take for Morgan to finish her book?
Answer:
The answer is 16.3 but if it is asking for a specific answer it is 17. The answer to part B is in the description below
Step-by-step explanation:
Multiply 20 × 16 to get 320, which is not enough days. So multiply 20 × 17 to get 340, which is enough days.
Hope this was helpful!
I’ll mark as brainliest!!
Answer:
7/10
Step-by-step explanation:
0.7 = 7/10
You can't simply further so this is the final answer.
Answer:
x = 7/9
Step-by-step explanation:
Let x = 0.7777.....
Multiply both sides by 10
10x = 7.7777......
x = 0.7777...... {Subtract}
9x = 7
x = 7/9
what is the GCF of 3 and 18
Answer:
3
Step-by-step explanation:
3 is a factor of 3 and of 18.
Answer: 3
Answer:
3 is the GCF!!!!!!HOPE THIS HELPS!!!
hujknjk jk jjkjj help
Answer:
x≤ -7 or x≥ -4
Step-by-step explanation:
There is a closed circle at -7 and the line goes to the left
x≤ -7
There is a closed circle at -4 and the line goes to the right
x≥ -4
Since they both can't be true at the same time it is an or
x≤ -7 or x≥ -4
GIVING BRAINLIEST TO 1ST CORRECT ANSWER. Leah practices dance for 2One-half hours each week. Her younger sister Sonia practices dance for 0.8 the amount of time Leah practices. How much more time does Leah practice than Sonia? 0.2 hours 0.5 hours 1.7 hours 2.0 hours
Answer:
Sonia practices for 96 mins (1 hour 36mins ) 0.8 = 80%
Step-by-step explanation:
Lin runs 5 laps around a track in 6 minutes.
1. How many minutes per lap is that?
2. How many laps per minute is that?
3. If Lin runs 21 laps at the same rate, how long does it take her?
Step-by-step explanation:
its takes her 1.2 mins it would take her 126 mins
Can someone help me figure this out?
Answer:
Option A
Step-by-step explanation:
62 and x are consecutive supplementary angles and so, x = 180 - 62 = 118
And this makes the lines parallel
3) The length of JM is 9x + 6 units, the length of JK is
5x and the length of KM is 3x +12 units. Find the
Length of JM
J
K
L
M
8
Answer:
[tex] JM = 60 units [/tex]
Step-by-step explanation:
Given:
[tex] JM = 9x + 6 [/tex]
[tex] JK = 5x [/tex]
[tex] KM = 3x + 12 [/tex]
[tex] JK + KM = JM [/tex] (segment addition postulate)
[tex] (5x) + (3x + 12) = (9x + 6) [/tex] (substitution)
Solve for x
[tex] 5x + 3x + 12 = 9x + 6 [/tex]
Collect like terms
[tex] 5x + 3x - 9x = -12 + 6 [/tex]
[tex] -x = -6 [/tex]
Divide both sides by -1
[tex] x = 6 [/tex]
[tex] JM = 9x + 6 [/tex]
Plug in the value of x
[tex] JM = 9(6) + 6 [/tex]
[tex] JM = 54 + 6 [/tex]
[tex] JM = 60 units [/tex]
To which expression does 3(a + 2b) - 3a simplify? a. -6a + 6b c. 2b b. 3a + 6b d. 6b
Answer:
d. 6b
Step-by-step explanation:
Simplify the following:
[tex] \longrightarrow [/tex] 3(a + 2b) - 3a
3(a + 2b) = 3a + 6b:
[tex] \longrightarrow [/tex] 3a + 6b - 3a
Grouping like terms,
3a + 6b - 3a = 6b + (3a - 3a):
[tex] \longrightarrow [/tex] 6b + (3a - 3a)
3 a - 3 a = 0:
[tex] \longrightarrow [/tex] 6b
Help me find the equation of the line please need it now
Giving extra points
Correct answer only
Answer:
Step-by-step explanation:
If AB ⊥ CD, then [tex]m_{AB}[/tex] [tex]m_{CD}[/tex] = - 1
P( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~~~
y = - 2x + 6 and P(3, 3) , m = - 2
Slope of ⊥ line is [tex]\frac{1}{2}[/tex]
y - 3 = [tex]\frac{1}{2}[/tex] ( x - 3 )
y = [tex]\frac{1}{2}[/tex] x + [tex]\frac{3}{2}[/tex] or y = 0.5x + 1.5
juwad picked 30 bags of apples on Monday and sold them at his fruit stand for $3.45 each. The following week he picked and sold 26 bags. Each bag Juwad picked holds 15 apples. How many apples did he pick in two weeks?
place an x in the table to show the precent decrease from the first number to the second number. giving brainliest!!
Answer:
150 to 117 is 25%
340 to 255 is 25%
450 to 351 is 22%
Step-by-step explanation:
Answer:i added a picture, I hope it’s good.
150 - 22% = 117
340 - 25% = 255
450 - 22% = 351
At a basketball game, a vender sold a combined total of 108 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Answer:
Hot dogs - 27, soda - 81
Step-by-step explanation:
Soda to Hot dog ratio = 3:1
If the total is 108, we can divide 108/4 ---> 27
now, multiply 3 and 1 by 27 and there you go!
edit: also if you don't know why I divided 108 by 4, its because you add together both sides of the ratio
Michael received $275 more from relatives than friends. He received $4275 dollars in all, how much money did he receive from relatives and how much money did he receive from friends?
Answer:
4000 thousand from relatives and 275 from friends
Answer:
Michael received $2275 ftom relatives and $2000 from friends
Step-by-step explanation:
Let r represent the amount of money from relatives
Let f represent the amount of money from friends
f+r=4275
f+275=r
Use substitution, f+(f+275)=4275
2f+275=4275
2f=4000
f=2000
Substitute 2000 in for f
2000+275=r
2275=r
ANSWER:
Micheal received $2275 from relatives and $2000 from friends
What is the difference between a co-payment and co-insurance?
a. Co-payment refers to two spouses paying for the same coverage, and co-insurance refers to
two spouses receiving the same benefits.
b. A co-payment is a flat fee for each service, and co-insurance is based on a percentage of the
costs incurred.
C. Co-payment is when a group of individuals work to cover each other's medical expenses, and
co-insurance is when an individual has multiple insurance policies from different companies.
d. A co-payment is when an employer helps an employee pay for insurance premiums, and co-
insurance is when an employer helps an employee find better insurance than they could alone.
Answer:
b. A co-payment is a flat fee for each service, and co-insurance is based on a percentage of the costs incurred.
Step-by-step explanation:
A co-payment can be defined as a relatively small fixed amount of money that is required to be paid by a patient (insured) to a service provider such as a health insurer (health maintenance organization-HMO) as medical expenses before receiving any other service. Some examples of co-payment are the payment of $15 for a visiting gynecologist, £5 for prescribed drugs, ¥20 for x-ray etc.
On the other hand, co-insurance can be defined as the amount of money a patient (insured) is required to pay for a claim or covered charge after a deductible have been satisfied and it is typically expressed as a percentage of the costs incurred. It is usually split between the policyholder and the insurer on a 20% to 80% basis.
Hence, the difference between a co-payment and co-insurance is that, co-payment is a flat fee for each service, and co-insurance is based on a percentage of the costs incurred.
Answer:
answer is b :P
Step-by-step explanation:
Compute the probability of Carl turning 44 years old (event A), given that Susan has reached the age of 44 (event B).
Answer:
Events A and B are independent of each other, so it would be 0.95726
Step-by-step explanation:
$46 for 5 toys
$ / toy
Answer:
$9.20 for 1 toy
Step-by-step explanation:
If it's $46 for 5 toys, we can divide both $46 and 5 to get $9.20 for 1 toy.
[tex]0=24-16t^2[/tex]
Answer:
Step-by-step explanation: Simplify both sides of the equation.
0=−16t2+24
Step 2: Add 16t^2 to both sides.
0+16t2=−16t2+24+16t2
16t2=24
Step 3: Divide both sides by 16.
16t^2/16=24/16
t^2=3/2
Step 4: Take square root.
t=± √ 3/2
t=1.224745,−1.224745
Help ASAP pls What is the y intercept of the linear equation shown on the graph
A. (0,-70)
B. (0,-50)
C. (0,1/2)
D. (0,100)
Answer:
(0, -50)
Step-by-step explanation:
pick any 2 points such as (100,0) and (120,10)
to get from point (100.0) to point (120,10) you had to rise 10 and run 20
so the slope m =rise 10/run20= 1/2
the equation of the line is (y-y1)=m(x-x1)
(y-0)=(1/2)(x-100) for the slope m=1/2 and point on the line (100,0)
y=( x/2)-50 if you distribute
compare this with the equation
y=mx+b wher m=slope and bb is y-intercept
so the y-intercept is -50
Answer:
b
Step-by-step explanation:
trust
I did some of it already I just need help on the last one unless I got the others wrong
Answer:
17.5 km
Step-by-step explanation:
5 km per hour so for 3 hours it would be 15 then 2.5 km for half an hour gives a total of 17.5 km walked in 3 1/2 hours
Answer:17.5
Step-by-step explanation:
Is brainly getting hacked?
Answer:
I think so
Step-by-step explanation:
The triangles are congruent by the SSS congruence theorem.
Which transformation(s) can map ΔLMN onto ΔL'M'N'?
translation only
reflection only
rotation then translation
reflection then translation
Answer:
Rotation then Transition C on Edge.
Step-by-step explanation
Because im smart like that
Aaron scored 452.65 marks out of 600 in the final examination. How many marks did he lose?
Answer:
He lost 147.35 marks
Step-by-step explanation:
Take the total marks and subtract the marks he got to find the marks he lost
600-452.65= 147.35
600-452.65= 147.35
he lost 147.35 marks
The ratio of shells to driftwood Gus found is shown on the ratio table. Complete the ratio table to make an equivalent
ratio.
Answer:
54
Step-by-step explanation:
It’s getting multiplied by 3
so if 6x3=18 then 18x3=54
:DDD