Answer:
y = -3x-7
Step-by-step explanation:
3x+y=5
First put this in slope intercept form
Subtract 3x from each side
3x-3x+y=-3x+5
y = -3x+5
The slope is -3 and the y intercept is 5
Parallel lines have the same slope so our new line will have a slope of -3
It goes through the point (-1,-4)
Using slope intercept form
u = mx+b
y = -3x+b
Substituting the point into the equation to solve for b
-4 = -3(-1) +b
-4 = 3+b
-4-3 = b
b = -7
Using the slope and the y intercept
The line is y = -3x-7
Answer:
y = -3x - 7
Step-by-step explanation:
3x + y = 5
y = -3x + 5
Parallel lines have the same slope, so m = -3
y - -4 = -3(x - -1)
y + 4 = -3(x + 1)
y + 4 = -3x - 3
y = -3x - 7
The lengths of pregnancies are normally distributed with a mean of 250 days and a standard deviation of 15 days.
a. Find the probability of a pregnancy lasting 308 days or longer?
b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.
Answer:
a) 0.005% probability of a pregnancy lasting 308 days or longer
b) The pregnancy length that separates premature babies from those who are not premature is 229 days.
Step-by-step explanation:
Problems of normally distributed samples 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.
In this question, we have that:
[tex]\mu = 250, \sigma = 15[/tex]
a. Find the probability of a pregnancy lasting 308 days or longer?
This is 1 subtracted by the pvalue of Z when X = 308. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{308 - 250}{15}[/tex]
[tex]Z = 3.87[/tex]
[tex]Z = 3.87[/tex] has a pvalue of 0.99995
1 - 0.99995 - 0.00005
0.005% probability of a pregnancy lasting 308 days or longer
b. If we stipulate that a baby is premature if the length of the pregnancy is in the lowest 8% (8th percentile), find the length that separates premature babies from those who are not premature.
The 8th percentile is X when Z has a pvalue of 0.08. So it is X when Z = -1.405.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.405 = \frac{X - 250}{15}[/tex]
[tex]X - 250 = -1.405*15[/tex]
[tex]X = -1.405*15 + 250[/tex]
[tex]X = 229[/tex]
The pregnancy length that separates premature babies from those who are not premature is 229 days.
In the equation m = k + 3, m is the:
Answer:
Step-by-step explanation:
m is the dependent variable; it represents the value of a linear function of k:
m = f(k) = k + 3
Toni adds the numbers. 43+51+32+25=376. What is toni's mistake
Answer:
Step-by-step explanation:
Toni didn’t add it up correctly, so the real answer is 151
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing! CHECK ALL THAT PPLY
Answer:
F
Step-by-step explanation:
x = 26-9
Answer:
F. 17
Step-by-step explanation:
There would only be one answer choice, and to find this, all you can do is subtract 9 from both sides, like so:
x + 9 = 26
- 9 - 9
________
x = 17
This means that when you plug in 17 for x, the answer will come out to 26.
What’s the correct answer or this?
Answer:
Height = 35 x sin(55deg) = ~28.7 feet
Answer:
B
Step-by-step explanation:
Sin ∅ =opposite/HYPOTENUSE
Sin 55 =opposite/35
0.82×35=opposite
Opposite=28.7 feet
A wall in Marcus’s bedroom is 8 2/5 feet high and 16 2/3 feet long. If he paints 1/2 of the wall blue, how many square feet will be blue?
77 feet^2
Explanation:
Area of the wall is
8 2/5 × 18 1/3
42/5 × 55/3
14/5 × 55/1
14/1 × 11/1 = 154 feet^2
The area we want is half of this
77 feet^2
Hope this helps and answer you question
Children in 50 Households
Number of Children Number of
Households
0
5
1
11
2
13
3
10
4
9
5
2
Using a proportion, what can you infer about the number of households in her town that have more than thre
About 242 households have more than three children.
About 269 households have more than three children.
About 296 households have more than three children.
About 565 households have more than three children.
Answer:I think it’s 269 because when you do 1,350 divided by 50 it’s 27 then you add 9+2 to get 11/50 then you do 27x11 which gives you 270 and the closest answer to that is 269
Step-by-step explanation:
Answer:
About 296 households have more than three children.
Step-by-step explanation:
I got it right on edge
A pollen grain is 3/10 to the third power centimeters wide. In an illustration, the pollen grain is 6 centimeters 10 wide. How much larger is the illustration than the actual pollen?
Answer:
The illustration is approximately 226 times larder than the actual pollen grain.
Step-by-step explanation:
First of all, we have to write out the size of the actual pollen grain in a manner that is easy for us to work with.
This will be
[tex](\frac{3}{10}) ^{3}=0.027cm[/tex] wide
The original width of the pollen is 0.027 cm.
Next,
We can take the width of the illustration to be 6.10 cm wide.
After this,
To get the magnification factor, we will have to use the formula
Magnification = illustrated size/ actual size
This will be the magnification = [tex]6.10/0.027[/tex] = 255.92 times
Hence, the illustration is approximately 226 times larder than the actual pollen grain.
Your teacher has 50 pencils. 9 of the pencils are green, 10 are yellow, 7 are
blue and the rest are red. Once a pencil is picked, assume it is not given
back to the teacher. What is the probability that the first 3 students pick a
yellow pencil, a blue pencil and a red pencil in that order? Is this a
dependent or independent event? *
A. Independent, 1/70
B. Dependent, 1/70
C. Independent, 41/3125
D. Dependent, 41/3125
Answer:
B. Dependent, 1/70
Step-by-step explanation:
The probability that the first pencil is yellow is 10/50.
There are now 49 pencils, so the probability that the second pencil is blue is 7/49.
There are now 48 pencils, so the probability that the third pencil is red is 24/48.
The total probability is (10/50) (7/49) (24/48) = 1/70.
Since the pencils aren't replaced after selection, each event changes the probability of the next, so the events are dependent.
Solve this equation. 2 - k = 22
Answer
20 ?
Step-by-step explanation:
Answer: [tex]k=-20[/tex]
Move all terms to the left
[tex]2-k-(22)=0[/tex]
Add all the numbers together, and all the variables
[tex]-1k-20=0[/tex]
Move all terms containing k to the left, all other terms to the right
[tex]-k=20\\k=20/-1\\k=-20[/tex]
Write a recursive formula for the sequence
-1,-2,-3,-4...
Answer:
f(1) = -1
f(n) = f(n-1) -1
Step-by-step explanation:
The first term is -1. Each term is 1 less than the previous. These equations say that.
f(1) = -1
f(n) = f(n-1) -1
6th grade math ! Help me please :))
Answer:
120
Step-by-step explanation:
20 ÷2=10 10×12=120
or 20×6=120
What is the reason that supports the statement made on line 5?
Answer:
V is given to be midpoint of WZ and XY
=> WV = VZ and XV = VY (1)
As opposite angles,
=> WVX = ZVY (2)
From (1) and (2), then
Triangle WXV = Triangle ZYV (SAS)
=> Option SAS is correct.
Hope this helps!
:)
Answer:
SAS
Step-by-step explanation:
Since we know that lengths XV & YV and WV & ZV are equal, angle the angle between these corresponding lengths is also equal (Angle V) we can conclude that the two triangles are congruent by SAS postulate
How much did deshwan have withheld from his federal income tax
Answer:
$4465.71.
Step-by-step explanation:
Explanation: The amount of federal income tax withheld is on Box 2 of the WW2 form.
A vendor at a street fair sells popcorn in cones, all of height 9 inches. The
sharing-size cone has 3 times the radius of the skinny-size cone. About how
many times more popcorn does the sharing cone hold than the skinny cone?
Answer:
The sharing cone holds about 9 times more popcorn than the skinny cone.
Step-by-step explanation:
The volume of a cone is given by the following formula:
[tex]V = \frac{\pi r^{2}h}{3}[/tex]
In which r is the radius and h is the height.
Two cones:
Both have the same height.
The sharing-size cone has 3 times the radius of the skinny-size cone.
Skinny:
radius r, height h. So
[tex]V_{sk} = \frac{\pi r^{2}h}{3}[/tex]
Sharing size:
radius 3r, height h. So
[tex]V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h[/tex]
About how many times more popcorn does the sharing cone hold than the skinny cone?
[tex]r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9[/tex]
The sharing cone holds about 9 times more popcorn than the skinny cone.
The sum of the first 7 terms of an arithmetic
sequence 2.5, 7.5, 12.5, 17.5, ... would be:
Answer:
just google it i am not able to put the link to a website which ahs the answer to this sorry :(
Step-by-step explanation:
Answer:
2.5 7.5 12.5 17.5 22.5 27.5 32.5
Step-by-step explanation:
Just add 5 to the previous sum considering it is arithmetic sequence is always addition.
A bungee jumper falls 150 feet and rebounds 60 feet. This fall and rebound pattern continues, with each rebound being 40 percent of the distance of the previous fall. How far will the bungee jumper rebound on the fifth rebound?
a.) 1.5 feet
b.) 11.7 feet
c.) 806.7 feet
d.) 1572.0 feet
Answer:A.1.5
Step-by-step explanation:
First rebound. 0.4 * 150= 60
Second rebound. 60 * 0.4=24
Third rebound. 24 * 0.4 = 9.6
Fourth rebound. 9.6 * 0.4= 3.84
Five rebound. 3.84 * 0.4= 1.5
The bungee jumper rebound 1.5 feet on the fifth rebound.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given that the a bungee jumper falls 150 feet.
And each rebound is 40 percentage of the distance of the previous fall.
So first rebound;
40% of 150 feet = 150 × 40 / 100
= 60 feet
Second rebound = 40% of 60 feet
= 60 × 40 / 100
= 24 feet
Third rebound = 40% of 24 feet
= 24 × 40 / 100
= 9.6 feet
Forth rebound = 40% of 9.6 feet
= 3.84 feet
Fifth rebound = 40% of 3.84 feet
= 1.5 feet
Therefore, 1.5 feet the bungee jumper rebound on the fifth rebound.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
Compute: 10:00 - 2:30
Answer:
4 hr and 30 minutes?
Step-by-step explanation:
You didnt really specify soo. 11 12 1 2 2:30
1hr 2hr 3hr 4hr 30 min
Answer:7:30
Step-by-step explanation:
What do scientist mean by flattening the curve and why is it important?
Answer:
MRCORRECT has answered the question
Step-by-step explanation:
Inhibiting new infections to reduce the number of cases at any given time—known as "flattening the curve"—allows healthcare services to better manage the same volume of patients.
Answer:
I believe it means to slow down the virus spreading to other people and to stay safe, avoid contact, and wash your hands to stop too many people from going into the hospital.
Step-by-step explanation:
where is the point (0, –4) located
4 points below the origin
what are the dimensions for this triangle?
Answer:
2 and 2
Step-by-step explanation:
Parallel sides of rectangles are congruent, and because the other side of both rectangles is 2, the sides of the triangle are 2 because they share the side with the rectangle.
If a binomial is A polynomial, Then a poly nominal is a binomial. Is this always, sometimes, or never
Sometimes true. Take for example the trinomial [tex]x^2+2x-3,[/tex] which is a polynomial but not a binomial. On the other hand, one polynomial that satisfies the statement is the binomial [tex]x+2.[/tex]
Five friends bake ginger bread and subsequently meet up for a tasting session. Each one gives one of his ginger
breads to each other person. Then each person eats all of the ginger bread they were given. After that the
number of ginger breads halves. How many ginger breads did the five friends have to start with?
Answer:
The five friends had 10 fingers to start with; one had two each
Step-by-step explanation:
The statement says each gave one of not all of his ginger in the toasting session.
Given that f(x) = 5x − 10 and g(x) = x + 3, solve for f(g(x)) when x = −1. (1 point)
−30
0
10
12
Answer:
0
Step-by-step explanation:
Given: f(x) = 5x − 10 and g(x) = x + 3
f(g(x)) = 5(x+3) -10
f(g(x)) = 5x + 15 -10
f(g(x)) = 5x + 5
f(g(-1)) = 5(-1) + 5 (plugging x = -1)
f(g(-1)) = -5 + 5
f(g(-1)) = 0
How would you find the circumference of a circle if you know the area of the circle?
Answer:
You first work out the radius, as below:
Area = pi x radius^2
=> radius = sqrt(Area/pi)
Then, you find out circumference C.
=> C = 2 x pi x radius
Hope this helps!
:)
Find the area of the shape plssss help
ok so find the area of thesquare then triangles and then add them tiriange area is 1/2 times base times heightso 1/2 times 2 times 2 which is 4 divided by 2 which is 2 same with the other traingle so your total area for the traingles is 4. The area for the square is 2 times 2 which is 4. add them up yiouget the whole shape is 8 units squared Answer: 8 units squared
Step-by-step explanation:
What is the median for the given set of data?
[40, 54, 22, 30, 55, 13, 33}
A)
32
B)
33
C)
40
D)
42
Giving brainliest to CORRECT answer.
Answer:
B) (-3,4)
Step-by-step explanation:
I graphed the function on the graph below to show you that vertex of the function.
If this answer is correct, please make me Brainliest!
The answer is B because it appears on my graphing calculator as this.
meg has 47 baby carrots are equally with 6 friends she puts an equal number of carrots on six plates how many carrots are left over
Answer:
5 carrots are left over.
Step-by-step explanation:
6 times 7 equals 42. 47 minus 42 is 5.
For the transformation to be defined as a rotation, which
statements must be true? Select three options.
