34 as a fraction is 17/50
-7 as a fraction is 8/20
Answer:
34/1
-7/1
Step-by-step explanation:
Convert 01100111 from binary to hexadecimal.
Answer: 67
Step-by-step explanation: 128+64+32+16+8+4+2+1
=0 + 1 + 1 + 0 + 0+1+1+1
=67
Find all whole numbers m such that m and 5m+1 are prime numbers.
Answer:
2 only
Step-by-step explanation:
Only even PRIME number is 2.
Why do we need EVEN PRIME numbers?
Say we do 11*5 we get 55 but when we add one we get 56
Meaning: An odd number multiplied by an odd number plus an odd number equals EVEN number which isn't PRIME. 2 being the ONLY even prime is therefore the only number we can choose.
The scores for all high school seniors taking the verbal section of the Scholastic Aptitude Test (SAT) in a particular year had a mean of 490 and a standard deviation of 100. The distribution of SAT scores is bell-shaped.
What percentage of seniors scored between 390 and 590 on this SAT test?
Answer:
The value is [tex]P( 390 < X < 590) = 68.3 \%[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 490[/tex]
The standard deviation is [tex]\sigma = 100[/tex]
Generally the proportion of seniors scored between 390 and 590 on this SAT test is mathematically represented as
[tex]P( 390 < X < 590) = P( \frac{390 - 490 }{100} < \frac{\= x - \mu }{\sigma} < \frac{590 - 490 }{ 100} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( 390 < X < 590) = P( -1 < Z < 1 )[/tex]
=> [tex]P( 390 < X < 590) = P(Z< 1 ) - P(Z < - 1 )[/tex]
From the z table the area under the normal curve to the left corresponding to 1 and -1 is
[tex]P(Z< 1 ) = 0.84134[/tex]
and
[tex]P(Z< - 1 ) = 0.15866[/tex]
[tex]P( 390 < X < 590) =0.84134 - 0.15866[/tex]
=> [tex]P( 390 < X < 590) = 0.6827[/tex]
Generally the percentage of seniors scored between 390 and 590 on this SAT test is mathematically represented as
=> [tex]P( 390 < X < 590) = 0.6827 *100[/tex]
=> [tex]P( 390 < X < 590) = 68.3 \%[/tex]
(54+6)+10=
how to answer?
Answer:
add 54+6 =60 then add 10 =70 first add the one in brackets then add the other one
dont be childish I will report thanks
Your answer is 12/-6
If you need your answer simplified, it's -2
If you have any questions, problems, or corrections, let me know
Answer:
I believe the answer is -2
Step-by-step explanation:
[tex]\frac{|-12|}{-|6|}[/tex] will now be written as [tex]\frac{12}{-6}[/tex]
12 divided by -6 equals -2
hope this helps
For the given expression, find the quotient and
Remainder
2x4 - 7x² + 7x + 2 divided by x2 +9
Quotient:
Remainder:
Answer:
6
Step-by-step explanation:
Three letters are randomly chosen from PROBABILITY. What is the probability that two of the three letters are the same?
Answer:
1 out of 25 letters question
Josh rents a kayak at a nearby state park. He pays a flat rate of $12.99 plus $3.75 for
each hour that he spends in the water. How much did Josh spend if he was on the river
for 4 hours?
Answer:
Whats a kayak?
Step-by-step explanation:
Which point is an x-intercept of the quadric function f(x)=(x+6)(x-3)
Answer:
( − 6 , 0 ) , ( 3 , 0 )
Step-by-step explanation:
f(x)=(x+6)(x-3)
9x⁴-3x²+1
Does anyone know how to solve this question?
It would be really helpful if you'd help me.
thank you so much
Simplifying the equation:
We are given the bi-quadratic equation:
9x⁴-3x²+1
to factorise this equation, we will convert it to a quadratic equation and factor it from there
in the given equation, let x² = y
now, the equation looks like:
9y² - 3y + 1
Finding the Factors (in terms of y):
Using the quadratic formula: x = -b±√(b²-4ac) / 2a
replacing the variables in the equation
y = [-(-3) ± √[(-3)² - 4(9)(1)]]/2(9)
y= [3 ± √-27]/18
y = (1 ± √-3 / 6)
The 2 solutions are:
y = (1 + √-3 / 6) and y = (1 - √-3 / 6)
Finding the values of 'x':
Since y = x²:
x² = (1 + √-3 / 6) and x² = (1 - √-3 / 6)
taking the square root of both sides
x = √(1 + √-3 / 6) and x = √(1 - √-3 / 6)
As we can see, the given equation has complex roots and cannot be simplified further
Find an equation of the hyperbola having foci at (-9,-4) and (7,-4) and vertices at (-6, -4) and (4.-4).
Answer:
-9,-4
Step-by-step explanation:
18. Which product is greater. (-4)-(-6) or
(-7).(-8)? Explain.
Answer:
So when u do (-4)-(-6) it equals 2.
But when u do (-7)*(-8) it equals 56
Therefore saying that (-7)*(-8)=56 is the greatest product.
Step-by-step explanation:
Write the equation of the line that is parallel to y = -2x + 4 and passes through (3, 1) in slope-intercept form.
Answer:
y = -2x + 7
Step-by-step explanation:
y = -2x + 4
Slope in above equation is -2. Parallel lines share the same slope so the new equation will also have a slope of -2.
y-intercept through point (3, 1):
y = mx + b
1 = -2(3) + b
1 = -6 + b
b = 7
Equation of line that is parallel to original:
y = mx + b
y = -2x + 7
Given a test that is normally distributed with a mean of 100 and a standard deviation of 12, find:
(a) the probability that a single score drawn at random will be greater than 110
(b) the probability that a sample of 25 scores will have a mean greater than 105
(c) the probability that a sample of 64 scores will have a mean greater than 105
(d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105
Answer:
(a) 0.2033
(b) 0.0188
(c) 0.0004
(d) 0.095
Step-by-step explanation:
(a) the probability that a score at random is greater than 110 is obtained with a normal distribution of mean 100 and standard deviation 12 can be estimated using the z-table for Z = (110 - 100)/12 = 0.83
So P (X > 110) = P (Z > 0.83) = 0.2033
(b) Probability that a sample of 25 scores will have a mean greater than 105:
we use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{25} = 5[/tex]. That is a standard deviation of 12/5 = 2.4. which gives a Z-value of (105-100) / 2.4 = 2.08
P (X> 105) = P (Z > 2.08) = 0.0188
(c) Probability that a sample of 64 scores will have a mean greater than 105:
we use a standard distribution with the same mean (100) but the standard deviation reduced by a factor of [tex]\sqrt{64} = 8[/tex]. That is a standard deviation of 12/8 = 1.5. which gives a Z-value of (105-100) / 1.5 = 3.33
P (X> 105) = P (Z > 3.33) = 0.0004
(d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105
This will be the addition of the two probabilities. We use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{16} = 4[/tex]. That is a standard deviation of 12/4 = 3. which gives us two different Z values to study:
(105-100) / 3 = 1.67
and for X= 95 ==> Z = (95 - 100)/3 = - 1.67
P (X > 105) = P (Z > 1.67) = 0.0475
P (X < 95) = P (Z < -1.67) = 0.0475
which add up to: 0.095.
Using the normal distribution and the central limit theorem, it is found that there is a:
a) 0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.
b) 0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.
c) 0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.
d) 0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].In this problem:
Mean of 100, hence [tex]\mu = 100[/tex].Standard deviation of 12, hence [tex]\sigma = 12[/tex].Item a:
This probability is 1 subtracted by the p-value of Z when X = 110, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{110 - 100}{12}[/tex]
[tex]Z = 0.83[/tex]
[tex]Z = 0.83[/tex] has a p-value of 0.7967.
1 - 0.7967 = 0.2033
0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.
Item b:
Sample of 25, hence [tex]n = 25, s = \frac{12}{\sqrt{25}} = 2.4[/tex].
This probability is 1 subtracted by the p-value of Z when X = 105, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{2.4}[/tex]
[tex]Z = 2.08[/tex]
[tex]Z = 2.08[/tex] has a p-value of 0.9812.
1 - 0.9812 = 0.0188
0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.
Item c:
Sample of 64, hence [tex]n = 64, s = \frac{12}{\sqrt{64}} = 1.5[/tex].
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{1.5}[/tex]
[tex]Z = 3.33[/tex]
[tex]Z = 3.33[/tex] has a p-value of 0.9996.
1 - 0.9996 = 0.0004
0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.
Item d:
Sample of 16, hence [tex]n = 16, s = \frac{12}{\sqrt{16}} = 3[/tex].
Both 105 and 95 are the same distance of the mean, so we find one probability, and multiply by 2.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{105 - 100}{3}[/tex]
[tex]Z = 1.67[/tex]
[tex]Z = 1.67[/tex] has a p-value of 0.9525.
1 - 0.9525 = 0.0475.
2 x 0.0475 = 0.095
0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.
A similar problem is given at https://brainly.com/question/24663213
A road crew is paving a 45-mile stretch of highway. If the crew can pave 110 mile of highway each day, how long will it take the crew to finish the job?
3 days
5 days
6 days
8 days
Answer:
3 day answer hai bro
Answer:
the correct answer is 8 days.
use the formula y=mx+ c to work out the value ofy when m=8 x=3 c=4
Answer:
m = 21 = 2
b = 1 (value of y when x=0)
So: y = 2x + 1
With that equation you can now ...
... choose any value for x and find the matching value for y
For example, when x is 1:
y = 2×1 + 1 = 3
Check for yourself that x=1 and y=3 is actually on the line.
Or we could choose another value for x, such as 7:
y = 2×7 + 1 = 15
And so when x=7 you will have y=15
Positive or Negative Slope?
Going from left-to-right, the cyclist has to Push on a Positive Slope:
negative slope zero slope positive slope
Example 2
y=-3x graph
m = −31 = −3
b = 0
This gives us y = −3x + 0
We do not need the zero!
So: y = −3x
Example 3: Vertical Line
graph x=2
What is the equation for a vertical line?
The slope is undefined ... and where does it cross the Y-Axis?
In fact, this is a special case, and you use a different equation, not "y=...", but instead you use "x=...".
Like this:
x = 1.5
Every point on the line has x coordinate 1.5,
that is why its equation is x = 1.5
Rise and Run
rise and run
Sometimes the words "rise" and "run" are used.
Rise is how far up
Run is how far along
And so the slope "m" is:
m = riserun
You might find that easier to remember.
Animation
Now Play With The Graph !
You can see the effect of different values of m (the slope) and b (the y intercept) at Explore the Straight Line Graph
Step-by-step explanation:
In the rope climb, a 75 kg athlete climbs a vertical distance of 5.0 m in 9.0 s. What minimum power output was used to accomplish this feat?
___ W
Answer:
The minimum power output used to accomplish this feat is 408.625 watts.
Step-by-step explanation:
The minimum power is that needed to overcome potential gravitational energy at constant velocity. From Principle of Energy Conservation, Work-Energy Theorem and definition of power we obtain the following relationship:
[tex]\dot W = m\cdot g \cdot \dot y[/tex] (Eq. 1)
Where:
[tex]m[/tex] - Mass of the athlete, measured in kilograms.
[tex]g[/tex] - Gravitational constant, measured in meters per square second.
[tex]\dot y[/tex] - Climbing rate, measured in meters per second.
[tex]\dot W[/tex]- Power, measured in watts.
By the consideration of constant velocity, we get that the climbing rate is represented by:
[tex]\dot y = \frac{s}{t}[/tex] (Eq. 2)
Where:
[tex]s[/tex] - Travelled distance, measured in meters.
[tex]t[/tex] - Time, measured in seconds.
And by substituting on (Eq. 1), the following expression is found:
[tex]\dot W = \frac{m\cdot g\cdot s}{t}[/tex]
If we know that [tex]m = 75\,kg[/tex], [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], [tex]s = 5\,m[/tex] and [tex]t = 9\,s[/tex], then the minimum power output is:
[tex]\dot W = \frac{(75\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (5\,m)}{9\,s}[/tex]
[tex]\dot W = 408.625\,W[/tex]
The minimum power output used to accomplish this feat is 408.625 watts.
Mrs. Frazier had 95 inches of ribbon. She gave 14.4 inches to Sara and 27.8 inches to Mary. If she divides the remainder between Jenny and Susie, how much will each girl receive? pls help
Answer:
26.4
Step-by-step explanation:
95-14.4-27.8=52.8
52.8/2=26.4
Hope I helped!
Please mark Brainliest!!!
PLEASE HELP
What is the difference (2 x minus 3) minus (x minus 1)?
x minus 4
x minus 2
x + 2
x + 4
Plz help due tomorrow plz hurry
Answer:
(4,-3)
Step-by-step explanation:
factorise fully
3x^3 - 9x
Mr. Scruggs is going to donate $60 to the local animal shelter. If that $60 is 4/15
of the total amount of money he received for his birthday, how much money
did he receive in all?
What is the value of x?
150°
3xº
Answer:
the answer is 50
Step-by-step explanation:
150 / 3 = 50
Answer:
50
Step-by-step explanation:
Is 319,459 divisible by 2?
yes
no
Submit
Answer:
no
Step-by-step explanation:
319,459 is not an even number
Please answer this question correctly
A 2-yard piece of ribbon costs $22.32. What is the price per inch?
You have to divide
Can you solve this?: 5+2x=12+x
Answer:
5+2x=12+x
put all numbers and Xs on one side each
-x=7
so x=-7
I will give brainliest :)
Last weekend Joe bought a magazine for $6 and some
notebooks for $3 each. You spent a total of $18. If the
equation 3x + 6 = 18 represents this situation, what does
the x variable represent?
•the coast of magazines
•the number of magazines
•the number of notebooks
•the cost of notebooks
Answer:
The number of notebooks
What is the seventh term of (x-y) ^ 8 ?
Answer:
-8xy^7
Step-by-step explanation:
PLEASE HELP ME ASAP (ANSWER BOTH) THANK YOU!
Answer:
1/3 is the slope but it does not show the graph so I can't give you the answer
At midnight the temperature was ➖ 5 degrees Celsius. At noon, the temperature was 19 degrees Celsius. Which expression represents the change in temperature?
Answer:
cold and hot Is the answer
