Answer:
y=(8/3)x
Step-by-step explanation:
First, we make 8x-3y=3 into the form y=mx+b
3y=8x-3
y=(8/3)x-1
For an equation to be parallel to this equation, the slope must be the same, so the new equation will be:
y=(8/3)x+b
We know that (0,0) is a point in this line. We plug (0,0) into the equation to find b:
0=(8/3)*0+b
b=0
y=(8/3)x
Solve (x + 5)∕3 = 4 for x.
Answer:
7
Step by step explanation:
1. multiply both sides by 3
3(x+5)/3 =4 x 3
2. Simplify
x + 5=12
3. Subtract 5 from both sides
x+5-5=12-5
4. Simplify
7
There are 90 girls in fourth form 25 of whom study biology what percentage of fourth form girl study biology?
4. Damiel and Kianny are going to the Pizza Palace for dinner. Damiel orders 2 slices of pizza and 1 cola and has a bill that totals $12. Kianny orders 3 slices of pizza and 2 colas and has a bill that totals $19.
Answer:
if the question is how much does the pizza and coke cost then:
1 slice of pizza is $5 and coke is $2
Step-by-step explanation:
(2×$5)+(1×$2)=$12
(3×$5)+(2×$2)=$19
Find f(-2) for f(x) = 3x2^x
The value of function f (- 2) would be,
⇒ f (- 2) = 3 / 4
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
The value of function is,
⇒ f (x) = 3 × 2ˣ
Now,
At x = - 2;
The value of function f (- 2) would be,
⇒ f (x) = 3 × 2ˣ
⇒ f (- 2) = 3 × 2⁻²
⇒ f (- 2) = 3 × 1 / 4
⇒ f (- 2) = 3 / 4
Thus, The value of function f (- 2) would be,
⇒ f (- 2) = 3 / 4
Learn more about the function visit:
https://brainly.com/question/11624077
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A research team conducted a study showing that approximately 30% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain, diminishing cerebral functions. At a board meeting of 30 businessmen, all of whom wear ties, what are the following probabilities?
a. at least one tie is too tight
b. more than two ties are too tight
c. no tie is too tight
d. at least 18 ties are not too tight
Answer:
a) 0.9998
b) 0.9979
c) 0.7
d) 0.9155
Step-by-step explanation:
P( people who wear their ties tightly ) = 0.3
P( people who do not wear their ties tightly ) = 1 - 0.3 = 0.7
sample size ( n ) = 30
Given that the events are independent and there are only two outcomes we will apply Binomial distribution
a) P( at least one tie is too tight )
P ( x ≥ 1 ) = 1 - P ( x < 1 ) = 1 - P ( x = 0 )
= 1 - 0.00002 = 0.9998 ( excel function: 1 - BINOMDIST(0,30,0.3,0) )
b) P( more than two ties are too tight )
P ( x > 2 ) = 1 - P ( x ≤ 2 ) = 1 - BINOMDIST(2, 30, 0.3, 1 )
= 1 - 0.002113178
= 0.9979
c) P ( no tie is tight )
P ( x = 0 ) = 0.7
d) P( at least 18 ties are not too tight ) i.e. ( P = 0.7 )
P ( x ≥ 18 ) = 1 - P( x ≤ 17 )
= 1 - BINOMDIST ( 17, 30, 0.7, 1 )
= 1 - 0.08447006
= 0.9155
PLEASE HELP ME! It’s easy I just don’t remember.
Answer:
Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.
θ=arccot(x/o)
six subtracted from one-half a number is 12.
Answer:
Number is 36
Step-by-step explanation:
Let the number be x
one half of the number is [tex]\frac{1}{2} x[/tex]
6 subtracted from one half is 12, That is,
[tex]\frac{1}{2} x - 6 = 12\\\\\frac{1}{2}x = 12 +6 \\\\x = 18 \times 2 = 36[/tex]
name an outcome that has a probability between 0.5 and 1
Answer:
a coin flip
Step-by-step explanation:
The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero.
in rectangle ABCD above,
1. How many opposite sides are equal?
2. Name the parallel opposite sides.
3. Name the opposite angles that are equal.
4. How many right angles can you identify?
5. Identify the equal opposite sides.
6. How many triangles can you identify?
7. Line AB and CD are adjacent to each other.
true or false?
8. the dotted lines AC andBD are called what?
Answer and Step-by-step explanation:
1. 2 pairs (aka 4 sides) of Opposite Sides are equal
2. AB and DC are parallel, and AD and BC are parallel
3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal
4. 4 right angles
5. AB and DC are equal, and AD and BC are equal
6. 4 Triangles
7. False
8. Diagonals of a rectangle.
#teamtrees #PAW (Plant And Water)
9 sprinters have made it to the Olympic finals in the 100-meter race. In how many different ways can the
gold, silver, and bronze medals be awarded?
Answer:
in three different ways the first one gets a gold one the other 4 printers get silver n the last 4 printers get bronze.
3(7x)-2(4-x) simplify the expression
Answer:
23x - 8 is the answer in simplify that expression
Answer:
[tex]3(7x)-2(4-x)[/tex]
[tex]21x-2(-x+4)[/tex][tex](21x+2x)-8[/tex][tex]23x-8[/tex]-------------------------
hope it helps...
have a great day!!
Please show ur work too!
(Image is the whole problem)
Answer:
ST = 15
Step-by-step explanation:
Given:
QR = 3x
LM = x + 9
ST = 6x - 3
Required:
ST
Solution:
First, we need to find the value of x by creating an equation.
Based on the trapezoid mid-segment theorem, we have the following equation:
LM = ½(QR + ST)
Substitute
x + 9 = ½(3x + 6x - 3)
x + 9 = ½(9x - 3)
Multiply both sides by 2
2(x + 9) = 9x - 3
2x + 18 = 9x - 3
Collect like terms
2x - 9x = -18 - 3
-7x = -21
Divide both sides by -7
x = -21/-7
x = 3
Find ST:
ST = 6x - 3
Plug in the value of x
ST = 6(3) - 3 = 18 - 3
ST = 15
There were 3450 previously owned homes sold in eastern Washington in the year 2010. The distribution of the sales prices of these homes was as strongly right-skewed with a mean of $406,274 and a standard deviation of $49,981. If all possible simple random samples of size 200 are drawn from this population and the mean is computed for each of these samples which of the following describes the sampling distribution of the sample mean?
a. Right skewed with mean of $406,274 and standard deviation of $49,981.
b. Approximately normal with mean $406,274 and standard deviation$249
c. Approximately normal with mean of $406,274 and standard deviation of $49,981.
d. Right skewed with mean of $406,274 and standard deviation $3534
e. Approximately normal with mean of $406,274 and standard deviation $3534
Answer:
e. Approximately normal with mean of $406,274 and standard deviation $3534
Step-by-step explanation:
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean 'μ' and standard deviation 'σ' , the sampling distribution of the sample means with size 'n' can be approximated to a normal distribution with mean 'μ' and standard deviation s= σ / √n .Given,The distribution of the sales prices of these homes was as strongly right-skewed with a mean of $406,274 and a standard deviation of $49,981 & Sample of Size 200 Are Drawn .
Now, By the Central Limit Theorem, the approximately normal Mean is $406,274 .
And,
Standard deviation ⇒ s= σ / √n ⇒ $49981 / [tex]\sqrt{200}[/tex]
⇒ $49981 / 10×√2 ⇒ $4998.1 / √2 ⇔ $3534.72 ≈ $3534
f(-5)=
Pls help i will mark the brainliest!
Answer:
f(-5)=7
Step-by-step explanation:
Because y=f(x) so f(-5) means x=-5.
Now you look at the graph, we can see at x=-5 , y=7. So f(-5)=7
Answer:
7
Step-by-step explanation:
Go to - 5 along the x axis.
When you hit the blue, go straight across until you hit the number on the y axis.
That number is 7
Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?
Answer:
What is 1/3 of 814
Step-by-step explanation:
What is 1/3 of 814
Answer: I think C
Step-by-step explanation:
A pair of dice was rolled many times and the results appear below. Based upon these results, what is the experimental probability of rolling a multiple of 3?
Outcome
2 3 4 5 6 7 8 9 10 11 12
Frequency
3 6 8 11 14 16 15 12 9 5 1 The percent probability is = [ ? ]%
Round to the nearest percent.
Answer:
The exponential probability should be 33%.
Step-by-step explanation:
[tex]4 \div 12 = .33 \\ [/tex]
[tex].33 \times 100 = 33\%[/tex]
The experimental probability of rolling a multiple of 3 will be 33%.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
A pair of dice was rolled many times and the results appear below. Based upon these results.
Outcome 2 3 4 5 6 7 8 9 10 11 12
Frequency 3 6 8 11 14 16 15 12 9 5 1
Then the experimental probability of rolling a multiple of 3 will be
Favorable events = 6 + 14 + 12 + 1 = 33
Total events = 100
Then the probability will be
P = (33 / 100) x 100
P = 0.33 x 100
P = 33%
More about the probability link is given below.
https://brainly.com/question/795909
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A small engine shop receives an average of repair calls per hour, with a standard deviation of . What is the mean and standard deviation of the number of calls it receives for -hour day? What, if anything, did you assume?
Answer:
Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.
Step-by-step explanation:
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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.
N-instances of a normal variable:
For n-instances of normal variable, the mean of the distribution is: [tex]m = n\mu[/tex], and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex]
What is the mean and standard deviation of the number of calls it receives for n-hour day?
Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.
Please help someone! Very important!
Answer:
OH NO
Step-by-step explanation:
Step-by-step explanation:
oh srr, I'm Vietnamese and I don't know your
country's solution
but i think my answer is correct :((
Profit = Revenue - Cost: P = R - C
(a) Solve for R.
(b) Find R when P = $4525 and C = $1475.
Answer:
(a) R = P +C
Revenue= Profit + Cost
(b) R = $6000
Step-by-step explanation:
(b) R = $4525 + $1475
= $6000
Cual es la ecuación recta de m=2 y p (2,3)
Answer:
y=2x-1
Step-by-step explanation:
use slope formula
the substitute into slope intercept form
What is the factorization of the trinomial below?
x2 - 6x + 5
O A. (X - 4)(x - 2)
O B. (X - 5)(x - 1)
O C. (x + 4)(x - 2)
O D. (x + 5)(x - 1)
B. [tex](x - 5)(x - 1)[/tex] ✅
Step-by-step explanation:
[tex] {x}^{2} - 6x + 5 \\ \\ = \:{x}^{2} - 5x - x + 5 [/tex]
Taking [tex]x[/tex] as common from first two terms and 1 from last two terms, we have
[tex] =\: x(x - 5) - 1(x - 5)[/tex]
Taking the factor [tex](x-5)[/tex] as common,
[tex]=\:(x - 5)(x - 1)[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Find the slope thanks
Answer the questions about the following polynomial.
-10x +1
Answer:
Step-by-step explanation:
Given polynomial is (-10x + 1).
This polynomial has two terms.
Therefore, it's a binomial with two separate terms.
The expression represents a binomial polynomial with two terms. The constant term is 1, the leading term is -10x, and the leading coefficient is (-10).
Translate the sentence into an equation. The quotient of a number and 8 is 16. What is the solution to the equation? One-half 2 128 164
Answer:
128
Step-by-step explanation:
I did the math
Answer:
it's 2 :)
Step-by-step explanation:
quotient is a term used in division so you divide
16 divided by 8 is 2 <3
don't forget to say thanks if you got it right ! :)
3+2×(8-5)+6
please answer if you answer I will follow if it is right
Answer: 3+2×(8-5)+6 =15
[tex]\sf\purple{15}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]3 + 2 \times (8 - 5) + 6 \\ \\ = 3 + 2 \times 3 + 6 \\ \\ = 3 + 6 + 6 \\ \\ = 15[/tex]
Note:-[tex]\sf\purple{BODMAS\: rule.}[/tex]
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Which summation properties or formulas must be used to evaluate this summation? Check all that
apply
Given:
Summation problem is:
[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]
To find:
The properties or formulas must be used to evaluate the given summation.
Solution:
We have,
[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]
In can be rewritten as:
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}(n^3+n)[/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}n^3+\sum\limits_{n=1}^{35}n[/tex] [tex]\left[\because \sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i\right][/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(35+1)}{2}\right]^2+\dfrac{35(35+1)}{2}[/tex] [tex]\left[\because \sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2\right][/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(36)}{2}\right]^2+\dfrac{35(36)}{2}[/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[630\right]^2+630[/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=396900+630[/tex]
[tex]\sum\limits_{n=1}^{35}n(n^2+1)=397530[/tex]
Therefore, the properties and formula used are:
[tex]\sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i,\\\sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\\\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2[/tex]
Answer: see attachment below
Step-by-step explanation:
What is the value of x? 63, 42, 50
Answer:
Step-by-step explanation:
I’m so confused plz help
Answer:
[tex]\frac{37}{2}[/tex] ÷ [tex]\frac{17}{4}[/tex]
Step-by-step explanation:
[tex]18\frac{1}{2} =\frac{37}{2}[/tex]
[tex]4\frac{1}{4} =\frac{17}{4}[/tex]
[tex]\frac{37}{2}[/tex] ÷ [tex]\frac{17}{4}[/tex]
What is the measure of angle y in the figure?
Answer:
y = 27
Step-by-step explanation:
The sum of the two angles is a right angle, which is 90 degrees
y+63 = 90
y = 90-63
y =27
Answer:
The measures of angle y is 30 °.
Step-by-step explanation:
We know that, the sum of two side of right angle is 90 °.
60 ° + y = 90 °
subtract 60 ° from each side
y = 90 ° - 60
y = 30 °
Therefore, the measures of angle y is 30°.
look at pic 10 pts will mark brainilest