Answers
Answer:
Slope: 7/5 , Y-int: 1/5
Step-by-step explanation:
To find the slope, lets use the points (-3,-4) and (2,3)
The slope formula is (y2-y1)/(x2-x1) so we will plug in the numbers.
(3-(-4))/(2-(-3))=7/5. 7/5 is the slope (you can also do rise over run)
We find the y-int in many ways but i will show two.
We can make an equation in point-slope form. The formula is: y-y1=m(x-x1) and we use the point (-3,-4).
y-(-4)=7/5(x-(-3))
y+4=7/5x+21/5 (then move the 4 to the other side)
y=7/5x+1/5
The 1/5 is our y-int since we now have it in slope intercept form!
The other method we can use is putting it into slope intercept form first and using (-3,-4) to find the missing variable.
Slope intercept form is y=mx+b, let m be slope, b is y int, and (x,y) is our point
-4=(7/5)(-3)+b
-4=-21/5+b (move -15/7 to other side)
1/5=b !
we get the same answer I hope this helps sorry its long
Related Questions
A call center receives 25 callers per minute on average. On average, a caller spends 1 minute on hold and 4 minutes talking to a service representative. On average, how many callers are "in" the call center
Answers
Answer:
"125 callers" is the right answer.
Step-by-step explanation:
Given values:
Arrival calls rate,
= 25 per minute
Talking time,
= 4 minutes
Hold time,
= 1 minute
The flow time will be:
= [tex]1 \ minute \ + 4 \ minutes[/tex]
= [tex]5 \ minutes[/tex]
Flow rate,
= [tex]Arrival \ calls \ rate[/tex]
= [tex]25 \ per \ minute[/tex]
By using the Little's law,
⇒ [tex]WIP = Flow \ rate\times Flow \ time[/tex]
By substituting the values, we get
[tex]= 25\times 5[/tex]
[tex]=125[/tex]
Thus the above is the correct approach.
whats the value of 5 in the product of 6,541 x 100
Answers
Answer:
50,000
Step-by-step explanation:
The product would be 654,100. Replace the other numbers to find the value of 5. The value of 5 is 050,000 or 50,000.
I hope this helps!
Which rules of exponents will be used to evaluate the expression. Check all that apply.
[
1791
quotient of powers
product of powers
power of a power
power of a product
negative exponent
zero exponent
Answers
Answer:
product of power
Step-by-step explanation:
I think this will help you
__ (5 + 4) = 2 * 5 + 2 * 4
PLEASE EXPLAIN HOW YOU GOT THE ANSWER
Answers
Answer:
x = 2
Step-by-step explanation:
→ Simplify
x × ( 9 ) = 10 + 8
→ Further simplify
9x = 18
→ Divide both sides by 9
x = 2
Write as an algebraic expression: *20% of 75% of y
Answers
Answer:
0.15y
Step-by-step explanation:
0.2*0.75*y = 0.15y
Given $f(x) = \frac{\sqrt{2x-6}}{x-3}$, what is the smallest possible integer value for $x$ such that $f(x)$ has a real number value? Please show steps. Thank you!
(I rewrote the question without the symbols, they are the same question)
Given f(x) = {2x-6}/{x-3}, what is the smallest possible integer value for x such that f(x) has a real number value? Thank you!
Answers
===========================================================
Explanation:
The given function is
[tex]f(x) = \frac{\sqrt{2x-6}}{x-3}[/tex]
which is the same as writing f(x) = ( sqrt(2x-6) )/(x-3)
The key for now is the square root term. Specifically, the stuff underneath. This stuff is called the radicand.
Recall that the radicand cannot be negative, or else the square root stuff will result in a complex number. Eg: [tex]\sqrt{-4} = 0+2i[/tex]
The question is basically asking: what is the smallest x such that [tex]\sqrt{2x-6}[/tex] is a real number?
Well if we made 2x-6 as small as possible, ie set it equal to 0, then we can find the answer
[tex]2x-6 = 0\\\\2x = 6\\\\x = 6/2\\\\x = 3\\\\[/tex]
I set the radicand equal to 0 because that's as small as the radicand can get (otherwise, we're dipping into negative territory).
So 2x-6 set equal to 0 leads to x = 3.
This means x = 3 produces the smallest radicand (zero) and therefore, it is the smallest allowed x value for that square root term.
But wait, if we tried x = 3 in f(x), then we get...
[tex]f(x) = \frac{\sqrt{2x-6}}{x-3}\\\\f(3) = \frac{\sqrt{2*3-6}}{3-3}\\\\f(3) = \frac{\sqrt{0}}{0}\\\\[/tex]
which isn't good. We cannot have 0 in the denominator. Dividing by zero is not allowed. The result is undefined. It doesn't even lead to a complex number. So we'll need to bump x = 3 up to x = 4. You should find that x = 4 doesn't make the denominator 0.
----------------
In short, we found that x = 3 makes the square root as small as possible while staying a real number, but it causes a division by zero error with f(x) overall. So we bump up to x = 4 instead.
Consider the probability that at most 85 out of 136 DVDs will work correctly. Assume the probability that a given DVD will work correctly is 52%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
Answers
Answer:
Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the necessary conditions are satisfied.
0.9945 = 99.45% probability that at most 85 out of 136 DVDs will work correctly.
Step-by-step explanation:
Test if the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
It is needed that:
[tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed 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.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Assume the probability that a given DVD will work correctly is 52%.
This means that [tex]p = 0.52[/tex]
136 DVDs
This means that [tex]n = 136[/tex]
Test the conditions:
[tex]np = 136*0.52 = 70.72 \geq 10[/tex]
[tex]n(1-p) = 136*0.48 = 65.28 \geq 10[/tex]
Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the necessary conditions are satisfied.
Mean and standard deviation:
[tex]\mu = E(X) = np = 136*0.52 = 70.72[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{136*0.52*0.48} = 5.83[/tex]
Consider the probability that at most 85 out of 136 DVDs will work correctly.
Using continuity correction, this is [tex]P(X \leq 85 + 0.5) = P(X \leq 85.5)[/tex], which is the p-value of Z when X = 85.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{85.5 - 70.72}{5.83}[/tex]
[tex]Z = 2.54[/tex]
[tex]Z = 2.54[/tex] has a p-value of 0.9945.
0.9945 = 99.45% probability that at most 85 out of 136 DVDs will work correctly.
Please help! I will give you a lot of points if you do and the brainiest!
Answers
Answer:
First truth table:
~q p V ~q ~(p V ~q)
F T F
T T F
F F T
T T F
Second truth table:
~q p V ~q ~(p V ~q)
F T F
Step-by-step explanation:
The ~ operator is a negator (or NOT), such that it is the opposite of the sign.
The first column wants the negation of [tex]q[/tex], and the values of q are
T, F, T, F, for the columns starting from the top. The negation for the columns are F, T, F, T.
For the second column, The 'V' operator is the OR operator, so a single True, or T will result in a True.
For the first row, not q is F, and T OR F will result in T.
For the second row, not q is T, and T OR T will result in T.
For the third row, not q is F, and F OR F will result in F.
For the fourth row, not q is T, and F OR T will result in T.
In the last column, we must figure out not p OR not q, which we did in the last column, so all we must do is figure out the NOT of values of the last column.
The values of the last column are T, T, F, T, respectively, so the not of the columns will be F, F, T, F.
In the bottom truth table, not q, will be F because the value of q is T. The second column wants p OR not q, and we already know that not q is F, and the value of p is T. T OR F is equal to T. In the last column, the question wants the not of p OR not q, which we did in the last column, so we must figure out the not value of the last column, which is T. The not of T is F.
Help Asap!
Which transformations have been performed on the graph of [tex]f(x)=\sqrt[3]{x}[/tex]to obtain the graph of [tex]g(x)-2\sqrt[3]{x}-1[/tex]
Select each correct answer.
translate the graph down
reflect the graph over the x-axis
translate the graph up
translate the graph to the right
compress the graph closer to the x-axis
stretch the graph away from the x-axis
translate the graph to the left
Answers
9514 1404 393
Answer:
translate the graph downreflect the graph over the x-axisstretch the graph away from the x-axisStep-by-step explanation:
We assume your function is intended to be ...
[tex]g(x)=-2\sqrt[3]{x}-1[/tex]
The coefficient -2 does two things. Because it is negative, it causes the graph to be reflected across the x-axis. Because it is greater than 1, it causes the graph to be stretched away from the x-axis.
The added constant of -1 causes each y-value to be lower than it was, so translates the graph down 1 unit.
how induction coil work
Answers
Answer:
Induction produces an electromagnetic field in a coil to transfer energy to a work piece to be heated. When the electrical current passes along a wire, a magnetic field is produced around that wire
Step-by-step explanation:
On the Navajo Reservation, a random sample of 210 permanent dwellings in the Fort Defiance region showed that 69 were traditional Navajo hogans. In the Indian Wells region, a random sample of 162 permanent dwellings showed that 22 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region.
Required:
a. Find a 99% confidence interval for p 1 - P2.
b. Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive?
Answers
Answer:
a) The 99% confidence interval for the difference of proportions is (0.0844, 0.3012).
b) We are 99% sure that the true difference in proportions is between 0.0844 and 0.3012. Since all values are positive, there is significant evidence at the 1 - 0.99 = 0.01 significance level to conclude that the proportion is the Fort Defiance region is higher than in the Indian Wells region.
Step-by-step explanation:
Before finding the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem establishes 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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Fort Defiance:
69 out of 210, so:
[tex]p_1 = \frac{69}{210} = 0.3286[/tex]
[tex]s_1 = \sqrt{\frac{0.3286*0.6714}{210}} = 0.0324[/tex]
Indian Wells:
22 out of 162, so:
[tex]p_2 = \frac{22}{162} = 0.1358[/tex]
[tex]s_2 = \sqrt{\frac{0.1358*0.8642}{162}} = 0.0269[/tex]
Distribution of the difference:
[tex]p = p_1 - p_2 = 0.3286 - 0.1358 = 0.1928[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0324^2 + 0.0269^2} = 0.0421[/tex]
a. Find a 99% confidence interval for p1 -p2.
The confidence interval is:
[tex]p \pm zs[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower bound of the interval is:
[tex]p - zs = 0.1928 - 2.575*0.0421 = 0.0844[/tex]
The upper bound of the interval is:
[tex]p + zs = 0.1928 + 2.575*0.0421 = 0.3012[/tex]
The 99% confidence interval for the difference of proportions is (0.0844, 0.3012).
Question b:
We are 99% sure that the true difference in proportions is between 0.0844 and 0.3012. Since all values are positive, there is significant evidence at the 1 - 0.99 = 0.01 significance level to conclude that the proportion is the Fort Defiance region is higher than in the Indian Wells region.
The population model given dP/dt â P or dP dt = kP (1)
fails to take death into consideration; the growth rate equals the birth rate. In another model of a changing population of a community it is assumed that the rate at which the population changes is a net rate that is, the difference between the rate of births and the rate of deaths in the community. Determine a model for the population P(t) if both the birth rate and the death rate are proportional to the population present at time t > 0.
Answers
Answer:
.
Step-by-step explanation:
a group of workers can plant 3/5 acres in 5/6 days. what is the unit rate per day?
Answers
Answer:
Workers can plant 0.72 acres per day.
For the experiment of rolling a single fair die, find the probability of obtaining not greater than 5
Answers
Answer:
4/6
Step-by-step explanation:
Just a guess
Natalie Jenny, Steve and Jatin paid $12 for their taxi. They shared this equally between them. What fraction did each pay?
Answers
Answer:
1/4
Step-by-step explanation:
12/4= 3
Each paid $3 but as a fraction 3/12=1/4
Answer:
[tex] \frac{1}{4} [/tex]
Step-by-step
12÷4=3
3/12=1/4-each pay this fraction
b) 104 : {559 + (7 · 3)3 : [(4 · 52)2 : 500 + 1]}.
Answers
Answer:
-59,844,616
563,576
Step-by-step explanation:
it is very simple bro
If a household appliance has a wattage of 1,892 and is in use for 5, how much CO2 was produced? Round to 1 decimal.
Answers
Answer:
Step-by-step explanation:
dude what class?
What is the slope of the line that passes through the points (-7, -4) and
(-11, -2)? Write your answer in simplest form.
Answers
Answer:
-1/2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( -2 - -4)/( -11 - -7)
=( -2+4)/( -11+7)
= 2 / -4
= -1/2
(3x - 2)^5 =(3x - 2)^2
Answers
Answer:
x=3/2,1
Step-by-step explanation:Given
(3x-2)ˆ5-(3x-2)ˆ2=0
(3x-2)ˆ3(3x-2)ˆ2-(3x-2)ˆ2=0
(3x-2)ˆ2{(3x-2)ˆ3-1}=0
(3x-2)ˆ2=0 Or (3x-2)ˆ3-1=0
3x-2=0 Or(3x-2)ˆ3=1
x=3/2 Or 3x-2=1, x=1
Make
x
the subject of the formula
x
+
4
=
q
Answers
Answer:
x = q-4
Step-by-step explanation:
x+4 = q
Subtract 4 from each side
x+4-4 = q-4
x = q-4
Answer:
x + 4
Step-by-step explanation:
x + 4 = q
4 = x + q
4 = x
x + 4
Use the given conditions to write an equation for each line in point-slope form and slope-intercept form.
Slope= 1/3, passing through the origin.
Answers
Answer:
y = 1/3x y - 0 = 1/3 (x - 0)
Step-by-step explanation:
slope intercept: y = 1/3x
point slope: y - 0 = 1/3 (x - 0)
An individual has a forearm length that places a 25 kg weight 32 cm from the elbow while being held in the hand. The biceps tendon attaches to the radius 4 cm from the elbow. How much force must the flexor group produce to move the weight?
Answers
Answer:
Force need F2 = 2000 N
Step-by-step explanation:
Given:
Weight F1 = 25 kg = 25 x 10 = 250 N
Length L1 = 32 cm
Add new length = 4 cm
Net momentum = 0
Find:
Force need F2
Computation:
F2L2 - F1L1 = 0
F2(4) - (250)(32) = 0
F2(4) - 8000 = 0
F2(4) = 8000
F2 = 8000 / 4
F2 = 2000
Force need F2 = 2000 N
Need help is this right or what is the right answer
Answers
Answer:
A
Step-by-step explanation:
the answer is A and not C. equation in form of y=mx+b
so start off by (0,2) and you can see the graph go by 1 x and 1 y.
C=n+2
Answer:
A
Step-by-step explanation:
its starting point is 2 up to +2 and it goes up at out by 1 so n also ik this was already answered but i want the brainly points
Quadrilaterals STUV and ABCD are congruent. The side length of each square on the grid is 1 unit.
A. only sequence a
B. only sequence b
C. both
D. neither
_______________________________
use the image below !
Answers
Answer:
both
Step-by-step explanation:
Congruent shapes have equal corresponding side lengths
The true statement is (c) both
To map the quadrilaterals on one another, then the sequence of transformation must be rigid transformation
The given sequence of transformations are both rigid, and they both would map quadrilaterals STUV and ABCD
Hence, the true statement is (c) both
Read more about transformation at:
https://brainly.com/question/4289712
Which of the following is correctly written in Standard Form? −3x + 7y = 12, y = 3/7x + 6 ,5x − 4y = 9 ,3/7x + 2y =9
Answers
p(x)=Third-degree, with zeros of −3, −1, and 2, and passes through the point (1,12).
Answers
Answer:
The polynomial is:
[tex]p(x) = -x^3 - 2x^2 + 5x + 6[/tex]
Step-by-step explanation:
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Zeros of −3, −1, and 2
This means that [tex]x_1 = -3, x_2 = -1, x_3 = 2[/tex]. Thus
[tex]p(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)[/tex]
[tex]p(x) = a(x - (-3))*(x - (-1))*(x-2)[/tex]
[tex]p(x) = a(x+3)(x+1)(x-2)[/tex]
[tex]p(x) = a(x^2+4x+3)(x-2)[/tex]
[tex]p(x) = a(x^3+2x^2-5x-6)[/tex]
Passes through the point (1,12).
This means that when [tex]x = 1, p(x) = 12[/tex]. We use this to find a.
[tex]12 = a(1 + 2 - 5 - 6)[/tex]
[tex]-12a = 12[/tex]
[tex]a = -\frac{12}{12}[/tex]
[tex]a = -1[/tex]
Thus
[tex]p(x) = -(x^3+2x^2-5x-6)[/tex]
[tex]p(x) = -x^3 - 2x^2 + 5x + 6[/tex]
Complete the coordinate table for the given equation.
Xy=-4
Answers
Step-by-step explanation:
X= -4,-2,2,4 (respectively)
Y=4,-4 (respectively)
hope it helps
Find the missing segment in the image below
Answers
Answer: Missing segment = 45
Step-by-step explanation:
Concept:
Here, we need to know the idea of a similar triangle, ratio, and cross-multiplication.
In similar triangles, one can be obtained from the other by uniformly scaling (enlarging or reducing), possibly with additional translation, rotation and reflection. If two objects are similar, each is congruent to the result of a particular uniform scaling of the other.
A ratio is a quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
Cross-multiplication means multiplying the numerator of each fraction by the other's denominator or the other way round.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
Let x be the length of missing segment
Step One: write the proportion ratio
56 / 56 + 24 = 105 / 105 + x
Step Two: Cross-multiplication
56 (105 + x) = 105 ( 56 + 24)
Step Three: Simplify parenthesis and expand it
56 ( 105 + x) = 105 (80)
5880 + 56x = 8400
Step Four: Subtract 5880 on both sides
5880 + 56x - 5880 = 8400 - 5880
56x = 2520
Step Five: Divide 56 on both sides
56x / 56 = 2520 / 56
x = 45
Hope this helps!! :)
Please let me know if you have any questions
To what extent do syntax textbooks, which analyze the structure of sentences, illustrate gender bias? A study of this question sampled sentences from 10 texts.23 One part of the study examined the use of the words "girl," "boy," "man," and "woman." We will call the first two words juvenile and the last two adult. Is the proportion of female references that are juvenile (girl) equal to the proportion of male references that are juvenile (boy)? Here are data from one of the texts:
Answers
Answer: Hello your question is incomplete attached below is the complete question
answer:
i) 0.8 , standard error = 0.0516
ii) 0.39, standard error = 0.0425
Step-by-step explanation:
i) proportion of Juveniles reference for females ( f )
= x₁ / n₁ = 48 / 60 = 0.8
standard error = [tex]\sqrt{\frac{0.8(1-0.8)}{60} }[/tex] = 0.0516
ii) Proportion of Juveniles reference for males ( m )
= x₂ / n₂ = 52 / 132 = 0.39
standard error = [tex]\sqrt{\frac{0.39(1-0.39)}{132} }[/tex] = 0.0425
Which function has a domain and range that includes all real values?
Answers
Answer:
the third one
the line extends in both ways forever
