Answer:
1/8(7x +2) +3x = 4x +9
Step-by-step explanation:
The value of x will be smallest when it is most negative. Here, that will occur when the numerator of the rational solution for x is as large a positive number as possible, and the denominator is a small negative number.
If we call the spaces a, b, ..., g, then the value of x is ...
x = (bg -ad)/(ac +b(e-f))
This is smallest (most negative) when bg is as large as possible (8·9), and ad is as small as possible (1·2). Then values for c, e, f can be chosen to make the denominator -1. The solution for x looks like ...
x = (8·9 -1·2)/(1·7 +8(3 -4)) = 70/-1 = -70
The smallest possible value of x is -70. One way to obtain that value is ...
1/8(7x +2) +3x = 4x +9
_____
There are numerous ways to obtain "indeterminate" results where the equation reduces to one with no solution. And there are a number of ways to have the solution be infinity: (ac-b(e-f)) = 0.
Given that one of the angles in a triangle is 60°, select the correct option for each statement.
is my answer correct or no bc im struggling with this question
Answer:
Yes, you got it correct, good job.
Suppose you are playing a game with one die at a casino. You win $1 if you get a 2 or a 6. You lose $2 if you get a 3, win $5 for rolling a 4, and lose $3 for rolling a 1. What is the expected value of this game? If you played the game repeatedly, would you expect to win or lose money? Why?
Answer:
if u played the game 6 times u would most likely get $7 but lose $5 so u would get $2 but more chances for u to gain money then lose it so if the game was full probability u should go for it. But casino games r a waste and uselessly rigged so ditch it.
What is the product of -1 3/8 and 2 4/5 expressed as a mixed number?
Answer:
For -1 3/8: 11/8
2 4/5: 14/5
Step-by-step explanation:
When you have a mixed number, take the whole number and multiply it by the denominater, then add the numerator to the product. That whole answer will be the new numerator, but the denominator won't change.
19+22+11 route written correctly using the commutative property and then simplify correctly
Answer:
11 + 22 + 19 = 52
Step-by-step explanation:
You can simplify 52 into 13, here's why ↓
4 x 13 = 52
Hope this helps!If so, give thanks! Keep learning and stay cool.QUESTION 24 - 1 POINT
A family picked 128 apples at the orchard. They eat the apples at a rate of 9 apples per day. Write a linear model in the form
a(t) = mt + b where a represents the number of apples remaining 1 days after picking the apples. Be sure to include "a(t)
="in your answer
The rate at which the family eats apples on a daily basis is an illustration of a linear model
The linear model of the scenario is a(t) = -9t + 128
How to determine the linear modelLinear models are used to illustrate scenarios with constant rates
A linear model is represented as:
a(t) = mt + b
Where:
m represents the rate (i.e. m = -9)b represents the initial value (i.e. b = 128)t represents the number of days, and a(t) represents the remaining appleSubstitute known values in the above equation
a(t) = -9t + 128
Hence, the linear model of the scenario is a(t) = -9t + 128
Read more about linear models at:
https://brainly.com/question/15602982
6. Jessie thinks that the first step in solving the equation shown below is to use the addition
property of equality. His friend Robin thinks that the multiplication property of equality
could be used first. Who is correct and why?
3
5
ixto
A. Jessie is correct because can first be added to both sides of the equation.
B. Robin is correct because both sides of the equation can first be multiplied by 10
C. Both are correct because the first step can be either to add 3/2 or to multiply by 10 on
both sides of the equation.
D. Neither is correct because neither adding nor multiplying by 10 on both sides of the
equation is a valid step.
The equation is missing and it is;
(2/5)x - 3/2 = (5/2)x + 6
Complete options are;
A. Jessie is correct because 3/2 can first be added to both sides of the equation.
B. Robin is correct because both sides of the equation can first be multiplied by 10
C. Both are correct because the first step can be either to add 3/2 or to multiply by 10 on both sides of the equation.
D. Neither is correct because neither adding nor multiplying by 10 on both sides of the
Answer:
option B: Robin is correct because both sides of the equation can first be multiplied by 10
Step-by-step explanation:
The given equation is;
(2/5)x - 3/2 = (5/2)x + 6
Now, looking at this, we have fraction terms. Thus, the first step will be to find a way to clear the denominators in order to make every term a whole number.
The denominators we have are: 2 and 5.
So to clear the denominator we'll multiply each term by 10 which is a product of 2 and 5.
Looking at the options, the correct answer is option B: Robin is correct because both sides of the equation can first be multiplied by 10
20 POINTS
Part D How many of the 320 million Americans would you predict wear CORRECTIVE lenses?
Answer:
320,000,000 * 0.638 = 204,160,000
Step-by-step explanation:
Assuming the sample is a good representation of the people from the United States.
Since there were 1,000 surveyed... and 638 of them were wearing glasses, that makes a proportion of 638 out of 1,000 people, or 63,8 / 100 people... so 63.8%... or 0.638
So, if we assume that the US population is of 320 million, how many people does that make wearing glasses.... we just have to multiply 320M by 0.638
2(67+8)*3 plz help
A. 450
B.908
C.154
D 679
Answer:
A. 450
Step-by-step explanation:
Answer:
its a the answer 450
Step-by-step explanation:
Here is why
2(67+8) (3)
= (2) (75) (3)
=(150) (3)
= 450
hope it helps
Charlotte has 30 beads. She has 8 more red beads than blue beads.
Which equation represents this situation?
Answer:
I think it is the last One
Step-by-step explanation:
Answer:it’s the last one
Step-by-step explanation: I did the test
Mary got a raise of 2% on her salary. If her original salary was $160,000, how much is it after the raise is implemented?
Mary new salary is $163,200
2% means 2 / 100 = 0.02
A raise implies addition to the original amount, therefore
160000 + 0.02 * 160000
160000 + 3200
163200
Simplify this complex fraction 2/5 divided by 5/8
Answer:
1 19/21
Step-by-step explanation:
brainliest pls :D
Answer:
0.64
Step-by-step explanation:
Let's think about a few simple examples. Once you understand them, you
will be able to put them together to make harder problems.
Ex: What is 2 divided by 1/5? Here are 2 blocks:
+---------+---------+
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
| | |
+---------+---------+
Here is 1/5 of a block (the shaded part):
+---------+
|XXXXXXXXX|
+.........+
| |
+.........+
| |
+.........+
| |
+.........+
| |
+---------+
To divide 2 by 1/5, we divide 2 blocks into pieces the size of the 1/5
block.
+---------+---------+
| | |
+.........+.........+
| | |
+.........+.........+
| | |
+.........+.........+
| | |
+.........+.........+
| | |
+---------+---------+
There are 10 pieces this size in the 2 blocks. In other words,
2 divided by 1/5 = 10
That's the same as
2 x 5 = 10
Do you see why? To make 1/5 size blocks, we had to make each whole
block into 5 pieces. In other words, we multiplied the number of
pieces by 5.
Next problem:
2 divided by 2/5 = ?
Here is 2/5 of a block (the shaded part):
+---------+
|XXXXXXXXX|
+.........+
|XXXXXXXXX|
+.........+
| |
+.........+
| |
+.........+
| |
+---------+
Let's divide the 2 blocks into pieces this size.
+---------+---------+
| | |
+ + +
| | |
+.........+.........+
| | |
+ + +
| | |
+.........+.........+
| |
+---------+---------+
The bottom block is a different shape, but it's the same size, because
it's made of 2 1/5-size pieces. Since the pieces we want are twice as
big, there are only 1/2 as many of them. The answer is
2 divided by 2/5 = 10/2 = 5
This is the same as
2 x 5/2 = 5
Do you see how the two equations are related? You take the fraction,
2/5, and "turn it upside down" (in math words, we say "invert the
fraction," or "take its reciprocal"). Then replace the division sign
by a multiplication sign.
Now we can tackle harder problems. The same method always works, even
if the answer isn't a whole number as in the simple examples. For
instance,
5 divided by 3/8 = ?
Ex: Invert the fraction 3/8; you get 8/3. Then multiply by this fraction:
5 x 8/3 = 40/3 = 13 1/3
We can even replace the whole number in the problem with a fraction,
like this:
5/7 divided by 3/8 = ?
5/7 x 8/3 = ?
5 8 40 19
--- x --- = ---- = 1 ----
7 3 21 21
If you are comfortable with multiplying fractions, then you will have
no trouble dividing fractions. Just remember: invert the fraction you
are dividing by (the divisor), and multiply instead of dividing. Hope this helps! :)
Find the area of the polygon with the given vertices.
G(2,2) H(3,-1) J(-2,-1)
Answer:
8
Step-by-step explanation:
hope this helps you
X+33% of X = 266
Answer:- 200
x + (1 + 33%) = 266
x * 1,33 = 266
x = 266 : 1,33
x = 200
Hello
x + 0.33 x = 266
1.33 x = 266
x = - 200
What is 2(a +8) pls help me I want to pass
Answer:
2a+16
Step-by-step explanation:
Your first distribute 2(a+8) and get 2a+16.
Whenever a number is in front of a group of numbers in parenthesis, then it is always multiplying. You have to multiply both numbers, and that's how I got 2a+16. Hopefully this helps!
We discovered that 650 GSS respondents in 2006 watched television for an average of 2.98 hrs/day, with a standard deviation of 2.4 hours. Answer the following questions, assuming the distribution of the number of television hours is normal. What is the Z score for a person who watches more than 8 hrs/day. 2.09 What proportion of people watch 5 hrs/day or more television? 0.84 How many does this correspond to in the sample? 130 What number of television hours per day corresponds to a Z +1. -0.825 What is the percentage of people who watch between 1 and 6 hours of television per day? Please round to a whole number 1.26
Answer:
a)2.09
b) 0.2
c) 130 correspondents
d) 5.38 hours per day
e) 69%
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where
x is the raw score,
μ is the population mean,
σ is the population standard deviation.
Mean = average of 2.98 hrs/day, Standard deviation = 2.4 hours.
a) What is the Z score for a person who watches more than 8 hrs/day.
z = (x-μ)/σ
= 8 - 2.98/2.4
= 2.09167
≈ 2.09
b) What proportion of people watch 5 hrs/day or more television?
z = (x-μ)/σ
= 5 - 2.98/2.4
= 0.84167
P-value from Z-Table:
P(x<5) = 0.80001
The proportion that watches 5 hrs/day or more television?
P(x>5) = 1 - P(x<5) = 0.19999
≈ 0.2
c) How many does this correspond to in the sample?
From the question we are told:
650 GSS respondents in 2006 watched television for an average of 2.98 hrs/day, with a standard deviation of 2.4 hours.
Hence, the proportion that corresponds to people who watch 5 hrs/day or more television form the samples is
0.2 × 650
= 130 correspondents.
d) What number of television hours per day corresponds to a Z +1.
z = (x-μ)/σ
+1 = x - 2.98/2.4
Cross Multiply
1 × 2.4 = x - 2.98
2.4 = x - 2.98
x = 2.4 + 2.98
x = 5.38 hours per day
e) What is the percentage of people who watch between 1 and 6 hours of television per day?
Step 1
For 1 hour
z = (x-μ)/σ
= 1 - 2.98/2.4
= -0.825
Probability value from Z-Table:
P(x = 1) = 0.20469
Step 2
For 6 hours
z = (x-μ)/σ
= 6 - 2.98/2.4
= 1.25833
Probability value from Z-Table:
P(x = 6) = 0.89586
The percentage of people who watch between 1 and 6 hours of television per day is
P(x = 6) - P(x = 1)
= 0.89586 - 0.20469
= 0.69117
Converting to percentage =
0.69117 × 100
= 69.117 %
Approximately = 69%
Assuming that 6 in 10 automobile accidents are due mainly to a speed violation, find the probability that among 8 automobile accidents, 6 will be due mainly to a speed violation (a) by using the formula for the binomial distribution; (b) by using Table A.1.
Answer:
A ) 0.2090 B) .2090
Step-by-step explanation:
∙Let random variable XX represent the number of accidents due to speed violation among 8 automobile accidents.
Lets consider it success if an accident is due to speed violation.
-Probability of a success in each trial is p = 6/10 = 0.6
-Because the trials are independent, XX has a binomial distribution with parameters n = 8n=8 and p = 0.60p=0.60
The probability that among 8 automobile accidents, 6 will be due mainly to a speed violation will be 0.75.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that, the probability that among 8 automobile accidents, 6 will be due mainly to a speed violation.
In everyday life, risk modeling and assessment involve the use of probability theory. Actuarial science is used by the insurance sector and markets to set pricing and decide which securities to trade. Environmental regulation, entitlement analysis, and financial regulation are all areas where governments use probabilistic methods.
Probability =favorable outcome/ total outcome
Probability = 6/8
Probability =0.75
Thus, the probability that among 8 automobile accidents, 6 will be due mainly to a speed violation will be 0.75.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
Which two statements true ?
does p-4=-9+p have no solution, one solution, or infinite solutions
17.52 - 106
(7.2 + 1.09)
Answer:
-88.48
8.29
Step-by-step explanation:
What’s the answer to this problem 3x36-(81/9-8)+16/4=
Answer:
108x - 69
Step-by-step explanation:
Reduce the numbers with greatest common divisor 9 Calculate the productReduce the fraction with 4Subtract the numbersCalculate the sumNeed help with this
Answer:
A: yes
B: no
C: yes
D: no
Step-by-step explanation:
edit: just realized the person above put the same answer. I am positive we have the correct answer.
find gradient
xe^y + 4 ln y = x² at (1, 1)
[tex]xe^y+4\ln y=x^2[/tex]
Differentiate both sides with respect to x, assuming y = y(x).
[tex]\dfrac{\mathrm d(xe^y+4\ln y)}{\mathrm dx}=\dfrac{\mathrm d(x^2)}{\mathrm dx}[/tex]
[tex]\dfrac{\mathrm d(xe^y)}{\mathrm dx}+\dfrac{\mathrm d(4\ln y)}{\mathrm dx}=2x[/tex]
[tex]\dfrac{\mathrm d(x)}{\mathrm dx}e^y+x\dfrac{\mathrm d(e^y)}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x[/tex]
[tex]e^y+xe^y\dfrac{\mathrm dy}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x[/tex]
Solve for dy/dx :
[tex]e^y+\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x[/tex]
[tex]\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x-e^y[/tex]
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x-e^y}{xe^y+\frac4y}[/tex]
If y ≠ 0, we can write
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2xy-ye^y}{xye^y+4}[/tex]
At the point (1, 1), the derivative is
[tex]\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=1,y=1}=\boxed{\dfrac{2-e}{e+4}}[/tex]
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Step-by-step explanation:
take the reference of the above picture
hope that helps
Prove that 5^7 + 5^6 is divisible by 6
5^7 + 5^6 = __ • 6
Answer:
Step-by-step explanation:
[tex]5^{7}[/tex] + [tex]5^{6}[/tex] = 5 × [tex]5^{6}[/tex] + [tex]5^{6}[/tex] = [tex]5^{6}[/tex] ( 5 + 1 ) = [tex]5^{6}[/tex] · 6
Hey there!
[tex] -› \: {5}^{7} + {5}^{6} [/tex]
[tex]-› 78,125 + 15,625[/tex]
[tex]-› \: 93750[/tex]
[tex]-› \: 93750 \div 6[/tex]
[tex]-› \: 15625[/tex]
Therefore, It's divisible by 6
what is 12x12-11+14-18=?
Answer:
129
Step-by-step explanation:
First we check for parentheses which there is none.
We would first do 12 x 12=144
Then we would do addition and subtraction left to right.
so just in order.
Second we would do 144 - 11=133
Third we would do 133 + 14=147
And last 147 - 18=129 And there's your answer.
Hope it helps have a great day:)
Henry painted a picture of his house on canvas. The actual width of the driveway is 20 fr. If it represented with a. width of 4in on the canvas, what was the scale factor used?
2(3x + 3) + 2(4x) = 48
6x + 6 + 8x = 48
14x + 6 = 48
14x = 54
x= 3.86
What’s is the mistake
In a sample of 100 steel wires the average breaking strength is 50 kN, with a standard deviation of 2 kN. a. Find a 95% confidence interval for the mean breaking strength of this type of wire. b. Find a 99% confidence interval for the mean breaking strength of this type of wire. c. An engineer claims that the mean breaking strength is between 49.7 kN and 50.3 kN. With what level of confidence can this statement be made? d. How many wires must be sampled so that a 95% confidence interval specifies the mean breaking strength to within ±0.3 kN? e. How many wires must be sampled so that a 99% confidence interval specifies the mean breaking strength to within ±0.3 kN?
Answer:
.
Step-by-step explanation:
1.
Alpha = 0.05. alpha/2 = 0.025
Under the z table
Z 0.025 = 1.96
50+-1.96(2/√100)
= 50+-0.39
50+0.39 = 50.39
50-0.39 = 49.61
2.
At 99%
Alpha = 0.01
Alpha/2 = 0.005
In z table
= 2.58
50+-(2.58)(2√100)
= 50 +- 0.52
= 50+0.52 = 50.52
50 - 52 = 49.48
Please check attachment for answers 3 to 5. The test editor did not work properly. It kept flagging some of my typed content.
Using the z-distribution, it is found that:
a) The 95% confidence interval for the mean breaking strength of this type of wire, in kN, is (49.61, 50.39).
b) The 99% confidence interval for the mean breaking strength of this type of wire, in kN, is (49.49, 50.52).
c) The confidence level is of 86.64%.
d) 171 wires must be sampled.
e) 295 wires must be sampled.
We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.
The information given is:
Sample mean of [tex]\overline{x} = 50[/tex]. Population standard deviation of [tex]\sigma = 2[/tex]. Sample size of [tex]n = 100[/tex].The confidence interval is:
[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]
The margin of error is of:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Item a:
The first step is finding the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Hence, the interval is:
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 50 - 1.96\frac{2}{\sqrt{100}} = 49.61[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 50 + 1.96\frac{2}{\sqrt{100}} = 50.39[/tex]
The 95% confidence interval for the mean breaking strength of this type of wire, in kN, is (49.61, 50.39).
Item b:
[tex]\alpha = 0.99[/tex], thus, z with a p-value of [tex]\frac{1 + 0.99}{2} = 0.995[/tex], which means that it is z = 2.575.
[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 50 - 2.575\frac{2}{\sqrt{100}} = 49.49[/tex]
[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 50 + 2.575\frac{2}{\sqrt{100}} = 50.52[/tex]
The 99% confidence interval for the mean breaking strength of this type of wire, in kN, is (49.49, 50.52).
Item c:
The margin of error is:
[tex]M = \frac{50.3 - 49.7}{2} = 0.3[/tex]
Hence:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.3 = z\frac{2}{\sqrt{100}}[/tex]
[tex]0.2z = 0.3[/tex]
[tex]z = 1.5[/tex]
z = 1.5 has a p-value of 0.9332, hence:
[tex]\frac{1 + \alpha}{2} = 0.9332[/tex]
[tex]1 + \alpha = 2(0.9332)[/tex]
[tex]\alpha = 0.8664[/tex]
The confidence level is of 86.64%.
Item d:
This is n for which M = 0.3, with z = 1.96, hence:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.3 = 1.96\frac{2}{\sqrt{n}}[/tex]
[tex]0.3\sqrt{n} = 1.96(2)[/tex]
[tex]\sqrt{n} = \frac{1.96(2)}{0.3}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96(2)}{0.3}\right)^2[/tex]
[tex]n = 170.7[/tex]
Rounding up, 171 wires must be sampled.
Item e:
Now z = 2.575, hence:
[tex](\sqrt{n})^2 = \left(\frac{2.575(2)}{0.3}\right)^2[/tex]
[tex]n = 294.7[/tex]
Rounding up, 295 wires must be sampled.
A similar problem is given at https://brainly.com/question/25325640
If (x+ 4) is a factor of polynomial p, which statement must be true?
A. P(-4) = 0
B. p(4) < 0
C. p(4) = 0
D. P(-4) > 0
Answer:
A
Step-by-step explanation: