Answer:
The answer is X=21
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Simplify 1/3 and 1/2
It would look like [tex]\frac{(x+6)}{3} -\frac{(x-3)}{2}[/tex]
then[tex]\frac{21-x}{6}=0[/tex]
then mutiply 6 to each side and it will look like 21-x = 0
Last, subtract 21 from each side and it will be
21=x
) How many digits are in the number 13,692,540?
Simplify an expression for the area of a rectangle with side lengths 12 and (5/6x+23).
Answer:
10x+23 (pretty sure) and the * means multiply
Step-by-step explanation:
[tex]12*(5\6x+23)\\12*5/6x\\12/1*5/6x\\60/6x\\10x+23[/tex]
Example 3 with Try Another One
ë Additional Example 3
)) Explain whether each of the following is a
rational number.
A. 4.078
B. 5.033919
C. 0.20878356
Help!!!!!! I need to know if it's right!
Answer:
I think it's right
Step-by-step explanation:
as -1×-1=+1 (positive 1)
which is different from the answer in step 1 because you needs to get -1 for the correct answer.
-1(x-1)= -x+1
the real answer is -1(x+1)= -x-1
Julian factored -1 incorrectly in the second step. The correct option is B.
What is a polynomial?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
Given polynomial 2x⁴ + 2x³ - x² - x will be solved as below:-
P = 2x⁴ + 2x³ - x² - x
P = x ( 2x³ + 2x - x - 1 )
P = x ( 2x² [ x + 1 ] -1 ( x + 1 )
P = x ( 2x² - 1 ) ( x + 1 )
Therefore, Julian factored -1 incorrectly in the second step. The correct option is B.
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State weather the following can be expressed as a ratio 12g and 45kg
Answer:
The anwser is always Jesus
Step-by-step explanation:
Also there is no following
The ratio of 12gm and 45 kg in simplest form is 3750 : 1.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, Are two weights in different measurement forms, To write them as a ratio we have to make their scale of measurement equal.
We know 1kg is equal to 1000 grams.
Therefore, 45 kg is equal to 45000 grams.
So, The ratio of 12gm and 45 kg is 45000 : 12.
22500 : 6.
11250 : 3.
3750 : 1.
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At 6th grade camp there are 6 boys for every 5 girls. There are a total of 176 kids at camp. Daniel is trying to use a tape diagram to figure out how many boys will be at camp. If there are a total of 176 kids at 6th grade camp, how many boys will be at camp?
pls help i am in a hurry
Answer:
9d2nxdc
Step-by-step explanation:
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The value of a stock over a 12 year period form 2003 to 2015 is shown in the line graph. Which statement is not supported by the graph?
Answer:
an individual who invested in the market in 2006 has yet to regain the losses incurred in 2008
Step-by-step explanation:
(Will Mark Brainliest!!!)Choose the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1)
A: y + 3 = −5(x − 2)
B: y − 2 = −5(x + 3)
C: y + 3 = −(x − 2)
D: y − 2 = −(x + 3)
Answer:
b
Step-by-step explanation:
the point-slope form of the equation is equal to
what is 317.59 ÷ 34? PLEASE HELP PLEASE ASAP
Answer:
9.34088235
Step-by-step explanation:
Divide 317.59 by 34 .
The concentration of particles in a suspension is 50 per mL. A 5 mL volume of the suspension is withdrawn. a. What is the probability that the number of particles withdrawn will be between 235 and 265? b. What is the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52? c. If a 10 mL sample is withdrawn, what is the probability that the average number per mL of particles in the withdrawn sample is between 48 and 52? d. How large a sample must be withdrawn so that the average number of particles per mL in the sample is between 48 and 52 with probability 95%?
Answer:
(a) 0.6579
(b) 0.2961
(c) 0.3108
(d) 240
Step-by-step explanation:
The random variable X can be defined as the number of particles in a suspension.
The concentration of particles in a suspension is 50 per ml.
Then in 5 mL volume of the suspension the number of particles will be,
5 × 50 = 250.
The random variable X thus follows a Poisson distribution with parameter, λ = 250.
The Poisson distribution with parameter λ, can be approximated by the Normal distribution, when λ is large say λ > 10.
The mean of the approximated distribution of X is:
μ = λ = 250
The standard deviation of the approximated distribution of X is:
σ = √λ = √250 = 15.8114
Thus, [tex]X\sim N(250, 250)[/tex]
(a)
Compute the probability that the number of particles withdrawn will be between 235 and 265 as follows:
[tex]P(235<X<265)=P(\frac{235-250}{15.8114}<\frac{X-\mu}{\sigma}<\frac{265-250}{15.8114})[/tex]
[tex]=P(-0.95<Z<0.95)\\=P(Z<0.95)-P(Z<-0.95)\\=P(Z<0.95)-[1-P(Z<0.95)]\\=2P(Z<0.95)-1\\=(2\times 0.82894)-1\\=0.65788\\\approx 0.6579[/tex]
Thus, the value of P (235 < X < 265) = 0.6579.
(b)
Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:
[tex]P(48<\bar X<52)=P(\frac{48-50}{15.8114/\sqrt{5}}<\frac{\bar X-\mu}{\sigma/\sqrt{n}}<\frac{52-50}{15.8114/\sqrt{5}})[/tex]
[tex]=P(-0.28<Z<0.28)\\=P(Z<0.28)-P(Z<-0.28)\\=P(Z<0.28)-[1-P(Z<0.28)]\\=2P(Z<0.28)-1\\=(2\times 0.64803)-1\\=0.29606\\\approx 0.2961[/tex]
Thus, the value of [tex]P(48<\bar X<52)=0.2961[/tex].
(c)
A 10 mL sample is withdrawn.
Compute the probability that the average number of particles per mL in the withdrawn sample is between 48 and 52 as follows:
[tex]P(48<\bar X<52)=P(\frac{48-50}{15.8114/\sqrt{10}}<\frac{\bar X-\mu}{\sigma/\sqrt{n}}<\frac{52-50}{15.8114/\sqrt{10}})[/tex]
[tex]=P(-0.40<Z<0.40)\\=P(Z<0.40)-P(Z<-0.40)\\=P(Z<0.40)-[1-P(Z<0.40)]\\=2P(Z<0.40)-1\\=(2\times 0.65542)-1\\=0.31084\\\approx 0.3108[/tex]
Thus, the value of [tex]P(48<\bar X<52)=0.3108[/tex].
(d)
Let the sample size be n.
[tex]P(48<\bar X<52)=P(\frac{48-50}{15.8114/\sqrt{n}}<\frac{\bar X-\mu}{\sigma/\sqrt{n}}<\frac{52-50}{15.8114/\sqrt{n}})[/tex]
[tex]0.95=P(-z<Z<z)\\0.95=P(Z<z)-P(Z<-z)\\0.95=P(Z<z)-[1-P(Z<z)]\\0.95=2P(Z<z)-1\\P(Z<z)=\frac{1.95}{2}\\\\P(Z<z)=0.975[/tex]
The value of z for this probability is,
z = 1.96
Compute the value of n as follows:
[tex]z=\frac{\bar X-\mu}{\sigma/\sqrt{n}}\\\\1.96=\frac{48-50}{15.8114/\sqrt{n}}\\\\n=[\frac{1.96\times 15.8114}{48-50}]^{2}\\\\n=240.1004\\\\n\approx 241[/tex]
Thus, the sample selected must be of size 240.
The Bureau of Labor Statistics1 in the US tells us that, in 2010, the unemployment rate for high school graduates with no college degree is 9.7 % while the unemployment rate for college graduates with a bachelor’s degree is only 5.2 %. Find the difference in proportions of those unemployed between these two groups and give the correct notation for the difference, with a minus sign. Since the data come from the census, you can assume that the values are from a population rather than a sample. Use the correct notation for population proportions and use subscripts on the proportions to identify the two groups. Assume high school graduates with no college degree are group 1 and college graduates with a bachelor's degree are group 2. 1Thompson, D., ‘‘What’s More Expensive than College?
Answer:
The difference is [tex]p= 0.045[/tex]
Step-by-step explanation:
From the question we are told that
The proportion unemployment rate for high graduated is [tex] p_1 = 0.097[/tex]
The proportion unemployment rate for college graduate is [tex] p_2 = 0.052[/tex]
Generally the difference in proportions of those unemployed between these two groups is mathematically represented as
[tex]p= p_1 - p_2[/tex]
=> [tex]p= 0.097- 0.052[/tex]
=> [tex]p= 0.045[/tex]
Solve the equation
3m=2(4+t) for t
I do not understand
Answer:
4/7
Step-by-step explanation:
there are 7 shapes in total, 4 of them are hexagons.
3. Use properties of equality to solve the equation for w. 2(w+3) = -2(w-21)
Answer:
w = 9
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
:)
Which table of ordered pairs represents a proportional relationship?
Answer:
C
Step-by-step explanation:
The points in C, when graphed, have a positive slope as well as going up or down by the same amount each time
-3-2=-5-2=-7
5-2=3-2=1
The revenue for a business, as a function of units produced, x, is shown below by R(x). C(x) represents the cost of producing x units. Calculate the profit function and then determine how many units must be produced for the business to break even.
Answer:
Step-by-step explanation:
We are not given the Revenue and the Cost function but we can assume the folloeing functions for the purpose of the question.
Let R(x) = 300x-2x²
C(x) = 5000+4x
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = 300-2x - (5000+4x)
Expand
P(x) = 300-2x-5000 - 4x
Rearrange:
P(x) = -2x+300-4x - 5000
P(x) = -6x- 4700
The profit function is P(x) = -6x-4700
For the company to break even, R(x) = C(x)
300-2x = 5000+4x
300-5000 = 4x+2x
6x = -4700
x = -4700/6
x = -783 units
Note that the functions are assumed. Use this concept to solve your real question
If the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.
Here, We can assume revenue and expenses.
Let R(x) = 300x - 2x²
C(x) = 5000 + 4x
How do you calculate revenue profit?It is the difference between the total revenue and the total expenses.
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = 300-2x - (5000+4x)
Expand
P(x) = 300-2x-5000 - 4x
P(x) = -2x + 300 - 4x - 5000
P(x) = -6x- 4700
The profit function is P(x) = -6x-4700
For the company to break even, R(x) = C(x)
300-2x = 5000+4x
300-5000 = 4x+2x
6x = -4700
x = -4700/6
x = -783 units
Therefore, we can calculate the profit function and break-even for the company of any value, if the profit function is P(x) = -6x-4700 then the units that must be produced to break even is 783 units.
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(3x²+5x)-(2x²-3x) simplify
Can someone please help me with these 3 questions?
1) Since the angles are congruent, set them up to equal each other, then solve for x: x + 10 = 50. Now solve
2) Since angles AEC and DEB are congruent, set them up also to equal each other, then solve. : 6x + 20 = 10x. Now solve for x
3) Since AEC and DEB are congruent, they have the exact same angle measurement. Because of this, you are able to set the two equations equal to each other, then solve for x. After you have the value of x, you can plug it into 5x + 12 and solve once again, resulting in the answer for the measurement of angle AEC.
In a geometric series
If a1=6 and r=5 find s9
Answer:
I have no idea how to solve that but can you teach me how !
The local school bought $1,464 worth of notebooks for it's $1,464 worth of notebooks for it's students. If the notebooks cost $1.22 each how many notebooks did the $1,464 worth of notebooks for it students. If the notebooks cost $1.22 each how many notebooks did the school by?
A. 1,220
B. 1,250
C. 1,500
D. 2,500
Answer:
a
Step-by-step explanation:
Answer:a
Step-by-step explanation:
You have 8 quarts of brown stock.
You need 3 cups to make one serving of braised short ribs.
How many servings can you make?
(don't include partial portions)
Answer:
you can make 10 servings
Step-by-step explanation:
mr.little earned $320 for working 2 eight hours shifts at the lumber yard .what is his hourly wage?
Answer:
Step-by-step explanation:
320$ divided by 16 (two 8 hr shifts) = 20 dollars an hour
what is the reciprocal of 5 3/7
Answer: 7/38
Step-by-step explanation:
So first you have to take the mixed number out of it mixed number form by multiplying 7 x 5 and then adding 3 giving you 38/7(you keep the denominator the same. Then you flip the fraction giving you 7/38.:)
Hope this helps!
Find the quotient in SIMPLEST form. 2/5 ÷ 5/8 =
A: 10/40
B: 1/4
C: 16/25
D: 4/5
Answer:
c. 16/25
Step-by-step explanation:
divide
The point slope form of a line that has a slope of 1/4 and passes through the point (3,0 ) is shown .
Y-0= 1/4 (x-3)
What is the equation in slope intercept form?
Answer:
Y=1/4x-3/4
Step-by-step explanation:
I got this answer right on my questions
In a study of the impact of smoking on birth weight, researchers analyze birth weights (in grams) for babies born to 189 women who gave birth in 1989 at a hospital in Massachusetts. In the group, 74 of the women were categorized as smokers and 115 as non-smokers. The difference in the two sample mean birth weights (non-smokers minus smokers) is 281.7 grams and the 95% confidence interval is (76.5, 486.9). Which gives the best interpretation of what we can conclude about the impact of smoking on birth weight
Answer:
Given:
Total women - 189
Smokers - 74
Non-smokers - 115
The difference in 2 samples mean birth weight = 281.7 grams
95% confident that the mean weight = between 76.5 grams to 486.9
solution:
The best interpretation would be -
95% confident that the babies of nonsmokers have a mean weight between 76.5 grams to 486.9 grams which is much more than the babies of women smokes by comparing smokers to nonsmokers from given data.
Julio and Kyle hike along the same trail. Kyle hikes the first 6 miles in 2 hours. Who hikes more quickly?
What is 321 divided by 49
Answer:
6.55
(6.55102040816)
Step-by-step explanation:
321 / 49 = 6.55102040816
can be rounded to 6.55 or 6.6
Answer:
6.55
Step-by-step explanation:
Maggie's brother is 4 years younger than three times her age. The sum of their ages is 16.
How old is Maggie?
Write an equation in Standard Form of the line passing through (5, -4) with a slope of -2/5.
Answer:
The answer is
[tex]y = - \frac{2}{5} x - 2 \\ [/tex]Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question the points is (5, -4) and slope - 2/5
The equation is
[tex]y + 4 = - \frac{2}{5} (x - 5) \\ y + 4 = - \frac{2}{5} x + 2 \\ y = - \frac{2}{5} x + 2 - 4[/tex]
We have the final answer as
[tex]y = - \frac{2}{5} x - 2 \\ [/tex]
Hope this helps you
