Answer:
-3x^2 + 11x -3
Step-by-step explanation:
1st. Rewrite.
2nd. Remove the parentheses.
3rd. Collect like terms.
4th. Calculate.
The area of a rectangular rug is 4(2x - 5). Which other expression represents the same area?
Answer:
8x-20
Step-by-step explanation:
Use the distributive property. Multiply 4 by 2x. Multiply 4 by -5.
In ΔMNO, the measure of ∠O=90°, the measure of ∠N=38°, and OM = 87 feet. Find the length of NO to the nearest tenth of a foot.
Answer:
111.4
Step-by-step explanation:
trust
The total service time of a multistep manufacturing operation has a gamma distribution with mean 18 minutes and standard deviation 6 minutes.
(a) Determine the parameters alpha and lambda of the distribution. (solving these two parameters using the mean and the standard deviation)
(b) Assume that each step has the same exponential distribution for service time. What distribution for each step and how many steps produce this gamma distribution of total service time?
Answer:
The answer is "[tex]\bold{r=9, \lambda=\frac{1}{2}\ and \ \ \text{exponential, 9 steps}}[/tex]"
Step-by-step explanation:
In point a:
We are aware of the random gamma variable X:
[tex]\to \mathbb{E} =\frac{r}{\lambda}\\\\\to Std(X) =\frac{\sqrt{r}}{\lambda}\\\\[/tex]
It is given:
[tex]\to \mathbb{E} = 18 \\\\\to std(X)=6[/tex]
[tex]\to 18=\frac{r}{\lambda}\\\\ \to 6=\frac{\sqrt{r}}{\lambda}\\\\[/tex]
Substituting the value:
[tex]\to \frac{\sqrt{r}}{6}=\frac{r}{18}\\\\\to r=9\\\\\to \lambda=\frac{1}{2}\\\\[/tex]
In point b:
When building the Erlang/Gammas distribution, these could reasonably be assumed to become an exponential distribution only with \lambda = 1/2 parameter with one step but to be r = 9 for one step.
Basically everything is in the picture PLEASE answer the 3 questions AND I WILL GIVE YOU THE BRAINLIEST PLS HELP ASAP
Answer:
108 ft²
Step-by-step explanation:
Square: 9^2 = 81
Triangle: 1/2(9)(6) = 27
Total = 81 + 27 = 108
It's 108 ft I'm p sure
In which number is the value of the digit in the hundreds place one-tenth the value of the digit in the thousands place?
A. 384,403
B. 655,286
C. 887,510
D. 909,273
Answer:
A.
Step-by-step explanation:
I'm pretty sure that's right.
Amir subtracted a quantity from the polynomial 3x^2+8x−16 and produced the expression x^2−4. What quantity did Amir subtract? Explain how you got your answer.
Answer:
4x^2 + 8x - 20
Step-by-step explanation:
Amir subtracted a quantity
Let quantity = y
... from the polynomial 3x^2+8x−16
y - (3x^2+8x−16)
and produced the expression x^2−4
= x^2−4
What quantity did Amir subtract?
y - (3x^2+8x−16) = x^2−4
Solving for y;
y = x^2−4 + (3x^2+8x−16)
y = x^2−4 + 3x^2+8x−16
y = 4x^2 + 8x - 20
Quantity subtracted by Amit is [tex]\boldsymbol{2x^2+8x-12}[/tex]
Algebraic ExpressionIn arithmetic, an expression is a sentence that includes at least two integers (known or unknown) as well as at least [tex]1[/tex] operation.
A quantity is subtracted from the polynomial [tex]3x^2+8x-16[/tex] and the result obtain is the expression [tex]x^2-4[/tex]
Quantity subtracted [tex]=(3x^2+8x-16)-(x^2-4)[/tex]
[tex]=3x^2+8x-16-x^2+4\\=2x^2+8x-12[/tex]
So, quantity subtracted is [tex]\boldsymbol{2x^2+8x-12}[/tex]
Find out more information about expression here:
https://brainly.com/question/13947055?referrer=searchResults
A manufacturer of a new nicotine nasal spray claims that their product has a 30% success rate for smoking cessation. In a clinical study involving 150 smokers, 93 of them quit smoking. Test the hypothesis that the success rate claimed by the manufacturer is valid at the 5% level of significance.
answer:
we reject null and conclude that this manufacturers claim is false
Step-by-step explanation:
p = 30% = 0.30
p^ = 93/150 = 0.62
we state the hypothesis
H0: p = 0.30
h1: p not equal to 0.30
we find the z test stattistics
[tex]z=\frac{p^--p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
[tex]z=\frac{0.62-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }[/tex]
[tex]z=\frac{0.32}{\sqrt{\frac{0.30*0.70}{150} } }[/tex]
[tex]z=\frac{0.32}{0.03741}[/tex]
z = 8.5538
at alpha = 0.05
z-critical = Z₀.₀₅/₂ = Z₀.₀₂₅
= 1.96
we compare z critical with the test statistic
z statistic > z critical so we have to reject H₀ and conclude that the manufacturers claim is not valid at 0.05 level of significance.
1. What is asked in the problem?
2.What are the given facts?
3.What is the operation to be used?
4.what is the mathematical sentence?
5.what is the solution?
Answer:
See Explanation
Step-by-step explanation:
Given
See attachment
Solving (1): What is asked
The requirement of the question is to determine the difference between the amount of sugar used between yesterday and today
Solving (2): The given facts
[tex]Yesterday = \frac{9}{10}kg[/tex]
[tex]Today = \frac{3}{5}kg[/tex]
Solving (3): Operation to be used
We use subtraction operation
Solving (4): The mathematical sentence
[tex]D = Yesterday - Today[/tex]
[tex]D = \frac{9}{10}kg - \frac{3}{5}kg[/tex]
D represents the difference
Solving (5): The solution
[tex]D = \frac{9}{10}kg - \frac{3}{5}kg[/tex]
Take LCM
[tex]D = \frac{9 - 6}{10}kg[/tex]
[tex]D = \frac{3}{10}kg[/tex]
mr sigmon has 24 students in his classroom 1/4 of them are girls
Answer:
6 of his class are girls
Step-by-step explanation:
24/4=6
Write the equation of the line that passes through the points (4,8) and (1,-8). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line. Pleaseee help me:/
Answer: y = (16/3)*x - 13.33
Step-by-step explanation:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Then for our particular case, we know that the line passes through the points (4, 8) and (1, -8)
Then the slope for this line will be:
a = (8 - (-8))/(4 - 1) = 16/3
Then our line is something like:
y = (16/3)*x + b
We need to find the value of the y-intercept b.
We know that this line passes through the points (4, 8) and (1, -8)
Then we can just replace the values of one of these points in our linear equation, for example, if we se the first one we get:
x = 4 and y = 8
replacing that in our equation we get:
8 = (16/3)*4 + b
8 - (16/3)*4 = b
-13.33 = b
Then the equation for our line is:
y = (16/3)*x - 13.33
34,977 ×2,344 is even are odd number
Answer:
81986088
its even
Step-by-step explanation:
just look it up on your search bar? Im confused on what your asking. Sorry if I answered wrong
Fill in the blank so that the ordered pair is a solution of y = 6x +7: 4,25)
a) 13
b) 1
c) 18
d) 3
Answer:
it is either A OR B
Step-by-step explanation:
Each Saturday morning Andy works 4 hours and earns $34 .At that rate,what does Andy earn for each hour he works estimate
Two angles are vertical angles. One measures 39.2 degrees. What is
the measure of the other angle?
Answer:
39.2°
Step-by-step explanation:
Vertical angles are always congruent.
Answer:
The angle is 140.8
Step-by-step explanation:
A straight angle is equal to 180°
So 180° minus 39.2° equals the answer
In △JKL, the measure of ZL=90°, KL = 11 feet, and JK = 32 feet. Find the measure of
ZJ to the nearest tenth of a degree.
Answer:
x = 20.1 degrees
Step-by-step explanation:
Use the inverse sine function to calculate the angle measure. While the sine function uses the opposite and hypotenuse's angle measures, the inverse sine uses the side lengths of the opposite and hypotenuse.
Using something like desmos, plug in arcsin(11/32) and make sure you have selected degrees instead of radians in the setting to get the correct output.
Note that Inverse sine , cosine, and tangent can be written like arcsin, arccos, arctan or sin^-1, cos^-1, tan^-1.
x= 20.1
The speed of light is about 186,282 miles per second.
What is the expanded form of 186,282?
HELPP
Answer: 100,000 + 80,000 + 6,000 + 200 + 80 + 2
Step-by-step explanation: Expanded form is writing out the number like I did tbh..hard to explain you just gonna practice but here ya go :)) !
Answer:
100,000+80,000+6,000+200+80+2
Step-by-step explanation:
You see it
If you know the place values,Then you can do expanded form.
the measures of the angles of a triangle are shown below. solve for x
Answer:
x = 7
Step-by-step explanation:
As in right triangle, the other two angles sum up equal to 90 degree, so 6x + 15 + 33 = 90, then solve for x, 6x = 90 - 15 - 33 = 42, then x = 7.
Helllpppppp Meeeeee..
Answer:
105
Step-by-step explanation:
Answer:105
Step-by-step explanation:
(NO LINKS) QUESTION BELOW
Answer:
B
Step-by-step explanation:
Subtract the exponents. 8-2=6 Therfore B. Sorry im in a rush.
If this was helpful, please give brainliest! It would help a lot!
help on this due soon, will give brainliest
If 26 feet 10 inches is cut from a wire that is 44 feet 8 inches long what is the length of wire that is left ?
Answer:
17 feet 10 inches
Step-by-step explanation:
26 feet 10 inches is cut from a wire that is 44 feet 8 inches
Therefore the length of wire that is left can be calculated as follows
44 feet 8 inches - 26 feet 10 inches
= 17 feet 10 inches
Please send help. I really need this asap
Answer:
Part a) The area of the figure is [tex]\frac{9}{2} (4+\pi ) cm^{2}[/tex]
Part b) The perimeter of the figure is [tex]3(2+2\sqrt{2} +\pi )cm[/tex]
{362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4)
{362- {6x3+(48/2) x2]}+3(9+4)
{362- {6x3+24 x2]}+3(9+4)
{362- 66+3(9+4)
{362- 66+3(9+4)
{296+3(13)}
(296+39)
335
hope this help you
have a good day
Answer:
290Step-by-step explanation:
Solving with one operation at each step:
{362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4) ={362 – [63 + 24 x 2]} + 3(9 +4) =[362 – (63 + 48)] + 3(9 +4) =(362 – 111) + 3(9 +4) = 251 + 3(13) = 251 + 39 =290How many license plate numbers consisting of three letters followed by
two numbers are possible when repetition is not allowed?
Need help ASAP:Select the independent variable in the situation below.
Mia gets 1 test question correct for every 3 practice problems she completes,
A Mia
B) test question
practice problem
D
correct
Answer:
D
Step-by-step explanation:
Question 2 of 10
What is the slope-intercept equation of the line below?
O A. y = -2x-3
O B. y = -2x + 3
O C. y = 2x-3
O D. y = 2x + 3
Answer:
y=2x-3
Step-by-step explanation:
First we find the y-intercept of this graph whic in this case is -3. Then we plot two pints on the graph and caculate the rise over run which is 2/1=2. Finally, we get the equation- y=2x-3.
What are the intercept(s) of ƒ(x) = x2?
There are no intercepts.
(0, 0)
(0, 0), (1, 1)
(1, 0), (0, 1), (0, 0)
Task #2:
Alecia has 4 times the amount of
money that her sister has. Together,
they have $40.00. How much money
does Alecia have? How much money
does Alecia's sister have?
Answer:
32-Alecia and 8-sister
Step-by-step explanation:
4x+x=40
5x=40
x=8
Eddie Clauer sells a wide variety of outdoor equipment and clothing. The company sells both through mail order and via the internet. Random samples of sales receipts were studied for mail-order sales and internet sales, with the total purchase being recorded for each sale. A random sample of 8 sales receipts for mail-order sales results in a mean sale amount of $69.30 with a standard deviation of $26.25. A random sample of 17 sales receipts for internet sales results in a mean sale amount of $75.90 with a standard deviation of $28.25. Using this data, find the 90% confidence interval for the true mean difference between the mean amount of mail-order purchases and the mean amount of internet purchases. Assume that the population variances are not equal and that the two populations are normally distributed.
1. Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
2. Find the Staandard error of the sampling distrbution to be used in constructing the confidence interval
Answer:
1. The critical value to be used for constructing the confidence interval is 1.415
2. The standard error of the sampling distribution to be used in constructing the confidence interval, is approximately 6.260
Step-by-step explanation:
The number of mail-order receipts, n₁ = 8 sales receipts
The mean amount of sale, [tex]\bar x_1[/tex] = $69.30
The standard deviation of the sample, σ₁ = $26.25
The number of internet sales receipts, n₂ = 17 sales receipts
The mean amount of sale, [tex]\bar x_2[/tex] = $75.90
The standard deviation of the sample, σ₂ = $28.25
1. Where the population variance are not equal, we have;
[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) - t_{c}\sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}< \mu _{1}-\mu _{2}< \left (\bar{x}_1-\bar{x}_{2} \right ) + t_{c}\sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}[/tex]
Where;
[tex]t_c[/tex] = The critical value for constructing the confidence interval
[tex]\sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}[/tex] = [tex]S.E_{\bar{x}_1-\bar{x}_{2}} =[/tex] The standard error for constructing the confidence interval
The degrees of freedom, df = n₁ - 1 = 8 - 1 = 7
The t-value at 90% confidence level, and degrees of freedom of 7, [tex]t_{90\%, 7}[/tex], from the tables is given as follows;
[tex]t_c[/tex] = [tex]t_{90\%, \, 7}[/tex] = 1.415
The critical value for constructing the confidence interval = [tex]t_c[/tex] = 1.415
2. The standard error of the sampling distribution to be used in constructing the confidence interval, [tex]S.E._{\bar{x}_1-\bar{x}_{2}}[/tex], is given as follows
[tex]S.E_{\bar{x}_1-\bar{x}_{2}} = \sqrt{\dfrac{\sigma _{1}^{2}}{n_{1}}-\dfrac{\sigma _{2}^{2}}{n_{2}}}[/tex]
[tex]S.E._{\bar{x}_1-\bar{x}_{2}} = \sqrt{\dfrac{26.25^{2}}{8}-\dfrac{28.25^{2}}{17}} \approx 6.260[/tex]
[tex]S.E._{\bar{x}_1-\bar{x}_{2}}[/tex] ≈ 6.260
The standard error of the sampling distribution to be used in constructing the confidence interval, [tex]S.E._{\bar{x}_1-\bar{x}_{2}}[/tex] ≈ 6.260
HELP PLEASE
(Look at the picture)
A. 100
B. 130
C. 160
D. 200
E. 260
Answer: I think it B (130)
Step-by-step explanation: .........