Steps to solve:
-3x - 9y = 18
~Add 3x to both sides
-9y = 18 + 3x
~Divide -9 to everything
y = -1/3x - 2
Best of Luck!
Factorise 4x^3 + 24x^2 Fully
Answer:
4x^2(x+6)
4x^3 is split into 4 and 3 x's
24x^2 is split into 4 and 6 and 2 x's
Cancel out what is the same so 4 and 2 x's and put it out the bracket : 4x^2(
Then put what is left over inside the bracket:
4x^2(x+6)
After factorization of the equation, the net result is 4x²(x + 6).
What is Factorization?An integer is factorized using the factorization equation. Factorization is the method of splitting a single object into two or smaller entities, or factors, whose sum equals the original estimate.
As per the provided data in the question,
4x³ consists of 4 and 3 x's
24x² consists of 4 and 6 and 2 x's.
Remove the bracket and remove anything identical, such as 4 and 2 x's: 4x²
Then put what is left over inside the bracket:
4x²(x + 6)
To know more about Factorization:
https://brainly.com/question/24182713
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g Z-Test for Population Means Calculate z-statistic of a population mean. Keith sampled 10 private universities in Colorado and recorded the tuition cost. Keith wants to test the hypothesis that the tuition of these 10 universities is more expensive than the national average tuition, which is $29,056 with a population standard deviation of $3,339. z equals fraction numerator x with bar on top minus mu over denominator begin display style fraction numerator sigma over denominator square root of n end fraction end style end fraction If the sample mean is $31,650, what is the z-score
Answer: 2.46
Step-by-step explanation:
Formula for x-score is given by :-
[tex]Z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]
, where [tex]\overline{x}[/tex] = Sample mean , [tex]\mu[/tex]= population mean, [tex]\sigma[/tex] = population standard deviation, n= sample size.
As per given , n=10
[tex]\mu[/tex]= $29,056
[tex]\sigma[/tex] = $3,339
[tex]\overline{x}[/tex] = $31,650
Then,
[tex]z=\dfrac{ 31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766017}}\\\\=\dfrac{2594}{1055.88451073}=2.45670807142\approx 2.46[/tex]
Hence, the z-score = 2.46
Y varies directly as x. If x=7 then y = 56. Find ybwhen x=3
When something varies directly as something else, their ratio of change always stays the same.
56 / 7 = 8
Therefore,
8 * 3 = 24
If x = 3 then y = 24
Help ASAP I'm bad at solving this I will give out 20 points!
Answer:
(0,3/2), (0,2),(6,0),(9/4,0)
I hope it helpss..
The shortest known adult women is about 24 inches tall and tallest known adult woman is about 92 inches tall. write an absolute value equation that represents the minimum and maximum Heights. Use x to represent the heights.
Answer:
jndkjebfjkbwejhfdkfkdsjjdsf
Step-by-step explanation:
fjdshfshdgfjahnd
what is a cumulative gragh
Answer:
Cumulative frequency is the running total of the frequencies. On a graph, it can be represented by a cumulative frequency polygon, where straight lines join up the points, or a cumulative frequency curve.
The function is expressed by a formula y=0.1x+5. Find the value of the function if the variable is equal to 10; 50; 120.
Answer:
f(x) = 10: [tex]\large\boxed{6}[/tex]
f(x) = 50: [tex]\large\boxed{10}[/tex]
f(x) = 120: [tex]\large\boxed{17}[/tex]
Step-by-step explanation:
Write out the whole function using given information
f(x) = [10, 50, or 120]
Domain/y = 0.1x + 5
Substitute the possible values for x into the domain equation and solve
f(x) = 10: 0.1(10) + 5 = 1 + 5 = 6
f(x) = 50: 0.1(50) + 5 = 5 + 5 = 10
f(x) = 120: 0.1(120) + 5 = 12 + 5 = 17
Final answers:
f(x) = 10: [tex]\large\boxed{6}[/tex]
f(x) = 50: [tex]\large\boxed{10}[/tex]
f(x) = 120: [tex]\large\boxed{17}[/tex]
Hope this helps :)
solve: 3(2x+1)-2(x-5)-5(5-2x)=16 value of x?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 2}}}}}[/tex]
Step-by-step explanation:
[tex] \displaystyle{ \star{ \: \: \underline{ \sf{given \: equation}}}}[/tex] :
[tex] \sf{3(2x + 1) - 2(x - 5) - 5(5 - 2x) = 16}[/tex]
Distribute 3 through the parentheses
[tex] \mapsto{\sf{6x + 3- 2(x - 5)- 5(5 -2x) = 16}}[/tex]
Distribute 2 through the parentheses
[tex] \mapsto{ \sf{6x + 3 - 2x + 10- 5(5 - 2x) = 16}}[/tex]
Distribute 5 through the parentheses
[tex] \mapsto{ \sf{6x + 3 - 2x + 10 - 25 + 10x = 16}}[/tex]
Combine ike terms and simplify it
Like terms are those which have the same base
[tex] \mapsto{ \sf{6x - 2x + 10x + 3 + 10 - 25 = 16}}[/tex]
[tex] \mapsto{ \sf{4x + 10x + 3 + 10 - 25 = 16}}[/tex]
[tex] \mapsto{ \sf{14x + 3 + 10 - 25 = 16}}[/tex]
Add the numbers : 3 and 5
[tex] \mapsto{ \sf{14x + 13 - 25 = 16}}[/tex]
The negative and positive integers are always subtracted but posses the sign of the bigger integer.
[tex] \mapsto{ \sf{14x - 12 = 16}}[/tex]
Move 17 to right hand side and change it's sign
[tex] \mapsto{ \sf{14x = 16 + 12}}[/tex]
Add the numbers: 16 and 17
[tex] \mapsto{ \sf{14x = 28}}[/tex]
Divide both sides by 14
[tex] \mapsto{ \sf{ \frac{14x}{14} = \frac{28}{14}}} [/tex]
Calculate
[tex] \mapsto{ \boxed{ \sf{x = 2}}}[/tex]
The value of x is 2
Hope I helped!
Best regards!
~TheAnimeGirl
which of the following pairs consists of equivalent fractions 9/24 and 21/56?
Answer:
3/8
Step-by-step explanation:
if u simplify you get half then add them the bigger dinominator is the bottom so only add the tops
When Anita first planted the cherry tree in her yard, it was 20 feet tall. Now it
is 95% taller. How tall is the tree now?
Answer:
the cherry tree is now 39 feet tall.
Step-by-step explanation:
95% of 20 is 19, so 20+19=39.
Given g(x) = -x – 3, find g(1).
Find mDCAˆ. the question says that the angle is 3x+19 the smaller arc is 91 and the bigger is 17x-3 it is one of those problems were the difference in the arcs divided by two equals the angle
Answer: Option C.
Step-by-step explanation:
Let as consider the below figure is attached below.
We know that angle between tangent and secant is half of difference of major and minor arcs.
[tex]\angle ABC=\dfrac{arc(AD)-arc(AC)}{2}[/tex]
[tex]3x+19=\dfrac{17x-3-91}{2}[/tex]
Multiply both sides by 2.
[tex]6x+38=17x-94[/tex]
[tex]38+94=17x-6x[/tex]
[tex]132=11x[/tex]
Divide both sides by 11.
[tex]12=x[/tex]
The value of x is 12.
[tex]arc(AD)=17(12)-3[/tex]
[tex]arc(AD)=204-3[/tex]
[tex]arc(AD)=201^{\circ}[/tex]
Now,
[tex]arc(DCA)=360^\circ-arc(AD)[/tex]
[tex]arc(DCA)=360^\circ-201^{\circ}[/tex]
[tex]m\widehat {DCA}=159^{\circ}[/tex]
Therefore, the correct option is C .
Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative hypotheses, test statistic, P-value, critical value(s), and state the final conclusion that addresses the original claim. A simple random sample of 25 filtered 100mm cigarettes is obtained, and the tar content of each cigarette is measure. The sample has a mean of 19.4 mg and a standard deviation of 3.52 mg. Use a 0.05 significance level to test the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg, which is the mean for unfiltered king size cigarettes. What do the results suggest about the effectiveness of the filters? What are the hypotheses? Identify the test statistic. Identify the P-value Identify the critical value(s). State the final conclusion that addresses the original claim. A. Fail to reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. B. Reject H0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. C. Fail to reject H0. There is sufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. D. Reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg. What do the results suggest, if anything, about the effectiveness of the filters? A. The results are inconclusive because the sample size is less than 30. B. The results suggest that the filtered cigarettes have the same tar content as unfiltered king size cigarettes. C. The results do not suggest that the filters are effective. D. The results suggest that the filters are effective. E. The results suggest that the filters increase the tar content.
Answer:
1) Option A: Fail to reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.
2)Option D: The results suggest that the filters are effective
Step-by-step explanation:
We are given;
Sample size; n = 25
Sample mean; x' = 19.4 mg
Standard deviation; s = 3.52 mg
Population mean; μ = 21.1 mg
Let's state the hypotheses;
Null Hypothesis;H0: μ = 21.1 mg
Alternative Hypothesis; Ha; μ < 21.1 mg
Now, since sample size is less than 30,we will use a t-test.
Thus;
t = (x' – μ)/[s/√(n)]
t = (19.4 - 21.1)/(3.52/√25)
t = -2.415
Using an online p-value from t-score calculator as attached with the parameters t = -2.415, DF = 25 - 1 = 24, significance level = 0.05, one tailed, we have;
The p-value is 0.011885.
The calculated p-value is less than the significance level of 0.05. Thus, we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.
How do you write y − 4 = 2(x − 6) in slope-intercept form?
Sorry answered for more points for more questions I'm so sorry.
How much larger is 5 than -5 ? ( if using a number line what is the difference between -5 and 5)
Answer:
-10 if moving to left 10 if moving to the right
Step-by-step explanation:
The difference is 10 because if you go from 0 to 5 and then go to -5 you're skipping 10 units to the left go there if you're going right it's positive 10 if you're going left it's negative -10
The difference is 10.
5 - (-5) = 10.
you are subtracting a negative number.
That basically means adding.
a trick to that is using the two subtraction symbols to make a plus.
I added an image in case that didn’t make sense!
5 ( 3 squared x) + 9 ( 3 squared x)
Answer:
42x^2
Step-by-step explanation:
[tex]5(3x^{2} )+9(3x^2)\\\\=(5+9)(3x^2)\\\\=14(3x^2)\\\\=42x^2[/tex]
You will add numbers that are relevant to your life and then find the square root of that sum in simplified radical form. Find the sums of: A. All of the ages of the people in your household. B. All the digits in your telephone number, including the area code. C. All of the letters in your first name if you let a
Step-by-step explanation:
A. Dad = 50, Mum = 47, Sister = 22
me = 19
Total Sum = 50 + 47 + 22 + 19
= 136
√136 = 11.662.
B. + 1435 797 202 = 40
√40 = 6.33
C. BRYAN = 2 + 18 + 25 + 14 = 59
√59 = 7.68.
there are 54 new houses built in a neighborhood. Last month, 1/3 of them were sold. This month, 5/6 of the remaining houses were sold. How many houses are left to be sold?
Answer:
Total houses = 54
House sold last month = 1/3 * 54 = 18
Remaining houses = 54-18 = 36
Houses sold this month = 5/6* 36 = 30 houses
House left to be sold = 36 - 30 = 6 houses
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Answer:
Slope: 6/6. Slope in simplest form: 1
I don't understand this
Answer:
tytytytyt
Step-by-step explanation:
Answer:
i don't either
Step-by-step explanation:
The table shows the number of pounds a dog lost or gained over the past month. A 2-column table with 4 rows. Column 1 is labeled Week with entries 1, 2, 3, 4. Column 2 is labeled pounds with entries 2 and one-half, negative 1, 1, negative 3 and one-half In which week did the dog have the greatest weight change? Week 1 Week 2 Week 3 Week 4
Answer:
column 2
Step-by-step explanation:
Answer:
week 4 so D
Step-by-step explanation:
dihsjsksiusjsueuuehehebdbbsjsshshshhs
is this a real question?
How do you change a percent to a decimal? What is 6 1/2% as a decimal?
0.065
To convert a percent to a decimal, you move the decimal point to the left two times
Answer: 0.065
Step-by-step explanation:
When we divide 50 by 100 we get 0.5 (a decimal number). So, to convert from percent to decimal: divide by 100, and remove the percent symbol. So for 6.5% divided by 100=0.065
what is 75^58*^%23(718&^01232) *68726 function sof the equlatric erguim of the property
Answer:
2
Step-by-step explanation:
Solve | | 2x + 5 | – 3 | = 8
4x +14+ 4x=38 solve equation
Answer:
3
Step-by-step explanation:
4x +14 +4x =38
8x =38 - 14
8x=24
x=24 :8
x=3
An online music company offers 15 downloads for $19.75 and 40 downloads for $43.50. Each price includes the same one-time registration fee. What is the cost of each download and the registration fee?what could be the equation
Answer:
s
Step-by-step explanation:
.50 x 32? Please help. i will mark brainliest!
Chico is saving for new shoes that cost $87. He already has
$9 saved, and he will save the same amount each week.
Chico wants to buy the shoes in 6 weeks.
What is the least amount Chico can save each week and still
buy the new shoes in 6 weeks?
Answer:
he has to save $13 every week for six weeks which equals 78, and 78+9 is 87
Find the volume of a cylinder with height 25cm and radius 5cm
Answer:
1963.5
-------------
Answer:
1,932 cm approxmately.
Step-by-step explanation:
Your formula is V= π5²h
V= 3.14 x 5² x 25
V= ≈1932 cm