Answer:
Step-by-step explanation:
Perimeter of the rectangular flour = 2(Length+Width)
P = 2(L+W)... 1
If if the length is 2 less than three times the width, then L = 3W - 2.... 2
Substitute equation 2 into 1;
P =2(3W-2+W)
68 = 2(4W-2)
68 = 8W-4
8W = 68+4
8W = 72
W = 72/8
W = 9 feet
Since L = 3W-2
L = 3(9)-2
L = 27-2
L = 25
The length is 25ft and the width is 9ft
You run 1/12 miles in 1/2 minutes. How many miles per hour do you run?
Answer:
10 miles per hour
Step-by-step explanation:
1/12 miles
------------------
1/2 minute
1/12 ÷1/2
Copy dot flip
1/12 * 2/1
1/6 miles per minute
We need to convert minutes to hours
1 hours = 60 minutes
1/6 miles / minutes * 60 minutes/ hour
= 60/6 miles per hour
10 miles / hour
The amounts of vitamin C (in milligrams) for 100g (3.57 ounces) of various randomly selected fruits and vegetables are listed. Is there sufficient evidence to conclude that the standard deviation differs from 12 mg? Use alpha = 0.10. Use a graphing calculator
Answer:
The values are missing in the question. They are : 16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2
Step-by-step explanation:
16.3,12.8,13,32.2,28.1,34.4,46.4,53,15.4,18.2
We calculate sample mean and std deviation from given data.
Sample Mean, [tex]$ {\overset{-}X} =\frac{\Sigma (X)}{n} $[/tex] =269.8/10=26.98
Sample Variance, [tex]$s^2= \frac{\Sigma(X-{\overset{-}X})^2}{(n-1)}$[/tex] =1859.496/9=206.610667
Sample std dev,s=[tex]$\sqrt{s^2}$[/tex]=√206.610667≈14.373958
We want to test two tailed hypothesis:
[tex]$H_0$[/tex] : σ=12
[tex]$H_2$[/tex] : σ≠12
Given: s=14.373958⇒ [tex]$s^2$[/tex] =206.610667,n=10
Significance level, a=0.1 Degrees of freedom, df=n-1=9
Since this is two tailed test, we need area of α=0.1 on either side of critical value. This means area of 0.05 on right of positive critical value.
Critical values are given by [tex]$ X_{1-\alpha/2}^2 =X_{0.95}^2 \text{ and}\ X_{1-\alpha/2}^2 =X_{0.95}^2 $[/tex] with 9 degrees of freedom.
We can use chi-square table or following excel commands:
CHISQ. INV(0.95,9)=3.32511284307
CHISQ. INV (0.05,9)=16.9189776046
Critical Values, [tex]$X_L^2$[/tex]=3.325 and [tex]$X_R^2$[/tex]=16.919
Since this is two tailed test, the decision rule or rejection criteria is:
Reject null hypothesis if test statistic is less than or equal to left critical value OR more than or equal to right critical value, i.e,
Reject [tex]$H_0$[/tex] if [tex]$x^2$[/tex]≤3.325 OR [tex]$x^2$[/tex]≥16.919
Test statistic is given by [tex]$X^2=\frac{(n-1)s^2}{\sigma^2}$[/tex] =((9)*206.610667)/144=12.913167
Test statistic, [tex]$x^2$[/tex]=12.913
since test statistic is between two critical values, we (do not reject [tex]$H_0$[/tex]) (i.e, we fail to reject [tex]$H_0$[/tex].
Conclusion: There is (not sufficient) evidence to conclude that standard deviation is not equal to 12 .
Alternatively, we can use p-value approach. The decision rule or rejection criteria is: reject null hypothesis if p-value is less than or equal to significance level (α), i.e, reject [tex]$H_0$[/tex] if p-value ≤0.1
P-value is twice the (smaller) tail area of test statistic because this is two tailed test. We can use excel function to find this. 2*M IN (CHISQ.DIST (12.913167,9, TRUE ) 1-CHISQ.DIST 12.913167,9, TRUE ) =0.333149809868
P-value =0.3331
since p-value is greater than significance level (α),we (do not reject [tex]$H_0$[/tex]) (i.e, we fail to reject [tex]$H_0$[/tex]).
Conclusion: There is (not sufficient) evidence to conclude that standard deviation is different from 12 .
10 POINTS : What is the solution? (the x-value)
-0.41x + 2.9 = 8.1x + 45.64
Answer:
x= - 4274/851 or -5.02
Step-by-step explanation:
Hi i understand that the answer to the missing coordinate is 0 but can somebody explain to me how to get there? When i try to do the problem I get 5 even though the correct answer seems to be 0. Please help me.
say you have (-4,-4) and (8,4)
which ones are the y2, y1, x2, and x1
40 points first ten digits of pi do not copy and paste if you do i can tell and I will report you
The answer is [ 3.1415926535 ]
pi or π is used to find the area and circumference of a circle. You can either solve it in terms of pi or solve with pi being 3.14.
Best of Luck!
Four sisters buy a total of 3 1/2 feet of ribbon . The sisters want to share the ribbon equally how many feet of ribbon will each sister receive? 3/8 ft , 1/4 ft,1/2 ft, 7/8 ft
Answer:
each sister receives (7/8) ft of ribbon
Step-by-step explanation:
Let's start by writing the total amount of ribbon in fraction form:
3 1/2 = 3 + (1/2) = (7/2)
Now, we need to perform the division: (7/2) divided by 4
in order to find how much ribbon each sister gets. We convert the division of fractions into a product to make the operation simpler. This is done by using the reciprocal of the number that divides (in our case the reciprocal of "4" which is: (1/4):
(7/2) divided 4 = (7/2) x (1/4)
and we multiply the fractions obtaining:
(7/8)
So, each sister receives (7/8) ft of ribbon
The ground temperature at Brigham Airport is 17 °C. The temperature decreases by 4.9 °C for every increase of 1 kilometer above the ground. What is the
temperature outside a plane flying at an altitude of 5 kilometers?
Answer:
should be -7.5
Step-by-step explanation:
4.9×5=24.5
17-24.5=-7.5
racional o irracional 1/9
Answer:
rational or racional
Step-by-step explanation:
Describe the region enclosed by the circle x^2 +y^2 = 11x in polar coordinates.
Answer:
the region of the circle in polar coordinate can be expressed as:
[tex]\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}[/tex]
Step-by-step explanation:
Given that:
[tex]x^2 +y^2 = 11x[/tex]
This implies that :
[tex](x-5.5)^2 + y^2 = 5.5^2[/tex]
center (5.5, 0) and radius = 5.5
The relation between the cartesian coordinates (x,y) and the polar coordinates (r, θ) is as follows:
x = rcosθ
y = rsinθ
Thus, [tex]x^2 + y^2 = r^2[/tex]
[tex]x^2 + y^2 = 11x[/tex]
[tex](rcos \theta)^2 + (r sin \theta)^2 = 11(rcos \theta)[/tex]
[tex]r^2 = 11r cos \theta[/tex]
Thus, the angle θ runs between [tex]- \dfrac{\pi}{2}[/tex] to [tex]\dfrac{\pi}{2}[/tex]
Therefore, the region of the circle in polar coordinate can be expressed as:
[tex]\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}[/tex]
The required region is,
[tex]x=\frac{11}{2}+\frac{11}{2}cos\theta , 0\leq \theta\leq2\pi \\y=\frac{11}{2}sin\theta ,0\leq r \leq \frac{11}{2}[/tex]
Given circle is,
[tex]x^2 +y^2 = 11x[/tex]
Computation:
Solving the given circle,
[tex]x^2-11x+y^2=0\\x^2-2(\frac{11x}{2})+y^2=0[/tex]
Adding [tex]\frac{11}{2}[/tex] both sides we get,
[tex]x^2-2(\frac{11x}{2})+\frac{121}{4}+y^2=\frac{121}{4}\\(x-\frac{11}{2})^2+y^2=(\frac{11}{2})^2[/tex]
It represents a circle having the radius [tex]\frac{11}{2}[/tex] and centred at [tex](\frac{11}{2},0)[/tex]
So, in polar coordinate,
[tex]x=\frac{11}{2}+\frac{11}{2}cos\theta , 0\leq \theta\leq2\pi \\y=\frac{11}{2}sin\theta ,0\leq r \leq \frac{11}{2}[/tex]
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Determine the unit rate then determine which is a better buy.
Option A: A 4 pack of 3.2-ounce servings of applesauce for $2.50 or Option B: 24 ounces of applesauce for $3.69
Answer:
Option B
Step-by-step explanation:
For option A:
4 pack of 3.2-ounce servings of applesauce cost $2.50. This implies that 4 × 3.2 ounce = 12.8 ounce servings of applesauce cost $2.50. Hence:
The unit rate = $2.50 / 12.8 ounce = $0.1953 per ounce
For option B:
24-ounce servings of applesauce cost $3.69. Hence:
The unit rate = $3.69 / 24 ounce = $0.15375 per ounce
From the unit rates of option A and option B, option B has a lesser unit rate, hence option B is a better buy.
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
calculate the annswer when the largest prime number that is a factor of 35 is multiplied by the smallest prime number that is a factor of 15
Answer: 155
Step-by-step explanation:
Order the fractions from least to greatest. 2/3 ,4/9,5/6,7/12
Answer:
4/9 , 7/12 , 2/3 , 5/6
Step-by-step explanation:
2/3 × 12/12 = 24/36
4/9× 4/4= 16/ 36
5/6 × 6/6 = 30/36
7/12× 3/3 = 21/ 36
In which quadrant do each of the points lie?
A. (5,-2) B. (-1, -6)
1. 1 AND 2
2. 2 And 3
3.3 and 4
4. 3 and 1
Look at this equation. 2t = 10 Solve for t. Which of the following can you use to make sure your answer is correct? Question 2 options: Substitute 2 for t in the equation t = 5. Substitute 5 for t in the equation t = 5. Substitute 5 for t in the equation 2t = 10. Substitute 2 for t in the equation 2t = 10.
Answer:
Substitute 5 for t in the equation 2t = 10.
Step-by-step explanation:
2t = 10
t = 10/2
t = 5
Substitute 5 for t in the equation 2t = 10.
The solution for the equation 2t = 10 is t = 5.
This can be made sure by "Substitute 5 for t in the equation 2t = 10".
Given an equation:
2t = 10
The equation has to be solved and find the value of t.
Divide both sides of the equation by 2.
t = 10/2
= 5
Now, the value of t = 5, which is the solution of the equation 2t = 10.
So, in order to check the correctness of the solution, substitute the solution for the value of t into the original equation, 2t = 10.
Hence the solution is t = 5, and the option to check it is c.
Learn more about Equations here :
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Evaluate 27 x 1/3 to the third power.
Answer:
If i'm not mistaken its 1
Step-by-step explanation:
Joe drops a pebble into the sea. The pebble drops 2 inches every second. How many inches below sea level does it drop after 6 seconds?
Answer:
12 inches
Step-by-step explanation:
The coordinates of three of the vertices of parallelogram ABCD are A(2, 0), B(4, 3), C(3, 1). How many possibilities are there for the position of the fourth vertex? What are coordinates of the fourth vertex?
Answer:
probability is one for the position of the fourth vertex
it's co ordinates will be (2,2)
Point G is on line segment FH. Given FH = 5x + 2, GH = 5x – 9, and
FG = x + 5, determine the numerical length of FG.
Answer:
Step-by-step explanation:
11
Prove that Associative property does not hold true for 8 / 9 – ( 9 / 10 – 2 / 5 )
A landscape architect wants to plant a circle of flowers around a triangular garden. She has sketched the triangle on a coordinate grid with vertices at A (0, 0), B (8, 12), and C (18, 0). Explain how the architect can find the center of the circle that will circumscribe triangle ABC. Then find the radius of the circumscribed circle.
Answer:
The center of the circle is the point (6,3)
Kirk's goal was to save $300 for a trip. In the first week, Kirk saved $16 from his allowance and $54 from his job. He spent $5 for lunch one day and another $2 on the bus. The second week, Kirk saved $62 and another $41 but spent $2 for the bus and $4 for lunch. How much money did Kirk save after 2 weeks? Choose the correct answer below and fill in the answer box to complete your choice.
Answer:
160 dollars.
Step-by-step explanation:
16+54= 70
5+2=7
70-7=63
62+41=103
2+4=6
103-6=97
97+63=160
Hope this helps! ^^
Answer:
║Ф║Hello Person!║Ф║Your answer should be:
460300+16+54-5-2+62+41-2-4= 460
Step-by-step explanation:
Δ I hope this helped you! Δ
(I would appreciate a brainliest!)
║∅║Thanks for your time!║∅║
Find the difference of -4 -(5)
c. When the cost of flour was Rs 28 per kg, the weight of a bread was 496 gram.
What will be the weight of bread if the cost of flour increases to Rs 32 per kg?
Answer:
hope it helps
plz mark as brainliest
Answer:
when cost of flour was 28 then cost of bread is 496
so the coost of bread if flour cost 32 = 496*32/28=566.86
Step-by-step explanation:
[7,8] is the difference between
2 vectors with components [a, 5] and
(-4,-3). What is a
Answer:
The value of [tex]a[/tex] is 3.
Step-by-step explanation:
Let be [tex]\vec a = \langle a, 5 \rangle[/tex] and [tex]\vec b = \langle -4,-3 \rangle[/tex], the difference between the two vectors is:
[tex]\vec c = \vec b - \vec a[/tex]
[tex]\vec c = \langle a, 5\rangle - \langle -4,-3 \rangle[/tex]
[tex]\vec c = \langle a+4,8 \rangle[/tex]
If we know that [tex]\vec c = \langle 7,8 \rangle[/tex], the value of [tex]a[/tex] is:
[tex]\langle 7, 8 \rangle = \langle a+4, 8\rangle[/tex]
In which,
[tex]a + 4 = 7[/tex]
[tex]a = 3[/tex]
The value of [tex]a[/tex] is 3.
Please help me out on this
I did 24 hours on my speed paint if i did it for 4 more days how many minutes would that be?
Answer:
7,200 minutes.
Step-by-step explanation:
5 days * (24 hours / 1 day) = 5 * 24 hours = 120 hours
120 hours * (60 minutes / 1 hour) = 120 * 60 minutes = 7,200 minutes.
Hope this helps, and I love your art!
Answer:
7,200
Step-by-step explanation:
The proportion of brown M&M's in a milk chocolate packet is approximately 14%. Suppose a package of M&M's typically contains 52 M&M's.
A) State the random variable.
B) Argue that this is a binomial experiment.
Find the probability that:
C) 6 M&M's are brown.
D) 25 M&M's are brown.
E) All of the M&M's are brown.
F) Would it be unusual for a package to have only brown M&M's? If this were to happen, what would you think is the reason?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the scenario above :
A) State the random variable.
The random variable is the p opoertion of brown M&M's in a milk chocolate packet.
B.) Argue that this is a binomial experiment.
Each trial is independent for a total number of 52 trials with a set probability of success at 0.14
C) probability that 6 M&M's are brown:.
P(x) = nCx * p^x * (1-p)^(n-x)
p = 0.14 ; (1 - p) = 0.86 ; n = 52 ; x = 6
P(x = 6) = 52C6 × 0.14^6 × 0.86^46
= 20358520 × 0.00000752954 × 0.00097035078
= 0.1487
D) P(x =25)
P(x = 25) = 52C25 × 0.14^25 × 0.86^27
= 477551179875952 × 449.987958058*10^(-24) × 0.01703955245
= 0.00000000366
E) P(x = 52)
P(x = 52) = 52C52 × 0.14^52 × 0.86^0
= 1 × 3968.78758299*10^(-48) × 1
= 3968.78758299*10^(-48)
F) yes it would be unusual, because such probability is extremely low. However, if a huge or substantial number of trials such may occur
How is density calculated given mass and volume? 1.) Mass divided by volume 2.) Mass multiplied by volume 3.) Sum of volume and mass 4.) Difference of volume and mass
Answer:
1.) Mass divided by volume
Step-by-step explanation:
The definition of density is "mass per unit volume." It is calculated by dividing mass by volume.