Answer:e-186
Step-by-step explanation:43-13=30 and then multiply 13x12 which is 156 and then add 30 to 156 and you get your answer
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:
8i to the power of 62
Answer: -8
Step-by-step explanation:
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 .
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:
Which set of ordered pairs does not represent a function
The Second one {(-8,-7), (4,-2), (2,9), (-8,8)}
Step-by-step explanation:A function only gives ONE out put for a given value. But the second set has two outputs if we input -8, it gives you -7 and 8 so this must not be a function.
Find the difference of -4 -(5)
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!║∅║
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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The unit for density is a derived unit. True or False
Answer:
true
Step-by-step explanation:
Answer:
TRUE is the answer.
The unit for density is a derived unit.
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
[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.
say you have (-4,-4) and (8,4)
which ones are the y2, y1, x2, and x1
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.
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
racional o irracional 1/9
Answer:
rational or racional
Step-by-step explanation:
mZSRW =
need a fast answer thanks!
Answer:
The answer is 95 degrees.
Step-by-step explanation: rtw and srw are vertical angles and therefore have the same angle measure
PLs give brainliest if someone else answers!
The measurement of the angle ∠ SRW in the given figure is 95°
What are angles?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Angles formed by two rays lie in the plane that contains the rays.
Angles are also formed by the intersection of two planes.
Given is a figure, lines VS and TW are intersecting at the point R, making angles, TRV, TRS, VRW and SRW,
We need to find the measurement of the angle SRW,
Here, we can see that the angles TRV and SRW, are vertically opposite angles,
Vertically opposite angles :-
Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other.
Therefore, we can say that, ∠ TRV = ∠ SRW
Since, ∠ TRV = 95°
Therefore, ∠ SRW = 95°
Hence, the measurement of the angle ∠ SRW in the given figure is 95°
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Which statement is true?
A function is a relation where each output value is assigned to exactly one input value.
The domain of a function is the set of all output values, or y-values, for which the function is defined.
The range of a function is the set of all input values, or x-values, for which the function is defined.
To write the equation y = ax + b in function notation, substitute f(x) for y.
Answer:
To write the equation y = ax + b in function notation, substitute f(x) for y
Step-by-step explanation:
The only true statement is the last one.
__
A function assigns exactly one output value to each input value.
The domain is the set of all input, or x-values.
The range is the set of all output, or y-values.
y=ax+b can be written in function notation by replacing y with f(x).
Answer:
The last one: To write the equation y = ax + b in function notation, substitute f(x) for y.
Step-by-step explanation:
A relation is a mapping from a set of input values, called the domain, to a set of output values, called the range. In a relation, each element in the domain can be assigned to one or more elements in the range.
A function is a relation where each input value is assigned to exactly one output value.
The domain of a function is the set of all input values, or x-values, for which the function is defined.
The range of a function is the set of all output values, or y-values, for which the function is defined.
To write the equation y = ax + b in function notation, substitute f(x) for y, resulting in the function f(x) = ax + b.
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
The senior class had a car wash to raise money for the senior trip. It cost them $35 for supplies. They washed 75 cars and charged $6 for each car.
Which of the following expressions represents the money they raised for their trip?
Answer: $415
Step-by-step explanation: 75 x $6 = 450. 450 - 35 = 415
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
Please help me out on this
need help!! which is tight?
Answer:
65°
Step-by-step explanation:
Complimentary angles are two angles that add up to 90°
So, to find the unknown angle, simply subtract 25 from 90.
90-25=65
The other angle is 65°
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.
Point G ia on line segment FH Given FG = 5x + 2 GH = 3x -1 and FH = 9 determine the numerical length of FG
Answer:
Step-by-step explanation:
FG=7
What number multiplied by itself 3 times equals 10
Answer:
2.1544
Step-by-step explanation:
[tex]\sqrt[3]{10}[/tex] = 2.1544
check: 2.1544^3
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:
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.
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:
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)
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