Answer:
22.5%
Step By Step Explanation:
1) the amount which will be obtained when 5 kg of rice is sold for Rs30 per kg=150 kg
2) the amount which will be obtained when 5 kg of rice is sold for Rs27 per kg=135 kg
3)difference of Both the no. = 150-135
= 15 kg
4) ans as percentage = 15% of 150
= 22.5%
WARNING:- NOT SURE WITH THE ANSWER
to prove triangleABC is isosceles, which of the following statements can be used in the proof?
(idk the answer)
Answer:
Step-by-step explanation:
An isosceles triangle is a triangle in which two of its sides are equal. This also means that in the triangle, two angles are equal. The angles are usually the base angles. Looking at the given triangle ABC, the base angles are angle Angle A and Angle B, thus angle A = ang B
Therefore, the statement that can be used in the proof is
Angle CAB = angle CBA
The study reported, "Girls aged 5-15 in villages that received the recruiting services were 3 to 5 percentage points more likely to be in school and experienced an increase in Body Mass Index, reflecting greater nutrition and/or medical care. However, there was no net gain in height. For boys, there was no change in any of these measures." Why do you think the author points out the lack of change in the boys?
Answer:
Step-by-step explanation:
From the given information:
The study group includes Girls and Boys
So; we can have a table
Groups Treatment ( Recruiting services) Points
Girls likely to be in School and increase 3-5 %
in Body Mass Index, reflecting greater
nutrition and/or medical care.
Net gain in height -
Boys likely to be in School and increase No changes
in Body Mass Index, reflecting greater
nutrition and/or medical care.
Net gain in height No changes
Why do you think the author points out the lack of change in the boys?
From the information above; we need to understand that the point the author is trying to express is that the Recruiting services Treatment are largely beneficial for the females rather than the males.
There are 60 people at the subway station 12 of them jumped the
turnstile. What percentage of people jumped the turnstile? What
percentage of people paid?
Answer:
20% of people jumped the turnstile, 80% of people paid
Step-by-step explanation:
Percentage is a ratio of one part to another part which it is a member of.
In this scenario, we are given that 12 out of 60 people did not pay as they jumped the turnstile; to calculate this as a percentage, we can simply divide 12 by 60 to find the decimal value of 0.2; when 0.2 is converted to a value out of 100, we find that it gives us 20% (0.2/1=x/100, x=0.2*100, x=20)
Assuming everyone else pays, and by taking the complementary members of the total group, we find that 80% of people will have paid.
Please answer this correctly
Answer:
5/12
Step-by-step explanation:
The probability of rolling a number greater than 1 is 5/6, because 5 numbers on a 6-sided dice are greater than 1.
The probability of rolling an even number is 3/6, because 3 numbers on a 6-sided dice are even numbers.
[tex]5/6 \times 3/6[/tex]
[tex]=15/36[/tex]
[tex]=5/12[/tex]
A shipment of 60 inexpensive digital watches, including 9 that are defective,is sent to a department store.The receiving department select's 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective.What is the probability that the shipment will be rejected?
Answer: 0.627 or 62.7 %
Step-by-step explanation:
The probability that shipment will be rejected P(rejected) = 1- probability that shipment will be accepted.
P(rejected)= 1-P(accepted)
P(accepted) is equal to probability when all 10 watches are not defective.
The probability that 1st one randomly selected watches are not defective is 51/60 (51 watches are not defective and 9 are defective)
The probability that 2-nd one randomly selected watches are not defective is 50/59 ( because the total number of the watches now is 1 unit less 60-1=59, and the total number of not defective watches is 1 unit less 51-1=50 units)
The probability that 3rd one randomly selected watches are not defective is 49/58 (49 watches are not defective total number of watches is 58)
Similarly P(4th)= 48/57 P(5th)=47/56 P(6th)=46/55 P(7th)=45/54
P(8th)=44/53 P(9th)=43/52 P(10th)=42/51
So P(accepted)= P(1st)*P(2nd)*P(3rd)*P(4th)*P(5th)*P(6th)*P(7th)*P(8th)*P(9th)*P(10th)=
=51*50*49*48*47*46*45*44*43*42/(60*59*58*57*56*55*54*53*52*51)=
= approx= 0.373
So P(rejected)=1-0.373=0.627
Does the point (3.28) lie on the line y = 19+ 3x
Answer:
yes
Step-by-step explanation:
y = 19+ 3x
Let x = 3 and y = 28
28 = 19 + 3*3
28 =19+9
28 = 28
This is true so the point is one the line
9) brainliest & 10 + points!
Answer:
no supplement
Step-by-step explanation:
Supplementary angles add to 180 degrees,
This angle is larger than 180 degrees by itself, so it has no supplement
What do you go by for the pattern 360,60,10 would it be add 60, divided by 6 ,multiply by 6 or subtract 300?
Answer:
divided by 6
Step-by-step explanation:
Given pattern
360,60,10
would it be add 60
lets
add 60 to each term
360 +60 = 420
but next term is 60, hence it incorrect choice
divided by 6
lets divide each term by 6
360/6 = 60 which is the next term in the series as well
60/6 = 10 which is also the next term in the series as well
hence divided by 6 is the correct option.
multiply by 6
multiply by 6 to each term
360 *60 = 21600
but next term is 60, hence it incorrect choice
subtract 60 from each term
360 -300 = 60 which is the next term in the series
60 -300 = -240 which is not same the next term in the series that is 10
hence this is incorrect choice
Find measure of arc or angle indicated
round to the nearest hundredth: 2.0625
Answer: 2.06
Step-by-step explanation:
Remember if the number is greater than 5 round up, if it is less than 5 don't round up.
After round off the number 2.0625 to its nearest hundredth, it is 2.06.
When we round to the nearest hundredth, we follow the rule that says:
If the digit in the thousandths place is less than 5 we round down the hundredths place.If the digit in the thousandths place is greater than 5, we round up the hundredths place.The given number is 2.0625
In this number, the thousandth digit is 2 that is less than 5.
So we round down the hundredth place. The hundredth digit is 6 which remain 6 after rounding down.
So, the rounded number will be 2.06.
Hence, when we round 2.0625 to its nearest hundredth, it will be 2.06.
Learn more about round off the numbers here:
https://brainly.com/question/30453145
#SPJ6
c. Let us assume that x has a distribution that is approximately normal. What is the probability that x is between $12 and $18
Answer:
0.0066
Step-by-step explanation:
The x has a distribution that is approximately normal. For normal distribution the probability of x will be,
u = 12 and 18
P (12 [tex]\leq[/tex] [tex]x[/tex] [tex]\leq[/tex] 18)
P (- 2.3 [tex]\leq[/tex] [tex]x[/tex] [tex]\leq[/tex] 2.85 )
P (0.9912 - 0.9978)
= 0.0066
A linear function has a slope of -7/9 and ay-intercept of 3. How does this function compare to the linear function that is
represented by the equation y+11=-7/9(x-18)?
It has the same slope and the same y-intercept.
It has the same slope and a different y-intercept.
It has the same y-intercept and a different slope.
O It has a different slope and a different y-intercept.
Answer:
same slope and same y intercept
Step-by-step explanation:
y + 11 = -7/9 (x - 18)
y + 11 = -7/9x + 14
y = -7/9x + 3
To decide whether two different types of steel have the same true average fracture toughness values, n specimens of each type are tested, yielding the following results.
Type Sample Average Sample SD
1 60.7 1.0
2 60.5 1.0
Required:
a. Calculate the P-value for the appropriate two-sample z test, assuming that the data was based on n = 100. (Round your answer to four decimal places.)
b. Calculate the P-value for the appropriate two-sample z test, assuming that the data was based on n = 500. (Round your answer to four decimal places.)
c. Is the small P-value for n = 500 indicative of a difference that has practical significance
Answer:
a. P-value = 0.1589
b. P-value = 0.0016
Step-by-step explanation:
a. This is a hypothesis test for the difference between populations means.
The claim is that the two types of steel have different true average fracture toughness values.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2\neq 0[/tex]
The significance level is α=0.05.
The sample 1, of size n1=100 has a mean of 60.7 and a standard deviation of 1. The sample 2, of size n2=100 has a mean of 60.5 and a standard deviation of 1.
The difference between sample means is Md=0.2.
[tex]M_d=M_1-M_2=60.7-60.5=0.2[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2+\sigma_2^2}{n}}=\sqrt{\dfrac{1^2+1^2}{100}}\\\\\\s_{M_d}=\sqrt{\dfrac{2}{100}}=\sqrt{0.02}=0.1414[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{0.2-0}{0.1414}=\dfrac{0.2}{0.1414}=1.4142[/tex]
The degrees of freedom for this test are:
[tex]df=n_1+n_2-2=100+100-2=198[/tex]
This test is a two-tailed test, with 198 degrees of freedom and t=1.4142, so the P-value for this test is calculated as (using a t-table):
[tex]P-value=2\cdot P(t>1.4142)=0.1589[/tex]
As the P-value (0.1589) is greater than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the two types of steel have different true average fracture toughness values.
b. As the sample size changes, the standard error and the degress of freedom change.
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2+\sigma_2^2}{n}}=\sqrt{\dfrac{1^2+1^2}{500}}\\\\\\s_{M_d}=\sqrt{\dfrac{2}{500}}=\sqrt{0.004}=0.0632[/tex]
Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{0.2-0}{0.0632}=\dfrac{0.2}{0.0632}=3.1623[/tex]
The degrees of freedom for this test are:
[tex]df=n_1+n_2-2=500+500-2=998[/tex]
This test is a two-tailed test, with 998 degrees of freedom and t=3.1623, so the P-value for this test is calculated as (using a t-table):
[tex]P-value=2\cdot P(t>3.1623)=0.0016[/tex]
As the P-value (0.0016) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the two types of steel have different true average fracture toughness values.
To compare the production techniques used by foreign and local firms in Brazil, a random sample of 80 foreign firms and a random sample of 80 local firms are selected.This study uses_________ design
Answer:
An independent sample.
Step-by-step explanation:
In this scenario, to compare the production techniques used by foreign and local firms in Brazil, a random sample of 80 foreign firms and a random sample of 80 local firms are selected. We can safely conclude that this study uses an independent sample design.
An independent sample design can be defined as a research method that usually involves the use of multiple experimental groups (two or more). The samples or participants are only in one group and as such each group has no relationship with the other. This simply means that, the samples in a particular group is having no relationship with the other samples in another group.
Ultimately this implies, each samples are independent and satisfies only one condition of the independent sample design during the experiment to compare the production technique used by foreign and local firms in Brazil.
Hence, the researcher would use only two variables or conditions: a random sample of 80 foreign firms and a random sample of 80 local firms are selected.
what is the solution of the inequality shown below
Answer:
there is no inequality..
Step-by-step explanation:
Answer:
???
Step-by-step explanation:
an experiment consists of rolling two fair dice and adding the dots on the two sides facing u. Find the probability of the sum of the dots indicate. A sum less than or equal to 6
Answer:
41.67% probability of the sum of the dots indicate a sum less than or equal to 6
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes:
In this problem, we have these possible outcomes:
Format(Dice A, Dice B)
(1,1), (1,2), (1,3), (1,4), (1,5),(1,6)
(2,1), (2,2), (2,3), (2,4), (2,5),(2,6)
(3,1), (3,2), (3,3), (3,4), (3,5),(3,6)
(4,1), (4,2), (4,3), (4,4), (4,5),(4,6)
(5,1), (5,2), (5,3), (5,4), (5,5),(5,6)
(6,1), (6,2), (6,3), (6,4), (6,5),(6,6)
There are 36 possible outcomes.
Desired outcomes:
Sum of 6 or less. They are:
(1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (4,1), (4,2), (5,1)
15 desired outcomes
15/36 = 0.4167
41.67% probability of the sum of the dots indicate a sum less than or equal to 6
Really need help on question 8.
Answer:50.18
Step-by-step explanation:
8x+17+9x+11=102
17x+28=102
-28. -28
17x=74
<CAD=9x+11=50.18
x=74/17
Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. From a sustain-ability perspective, PHB offers many attractive proper-ties though it is more expensive to produce than standard plastics. The accompanying data on melting point (°C) for each of 12 specimens of the polymer using a differential scanning calorimeter appeared in the article "The Melting Behaviour of Poly(3-1-1ydroxybutyrate) by DSC. Reproducibility Study" (Polymer Testing, 2013: 215-220).
180.5 181.7 180.9 181.6 182.6 181.6
181.3 182.1 182.1 180.3 181.7 180.5
Compute the following:
a. The sample range
b. The sample variance S2 from the definition (Hint: First subtract 180 from each observation.]
c. The sample standard deviation
d. S2 using the shortcut method
Answer:
(a) 2.3
(b) 0.5245
(c) 0.7242
(d) 0.5245
Step-by-step explanation:
The data provided is:
S = {180.5, 181.7, 180.9, 181.6, 182.6, 181.6, 181.3, 182.1, 182.1, 180.3, 181.7, 180.5}
(a)
The formula to compute the sample range is:
[tex]\text{Sample Range}=\text{max.}_{x}-\text{min.}_{x}[/tex]
The data set arranged in ascending order is:
S' = {180.3 , 180.5 , 180.5 , 180.9 , 181.3 , 181.6 , 181.6 , 181.7 , 181.7 ,, 182.1 , 182.1 , 182.6}
The minimum value is, 180.3 and the maximum value is, 182.6.
Compute the sample range as follows:
[tex]\text{Sample Range}=\text{max.}_{x}-\text{min.}_{x}[/tex]
[tex]=182.6-180.3\\=2.3[/tex]
Thus, the sample range is 2.3.
(b)
Compute the sample variance as follows:
[tex]S^{2}=\frac{1}{n-1}\sum(x_{i}-\bar x)^{2}[/tex]
[tex]=\frac{1}{12-1}\times [(180.5-181.41)^{2}+(181.7-181.41)^{2}+...+(180.5-181.41)^{2}]\\\\=\frac{1}{11}\times 5.7692\\\\=0.524473\\\\\approx 0.5245[/tex]
Thus, the sample variance is 0.5245.
(c)
Compute the sample standard deviation as follows:
[tex]s=\sqrt{S^{2}}[/tex]
[tex]=\sqrt{0.5245}\\\\=0.7242[/tex]
Thus, the sample standard deviation is 0.7242.
(d)
Compute the sample variance using the shortcut method as follows:
[tex]S^{2}=\frac{1}{n-1}\cdot [\sum x_{i}^{2}-n(\bar x)^{2}][/tex]
[tex]=\frac{1}{12-1}\cdot [394913.57-(12\times (181.41)^{2}]\\\\=\frac{1}{11}\times [394913.57-394907.80]\\\\=\frac{5.77}{11}\\\\=0.5245[/tex]
Thus, the sample variance is 0.5245.
Please answer this correctly
two lines, 3y-2x=21 and 4y+5x=5, intersect at the point Q. find the coordinates of Q.
Answer:
Q = (- 3, 5 )
Step-by-step explanation:
Given the 2 equations
3y - 2x = 21 → (1)
4y + 5x = 5 → (2)
Multiplying (1) by 5 and (2) by 2 and adding will eliminate the x- term.
15y - 10x = 105 → (3)
8y + 10x = 10 → (4)
Add (3) and (4) term by term to eliminate x
23y = 115 ( divide both sides by 23 )
y = 5
Substitute y = 5 into either of the 2 equations and solve for x
Substituting into (2)
4(5) + 5x = 5
20 + 5x = 5 ( subtract 20 from both sides )
5x = - 15 ( divide both sides by 5 )
x = - 3
Solution is (- 3, 5 )
How many feet of chain fence are necessary to enclosed a dog pen that is square and has a area of 64 sq feet
Answer:
32 feet
Step-by-step explanation:
area of square is given by side^2
Perimeter of square is given by 4*side
_______________________________
Given
area of square = 64 sq feet
side^2 = 64
side^2 = 8^2
side = 8
thus side = 8 feet
_______________________________________
The dog pen is fenced with chain, hence chain will be fence at the edge of square and at the perimeter.
Thus, length of chain required will be same as the Perimeter of square.
Perimeter of given dog pen with side length 8 feet = 4*8 = 32 feet.
Thus, 32 feet of chain fence is required.
The board of directors of Midwest Foods has declared a dividend of $3,500,000. The company has 300,000 shares of preferred stock that pay $2.85 per share and 2,500,000 shares of common stock. After finding the amount of dividends due the preferred shareholders, calculate the dividend per share of common stock.
Answer:
$1,06
Step-by-step explanation:
Calculation for dividend per share of common stock for board of directors of Midwest Foods
First step is to find the amount of dividends due to the preferred shareholders
Using this formula
Total Dividend =Dividend- (Preferred stock *Per share of preferred stock )
Let plug in the formula
Total Dividend =$3,500,000-($300,000*$2.85)
Total Dividend =$3,500,000-$855,000
Total Dividend =$2,645,000
The second step is to find Dividend per share of common stock
Using this formula
Dividend per share of common stock=Total dividend/Shares of common stock
Let plug in the formula
Dividend per share of common stock=$2,645,000/$2,500,000
Dividend per share of common stock=$1.06
Therefore the dividend per share of common stock for board of directors of Midwest Foods will be $1.06
Multiply: (−2x2 + 9x − 3) * (7x2 − 4x + 2)
Answer:
[tex]-14x^4+71x^3-61x^2+30x-6[/tex]
Step-by-step explanation:
All we are doing is distributing each number of the 1st equation to the 2nd equation to get our answer. Once we do so, we combine like terms and we get our answer.
listed below are costs in dollars of round trip flights between two cities. All flights involve one stop and a two week stay. Find a coefficient of variation for each of the two sets of data, then compare the variation.
30 days in advance: 250 286 305 256 288 282 254
1 day in advance: 454 619 557 912 619 1049 562
The coefficient of variation for the prices of tickets purchased 30 days in advance is ____% (round to the three decimal places as needed)
Answer:
coefficient of variation = 7.108%
Step-by-step explanation:
From the given information:
The objective is to determine the coefficient of variation for the prices of tickets purchased 30 days in advance is ____%
The mean [tex]\overline x[/tex] = [tex]\dfrac{250+286+305+256+288+282+254}{7}[/tex]
The mean [tex]\overline x[/tex] = [tex]\dfrac{1921}{7}[/tex]
The mean [tex]\overline x[/tex] = 274.4285714
The standard deviation also can be computed as follows:
[tex]\sigma =\sqrt{ \dfrac{\sum (x_i-\mu)^2}{N}}[/tex]
[tex]\sigma =\sqrt{ \dfrac{ (250-274.43)^2+(286-274.43)^2+(305-274.43)^2+...+(254-274.43)^2}{7}}[/tex][tex]\sigma =19.507[/tex]
Finally; the coefficient of variation can be calculated with the formula:
coefficient of variation = [tex]\dfrac{\sigma}{\overline x}[/tex]
coefficient of variation = [tex]\dfrac{19.507}{274.43}[/tex]
coefficient of variation = 0.07108
coefficient of variation = 7.108%
A set of data is summarized by the stem and leaf plot below.
Steam Leaf
1 0 0 2 4 4 4 7 8 8 8 8 9
2 2 2 5 5 7 8
3 3 4 4 5 5 5 6 6 6 7 9 9
4 3 3 3 5 5 7 9
a. There are _____ values in the data set which are greater than or equal to 10 and less than or equal to 19.
b. There are _____ values in the data set which are greater than or equal to 30 and less than or equal to 39.
c. There are ____ values in the data set which are greater than or equal to 40 and less than or equal to 49.
Answer:
(a) There are 12 values in the data set which are greater than or equal to 10 and less than or equal to 19.
(b) There are 12 values in the data set which are greater than or equal to 30 and less than or equal to 39.
(c) There are 7 values in the data set which are greater than or equal to 40 and less than or equal to 49.
Step-by-step explanation:
We are given a set of data that is summarized by the stem and leaf plot below;
Steam Leaf
1 0 0 2 4 4 4 7 8 8 8 8 9
2 2 2 5 5 7 8
3 3 4 4 5 5 5 6 6 6 7 9 9
4 3 3 3 5 5 7 9
This shows that the data values are: 10, 10, 12, 14, 14, 14, 17, 18, 18, 18, 18, 19, 22, 22, 25, 25, 27, 28, 33, 34, 34, 35, 35, 35, 36, 36, 36, 37, 39, 39, 43, 43, 43, 45, 45, 47, 49.
(a) From the data above, the number of values in the data set which are greater than or equal to 10 and less than or equal to 19 is 12, i.e; 10, 10, 12, 14, 14, 14, 17, 18, 18, 18, 18, 19.
(b) From the data above, the number of values in the data set which are greater than or equal to 30 and less than or equal to 39 is 12, i.e; 33, 34, 34, 35, 35, 35, 36, 36, 36, 37, 39, 39.
(c) From the data above, the number of values in the data set which are greater than or equal to 40 and less than or equal to 49 is 7, i.e; 43, 43, 43, 45, 45, 47, 49.
Answer:5,9
Step-by-step explanation:
Let $x$ be the smallest multiple of $11$ that is greater than $1000$ and $y$ be the greatest multiple of $11$ less than $11^2$. Compute $x - y$.
Answer:
891
Step-by-step explanation:
x has to be 1001 and y has to be 11 * 10 = 110 so x - y = 1001 - 110 = 891.
Answer:
891
Step-by-step explanation:
[tex]$1001$ is the smallest integer greater than $1000$. It also happens to be a multiple of $11$, since $1001 = 11 \cdot 91$. So $1001$ is the smallest multiple of $11$ greater than $1000$ and thus $x = 1001$.The greatest multiple of $11$ that is less than $11^2 = 11 \cdot 11$ is$$11 \cdot (11 - 1) = 11 \cdot 10 = 110$$Thus $y = 110$, and we compute$$x - y = 1001 - 110 = \boxed{891}$$[/tex]
Hope this helped! :)
Translate to an equation and solve 133 is the product of -19 and n
Answer:
Step-by-step explanation:
133 is the product of -19 and n
Translate to an equation is:
133 = -19n
then:
n = 133/-19
n = -7
Check:
133 = -19*7
Mari Seni works exactly 40 hours in a 5-day work week. She worked 6 1/2 hours on Monday, 8 3/4 hours on Tuesday, 6 5/6 hours on Wednesday, and 10 1/4 hours on Thursday. How many hours must Mari work on Friday.
Answer:
gdk
Step-by-step explanation:
Graph the system of linear inequalities. Please help!
Answer: Third option is correct
Step-by-step explanation: The y-intercepts match the constants (b in y=mx+b format) The y-values shaded above the line y≥2x+4 are correct. The y-values shaded in the region below the y≤2x -2 are also correct.
What is the slope of the line shown?
Slope=-1/2
Slope =7
Slope=2
Slope=-2
Answer:
-2
Step-by-step explanation:
To find the slope: Rise/Run
You go 2 steps down for every step you go right.
Your rise is -2 and your run is 1.
So your slope is -2.
Answer:
-2
Step-by-step explanation:
Get two points that intersect that line.
(1, 5) and (2, 3)
Find the rise and run.
As we can see to get from (1,5) to (2,3), we have to go to the right by 1 and go down by 2 (in this case the movement is -2 steps).
rise/run
-2/1 = -2