The area of the hexagon is approximate, Area = (150 √3) m².
What is a formula of a hexagon?
A Regular hexagon has six sides and angles that are congruent and is made up of six equilateral triangles. The formula to find out the area of a regular hexagon is as given:
Area = (3√3 s²)/ 2
where 's' represents the length of a side of the regular hexagon.
A hexagon is a six-sided polygon. The area of a hexagon can be calculated using the formula:
Area = (3 * √3 * (side length)^2) / 2
In this case, the hexagon is 10m by 5m, so the side length of the hexagon is 10m. Plugging this into the formula, we get:
Area = (3 * √3 * (10m)^2) / 2
Area = (3 * √3 * 100m^2) / 2
Hence, the area of the hexagon is approximate:
Area = (150 √3) m².
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Market researchers wanted to know whether the placement of a new product on a supermarket shelf significantly increases the percent of shoppers who will buy the product. At Supermarket X, a new product was placed on the top shelf, and at Supermarket Y, the product was placed one shelf below the top shelf. To observe buying habits, the researchers selected a random sample of 364 shoppers at X and another random sample of 327 shoppers at Y. Of the selected shoppers at X, 15 bought the product, and of the selected shoppers at Y, 19 bought the product. Which of the following is the most appropriate method for analyzing the results?
a. A two-sample z-test for a difference in sample proportions.
b. A two-sample z-test for a difference in population proportions
c. A one-sample z-test for a sample proportion
d. A one-sample z-test for a population proportion
e. A one-sample z-test for a difference in sample proportions
Answer:
a. A two-sample z-test for a difference in sample proportions
Step-by-step explanation:
We are told that there are two supermarkets in the research named X and Y.
That a random number of shoppers were selected in each supermarket.
Thus means we have two different sample proportion.. Since a different number of people were randomly selected from each supermarket and a different number of people purchased the product.
Thus, we will have 2 sample proportions one for supermarket X and the other for supermarket Y.
In addition, the position of the product was different in both supermarkets.
Thus, we can say that this is a 2 sample Z-test for difference in their sample proportion.
The option that is most appropriate method for analyzing the results is that a two sample z test for a difference in population proportions.
What is a two sample z-test?A Two-Sample Z-test is known to be a kind of test that is often employed so as to make a comparison of the means of two samples to know and show if it is feasible that they are a product of the same population.
Conclusively, When a two sample z test is employed in the data given above, one can know and show the various difference that can be seen in population proportions.
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if a spider is 35 mm long. how many centimeters long is the spider?
Answer:
It is 3.5 cm long
Step-by-step explanation:
1 cm = 10mm
So divide 35 by 10
what is the approximate area of the shaded sector in the circle shown below?
Answer:
4,71cm3
Step-by-step explanation:
calculas el area del circulo. luego lo divides entre 360 que son los grados que tiene el circulo y luego lo multiplicas entre 60 k son los grados de la superficie que te pide
Answer:
B) 4.71 cm², the approximate area of the shaded sector in the circle shown below is 4.71 cm²
Find the surface area of the square pyramid shown below.
3
4
units
Pls help ASAP if you can
Answer:
Step-by-step explanation:
area of a triangular face = 0.5×4×3 = 6 square units
lateral area = area of 4 triangular faces = 4×6 = 24 square units
base area = 4² = 16 square units
total surface area = lateral area + base area = 24+16 = 40 square units
Answer:
40
Step-by-step explanation:
40
GIVING BRAINLIEST find the slope of the line perpendicular to the line graphed below
Answer:
Step-by-step explanation:
Slope of the line graphed=[tex]\frac{3-0}{0-(-2)}[/tex]
=[tex]\frac{3}{2}[/tex]
The slope of the line perpendicular to the line graphed = -[tex]\frac{2}{3}[/tex]
Are there any supplementary, vertical, or complimentary angles? If so wich ones
Supplementary: N and M
Supplementary angles: A pair of angles that when combined are equal to 180°.
Vertical: M and I
Vertical angles: A pair of opposite angles that are made by two intersecting lines.
Complimentary: None
Complimentary angles: A pair of angles that when combined are equal to 90°.
Hope this helps! Good luck! :D
When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps and found that of them were not pumping accurately (within 3.3 oz when 5 gal is pumped), and pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than 20% of the pumps are inaccurate. Use the P-value method and use the normal distribution as an approximation to the binomial distribution. Identify the null hypothesis and alternative hypothesis. A. : p0.2 : p0.2 B. : p0.2 : p0.2 C. : p0.2 : p0.2 D. : p0.2 : p0.2 E. : p0.2 : p0.2 F. : p0.2 : p0.2 The test statistic is z nothing. (Round to four decimal places as needed.) The P-value is nothing. (Round to four decimal places as needed.) Because the P-value is ▼ greater than less than the significance level, ▼ fail to reject reject the null hypothesis. There is ▼ insufficient sufficient evidence support the claim that less than 20% of the pumps are inaccurate.
Complete question :
When testing gas pumps for accuracy, fuel-quality enforcement specialists tested pumps and found that 1294 of them were not pumping accurately (within 3.3 oz when 5 gal is pumped), and 5705 pumps were accurate. Use a 0.01 significance level to test the claim of an industry representative that less than 20% of the pumps are inaccurate. Use the P-value method and use the normal distribution as an approximation to the binomial distribution.
Answer:
H0: p=0.2
H1: p<0.2 ;
- 3.16 ;
0.0008 ;
p value is < α ; We reject the Null.
Therefore we conclude that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate
Step-by-step explanation:
The null hypothesis ; H0 : p = 20%
Alternative ; H1 : p < 20%
Sample size, n = 1294 + 5705 = 6999
p = inaccurate / total
p = 1294 / 6999 = 0.1849
The test statistic (Z) :
(P - P0) ÷ sqrt((P0(1 - P0)) /n)
P0 = 0.2
(0.1849 - 0.2) ÷ sqrt((0.2 * 0.8)/6999))
−0.0151 ÷ 0.0047812
= - 3.1582029
= - 3.16
Pvalue : using the Pvalue from Zstatistic calculator at α = 0.01
P value = 0.000789
P value = 0.0008 (4 decimal places).
Since p value is < α ; We reject the Null.
Therefore we conclude that there is sufficient evidence to support the claim that less than 20% of the pumps are inaccurate
at a basketball game the home team scores 60% of the points. The home team scores 45 points. How many points are scored in all?
Answer:
75 points
Step-by-step explanation:
45÷60%×100%=75 points in total
For each statement, write what would be assumed and what would be proven in a proof by contrapositive of the statement. Then write what would be assumed and what would be proven in a proof by contradiction of the statement.
a. If x and y are a pair of consecutive integers, then x and y have opposite parity.
b. For all integers n, if n² is odd, then n is also odd.
Answer:
a.)
Statement - If x and y are a pair of consecutive integers, then x and y have opposite parity.
Contra-positive statement - If x and y have same parity, then x and y can not be a pair of consecutive integers.
Assumed - x and y have same parity
To prove - x and y can not be a pair of consecutive integers.
Contradiction statement - If x and y are a pair of consecutive integers and they have same parity then then it is not possible.
Assumed - x and y are a pair of consecutive integers and they have same parity
To prove - It is not possible
Proof - Let x and y are even numbers
⇒x = 2a , y = 2b
then , y - x = 2b - 2a = 2(b - a) is alteast 0 if x ≠y
Contradiction.
b.)
Statement - For all integers n, if n² is odd, then n is also odd.
Contrapositive statement - If n is even , then n² is even
assumed - n is even
To prove - n² is even
Contradiction - If n² is odd and n is even then it is not possible
Assumed - n² is odd and n is even
To prove - Our assumption is not true
Proof - As n is even
⇒n = 2a
⇒n² = (2a)² = 4a²
⇒n² is even
Contradiction.
help :( submit in simplest radical form :(
Answer:
y and x equal
[tex] \sqrt{5 } [/tex]
why is it important to write equivilant fractions before renaming
Answer:
when y rename a fraction, you are finding fraction that have the same value but have different name. these are known as equivalent fraction you can rename fraction million of different ways...As long as you multiply numerator and denominator by same number, you will get and equivalent fraction...
Step-by-step explanation:
for example :5/2
5×2/2×2 , 5×3/2×3 , 5×4/2×4 , 5×5/2×5
ANSWER OF THESE EQUIVALENT NUMBERS ARE :
10/4 , 15/6 , 20/8 , 24/10 ....
For the system of inequalities, choose all the ordered pairs that are solutions.
7x + 3y < -24
2 + 3y <-6
(-3,-1)
(-4,-2)
(-1,-2)
(-6, -3)
(-9,-9)
10. John Francis saved P4 on Monday, P16 on Tuesday, P64 on Wednesday and so on. If the
pattern continues, how much will he save on Friday?
Answer:
On Friday it saved 1,024
Step-by-step explanation:
The computation of the amount saved on friday is given below:
GIven that
On Monday it saved P4
On Tuesday it saved P16 (P4 × 4)
On Wednesday it saved P64 (P16 × 4)
On Thursday it saved 256 (P64 × 4)
On Friday it saved 1,024 (P256 × 4)
Find the exact length of the 3rd side 2 7
Evaluate the expression for x= -4.
4x2 - 6x + 7
When x= -4,4x2 - 6x +7=
The area of a rectangular front yard is, 180 square feet find the length of the front yard if the width is 15 feet
In the figure, O is the centre of a circle passing through points
A, B, C and D and ADC = 120
Find the value of x.
Answer:
30 degrees
Step-by-step explanation:
The computation of the value of x is given below:
Given that
ADC = 120 degrees
So ABC = 60 degrees
As the sum of the opposite angles are 180 degrees
And ACB = 90 degrees
Now in Triangle ADC
Angle ACB + Angle ABC + x = 180 degrees
90 + 60 + x = 180
x = 30 degrees
9 - 2x is less than or equal to -5
Solve for X
Are 2.r = 4 and 4x + 5 = 13 equivalent?
Answer:
Yes, they are equivalent.
Step-by-step explanation:
2r = 4, r = 2. We get this because 4/2 = 2.
4x+5 = 13. Subtract 5 from both sides and we'll get 4x=8. Now divide 8/4 = 2.
So we get 2 = 2, which means that the expressions are equivalent.
Adam's starting salary is $52,750 per year. He is told that his salary will increase to $66,475 at the beginning of 9 years. What is the rate of Adam's salary?
Step-by-step explanation:
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PLEASE HELP IM ON A TIME LIMIT!!!
Answer:
i answered the other question like this check your other question for the answerrs
Step-by-step explanation:
(GIVING BRAINLIYEST)
8. what is the volume of these 5 objects
a= 224in^3
b= 240in^3
2. 144ft^3
3. 135in^3
4. l=4
w= 3
h=3
A= 36in³
Yasmin went to the store and bought 3 1/2 pounds of ground beef for $11.20. How much did the ground beef cost per pound?
Answer:
Step-by-step explanation:
m,m
Which of the following is most likely the next step in the series ?
Answer:
The answer is F) g21T
Hope it helps!
Thanks!
If 84 of the 224 participants in club activities are nonresidents what is the ratio of residents to nonresidents who participate in club activities
Answer:
5:3
Step-by-step explanation:
140:84 =
35:21 =
5:3
Hope that helps! (If you're up for it, can you give me a brainliest? Thanks)
The ratio is 5:3
What is ratio?A ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.
Given:
Total participants= 224
nonresidents =84
So, residents= 224-84 = 140
Now, ratio of residents to nonresidents
=140/84
=70/42
=10/6
=5/3
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Element X is a radioactive isotope such that every 66 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 240 grams, how much of the element would remain after 29 years, to the nearest whole number?
Answer:
177 grams
Step-by-step explanation:
Answer:
53grams... Approximated
Step-by-step explanation:
In 66 years = 240/2 = 120 grams
In 1 year = 120/66 gram
In 29 years = 120/66 × 29 = 52.73grams
PLZZ HURRY I am being timed
Henry divided his socks into five equal groups. Let s represent the total number of socks. Which expression and solution represent the number of socks in each group if s = 20?
A) StartFraction s Over 5 EndFraction; when s = 20, the number of socks in each group is 4.
B) StartFraction s Over 5 EndFraction; when s = 20, the number of socks in each group is 15.
C) s minus 5; when s = 20, the number of socks in each group is 4.
D) s minus 5; when s = 20, the number of socks in each group is 15.
Answer:
so for each group just multiply the number of socks in each group to 5 and = s
so
1. s = 4x5
s = 20
Step-by-step explanation:
A. S/5; when S=20, the number of socks in each group is 4.
Answer:
It's A
Step-by-step explanation:
Your firm has developed a new product aimed at the European and Asian markets. For each of these two markets, you have identified two possible sales scenarios, called "good" and "bad", with the following probabilities:
Europe Good Europe Bad
Asia Good 0.55 0.15
Asia Bad 0.20 0.10
That is, there is a 55% chance the products sales will be good in Asia and Europe, a 15% chance they will be good in Asia but bad in Europe, and so forth.
You have four possible courses of action:
• Introduce the product simultaneously in Europe and Asia.
• Introduce it in Asia first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Europe, one year later.
• Introduce it in Europe first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Asia, one year later.
• Abandon the product.
The NPV's of the various scenarios are as follows, in millions of US dollas
Immediate Introduction After one year
Good Bad Good Bad
Asia 120 -205 +117 -205
Europe +105 -200 +102 -200
For example, "good" sales in Asia mean an NPV of S120 million if the product is introduced in this year, and S117 mlo i the product is introduced next year. In either year, "bad" sales mean an NPV of-$205 ml The information for Europe should be interpreted similarly
A) Calculate:
1) The probability of good sales in Asia The probability of good sales in Europe.
2) The probability of good sales in Asia, given that good sales are observed in Europe.
3) The probability of good sales in Asia, given that bad sales are observed in Europe.
4) The probability of good sales in Europe, given that good sales are observed in Asia.
5) The probability of good sales in Europe, given that bad sales are observed in Asia.
B) Use a decision tree to determine the best introduction strategy for the product from the standpoint of EMV. State the optimal policy and its EMV.
Solution :
1. [tex]$P(\text{ good sales in Asia }) = 0.55+0.15$[/tex]
= 0.7
2. [tex]$P(\text{ good sales in Europe }) = 0.55+0.20$[/tex]
= 0.75
3. [tex]$\text{P(good sales in Asia }| \text{ good sales in Europe}) $[/tex][tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Europe)}}$[/tex]
[tex]$=\frac{0.55}{0.75}$[/tex]
[tex]$=\frac{11}{15}$[/tex]
4. [tex]$\text{P(good sales in Asia }| \text{ bad sales in Europe}) $[/tex]
[tex]$=\frac{\text{P (good sales in Asia and bad sales in Europe)}}{\text{P( bad sales in Europe)}}$[/tex]
[tex]$=\frac{0.15}{0.25}$[/tex]
[tex]$=0.6$[/tex]
5. [tex]$\text{P(good sales in Europe }| \text{ good sales in Asia}) $[/tex]
[tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Asia)}}$[/tex]
[tex]$=\frac{0.55}{0.7}$[/tex]
[tex]$=\frac{11}{14}$[/tex]
6. [tex]$\text{P(good sales in Europe }| \text{ bad sales in Asia}) $[/tex]
[tex]$=\frac{0.2}{0.3}$[/tex]
[tex]$=\frac{2}{3}$[/tex]
HELP PLEASEEEEEEEEEEEEEE
Answer:
I think it's B 121.5
Step-by-step explanation:
I don't feel like explaining how I got that
(5+3)+2=5+(3+2) what is the property?
Answer:
associative property
Step-by-step explanation: