The length of each side of a regular pentagon
a)6.4cm
b) 32cm
a) A pentagon is 6.4cm to 1 decimal place it can see that the answer.
b) A pentagon has 5 sides.
The Pentagon was originally intended to be built on ground that had five sides surrounded by roadways, therefore the architects created a five-sided structure. The Pentagon serves as the Department of Defense of the United States' administrative center. During World War II, it was built on an accelerated schedule.
Any five-sided polygon or 5-gon is referred to as a pentagon in geometry (from the Greek word pente meaning five and gonia meaning angle). In a straightforward pentagon, the interior angles add up to 540°. A pentagon could be straightforward or self-intersect. A pentagram is a self-intersecting regular pentagon (sometimes known as a star pentagon).
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Land's Beginning is a company that sells its merchandise through the mail. It is considering buying a list of addresses from a magazine. The magazine claims that at least 25% of its subscribers have high incomes (they define this to be household income in excess of $100,000). Land's Beginning would like to estimate the proportion of high-income people on the list. Checking income is very difficult and expensive but another company offers this service. Land's Beginning will pay to find incomes for an SRS of people on the magazine's list. They would like the margin of error of the 95% confidence interval for the proportion to be 0.05 or less. Use the guessed value p = 0.25 to find the required sample size.
Solution :
It is given that we use CI = 95%
Therefore, the value of z = 1.96 as the \($P(-1.96 <z<1.96)=0.95$\)
Also, here it is given that E = 0.05 and the value of p = 0.25
Thus from the formula of E, we can find n
\($E= z \times \sqrt{\frac{pq}{n}}\)
\($n= \left(\frac{z}{E}\right)^2 \times p \times q$\)
\($n= \left(\frac{1.96}{0.05}\right)^2 \times 0.25 \times 0.75$\)
= 288.12
= 289
Helppp please!!!!!!
Michelin Tire Company wishes to set a minimum mileage guarantee on its new MX100 tire. Tests reveal the mean mileage is 67,900 with a standard deviation of 2,050 miles and that the distribution of miles follows the normal probability distribution. Michelin wants to set the minimum guaranteed mileage so that no more than 4 percent of the tires will have to be replaced. What minimum guaranteed mileage should Michelin announce
Answer:
The minimum guaranteed mileage is \(x = 71489.55\)
Step-by-step explanation:
From the question we are told that
The mean is \(\mu = 67900\)
The standard deviation is \(\sigma = 2050\)
Generally for the probability to be 4% the minimum guaranteed mileage is evaluated as
\(P( X \ge x ) =1- P( \frac{X - \mu }{\sigma } < \frac{ x - 67900 }{ 2050} ) = 0.04\)
\(\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )\)
\(P( X \ge x ) =1- P( Z<z) = 0.04\)
=> \(P( X \ge x ) = P( Z<z) = 0.96\)
=> \(z = \frac{ x - 67900 }{ 2050}\)
From the z table, the critical value corresponding to 0.96 to the left of the curve is
\(z = 1.751\)
So
\(1.751 = \frac{ x - 67900 }{ 2050}\)
=> \(x = 71489.55\)
What is 4(23) + 5(6)
Answer:
The correct answer would be 122
Step-by-step explanation:
4(23)=92
5(6)=30
92+30= 122
Brainliest?
Answer:
Greetings! The answer would be 122
Step-by-step explanation:
step #1:
(you can use PEMDAS)
First, multiply and divide (you just have to multiply)
4(23) = 92
step #2
Next, you have to do the same. Multiply and divide (you just have to multiply)
5(6) = 30
step #3
And finally, you add and subract. (you just have to add)
92 + 30
= 122
Sorry for answering late. Hope this helps!! :)
By: ItzPadlet
what 2 integers are closest to the number 75
Answer:
74 and 76
Step-by-step explanation:
I'm pretty sure
Answer:
8 and 9
Step-by-step explanation:
8 x 8 = 64
9 x 9 = 81
75 is the number between 64 and 81
A rectangular poster is 50 centimeters long and 25 centimeters wide. If 1 centimeter is approximately 0.4 inches, which of the following best represents the area of the poster in inches?
The area of the poster in inches is,
⇒ A = 4 inches²
We have to given that;
A rectangular poster is 50 centimeters long and 25 centimeters wide.
Here, 1 centimeter is approximately 0.4 inches
Hence, Lenght = 50 cm
Lenght = 50 x 0.4
= 2 inches
Width = 25 cm
= 25 x 0.4
= 1 inches
Thus, The area of the poster in inches is,
⇒ A = 1 x 4
⇒ A = 4 inches²
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1. Find the greatest number of 4-digits which is exactly divisible by each of 2,3,4,5,6 and 7.
Answer:
Step-by-step explanation:
The number which is divisible by 2, 3, 4, 5 and 6 will also be divisible by LCM of 2, 3, 4, 5 and 6. Let us divide 9999 by 60 and find the remainder, Remainder after dividing 9999 by 60 is 39. Therefore, the largest number which is divisible by these numbers should be 39 less than 9999.
Landon invested $110 in an account paying an interest rate of 4.1% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest hundred dollars, would be in the account after 5 years?
Answer:
the amount after 5 years using compound continuously is $135.03
Step-by-step explanation:
The computation of the amount after 5 years using compound continuously is as follows
= Principal × e^(rate × time period)
= $110 × e^(4.2% × 5)
= $110 × 1.227525065
= $135.03
Hence, the amount after 5 years using compound continuously is $135.03
We simply applied the above formula so that the correct value could come
And, the same is to be considered
How many yards will the players have run ?? Please help
Answer:
125.3 yards
Step-by-step explanation:
He wants them to run the so 110^2+60^2 =which is 125.3.
Hope this helps plz mark brainliest :D
A stack of books weights 3.5 kilograms.About how many pounds is this.(Note : one pound is about 0.45 kilograms)
Answer:
7.8 pounds
Step-by-step explanation:
The relation between pounds and kilograms is proportional:
\(\dfrac{\text{books}}{3.5\text{ kg}}=\dfrac{1\text{ lb}}{0.45\text{ kg}}\qquad\text{pounds to kg proportion}\\\\\text{books}=\dfrac{(3.5\text{ kg})(1\text{ lb})}{0.45\text{ kg}}=\dfrac{3.5}{0.45}\text{ lb}\qquad\text{multiply by 3.5 kg}\\\\\boxed{\text{books}\approx7.8\text{ lb}}\)
The stack of books weighs about 7.8 pounds.
18) What is the slope of the line that contains points (–6, –6) and (–3, 1)?
The slope of the line is 7/9
How to determine the slope of the lineIt is important to note that the equation of a line is represented as;
y = mx + c
Where;
y is a point on the linem is the slope of the linex is a point on the x - axisc is the intercept of the y-axisThe formula for calculating the slope of a line is expressed as;
Slope, m = y₂ - y₁/x₂ - x₁
Now, let's substitute the values into the formula from the points given we have;
Slope, m =1 -(-6)/ -3 - (-6)
expand the bracket
Slope, m = 1 + 6/ 3 + 6
add the values
Slope, m = 7/9
Hence, the value is 7/9
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what's an isosceles triangle; triangle with 2 equal sides; area of isosceles triangle
The length of 2 sides and an angle between them is given A = ½ × b × c × sin(α) If two angles and the length between them is given A = For an isosceles right triangle A = ½ × a.
How big is an isosceles triangle?
If the height (i.e. the altitude) and base of an isosceles triangle are known, the area can be easily calculated. The area of the isosceles triangle is calculated by multiplying the height by the base and dividing by two. As a result, an isosceles triangle has two equal sides and two equal angles. The name is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.
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A man standing 24 feet from a building observes the angle of elevation of its top to be 38°. Find the height of the building to the nearest tenth.
Answer:
The height of the building is 18.8 feet to the nearest tenth
Step-by-step explanation:
Whenever an elevation problem is given the first step is to try to visualize a triangular path between the objects that are given in the problem.
In this case, we can form a triangular path between the man, the top of the building, and the ground.
The height of the building we are looking for will be the opposite side of the triangle because it is directly facing the angle: 38 degrees.
The distance 24 feet will be the adjacent side of the triangle because it is adjacent to that angle
We can use the Tan trigonometric relationship to find a relationship between the length of the sides of the triangle and the available angles.
\(tan 38 = height/24ft\)
\(height = 24 \times tan38 = 18.75ft\) approximately 18.8 ft
How would I do this?
Answer:
3 10
Step-by-step explanation:
match the base to the corresponding height
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The base and height are perpendicular to each other. In each case, there is only one figure having a labeled h segment perpendicular to the labeled b.
Name: Kadence Eling Date: 21-15-22 Hr. 1st Use a diagram to solve each of the problems below, marks English test had 90 questions and he got 18b wrong. what percent of questions did he get correct?
Answer:80%
Step-by-step explanation:
18/90 × 100%
=20%
he got 20% of the questions wrong
100% - 20% =80%
=>he got 80% of the questions correct
An investor has $100,000 to invest in three types of bonds: short-term, intermediate-term, and long-term.How much should she invest in each type to satisfy the given conditions? Short-term bonds pay 4% annually, intermediate-term bonds pay 5%, and long-term bonds pay 6%. The investor wishes to realize a total annual income of 5.1%, with equal amounts invested in short- and intermediate-term bonds.
Step-by-step explanation:
4/100*100000+5/100*100000+5.1/100*100000=14100
Which of the following sets of numbers could not represent the three sides of a right
triangle?
11, 60, 61}
{14, 48, 50
{46, 60, 75}
(39,80,89}
Answer: D
Step-by-step explanation: it equals 181
What is the measure of angle x? (1 point)
Question 7 options:
1) 10
2) 18
3) 20
4) 25
The product of apositive number
and itself is 3 1/6what is the
number
"
number?
The product of positive number with itself found as 361/36.
What is termed as the square number?The result of multiplying an integer by itself is recognized as its square number.Square numbers always have the digits 0, 1, 4, 5, 6, and 9 at the end. For instance, 25, 49, 81, 100, and so on are perfect square numbers, whereas 37, 48, 22, and so on are not.A square number always has an even number of zeros at the end. This means that if a number ends with an odd number of zeros, it is not a square number.For the stated question;
The given number is 3 1/6, which is in mixed fraction.
Write the number in proper fraction.
3 1/6 = 19/6
Squaring the number means, multiplying the number with itself.
(19/6)² = (19/6) × (19/6)
(19/6)² = 361/36
Thus, the product of positive number itself found as 361/36.
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Find the area of a circle shaped swimming pool with a diameter of 22 meters. Use 3.14 the area of the circle is approximately how many square meters
Answer: 379.94
Step-by-step explanation: To find the area of a circle, you do radius squared times pi. To find the radius, divide the diameter in half. So 22 divided by 2 is 11. 11 squared is 121. Then multiply 121 by 3.14. That equals to 379.94
Answer:
Step-by-step explanation:
379.74
70% of what number is 98? I need how you got that as well.
Answer:140
Step-by-step explanation:
70 percent (calculated percentage %) of what number equals 98? Answer: 140.
140=98/0.7
doing 98 divided by 0.7 tells you the opposite if your trying to find 70% of 98
Devon lives in a city an estimated population of 240,000people which statement about this population is true
Part D: There are more than 200,000 people in this city is the correct option
The population of the city in which Devon lives <=240000
Data interpretation: The process of examining data through some predetermined processes in order to give it some meaning and reach a pertinent conclusion is known as data interpretation. It entails using the outcomes of the data analysis to draw conclusions about the relationships that were looked at.
Part a:
According to this part, more than 300,000 people live in this city, which may be possible but we cannot be sure about it.
Part b:
According to this part more than 250,000 people live in the city, which may or may not be possible as we are sure only about 240,000 people
Part c:
According to this part, more than 245,000 people live in this city, which is again a may or may not be possible situation given the fact
Part d:
According to this part, more than 200,000 people live in the city. We are sure about this because it is estimated that 240,000 people live in the city. Hence this is the correct option
Although a part of your question is missing, you might refer to this full question: Devon lives in a city with an estimated population of 240,000 people. Which statement about this population is true?
A) There are more than 300,000 people in this city.
B) There are more than 250,000 people in this city.
C) There are more than 245,000 people in this city.
D) There are more than 200,000 people in this city
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Which of these is the note A?
A.
OB.
O C.
O D.
Co
6.
fo
Answer:
the correct answer is A
Step-by-step explanation:
A correspond to Note La
A soft drink costs $1.65 and each refill for the drink costs $0.95. If you have $4.50, how many refills can you purchase?
Answer: 3 refills
Step-by-step explanation:
$1.65 + 0.95 + 0.95 + 0.95 = $4.50
Solve for the following matrix equation
[a-b b+c]=[8 1]
Answer:
Step-by-step explanation:
Not enough info to solve this.
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
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if a coin is flipped 35 times and lands on heads 21 times what is the relative frequency of Landing on heads
Work Shown:
21/35 = (7*3)/(7*5) = 3/5
Jillian picked coins from her piggy bank and recorded the number of coins in the table below.
Based on the results shown in the table, what is the probability that the coin Jillian picks will be a quarter
Answer:
1/8
Step-by-step explanation:
There are 24 coins total. 3 of them are quarters. So Jillian has a 3 in 24 chance of picking up a quarter. Simplifying 3/24 we get 1/8
The probability of randomly picking a quarter is P = 0.125
How to get the probability?
If we assume that all the coins have the same probability of being randomly picked, the probability of picking a particular type of coin is equal to the quotient between the number of coins of that type that we have, and the total number of coins.
In this case, we have 3 quarters, and a total of:
T = (6 + 7 + 8 + 3) = 24
Then the probability of randomly picking a quarter is:
P = 3/24 = 0.125
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