Answer:
120m²
Step-by-step explanation:
Let the side be x
perimeter of a rhombus=
4*side=4x=52m
x=52/4= 13m (dividing both sides by x)
We know that the diagonals of a rhombus bisect each other at right angles.
Let the intersecting point of diagonals be O.
Consider triangle AOB
OA=24/2=12m
OB=√(AB²-OA²)=√(13²-12²)
=√(169-144)=√25=5m
Then length of other diagonal
BD=2*OB=2*5=10m
Area of the rhombus
=1/2*AC*BD=1/2*24*10=120m²
A company claims that the number of defective items manufactured during each run of making 100 of their products is independent of the number from other runs and that the proportion of defectives is not more than 4%, Assuming that the proportion of defectives of each runis 4%, which statement (s) is (are) true to determine whether x=10 is unusually a high number of defective items on the next run of 100 products?
The statements that are true to determine whether x=10 is unusually high number of defective items on the next run of 100 products are given by the following option:
I and III.
What are unusually high measures in the binomial distribution?Unusual values in the normal distribution are found using the range rule of thumb, which states that if a value is more than two standard deviations from the mean, the measure is unusual.
The measures for the binomial distribution are given as follows:
E(X) = np.S(X) = sqrt(np(1 - p)).The parameters for this problem are given as follows:
n = 100, p = 0.04.
Then the mean and the standard deviation are given as follows:
Mean: 4.Standard deviation: 1.96.Thus the upper bound for usual values is of:
4 + 2 x 1.96 = 7.92.
Which is less than 10, hence 10 is an unusual measure and statement I is correct.
Statement III is also correct, as:
P(X >= 10) < 0.05.
While statement II is false, as we do not look at the exact measure, but an interval of measures.
Missing InformationThe problem is given by the image shown at the end of the answer.
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Carter can bake 11 cookies with each scoop of flour. With 4 scoops of flour, how many cookies can Carter bake?
Answer:
44 cookies
Step-by-step explanation:
1 scoop = 11 cookies
11 cookies * 4 scoops = 44 cookies
A bike has been marked up by 15%. If its original price was $300, what is the selling price?
Answer:
$345
Step-by-step explanation:
Cp= $300
MP= 115%×$300
=$345
What is the slope of the line in this graph?
please help my grade is on the line rn I think it's either 5/7 or 7/5
Help please I don’t understand this
Answer:
c
Step-by-step explanation:
In circle I, IJ=4 and mJIK∠=90∘ Find the area of shaded sector. Express your answer as a fraction times π.
The area of the shaded sector is 4π square units.
To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.
Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.
Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.
The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.
Plugging in the values, we have A = (90/360) * π * 4².
Simplifying, A = (1/4) * π * 16.
Further simplifying, A = (1/4) * π * 16.
Canceling out the common factors, A = π * 4.
Hence, the area of the shaded sector is 4π square units.
Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.
In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.
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Matt is 54 3/ inches tall. Nancy is 1 3/8 inches taller than Matt and Jane is 1 1/5
inches taller than Nancy. How tall is Jane?
Jane is 8 13/40 inches tall
Given the following:
Height of Matt = 5 3/4 in = 23/4 inIf Nancy is 1 3/8 inches taller than Matt, hence;
Height of Nancy = 23/4 + 11/8 = 46+11/8 Height of Nancy = 57/8 inif Jane is 1 1/5 inches taller than Nancy, then the height of Jane will be;
Height of Jane = 57/8 + 6/5Height of Jane = 285+48/40Height of Jane = 333/40 = 8 13/40 inchesHence Jane is 8 13/40 inches tall
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30 POINTS an object with a mass of 5kg accelerates 5m/s(2) when an unknown force is applied to it. what is the amount of force ?! ( use unit of measure ). 30 POINTS
Answer:
25 N
Step-by-step explanation:
Classifying Triangles Maze! Directions: Glven each set of side lengths, determine if the triangle is acute. obluse, night, or not a triangle. Use your solutions to navigate through the moze End! Start! Acute 6,10,17 Obtuse 26, 28, 38 Nota a 10, 17, 23 Obtuse Not a Right Not a A Obtuse Acute Right 13, 18, 29 Not a A 9,13, 20 Acute 15,19,25 Not A 4, 11, 13 Acute Right Obtuse Not a A Right Acute Obtuse 16,16, 22 Nota A 4,7,8 Acute 20, 21, 29 Obtuse 3,16,25 Obtuse Obtuse Right Not a Δ Not a Acute Not a A 5, 16, 24 Acute 19,24,39 Right 9,40,41 Obtuse 12, 35, 37 Right Not a A Acute Not a A Acute Right Acute 7,34,45 Not a 4,13,16 Right 23, 30, 37 Obtuse 14, 21, 37 on 1 Gino Won A Things Algebra LLC. 2016
Classifying triangles maze's path formed from the starting point is 3 - 10 - 17, 9 - 13 - 20, 4 - 7 - 8, 20 - 21 - 29, 15 - 19 - 25, 26 - 28 - 38, 4 - 11 - 13, 3 - 16 - 25, 12 - 35 - 37, 23 - 30 - 37, 9 - 40 - 41, 19 - 24 - 39, 16 - 16 - 22, and 13 - 18 - 29.
The full question is in the attachment. According to the Pythagorean theorem if there are three sides a, b, and c, where a ≤ b < c
a² + b² < c² an obtuse triangle is formeda² + b² = c² a right triangle is formeda² + b² > c² an acute triangle is formedBut if a + b < c then a triangle cannot be formed
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Find the twelfth term in a sequence whose general term is given by an = 5n– 9.
Answer:
51
Step-by-step explanation:
N means that numbered term. If n is 1 then you are getting the first term, and so on.
So for the 12th term, n=12.
5(12)-9 = 60-9 = 51
Answer:
51
Step-by-step explanation:
please mark me as brainliest!!
Pleaseeee helpppppppp
Answer:
See below
Step-by-step explanation:
Since the side length are proportional, the figures are similar. Helping in the name of Jesus.
help me plssssssssssssss
Answer:
D
Step-by-step explanation:
3/4 × 2/6 = 1/4
3/4÷6/2=1/4
Which of the following sets of values has the greatest
variability?
Group of answer choices
A) 1, 4, 7, 9, 11
B) 2, 2, 3, 3, 4
C) 7, 7, 8, 9, 9
D) 2, 3, 5, 7, 8
answer this question step by step
I hope this help you
The weight of the items in a truck is ton.
How many pounds do the items in the
truck weigh?
Frugala is pleased when Sylvester puts $2000 into 10-year state bonds and $3000 into 5-year AAA rated bonds in steady hardware, inc. He buys the four state bonds at a 5% coupon rate and the three steady hand bonds at a 6.5% rate. Sylvester also buys two $500 bonds from a high tech firm at 7%, due in three years, at a total discount of $50.
1. What is the maturity of each of the three bond groups Sylvester buys?
2. What are the coupon rates?
3. What are the par values?
4. Which of Sylvester’s new investments are municipal bonds?
5. Which ones are corporate bonds?
6. For which bond purchase did Sylvester probably consult Standard & Poor?
State, AAA rated and High tech firm bonds have maturity of 10years, 5years and 3 years respectively.
Understanding Bonds and their MaturityBond is a financial instrument that represents a debt obligation. When you purchase a bond, you are essentially lending money to the issuer (which can be a government, corporation, or other entity) in exchange for regular interest payments and the repayment of the principal amount at a specified future date, known as the maturity date.
1. Maturity of Each Bond Group:
- State bonds: The state bonds have a maturity of 10 years.
- AAA rated bonds: The AAA rated bonds have a maturity of 5 years.
- High tech firm bonds: The high tech firm bonds have a maturity of 3 years.
2. Coupon Rates:
- State bonds: The state bonds have a 5% coupon rate.
- AAA rated bonds: The AAA rated bonds have a 6.5% coupon rate.
- High tech firm bonds: The coupon rate is not provided for the high tech firm bonds.
3. Par Values:
- State bonds: The par value of each state bond is not mentioned.
- AAA rated bonds: The par value of each AAA rated bond is not mentioned.
- High tech firm bonds: The par value of each high tech firm bond is $500.
4. Municipal Bonds:
Based on the given information, there is no mention of Sylvester purchasing any municipal bonds. Therefore, none of Sylvester's new investments are municipal bonds.
5. Corporate Bonds:
- High tech firm bonds: The high tech firm bonds are issued by a high tech firm, which indicates that they are corporate bonds.
6. Standard & Poor's Consultation:
From the information provided, there is no specific indication as to which bond purchase Sylvester consulted Standard & Poor's for.
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11. Ryan and Kathy each drew a triangle with an angle of 20 degrees. Under which condition would the
triangles be similar?
a) if both are right triangles
c) if the triangles have the same area
b) if both are obtuse triangles
d) if the triangles have the same perimeter
Answer:
a if both are right triangle
Step-by-step explanation:
if both are right triangles is the correct answer. Three sides and three angles together create a triangle. Here, Ryan and Kathy drew triangles with the same angle. We can say that two triangles are similarly based on certain rules.Ma
en una tienda de ropa, la semana pasada, 3 pantalones y 2 abrigos costaban 245€. Esta semana estos artículos tienen un descuento del 20% y 5% respectivamente. Si ahora un pantalón y un abrigo cuestan 100,75€, ¿qué costaba cada artículo antes de la rebaja?
Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37
How to find the original cost?
Let's define the variables:
x = cost of a pant
y = cost of a coat.
First, we know that:
3x + 2y = 245
And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:
0.8x + 0.95y = 100.75
Then we have a system of equations:
3x + 2y = 245
0.8x + 0.95y = 100.75
We can isolate x on the second equation to get:
x = (100.75 - 0.96y)/0.8
x = 125.9 - 1.2y
Replace that in the other equation:
3*(125.9 - 1.2y) + 2y = 245
Solving for y:
3*125.9 - 3*1.2y + 2y = 245
y*(2 - 3*1.2) = 245 - 3*125.9
y = (245 - 3*125.9)/(2 - 3*1.2)
y = 82.94
Then the value of x is:
x = 125.9 - 1.2*82.94
x = 26.37
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all human blood can be typed as o, a, b or ab. these are the probabilities of human blood types in the united states: blood type o a b ab probability 0.30 ? 0.10 0.05 a person in the united states is chosen at random. what is the probability of the person having blood type a?
The probability of the person having blood type a is 0.55.
Define Probability
Probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.Statistics is the study of events that follow a probability distribution.
Given,
Blood type 'o' = 0.30
Blood type 'a' = ?
Blood type 'b' = 0.10
Blood type 'ab' = 0.05
find, the probability of the blood type 'a'
Probability(person having blood type a) = 1 - 0.30 - 0.10 - 0.05
= 0.55
Hence, The probability of the person having blood type a is 0.55.
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**who can help me**
Answer:
.
Step-by-step explanation:
The curve through the ordered pairs (0, 10), (1, 5), and (2, 2.5) can be represented by the function f(x) = 10(0.5). What
is the multiplicative rate of change of the function?
The multiplicative rate of change of the exponential function is 0.5.
How to analyze an exponential function
In this problem we have three that are part of a exponential function, whose form is shown below:
\(y = a\cdot r^{x}\) (1)
Where:
a - Initial valuer - Rate of changeWe notice that for Δx = 1, the value of y is halved. Hence, the multiplicative rate of change of the exponential function is 0.5.
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The length of a
rectangular garden is
three feet less than twice
its width. If the perimeter
of the garden is 42 feet,
what is its length?
Systems word problems
Answer:
The length will be 13 feet.
Step-by-step explanation:
Let the width be represented by w.
Based on the information given, the length will be:
= (2 × w) - 3
= 2w - 3
Therefore, the perimeter will be:
2(w) + 2(2w - 3) = 42
2w + 4w - 6 = 42
6w = 42 + 6
6w = 48
w = 48/6
w = 8
Therefore, the length will be:
L = 2w - 3
L = 2(8) - 3
L = 16 - 3
L = 13 feet
The length is 13 feet.
Answer:
The length will be 13 feet.
Step-by-step explanation:
Let the width be represented by w.
Based on the information given, the length will be:
= (2 × w) - 3
= 2w - 3
Therefore, the perimeter will be:
2(w) + 2(2w - 3) = 42
2w + 4w - 6 = 42
6w = 42 + 6
6w = 48
w = 48/6
w = 8
Therefore, the length will be:
L = 2w - 3
L = 2(8) - 3
L = 16 - 3
L = 13 feet
The length is 13 feet.
David requires at least $250 to hold his birthday party.If David can save $43 by the end of each month, how many months will he need to save to be able to affords his party?
a.Write an inequality that describes this situation.
b.Solve ye inequality. SHOW ALL YOUR WORK
c.write you answer in a complete sentence
Part a
x = number of months
43x = amount saved at $43 per month
43x ≥ 250 is the inequality
===============================================
Part b
43x ≥ 250
43x/43 ≥ 250/43
x ≥ 5.81395 approximately
Since x is a positive integer, the value 5.81395 rounds to 6
So it would be x ≥ 6
================================================
Part c
He needs 6 months to be able to save at least $250.
Five months gets him 43x = 43*5 = 215 which is 35 dollars short of the goal of 250.
But 6 months gets him 43x = 43*6 = 258 which is 8 dollars over the goal of 250.
In right triangle ABC, ∠A is a right angle and sinC=15/17. What is the ratio cos C?
Answer:
8/17Step-by-step explanation:
From the triangle, given sin C=15/17 we will use the trigonometry identity to get the ratio of cosC. Using the SOH CAH TOA identity;
sinC = opp/hyp = 15/17
opposite = 15
hypotenuse = 17
According to pythagoras theorem;
hyp² = opp²+adj²
17² = 15² + adj²
adj²= 17²-15²
adj = √64
adj = 8
Since cosC = adj/hyp
cosC = 8/17
The ratio of cos is 8/17
Solve the equation. -3(-7-x)=1/2(x+2).
Answer:
x=-8
Step-by-step explanation:
Ayo fam, can I get a little help here
Answer:
1,2,3 have to equal 180 so 90+50 = 140 and 180 subtract 140 = 40 degrees for 1. 3 and 6 are the same and 1 and 4 are the same 4 is 40degrees
For the consumption function C=20+ 2/3 y
a. Find the breakeven income level. b. Find the consumption expenditure at income levels of 40 and 80 . (In this exercise, assume C and Y are measured in thousands of dollars). c. Show the answers to a. and b. graphically and identify the ranges of income corresponding to dissaving and saving.
a. The breakeven income level occurs when consumption (C) equals income (Y). So, we can set C equal to Y and solve for Y:
C = Y
20 + (2/3)Y = Y
To isolate Y, we can subtract (2/3)Y from both sides:
20 = (1/3)Y
Next, multiply both sides by 3 to solve for Y:
60 = Y
Therefore, the breakeven income level is $60,000.
b. To find the consumption expenditure at income levels of $40,000 and $80,000, we can substitute these values into the consumption function:
For Y = 40:
C = 20 + (2/3)(40)
C = 20 + 80/3
C = 20 + 26.67
C = 46.67
So, the consumption expenditure at an income level of $40,000 is approximately $46,670.
For Y = 80:
C = 20 + (2/3)(80)
C = 20 + 160/3
C = 20 + 53.33
C = 73.33
Therefore, the consumption expenditure at an income level of $80,000 is approximately $73,330.
c. Graphically, we can plot the consumption function C = 20 + (2/3)Y, where C is on the vertical axis and Y is on the horizontal axis. We can mark the breakeven income level of $60,000, as well as the consumption expenditures at $40,000 and $80,000.
The graph will show a linear relationship between C and Y, with a positive slope of 2/3. The consumption function intersects the 45-degree line (where C = Y) at the breakeven income level. For income levels below $60,000, consumption will be less than income, indicating saving (dissaving) depending on the value of C. For income levels above $60,000, consumption will exceed income, indicating saving.
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A scuba diver descends 120 feet underwater in 5 minutes. What is the scuba diver's rate?
The scuba diver's rate is 24 feet per minute.
What is Rate of change?A rate of change is a rate that describes how one quantity changes in relation to another quantity.
Here, total distance covered underwater = 120 feet.
total time taken = 5 minutes.
Rate change = Distance covered / Time taken
= 120 / 5
= 24 ft per minute.
Thus, The scuba diver's rate is 24 feet per minute.
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2. 5x + 7 + 2x
Is the answer 45x?
Answer:
Step-by-step explanation:
5x+2x+7=7x+7
No it is not
5x+7+2x
5x + 7x are like terms add them
7x + 7 is the answer
HELP ME ASAP PLEASE!!
Answer:
x>1
Step-by-step explanation:
Make a line put number like
__________|____________________
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10