The angles inside a trapezoid add up to equal 360 degrees
X = 360-90-90-75 = 105 degrees.
B
68°
A
E
D
EB
15. What is the length of CD? (Use 3.14 for $7)
a
31.68
b
29.31
23.14
17.79
Answer:
b = 29.31
Step-by-step explanation:
Given:
m<CEB = 68°
EB = radius = 15
Required:
Length of arc CD
Solution:
Length of arc CD = θ/360 × 2πr
Where,
θ = 180° - 68° = 112° (angles on a straight line)
π = 3.14
r = radius = 15
Plug in the values
Length of arc CD = 112/360 × 2 × 3.14 × 15
= 29.3066667
≈ 29.31
Joe's final exam has true/false questions, worth 2 points each, and multiple choice questions, worth 5 points each. Let x be the number of true/false
he gets correct, and let y be the number of multiple choice questions he gets correct.
He needs more than 90 points on the exam to get an A in the class. Using the values and variables given, write an inequality describing this.
This is the inequality
2x + 5y ≥ 90
a firm has ebit of 1,000,000 and depreciation expense of 400,000. fixed charges total 600,000. interest expense totals 70,000. what is the firm cash coverage ratio.
Answer:
The firm's fixed-charge coverage ratio is 7.89 times
Explanation:
Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.
The formula to compute the fixed charge coverage ratio is shown below:
= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)
= ($400,000 + $50,000) ÷ ($50,000 + $7,000)
= $450,000 ÷ $57,000
= 7.89 times
The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.
Hence, the firm's fixed-charge coverage ratio is 7.89 times
Intelligence Quotient (IQ) scores are often reported to be normally distributed with μ=100.0 and σ=15.0. A random sample of 51 people is taken. Step 1 of 2 : What is the probability of a random person on the street having an IQ score of less than 98? Round your answer to 4 decimal places, if necessary.
Answer:
0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
What is the probability of a random person on the street having an IQ score of less than 98?
This is the pvalue of Z when X = 98. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{98 - 100}{15}[/tex]
[tex]Z = -0.1333[/tex]
[tex]Z = -0.1333[/tex] has a pvalue of 0.4470
0.4470 = 44.70% probability of a random person on the street having an IQ score of less than 98.
The authors of a paper studied a random sample of 350 Twitter users. For each Twitter user in the sample, the "tweets" sent during a particular time period were analyzed and the Twitter user was classified into one of the following categories based on the type of messages they usually sent.
Category Description
IS Information sharing
OC Opinions and complaints
RT Random thoughts
ME Me now (what I am doing now)
O Other
The accompanying table gives the observed counts for the five categories (approximate values read from a graph in the paper).
Twitter Type IS OC RT ME O
Observed count 50 61 64 102 73
Required:
Carry out a hypothesis test to determine if there is convincing evidence that the proportions of Twitter users falling into each of the five categories are not all the same. Use a significance level of 0.05.
Answer:
The null hypothesis is rejected.
Step-by-step explanation:
Assuming the proportions in each of the categories is the same which is 1/5 = 0.20.
H0: p1 = p2 = p3 = p4 = p5 = 0.2
Ha: H0 is not true.
The table is as below:
Twitter Type: Observed Count p E=350*p (O-E)^2/E
IS 50 0.2 70 5.7143
OC 61 0.2 70 1.1571
RT 64 0.2 70 0.5143
ME 102 0.2 70 14.6285
O 73 0.2 70 0.1286
-----------------------------------------------------------------------------------------------
Total 22.1428
The test statistic [tex]\chi^2[/tex] is 22.1421
The degree of freedom d is n-1=5-1 =4
The corresponding p-value from the chi-squared table is .000188.
As this value is less than the p-value for the H0 thus we reject the null hypothesis.
If ZP and ZQ are complementary angles,
mZP = 7x + 3, and mZQ = 16x – 5, find mZP.
A. 31°
B. 34°
C. 56
D. 59°
Is 3/4 closer to 0 or 1?
Answer:
It is closer to 1
Step-by-step explanation:
3/4 is 1/4 away from 1, whereas 0 is 3/4 away from 3/4. So, 1 is closer.
The fraction 3/4 is closer to 1.
We have,
To determine whether the fraction 3/4 is closer to 0 or 1, we can compare the distances between 3/4 and 0, and between 3/4 and 1.
The distance between 3/4 and 0 is 3/4.
The absolute value of the difference is |3/4 - 0| = 3/4.
The distance between 3/4 and 1 is 1 - 3/4 = 1/4.
Since the distance between 3/4 and 1/4 (which is 1/4) is smaller than the distance between 3/4 and 0 (which is 3/4), we can conclude that 3/4 is closer to 1 than to 0.
In other words, if we were to plot the fractions 0, 3/4, and 1 on a number line, the distance between 3/4 and 1 would be smaller than the distance between 3/4 and 0.
Therefore,
The fraction 3/4 is closer to 1.
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pls help asap, ill give brainiest
The answer is D
If this helped a brainliest would be appreciated!
FH and IK are parallel lines.
Which angles are vertical angles?
Answer:
LJ and GE
Step-by-step explanation:
Answer:
Angles IJG and KJL are vertical angles
Step-by-step explanation:
Vertical angles are formed when two lines intersect. It's a terrible name for them, because the name has nothing to do with the common word "vertica" (up-and-down).
The attached image shows an example of a pair of vertical angles. Another pair is angles AED and CEB.
What is the answer please I need help
Answer:
+ 3 , is correct answer
hope it helps
Answer:
+3
Step-by-step explanation:
as we divide 27 by (-3) then the answer will (-9) and similarly next one but the sign will change
(9-6i) x m = 9 - 6i
What is m?
0
1
9+6i
-9+61
Answer:
1
Step-by-step explanation:
it should be 1. I believe this is the identity property.
What is the PERIMETER of this green rectangle? 3 in. 7in
Answer:
20 in
Step-by-step explanation:
Please help me ASAP please
Answer:
Equation: 45 - 21 = s
The second answer is 24.
You can check by adding 24 + 21 which is 45.
Computer software generated 500 random numbers that should look like they are from the uniform distribution on the interval 0 to 1. They are categorized into five groups:
1. less than or equal to 0.2
2. greater than 0.2 and less than or equal to 0.4
3. greater than 0.4 and less than or equal to 0.6
4. greater than 0.6 and less than or equal to 0.8
5. greater than 0.8.
The counts in the five groups are 113, 95, 108, 99, and 85, respectively. The probabilities for these five intervals are all the same. What is this probability? Compute the expected number for each interval for a sample of 500. Finally, perform the goodness of fit test and summarize your results.
Answer:
0.2 ; 100 ; 4.84
Step-by-step explanation:
Given that the probability of each of the 5 groups is the same :
Sum of probability = 1
Hence, Probability of each group = 1 / number of groups = 1 / 5 = 0.2
Expected number for each interval for a sample of 500 : ; X = 500
E(X) = X * P(x) = 500 * 0.2 = 100
Goodness of fit (X²) :
X² = Σ(X - E)² ÷ E
Groups :
113, 95, 108, 99, and 85
X : 113 ____ 95 ____ 108 ____ 99 _____ 85
(113 - 100)^2 / 100 = 1.69
(95 - 100)^2 / 100 = 0.25
(108 - 100)^2 / 100 = 0.64
(99 - 100)^2 / 100 = 0.01
(85 - 100)^2 / 100 = 2.25
(1.69 + 0.25 + 0.64 + 0.01 + 2.25) = 4.84
At WMS, 3 out of 4 students ride a bus to school. There are 600 students at WMS. How many students ride the bus?
Answer:
450 students
Step-by-step explanation:
austin bought a new car for $35,000. the car decreases in value 4% every year. how many years will it take for the cars value to be $20,000?
Answer:
2 years
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Could any kind person help me with this equation please
M’ (-4, 7)
N’ (0, 5)
P’ (2, 0)
Q’ (-2, 1)
you basically change the x and y values by the value it says so you'd subtract 4 from x (the first number) and add 1 to y (the second number)
Which equation will create a system of equations with infinitely many solutions?
A) 3x - y=5
B) -3x +y=5
C) 12x + 4y = 20
D) 12x - 4y= 20
Answer:
A and D
Step-by-step explanation:
for infinitely many solutions, ratio of coefficients should be equal.
since ratio = 1/4 so they will have infinitely many solutions.
14. Classify the figure below. Identify how many faces, vertices, and edges.
Answer:
5 faces
8 edges
5 vertices
what is the measure of angle a enter your answer as a decimal in the box round only your final answer to the nearest hundredth
ANSWER.
The measure of angle A is 53.13°.
STEP BY STEP
Given,
ABC is a triangle,
In which m∠CBA = 90°, AB = 3 cm, BC = 4 cm and CA = 5 cm,
By the law of sine,
( By cross multiplication )
By substituting the values,
( sin 90° = 1 )
Hence, the measure of angle A is 53.13°.
F(x)=3x and g(x)=x+2 find fog(x),gof(x),fog(2),gof(2)
Answer:
Step-by-step explanation:
fog(x)=f(g(x)) =f(x+2) =3⋅(x+2) =3x+6
gof(x)=g(f(x))=g(3x) =3x+2
gof(2)=3⋅2+2 =6+2 =8
fog(2)=3⋅(2+2) =3*2+6=12
A car is driving at 40 kilometers per hour. How far, in meters, does it travel in 2 seconds?
Answer:
i think its 22.22 thats my guess
Answer:
[tex]\frac{1}{45}[/tex] kilometers
Step-by-step explanation:
60 minutes = 3600 seconds
[tex]\frac{40}{3600} =\frac{y}{2}[/tex]
3600y = 80
3600y ÷ 3600 = 80 ÷ 3600
[tex]y=\frac{1}{45}[/tex]
Micah is flying a kite and has used all of the 50 meters of the string. If the kite is 13 meters above the ground, what is the angle of elevation that
the boy has when looking up at the kite?
Sketch a picture and solve. Round to the nearest degree.
ILL MARK YOU THE BRANLIEST ANSWER IF YOU ANSWER FAST PLEASE
Answer:
37
Step-by-step explanation:
I believe you subtract the meters to the meters above the ground
What is the value of x and why
Answer:
x = 7.5
Step-by-step explanation:
If two scants are drawn from a point outside the circle then the product of one secant and its external segment is equal to the product of other secant and its external segment.
By applying this property in the picture attached,
OB × OA = OC × OD
(6 + 3)6 = (12 - x)12
54 = 144 - 12x
12x = 144 - 54
12x = 90
x = 7.5
Which rational number is the opposite of 1.7? Select all that apply.
-1 7/10
-1.7
1 7/10
Answer:
-1 7/10 and -1.7
Step-by-step explanation:
Select the values that make the inequality -n< −4 true. Then write an equalivalent inequality, in terms of nn. (Numbers written in order from least to greatest going across.)
values: -9 -5 -4.1 -4 -3.9 -3 -1 0 1 3 3.9 4 4.1 5 and 9
Answer:
values that make the inequality true would be any absolute number that is bigger than 4
so that would be n>5
Step-by-step explanation:
What is the volume of a hemisphere with a radius of 3.6 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
97.7
Step-by-step explanation:
Alisa has $6.27. She has to give that value to a florist using only coins. How would she do it, using the least number of coins.
If a•b=b, what must the value of a be?
Answer: I think f
Step-by-step explanation:
The value of a must be 1 in order for the equation to hold true .
If a * b = b, we can find the value of a by isolating it on one side of the equation .
Given that a * b = b, we can divide both sides of the equation by b :
( a * b ) / b = b / b
This equation simplifies to form :
a = 1
For a = 1 the equation is true .
Therefore, the value of a must be 1 in order for the equation to hold true .
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Write an integer to represent the price of a stock dropping $3
Answer:
-3
Step-by-step explanation:
The integer which represents the price of a stock dropping $3 is ''-3''.
Here,
The price of a stock dropping is $3.
We have to show this number in form of integer.
What is Integers?
An integer is a whole number that can be positive, negative or zero.
Now,
The price of a stock dropping is $3.
Since, the price of a stock is drop,
Hence, it represents by ''- 3''
So, The integer which represents the price of a stock dropping $3 is ''-3''.
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