25. The degree measure of angle ABC is A. 111 2⁄3°.
26. The perimeter of triangle DEF is not provided in the given options.
27. The probability of drawing a 7 and an ace in that order is D. 4/663.
25. In the given figure, we have angle ABC = 2x + 5° and
angle CBD = x + 15°.
Since angle ABC and angle CBD are adjacent angles, their sum should be equal to 180° (forming a straight line).
Therefore, we can set up the equation:
(2x + 5°) + (x + 15°) = 180°.
Simplifying this equation, we get 3x + 20° = 180°.
Subtracting 20° from both sides gives us 3x = 160°. Dividing both sides by 3, we find x = 160° / 3.
Therefore, the degree measure of angle ABC is 2x + 5° = 2(160° / 3) + 5° = 320/3 + 5° = 335/3°. Hence, the answer is A. 111 2⁄3°.
26. In the given diagram, triangle ABC is similar to triangle DEF.
We know that corresponding sides of similar triangles are proportional. Therefore, we can set up the proportion:
AB/DE = BC/EF = AC/DF.
Substituting the given values, we have 12/DE = 12/EF = 6/8.
Simplifying this, we find DE = 8, EF = 8, and DF = 6.
The perimeter of triangle DEF is the sum of its side lengths: DE + EF + DF = 8 + 8 + 6 = 22.
27.There are 4 sevens and 4 aces in a standard deck of 52 cards. Therefore, the probability of drawing a 7 first is 4/52.
After drawing a 7, there are 51 cards remaining, and only 4 aces.
Hence, the probability of drawing an ace second, given that a 7 was drawn first, is 4/51.
To find the overall probability, we multiply the individual probabilities: (4/52) * (4/51) = 16/2652 = 4/663.
Hence, the answer is D. 4/663.
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A study was conducted on the educational level of patients with AIDS, it was asume that
with ten years of education will be in group A, between 10 and 20 group B and between 20
group C. After the analysis it was realized that group A had 100 persons while group B and C had 30 persons
(a) If you decide to select based on proportion of 10% from each group how many patien
selected from each group. Show your calculation.
(b) What name can be given to the classified groups?
(c) What method of sampling was employed in the selection process?
1. State and explain the three major data collection techniques.
What is a variable?
What is a Parameter?
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.
(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.
(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.
The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.
The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.
A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
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lender requires a minimum down payment of 18% of the value of the home. You have $29,000 cash available to use as a down payment toward a home. Determine the maximum home value that you can finance.
The maximum home value that can be financed is approximately $35,365.85.
Let's represent the maximum home value that can be financed by H.
If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.
Therefore, we have:
H × 82% = $29,000
Multiplying both sides by (1/82%), we get:
H = $29,000 / 82%
= $35,365.85
Hence, the maximum home value that can be financed is approximately $35,365.85.
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hi im doing homework i hate i-ready so yea can someone answer this please?
Weight of Omar after 4 weeks is 9.4375 pounds.
What is Unit Conversion?The same attribute is expressed using a unit conversion, but in a different unit of measurement.
For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometres, feet, or any other measurement unit instead of miles.
Given:
Weight of Omar at the time of birth = 8 pound 3 ounces
Weight gained by Omar in 4 weeks = 5 × 4 = 20 ounces
New weight of Omar
= (8 lb 3 ounces) + 20 ounces
= 8 lb + 23 oz
As, we know 16 ounces = 1 pound
23 ounces = 1.4375 pound
Now, total weight of Omar after 4 weeks = 8 lb + 23 oz
≈ 8 lb + (1.4375) lb
≈ 9.4375 pounds
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calculate the range, population variance, and population standard deviation for the following data set. if necessary, round to one more decimal place than the largest number of decimal places given in the data. 7,11,13,16,13,16,8,8,11,12
13 is the range, 17.0 is the population variance, and 4.1 is the population standard deviation.
What is standard deviation?Your dataset's average level of variability is represented by the standard deviation. It reveals, on average, how far away from the mean each value is. A low standard deviation indicates that values are frequently within a certain distance of the mean, whereas a high standard deviation indicates that values are frequently outside of this range.Standard deviation, which is the square root of the means of the squared departures from the arithmetic mean, is also known as root-mean square deviation. To quantify the risks associated with an investment product, standard deviation is employed in finance.The range of a collection of data is a measurement of its variability. It is the difference between a set of data's highest and lowest value.
Given ,
11,11,16,17,15,13,9,18,5,7
Highest value = 18
Lowest value = 5
Range = 18-5 = 13
The following formula works well for population variance:
Population Variance = Σ(x-mean)²/N
N is total element in the data = 10
x are the individual data
Calculating the mean is necessary before we can obtain the variance and standard deviation.
mean = Σfx/N
Mean = 122/10
Mean = 12.2
Variance = 170.16/10
Population variance = 17.016
Population variance ≈ 17.0 (to 1 d.p)
Population standard deviation = √Population Variance
Population standard deviation = √17.016 = 4.125
≈ 4.1 (to 1 d.p)
The complete question is:
Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 11,11,16,17,15,13,9,18,5,7
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A police department reported that approximately 5% of the alarm calls they get each day are real emergencies and not false alarms. If they receive 120 alarm calls in one day, about how many of them would be false alarms?
Answer:
6
Step-by-step explanation:
5% of 120 is 6.
Well, if 5% of them are real, that means 95% of the calls they get each day are false alarms.
If we set up our inequality and multiply (Which i'm assuming you know how to do) We would get 114. Therefore, 114 calls would be false alarms.
IS IT 60 CAN SOMEONE TELL DID I CLICK IT RIGHT ?
hi how have you been and i think u did get it right
Please help me thanks
Answer:
-75 and 75
Step-by-step explanation:
The two numbers chosen or plotted by them are:
-75 and 75
Step-by-step explanation:
It is given that Bernita and Derek each plot a number on a number line with the properties:
1. The two numbers they have plotted are unique or different.
2. Also there absolute value is same.
3. The sum of the absolute values of the numbers is 150.
We know that Absolute value of a positive number is a number itself and absolute value of a negative number is it's inverse.
So the two numbers that satisfy the above three properties are:
-75 and 75.
help me please. thank you if you do.
If a person travels 440 meters in 11 seconds, what is the average speed of the person?
Step-by-step explanation:
speed=distance÷time
A.V.S=440÷11=40m/s
hope it helps.. Please mark brainliest.
Answer:
40 m/s
Step-by-step explanation:
Find:
We are asked to find the unit rate, How many meters per 1 second?
Know:
440 meters in 11 seconds
Solve:
440 meters in 11 seconds
? meters in 1 second
440/11 = 40 meters per second
Answer:
The average speed of the person is 40 m/s
Annie took a simple interest loan out from her uncle for $929.73, she doesn't want to owe more than $3,689.21 after 3 years. What interest rate should she ask for?
Do not convert to decimal form. If you answer is 50.8%, type "50.8" not 0.508.
The interest rate she should ask for is 8. 4%
How to determine the rateThe formula for calculating simple interest is expressed as;
I = PRT/100
Where;
I is the simple interestP is the principal amountR is the interest rateT is the period of timeNow, substitute the values into the formula, we have;
$929.73 = $3,689.21 × R × 3/ 100
Multiply the numerator
$929.73 = $11, 067R/100
cross multiply, we have;
$11, 067R = $92,973
Divide both sides by the coefficient of R
R = $92,973/$11, 067
R = 8. 4%
Hence, the value is 8. 4%
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Jordan is working two summer jobs, making $6 per hour walking dogs and making $15 per hour clearing tables. In a given week, he can work a maximum of 11 total hours and must earn at least $120. If xx represents the number of hours walking dogs and yy represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
xx=5 and yy=6
Step-by-step explanation:
Hope it helps you
Regina have 3 bags of marbles. There are 25 marbles in each bag. She wants to put an equal number of marbles into 5 bags. Which expression would show how many marbles can go into each bag?
Answer:
(3×25)÷5=15
hope it helps you
please mark me as brainlist
Answer:
15
Step-by-step explanation:
first, you add all the marbles 25 x 3 = 75 then you divide by 5 which you get 15
PLESSS SOMEONE KNOW THIS
Answer:
D.
Step-by-step explanation:
Order of operation states that in order for the addition to be done first, it must be in a set of parenthesis. Then, 4 multiplied by the sum would mean the addition has to be done first. so, yeah.
Don't know if that helps. I hope it does. Have a great day
If a figure is a rectangle, it is a parallelogram.
P: a figure is a rectangle
Q: a figure is a parallelogram
which represents the inverse of this statement is the inverse true or false 
The inverse statement is false.
The inverse of the statement "If a figure is a rectangle, it is a parallelogram" would be:If a figure is not a rectangle, then it is not a parallelogram.To determine if the inverse is true or false, we need to evaluate its validity. In this case, the inverse statement is false. Just because a figure is not a rectangle does not mean it cannot be a parallelogram. There are other types of parallelograms, such as squares and rhombuses, that are not rectangles. Therefore, the inverse statement is false.For such more questions on inverse
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Which of the following equations does NOT have a soulution of x=o.5 ? 10x – 5 = -2x + 1
-2x + 6 = -6x + 8
-5x + 10 = x + 7
3x + 3 = -2x + 13
2. Higher Order Thinking A pound of guinea-pig pellets is about 3 cups of food. Each guinea pig eats cup of pellets a day. How many days will the pellets last? Explain. Poul DATA Food for Heidi's Guinea Pigs Food Weight Grass or hay Vegetables Pellets 40 ounces 15 ounces 5 pounds
Answer:
Step-by-step explanation:
noun
verb
preposition
adjective
interjection
adverb
In triangle ΔABC, ∠C is a right angle and CD is the altitude to AB . Find the measures of the angles of the ΔCBD and ΔCAD if: Chapter Reference a m∠A = 20°
Answer:
1. ∆CBD: ∠B = 70°; ∠BCD = 20°; ∠ BDC = 90°
2. ∆CDA: ∠ACD = 70°; ∠A = 20°; ∠ ADC = 90°
Step-by-step explanation:
1. ∆DBC
In ∆ABC
∠A + ∠B + ∠C = 180°
20° + ∠B + 90 ° = 180°
∠B + 110 ° = 180°
∠DBC = ∠B = 70°
In ∆CBD
∠BDC = 90°
∠B + ∠BCD + ∠CBD = 180°
70° + ∠BCD + 90 ° = 180°
∠BCD + 160° = 180°
BCD = 20°
2. ∆CAD
∠A + ∠ACD + ∠ADC = 180°
20° + ∠ACD + 90° = 180°
∠ACD + 110° = 180°
∠ACD = 70°
What is the solution to this equation?
6x +4= 4x– 2
X=
Answer:
-3
Step-by-step explanation:
Answer:
I'm not positive but i thank -3
Step-by-step explanation:
I might be rong
A coffee shop sells coffee to about 500 people every morning, but this can vary by as many as 60 people. On any given day, what are the maximum and minimum numbers of people expected to buy coffee?
Answer:
440 ≤ x ≤560
Step-by-step explanation:
|x−500|≤60Rewrite it as a compound inequality−60≤x−500≤60Solve for X by adding 500 to each side. -60+500≤x-500+500≤60+500Leaving you with 440≤x≤560Answer: The coffee shop is expected to serve a maximum of 560 customers and a minimum of 440 customers per morning.What is the sum of the rational expressions below?
2x-1
7x+x=2
X-2
OA. 9x²-5x+2
7x²-2
OB. 9x²-5x+2
7x²-14x
O C.
O D.
2x²-5x+2
7x²-14x
3x-1
8x-2
Answer:
C
Step-by-step explanation:
To find the sum of the rational expressions, we need to add the two expressions and simplify if possible:
(2x-1)/(7x+x+2) + (x-2)/(8x-2)
Simplifying the denominators, we get:
(2x-1)/(8x+2) + (x-2)/(8x-2)
Now, we need to find the LCD, which is (8x+2)(8x-2) = 64x²-4:
[(2x-1)(8x-2) + (x-2)(8x+2)] / (64x²-4)
Simplifying the numerator, we get:
[16x²-4x-16x+4+8x²-2x+16x-4] / (64x²-4)
Combining like terms, we get:
(24x²-2) / (64x²-4)
Factoring out a 2 from the numerator and denominator, we get:
2(12x²-1) / 2(32x²-2)
Simplifying further, we get:
(12x²-1) / (16x²-1)
Therefore, the sum of the rational expressions is:
12x²-1
-----------
16x²-1
So, the answer is option C.
Lines a, b, c, and d Intersect as shown.
124
95
42°
53
39°
95°
What is x ?
Answer:
95 is the answer I took the test
Andrew drew 20 drawings and 90 pictures how many times did he draw and painted
Answer:
110
Step-by-step explanation:
90 + 10
Use mental math to solve the proportion. 25 over 40 equals 5 over t
Answer:
t = 8
Step-by-step explanation:
create the proportion
\(\frac{25}{40} =\frac{5}{t}\)
\(\frac{25}{40}\) simplifies down to \(\frac{5}{8}\)
t = 8
Answer:
8
Step-by-step explanation:
25/40=5/t
0.625=5/t
0.625*t=5
(0.625*t)/0.625=5/0.625
t=8
What is x, the length of the diagonal, to the nearest
whole number?
O 16
O 18
O 19
O 21
The value of x, the length of the diagonal, to the nearest whole number is 5
To get the value of x from the given diagram, we will use the cosine rule as shown:
c² = a² + b² - 2ab cos Ф
From the given diagram;
a = 6
b = 4
Ф = 55 degrees
Substitute into the formula
c² = 6² + 4² - 2(4)(6)cos 55
c² = 36 + 16 - 48cos55
c² = 52 - 27.53
c² = 24.4
c = 4.94
c = 5 (to the nearest while number).
The value of x, the length of the diagonal, to the nearest whole number is 5
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Answer
A, x=16
Step-by-step explanation: edg 2022
A marketing research company desires to know the mean consumption of meat per week among males over age 26. They believe that the meat consumption has a mean of 3.7 pounds, and want to construct a 80% confidence interval with a maximum error of 0.09 pounds. Assuming a standard deviation of 1.4 pounds, what is the minimum number of males over age 26 they must include in their sample
Answer:
80% confidence interval with Maximum error is
(3.61, 3.79)
Step-by-step explanation:
Explanation
Given the mean of the sample ( x⁻) = 3.7
The maximum error = 0.09
80% confidence interval is determined by
\((x^{-} - Z_{0.80} \frac{S.D}{\sqrt{n} } , x^{-} +Z_{0.80} \frac{S.D}{\sqrt{n} })\)
( x⁻ - M.E , x⁻ + M.E)
( 3.7 - 0.09 , 3.7 +0.09)
(3.61 , 3.79)
Final answer:-
80% confidence interval with Maximum error is
(3.61, 3.79)
HEELLLLLLLLLLLLLLLLPPPPPPPPPPP PLZZZZZZZZZ!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
x = 21
Step-by-step explanation:
equation:
⇒ 44 + 6x + 10 = 180
add like terms:
⇒ 44 + 6x + 10 = 180
⇒ 54 + 6x = 180
subtract 54 on both sides
⇒ 54 - 54 + 6x = 180 - 54
⇒ 6x = 126
divide 6 on both sides
⇒ \(\frac{6x}{6} = \frac{126}{6}\)
⇒ x = 21
to check:
44 + (6x + 10) = 180
44 + (6 x 21 + 10) = 180
44 + 136 = 180
180 = 180
what is the reciprocal for 4/9
Answer: 9/4
Step-by-step explanation:
Reciprocal means flip the fraction
The reciprocal of 4/9 is 9/4
Answer: the rciprocal is 9/4
Step-by-step explanation:
Please help me with my math
The sum of two real numbers is 8 and their product is 14. What is the sum of their reciprocals?
Answer:
Step-by-step explanation:Let our two numbers be a and b . Then we can see that a+b=8 and ab=15 . Now consider
(a+b)3=a3+3a2b+3ab2+b3 by the binomial expansion. Now we have all the information to solve this, observe since a+b=8 and ab=15 . We have
(8)3=a3+3ab(a)+3ab(b)+b3
a3+b3+3ab(a)+3ab(b)=83
a3+b3+3ab(a+b)=83
a3+b3=83−3ab(a+b)
a3+b3=83−3(15)(8)=512−360=152
You can also observe that 3 and 5 fulfill those conditions so, then 33+53=27+125=152 . Which is our result.
two people are selected at random from a group of 16 republicans and 19 democrats. find the probability of each of the following. (round your answers to three decimal places.)
The probability of both people being Democrats is 0.243, and the probability of one person being a Republican and one person being a Democrat is 0.486.
To find the probability of each of the following, we can use the formula for the probability of selecting a group of items from a larger group with replacement:
P(A and B) = P(A) * P(B)
Where P(A) is the probability of selecting the first item, and P(B) is the probability of selecting the second item.
Both people are Democrats:
There are 16 Democrats and 31 total people, so the probability of selecting a Democrat is 16/31. Therefore, the probability of selecting two Democrats is (16/31) * (16/31) = 0.243.
One person is a Republican and one person is a Democrat:
There are 15 Republicans and 31 total people, so the probability of selecting a Republican is 15/31. There are 16 Democrats and 31 total people, so the probability of selecting a Democrat is 16/31. Therefore, the probability of selecting one Republican and one Democrat is (15/31) * (16/31) = 0.486.
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