The unknown sides of the figure are
< KNL = 89.85 degrees
< KJL = 50 degrees
< JKM = 40 degrees
< JML = 80 degrees
How to find the unknown sidesA rhombus has it's interior angles equal to 360 degrees and the opposites and angels are equal
hence angle MLK = MJK = 100 degrees
< JML = < JKL = say x
2x + 2(100) = 360
2x = 360 - 200
2x = 160
x = 80
< MJL + < KJL = MJK adjacent angles
50 + < KJL = 100
< KJL = 50 degrees
The sides of a rhombus are equal
JM = KL = 15.6
ML = JK = 15.6
Given that NK = 12 and NL = 10, using cosine rule we solve for < KNL
cos < KNL = (15.6² - 12² - 10²) / -2 * 12 * 10
cos < KNL = 1/375
< KNL = arc cos (1/375)
< KNL = 89.85
< JKM + < JKL + <JNK = 180 sum of angles on a triangle
<JNK = 180 - 89.85 = 90.15
< JKM + 50 + 90.15 = 180
< JKM = 180 - 50 - 90.15
< JKM = 39.85 approximately 40
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What is the name of the following image?
a
Ray TS
b
Line Segment TS
c
Line ST
d
Ray ST
Answer:
ray ts
Step-by-step explanation:
What is 16% of 175 I need help
Answer: 28
Step-by-step explanation:
16% = 0.16
Percents are just decimals!
Now you can put this in your calculator, and you will get 28.
However:
It might help you later to know that x% of y = y% of x
In other words, 16% of 175 is the same thing as 175% of 16
This problem is easier, since we can break 175% into 1 and 3/4th. 3/4th of 16 is easy to calculate, (its 12), and so we can add 12 to 16 to find the answer, which is still 28 :)
No calculator needed!
if each coded item in a catalog begins with 4 distinct letters followed by 4 distinct nonzero digits, find the probability of randomly selecting one of these coded items with the first letter a vowel and the last digit even.
The probability of randomly selecting one of these coded items with the first letter a vowel and the last digit even is 5/52
probability is an occurence of a particular events. This particular problem can be solved using permutations and combinations.
Given that, if each coded item in a catalog begins with 4 distinct letters followed by 4 distinct nonzero digits
Like the 4 distinct letters be A,B,C,D
4 distinct nonzero digits are 2,3,4,5
The probability of randomly selecting one of these coded items with the first letter a vowel and the last digit even is approximately equals to the 10/104 = 5/52
Here the probability is an occurence of a particular events. This particular problem can be solved using permutations and combinations and the probability of randomly selecting one of these coded items with the first letter a vowel and the last digit even is approximately equals to 5/52
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how many decimeters are in 3.6 millimeters
Final Answer:
There are 0.036 decimeters in 3.6 millimeters.
Explanation:
To convert from millimeters to decimeters, we can use the following measurement conversion:
1 millimeter = 0.01 decimeters
So, to find out how many decimeters are in 3.6 millimeters, we can multiply 3.6 by 0.01:
3.6 * 0.01 = 0.036
Therefore, there are 0.036 decimeters in 3.6 millimeters.
What is the source of this graph?
Answer:
to help navigate the answer
U={ positive integer between 9 and 21} P={odd numbers} Given that P and Q are subsets of U a. List all the members of P, Q and U b. Illustrate the information on a Venn diagram c. Find P1 and Q1
The set of the numbers are all integers from 9 to 21 inclusive
What is a set?It is the collection of items to form a group
All the members of:
P={odd numbers}
P={9,11,13,15,17,19,21}
Q={Even numbers}
Q= {10,12,14,16,18,20}
U={ positive integer between 9 and 21}
This means that U = {9,10,11,12,13,14,15,16,17,18,19,20,21}
Therefore, P1 and Q1
P prime include all the elements in the universal set that are not in the subset P = {10,12,14,16,18,20}
and Q prime include all the elements in the universal set that are not in subset Q = P={9,11,13,15,17,19,21}
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You and your brother go to the same store to buy fruit. You purchase a large watermelon for $7.71 and 2.4 pounds of red grapes. Your brother buys a platter of pre-cut fruit for $9.95 and 1.6 pounds of red grapes. The two of you spend the same amount of money. How much do the grapes cost per pound
The cost of red grapes per pound is $2.8.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, cost of a large watermelon and 2.4 pounds of red grapes is $7.71.
Let the cost of red grapes be x.
So, the total cost = 7.71+2.4x
Cost of a platter of pre-cut fruit and 1.6 pounds of red grapes is $9.95.
The total cost = 9.95+1.6x
Person and his brother spent same amount of money.
So, 7.71+2.4x=9.95+1.6x
2.4x-1.6x=9.95-7.71
0.8x=2.24
x=2.24/0.8
x=$2.8
Therefore, the grapes cost per pound is $2.8.
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Select all the measures of variability that can be used to compare two data sets.
A. Mean
B. Interquartile Range
C. Median
D. Mode
E. Range
Range, interquartile range, standard deviation, and variance are four measures of variability that can be used to compare two data sets.
Variability is most generally measured proving the following descriptive data:area:
Difference between highest and lowest values.
Range is the straightforward allowance to calculate variability. To asset the area, follow these steps:
Sort all the values in the dataset from lowest to highest.
Subtract the lowest value from the highest value. Interquartile range:
area of the middle half of the distribution
standard deviation:
mean distance from mean
Standard deviation is a useful measure of the variance of a normal distribution.
A normal distribution distributes data symmetrically without skew. Most of the values are clustered around the central region, with values tapering away from the center. Standard deviation indicates how far the data are, on average, from the center of the distribution.
deviation:
mean squared distance from mean
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assume that there are 60 students in a class and they will be seated in a classroom where there are 62 seats. in how many different ways this can be done?
There are 4,431,621,036,503,680 different ways to seat the 60 students in 62 seats.
If there are 60 students and 62 seats, then there will be 2 empty seats in the classroom. We need to find out the number of ways to seat the 60 students in these 62 seats.
To solve this problem, we can use the permutation formula:
nPr = n! / (n - r)!
where n is the total number of objects and r is the number of objects we want to arrange.
In this case, we want to arrange 60 students in 62 seats, so we can use the formula as follows:
62P60 = 62! / (62 - 60)!
= 62! / 2!
= 62 x 61 x 60 x ... x 3 x 2 x 1
= 4,431,621,036,503,680
Therefore, there are 4,431,621,036,503,680 different ways to seat the 60 students in 62 seats.
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Use proportions to determine 23% of what number is 81.3. Round to the nearest hundredth.
Determine the value of the missing angle using the inverse trig function.
Answer:
x = 59.036°
Step-by-step explanation:
tan (BÂC) = BC/AB
tan= opposite/ adjacent
Then subs AB = 3 BC= 5 BÂC= x into tan (BÂC) = BC/AB
tan(x)=5/3
x= tan^-1 (5/3)
x= 59.036°
five times a number is 120
if a researcher wishes to examine the extent to which the data measure what they are supposed to measure, the researcher is interested in
The appropriate option to fill the blanks would be: a. validity. and b. reliability.
Both validity and reliability are important concepts in research that determine the quality of data and measurement. Validity refers to the accuracy and truthfulness of a measurement, while reliability refers to the consistency and stability of a measurement. The researcher would be interested in both to ensure that the data measure what they are supposed to measure accurately and consistently. In research, both reliability and validity are important concepts. Reliability refers to the consistency and stability of a measurement, while validity refers to the accuracy and truthfulness of a measurement. So, if a researcher wishes to examine the extent to which the data measure what they are supposed to measure, the researcher would be interested in both reliability and validity of the data.
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Complete Question
If a researcher wishes to examine the extent to which the data measure what they are supposed to measure, the researcher is interested in _________
a. validity.
b. reliability.
c. confirmability.
d. credibility.
Determine the correct answer using pi = 3.14 and rounding to the
nearest thousandth if necessary.
Find the surface area of a pyramid with a height of 9.8 meters,
slant height of 10.34 meters, and a square base with a width of
6.7 meters.
it would be 180 - 136 right?
Answer:
It would be 180 - 136 = 44
Step-by-step explanation:
Answer:
yes you are correct
Step-by-step explanation:
180-136=44
suppose there are three cards, a, b, and c. two of them will be drawn one by one with replacements. what is the probability of getting (a, b), i.e. the first card is a and the second card is b?
the probability of getting (a, b), i.e. the first card is a and the second card is b is 2/3 by conditional probability.
The potential of an event or outcome occurring based on the existence of a prior event or outcome is known as conditional probability. It is computed by dividing the likelihood of the earlier occurrence by the likelihood of the subsequent, or conditional, event.
This is where the independent event and dependent event notion is used. Consider a student who misses class twice each week, omitting Sunday. What are the possibilities that he will take a leave of absence on Saturday of the same week if it is known that he will be absent from school on Tuesday? It has been noted that situations where the outcome of one event influences the outcome of a subsequent event are termed as conditional probability
We can work this out directly from the definition of conditional probability,
[tex]P(G_1|G_2)=P(G_1nG_2)/(P(G_1)[/tex]
Exactly one of the three cards has sides, so
P(G1∩G2)=1/3
and P(G1)=1/2
THEN
the probability of getting (a, b), i.e. the first card is a and the second card is b IS = 1/3÷1/2 = 2/3
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Which of the following statements about JK and JL is true?
T
8
7
6
-5
y
4
3
2
1
-1
J(2,4)
2 3 4 5
L(1,-1)
K(7.8)
6 7 8
The true statement about JK and JL is, JK is longer than JL
What are comparison in math?The process of comparison reveals the shared characteristics of several objects. This is the fundamental idea in mathematics that guides our descriptions of whether two numbers are equal, one is more than, one is less than, or both are equal. Comparing fractions, decimals, and rational numbers are all possible.
The coordinates of the point are:
J (2, 4)
K (7, 8)
L (1, -1)
The distance between two points is given by the formula:
D = √(x2 - x1)² + (y2 - y1)²
The distance between JK is:
JK = √(7 - 2)² + (8 - 4)
JK = √25 + 16 = √41 = 6.40
The distance between JL is:
JL = √(1 - 2)² + (-1 - 4)²
JL = √1 + 25 = √26 = 5.09
Hence, the statement about JK and JL is, JK is longer than JL.
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The complete question is:
Im so confused right now. Can you help me
how will his speed compare? or namely, will he be within speed limits or should we give him a big fat ticket for speeding?
well, the 25 mi/hr limit is expecting anyone on that road to only do 40,234 meters per hour, so since an hour is 60 minutes and a minute is 60 seconds, that means an hour is really (60)(60) seconds, or 3600 seconds, so the limit is expecting anyone on that road to do no more than 40,234 meters per 3600 seconds, let's see how Usain fares
[tex]\begin{array}{ccll} meters&seconds\\ \cline{1-2} 100 & 9.63\\ 40234& x \end{array} \implies \cfrac{100}{40234}~~=~~\cfrac{9.63}{x} \implies 100x=(40234)(9.63) \\\\\\ x=\cfrac{(40234)(9.63)}{100}\implies x\approx 3874.53[/tex]
so Usain will covering those 40,234 meters in about 3875 seconds, that's longer than 3600 seconds, meaning Usain will need more than 3600 seconds to cover those meters so he's really going slower 40,234 meters per 3600 seconds, so he's golden, he's within speed limits, because the limit is expecting noone to do them in less than 3600 seconds.
pls help i don’t understand
25 Points! Please help!!
if the product is -8 and the sum is 2 what are the other 2 numbers?
Answer:
4 and -2
Step-by-step explanation:
4 + -2 = 2
4 x -2 = -8
If m∠HZJ = 38°, what is m∠AZJ?
Answer: 52 Degrees
Step-by-step explanation:
HZA is a 90 degree angle so since we know that HZJ is 38 degrees then we will subtract 38 from 90 which will be 52 degrees.
a manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 430 gram setting. it is believed that the machine is underfilling the bags. a 21 bag sample had a mean of 421 grams with a standard deviation of 15 . assume the population is normally distributed. a level of significance of 0.1 will be used. find the p-value of the test statistic. you may write the p-value as a range using interval notation, or as a decimal value rounded to four decimal places.
A manufacturer working at the 430 gram setting, and a 21 bag sample had a mean of 421 grams with a standard deviation of 15. The p-value of test statistic is 0.0074.
To test whether the bag filling machine works correctly at the 430 gram setting, we can conduct a one-sample t-test. The null hypothesis is that the true mean weight of the bags filled by the machine is equal to 430 grams, and the alternative hypothesis is that the true mean weight is less than 430 grams.
The test statistic is calculated as:
t = (sample mean - hypothesized mean) / (sample standard deviation / sqrt(sample size))
Plugging in the values given in the problem, we get:
t = (421 - 430) / (15 / sqrt(21)) = -2.77
The degrees of freedom for the t-distribution are n - 1 = 20.
Using a t-table or calculator, we can find the p-value associated with a t-score of -2.77 and 20 degrees of freedom. The p-value turns out to be 0.0074 (rounded to four decimal places).
Since the p-value is less than the level of significance of 0.1, we can reject the null hypothesis and conclude that the bag filling machine is underfilling the bags at the 430 gram setting.
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a statistics professor finds that when he schedules an office hour for student help, an average of students arrive. find the probability that in a randomly selected office hour, the number of student arrivals is
The probability of 3 students arriving at a randomly selected office hour is 0.27(27%). This can be calculated by using the Poisson distribution equation which is P(x)=e^(-λ)*(λ^x/x!).
In the above equation, λ is equal to the average number of arrivals which is 3.3. Plugging these values into the equation gives us P(3)= e^(-3.3)*(3.3^3/3!) = 0.27, this means that the probability of 3 students arriving in randomly selected office hours is 0.27.The Poisson distribution is used to calculate the probability of a certain number of events occurring in a fixed interval of time or space. It is commonly used in engineering, economics, and other fields.
This equation is especially useful in situations like this one where the arrival rate is known and the probability of a certain number of arrivals needs to be determined.
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A statistics professor finds that when she schedules an office hour for student help, an average of 3.3 students arrive. Find the probability that in a randomly selected office hour, the number of student arrivals is 3.
What is the y-intercept of the line shown? (4 points)
A coordinate plane is shown. A line passes through the point -4 comma 1 and through the y-axis at 4.
3 over 4.
2
3
4
Answer:
y- intercept = 4
Step-by-step explanation:
the y- intercept is the value of y on the y- axis where the line crosses.
the line crosses the y- axis at 4
then y- intercept = 4
Pre cal due tonight pls help
The dot product a . b is -22
What is the dot productThe dot product, also known as scalar product or inner product, is a binary operation that takes two vectors and returns a scalar (single-valued) quantity. The dot product of two vectors is equal to the product of the magnitude (length) of the vectors and the cosine of the angle between them.
Given two vectors, A and B, the dot product is defined as:
A ∙ B = |A| * |B| * cos(θ)
where |A| and |B| are the magnitudes of vectors A and B, and θ is the angle between them.
a = <3, -2>
b = <-2, 8>
a . b = (3 * -2) + (-2 * 8)
a . b = -6 + - 16
a . b = -22
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Cuál es el perímetro?
The perimeter of the figure is 30.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
From the figure,
Number of sides = 5
Each side = 6
So,
The perimeter.
= 5 x 6
= 30
Thus,
30 is the perimeter.
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Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
x+y=-4
-x-y=4
The following system of equations has no solutions, the correct option is A.
How to find the solution to the given system of equation?For that , we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.
If there comes a = a situation for any a, then there are infinite solutions.
If there comes wrong equality, say for example, 3=2, then there are no solutions, else there is one unique solution to the given system of equations.
We have given that;
system of equations are
x+y=-4.....1
-x-y=4......2
Now,
Rearranging the equation 2
-4=x+y
Its equal to equation 1
Therefore, the system of equations will have no solution.
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yesterday, peter the rabbit picked 84 carrots from his garden and ate one-fourth of them. today, he ate 12 carrots. how many carrots are left?
Peter the rabbit have 51 carrots are left.
one fourth means A quarter is represented in mathematics using fractions. Mathematically, a quarter fraction is a whole divided into four equal parts. where 1 indicates the part being referenced and 4 indicates the number of parts the whole is divided into. In numeric format, it is written as ¼.
so total carrot is 84
and he ate one fourth on that day
so remaining are
84*1/4= 21
21 he eat on that the then remaining =
84 - 21 = 63
63 carrots are remain for next day and
he eat 12 carrot on next day
so remaining = 63 - 12 = 51
so 51 carrot left .
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Use the Angle Addition Postulate to find x
The value of x by using the addition postulate of an acute angle is 36.
What are acute angles?Acute angles are those between 0 and 90 degrees, and those angles are less than 90 degrees. When two rays intersect at a vertex, an angle is created.
An acute angle is one that is smaller than 90 degrees in length and has all internal angles that are less than 90 degrees.
Here, we have an acute angle NCQ that is 70 degrees. Using the addition postulate to determine the value of x, we have:
x + 34 = 70
x = 70 + (-34)
x = 70 - 34
x = 36
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