z-score in normal distribution is a standardized value of raw score,i.e., random variable X when mean is 0 and standard deviation is 1.
What is standard deviation?
The standard deviation is a metric that reveals the degree of variation (such as spread, dispersion, and spread) from the mean. Similar to variance, there is little variation when data points are close to the mean, but there is much variation when data points are widely scattered from the mean. The amount of departure from the average is determined by standard deviation. The most common measurement of dispersion, the standard deviation, is based on all values. Therefore, a change in even one value has an impact on the standard deviation's value. In the bell curve of z, a 'negative z-score' represents raw score below mean and 'positive a-score' means raw score is above mean.Since, the distribution of standard variate z~N(0,1) is always centered towards 'zero' mean and is symmetrical, negative z-score ,which represent raw score below mean, is always in the left side of the curve.Therefore, z-score corresponding to an area located entirely in the left side of the curve will produce a negative z-score. Also, area is never negative.To know more about z-score check the below link:
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"dixon and his little sister ariadne stand next to each other on the playground on a sunny afternoon. their mother measures their shadows. dixon's shadow is 9"
Dixon is 6 feet tall. Dixon's height can be determined using the concept of similar triangles.
To find Dixon's height, we can use the concept of similar triangles. Since Dixon's shadow is 9 feet long and Ariadne's shadow is 7.5 feet long, we can set up a proportion:
Dixon's height / Dixon's shadow = Ariadne's height / Ariadne's shadow
Let's denote Dixon's height as x. We have:
x / 9 = 5 / 7.5
Cross-multiplying, we get:
7.5x = 9 * 5
7.5x = 45
Dividing both sides by 7.5:
x = 45 / 7.5
x = 6
Therefore, Dixon is 6 feet tall.
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The complete question is:
Dixon and his little sister Ariadne stand next to each other on the playground on a sunny afternoon. Their mother measures their shadows. Dixon's shadow is 9 feet long and Ariadne's shadow is 7.5 feet long . If Ariadne is 5 feet tall, how tall is Dixon?
Cynthia earns $680 in commissions and is paid $10.25 per hour. Javier earns $410 in commissions and is paid 12.50 per hour. What will you find if you solve for x in the equation 10.25x + 680 = 12.5x +410.
Answer:
x = 120
Step-by-step explanation:
10.25x + 680 = 12.5x +410.
Subtract 10.25x from each side
10.25x-10.25x + 680 = 12.5x-10.25x +410.
680 = 2.25x +410
Subtract 410 from each side
680-410 = 2.25x +410-410
270 = 2.25x
Divide each side by 2.25
270/2.25 =2.25x/2.25
120=x
what is the perimeter of P:(2,2) Q:(6,2) R:(6,5) S:(2,5)
Answer: 14
Step-by-step explanation:
P(6)- Q(2) = 4
Q(5) - R(2) = 3
R(6) - S(2) = 4
S(5) - P(2) = 3
4 + 3 + 4 + 3 = 14
Brainliest is appericiated!
Answer:
Perimeter = 14
Step-by-step explanation:
to find the perimeter first find the distance between the two points :
d=√((x2-x1)²+(y2-y1)²)
PQ:(2,2)(6,2)
d=√(6-2)^2+(2-2)^2
= √16=4
PQ=4
RS: (6,5),(2,5)
d=√(6-2)^2+(5-5)^2
d=4
RS=4
QR:(6,2),(6,5)
QR=3
SP(2,5),(2,2)
SP=3
perimeter=2length+2width
P=2l+2w
p=2(4)+2(3)
p=8+6=14
The area of a trapezoid is 283.5 cm. The height is 9 cm and one of the bases has a length of 26 cm.
What is the length of the other base?
Answer:
Area of a trapezoid calculator determines the area, perimeter, and side lengths for an arbitrary trapezoid.
Missing: 283.5 | Must
Step-by-step explanation:
i need help please!!
Answer:
Step-by-step explanation:
do the thing times 2
Peter had 4 bags which had equal number of mangoes.He sold 8 mangoes and remained with 24 mangoes.How many mangoes were in each bag?
Answer: 8 mangoes
Step-by-step explanation:
1. To find the total number of mangoes Peter had, add 8 and 24 which gives you 32. 8 + 24 = 32.
2. If Peter had an equal number of mangoes in each bag, and a total number of 32 mangoes, then you must divide the total number of mangoes by the number of bags, which is 4. 32 ÷ 4 = 8. Therefore, there were 8 mangoes in each bag.
Answer:
The answer is 8 mangoes
Which of the following choices evaluates -2x2 + 4x, when x = -2?
Answer:
x = -2
-2(-2^2) + 4(-2)
-2(4) + -8
-8 + -8Answer = -16 is the answer.-12.40 in simplest from
Answer: \(- \frac{62}{5}\)
Convert the decimal number into a fraction
Multiply by 10
\((- \frac{12.40}{1} ) (\frac{10}{10})\)
\(- \frac{124}{10}\)
Divide the fraction by 2
\(- \frac{62}{5}\)
16. Simplify each expression for x = 4.
a. --5x-4
-54
b. 7x-3
94-3
Answer:
a is -38
b is -369
Step-by-step explanation:
when simplifed
a is 5x-58
b is 7x-397
Prove that sin(3x)/sin(x)·cos(x) = 4cos(x)-sec(x)
Here is a huge hint:
sin(3x) = 3 sin (x) - 4(sin x)^3
sec (x) = 1/sin(x)
Take it from here.
The expression {4 cos(x) - sec(x)} is equivalent to {sin(3x)/sin(x) cos(x)} is proved below.
What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is the equation -
sin(3x)/(sin(x)·cos(x)) = 4cos(x) - sec(x)
We have the following equation -
{sin(3x)/(sin(x)·cos(x)} = 4cos(x) - sec(x)
Now, we know -
sin3x = 3 sin x - 4 sin³x
So, we can write -
(3 sin x - 4 sin³x)/(sin(x)·cos(x) = 4cos(x) - sec(x)
sin(x) (3 - 4sin²x) / sin(x) cos(x) = 4cos(x) - sec(x)
(3 - 4sin²x)/cos(x) = 4cos(x) - sec(x)
(3 - 4sin²x) = cos(x){4 cos(x) - 1/cos(x)}
(3 - 4sin²x) = 4cos²x - 1
3 + 1 = 4cos²x + 4sin²x
4 = 4(cos²x + 4sin²x)
4 = 4
1 = 1
LHS = RHS
Therefore, it is proved that the expression {4 cos(x) - sec(x)} is equivalent to {sin(3x)/sin(x) cos(x)}.
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the cost of a meal at a restaurant was $\$15$ before tax and tip. if the $7\%$ tax and an $18\%$ tip are each based solely upon the cost of the meal, what is the total cost in dollars of the meal, tax and tip? express your answer as a decimal to the nearest hundredth.
Total cost in dollars of the meal, tax and tips is $18.75
What is tip?Tips are bonus or extra payment that a customer wants to pay to the counter of restaurant or to certain workers to express the gratitude toward their hospitality. How much money will be paid is determined by the customer himself.
What is the total cost in dollars?given, cost of meal = $15 before tax and tip
After that $7% tax and $18% tip are included upon the cost of meal
Now, cost for tax = $ (7/100 × 15) = $1.05
cost for tip = $ (18/100 × 15) =$2.7
Total cost for meal, tax and tips = cost for meal + cost for tax + cost for tip
Total cost = $18.75
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The probability of drawing a blue
marble from a bag containing
these marbles is 1/2.
If you replace the marble each time,
predict how many times a blue marble
will be chosen out of 50 draws
We can expect that out of 50 draws with replacement, approximately 25 blue marbles will be chosen on average.
If the probability of drawing a blue marble from the bag is 1/2, and the marble is replaced after each draw, we can expect that the probability of drawing a blue marble remains constant for each draw. Therefore, for each individual draw, there is a 1/2 chance of selecting a blue marble.
To predict how many times a blue marble will be chosen out of 50 draws, we can use the concept of expected value. The expected value is calculated by multiplying the probability of an event by the number of times it is expected to occur.
In this case, the probability of drawing a blue marble is 1/2 for each draw, and we are drawing 50 times. Therefore, the expected number of blue marbles drawn can be calculated as:
Expected number of blue marbles = Probability of drawing blue × Number of draws
= (1/2) × 50
= 25
Based on this calculation, we can expect that out of 50 draws with replacement, approximately 25 blue marbles will be chosen on average.
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pls answer this one
By prime factorisation method factorize 400 and find the sum of prime numbers involved.
Step-by-step explanation:
PLS MARK ME AS BRAIN LIST ANSWER
5d + 9d – 4 – 6d = 12
Answer:
Step-by-step explanation:
5. The circumference of the earth is about 24,855miles. Find the surface area of the Western Hemisphere of Earth.
Answer:
oh my answer is in the explanation
Step-by-step explanation:
it
is
quite
big
Find the value of x in each of the following.
Help would be nice,will give brainliest for full answer
Answer:
1) x = 19
2) x = 24 1/3
Step-by-step explanation:
1) there are 360 degrees in a 4-sided polygon
90 + 90 + 4x - 14 + 5x + 23 = 360
9x + 9 = 180
9x = 171
x = 19
2) there are 720 degrees in a 6-sided polygon
since this hexagon is 'regular' then all angles are equal and measure 120°
6x - 26 = 120
6x = 146
x = 24 1/3
there are 19 people working at a business. the box-and-whisker plot shows information about the monthly salaries of these 19 people. if each of the 19 people earns a different monthly salary, which statement must be true, based on the box-and whisker plot?
The true statement based on the box-and whisker plot of 19 people are The median monthly salary is higher than the first quartile, The first quartile is higher than the minimum monthly salary, The third quartile is higher than the median monthly salary, The maximum monthly salary is higher than the third quartile, There are no outliers in the dataset.
A box-and-whisker plot provides a graphical representation of the five-number summary of a dataset: the minimum value, the first quartile (Q1), the median, the third quartile (Q3), and the maximum value. The box itself represents the middle 50% of the data (between Q1 and Q3), and the whiskers extend to the minimum and maximum values, with any outliers plotted as individual points.
Therefore, some possible statements that could be true based on the box-and-whisker plot of the monthly salaries of the 19 people are:
The first quartile is higher than the minimum monthly salary.
The third quartile is higher than the median monthly salary.
The median monthly salary is higher than the first quartile.
The maximum monthly salary is higher than the third quartile.
There are no outliers in the dataset.
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if we know the 4 numbers used but dont know the order, how many possible combinations do we need to use to find the password
If we know the 4 numbers used but do not know the order, there are 24 possible combinations to use to find the password.
When you have 4 distinct numbers and need to find the order, you are looking to determine the number of possible combinations.
A combination is an arrangement of items in a specific order. In your case, you are trying to find the possible arrangements for the 4 numbers you know, which can be used to unlock the password.
To calculate the number of combinations, you can use the formula for permutations, which is n!/(n-r)!, where n is the total number of items (numbers) and r is the number of items you want to arrange.
In this situation, n = 4 (the 4 numbers you know), and r = 4 (since you want to arrange all of the numbers). Applying the formula, you'll have:
4!/(4-4)!
4! (which is 4 x 3 x 2 x 1) divided by 0! (0! is equal to 1)
4! = 24
So, you have 24 different possible combinations for the order of the 4 numbers. To find the correct password, you would need to try each of these 24 combinations.
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WILL GIVE BRAINLIEST IF CORRECT!!
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y=1/2x+8
Step-by-step explanation:
Hope is helps. Please mark brainliest!!
Janelle draws line segments AB and BC in the same plane such that AB = 8 cm and BC = 6 cm. Then Janelle draws
line segment AC.
Use this information to determine the length, in centimeters, of AC for the following two situations.
• AB, BC, and AC form a triangle. Enter a possible value of AC in the first response box.
• Points A, B, and C lie on the same line, and C lies between A and B. Enter this value of AC in the second
response box.
Answer:
Step-by-step explanation:
• AB, BC, and AC form a triangle. Enter a possible value of AC....
So it asks for only a possible value of AC as there are many possible values.
Given AB = 8 cm and BC = 6 cm, they are in the ratio of 3:4.
Line segments of 3, 4 and 5 length will form a right-angled triange.
A possible value of AC = 5*2 = 10cm
• Points A, B, and C lie on the same line, and C lies between A and B.
So AC+CB = AB
AC+6 = 8
AC = 2cm
Enter this value of AC in the second
response box.
Answer:
Step-by-step explanation:
if ABC forms a triangle, AB=8 and BC=6
a possible value of AC=10cm
if ABC is a line segment n C is between A n B
AC + BC = AB
AC = 8 - 6 = 2cm
Please prove that If a, b are integers, the product, a x b is
odd if and only if a and b are both odd.
If a, b are integers, the product, a x b is odd if and only if a and b are both odd.
We have to prove that the product, a x b is odd if and only if a and b are both odd. To prove this, we need to use the definition of odd numbers. An odd number is any integer that is not divisible by 2. Now we can see that the product of two odd numbers will be odd. This is because when we multiply two odd numbers together, we get an even number of odd factors, which means the result will be odd.
On the other hand, if either a or b is even, then their product will be even. This is because the even number will have at least one factor of 2, and when we multiply it with any other number, the result will have at least two factors of 2, making it even.
Therefore, we can conclude that if a x b is odd, then a and b must both be odd, and if a or b is even, then their product will be even, not odd.
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I NEED ANSWER ASAP I WILL GIVE BRAINLIEST IF RIGHT
Question 9
3 pts
2
1
3
4
If m_1 equals (4x + 2) and m-3 equals (5x - 15), what is the value of x?
16
0 14
15
17
HELP ASAP!!! TIME LIMITED!!!!!!!
Which expression is represented by the diagram?
Answer:
-10-(-4)
Step-by-step explanation:
Solve for 43.
43 = [?]
58°
139° 41°
43
Answer:
∠3 = 81
Step-by-step explanation:
Interior angles in a triangle add up to equal 180°
Hence, 58° + 41° + ∠3 = 180
58 + 41 = 99
99 + ∠3 = 180
* subtract 99 from each side *
99 - 99 cancels out
180 - 99 = 81
we're left with ∠3 = 81°
A sequence is defined by the rule a= -3(2) n-1 . What is the 5th term of the sequence
identify the statistical test in which the mean difference between two groups are compared to a distribution of differences between means.
The statistical test in which the mean difference between two groups is compared to a distribution of differences between means is known as the t-test.
What statistical test to use when comparing more than two groups?The one-way analysis of variance (ANOVA) is the suitable procedure in place of the t-test for a comparison of more than two group means. The ANOVA is interested in the locations of the distributions indicated by means as well since it has the same underlying assumptions as the t-test.
What is the difference between ANOVA and a t-test?ANOVA is used to compare the means among three or more groups, while the Student's t-test is used to compare the means between two groups. First receives a shared P value in an ANOVA. The ANOVA test results with a significant P value for at least one pair where the mean difference was statistically significant.
From the above theory, the test specified above is termed as the t-test.
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Julia's dad bought a car for $15,000 the purchase price was 7/8 of its retail price what is the decimal value of the discount given to Julia's father by the car dealership
Answer:
Step-by-step explanation:
0.125
Three roots of a fifth degree polynomial function f(x) are –2, 2, and 4 + i. Which statement describes the number and nature of all roots for this function?
Answer:
The statement is;
The polynomial function has 3 roots with 2 being real roots and 1 being a complex root
Step-by-step explanation:
Here, we want to state the description of the number and nature of all roots for this function.
The statements are;
1. The polynomial have three roots
2. There are 2 real roots and 1 complex root
Answer:
A
Step-by-step explanation:
on edg 2020!
Simplify the expression shown
Answer:
46.5
Step-by-step explanation:
9×6=54
54-7.5=46.5
What is the Domain and Range
The domain and range of the function are respectively, (-6, 6) & (0, 6).
What is Domain and Range ?The domain of a function is the set of all input values (independent variable) for which the function is defined and produces a valid output (dependent variable).
The range of a function is the set of all possible output values of the function. It represents the set of all possible values of the dependent variable.
Given that,
The graph of the function,
As we know from the definition of the graph,
the domain is all the possible values of the function for which it gives definite value so it can be seen in the graph,
function gives definite value only in the interval (-6, 6)
The range is all the outputs for the input value of domain
and it can be seen in the graph,
the output values are in the range of (0, 6)
Therefore, the domain and range are respectively (-6, 6) & (0,6)
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