Given some scores on an entrance exam, which are roughly normally distributed, we are told they have a mean of 82 and a standard deviation (std dev) of 5. If some student received a 90 on the exam, what would there z-score be calculated as?

Answer:

100

Step-by-step explanation:

What you need to do is multiply all of the numbers together so the three sides equal 12 so you need to do 12x3 which equals to 36 and 8x8 is 64 and then add 64 and 36 which gives you 100

Solution :

The given figure consists of two shapes that are a triangle and a square . To find the total area of the figure we will first find the area of the triangle then that of the square and add them .

Let's work on this ,

In the given figure the base of the triangle is 12 inches and it's height is 8 inches .

Now lets find the area of the square ,

Total area of the figure

Answer:

d) 5

Step-by-step explanation:

we can observe that the x-value 5 appears twice in the relation. However, in a function or a relation, each x-value should only have one corresponding y-value. Therefore, the repetition of (5, 1) and (5, 2) indicates an inconsistency or ambiguity in the relation. As a result, 5 is not a valid x-value in the domain.

The probability that the student will fail, given that he guesses the answers, is 0.227.

Since there are only two possible outcomes for each question (true or false),

the probability of guessing a correct answer is 1/2 = 0.5.

Likewise, the probability of guessing a wrong answer is also 1/2 = 0.5.

To find the probability of failing the exam,

we need to find the probability of answering less than 11 questions correctly.

Using the binomial probability formula,

the probability of getting k successes (correct answers) in n trials (questions) is given by:

P(k) = (n C k) * p^k * q^(n-k)

where p is the probability of success (getting a correct answer),

q is the probability of failure (getting a wrong answer), and (n C k) is the number of combinations of n things taken k at a time.

In this case,

n = 17, p = 0.5, and

q = 0.5.

The number of ways to get less than 11 correct answers is:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)P(X = k) = (n C k) * p^k * q^(n-k)

Substituting the values:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)

P(X = 0) = (17 C 0) * (0.5)^0 * (0.5)^17 = 0.0015

P(X = 1) = (17 C 1) * (0.5)^1 * (0.5)^16 = 0.0146

P(X = 2) = (17 C 2) * (0.5)^2 * (0.5)^15 = 0.0586

P(X = 3) = (17 C 3) * (0.5)^3 * (0.5)^14 = 0.1558

P(X = 4) = (17 C 4) * (0.5)^4 * (0.5)^13 = 0.268

P(X = 5) = (17 C 5) * (0.5)^5 * (0.5)^12 = 0.327

P(X = 6) = (17 C 6) * (0.5)^6 * (0.5)^11 = 0.2732

P(X = 7) = (17 C 7) * (0.5)^7 * (0.5)^10 = 0.1537

P(X = 8) = (17 C 8) * (0.5)^8 * (0.5)^9 = 0.0573

P(X = 9) = (17 C 9) * (0.5)^9 * (0.5)^8 = 0.013

P(X = 10) = (17 C 10) * (0.5)^10 * (0.5)^7 = 0.0015

Therefore, P(X < 11) = 0.0015 + 0.0146 + 0.0586 + 0.1558 + 0.268 + 0.327 + 0.2732 + 0.1537 + 0.0573 + 0.013 + 0.0015P(X < 11) = 0.8857

Thus, the probability of failing is: P(fail) = P(X < 11) = 0.8857

The probability that the student will fail, given that he guesses the answers, is 0.227 (rounded to three decimal places).

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The coordinates of P are P(7, 9) such that P partitions the segment AB in the ratio 5:1.

To find the coordinates of point P that partitions segment AB in the ratio 5:1, we can use the concept of section formula. The section formula states that if we have two points A(x1, y1) and B(x2, y2) dividing the segment in the ratio m:n, then the coordinates of the point P(x, y) can be found using the following formulas:

x = (nx1 + mx2) / (m + n)

y = (ny1 + my2) / (m + n)

In this case, A has coordinates A(2, 4) and B has coordinates B(8, 10). We want to find the coordinates of P that divide the segment AB in the ratio 5:1.

Plugging in the values into the formulas, we have:

x = (12 + 58) / (5 + 1) = (2 + 40) / 6 = 42 / 6 = 7

y = (14 + 510) / (5 + 1) = (4 + 50) / 6 = 54 / 6 = 9

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The graph must pass through the y-axis at y = -4 with a positive slope of 3

Given the expression

Write the given equation in standard form to have:

7x+y=10x-4.

y = 10x - 7x - 4

y = 3x - 4

From the equation, the slope is 3 and the y-intercept is -4

The graph must pass through the y-axis at y = -4 with a positive slope of 3.

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There are 20 red marbles

Since the probability of randomly choosing a blue marble is 5/9, then the probability of choosing a red marble will be:

= 1 - 5/9

= 4/9

If there are 45 marbles in total, the number of red marbles will be:

= 4/9 × 45

= 20

Therefore, there are 20 red marbles.

Answer:

they move side to side and up and down on both axis- they x and y

Step-by-step explanation:

passed math with an A+

Understanding a set’s nature or properties is made easier by its closure property

The set is closed if it has the closure property. This means that any operation performed on an element within a set will provide a result that belongs to that element’s set.

Why Closure Property is important?

Understanding a set’s nature or properties is made easier by its closure property. Mathematical applications of closure are numerous. Any operation that adheres to this condition is said to be “closed” or to have “fulfilled the operation’s closure property.”

Example – The set of even number is closed under subtraction

                   Even – Even = Even

                   6 – 4 = 2

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We cannot determine the center or radius of the circle based on the given information.

To find the radius of the circle passing through the point (7, 6), we need to determine the center of the circle.

Let's assume that the center of the circle is (a, b). Since the circle passes through point (7, 6), we can set up an equation using the distance formula between the center (a, b) and point (7, 6) as follows:

√((7 - a)² + (6 - b)²) = r

where r is the radius of the circle.

We can see that this equation represents the distance between the center of the circle and the point (7, 6) is equal to the radius of the circle.

We also know that the distance between the center of the circle and any point on the circle is equal to the radius. Therefore, if we can find the distance between (a, b) and another point on the circle, we can solve for the radius.

However, we do not have any other information about the circle, such as another point or the equation of the circle. Therefore, we cannot determine the center or radius of the circle based on the given information.

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Answer:

B. acute

Step-by-step explanation:

Answer:

B:  Acute triangle

Step-by-step explanation:

All of the interior angles are acute, so this is an acute triangle.

If the distribution of observations were perfectly symmetrical and unimodal, option B) The mean, median, and mode would be the same.

In a perfectly symmetrical and unimodal distribution, the mean, median, and mode would be equal. This is because in such a distribution, the data would be evenly spread around a central value. The mean is calculated by summing all the observations and dividing by the total number of observations. Since the distribution is symmetrical, the sum of the observations on one side of the central value would be equal to the sum on the other side, resulting in a balanced mean.

The median is the middle value when the observations are arranged in ascending or descending order. In a symmetrical distribution, the middle value would be the same as the central value, leading to the median being equal to the mean.

The mode represents the value that appears most frequently in the distribution. In a perfectly symmetrical and unimodal distribution, all values would occur with the same frequency, resulting in multiple modes. However, since the distribution is unimodal, meaning it has only one peak, all the modes would coincide, and the mode would also be equal to the mean and median. Therefore, in a perfectly symmetrical and unimodal distribution, the mean, median, and mode would all be the same value, leading to answer B) The mean, median, and mode would be the same.

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The width of prism is 9yards.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity. The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim. The quantity of space occupied by a three-dimensional object can also be used to describe volume.

Given Data

Rectangular prism:

Volume = 990 yd³

Length = 10 yards

Height = 11 yards

Volume of rectangular prism = Length× Height× Width

990 = 10 ×11× width

Width = \(\frac{990}{10(11)}\)

Width = 9

The width of prism is 9yards.

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Answer:

Step-by-step explanation:

3

The constant of proportionality in centimeters per minute is: 5.5.

To find the constant of proportionality of the table shown in the image attached below, use one pair of points, (12, 66).

Constant of proportionality, k = y/x, therefore, the proportional constant in centimeters per minute would be:

k = 66/12 = 5.5 cm per min.

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Hello!

Let's use the Distiributive property:

4(x+6)

4x+24

4x+24=3x-7

Move all the variables to the left:

4x-3x=-7-24

x=-31

Hope this helps!

~Just a determined gal

#CarryOnLearning

\(MysteriousNature\)

Answer:

Step-by-step explanation:

12

The οrdered pair sοlutiοns fοr the system οf equatiοns are: (-2,5) and (1,2)

In mathematics, an οrdered pair (a, b) is a pair οf items. The οrder in which the οbjects appear in the pair is crucial because the οrdered pair (a, b) varies frοm the οrdered pair (b, a) unless a = b. Cοntrarily, the unοrdered pair a, b = the unοrdered pair b, a.  

These equatiοns are cοmpοsed οf a line and a parabοla. We must identify the lοcatiοns where they crοss:

x²+ 1 = -x + 3

οr, x²+1+x-3=0

οr, x²+x-2=0

οr, x²+2x-x-2=0

οr, x(x+2)-1(x+2)=0

οr, (x+2)(x-1)=0

Since we were able tο factοr οut the quadratic expressiοn, we can say that the x-values sοlutiοn οf the system are:

X = 1 οr x = -2

Nοw, we may οbtain the cοrrespοnding y values using either οf the system's οriginal equatiοns. As an illustratiοn, we decide tο emplοy the linear equatiοn:

when x = -2 then y=-(-2)+3=5

when x = 1 then y=-1+3=2

Then the twο pοints sοlutiοns tο the system οf equatiοns are: (-2,5) and (1,2)

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In linear equation, For 20 Months Dagogo requires to upload videos to get 90,000,000  views on his channel.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.        

                                   The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

Dagogo uploads 3 videos on his channel each month.

Each video gets an average of 1500000 views.

  3 Video get Views  = 3 * 1500000

                                = 4,500,000 Views

Views per month  =   4,500,000 Views

      Total Views = 90,000,000 views

Number of months = Total Views/Views per month

Number of months  = 90,000,000/4,500,000

      Number of months  20 Months

For 20 Months Dagogo requires to upload videos to get 90,000,000  views on his channel.

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The complete question is -

Dagogo uploads 3 videos on his channel every month. Each video averages 15 minutes in length and gets an average of 150,000 new views. The average ratio of likes-to-views of Dagogo videos is 1:5. Dagogo wants to reach a total of 9,000,000 views on his channel. Assuming these rates continue, for how many months does Dagogo need to upload videos to get to 9,000,000 views on his channel?

Answer:

2000 likes per minute

Step-by-step explanation:

If each video averages 15 minutes and he gets an average of 150000 new views, we can divide.

150000/15=10000

If the ratio of likes to views is 1:5, we can assume 10000 is the "5" and divide it by 5.

10000/5=2000

2000:10000 = 1:5

2000 likes per minute

(KHAN)

The dimensions of the rectangular bases are 6 units by 33 units. Thus, x = 6.

To find the value of x, we need to determine the dimensions of the rectangular bases of the prism. Let's analyze the given information.

We are given:

Height of the prism = 3 units

Volume of the prism = 198 unit\(s^3\)

The volume of a prism is given by the formula V = base area × height.

Since the bases of the prism are rectangles, the formula for the area of a rectangle is A = length × width.

Let's assume that the length of one base is represented by x units, and the width of the other base is represented by y units.

Therefore, the volume of the prism can be expressed as:

198 = x × y × 3

Simplifying the equation, we have:

594 = 3xy

Dividing both sides by 3, we get:

198 = xy

Now, we need to find two positive integers whose product is 198. Let's list the factors of 198:

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

From these factors, we need to find a pair of numbers (x and y) such that their product is 198. After examining the factors, we find that x = 6 and y = 33 satisfy this condition.

Therefore, the dimensions of the rectangular bases are 6 units by 33 units. Thus, x = 6.

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Answer:

33

Step-by-step explanation:

118 - 85 = 33

Answer:

$27

Step-by-step explanation: because $85 plus $27 equals $118. Hope this helps!

\(\mathsf{(4 \times 10^4)(2\times 10^3)}\\\\\mathsf{= (4\times 10\times10\times10\times 10)(2\times 10\times 10\times 10)}\\\\\mathsf{= (4\times 100\times100)(2\times 100\times 10)}\\\\\mathsf{= (4\times \bold{10,000})(2\times \bf {1,000)}}\\\\\mathsf{= \bf (40,000)(2,000)}\\\\\mathsf{= 80,000,000}\\\\\mathsf{\approx 8\times 10^7}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{8\times 10^7}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

the pic or its 19x

Step-by-step explanation:

can I have brainlist

Answer:

not a answer

Step-by-step explanation:

try using demos graphing calculator

Answer:

5x + 2y = -6

-5x            -5x

2y = -5x -6

first possibility

radius 4

height 5.97

second possibility

radius 6

height 2.66

Answer:

c = 85°

Step-by-step explanation:

Inside of the triangle angles:

these angle sum up to 180°

180-c+c–35°+c–50° = 180°

c +95° = 180°

c = 180° - 95°

c = 85°