The test scores for the exam in statistics class have a mean of 78 points and standard deviation of 9 points. A student is randomly selected. Assuming the scores are normally distributed find the probability that the score is more than 95. write statement!

Answer:

x = -2

Step-by-step explanation:

3/2 (x-5) - 3/2 = 9x/2

3x/2 - 15/2 - 3/2 = 9x/2 ... alldenominator

are 2 so we can multiply all term by 2

2(3x/2 - 15/2 - 3/2 = 9x/2)

3x - 15 - 3 = 9x ... simplify it

3x - 12 = 9x

-12 = 9x - 3x ... take 3x to the left

-12 = 6x ... simplify

6x/6 = -12/6 ... dividing both side by 6

x = -2 ... simplify and solve x

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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2√5 exact form

4.47213595 decimal form

Answer:

Step-by-step explanation:

2x+4y=48

5x+2y=64

Adult ticket: $10    Child ticket: $7

For 2 adults and 3 children with the given price per ticket, the family having brought $40 as a budget, their budget would not be high enough as the total would come to be $41. They'd be a dollar short.

Answer:

D

Step-by-step explanation:

The equation of the tangent line to the function \(f(x) = -2x^3 - 4x^2 - 3x + 2\) at the point where x = -1 is y = -x + 6. The slope of the tangent line is -1, and the point of tangency is (-1, 7).

To find the equation of the tangent line to the function\(f(x) = -2x^3 - 4x^2 - 3x + 2\) at the point where x = -1, we need to determine both the slope of the tangent line and the point of tangency.

First, we find the derivative of the function f(x) to obtain the slope of the tangent line. The derivative of \(-2x^3 - 4x^2 - 3x + 2 is f'(x) = -6x^2 - 8x - 3\).

Next, we substitute x = -1 into the derivative to find the slope of the tangent line at x = -1: \(f'(-1) = -6(-1)^2 - 8(-1) - 3 = -6 + 8 - 3 = -1\).

Now, we have the slope of the tangent line, which is -1. To find the point of tangency, we substitute x = -1 into the original function f(x): \(f(-1) = -2(-1)^3 - 4(-1)^2 - 3(-1) + 2 = -2 + 4 + 3 + 2 = 7\).

Therefore, the point of tangency is (-1, 7), and the equation of the tangent line can be written in a point-slope form as y - 7 = -1(x - (-1)) or y - 7 = -1(x + 1).

In slope-intercept form, the equation simplifies to y = -x + 6.

Therefore, the equation of the tangent line to the function \(f(x) = -2x^3 - 4x^2 - 3x + 2\) at the point where x = -1 is y = -x + 6. The slope of the tangent line is -1, and the point of tangency is (-1, 7).

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Answer:

The possible range of the length of side LM is 8 < x < 26 ⇒ A

Step-by-step explanation:

In any triangle:

In the given figure

∵ LMN is a triangle

∵ LM = x, MN = 9, NL = 17

→ Find the sum of the lengths of MN and NL

∴ The sum of the lengths of MN and NL = 9 + 17 = 26

→ Find the difference between the lengths of MN and NL

∴ The difference between the lengths of MN and NL = 17 - 9 = 8

→ By using the rules above, x should be between 8 and 26

∴ 8 < x < 26

∴ The possible range of the length of side LM is 8 < x < 26

Answer:

5/18

Step-by-step explanation:

The total number of horses present is 9

The probability that the first selected horse is tan is 4/9

So , now for the second choice , we are left with 8 total horses of which 5 is brown

The probability is 5/8

So the joint probability is the product of this two

That will be;

5/8 * 4/9 = 5/18

Answer:5/6

Step-by-step explanation:

Answer:

Because she found it improves division.

Step-by-step explanation:

Answer:

addition?

Step-by-step explanation:

Answer:

she can eat 0.4 hot dogs per minute

Answer:

first we will not know the hotdogs number

Step-by-step explanation:

because you wrote for not four but it can be 4hoursand10minute

(Hey, angles rock!)

Answer:

45 + 60 = 105

Step-by-step explanation:

ABC consists of two angles, angle ABD and angle DBC. Therefore, the sum of the measures of angles ABD and DBC is the measure of ABC.

45 + 60 = 105

To show that an equation has no rational root, we can apply the Rational Root Theorem.

The theorem states that if a rational number p/q (where p and q are integers and q≠0) is a root of a polynomial with integer coefficients, then p must be a factor of the constant term, and q must be a factor of the leading coefficient.

11. x³ + 3x² - 4x + 6 = 0
Leading coefficient: 1, Constant term: 6
Possible rational roots: ±1, ±2, ±3, ±6
None of these roots satisfy the equation, so there are no rational roots.

12. 3x³ - 4x² + 7x + 5 = 0
Leading coefficient: 3, Constant term: 5
Possible rational roots: ±1, ±5, ±1/3, ±5/3
None of these roots satisfy the equation, so there are no rational roots.

13. 5x⁴ + 3x² - 5
This is not an equation, so we cannot determine the roots.

14. x⁴ - 9x + 7
Leading coefficient: 1, Constant term: 7
Possible rational roots: ±1, ±7
None of these roots satisfy the equation, so there are no rational roots.

15. x⁵ – 3x³ + 4x² + x - 2 = 0
Leading coefficient: 1, Constant term: -2
Possible rational roots: ±1, ±2
None of these roots satisfy the equation, so there are no rational roots.

16. 2x⁵ + 3x³ + 7 = 0
Leading coefficient: 2, Constant term: 7
Possible rational roots: ±1, ±7, ±1/2, ±7/2
None of these roots satisfy the equation, so there are no rational roots.

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Answer:

AB= 12                      AB=18

Step-by-step explanation:

sin(30)=AB/AC

=> AB=Sin(30)*AC

sin(30)=0.5

=>AB=0.5*24=15

sin(30)=AB/AC

=> AB=Sin(30)*AC

sin(30)=0.5

=>AB=0.5*36=18

Answer:

part a: AB = 12cm

part b: AB = 18cm

Step-by-step explanation:

sin(angle)=OPP/HYP

sine of an angle is a ratio of two sides of a right triangle. For sine, the ratio is the opposite side over the hypotenuse. In part a the marked angle is 30° and AB is the opposite side. The hypotenuse is given, 24cm.

So the sin 30°

= opp/hyp

= AB / 24

also given is the fact that sin30°=.5

Substitute that into our equation also.

sin30° = AB/24

.5 = AB/24

multiply both sides by 24.

.5×24 = AB

12 = AB

AB is 12 cm.

Part b is an identical calculation except the hypotenuse is 36cm.

sin30° = AB/36

.5 = AB/36

.5×36 = AB

18 = AB

AB is 18cm.

They may be trying to lead you to discover some shortcut patterns in a 30°-60°-90° triangle. That is that the short leg is HALF the hypotenuse OR the hypotenuse is double the short leg.

Answer:

9 x 6=  9 x ( 3+3 )

= 9 x 3 + 9 x 3

= 27 + 27

= 54

Step-by-step explanation:

A right triangle is a triangle which has one of it's angles equal to 90 degrees. The sum of all the internal angles for a triangle have to be equal to 180 degrees. The smalles ange will be called "x", therefore the sum of the internal angles of this triangle are:

The smallest is 28 degrees. The second one is:

The second is equal to 62 degrees and the third is equal to 90 degrees.

Answer: hello ima say first off Malia is my name lucky me my name is being used but for more serious matters... hope this helpssss

b)Claire runs 10km in 1 hour. In 2-1/2 hours, she runs (2-1/2 x 10) = 25 km.

c) Malia runs 5 miles in 1 hour

Step-by-step explanation:

Step-by-step explanation:

For one course:

6+8+5=

Two courses with appetizers and main meals (* means times)

6*8

Two courses with appetizers and dessert

6*5

Two courses with main meals and dessert

8*5

Some of the coordinates on the graph are (0, -15), (1, -13), (2, -11).

The graph of the equation is given below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The coordinates of the equation y + 7 = 2 (x - 4).

y + 7 = 2 (x - 4)

y = 2(x - 4) - 7

y = 2x - 8 - 7

y = 2x - 15

For x = 0,

y = - 15

(0, -15)

For x = 1,

y = 2 - 15 = -13

(1, -13)

For x = 2,

y = 4 - 15 = -11

(2, -11)

And so on...

Thus,

The graph of the equation is given below.

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Answer:

239 Remainder 4

Step-by-step explanation:

trust

brainliest please!!

i need it!!!

The value of x would be 7 and perimeter of equilateral triangle would be 75.

What is Equilateral triangle and perimeter of equilateral triangle?

An equilateral triangle is one with the equal length on all three sides. To calculate the perimeter of an equilateral triangle given its area, we must first determine the length of its sides.

An equilateral triangle has three congruent sides, so if AABC is equilateral, we know that AB = BC = AC. We can use this information to write an equation for x, the length of one of the sides.

AB = BC = AC

given equations are,

4x-3 and 2x+11

as we know that, all sides of equilateral triangle are equal then,

4x-3 = 2x+11

2x = 14

x = 7

The perimeter of an equilateral triangle = 3 x side of equilateral triangle

Here, all sides of equilateral triangle are equal then sides = 25

Perimeter of an equilateral triangle = 3 x 25

Perimeter of an equilateral triangle = 75

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Answer:

A.Positive

Step-by-step explanation:

both of them are positive numbers,and so their sum will also be a positive number

the graph of f(x) = x^3 - 3x^2 - 9x + 5 is concave down on the interval (-∞, 1), concave up on the interval (1, +∞), and has a point of inflection at x = 1.

To determine the intervals on which the graph of a function is concave up or concave down, we need to analyze the second derivative of the function. The concavity of a function can change at points where the second derivative changes sign.

Here's the step-by-step process to find the intervals of concavity and points of inflection:

Find the first derivative of the function, f'(x).

Find the second derivative of the function, f''(x).

Set f''(x) equal to zero and solve for x. The solutions give you the potential points of inflection.

Determine the intervals between the points found in step 3 and evaluate the sign of f''(x) in each interval. If f''(x) > 0, the graph is concave up; if f''(x) < 0, the graph is concave down.

Check the concavity at the points of inflection found in step 3 by evaluating the sign of f''(x) on either side of each point.

Let's go through an example to illustrate this process:

Example: Consider the function f(x) = x^3 - 3x^2 - 9x + 5.

Find the first derivative, f'(x):

f'(x) = 3x^2 - 6x - 9.

Find the second derivative, f''(x):

f''(x) = 6x - 6.

Set f''(x) equal to zero and solve for x:

6x - 6 = 0.

Solving for x, we get x = 1.

Therefore, the potential point of inflection is x = 1.

Determine the intervals and signs of f''(x):

Choose test points in each interval and evaluate f''(x).

Interval 1: (-∞, 1)

Choose x = 0 (test point):

f''(0) = 6(0) - 6 = -6.

Since f''(0) < 0, the graph is concave down in this interval.

Interval 2: (1, +∞)

Choose x = 2 (test point):

f''(2) = 6(2) - 6 = 6.

Since f''(2) > 0, the graph is concave up in this interval.

Check the concavity at the point of inflection:

Evaluate f''(x) on either side of x = 1.

Choose x = 0 (left side of x = 1):

f''(0) = -6.

Since f''(0) < 0, the graph is concave down on the left side of x = 1.

Choose x = 2 (right side of x = 1):

f''(2) = 6.

Since f''(2) > 0, the graph is concave up on the right side of x = 1.

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Answer:

10 notebooks

Step-by-step explanation:

Answer:

7 notebooks

Step-by-step explanation:

Answer:

w(3n)=12n+2

Step-by-step explanation:

. Explanation: to evaluate w(3n) substitute n=3n into w(n). ⇒w(3n)=4(3n)+2=12n+2.

Answer:

7% my answer i think if im mistake please dont report me

Answer:

Continuous data are data which can take any values. Examples include time, height and weight. Because continuous data can take any value, there are an infinite number of possible outcomes.

Answer:

\(p = (5) \times 4 + 2 \times (5) \times 3 + 8 \times (5) - 3 \\ p = 87\)