Right in equation in slope intercept form that passes through (2 -6) and has a Y intercept located at (0,-7)

Answer:

523.6

Step-by-step explanation:

Volume of sphere= 4/3πr^3

V=4/3π(5^3)

V=523.6 (correct to 1 dp)

Answer

The probability that X > 90 is 84.13%

SOLUTION

Problem Statement

The question requires us to find the probability that X is greater than 90 if X is a variable from a normal distribution with a population mean (µ) of 100 and population standard deviation(σ) of 10.

Method

- The normal distribution gives the probability density curve that helps us predict the probability of a certain event happening. This probability is represented by the area under this normal distribution curve.

- The event in question here is when X > 90. We need to find the area under the curve where this inequality is true; this area under the curve will give us the probability that X > 90 as requested in the question. This area is depicted below:

- To find the area under the curve (or Probability), we need to:

1. Find the Z-score associated with the inequality X >90 given a normal distribution of population mean of 100 and population standard deviation of 10. We use the formula below to find the Z-score:

2. Convert the Z-score to a probability using a Z table or a Z-score calculator. This probability is the probability we are looking for

Implementation

1. Find the Z-score:

2. Convert Z-score to probability:

Let us check the Z-distribution table to find the probability that corresponds to the Z-score.

In the Z-score table, we have:

This Z-score represents P(Z< -1) = 0.1587 (according to the table itself). But because we are looking for P(Z > -1), we need to subtract our answer from 1 to get the area under the curve to the right of X > 90.

That is:

Final Answer

The probability that X > 90 is 84.13%

Answer:  x = -⁷⁰⁄₇₁

Steps: −6(−10x − 1) − 3 = 10 − 11 (x + 7)

Expand: 60x + 3 = -11x - 67

Subtract 3 from both sides: 60x + 3 - 3= -11x - 67 - 3

Simplify: 60x = -11x - 70

Add 11x to both sides: 60x + 11x = -11x - 70 + 11x

Simplify: 71x = -70

Divide both sides by 71:   71x ÷ 71 = -70 ÷ 71

Simplify:  x = -⁷⁰⁄₇₁

Plz mark brainliest:)

Step-by-step explanation:

-6( -10x - 1)-3 = 10- 11(x +7)

60x +6 -3= 10- 11x - 77

60x+11x = -67-3

71x = -70

x= -70/71

Answer:

the dean bought more of swiss than cheddar because hee only bought  1.5 pounds of cheddar and 1.7 of swiss

Step-by-step explanation:

Answer:

The price of one gram of gold decreased by $1.25 from the beginning of week 1 to week 4.

Step-by-step explanation:

From the given chart;

The change in price between week 0 and week 1;

ΔP₁ = P₁ - P₀

1.5 = P₁ + 0

P₁ = 1.5

The change in price between week 1 and week 2;

ΔP₂ = P₂ - P₁

-3.375 = P₂ - 1.5

P₂ = -3.375 + 1.5

P₂ = -1.875

The change in price between week 2 and week 3;

ΔP₃ = P₃ - P₂

0.625 = P₃ - (-1.875)

0.625 = P₃ + 1.875

P₃ = 0.625 - 1.875

P₃ = -1.25

The change in price between week 3 and week 4;

ΔP₄ = P₄ - P₃

1.5 = P₄ - (-1.25)

1.5 = P₄ + 1.25

P₄ = 1.5 - 1.25

P₄ = 0.25

The change in price of one gold from the beginning of week 1 to end of week 4;

ΔP = P₄ - P₁

ΔP = 0.25 - 1.5

ΔP = -1.25

Thus, the price of one gram of gold decreased by $1.25 from the beginning of week 1 to week 4.

The perimeter of the given shape as represented in the task content is; 29 cm.

It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.

Since each grid line has 1cm as it's length;

The perimeter of the shape is the sum of all side lengths of the shape;

Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1

P = 29 cm

Hence, the perimeter of the shape is; 29 cm.

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The domain of the function on the graph include the following: A. all real numbers.

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-∞, ∞] or all real numbers.

Range = [-2, ∞}

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

x <-14

Step-by-step explanation:

Answer:

x is less than -14

Step-by-step explanation:

3- 1/2x is grater than 10

6-x is greater than 20

-x is grater than 20-6

-x is grater than 14

x is less than -14

answer x is less than -14

aa(my laptop doesnt have greater and less than signs so i had to spell it out)

hope it helps I tried my best

Answer: capitalized

Step-by-step explanation:

Answer:

Step-by-step explanation:

10

Ws

Answer:

60m²

Step-by-step explanation:

Area of the trapezoid attached = 1/2(a+b)*h

a and b are the opposite sides

h is the height

Given

a = 18m

b = 12m

h = 4m

Substitute

Area of the trapezoid = 1/2(18+12)*4

Area of the trapezoid = 1/2 * 30 * 4

Area of the trapezoid  = 120/2

Area of the trapezoid  = 60m²

Hence the area of the lawn is 60m²

To calculate the circumference of a circle, you can use the formula:

\(\displaystyle C=2\pi r\)

Where \(\displaystyle C\) represents the circumference and \(\displaystyle r\) represents the radius of the circle.

Given that the radius \(\displaystyle r\) is 8 inches, we can substitute this value into the formula:

\(\displaystyle C=2\pi (8)\)

Simplifying the expression:

\(\displaystyle C=16\pi \)

Thus, the circumference of a circle with a radius of 8 inches is \(\displaystyle 16\pi \) inches.

Note: \(\displaystyle \pi \) represents the mathematical constant pi, which is approximately equal to 3.14159.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

function

Step-by-step explanation:

we see 2 sets of values : for x and for y.

the set for x is {8, 0, -1, 9}

the set for y is {s, u, k, d}

for every element of set x there is an associated element of set y.

that is a function of x.

Therefore, the percent concentration of the first solution is 25%.

Let's call the percent concentration of the first solution x.

When we mix the two solutions, we end up with a total of 3 + 2 = 5 gallons of the new solution.

We can start by writing an equation based on the amount of pure alcohol in each solution:

\(3x + 2(0.65) = 5(0.41)\)

The left side of the equation represents the total amount of pure alcohol in the mixture. The first term, 3x, represents the amount of pure alcohol in the 3 gallons of the first solution. The second term, 2(0.65), represents the amount of pure alcohol in the 2 gallons of the second solution.

The right side of the equation represents the total amount of pure alcohol in the final 5-gallon mixture, which is the product of the 41% concentration and the 5 gallons of the mixture.

Simplifying the equation, we get:

\(3x + 1.3 = 2.05\)

Subtracting 1.3 from both sides, we get:

\(3x = 0.75\)

Dividing both sides by 3, we get:

\(x = 0.25\)

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The definite integral for this problem has the result given as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx = 212 - \ln{|\sec{5}|} + \ln{|\sec{1}|}\)

The definite integral for this problem is defined as follows:

\(\int_1^5 x^2 + 2x - \tan{x} dx\)

We have an integral of the sum, hence we can integrate each term, and then add them.

For the first two terms, applying the power rule, the integrals are given as follows:

The integral of the tangent is given as follows:

ln|sec(x)|

Then the integral is given as follows:

I = x³/3 + x² - ln|sec(x)|, from x = 1 to x = 5.

Applying the Fundamental Theorem of Calculus, the result of the integral is obtained as follows:

I = 5³/3 + 5² - ln|sec(5)| - (1³/3 + 1² - ln|sec(1)|)

I = 625/3 - 1/3 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 208 + 5 - 1 - ln|sec(5)| + ln|sec(1)|

I = 212 - ln|sec(5)| + ln|sec(1)|.

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(a) Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39
(b) The function is y = 3  (1.1)ˣ.

(c) It would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) It would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

(a)

Clicks Width of Door (inches)

1 3.3

2 3.63

3 3.99

4 4.39

(b) Let x be the number of clicks and y be the width of the door on the screen. Then, we can write the algebraic rule as:

y = 3  (1.1)ˣ

(c) To make the door approximately 3 feet wide on screen, we need to convert 3 feet to inches, which is 36 inches. Then, we need to solve for x in the equation:

3 (1.1)ˣ = 36

Dividing both sides by 3, we get:

(1.1)ˣ = 12

Taking the logarithm of both sides (with base 1.1), we get:

x = log(12) / log(1.1) ≈ 14.7

So, it would take about 15 clicks of the zoom-in button to make the door approximately 3 feet wide on the screen.

(d) To transform the display of the door from 3 feet wide back to a width of approximately 3 inches, we need to find the number of clicks of the zoom-out button that will result in a width of approximately 3 inches. We can use the same formula as before, but with the initial width of 36 inches (since we are zooming out):

36 (0.9)ˣ = 3

Dividing both sides by 36, we get:

(0.9)ˣ = 1/12

Taking the logarithm of both sides (with base 0.9), we get:

x = log(1/12) / log(0.9) ≈ 11.5

So, it would take about 12 clicks of the zoom-out button to transform the display of the door from 3 feet wide back to a width of approximately 3 inches.

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Answer:759

Step-by-step explanation:

Answer:

  x = 36

Step-by-step explanation:

Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.

The product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.

  24² = 12(12 +x)

  2·24 = 12 +x . . . . . . . divide by 12

  36 = x . . . . . . . . . subtract 12

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Answer: no<3

Step-by-step explanation:

leave a thanks if helped plz

B: (6,12,18,44,54)

I just did this and this was correct.

Answer:option B

Step-by-step explanation:i got it right trust me

Step-by-step explanation:

picture is not clear but I guess 2,-2

Answer:

2

Step-by-step explanation:

The difference between the two temperatures is 33 degrees.

The city's maximum temperature was 42 degrees and the minimum was 9 degrees.

The difference between the two temperatures can be calculated as follows;

The difference in temperature is the subtraction of the minimum temperature from the maximum temperature.

Therefore,

difference between the temperature = maximum temperature - minimum temperature

maximum temperature = 42 degrees

minimum temperature = 9 degrees

Hence,

difference between the temperature = 42 - 9

difference between the temperature = 33 degrees.

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Answer:

one third of the volume

Step-by-step explanation:

Answer:

no pasa nada

Step-by-step explanation:

espero que eso te ayude:)

Answer:

Cualquier número dividido entre si mismo da como resultado 1

Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.

\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)

Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)

Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)

Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .

Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .

The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.

There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.

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I would say  divide 3/5 by 1/10

The probability that at least 2 of the colors will be the same, the following is the best simulation is Option D Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

Given, Sienna buys a mystery pack of sparkly modeling clay. The pack has 5 colors, and there are 7 possible colors that are all equally likely. We have to find the probability that at least 2 of the colors will be the same. There are 5 colors in the pack of clay, and 7 colors are possible in total.

So, the probability of picking any color at random is

P(picking a color) = 5/7 = 0.7143Let P(X = 2) be the probability that exactly 2 of the colors are the same.

Then, the probability that at least 2 of the colors are the same can be calculated by using the formula:

P(X ≥ 2) = 1 - P(X < 2).

The simulation method that can be used to find the probability of at least 2 of the colors will be the same in the mystery pack is option D.

Put 5 pieces of paper in a bag, each labeled with a different color. For each trial, randomly select and replace a paper 7 times. Run 50 trials and find the fraction of times that at least two of the same color appear.

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Answer:

m∠6 = 50°

Step-by-step explanation:

We know that angles 3 and 6 are same side interior angles.  Whenever a traversal cuts through two parallel lines (AB and CD), the sum of the same side interior angles is always 180.

Thus, we can find the measure of ∠6 by subtracting the measure of ∠3 from 180:

m∠6 + m∠3 = 180°

m∠6 + 130° = 180°

m∠6 = 50°

Answer:55+52=107 and 55times5s equals 2860

Step-by-step explanation: