On the first 4 days of the week Shannon took 30 min, 28 min, 34 min, and 31 min to get to school. If the average time for the week was 31 min how long did Shannon take to get to school on Friday?​

Answer:

If you just type it in your calculator then you'll probably get the right answer.  

Step-by-step explanation:

The Total Probability of getting exactly two 3s in two throws is 1/36

What is Probability?

A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Solution:

Probability of Obtaining 3 in the first throw = 1/6

Since, the number of possible outcome is 11 and total outcomes are 6

Similarly the probability of getting 3 in the second throw is 1/6

Therefore, total probability = 1/6 * 1/6 = 1/36

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The area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.

The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

\(D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.\)

The coordinates of the points A, B, C, and D in the given figure are:

Finding the length of the line segments AD and CB, which will be the distance between A and D, and C and B respectively.

Thus, we get:

Length of line segment AD = |AD| = distance between A and D = \(\sqrt{(0-7)^2 + (7-(-2))^2} = \sqrt{7^2 + 9^2} = \sqrt{130} \: \rm units.\)

Similarly, we get:
|CB| = \(\sqrt{(-3-7)^2 + (-4-(-2))^2} = \sqrt{10^2 + 6^2} = \sqrt{136} \: \rm units.\)

If we take CB as the base of ABC triangle, then as AD is perpendicular on CB, and touches the peak of the triangle ABC from its base, so AD is height of the triangle.

Thus, as we know know that:

Thus, the area of the triangle ABC is:

\(A = \dfrac{base \times height}{2} = \dfrac{\sqrt{130} \times \sqrt{136}}{2} \approx 66.5 \: \rm unit^2\)

Thus, the area of the triangle ABC for the considered triangle plotted in the considered image is 66.5 sq. units approximately.

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Answer:

14/-11

Step-by-step explanation:

use the slope formula ( y2-y1/x2-x1)

Answer:\(-\frac{14}{11}\)

Step-by-step explanation: Formula (y2-y1)/(x2-x1)

(9+5)/(-2-9) = \(-\frac{14}{11}\)

Answer:

C. $844

Step-by-step explanation:

Just look at the chart and it says $844

Based on the steps for solving the equation, a true statement include the following: A. there are infinitely many solutions to the equation.

In Mathematics, no solution is sometimes referred to as zero solution, and an equation is said to have no solution when the left hand side and right hand side of the equation are not the same or equal.

In Mathematics, an equation is said to have an infinitely many solution when the left hand side and right hand side of the equation are the same or equal:

3x - 9x + 1 = 2(-3x + 1) - 1

-6x + 1 = -6x + 2 - 1

-6x + 1 = -6x + 1

When x = 1, we have:

-6(1) + 1 = -6(1) + 1

-5 = -5.

When x = 2, we have:

-6(2) + 1 = -6(2) + 1

-11 = -11.

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Answer:

212.50.

Step-by-step explanation:

The length of m is 15.6 cm.

A point where two lines meet produces an angle.

The breadth of the "opening" between these two rays is referred to as a "angle". It is depicted by the figure.

Radians, a unit of circularity or rotation, and degrees are two common units used to describe angles.

By connecting two rays at their ends, one can make an angle in geometry. The sides or limbs of the angle are what are meant by these rays.

The limbs and the vertex are the two main parts of an angle.

The common terminal of the two beams is the shared vertex.

113/7.5

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Answer:

t = 1.2, -1.2

Answer:

x=108

Step-by-step explanation:

x/3+6=12        \(\frac{x}{3+6}=12\)

1) 3+6=9

2) multiply both sides by 9

     9x/9=12*9   \(\frac{9x}{9}=12*9\)

3) Simplify

     9x/9=x    \(\frac{9x}{9}=x\) (9 cancels out)

     12*9=108

      x=108

Answer:

x = -3.5

y = 1.5

so W = (-3.5, 1.5)

Step-by-step explanation:

The data set's environment variable(s) are quantified on a nominal scale.

Describe data sets?

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The ratio of the lengths of  ( AD, IH ) is 2:1

A chord that passes through the center of the circle is known as diameter of he circle. Chords IH and EF are diameters of our given circle.

Point A is the center of this circle.

In the given diagram we have EF is the diameter of the circle.

BC is the chord of the circle and Diameter and chord length will vary.

AD is the radius of the circle and IH is the diameter of the circle.

Diameter of the circle IH is 2 times the radius AD

So,

The Answer is option B

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Answer:

m∠1 = 40°

Step-by-step explanation:

Measures of angle 1 and angle 2 are examples alternate exterior angles. Alternate exterior angles are basically a pair of angles that are outside the parallel lines and are on opposite sides of the transversal. In other words, alternate exterior angles are congruent to each other.

Since we are given that measure of angle 2 is 40°. Measure of angle 1 has to be 40° because both angle 1 and angle 2 are alternate exterior angles.

Answer:

For part D, x=5.217

Step-by-step explanation:

So essentially, all triangles have 180 degrees, so we an set up our equation as
55 + 8x + 15x + 5 = 180. We can simplify it to 60 + 23x = 180 by combining the like terms. Then we subtract 60 from both sides, getting us 23x = 120, and then we just divide 23 from both sides, and I just rounded the number to the thousandth place.

For part B, we an apply that same logic, and add 38 + 38 + 4x +... = 180. This gives us 76 + 4x+ ... = 180, and from there we just apply basic algebra. Hope this helps and lmk if you have and questions :D

The correct value of Jessica's new net salary will be $225.

To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.

Let's denote Sarah's gross salary as "G." We can set up the following equation:

G - 15% of G = $212.50

Simplifying the equation, we have:

G - 0.15G = $212.50

0.85G = $212.50

G = $212.50 / 0.85

G ≈ $250

Sarah's gross salary is approximately $250.

Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:

Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary

Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250

Jessica's net salary = $250 + $12.50 - $37.50

Jessica's net salary = $225

Therefore, Jessica's new net salary will be $225.

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Answer:

steps below

Step-by-step explanation:

3+2y = 2+4y

2y = 1

y = 1/2

Is it correct?

Answer:

On the left side, there are two large weights of mass y and three small weights of mass 1. Represent this side with the expression 2y + 3.

On the right side, there are four large weights of mass y and two small weights of mass 1. Represent this side with the expression 4y + 2.

The scale is balanced, so there is equal weight on each side. We can describe the relationship between the weight on each side of the scale using the equation 2y + 3 = 4y + 2.

Step-by-step explanation:

Answer:

x ≤ 6.25

Step-by-step explanation:

8x + 10  ≤  60

Subtract 10 from both sides

8x ≤ 50

Divide both side by 8

x ≤ 6.25

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Answer:

$56.82

Step-by-step explanation:

The sum of all the stuff she bought is 10+20+23, so 53.

Now you need to find the tax, so you multiply 53 x 7.2%, and to change a % to a number you move the decimal place two to the left, so you get .072

$53 x .072 = $3.816 sales tax

$53 for the stuff plus $3.816 tax = $56.816

and since money is only two decimal places and the 6 is higher than 5, you have to round up to the nearest penny, so $56.82!

Answer:

56.81$ she paid

Step-by-step explanation:

Answer: It would take the turtle a total of 4 hours to swim 10 kilometers

Step-by-step explanation:

3 × 10 = 30

30 ÷ 7.5 = 4

The quantity of candy that Eric ate would be = 14/15

The quantity of Candy Kim had = 2⅓ pounds.

The quantity of Kims candy that Eric ate = 2/5

That is 2/5 of 2⅓.

The actual quantity of candy that Eric ate = 2/5× 7/3 = 14/15

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For given data the scatterplot is shown below and the linear correlation coefficient is r = 0.4693

In this question we have been given a data.

We need to use a scatterplot and the linear correlation coefficient r to determine whether there is a correlation between the two variables.

Given data is:

x| 0.8 1.6 2.7 3.3 4.2 5.8 6.5 7 8.9 9.3 10.8 11.3 12.4 13.7 14.9

y| 3.8 1.9 12.6 9.4 8.2 7.1 4.1 0.1 11.9 13.3 14.1 8.5 9.6 7.4 14.1

The scatter plot for given data is as shown below.

An equation of the line of best fit is: y = 0.4623x + 4.9176

And the coefficient of correlation is:

r = √0.2202

r = 0.4693

Therefore, the scatterplot of given data is shown below.

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Answer:

6/6

I don't know how to solve this problem sorry

Answer:

it depends how fat you are....BUT the average speed would be 8 I THINK but i might be right

Step-by-step explanation:

Answer:

32 is 32% of 100

Step-by-step explanation:

Answer: 100

Step-by-step explanation: 32 is 32% of 100

The angle θ lies in quadrant 4.

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Given that csc(θ)<0 and cot(θ)<0. This implies csc(θ)<0 and cot(θ)<0 are negative.

You will recall that in 4th quadrant sin(θ) and tan(θ) are negative. Thus, csc (θ) and cot(θ) will also be negative

Therefore, θ lies in quadrant 4.

(Note: csc (θ) = 1/sin(θ) and cot(θ)= 1/tan(θ))

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Answer:

QUESTION:

Simplify: 90 - 5 (19 + 17-1-26)​

ANSWER:

45

Step-by-step explanation:

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Answer:

That is the distributive property.

Answer:

distributive property