Let the sample space be S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10). Suppose the outcomes are equally likely. Compute the probability of the event E = {5, 8).
P(E)=[(Type an integer or a decimal. Do not round.)

Answer:

I'm pretty sure it's the last option. Step 2; it should be m<o+m<p=180 degrees (supplementary angles)

Step-by-step explanation:

I think it's the last one since m<o and m<p are supplementary.

A tree diagram to calculate the probability of each of the four possible outcomes are 0.8, 0.8, 0.1, 0.06.

Bag A contains one red ball and one blue ball, whereas bag B contains two white balls and three black balls.

P(A) = 0.2

P(B) = 0.8

Probability of getting one red is 1/1 = 1

Probability of getting one blue is 1/1 = 1

Probability of getting one white ball is 1/2

Probability of getting 1 black ball is 1/3

Therefore, by tree diagram we get four possible probability that is  

0.8, 0.8, 0.1, 0.06.

A probability tree illustration is used to represent the probability of circumstance of events without using complicated formulas. It displays all the possible issues of an event. The purpose of a probability tree is that it shows all the possible issues of an event and calculates the probability of these issues. A probability tree illustration can either represent a series of independent events or it can be used to denote tentative chances.

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Answer:

Mikas is Saltier

Step-by-step explanation:

Brainliest please.


Jack used 1 tsp to 3 tsp of water Thats a fraction of 1/3

Mika Used 4 tsp to 9 tsp of water which its 4/9

4/9 is greater than 1/3

A triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). The translation direction is 2 units to the left. The number of units of the image of triangle JKL is 2 units to the left only.

Given that a triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4) and J′ at (−3, −5). We have to determine the translation direction and the number of units of the image of triangle JKL. Let's first find the translation direction to determine the image of triangle JKL.

Seeing the position of J and J', we can determine that the translation was made in the left direction because J has moved from the point (-1,-5) to (-3,-5). Thus, the translation direction is 2 units to the left. Now, let's calculate the number of units of the image of triangle JKL.

Let's draw a rough sketch of the triangle JKL and locate its vertices J(-1,-5), K(-2,-2), and L(2,-4).To find the number of units of the image of triangle JKL, we need to find the horizontal and vertical distances between the vertices of the original triangle and its image.

We can use the horizontal distance between J and J′ as a reference to calculate the remaining distances. J has moved 2 units to the left, so the horizontal distance between J and J′ is 2. Now, let's calculate the vertical distance between J and J′. The coordinates of J and J′ are (-1,-5) and (-3,-5), respectively.

The difference between the y-coordinates of J and J′ is 0, which means that J and J′ are on the same horizontal line. Therefore, the vertical distance between J and J′ is 0. Hence, the image of the triangle JKL has moved 2 units to the left and 0 units vertically. Thus, the number of units of the image of triangle JKL is 2 units to the left only.

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Answer:

A

Step-by-step explanation:

consider the coordinates of points C and A

C (4, - 1 ) and A (- 3, 2 )

4 → - 3 in the x- direction is - 7

- 1 → 2 in the y- direction is + 3

then the translation rule is

(x, y ) → (x - 7, y + 3 )

the value of P(Z>-1.56) is 0.9406

The value of P(Z<0.26) is 0.6026

For a standard normal distribution,

the standard normal distribution is also known as the Z - distribution

it is a very special type of distribution in which the value of mean is zero and the value of standard deviation is one.

the formula of standard normal distribution is

\(f(x)=\frac{1}{\sigma\sqrt{2\pi } } e^{\frac{-1}{2}(\frac{x-\mu}{\sigma})^2 }\)

(OR)

Z=\(\frac{x-\mu}{\sigma}\)

where

\(\mu\) is the value of mean

\(\sigma\) is the value of standard deviation

f(x) is the probability density function

now,

the value of P(Z>-1.56) is

P(Z> -1.56) = 1 - P(Z< -1.56)

                  => 1 - 0.05938

                  => 0.94062  (By rounding to 4 decimal places we get)

                  => 0.9406

P(Z<0.26)    = 1 - P(Z<0.26)

                    => 0.60257 (By rounding to 4 decimal places we get )

                     => 0.6026

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Step-by-step explanation:

The total distance biked by Yasmin on the first four days can be calculated as follows:

45 + 60 + 68 + 52 = 225 km

To find out how many kilometers she needs to bike on the last day to achieve an average of 58 km per day over the 5 days, we can set up an equation based on the formula for the mean:

(45 + 60 + 68 + 52 + x) / 5 = 58

Where x is the number of kilometers Yasmin needs to bike on the last day. Expanding the equation:

225 + x = 5 * 58

225 + x = 290

Subtracting 225 from both sides:

x = 65

So Yasmin needs to bike 65 kilometers on the last day to achieve an average of 58 kilometers per day over the 5 days

Answer:

£11.40

Step-by-step explanation:

She spent £1.55 + £1.30 = £2.85.

Now she has 3/4 of the original amount.

That means she spent 1/4 of the original amount.

£2.85 is 1/4 of the original amount.

The original amount is 4 × £2.85.

She started with £11.40.

You can solve it by writing an equation.

She started with x.

x - 2.85 = 3x/4

x/4 = 2.85

x = 11.40

Answer:

1. d thousandths

2. c ten thousandths

3. a tenths

4. d 6

5. a tenths

6. b five and four hundredths

Step-by-step explanation:

Answer:

36 square root 2 also known as C

Step-by-step explanation:

Answer:

y = 2x + 3

Step-by-step explanation:

You can find the slope on the graph by looking at the points. From one point to the next you go Up2Over1.

Up2Over1 is the slope and in actual algebra it is 2/1, which is just 2.



The slope is 2. Fill in 2 in place of m in

y = mx + b

y = 2x + b

Next the y-intercept which is the b, can also be seen on the graph. The y-intercept is where the graph crosses the y-axis. The line crosses the y-axis at 3. Fill in 3 in place of the b.

y = 2x + 3

Answer:

\(x=\frac{y+4}{6}\)

Step-by-step explanation:

y=6x−4

Swap sides so that all variable terms are on the left hand side.

6x−4=y

Add 4 to both sides.

6x=y+4

Divide both sides by 6.

\(\frac{6x}{6}=\frac{y+4}{6}\)

Dividing by 6 undoes the multiplication by 6.

\(x=\frac{y+4}{6}\)

Divide y+4 by 6.

\(x=\frac{y}{6} +\frac{2}{3}\)

ANSWER:

x=1/6y + 2/3

y= 6x - 4

Answer:

Angle A=87°

Step-by-step explanation:

(5x-3)°+(4x+21)°=180°

9x°+18°=180°

9x°+18°-18°=180°-18°

9x°=162°

9x°/9°=162°/9°

x=18°

Angle A=(5x18-3)°

(90-3)°

Angle A=87°

Answer:

Step-by-step explanation:

lan is 1.83m tall. Donna is 6cm shorter. What is Donna's height in metres? 1.77m. Bath. √34°. 20m. 11m. 11x14. Work out the range. 3 8 4 8 3 5 9. 9-3=6.

Answer:

180 inches

_________

         \(A = b * h = 15 * 12 = 180~inches\)

_________

Answer:

an example of an equation?

if you want one step you can try

10k=35

if you want two step

10k-17=18

Step-by-step explanation:

Answer:

(see below)

Step-by-step explanation:

First, you know that the first statement given is Given.

Now that you have that, you want to concentrate on your goal, and that goal is to prove that ΔGHI is an isosceles. To do this, you need to prove that the two base angles or two adjacent sides are congruent.

To do this, you can prove ΔGHJ ≅ ΔIHJ first, then use CPCTC.

Because HJ is the perpendicular bisector of GI, GJ ≅ IJ. this will be under Definition of Perpendicular Bisectors because it's a line which cuts a line segment into two equal parts at 90°.

This also means that ∠GJI and ∠IJH are right angles under Definition of Perpendicular Bisectors. Do not combine the two statements.

To clarify everything, ∠GJI ≅ ∠IJH because "all right angles are congruent."

It's also clear that these two triangles share a side, so HJ ≅ HJ. This is the Reflexive Property of Congruence, stating that for any real number a, a ≅ a.

Now you can prove these two triangles congruent by the SAS Postulate.

Using CPCTC, corresponding parts of congruent triangles are congruent, GH ≅ HI.

Your last statement should be ΔGHI is an isosceles because of Definition of Isosceles Triangle. You also want to state the statement exactly as given as the question.

Your proof should look something like IMAGE.A.

Answer:

x^-1 y^½ z^-2

We know that the diagram shows 3/4 of a fraction strip shaded.

Now, if Mary erases some of the shadings to show 5/8, that means she also added 4 more rectangles to have 8, then she shaded 5 of them.

Part A. She divided it by 3/4.

So, at this point, she got the whole unit without divisions.

Part B.

Answer:

y ≥ 14

Step-by-step explanation:

y - 27 ≥ -13

y ≥ -13 + 27

y ≥ 14

Answer:

i don't know i think its 20 in my opnian

Step-by-step explanation:

i don't know sorry

The missing number must make the expression a perfect square trinomial in the form \((a + b)^2\).

This means that the missing number must be equal to the product of the two factors outside the parentheses, minus the square of the number inside the parentheses.

In this case, the missing number must be equal to \(100x^2 - x^2, or 99x^2\).

Using the FOIL method (First, Outer, Inner, Last), we can expand \((x + x)^2 to get x^2 + 2x^2 + x^2\). Since the expression we are working with is \(100x^2 + 2x^2 + x^2\), the missing number is \(99x^2\).

Therefore, the missing number that makes this expression the square of a binomial is \(99x^2\).The missing number must make the expression a perfect square trinomial in the form \((a + b)^2\).

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Answer:

3 units

Step-by-step explanation:

The formula for the volume of the cone is given by

\(V=\frac{1}{3} \pi r^{2}h\)

\(V=18\pi\ unit^{3} \\\\ r=\frac{2x}{2} =x\ units \\ \\ h=2x\ units\)

Substituting in above formula

\(18\pi=\frac{1}{3} \pi*x^{2}*2x\\ \\ 54=2x^{3} \\ \\ x^{3} =27\\ \\ x=\sqrt[3]{27} \\ \\ x=3\ units\)

Thus, the radius of the cone is 3 units.

Plane ADF is another way to label Plane J.

In order to determine which of the given options is another way to label Plane J, we need to first identify the key characteristics of Plane J.

These characteristics are its points, lines, and planes that it contains. We can then use these characteristics to compare and match them with the given options.

Here are the key characteristics of Plane J: Points: J, A, D Lines: JA, JD, AD Planes: Plane J Now let's examine each option to see which one matches the characteristics of Plane J: Option A: Plane h This option is not a match since Plane h is not one of the planes that contain the points J, A, and D.

Option B: Plane ABD This option is not a match since Plane ABD contains points A, B, and D but not point J.

Option C: Plane EFG This option is not a match since Plane EFG contains points E, F, and G but not point J.

Option D: Plane ADF This option is a match since Plane ADF contains points A, D, and F which are all points that are contained in Plane J.

Therefore, Plane ADF is another way to label Plane J.

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Answer:

The answer is 3.

16/4=4

8/4=2

12/4=3

The value of the expression \(2(cos^4 60 + sin^4 30) -(tan^2 60 + cot^2 45) + 3\times sec^2 30 is 33/4.\)

Let's simplify the expression step by step:

Recall the values of trigonometric functions for common angles:

cos(60°) = 1/2

sin(30°) = 1/2

tan(60°) = √(3)

cot(45°) = 1

sec(30°) = 2

Substitute the values into the expression:

\(2(cos^4 60 + sin^4 30) - (tan^2 60 + cot^2 45) + 3sec^2 30\)

= \(2((1/2)^4 + (1/2)^4) - (\sqrt{(3)^2 + 1^2} ) + 3(2^2)\)

= 2(1/16 + 1/16) - (3 + 1) + 3*4

= 2(1/8) - 4 + 12

= 1/4 - 4 + 12

= -15/4 + 12

= -15/4 + 48/4

= 33/4

Therefore, the value of the expression \(2(cos^4 60 + sin^4 30) -(tan^2 60 + cot^2 45) + 3\times sec^2 30 is 33/4.\)

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Answer:

B. 48

Step-by-step explanation:

just took the test <3

Answer:

mArc FH = 48

Step-by-step explanation: