An experiment consists of spinning a spinner. Use the results in the table to find the experimental probability that the spinner does not land on yellow. Express your answer as a fraction in simplest form.

Red = 12
Blue = 10
Yellow = 6

A. 11/14
B. 3/7
C. 4/7
D. 3/14

Answer:

Step-by-step explanation:

Since the diagram to this question is not given ; we will just explain the concept of the right angled triangle and a means by which we can use the Pythagoras theorem in solving such related question.

A right angled triangle has to legs which serves as the base line in which the height of the right angle is 90°.

Now; If we have a base line AB; let say , we chose any convenient radius at a and bisect an arc. at the arc we make another arc to the right ; we will have an angle at A which is 60°, So B will form a straight line up serving the role of the right angle which is 90° and where both met will be C which is 30°

So now we have a triangle ABC, if the line facing ∠ A = a ; the line facing ∠ B = b and the line facing ∠ C = c

Then; we can solve for side c if ; side a and side b are known by using the Pythagoras theorem.

Using Pythagoras theorem.

a²  = b² + c²

-c² =  b² - a²

Multiplying through with -

c² = - b² + a²

[tex]\mathbf{ c = \sqrt{-b^2 + a^2}}[/tex]

Since ; we already make c the subject of the formula; from the missing diagram, we can easily slot the values of a and b given to solve for the value of c using the above derived equation.

I hope that helps!.

Answer:

20/27 or 0.74

Step-by-step explanation:

The total number of people is: 2+6+5+14 = 27

Total number of people that don't have a cat is: 6+14 = 20

20/27 = 0.74

Answer:

x = 2

Step-by-step explanation:

(DG + EF) / 2 = AB

(5x - 4 + 8x + 2) / 2 = 12

13x - 2 = 24

13x = 26

x = 2

Answer:

2 1/2 cups of vegetables

Step-by-step explanation:

This is an averages question, so add all numbers and divide by amount of numbers

2+1+2+1+3+6=15

15/6=2 1/2

Answer:

Nancy put 3 cups of vegetables in each container.

Step-by-step explanation:

1. Add the amount of vegetables together

2. Divided the number of vegetables by 5, since they are put into 5 separate containers.

____________________________________________________________2+1+2+1+3+6 = 15

15 divided by 5 or 5 x ? = 15

Answer:

what do u mean

Step-by-step explanation:

Answer: C. Her probability of winning is dependent event because it depends on the results of her friends rolls.

Step-by-step explanation: In probability, dependent event is an event that is affected by the outcome of another event.

In a dice there are 6 possibilities: numbers 1, 2, 3, 4, 5 and 6. To win the game, Taylor has to roll a number higher than 1 or 3, i.e. she has to roll the numbers 4, 5 or 6.

The probability of that happening is: P(a) = 3/6 = 1/2 = 50%.

Therefore, the events are dependents, because it depended on the outcome of the friends playing the game.

Answer:

20

Step-by-step explanation:

6p = 120

p = 120/6

p = 20

Answer:

A = 121 pi in^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi * 11^2

A = 121 pi in^2

Answer:

121 pi in^2

Step-by-step explanation:

Area = pi *. R^2

= pi x 11^2= 121pi. in^2

Hey there!

When dealing with percent word problems, the word "is" means equals. Let's see what we can do with your problem.

If the small school had 60% boys, it will have 40% girls. The number of boys is 48, which should equal 60% of the total, which we can model below, with t representing the total number of kids. In decimal form, 60% is 0.6.

0.6t=48

We divide both sides by 0.6.

t=80

Therefore, there are 80 total kids at the school.

We can also check our answer below.

BOYS: 0.6(80)= 48

GIRLS: 0.4(80)=32

48+32=80

I hope that this helps!

Answer:

to remove the brackets you need to multiple A by C and B by C and the / stays the same so it's (A×C)/(B×C)

Answer

Shown from explanation

Step-by-step explanation:

Imagine we have a set A and a set B such that set B is contained in set A .

Therefore;

A\B is a mathematical notation in set theory that means;

A\B = A-B it means complement of A

Look at the attachment for a better understanding of the concept.

Therefore:

(A\B) ×C = (A-B) × C = AxC - B× C= AC- BC

Similarly;

(A×C)\(B×C) = (AC)\(BC)= AC - BC from set theory.

Hence, (A\B) ×C =(A×C)\(B×C)

Answer:

x = 28

Step-by-step explanation:

(-14)+x=14

Add 14 to each side to isolate x

14+(-14)+x=14+14

x = 28

Answer:

[tex]x = 28[/tex]

Step-by-step explanation:

[tex] - 14 + x = 14 \\ x = 14 + 14 \\ x = 28[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Hello!

[tex]\boxed{ \bf The~volume~is~29.32~cm^3.}[/tex]

___________________________________________________

To find the volume of the cone, we must use a certain formula:

V = [tex]\frac{1}{3}[/tex]πr²h

Let's plug in our values:

V = [tex]\frac{1}{3}[/tex]π(2)²(7)

V =  [tex]\frac{1}{3}[/tex]π(4)(7)

V =  [tex]\frac{1}{3}[/tex]π(28)

V = 29.32

Answer:

x=1b(k+2)=1b(k+2.0)

= k+2/x

Step-by-step explanation:

Step 1: Add 2 to both sides.

Step 2: Divide both sides by x

Answer: x=1b(k+2)=1b(k+2.0)

Hope this helps.

Answer:

65

Step-by-step explanation:

Answer:

A placebo is a useless substance that takes the place of an actual drug

Step-by-step explanation:

This is to test to see if the drug actually does anything, or if the patients are really just deceived by their imagination

Answer:

D

Step-by-step explanation:

Yes, it does because it passes the vertical line test. We don't have to worry about the horizontal line test because it isn't a valid test. For example, let's imagine a parabola. That doesn't pass the horizontal line test, but it's still a function. This means that we can eliminate option B. We can do the same to C because a function doesn't necessarily have to be a straight line (like the parabola). That leaves us with options A and D. These both have to do with the vertical line test, so let's do it! If we place a vertical line anywhere on this graph, we will see that there are no vertical lines that intersect at 2 places with the graph. Therefore, it passes the vertical line test, and is a function. Hope this helps!

Hi there!

Answer:

-14.98%(or -15%).

Step-by-step explanation:

1)To find the percent decrease,all you have to do is minus the original number from the decreased amount so:

1435-1220= 215

2)Then you divide this answer by the original number again so:

215÷1435= 0.1498

3)Then you times the decimal by 100 so:

0.1489x100= -14.98%(or -15%).

Hope this helps!

Answer:

0/6

Step-by-step explanation:

because there are the numbers from 1-6 and no matter what you add you cant get it lower than 2 (1+1)

Answer:

Step-by-step explanation:

Multiples of 5  =  5  and 10

Ways to roll a 5  =  (1,4) ( 4,1)  (2,3) (3,2)

Ways to roll  a 10   =  (5,5) (4,6) (6,4)

We have  7  possible outcomes for a multiple of 5...and there are   36  possible outcomes in total  

So  P (multiple of 5)    = 7 / 36

Answer:

-14

Step-by-step explanation:

Answer:

-14

Step-by-step explanation:

-1 + (-4) + (-9)

-1 -4 -9 = -14

Note that a positive sign multiplying a negative sign in a bracket gives negative.

Answer:

45 sides

Step-by-step explanation:

If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides.

Answer:

[tex] V = 30.38 yd^2 * 3.8 yd = 115.44 yd^3[/tex]

Step-by-step explanation:

For this case we know that the base area is [tex]A = 30.38 yd^2[/tex]

And the height is [tex] h = 3.8 ft[/tex]

The volume for a rectangular prism is given by:

[tex] V = A h[/tex]

And replacing the info we got:

[tex] V = 30.38 yd^2 * 3.8 yd = 115.44 yd^3[/tex]

Answer:

Volume = 115.44 cubed yard

Step-by-step explanation:

Given that ;

base area = 30.38 square yards

height = 3.8 yards. ​

The volume for a rectangular prism is length * width * height

Area = length * width

we are given area = 30.38 square yards

Volume = Area * height

Volume = 30.38 square yards *  3.8 yards. ​

Volume = 115.44 cubed yard

Therefore, the answer is  = 115.44 cubed yard

Answer:

For every 6 gallons of vanilla ice cream frozen, the ice creamery freezes 2 gallons of chocolate ice cream.

Step-by-step explanation:

E-Z

Answer: r8

Step-by-step explanation:

The square root of r⁶⁴ is r³².

Here, we have,

The square root of a number r⁶⁴ can be found by taking the square root of the base (r) and dividing the exponent (64) by 2.

Square root of r⁶⁴:

√(r⁶⁴)

Since the exponent is even (64), we can divide it by 2:

√(r⁶⁴⁻²)

√(r³²)

Therefore, the square root of r⁶⁴ is r³².

To learn more on square root click:

brainly.com/question/29286039

#SPJ6

Answer:

We know nothing about Dylan so we can not write an expression about dylans weight.

Step-by-step explanation:

B- Bruce's Weight

A- Alan's Weight

B-A= H

Where H is how many more pounds that Bruce weighs than Alan.

Answer:

Bruce's weight in terms of Dylan's weight is 3d-12.

Alan's weight in terms of Dylan's weight is 2d+3

So, the expression (3d-12) -(2d+3) represents how much more  Bruce weighs than Alan.

Step-by-step explanation:

Answer: Neither function is odd.

Answer:

y = -x - 6

Step-by-step explanation:

I graphed the coordinate point on the graph and found an equation of the line that goes through the point with a slope of -1.

Answer:

y = -x - 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello!

To see if driving heavy equipment on wet soil compresses it causing harm to future crops, the penetrability of two types of soil were measured:

Sample 1: Compressed soil

X₁: penetrability of a plot with compressed soil.

n₁= 20 plots

X[bar]₁= 2.90

S₁= 0.14

Sample 2: Intermediate soil

X₂: penetrability of a plot with intermediate soil.

n₂= 20 (with outlier) n₂= 19 plots (without outlier)

X[bar]₂= 3.34 (with outlier) X[bar]₂= 2.29 (without outlier)

S₂= 0.32 (with outlier) S₂= 0.24 (without outlier)

Outlier: 4.26

Assuming all conditions are met and ignoring the outlier in the second sample, you have to construct a 99% CI for the difference between the average penetration in the compressed soil and the intermediate soil. To do so, you have to use a t-statistic for two independent samples:

Parámeter of interest: μ₁-μ₂

Interval:

[(X[bar]₁-X[bar]₂)±[tex]t_{n_1+n_2-2;1-\alpha/2}[/tex]*Sa[tex]\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }[/tex]]

[tex]t_{n_1+n_2-2;1-\alpha/2}= t_{20+19-2;1-(0.01/2)}= t_{37; 0.995}= 2.715[/tex]

[tex]Sa= \sqrt{\frac{(n_1-1)S_1^2+(n_2-1)S_2^2}{n_1+n_2-2} } = \sqrt{\frac{19*0.0196+18*0.0576}{20+19-2} }= 0.195= 0.20[/tex]

[(2.90-2.29)±2.715*0.20[tex]\sqrt{\frac{1}{20} +\frac{1}{19} }[/tex]]

[0.436; 0.784]

I hope this helps!

Using the t-distribution, it is found that the 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).

Using a calculator, we find that for the compressed soil, the mean and the standard deviation are given by:

[tex]\mu_C = 2.9075, s_C = 0.1427[/tex]

For the intermediate soil, omitting the high outlier of 4.26, we have that:

[tex]\mu_I = 3.2895, s_I = 0.2385[/tex]

The distribution of the decrease has mean and standard deviation given by:

[tex]\overline{x} = \mu_I - \mu_C = 3.2895 - 2.9075 = 0.382[/tex]

[tex]s = \sqrt{s_C^2 + s_I^2} = \sqrt{0.1427^2 + 0.2385^2} = 0.2779[/tex]

The interval is given by:

[tex]\overline{x} \pm ts[/tex]

By the conservative method, the amount of degrees of freedom is one less than the smaller sample size, which in this case is 19, for the intermediate soil.

Then:

[tex]\overline{x} - ts = 0.382 - 2.8784(0.2779) = -0.418[/tex]

[tex]\overline{x} + ts = 0.382 + 2.8784(0.2779) = 1.182[/tex]

The 99% confidence interval for the decrease in penetrability of compressed soil relative to intermediate soil is (-0.418, 1.182).

A similar problem is given at https://brainly.com/question/15180581

Answer:

It costs $154.88 to build the fences.

Step-by-step explanation:

Perimeter of square = [tex]4 \times Side[/tex]

We are given that A garden is in the shape of a square with a perimeter of  56 feet.

So,[tex]4 \times side = 56[/tex]

Side =[tex]\frac{56}{4}=14 feet[/tex]

So, Side of square park = 14 feet

One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside.

Outer length = 14+2+2=18 feet

So, Perimeter of outer fence = [tex]4 \times side = 4 \times 18 = 72 feet[/tex]

Cost of fencing 1 foot = $1.21

Cost of fencing 56 feet =[tex]56 \times 1.21=67.76[/tex]

Cost of fencing 72 feet = [tex]72 \times 1.21=87.12[/tex]

Total cost = 67.76+87.12=154.88

Hence It costs $154.88 to build the fences.

Answer:

[tex]x=\{-\frac{1}{2} ,\:0\}[/tex]

Step-by-step explanation:

[tex]f(x) =-2x^2 -x\\plug \: f(x) =0\\0= -2x^2 -x\\2x^2 + x = 0\\x(2x+1) = 0\\\therefore x =0 \: or \: 2x+1 = 0\\\therefore x =0 \: or \: 2x = -1\\\\\therefore x =0 \: or \: x = -\frac{1}{2} \\\\x=\{-\frac{1}{2} ,\:0\}[/tex]

Answer:

113.04ft^2

Step-by-step explanation:

Like before [tex]A=\pi r^2\\=\pi 6^2\\=113.04ft^2[/tex]