What is the value of x?

Answer:

Step-by-step explanation: There are 12 colours on a spinner,

Probability of red,orange, blue or green = 1/12×4 =4/12

=1/3

Probability of red,blue, orange or green= 1/12×4=1/3

Probability of not red= 1-1/12

=11/12

Answer:

The 90% confidence interval, C.I = (0.693, 0.7307)

Step-by-step explanation:

Catalysts 1 and catalyst 2 have the following statistical data;

Catalyst 1

The number of batches in the sample, n₁ = 12

The average yield by the 12 batches of catalyst 1, [tex]\overline x_1[/tex] = 85

The sample standard deviation, s₁ = 4

Catalyst 2

The number of batches in the sample, n₂ = 10

The average yield, [tex]\overline x_2[/tex] = 81

The standard deviation, s₂ = 5

F-test = s₂²/s₁² = 5²/4² = 1.5625

The degrees of freedom, df = n₁ + n₂ - 2

∴ df = 12 + 10 - 2 = 20

The critical-t at 90% confidence level = 1.725

The F-test < The critical-t, we pool the variance

The 90% confidence interval with the assumption of equal variance is given as follows;

[tex]The \ 90\% \ confidence \ interval= \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times (s_p) \times \sqrt{\dfrac{1^{2}}{n_{1}}+\dfrac{1^{2}}{n_{2}}}[/tex]

[tex]s_p =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]

Therefore;

[tex]s_p[/tex] = √((12 - 1)×4² + (10 - 1)×5²)/(12 + 10 - 2)) ≈ 4.48

Therefore, we get;

[tex]C.I. = \left (85- 81 \right )\pm 1.725 \times 4.48 \times \sqrt{\dfrac{1}{12}+\dfrac{1}{10}}[/tex]

The 90% confidence interval, C.I = 0.693 < μ₁ - μ₂ < 7.307 = (0.693, 0.7307).

k so here is your oc his full name is Carlos AKA cal

The value of the given expression will be 4.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given expression is as follows

[tex]=\dfrac{a+b}{a-b}[/tex]

a = 5 and b=3

[tex]=\dfrac{5+3}{5-3}=\dfrac{8}{2}=4[/tex]

Therefore the value of the given expression will be 4.

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Answer:

Explanation:

since there are 10 students who play neither sport over 30, this means 20 students play basketball or baseball or both! (among them 2 students who play both basketball and baseball)

∴ the probability that a student chosen randomly from the class plays basketball or baseball is 20/30 and that equals 2/3 or 66.66%

Answer:

[tex] \displaystyle S _{ \text{sphere}} =3629.84 {cm}^{2} [/tex]

Step-by-step explanation:

we are given a ball

remember that,a ball is a Sphere

thus,

[tex] \displaystyle S _{ \text{sphere}} = 4\pi {r}^{2} [/tex]

given that, redious is 17 cm

substitute:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times {17}^{2} [/tex]

simplify square:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times 289[/tex]

substitute the approximate value of π:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times 3.14 \times 289[/tex]

simplify multiplication:

[tex] \displaystyle S _{ \text{sphere}} =3629.84[/tex]

hence, the surface area of the sphere is 3629.84 cm²

Answer:

45

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

G'day m8!

Answer:

x = 50

Step-by-step explanation:

Note that the 3 interior angles must sum up to 180 degrees:

50 + x + 80 =180, or

50 + x = 100, or

x  = 50

Answer:

80

Step-by-step explanation:

You know that 20% of the school band are 16 clarinet players, or 16 is 20% of the band.

You can set up the equation 0.2x = 16 and divide both sides by 0.2. You then get that x = 80, so there are 80 kids in the school band.

Answer:

b is a answer I think so hmmm

Answer:

15x^2 + 14x - 8

Step-by-step explanation:

Use the FOIL Method.

(3x + 4) (5x - 2)

1. First: 15x^2

2. Outside: -6x

3. Inside: 20x

4. Last: -8

5. Put Together: 15x^2 - 6x + 20x - 8

6. Simplify: 15x^2 + 14x - 8

Answer:

4 and 5/29

Step-by-step explanation:

Answer:

mad symmetric without

Step-by-step explanation:

Answer:

20 5/24

Step-by-step explanation:

Answer:

a(x) = √x+3

Step-by-step explanation:

i graphed it on desmos

Answer:

5x+7=17

Step-by-step explanation:

5x+7=17

   -7    -7

----------------

5x=10

5      5

x=2

5(2)+7=17

10+7=17

17=17

The two step equations that equal 17 are:

1) 3x + 5 = 17

2) 2y - 8 = 17

The two examples of two-step equations that equal 17:

1) 3x + 5 = 17

To solve this equation, we subtract 5 from both sides:

3x + 5 - 5 = 17 - 5

3x = 12

Finally, we divide both sides by 3:

3x/3 = 12/3

x = 4

So the solution to the equation is x = 4.

2) 2y - 8 = 17

To solve this equation, we add 8 to both sides:

2y - 8 + 8 = 17 + 8

2y = 25

Next, we divide both sides by 2:

2y/2 = 25/2

y = 12.5

So, the solution to the equation is y = 12.5.

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Answer:

This is an english server.

Step-by-step explanation:

Respuesta :

siete porque 40/6 darian 6 y como sobran 4 le reparterian 1 a cada 1 por eso darian a a siete

Espero que te sirba

Answer:

96% percent and fraction is 24/25

Answer: Down below

Step-by-step explanation:

64 % = 16 / 25

21 / 50 = 0. 42

9 / 25 = 36 %

2 / 5 = 40 %

/ = divide okay

Answer:

12

Step-by-step explanation:

its a square all sides of the square are the same so 48 divided by 4 is 12

5 points is not a lot of points

Answer:

22+8x less then or equal to 60

Step-by-step explanation:

Debbie has at most $60 to spend

Then it will be <=60

Now she has to spend 22 dollars on jeans so 22 will be add to the initial amount for sure.

And

Let x be the number of t-shirts

Then the cost of x t-shirts will be 8x

Putting this in to inequality will be:

The inequality to find the maximum number of t-shirts is:

Answer:

Heyaa!! Im Pinky!! And Im Here To Inform You That Your Answer Is...

Step-by-step explanation:

!!!! A. 3/8 !!!!

My calculations:

      Given

   2/3 y = 1/4

  Multiply Each Sides by 3!

      2y = 3 ×  1/4= 3/4

 Then we can Divide both sides by 2!

 y= 3/4 ÷ 2 = 3/4 × 1/2 = 3/8!!

  Have An Amazingly Good Day!!! (or night!)

~Pinky~

Answer:

25

Step-by-step explanation:

if X = 4 then you would do

4(4) + 9

since 4 x 4 is 16

add that by 9

16 + 9 = 25

so the value of 4x + 9 = 25

Hope this helps

Answer:

[tex]Domain: \{1 \le x \le 3\}[/tex]

Step-by-step explanation:

Given

See attachment for options

Required

Determine the domain and the range

From the question, we understand that:

[tex]x \ge 1[/tex] --- at least 1 inch

[tex]x \le 3[/tex] --- not more than 3 inches

So, the domain is:

[tex]x \ge 1[/tex] and [tex]x \le 3[/tex]

Rewrite as:

[tex]1 \le x[/tex] and [tex]x \le 3[/tex]

Combine both:

[tex]1 \le x \le 3[/tex]

Hence, the domain is:

[tex]Domain: \{1 \le x \le 3\}[/tex]

There is no available to determine the range.

A general rule is that, substitute the limits of the domain (i.e. 1 and 3) in the function formula, the result is the range of the dataset.

For instance:

[tex]A(x) = 5x[/tex]

We have:

[tex]A(1) = 5*1=5[/tex]

[tex]A(3) = 5*3=15[/tex]

The range will be:

[tex]Range: \{5 \le A(x) \le 15\}[/tex]

Answer:

between 21 and 30 pounds in shelter A between 18 and 28 pounds in shelter B

Step-by-step explanation:

One half of the dogs in each shelter points at the the upper 50% of the dog weight. This point is marked by the median value up to the maximum weight value.

The median value is the point marked inside the box on a boxplot and the maximum value is the upper end or the endpoint of the whisker.

For SHELTER A:

Median = 21

Maximum = 30

Hence, For shelter A, it is the interval between 21 and 30

For shelter B:

Median = 18

Maximum = 28

Hence, it is the interval between 18 and 28

Answer:

it's c

Step-by-step explanation:

:)

Answer:

180 - (52 + 28) = x and then x = 100.

Step-by-step explanation:

A triangle's angles must ALWAYS add up to 180. No matter what. So, the problem gives us 2 of the three angles already, 52 and 28. 52 + 28 is 80. As I mentioned before, a triangle's angles must always add up to 180, so to find x, you must subtract 80 from 180, getting 100. Therefore, x is 100 degrees.

The equation we used to find that is: 180 - (52 + 28) = x.

52 and 28 are the two angles we know, and subtracting their sum from 180 gives us the missing angle.