What is the value of x in the diagram?
у
X
X-20

Answer:

1/100

Step-by-step explanation:

P(4 then 7) = 1/10 x 1/10

Answer:

0.5 or 1/2

Step-by-step explanation:

each number is half of the bigger triangle. so the answer should be half or 0.5.

EX: 48 x 0.5 = 24

Answer:

I'm sorry, I can help you with only this one :( ∠F = 44°

Step-by-step explanation:

∠F = 180° - (46° + 90°) = 44°

Answer:

103.424

Step-by-step explanation:

Answer:

The answwer is 103.424 I am taking this CFA 5th grade test right now because school is almsot going to end.

Step-by-step explanation:

Answer:

V≈ 863.27 in³

Step-by-step explanation:

Answer:

Approximately [tex]0.032[/tex] (or, equivalently, [tex]3.2\%[/tex],) assuming that the availabilities of the [tex]12[/tex] jurors are independent from one another.

Step-by-step explanation:

The question states that the probability that a given juror is unavailable is approximately [tex]0.25[/tex].

For the complement of that event, the probability that this particular juror is available would be [tex]1 - 0.25 = 0.75[/tex].

Assume that the availabilities of the [tex]12[/tex] jurors are independent from one another. The number of available jurors would be a binomial variable with [tex]n = 12[/tex] and [tex]p = 0.75[/tex] ([tex]12\![/tex] independent observations, each with a [tex]0.75[/tex] probability of being "available".)

Hence, the probability that all [tex]12[/tex] jurors are available would be:

[tex](0.75)^{12} \times (0.25)^{0} \approx 0.032 = 3.2\%[/tex].

2.5kg of sultana brand cost 4.80$

price of 1 kg sultana brand = 0.520$ per kg

1.5 kg of weetabix costs $2.95

price of 1 kg weetabix brand = 0.509$

The best buy is weetabix !

Answer:

Step-by-step explanation:

the circumference you make it using the diameter , pi times ( 3.142 times)

C = 13* 3.142 = 40.846

Answer: 58 books

Step-by-step explanation:

There are 35 English books on the shelf and this constitutes 60% of the total number of books on the shelf.

Denoting the total number as x, the total number is:

35 = 60% * x

x = 35 / 60%

= 58 books

Answer:

The side length of the larger square is 32

Step-by-step explanation:

Its 32 because the side lengths for the small square are 8 because  8 by 8 is 64. Multiply 8 by 4 which is 32.

Answer:

The side length of the larger frame is 128 inches.

Step-by-step explanation:

64 × 4 = 256

256 ÷ 2 = 128

Answer:

(5x + 16) + 102 + 92 + 100 = 360

(5x + 16) + 294  = 360

-294                   -294

5x + 16 = 66

-16           -16

5x = 50

Divide by 5 on both sides.

x = 10 degrees

A quadrilateral will always equal 360 degrees

A triangle will always equal 180 degrees.

Answer:

41.67%

Step-by-step explanation:

:)

Answer:

We know that:

Tan(x) = sin(x)/cos(x)

We know that:

Tan(θ) = 1 = sin(θ)/cos(θ)

we can rewrite this as:

sin(θ)/cos(θ) = 1

sin(θ) = cos(θ)

If you know the table of notable angles, the angle such that this is true is θ = 45°

sin(45°) = 1/√2 = cos(45°)

Now we want to find the value of:

sec(θ) + cosec(θ)

Where:

sec(θ) = 1/cos(θ)

cosec(θ) = 1/sin(θ)

And we already know the values of the sine and cosine function, then:

sec(45°) + cosec(45°) = 1/cos(45°) + 1/sin(45°) = 2*(1/( 1/√2)) = 2*√2

Then, given that:

Tan(θ) = 1

We can conclude that:

sec(θ) + cosec(θ) = 2*√2

Answer:

5,250 minutes

Step-by-step explanation:

0.5 cubic Centimeter = 0.0005 liter

So, 4.5 liters = 4,500 cubic Centimeter

Time required for 0.5 cubic Centimeter = 35 seconds

So, we can calculate the total time required by using following formula

Total time required = (Time required for 0.5 cubic Centimeter × 2 ) × 4,500 cubic Centimeter

So, Total time required = (35 seconds ×2 ) × 4,500

= 70 × 4,500

= 315,000 seconds

= 5,250 minutes

Answer:

0.75

Step-by-step explanation:

Given :

mean = 42000

Standard deviation = 24000

score, x = 60000

The Zscore :

Zscore = (score - mean) / standard deviation

(60000 - 42000) / 24000

18000 / 24000

= 0.75

Answer:

The answer would be $12. You would need to change the 30% to 0.3 then multiply by $20. Then take the -$6 and subtract it by $20.

Answer:

 [tex]l=238\ yards[/tex]

Step-by-step explanation:

From the question we are told that:

Area of Rectangle A=6183

Equation of Length

 [tex]l=9w-14[/tex]

Where

[tex]w=width\ of\ triangle[/tex]

Generally the equation for Area of Rectangle is mathematically given by

 [tex]A=(9w-14)w[/tex]

 [tex]A=9w^2-14w[/tex]

 [tex]6183=9w^2-14w[/tex]

 [tex]9w^2-14w-6183=0[/tex]

 [tex]w=28[/tex]

Therefore

 [tex]l=9(28)-14[/tex]

 [tex]l=238\ yards[/tex]

Answer:

6 (24÷3) -2

6 (8) -2

48-2

=46

Brackets of division multiplication add and subtract

Answer:

m<D = 14

Step-by-step explanation:

Exterior angles thm:

83 + 6x - 4 = 21x + 4

6x + 79 = 21x + 4

6x - 21x = 4 - 79

-15x = -75

x = 5

m<D:

6x - 4

6(3) - 4

18 - 4

14

Answer:

the correct answer is 6a³

Answer:

6a³

Step-by-step explanation:

First find the GCF of the numbers, which is the easy part...

The largest number that 24, 18, and 12 can all be divided by is 6.

So 6 is the first part of the GCF.

Now for the variable...

The smallest exponent in an instance of the variable is 3.

So a³ is the variable part.

GCF: 6a³

Answer:

30 ft²

Step-by-step explanation:

Area of a paralleogram formula:

A = bh

A = (6)(2)

A = 12

Area of a rectangle:

A = bh

A = 6(3)

A = 18

Combined:

12 + 18

30

Answer:

y = 14

Step-by-step explanation:

y = x^2 -5x

Let x =7

y = 7^2 -5*7

y = 49- 35

y = 14

Answer:

20

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

22.8

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2} \\20^{2} +11^{2} =x^{2} \\400+121=x^{2}\\\sqrt{521} =x\\\\or\\\\22.8 = x[/tex]

Answer:

Solution given:

[tex]4\frac{2}{3}÷7[/tex]

=[tex] \frac{4*3+2}{3}×\frac{1}{7}[/tex]

=[tex]\frac{14}{3*7}[/tex]

=[tex]\frac{2}{3}[/tex] is a required answer.

Answer:

The answer is 699...............

Answer:

699

Step-by-step explanation:

First replace the value k to 12.

So our new expression will be:

3+(71-13) times 12

You first do the  Parentheses so substract  71 minus 13 which gives you 58 then multiply 58 times 12 which gives you 696 then add 3 to it and you get 699.