two times the sum of a number and 3 is 8.​

Answer:

30

Step-by-step explanation:

it counting by 2s but backwards

Answer:

20

Step-by-step explanation:

subtract by 2

jajakkalalallalalslsl [ignore this]

Answer:

the answer is 38 cm

Step-by-step explanation:

10+6+(6x3)+4=38 the 2 missing numbers are 2cm and 3cm

Answer:

1) 11^42. [. ( a^b)^c is a^bc]

2) 5^5. [a^b/a^c= a^(b-c)

3) 14^24

4) 3^10

Answer:

A) P(X ≥ 3 ) = 0.7648

B) P(X ≥ 6) = 0.7515

C) P(X < 5) = 0.0949

D) P(X < 6) = 0.00031113

Yes. This is likely to happen if the true value of p is 0.65

E) P(X ≥ 17) = 0.012118

No. This is unlikely to happen if the true value of p is 0.65

Step-by-step explanation:

Solving this question means we have to deal with binomial probability distribution which follows a formula;

P(X = x) = C(n, x) * p^(x) * (1 - p)^(n - x)

We are given p = 65% = 0.65

A) probability of getting At least 3 out of the 5 business days, we have;

P(X ≥ 3 ) = P(X = 3) + P(X = 4) + P(X = 5)

And n = 5

Thus;

P(X = 3) = C(5, 3) × 0.65³ × (1 - 0.65)^(5 - 3)

P(X = 3) = 0.3364

P(X = 4) = C(5, 4) × 0.65⁴ × (1 - 0.65)^(5 - 4)

P(X = 4) = 0.3124

P(X = 5) = C(5, 5) × 0.65^(5) × (1 - 0.65)^(5 - 5)

P(X = 5) = 0.116

Thus;

P(X ≥ 3 ) = 0.3364 + 0.3124 + 0.116

P(X ≥ 3 ) = 0.7648

B) Probability of getting at least 6 out of the 10 business days.

P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

From online binomial calculator, we have;

P(X = 6) = 0.2377

P(X = 7) = 0.2522

P(X = 8) = 0.1757

P(X = 9) = 0.0725

P(X = 10) = 0.0134

P(X ≥ 6) = 0.2377 + 0.2522 + 0.1757 + 0.0725 + 0.0134

P(X ≥ 6) = 0.7515

C) probability of getting fewer than 5 out of the 10 business days.

P(X < 5) = P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)

From online binomial calculator, we have;

P(X = 4) = 0.0689

P(X = 3) = 0.0212

P(X = 2) = 0.0043

P(X = 1) = 0.0005

P(X < 5) = 0.0689 + 0.0212 + 0.0043 + 0.0005

P(X < 5) = 0.0949

D)probability of getting fewer than 6 out of the next 20 business days;

P(X < 6) = P(X = 5) + P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1)

From online binomial calculator, we have;

P(X = 5) = 0.000261

P(X = 4) = 0.000044

P(X = 3) = 0.0000056

P(X = 2) = 0.0000005

P(X = 1) = 0.00000003

P(X < 6) = 0.000261 + 0.000044 + 0.0000056 + 0.0000005 + 0.00000003

P(X < 6) = 0.00031113

Yes, in this scenario, It is likely to happen and I would think p is less than 0.65 because probability is less than 1 out of 1000.

E) probability of getting more than 17 out of the next 20 business days.

P(X ≥ 17) = P(X = 18) + P(X = 19) + P(X = 20)

From online binomial calculator, we have;

P(X = 18) = 0.0099846

P(X = 19) = 0.00195187

P(X = 20) = 0.00018125

P(X ≥ 17) = 0.0099846 + 0.00195187 + 0.00018125

P(X ≥ 17) = 0.012118

Probability is around 12 in 100 and not up to 50%. Thus, This is unlikely to happen if the true value of p is 0.65

Step-by-step explanation:

Spinner 2

Probability helps us to know the chances of an event occurring. Sam should use the second spinner.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that Sam plans to use a spinner to choose which friend to invite to the movies, he wants each friend to have a fair chance of being selected.

The term fair means that everyone or everything that is in the list should have equal opportunity.

Now, since Sam wants each friend to have a fair chance of being selected, therefore, the area on the spinner for each friend should be equal.

Hence, Sam should use the second spinner.

Learn more about Probability here:

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Answer:

1) 13 inches

2) 2z=x

3) 48 inches

Step-by-step explanation:

it snows 4/2 = 2 inches perhour

1. 2x 6.5 = 13 inches

2. y = 2z

3. 2x 24 = 48 inches

Answer:

145° I think

Step-by-step explanation:

the number sequence

Answer:

G

Step-by-step explanation:

Answer:

45/58 it is already in simplest form

Step-by-step explanation:

Answer:

1 17/40

Step-by-step explanation:

[tex]\frac{5}{8} + \frac{4}{5} \\[/tex]

Find the common denominator, which is 40

so then 5/8 = 25/40 and 4/5 = 32/40

[tex]\frac{25}{40} + \frac{32}{40} = \frac{57}{40} = 1 \frac{17}{40}[/tex]

Answer: y= k/m - x

Step-by-step explanation:

First you need to divide both sides by( M

(m(x+y)) / m = k/m

x + y - x = k/m - x

y = k/m - x

Answer:

3

Step-by-step explanation:

Answer:

X = 4

y = 15

Step-by-step explanation:

I hope that is useful for you :)

Answer:

Step-by-step explanation:

Since y has degree of 5, x has degree of:

The required term of the given binomial expansion (x - 3y)⁸ is:

The value of the constant:

So the full term is:

Answer:

where is the options

Step-by-step explanation:

please send full question

In ΔRST, s = 58 inches, ∠R=115° and ∠S=19°. the length of r, to the nearest 10th of an inch, is 365.9 Inches

Law of sines is a formula relating the length of the sides of a triangle to the angles of the triangle.

a/Sin A = b/Sin B = c/Sin C

Where a is the side facing angle A, b is the side facing angle B and c is the side facing angle C.

Hence,

58/Sin 19 = r/Sin 115

r = 58 Sin 115/ Sin 19

= 365.9 Inches

Therefore, In ΔRST, s = 58 inches, ∠R=115° and ∠S=19°. the length of r, to the nearest 10th of an inch, is 365.9 Inches.

Learn more about sine rule;

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Answer:

$57

Step-by-step explanation:

40%=0.4

95*0.4=38

95-38

57

Answer: they are corresponding

Step-by-step explanation:

this means they are basically in the same spot and they are congruent

Answer:

I suppose we start with sin³(2*x) and we want to get:

(1/2)*sin(2*x)*(1 - cos(4*x))

Here we will use the relationships:

cos²(x) + sin²(x) = 1

and

cos²(x) = (1 + cos(2x))/2

Now let's start:

sin³(2*x) = sin(2*x)*sin²(2*x)

and we can write:

sin²(2*x) = 1 - cos²(2*x)

replacing that in the above equation we get:

sin³(2*x) = sin(2*x)*sin²(2*x) = sin(2*x)*(1 - cos²(2*x))

now we can use: cos²(2*x) =  (1 + cos(2*2*x))/2

cos²(2*x) =  (1 + cos(4*x))/2

if we replace that in the equation above we get:

sin³(2*x) = sin(2*x)*(1 - cos²(2*x)) = sin(2*x)*( 1 -  (1 + cos(4*x))/2)

sin³(2*x) = sin(2*x)*( 1 -  1/2 - cos(4*x)/2)

sin³(2*x) = sin(2*x)*( 1/2 - cos(4*x)/2)

sin³(2*x) = sin(2*x)*(  1 - cos(4*x))/2

sin³(2*x) = (1/2)*sin(2*x)*(  1 - cos(4*x))

Answer:

864 squared

Step-by-step explanation:

Answer:

This is a right angle triangle so

[tex] {hyp}^{2} = {opp}^{2} + {adj}^{2} [/tex]

[tex] {42}^{2} = a {}^{2} + 30 {}^{2} \\ 1764 = a {}^{2} + 900 \\ {a }^{2} = 1764 - 900 \\ a { }^{2} = 864 \\ a = \sqrt{864 } \\ a = 29.39[/tex]

Answer:

-10

Step-by-step explanation:

x has to be less than -5. Since -10 is further away from 0 than any number it is the smallest. Also, -10 is more to the left.

Answer:

Acute isosceles triangle

Step-by-step explanation:

No angle is greater than 90 and it has two equal sides

Answer:

acute isosceles triangle

Step-by-step explanation:

All of the angles are less than 90 degrees and two of the side are the same length

Answer:

2nd picture is right......

Answer:

the second one

Step-by-step explanation:

it is a reflection of the triangle on the left

Answer:

Step-by-step explanation:

base area = 7² = 49 in²

lateral area = 4×½(7)(6) = 84 in²

surface area = 49 + 84 = 133 in²

Answer: 5400 cm^2

Step-by-step explanation:

15 x 20 x 9 x 2 = 5400

Answer:

5400

Step-by-step explanation:

to get volume you multiply length by width by height. so 15 x 20 x 9 which equals 2700. but there are 2 prisms, so you multiply by 2 which equates to 540

Answer:

D

Step-by-step explanation:

Answer:

make a story!

Step-by-step explanation:

I think what they want you to do is add a story Line to the problem! For example : John is selling cards for $4. After selling 3 cards etc, Sorry if this isn't much of a help! They want you to make a story to the answer (I think)

x = 6

Explanation:

use the pythagorean theorem which is a^2 + b^2 = c^2. 8 goes in either the a or b position and 10 is the longest side so it will go in the c position.