In a class of 30 students, 6 have a brother and 12 have a sister. There are 14 students
who do not have any siblings. What is the probability that a student chosen randomly
from the class has a brother and a sister?
HELPPPPPP

Answer:

the first one is scamer

Step-by-step explanation:

Answer:

Since the calculated value of  z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.

Step-by-step explanation:

The data given is

Population mean μ= $ 7.18

Population variance= σ²= 3.81

Population Standard Deviation = √σ²= √3.81= 1.952

Sample Mean= x`= $ 8.02

Sample Standard Deviation =s = $ 2.08

Sample Size = 15

Significance Level = ∝= 0.05

The null and alternate hypotheses are

H0: σ1=σ2 against the claim that Ha: σ1≠ σ2

where  σ1 is the population variance and

σ2 is the sample variance

The rejection region is Z ≥ ±1.96 for two tailed test  at ∝= 0.05

The test statistic z is used

z= x`-  μ/ σ/√n

Putting the values

Z= 8.02-7.18/1.952/√15

z= 0.84/0.51599

z= 1.6279

Since the calculated value of  z= 1.6279 does not fall in the critical region Z ≥ ±1.96 we conclude that there is no difference between the population variance and the sample variance.

Therefore ,the value of a given fraction is equal to 10/12, which equals 5/6, after resolving the given problem.

To represent a whole, divide it into any number of comparable parts, or fractions. How many units of a particular size there are is expression using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of the excess to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the fraction or reduction of a complex fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces.

Here,

Given : 5/8 X 4/3

=> 5/8 X 4/3 = 20/24

on condensing,

10/12 = 5/6

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Answer:

The answer is D

Step-by-step explanation:

took the test

The polar expression of a complex number in its rectangular form 4(cos120° + i sin120°) = -2 + 2√3 i.

Let Z = a + ib be a complex number in the cartesian form represented by point P(a, b) in the complex plane then Z = r cos∅ + i r sin∅ =r is called the polar form of a complex number.

We have.

z = 4(cos120° + i sin120°)

z = 4(cos(90 + 30)° + i sin(90 + 30)°)

Using trigonometry

cos (90 + ∅) = -sin ∅ and sin (90 + ∅) = -cos ∅

So, 4( -sin (30)° + i cos (30)°)

= 4 ( -1/2 + i √3/2)

= -4(-1/2) + i 4(√3/2)

= -2 + 2√3 i

Thus, the rectangular form is 4(cos120° + i sin120°) = -2 + 2√3 i.

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Answer:

178.48

Step-by-step explanation:

We are asked what is 46 percent out of 388.

To solve this, we need to follow the formula when finding the percentage of a number.

P being the percentage

X being the number

Y being the answer, the forumla is

Y = P * X

Substitute :

Y = 46% * 388

Convert the percentage into a decimal,

46%/100

0.46

Y = 0.46 * 388

Multiply :

178.48 = 0.46 * 388

178.48

your welcome btw

Answer:

if it is 46-2004 then the answer is  -1958

Step-by-step explanation:

Answer:b

Step-by-step explanation:

i took that test

Answer:

The mechanic spent 12 hours on the repair.

Step-by-step explanation:

The mechanic spent 12 hours on the repair.

Answer:

280 inches

Step-by-step explanation:

8 x 8 = 64

9 × 24 = 216

64 + 216 = 280

Answer:

b = 5

Step-by-step explanation:

The given equation is :

[tex]0.3x^2+5x-7=0[/tex] .......(1)

It is in the form of quadratic equation. The general form of a quadratic equation is as follows :

[tex]ax^2+bx+c=0[/tex] .....(2)

Comparing equations (1) and (2), we get :

a = 0.3, b = 5 and c = -7

Hence, the value of b is equal to 5.

Answer:

30 goats, and 40 animals

Step-by-step explanation:

so since the problem says 10 goats are in the garden, and the ratio of sheep to goats is 3:1 you do 3*10. it's basically saying for every 1 goat you have 3 sheep. so if you take away the 0 from 30 and 10 you get 3:1. : )

The value of the exponential graph y = ( 1/2 )ˣ is graphed

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

y =  ( 1/2 )ˣ   be equation (1)

On simplifying the equation , we get

y = 1 / (2ˣ)

Now , the graph of the function y =  ( 1/2 )ˣ  will be a slanting line which will not touch the x axis and passes through the point y = 1

The graph of the function y =  ( 1/2 )ˣ is given below

Hence , the function is solved and the graph is plotted

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Answer:

F. 4 ÷ 5

Step-by-step explanation:

Answer:Area = Length times Width

 5 1/4  times 3 3/4

5 x 4 + 1 = 21

21/4

3 x 4 +3 = 15

15/4

21/4 x 15/4 = 315 / 16 or 19 11/16 ft^2

Step-by-step explanation:

The value of x is 18.

An equation is an expression that shows the relationship between two or more numbers and variables.

First, both angles shown are equal to each other.

5x + 5 = 95

Next, the opposite side of the equation to isolate x value (5x).

5x + 5 (-5) = 95 (-5)

5x = 90

Finally, we need to divide both sides of the equation by 5.

5x / 5 = 90 / 5

x = 18

The final answer: x = 18

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The rectangle that has side lengths of 7 units and 8 units is (a) a rectangle that has an area of 56 square units

From the question, we have the following parameters that can be used in our computation:

Side lengths of 7 units and 8 units

These parameters can be represented as

Length = 7 units

Width = 8 units

Using the options in the question as a guide, we have the following computations

We start by calculating the area of the rectangle

The area of the rectangle can be calculated using the following area formula

Area = length * width

Substitute the known values in the above equation, so, we have the following representation

Area = 7 * 8

Evaluate

Area = 56

Hence, the rectangle is (a)

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Complete question

Which rectangle has side lengths of 7 units and 8 units?

(a) a rectangle that has an area of 56 square units

(b) a rectangle that has a perimeter of 56 square units

(c) a rectangle that has an area of 65 square units

(b) a rectangle that has a perimeter of 6 units

Answer:

109.18

Step-by-step explanation:

Subtract 13.4-7.2 then solve the triangle (base x height) getting 32.86. Next solve the rectangle getting 76.32. Then add all of it concluding in 109.18.

Step-by-step explanation:

The space comprising all possible outcomes (sample space) is represented by the 6×66×6 matrix formed by the possible pairs representing the outcome of dice:

From the above sample space, there are six events wherein the first die is 44 (all elements of the fourth row in the matrix). That is, n(F)=6n(F)=6. Moreover, there are six events wherein doubles are rolled (all diagonal elements in the matrix). That is, n(D)=6n(D)=6. The result (4,4)(4,4) is the intersection of both events. That is, n(D∩F)=1n(D∩F)=1.

Therefore, the possibility/probability that the first die is 4 or that doubles are rolled is computed as follows:

P(D∪F)=P(D)+P(F)−P(D∩F)=n(D)n(S)+n(F)n(S)−n(D∩F)n(S)=636+636−136=1136P(D∪F)=P(D)+P(F)−P(D∩F)=n(D)n(S)+n(F)n(S)−n(D∩F)n(S)=636+636−136=1136

The expression can be written as [tex]90,000(3.71)^{\frac{t}{5} }[/tex]

A function whose value is a constant raised to the power of the argument, especially the function where the constant is e.

Given that, we have to express the function [tex]f(t) = 90,000(1.3)^t[/tex] in the form of [tex]f(t) = ab^{\frac{t}{5} }[/tex]

Comparing both the functions,

[tex]b^\frac{t}{5} = (1.3)^t[/tex]

We can write, [tex](1.3)^t[/tex] as

[tex](1.3)^t = (1.3^5)^\frac{t}{5}[/tex]

[tex]= 3.71^\frac{t}{5}[/tex]

Therefore, the equation ca be written as,  [tex]90,000(3.71)^{\frac{t}{5} }[/tex]

Hence, the expression can be written as [tex]90,000(3.71)^{\frac{t}{5} }[/tex]

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Answer:

$0.90

Step-by-step explanation:

[tex]\frac{4}{10}=0.4[/tex]

3 dozen = 36

[tex]\frac{36}{0.4} =\frac{y}{0.1}[/tex]

0.4 × y = 36 × 0.1

0.4y = 3.6

0.4y ÷ 0.4 = 3.6 ÷ 0.4

y = 9

Answer:

If you have two points, (x1, y1) and (x2, y2), you can define the exponential function that passes through these points by substituting them in the equation y = abx and solving for a and b. In general, you have to solve this pair of equations: y1 = abx1 and y2 = abx2, .

Step-by-step explanation:

Answer:

tanga bono ulaga kase tatamadtamad

Answer:

4 x 8.5 x 12.5 =425 (multiple hight x width x length)

The volume of the box is [tex]425in^{3}[/tex]

Answer:

425 in³

Step-by-step explanation:

V = whl

12 1/2 · 8 1/2 · 4 = 425

Answer:

u=4

v=2√3

Step-by-step explanation:

The 30-60-90 triangle theorem states that the shortest side of a triangle is half of the hypotenuse, so 2*2=4. So, the hypotenuse, u, is 4.

The longest leg is √3 times greater than the shortest leg, so 2*√3=2√3. So, the longest leg, v, is 2√3.

Answer:

( d ) grease

Step-by-step explanation:

Grease could be effectively used to reduce friction.

Answer:

Read step by step explanation

Step-by-step explanation:

The owner already knows that the limit for the average time delivered pizzas is 38 minutes. So we conclude

1.-The resulting mean from sample data ( x ) ( 27 customers) need to be smaller than 38 minutes, any value of sample above 38 minutes means more time for the delivery action and will indicate a failure for the future project

2.-As sample size is smaller than 30 the test has to be  t-student one tail test to the left

Test hypothesis

Null hypothesis                       H₀                  x  = 38

Alternative hypothesis           Hₐ                  x  <  38

We should test at a significance level α  = 0,05       (α = 5%)

If the result of the test is to accept  H₀  delivery project won´t be implemented, if on the other hand, H₀ is rejected then in the condition of the alternative hypothesis we accept Hₐ the sample indicates that we have a smaller average time than 38 minutes.

Answer:

A.

What were the sixth grade student scores of the final exam?

Answer:

b.) x= 6, m∠XOY= 18

Step-by-step explanation:

comment if u need explanation :))