(sina+cosa)3=3(sina+cosa)-2(sin 3+cos 3)​

First, state the null and alternate hypothesis for the hypothesis test

H0:p=0.52

Ha:p≠0.52

z=pˆ−p/√p(1−p)/n

z= pˆ−p divided by the square root of p(1−p) divided by the sample (n)

z= 0.49^-0.52/ √0.52 ( 1- 0.52) / 340 = -2.24

z=-2.24

When using rejection regions, we reject the null hypothesis, H0, if:

z<−zα for a left-tailed test

z>zα for a right-tailed test

|z|>zα/2 for a two-tailed test

Thus the decision rule is: Reject the null hypothesis, H0, if |z|>2.33.

Since the absolute value of the z test statistic, 2.24, is less than the critical value, 2.33, we fail to reject the null hypothesis.

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Answer:

66.67 in^3

Step-by-step explanation:

volume of a cylinder = nr^2h

Volume of a cone =  1/3(nr^2h)

n = 22/7

r = radius

the volume of a cone is 1/3 that of a cylinder

volume of the cone = 1/3 x (200) = 66.67 in^3

Answer:

x≤8

Step-by-step explanation:

x÷4≤2

Take the 4*2=8 Since you are dividing on one side, you do the opposite and multiply

Answer:

There were at most 8 fruit snacks in the bag.

Step-by-step explanation:

x÷4≤ 2

Multiply each side by 4

x≤ 8

All polar coordinates of point P where P = ordered pair 7 comma pi divided by 3 is (7, π/3 + 2nπ) or (-7, π/3 + (2n + 1)π)

In polar coordinates, the radius is always positive, so we take the positive value of 7. The angle can be any multiple of 2π added to π/3, giving us π/3 + 2nπ, where n is an integer. Additionally, since we have the option of moving in the negative direction, we can also add (2n + 1)π to the angle, resulting in π/3 + (2n + 1)π. Therefore, the correct answer is (7, π/3 + 2nπ) or (-7, π/3 + (2n + 1)π).

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Answer:

Step-by-step explanation:

if you divide 4928/77=64

choice C

Answer:

lmk what you mean and i will help you asap

Answer:

I am soso sorry give me like a day and i will have you an answer

Step-by-step explanation:

i don't uderstand

The amount of yoghurt used in 800 ml salad dressing is 300 ml.

Let the amount of yoghurt and mayonnaise used be 3x and 5x. So, forming the equation based on total amount.

3x + 5x = 800

Performing addition on Left Hand Side of the equation

8x = 800

x = 800 ÷ 8

Performing division on Right Jand Side of the equation

x = 100

So, the amount of yoghurt required = 3x

The amount of yoghurt = 3 × 100

Performing multiplication

The amount for yoghurt = 300 ml

Hence, the amount of yoghurt is 300 ml.

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Answer:

At most 5 tickets could be bought.

Answer:

all will be 45* angles except the 90* one because a triangle always has 180* angle if you add them all up

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the concept of Triangles.

1.) Sin x = 20/36 , hence x° = 33.74

2.) Sin n = 35/51, hence n° = 43.33

3.) Cos z = 18/21 , hence z° = 31.00

4.) Tan w = 15/6 , hence w° = 0.04

Answer:

7.13 each

Step-by-step explanation:

70 - 13 = 57. Divide 57/8 and get your answer

(7.125 rounded is 7.13)

Answer:

The scale is 1:6.

Step-by-step explanation:

3 1/2 feet = 36 + 6 = 42 inches.

42/7 = 6

So i inch on the drawing = 6 inches on the sign.

Answer:

6:1

Step-by-step explanation: convert 3 1/2 feet to inches 3x12 = 42. then you divide. 42/ 7 = 6 the scale is 1:6

Answer:

D.20

Step-by-step explanation:

4*5=20

Answer:

0.7

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

Simplified fraction=7/10. 7/10=0.7

The graph with an equation y = 6x has a slope of 6. If the slope is changed to 0, the equation becomes y = 0.

A linear function is in the form:

y = mx + b

Where m is the slope (rate of change) and b is the y intercept

The graph with an equation y = 6x has a slope of 6. If the slope is changed to 0, the equation becomes y = 0.

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Answer:

20m

Step-by-step explanation:

Given that there are m markers in Gino's art box, there are 5m crayons because there are 5 times as many crayons as there are markers. There are 4 times as many colored pencils as there are crayons so 4 x 5m= 20m crayons.

The answer is 20m

The value of the union of sets A and B is, P(A ∪ B) is 0.64.

The union of two sets means the total elements in both the sets combined.

Given: sets P(A) = 0.38, P(B) = 0.83, and  intersection P(A ∩ B) = 0.57

We need to find the union of P(A ∪ B).

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Let us substitute the given values in the formula.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

=0.38+0.83-0.57

=1.21-0.57

=0.64

Therefore, the value of union of sets P(A ∪ B) is 0.64.

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net cash flow - cash outflow = net cash inflow

Because u add net to the equation even if not equal or addiotion :0

Step-by-step explanation:

2/5 is closest to 1/2

5/8 is closest to 1/2

1/2 + 1/2 = 1

Answer:

Answer is 46.50

Step-by-step explanation:

I look everywhere and said it was this hehe

Answer: y=-3x-5

Step-by-step explanation:

(0,-5)   (-1,-2)

\(\displaystyle\\\frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1}\)

x₁=0     x₂=-1     y₁=-5    y₂=-2

\(\displaystyle\\\frac{x-0}{-1-0}=\frac{y-(-5)}{-2-(-5)} \\\\\frac{x}{-1} =\frac{y+5}{-2+5} \\\\-x=\frac{y+5}{3}\)

Multiply both parts of the equation by 3:

\(-3x=y+5\\\\-3x-5=y+5-5\\\\-3x-5=y\)

\(Thus,\ y=-3x-5\)

Answer:

no solution

Step-by-step explanation:

3x - 4 = 3x - 10

Subtract 3x from each side

3x-3x - 4 = 3x-3x - 10

-4 = -10

This is never true so there is no solution

Answer:

Step-by-step explanation:

I think you might have copied down the problem incorrectly.

If you try and solve this problem by moving the variables onto one side and the constants onto the other, you get:

3x-4=3x-10

   +10    +10

3x+6=3x

-3x     -3x

6=0 (which is FALSE)

Hope this helps!

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Joaquin will need 1 and two fifths cups to make his famous chocolate chip cookies for his friend's birthday party

To solve this problem we will use a rule of three with the problem information:

5 people-------- 1/4 cup of butter

28 people -------- x

Applying the rule of three we get:

x = ( 28 people * 1/4 cup of butter) / 5 people

x = 1,4 cup of butter

x = 1 + 2/5 cup of butter = 1 and two fifths cups

It describes the proportionality of 3 known data and an unknown data. When you have more than 3 known facts that are involved in the proportionality, it is known as a compound rule. The rule of three is also known as a direct proportions.

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Therefore, the approximate dimensions of the rectangle to the nearest tenth of a meter are width = 7.9 m and length = 10.8 m.

Area is a measure of the size of a two-dimensional surface or shape. It is typically expressed in square units, such as square meters (m²), square centimeters (cm²), square feet (ft²), or square inches (in²).

Here,

Let's denote the width of the rectangle as "w" in meters. Then, according to the problem statement, the length of the rectangle can be expressed in terms of the width as:

length = 2w - 5

The area of the rectangle is given as 97 square meters, so we can write:

area = length × width

Substituting the expression for length in terms of the width, we get:

area = (2w - 5) × w

Expanding this expression, we get a quadratic equation in standard form:

2w² - 5w - 97 = 0

We can solve this equation using the quadratic formula:

w = (-(-5) ± √((-5)² - 4×2×(-97))) / (2×2)

Simplifying this expression, we get:

w ≈ 7.9 or w ≈ -6.2

Since the width of a rectangle cannot be negative, we discard the negative solution and approximate the width to the nearest tenth of a meter:

w ≈ 7.9 m

Using the expression for the length in terms of the width, we can find the length:

length = 2w - 5

≈ 10.8 m

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Answer:

- 7x^2 + 3xy - 9y

Step-by-step explanation:

(2xy- 4x^2) - (9y + 3x^2 - xy)

Add the second polynomial:

Change all the signs in the second polynomial because it has a negative sign before the parentheses.

= 2xy - 4x^2 - 9y - 3x^2 + xy

Combine like terms:

(-4x^2 - 3x^2) + (2xy + xy) - 9y

= -7x^2 + 3xy - 9y

Answer:

In mathematics, the range of a function may refer to either of two closely related concepts: The codomain of the function The image of the function Given two sets X and Y, a binary relation f between X and Y is a function if for every x in X there is exactly one y in Y such that f relates x to y.

Step-by-step explanation:

Hope it help.

Answer:

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

Step-by-step explanation:

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This is an example of Stratified probability sampling, because here the samples are drawn at random and the conclusions based are  generalised to the population as a whole

A researcher conducting a study on streaming services divides the population of Netflix subscribers into four groups of users based on the type of material viewed and then sampling from within those groups. This is an example of what type of sampling?This is an example of Stratified probability sampling.What is stratified probability sampling?Stratified sampling is a type of probability sampling that divides the population into subgroups or strata based on relevant characteristics. The strata are then randomly chosen, and samples are obtained from within each stratum.

Stratified sampling may be useful in situations where researchers want to obtain a representative sample of a population while simultaneously ensuring that the sample is sufficiently representative of different subgroups within the population. It might be used, for example, in a study of people's attitudes about social media, with strata based on age or socioeconomic status.Stratified sampling, like all probability sampling methods, has the advantage of ensuring that the sample is representative of the population from which it was drawn. Because samples are drawn at random, the conclusions based on them can be generalised to the population as a whole.

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The total amount it costs Jeff and Valerie to fill up their vehicles.

The correct option is D.

bx is most likely the amount it costs Jeff and Valerie to fill up their cars because they both pay x dollars per gallon.

Ay = Megan Bx

= Valerie and Jeff

Ay + Bx = Megan + Valerie and Jeff

Algebra is a field of mathematics that assists in the depiction of problems or situations using mathematical expressions. To produce a meaningful mathematical expression, variables like as x, y, and z are used, as well as mathematical operations such as addition, subtraction, multiplication, and division.

Working from left to right, first complete multiplication and division, then addition and subtraction.

The principles of algebra include numbers, variables, constants, expressions, equations, linear equations, as well as quadratic equations.. It also includes basic mathematical operations such as addition, subtraction, multiplication, and division within algebraic equations.

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