The triangle in this question is not drawn accurately.
Use Pythagoras' Theorem to explain why triangle A must be right-angled.
5 cm
12 cm
13 cm
55%

Answer: 245

Step-by-step explanation:

If you multiply 10 degrees by 18 that gets you 180. Add that to 65 and you get your total.

Answer:

temp after 18 minutes: 245

temp after t minutes: 65+10t

Answer:

width = 15 inches

length = 30 inches

Step-by-step explanation:

\(\sf \boxed{\text{\bf Perimeter of rectangle =2*length + 2*width}}\)

  Let width = x inches

     Length =  2*x = 2x inches

                 Perimeter = 90 inches

2 *length  + 2* width = 90

            2*2x  + 2*x     = 90

                   4x + 2x    = 90

Combine like terms,

                             6x = 90

Divide both sides by 6,

                                x = 90/6

                                x = 15

Dimensions:

Width = 15 inches

Length = 2*15 = 30 inches.

Answer: The equation that represents the other equation is \(y=\dfrac{1}{3}x+5\) .

The solution of the system is (3,6).

Step-by-step explanation:

Linear equation: \(y=mx+c\)  , where m= slope

c = y-intercept.

In the first table, the y-intercept = 5     [ y-intercept = value of y at x=0.

Slope for first table  = \(\dfrac{y_2-y_2}{x_2-x_1}=\dfrac{6-5}{3-0}=\dfrac{1}{3}\)

The equation that represents the first table:

\(y=\dfrac{1}{3}x+5\)

So, the equation that represents the other equation is \(y=\dfrac{1}{3}x+5\) .

Also, the solution of the system is the common point (x,y) that satisfy both equations in the system.

Here, x=3 and y=6 is the common value in both tables.

So, the solution of the system is (3,6).

The linear equation of the first table is y = 1 / 3 x + 5

The solution to the system of equation is (3, 6)

where

m = slope

b = y-intercept

Therefore, y = - 1 /3 x + 7 is the equation for the second table.

The equation for the first table can be solved using (0, 5)(3, 6) from the table. Therefore,

m = 6 - 5 / 3 - 0 = 1 / 3

let's find b using (0, 5)

5 = 1 / 3(0) + b

b = 5

Therefore, the equation of the first table is as follows:

The solution to the system of equation can be calculated as follows:

y + 1 /3 x  = 7

y - 1 / 3 x  = 5

2y = 12

y = 12 / 2

y = 6

6 - 1 / 3 x = 5

- 1 / 3 x = 5 - 6

- 1 / 3 x = - 1

x = 3

Therefore, the solution to the system of equation is (3, 6)

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Answer: Square and rectangle

Step-by-step explanation:

Answer:

M = 7p - 147

Step-by-step explanation:

Nicole is selling wing plates to fund raise. She's selling the plates for $7 each. She spent $147 on the ingredients and package for the plates. Which equation represents M, her profit of money, after selling p plates of wings?​

profit - sales - cost of goods sold

where p = number of plates sold

M = 7p - 147

A fraction is a way to describe a part of a whole. The fraction that can replace the question mark is 1/2.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The fraction that can replace the question mark is,

9 × ? = (3/2) + (3/2) + (3/2)

9 × ? = 3(3/2)

9 × ? = 9/2

9 × ? = 9/2

? = 9/(2×9)

? = 1/2

Hence, the fraction that can replace the question mark is 1/2.

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Answer:

Step-by-step explanation:

An expression to display a loss of 42 yards on the football field would be: -42 yards.

The negative sign in front of the number 42 indicates a loss or a decrease in the yards, which represents a loss of 42 yards on the football field.

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

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

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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Answer:

I believe ... yes

Step-by-step explanation:

Answer: 70

Step-by-step explanation: 21+21+14+14

Answer:

810 g flour

6 teaspoon (tsp) baking powder

12 tablespoons (tbsps) sugar

780 ml milk

6 egg

12 tablespoons (tbsps) oil

Step-by-step explanation:

24/4=6, so you need to multiply everything by six

Answer: 3√737

hope this helps ;)

Answer:

3

Step-by-step explanation:

ur welcome

Answer:

2

Step-by-step explanation:

I hope that helped

The probability of less than two students going to college if six students are randomly selected from a school of 125 graduating seniors, and all the parents make over $75,000 per year is 0.0014 or 0.14%.

Given, Probability of a high school student going to college, when the parents make over $75,000 per year is 0.60.The total number of graduating seniors is 125.And, six students are randomly selected.

Let X be the number of students who go to college.If we assume that each student is independent of each other, then the probability that a student goes to college is 0.60, and the probability that a student does not go to college is 1 - 0.60 = 0.40.

Then the probability mass function of X is given by,\(P(X = k) = nCk * pk * (1 - p)n - kwhere n = 6, k = 0,1.P(X < 2) = P(X = 0) + P(X = 1) = (6C0 * 0.6^0 * 0.4^6) + (6C1 * 0.6^1 * 0.4^5) = (1 * 1 * 0.01024) + (6 * 0.6 * 0.32768) = 0.0014\)or 0.14%.Therefore, the probability that less than two students will actually go to college is 0.0014 or 0.14%.

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Answer:

The smallest possible length for the 3rd side must be 4

Step-by-step explanation:

Any 2 sides combined must be greater than the 3rd side

Answer: C

Step-by-step explanation:

I just took the test

The correct answer is C. Trina is not correct because the two sides of the equation are equivalent.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

1. Let's solve for x

-8(x - 4) + 2x = -4(x - 8) -2x

-8x + 32 + 2x = -4x + 32 -2x

-6x + 32 = - 6x + 32

0 = 0

This equation has infinite solutions, any rational number fits as a solution for x in this equation. And as we can see both sides of it are equivalent.

Therefore, the correct answer is C. Trina is not correct because the two sides of the equation are equivalent.

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Answer:

Y² = (1-X) / 2

Step-by-step explanation:

According To The Question, We Have

X= Cos2t  &   Y= Sint

the cartesian equation of the curve is given by Y² = (1-X) / 2 .

Proof, Put The Value of X & Y in Cartesian Equation, We get

Sin²t = {1-(1-2×Sin²t)} / 2         [∴ Cos2t = 1 - 2×Sin²t]

Taking R.H.S

Jyotsana must sell the eggs at a price of 80.5 rs per hundred eggs to earn a profit of 15%.

Jyotsana bought 4000 eggs at a rate of 8.40 rs per dozen. We can calculate the cost of one egg as follows:

Cost of 1 egg = (Cost of 1 dozen) / 12

Cost of 1 egg = 8.40 / 12

Cost of 1 egg = 0.70 rs

To earn a profit of 15%, Jyotsana needs to sell the eggs at a price that is 15% more than her cost price. Let's call this selling price "x". To calculate "x", we need to first calculate the cost of 100 eggs, which is:

Cost of 100 eggs = 100 × Cost of 1 egg

Cost of 100 eggs = 100 × 0.70

Cost of 100 eggs = 70 rs

Now, Jyotsana wants to earn a profit of 15% on her cost price, which means her selling price should be:

x = Cost price per hundred eggs + 15% of Cost price per hundred eggs

x = 70 + (15/100) × 70

x = 70 + 10.5

x = 80.5 rs

Therefore, Jyotsana must sell the eggs at a price of 80.5 rs per hundred eggs to earn a profit of 15%.

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Answer:

I and IV

Step-by-step explanation:

based on the unity circle 0 and 360 is on the same plane..hope it's answerd

Answer:

a. 1.26

b. 0.1038

Step-by-step explanation:

The p-value is 1.0000 (rounded to four decimal places). This means that we fail to reject the null hypothesis, which in this case would be that the population mean is equal to the sample mean of 26.2.

To find the test statistic, we need to use the formula:

test statistic = (sample mean - population mean) / (standard deviation / square root of sample size)

Since the population standard deviation is given as 6, we can plug in the values:

test statistic = (26.2 - population mean) / (6 / √40)

To find the population mean, we can use the fact that the sample mean is an unbiased estimator of the population mean, so:

population mean = sample mean = 26.2

Plugging in the values, we get:

test statistic = (26.2 - 26.2) / (6 / √40) = 0

The test statistic is 0.

To find the p-value, we need to use a t-distribution table or calculator. Since we have a sample size of 40, we can use the t-distribution with 39 degrees of freedom.

Using a calculator or table, we can find that the area to the right of 0 (since the test statistic is 0) is 0.5. Since this is a two-tailed test, we need to double this value to get the p-value:

p-value = 2 * 0.5 = 1.0000
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The exact value of sin (A-B) in simplest form for positive acute angle A and B is found to be 221/1445.

We can use the trigonometric identity sin(A - B) = sinAcosB - cosAsinB to find the exact value of sin(A - B) for positive acute angles.

From the given information, we know that cosA = 4/5 and sinB = 8/17. Using identities, sin²A + cos²A = 1 and sin²B + cos²B = 1:

sinA = √(1 - cos²A)

= √(1 - (4/5)²)

= 3/5

cosB = √(1 - sin²B)

= √(1 - (8/17)²)

= 15/17

Now, we can substitute these values into the identity:

sin(A - B) = sinAcosB - cosAsinB

sin(A - B) = (3/5)(15/17) - (4/5)(8/17)

sin(A - B) = 9/17 - 32/85

sin(A - B) = (765 - 544)/1445

sin(A - B) = 221/1445

Therefore, the exact value of sin(A - B) in simplest form is 221/1445.

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Answer:

Its below

Step-by-step explanation:

1. 2000

2. 233

The colored pencils does jaime have more than talisa is 24

An arithmetic operator is a mathematical function that takes two operands and performs a calculation on them.

They are used in common arithmetic and most computer languages contain a set of such operators that can be used within equations to perform a number of types of sequential calculation. Basic arithmetic operators include:

:-Addition (+)

:-Subtraction (-)

:-Multiplication (×)

:-Division (÷)

so;

     A.T.Q:-

     The colored pencils does talisa have are 34

     The colored pencils does  jaime have are 58

   ∴ by using arithmetic operator Subtraction (-) , we conclude that how more colored pencils does jaime have than talisa

 ∵ jaime's colored pencils - talisa's colored pencils

 ⇒ 58-  34

 ⇒24

 hence; jaime have 24 pencils more than talisa

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The simplified form of the expression is -7/14, which is option C.

A fraction represents a portion of a whole. This whole may refer to a place or a group of places. The Latin word "fractio," which means "to break," is the source of the English word "fraction." The division of food and supplies as well as the lack of a bullion currency were among the mathematical issues that the Egyptians used fractions to solve because they were the first civilization to study fractions.

A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value).

The expression 4/14 - 11/14 can be simplified by finding a common denominator and combining the fractions:

4/14 - 11/14 = (4 - 11)/14 = -7/14

Hence, the simplified form of the expression is -7/14, which is option C.

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Answer:

X intercepts: (21,0)

Y intercepts: (0, -15)

Step-by-step explanation:

To find the x-intercept, substitute 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

Answer:

it is 270 minutes