95 +94/2
= 94.5
A. Identify and explain the error in this scenario.
B. Correct the error.

The probability that the cupcake picked at random contains walnuts is given as follows:

0.4 = 40%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

There are 30 cupcakes in a tin, hence the total number of outcomes is given as follows:

30.

The number of cupcakes with walnuts is given as follows:

Hence the probability that the cupcake picked at random contains walnuts is obtained as follows:

p = (3 + 9)/30

p = 12/30

p = 0.4.

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The values of

1. cosθ = √3/2

2. sinθ = √3/2

3. tanθ = 1

4. sec θ = 2/√3

5. cosec θ = 2/√3

6. cot θ = 1

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

cosθ = adj/hyp

sinθ = opp/hyp

tanθ = opp/adj

sec θ = 1/cosθ

cosec θ = 1/sinθ

cot θ = 1/tanθ

We need to find the hypotenuse of the triangle

x² = 3² +3²

x = √9+9

x = √18

x = 2√3

cosθ = 3/2√3 = 6√3/12

= √3/2

2. sinθ = 3/2√3 = √3/2

3. tanθ = 3/3 = 1

4. sec θ = 2/√3

5. cosec θ = 2/√3

6. cot θ = 1

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Answer:

60

Step-by-step explanation:tanI=  

adjacent

opposite

​  

=  

3.8

6.7

​  

\tan I = \frac{6.7}{3.8}

tanI=  

3.8

6.7

​  

I=\tan^{-1}(\frac{6.7}{3.8})

I=tan  

−1

(  

3.8

6.7

​  

)

I=60.44\approx 60^{\circ}

I=60.44≈60  

∘

To be parallel it needs the same slope which is 8x. Now just replace the + 10 with the given y intercept.

Answer y = 8x -5

Answer:

y = 8x -5

Step-by-step explanation:

-|2-x|=-7​

step 1

Find the positive solution

so

-(2-x)=-7

-2+x=-7

x=-7+2

x=-5

step 2

Find the negative solution

-(-(2-x))=-7

2-x=-7

x=2+7

x=9

therefore

the solutions are

Answer:

hope that will help you

In order to find the value of x, which coincides with one of the diagonals of the rhombus, use the following formula for the area of a rhombus:

A = (d1 · d2)/2

where d1 and d2 are the two diagonals of the figure.

In this case, you have:

A = 45

d1 = BD = 6

d2 = AC = x

replace the previous values of the parameters into the formula for A, and solve for x, as follow:

45 = (6·x)/2

45 = 3x divide by 3 both sides

45/3 = x

15 = x

x = 15

Hence, the value of x in the given rhombus ABCD, is 15 units

The solution is B, (x, y, z) = (-1, 0, 0).

Eliminate z from the last two equations:

(y + 2z) + 2 (x - y - z) = 0 + 2 (-1)

2x - y = -2

Eliminate y from this and the first equation:

(-3x + 2y) + 2 (2x - y) = 3 + 2 (-2)

x = -1

Solve for y :

2x - y = -2

2 (-1) - y = -2

y = 0

Solve for z :

x - y - z = -1

-1 - 0 - z = -1

z = 0

The volume of the given triangular prism is 384 cm³.

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Here, the area of the base is

Area of a rectangle = 1/2 ×Base×Height

= 1/2 ×12×4

= 24 cm²

Now the volume is 24×16

= 384 cm³

Therefore, the volume of the given triangular prism is 384 cm³.

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Answer:

$14000

Step-by-step explanation:

= (3500 x 0.8 x 5) / 100

= $14000

I hope my answer helps you.

Answer:

x<9/7 or x>9/7

Step-by-step explanation:

Sorry no step by step

Answer:

C.

Step-by-step explanation:

The slope intercept form is:

y= mx +b

so you first want to start off by looking for the equation with y being the sum. In this case, there is only one, so you don't have to do anymore work.

Answer:

first option

Step-by-step explanation:

Answer:

A. The total distance the car travels in miles between hours 3 and 7.

Step-by-step explanation:

I took the test!

From 2000 to 2015, total spending on personal consumption increased by 77.5%, while health care spending increased by 129.9%.

a. The approximate annual per capita spending on personal consumption in 2015 was $38,218. This figure was calculated by dividing the estimated total personal consumption expenditure of $12.3 trillion by the population of 321 million.

b. The approximate daily per capita spending on personal consumption in 2015 was $104.89. This figure was calculated by dividing the approximate annual per capita spending of $38,218 by 365 days.

c. Services accounted for approximately 67.2% of personal consumption spending in 2015. This figure was calculated by dividing the estimated total spending on services of $8.3 trillion by the total personal consumption expenditure of $12.3 trillion. This figure is consistent with my own spending, as the majority of my expenditure is devoted to services such as transportation, food delivery, and entertainment.

d. Health care accounted for approximately 17.1% of all personal consumption spending in 2015. This figure was calculated by dividing the estimated total spending on health care of $2.1 trillion by the total personal consumption expenditure of $12.3 trillion.

e. The percentage increase in total spending between 2000 and 2015 was 77.5%, while the percentage increase in health care spending between 2000 and 2015 was 129.9%. This was calculated by first subtracting the total spending on personal consumption in 2000 of $6.8 trillion from the total spending on personal consumption in 2015 of $12.3 trillion, and then dividing the result by the total spending in 2000. This was done for both total spending and health care spending, and the results were then multiplied by 100 to get the percentage increase.

From 2000 to 2015, total spending on personal consumption increased by 77.5%, while health care spending increased by 129.9%.

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Answer:27Step-by-step explanation:

Answer:

54 rolls of wrapping paper

Step-by-step explanation:

Carly = 18 rolls

Jasmine = (18×2) = 36 rolls

18 + 36 = 54 rolls

Hope it helps :D

Given statement solution is :- a) The area of one semi-circle at one end is  58.09 square feet.

b) The area of the garden is 274.42 square feet.

c) The area in square metres is approximately 58.09 square feet.

The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.

Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.

Now we can calculate the area of the semi-circle:

A = (π * 4.3²) / 2

A ≈ 58.09 square feet

b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.

Area of the rectangular portion = length * width

Area of the rectangular portion = 18.4 feet * 8.6 feet

Area of the rectangular portion ≈ 158.24 square feet

Area of the two semi-circles = 2 * (area of one semi-circle)

Area of the two semi-circles ≈ 2 * 58.09 square feet

Area of the two semi-circles ≈ 116.18 square feet

Total area of the garden = area of the rectangular portion + area of the two semi-circles

Total area of the garden ≈ 158.24 square feet + 116.18 square feet

Total area of the garden ≈ 274.42 square feet

c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.

Area in square meters = Total area of the garden * (0.3048)²

Area in square meters ≈ 274.42 square feet * 0.3048²

Area in square meters ≈ 25.49 square meters

Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

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Yes ,induction can be used to prove the following is true for every nonnegitive integer n.

If P (n) is true, so is P (n + 1) because this argument holds true for any nonnegative integer n, it establishes the second fact required by the induction proof. As a result of the Induction Principle, the predicate P (m) is true for all nonnegative integers, m.

Mathematical induction is a technique for proving the truth of a statement, theorem, or formula for each and every natural number n. This is generalized as the 'Principle of Mathematical Induction,' which we would use to prove any mathematical statement.

For instance, 13 +23 + 33 +..... +n3 = (n(n+1) / 2)

The statement is assumed to be true for all natural number values in this case.

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Answer:

c; 180 cm

Step-by-step explanation:

Answer:

y=9.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

5(0.3)+2y=20

1.5+2y=20

2y=20-1.5

2y=18.5

y=9.25

Answer:

The two angles that are directly across the intersection point from each other are called vertical angles. Vertical angles are always congruent.

Step-by-step explanation:

brainliest???

Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

Vertical angles are angles opposite to each other where two lines cross.

When two lines intersect, they naturally form two pairs of vertical angles. Vertical angles share the same vertex or corner, and are opposite each other.

These pair of angles are congruent which means they have the same angle measure.

Hence, Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

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Answer:

Common difference is 55

Step-by-step explanation:

C(m)=55m

Substitute m=1 to find the distance traveled by Mia in one hour

55m= 55(1)

= 55

Distance traveled in one hour is 55 miles. Substitute m=2 to find the distance traveled by Mia in 2 hours

55m=55(2)

= 110

Distance traveled in 2 hours is 110 miles. Substitute m=3 to find the distance traveled by Mia in 3 hours

55m=55(3)

= 165

Distance traveled in 3 hours is 165 miles. Substitute m=4 to find the distance traveled by Mia in 4 hours

55m=55(4)

=  220

Distance traveled in 4 hours is 220 miles. Then the common difference is

d=110-55=165-110=220-165=55

A normal distribution has a mean of 50 and a standard deviation of 3 , the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241  option a) 0.025.

In probability theory, normal distribution is also known as Gaussian distribution. It is a probability distribution that is symmetrical, bell-shaped, and a continuous probability distribution. It's also a part of continuous probability distribution that describes real-valued random variables whose probability density function is affected by two parameters: the mean μ and the variance σ².

Let us consider the problem. Suppose a normal distribution has a mean of 50 and a standard deviation of 3. Firstly, we need to standardize the random variable X that is to convert it to the standard normal distribution. We use the following formula for this Z = (X - μ) / σwhere X is the random variable and μ is the mean, σ is the standard deviation of the population.

So in this case, we can write this as Z = (44 - 50) / 3 = -2

We have now obtained the standard score or standard deviation for the random variable X.

Now we need to calculate the probability P(X ≤ 44) = P(Z ≤ -2).

The probability of Z being less than -2 is denoted by the area under the standard normal curve to the left of Z = -2.

Using the standard normal table we look for the probability that corresponds to -2 and the closest we find is 0.0228.

This probability represents the area under the standard normal distribution to the left of Z = -2.

To calculate the area to the left of Z = -2, we add the area to the left of the next integer, which is -3, which we find from the standard normal table as 0.0013, 0.0228 + 0.0013 = 0.0241.

Therefore, the probability P(X ≤ 44) = P(Z ≤ -2) = 0.0241 or 0.025 (rounded to three decimal places)Therefore, the answer is option A. 0.025.

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Answer:

1) 5.64

2) 17.321

1) \(\frac{21}{28}\)

2) \(\frac{16}{34}\)

3) \(\frac{28}{35}\)

4) \(\frac{32}{24}\)

Step-by-step explanation:

SOH - CAH - TOA

Sin = \(\frac{O}{H}\)   Cos = \(\frac{A}{H}\)  Tan = \(\frac{O}{A}\)      

O = opposite, A = adjacent, H = hypotenuse

First two,  use Pythagorean Theorem

If you want to calculate the angle on the last 4, use inverse of function and put in the ratio.

For example :

1) Tan Z = \(\frac{21}{28}\)

   \(Tan^{-1}\) ( \(\frac{21}{28}\))

Z = 36.9°

Answer:

0.080

Step-by-step explanation:

Its pretty self explanatory, it says it on the table. correct me if I’m wrong

Answer:

0.080

Step-by-step explanation:

The answer above is correct.

Answer:

      Equation to find x: \(60+2x+x=180\)

      x= 40°

Step-by-step explanation:

We should know that if we add all the angles of a triangle it will give us 180 so the formula you could use is \(m<1+m<2+m<3=180\) so now we plug in what we know.

\(60+2x+x=180\)

Once we got our equation we can solve for x.

\(60+2x+x=180\\60+3x=180\\3x=120\\x=40\)

The value of x is 58.51 degree.

We have,

Perpendicular= 8

Base = 4.9

Using trigonometry

tan x = Perpendicular/ Base

tan x = 8/4.9

tan x= 1.63265306122449

x = 58.51253064

Thus, the value of x is 58.51 degree.

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Answer:

Step-by-step explanation:

F:  3×26 = 78 ≠ 84

G:  4×21 = 84

H:  6×14 = 84

I:  7×12 = 84

Answer:

Rise=2 Run=1 type of slope is positive slope is 2 y int is 1 and the equation is y=2x+1

Step-by-step explanation:

1. First you need slope, slope is y1-x1/x2-y2 so then you get 4/2 which is 2, we also know rise/run so rise is 2

2. 2/1 so run is 1

3. its positive since slope is positve

4.  y int is when x is 0 and y has value so y int is 1

5.  y=2x+1 since slope and y int  

:D

Answer:

42 Units :)

Step-by-step explanation:

Answer:

B.42 on EDGE2022

Step-by-step explanation: