Out of 100 oranges 20%were eaten and 20% of the remaining were spoiled. Find the number of oranges left?
​

In July, Sacramento's mean temperature is 95 degrees with a standard deviation of 4.1 degrees. The probability of the temperature exceeding 99 degrees is 16.31%. The cutoff score for the top 33% is approximately 93.2 degrees.



To solve these problems, we need to use the standard normal distribution.

Finding P(temp > 99 degrees):

To find the probability of the temperature being greater than 99 degrees, we need to standardize the temperature using the formula z = (x - μ) / σ, where z is the z-score, x is the temperature, μ is the mean temperature, and σ is the standard deviation.

Given:μ = 95 degrees

σ = 4.1 degrees

x = 99 degrees

Standardizing the temperature:z = (99 - 95) / 4.1

z = 0.9756

Now, we need to find the probability corresponding to the z-score of 0.9756 using a standard normal distribution table or calculator. The probability can be interpreted as the area under the curve to the right of the z-score.

Using a standard normal distribution table, we find that the probability P(z > 0.9756) is approximately 0.1631.

Therefore, the probability of the temperature being greater than 99 degrees is approximately 0.1631, or 16.31%.

Finding the cutoff score for the top 33% of Sacramento temperatures in July:

To find the cutoff score for the top 33% of temperatures, we need to find the z-score that corresponds to a cumulative probability of 0.33.

Using a standard normal distribution table or calculator, we can find the z-score that corresponds to a cumulative probability of 0.33. Let's denote this z-score as z_cutoff.

z_cutoff = invNorm(0.33)  [where invNorm denotes the inverse of the standard normal cumulative distribution function]

Using a standard normal distribution table or calculator, we find that z_cutoff is approximately -0.4399.

Now, we can use the formula for z-score to find the actual temperature cutoff:z_cutoff = (x - μ) / σ

Plugging in the known values:-0.4399 = (x - 95) / 4.1

Solving for x:-0.4399 * 4.1 = x - 95

-1.80359 = x - 95

x = 93.1964

Therefore, the cutoff score for the top 33% of Sacramento temperatures in July is approximately 93.2 degrees.

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Answer:

$3.64

Step-by-step explanation:

Total cost: 8(0.79)=6.32

Change: 10-6.32=3.64

Answer:

His change would be $3.68. 3 dollars and 68 cents

Step-by-step explanation:

8 times 0.79 is $6.32. Subtract $10 - $6.32 which is $3.68

Answer:x

2

−

2

x

+

1

=

x

2

−

2

x

+

1

2

=

(

x

−

1

)

2

A perfect square trinomial is the square of a binomial, so will take the form:

a

2

+

2

a

b

+

b

2

since

(

a

+

b

)

2

=

a

2

+

2

a

b

+

b

2

So a perfect square trinomial satisfies the following conditions:

(1) Two of the terms are squares.

(2) The other term is twice the product of the square roots (positive or negative) of the other two terms.

If the two square terms are

a

2

and

b

2

then the trinomial is either

(

a

+

b

)

2

or

(

a

−

b

)

2

depending on the sign of the third term.

1). 1/3 + 1/5 = (5 + 3)/15

= 8/15. Ans.

2).

==> 3/5 - 1/6

= (3×5 - 5)/30

= (15 - 5)/30

= 10/30

= 1/3 Ans.

3).

==> 2/3 ÷ 3/4

= 2/3 × 4/3

= 8/9 Ans.

4).

==> 3/8 + 5/12

= (3×3 + 10)/24

= (9+10)/24

= 19/24 Ans.

5).

==> 5/16 - 3/32

= (5×2 - 3)/32

= (10-3)/32

= 7/32 Ans.

The lengths of the major and minor axis are 4√6 and 4√3.

A point on a curve is described by an ellipse if its location is such that the sum of the distances between its two focal points is a constant.

(x−h)²/ b² +(y- k)² /a² = 1

Given:

(x−3)²/ 27+(y+4)² /45=1

The above equation can be compared to the standard equation of an ellipse

(x−h)²/ b² +(y- k)² /a² = 1

where, (h, k) = coordinates of the center of the ellipse

a =  length of the semi major axis

b = length of the semi minor axis

By comparison, we have;

(h, k) = (3, -4)

a = √(24) = 2 x√6

b = √(12) = 2 x√3

and, length of the major axis = 2a

length of the minor axis = 2b

Thus, The length of the major axis is

2x a = 2 × 2 x √6 = 4√6

and, length of the minor axis is

2•b = 2 × 2√3 = 4√3

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Answer: 6sqrt(5) and 6sqrt(3)

Step-by-step explanation:

I took the test and these were the correct answers.

Answer:

Step-by-step explanation:

y = x + 8

x + y = 2

using substitution, since y is equal to x + 8 we substitute it for the y in x + y = 2

so we get: x + (x+8) =2

then we simplify, getting 2x + 8 = 2

We make the x on its own on one side of the equation by subtracting 8 on both sides.

2x = -6

divide

x = -3

y = 5

(if x = -3, y = 5 because -3 + 8 =5)

test answer

5 = -3 + 8 works and -3 + 5 = 2 works as well

Answer: a) Equation become xy=1 and the second part answer is b) y=1/21

Step-by-step explanation:

Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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Answer:

2/12

Step-by-step explanation:

The centipede that Maria measured was 1 1/12 inches long. If you convert this to an improper fraction it is equal to 13/12 inches. Now to find how much longer Maria's centipede was than Jeromes, you just take 11/12 and minus it from 13/12 which is equal to 2/12 of an inch.

Answer:

\(\huge\boxed{\sf DE = 9}\)

Step-by-step explanation:

From the figure,

AB = 2

BC = 3

AD = 6

Substitute in the given formula

\(\displaystyle \frac{AB}{BC} =\frac{AD}{DE} \\\\\frac{2}{3} = \frac{6}{DE} \\\\Cross \ Multiply \\\\2 \times DE = 6 \times 3\\\\2DE = 18\\\\Divide \ 2 \ to \ both \ sides\\\\DE = 18/2\\\\DE = 9\\\\\rule[225]{225}{2}\)

The standard deviation is the positive square root of the variance.

The variance is a measure of how spread out a set of data is. It is calculated as the average of the squared differences from the mean. The variance is always a non-negative number because the squared differences are always non-negative.

The standard deviation is the square root of the variance. It is also a measure of how spread out a set of data is, but it is expressed in the same units as the original data, whereas the variance is expressed in squared units. The standard deviation is always non-negative because it is the square root of the non-negative variance.

Therefore, the answer is (a) positive square root of the variance.

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Answer:

130°

Step-by-step explanation:

1. 59 + 71 (We do this because we want to find out their total to help us find out what the angle next to x is)

2. This should have given you 130°. Then, we will subtract 130 from 180 (180-130) (We do this because angles in a triangle add up to 180, so we want to find out what the single angle is).

3. This should have given you 50°. Since we know that angles on a straight line add up to 180°, we subtract 50 from 180 (180-50), and will eventually end up with 130°, so x=130°.

Let's look at the image and think about it for a second. We are given an exterior angle, and two opposite interior angles.

The sum of all angles in a triangle are equal to 180˚. If we look at angle ∠x , we notice something: it is a supplementary angle! ∠x + its supplementary angle is equivalent to 180. Conveniently enough, this supplementary angle is also an interior angle of the triangle.

You might be thinking, "Okay, so ∠x is a supplementary angle. Cool, so what?" Allow me to explain. Let's represent the unknown interior angle inside the triangle as 'n' (this isn't necessary to solve for x, but I'm just trying to prove how the solution works so you'll understand how to do these)

∠x + ∠n = 180˚ (These angles are supplementary)

∠n + 59˚ + 71˚ = 180˚ (The sum of interior angles of a triangle is 180˚)

If we isolate ∠n in both equations, then:

∠n = 180˚ - ∠x

∠n = 180˚ - 59˚ - 71˚

Since the right sides of both equations are equal, we can turn it into a single equation:

∠n = ∠n

180˚ - ∠x = 180˚ - 59˚ - 71˚

Isolate ∠x:

∠x = 59˚ + 71˚

So, what does this mean? This proof, essentially, establishes the fact that an exterior angle is equivalent to the sum of the two opposite interior angles. As you can see with the proof we made, ∠x is equal to the two opposite angles in the triangle, 59˚ and 71˚.

Now, let's get ourselves a definitive answer:

∠x = (59˚ + 71˚)

∠x = 130˚

If you have any further questions on how I got to the answer, just ask in the comments! Good luck!

- breezyツ

A swimming pool is 20.6m long, 8.5m broad, and has a water depth of 1.7m on average. The volume of water needed to fill the pool is 297.67 m³.

First we need to find the volume of the pool

length = 20.6

breadth = 8.5

height= 1.7

Volume of the pool = length × breadth × height

= 20.6 × 8.5 ×1.7

= 297.67 m³

volume of water needed to fill the pool = volume of the pool

= 297.67 m³

Volume is a three-dimensional space measurement. It is frequently numerically quantified using SI derived units (such as the cubic metre and litre) or other imperial or US customary measures (such as the gallon, quart, and cubic inch).

Volume is connected to the notion of length (cubed). The volume of a container is commonly believed to be its capacity; that is, the amount of fluid (gas or liquid) that the container can hold, rather than the amount of space that the container occupies.

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Answer:

Step-by-step explanation:

24 X c,

24 ÷ c,

24 + c,

24 - c,

24c

Answer:

x = 3

Step-by-step explanation:

5(5 + 19) = 6(6 + 4x + 2)

5(24) = 36 + 24x + 12

120 = 48 + 24x

72 = 24x

x = 3

The given situations can be categorized as follows: a) linear growth, b) exponential growth c) exponential growth.

a) The situation with a saving account that starts with $5000 and receives a deposit of $400 per month represents linear growth. Each month, the account balance increases by a fixed amount ($400), resulting in a linear increase over time. The relationship between time and account balance can be represented by a linear equation, where the account balance grows steadily at a constant rate.

b) The situation with the value of a house that increases by 1.5% per year represents exponential growth. The value of the house is increasing at a constant percentage rate each year. As time progresses, the growth becomes faster and compound interest is applied to the previous value. Exponential growth is characterized by a rapid increase over time, as the growth rate is proportional to the current value.

c) The situation with Megan's rabbits doubling each year represents exponential growth. Starting with 4 rabbits, the population doubles every year. This type of growth is typical in scenarios where there is exponential reproduction or expansion. The growth rate is proportional to the current population, leading to rapid growth over time.

The saving account scenario represents linear growth, the house value scenario represents exponential growth, and Megan's rabbits scenario represents exponential growth as well.

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Answer:

16

Step-by-step explanation:

5+3+5+3=16

Answer:

C) 16

Step-by-step explanation:

I hope this helps! I meant to put 16 NOT 15 earlier... SORRY. May I have brainliest?

Given that {X₂}n>1 is a supermartingale we need to prove that Yn := min(X₁, M) is also a supermartingale, where M is a constant. The supermartingale property: E[Yn+1 | Y₁, Y₂, ..., Yn] ≤ Yn.

To prove that Yn is a supermartingale, we need to show that it satisfies the supermartingale property.

First, let's define Yn+1 as the minimum of X₁ and M. Since Yn+1 is determined by X₁ and M, we can write it as Yn+1 = g(X₁, M), where g is a function that takes the minimum of X₁ and M.

Now, let's consider the conditional expectation E[Yn+1 | Y₁, Y₂, ..., Yn]. Since Yn+1 is determined by X₁ and M, we can rewrite the conditional expectation as E[g(X₁, M) | Y₁, Y₂, ..., Yn].

Since {X₂}n>1 is a supermartingale, we know that E[Xn+1 | X₁, X₂, ..., Xn] ≤ Xn.

Now, since Yn+1 = g(X₁, M), we can rewrite the inequality as E[Yn+1 | Y₁, Y₂, ..., Yn] ≤ Yn, which satisfies the supermartingale property.

Therefore, we have proved that if {X₂}n>1 is a supermartingale, then Yn := min(X₁, M) is also a supermartingale.

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The method used to determine the probability that a football team will win the next game is subjective.

The subjective method involves relying on personal judgment, experience, or expert opinion to estimate the probability of an event. In this case, the sports analyst has assessed various factors such as team performance, player injuries, historical data, and other relevant information to form their subjective opinion that the team's probability of winning is 0.37.

This method is based on the analyst's subjective assessment and may vary from one analyst to another. It does not involve any formal calculations or statistical techniques. The probability estimate is derived from the individual's knowledge, expertise, and perception of the situation.

It's important to note that subjective probabilities can be influenced by biases or personal opinions, and they may not always accurately reflect the true probability of an event. However, they can provide valuable insights and serve as a useful starting point for decision-making or further analysis.

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Answer: -1, 1.5, 3 1/12

Step-by-step explanation: I was tested on these type of questions

The completed statements with regards to the compound interest of the amount in the account are;

If the account has a 5% interest rate and is compounded monthly, you have $101.655 million money after 2 years

If the account has a 5% interest rate compounded continuously, you would have $106.096 million money after 2 years

Compound interest is the interest calculated based on the initial amount and the accumulated interests accrued from the periods before the present.

The compound interest formula indicates that we get;

\(A = P\cdot (1 + \frac{r}{n}) ^{n\cdot t}\)

Where;

P = The principal amount invested = $92 million

r = The interest rate = 5% monthly

n = The number of times the interest is compounded per annum = 12

t = The number of years = 2 years

Therefore; \(A = 92\cdot (1 + \frac{0.05}{12}) ^{12\times 2}\approx 101.655\)

The amount in the account after 2 years is therefore about $101.655 million

The formula for the amount in the account if the principal is compounded continuously, we get;

A = \(P\cdot e^{(r\cdot t)}\)

Therefore, we get;

\(A = 96 \times e^{0.05 \times 2} \approx 106.096\)

The amount in the account after 2 years, compounded continuously therefore, is about $106.096 million

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Answer:

csc θ * sin θ

Simplified using trig identities:  

csc (x) = 1/sin(x)  

so, csc (0) = 1/sin(0)  

1/sin(0) * sin (0), the result will be sin(0) / sin (0) which is equal to 1.  

Therefore, the answer is 1.

Step-by-step explanation:

Expression in sin θ and cos θ below

4cos ec^2  2θ as 2 /    2 (4 sin θ cos θ )^2

or

cos ec^2 θ as 1 / sin ^2  θ

. Accept terms like

cos ec^2 θ = 1  +cot^2 θ =1 +  cot^2 θ /sin^2 θ

Answer:

154

Step-by-step explanation:

The mean height is 65

The median of the data is 61.

a) Mean is the average of the data. This is expressed as;

Mean = Sum/Sample space

Sum of heights =  34+48+52+61+76+76+61+84+61+39+83+61+79+81+56+88

Sum of heights = 1,040

Sample space = 16

Mean  = 1040/16

Mean  = 65

Hence the mean height is 65

Get the median. Rearrange in ascending order

34, 39, 48, 52, 56, 61, 61), 61, 61, (76, 76, 79, 81, 83, 84, 88

From the arrangement, we can see that 61 falls in the middle. Taking the average.

Median = 61+61/2

Median = 122/2

median =  61

Hence the median of the data is 61.

b) Find the histogram attached

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If the atmospheric pressure of 5 is measured in millibars, it would correspond to a pressure of 0.5 kPa or a pressure of approximately 1.47 inHg. However, this value should be considered as a rough estimate and would still be subject to the variability of atmospheric conditions.

It is not possible to accurately determine the altitude at which atmospheric pressure reaches 5 without additional information about the context and conditions of the atmosphere being considered. The atmospheric pressure at a given altitude can vary widely depending on factors such as temperature, humidity, and atmospheric composition.

However, in general, atmospheric pressure decreases with increasing altitude. At sea level, the standard atmospheric pressure is about 101.3 kilopascals (kPa). At an altitude of approximately 5.6 kilometers, the atmospheric pressure drops to around 50 kPa. However, this value can vary greatly depending on the conditions of the atmosphere being considered.

It is worth noting that atmospheric pressure is typically measured in units of kilopascals (kPa), millibars (mb), or inches of mercury (inHg). The conversion between these units is as follows:

1 kPa = 10 mb = 0.2953 inHg

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Your question seems incomplete. I could not find the exact question details online so I answered in general.

Answer:

64sq cm

Step-by-step explanation:

To find area of net of square pyramid, you have to find area of the 4 triangles and area of square bottom.

Triangle Area = 1/2bh (times 4 because there are 4 triangles.

Square Area = lw

TA= 4(1/2bh)

4(1/2*4*6)

4(1/2*24)

4(12)

TA= 48 sq cm

SA= lw

4*4

SA= 16 sq cm

48 sq cm + 16 sq cm = 64 sq cm

The numbers of the jerseys of 5 randomly selected Carolina Panthers would fall under the category of quantitative discrete data.

Quantitative data are numerical measurements or counts that can be added, subtracted, averaged, or otherwise subjected to arithmetic operations. Discrete data, on the other hand, can only take on specific, whole number values, as opposed to continuous data which can take on any value within a range.

Qualitative data, on the other hand, are non-numerical data that cannot be measured or counted numerically. Examples include colors, names, opinions, and preferences. Since the numbers of the jerseys are specific numerical values, they are considered quantitative data.

Since they can only take on specific, whole number values (i.e. the jersey numbers are not continuous values like weights or heights), they are considered discrete data. Therefore, the correct option for the given question is option "quantitative discrete".

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Answer:

g(x)=3^x+7

Step-by-step explanation:

f(0)=3^0

that is the y-intercept

now we can take the known y-intercept of g(x) which is 8 and then we can get our b in the y=mx+b equation.