Sandy evaluated the expression below.
(-2) (6-3)-5(2+3)
(-2) (3) -5(5)
8(3) - 25
24-25
-1
What was Sandy's error?
Sandy should have evaluated (-2) as-8.
O Sandy should have not multiplied 5 and 5.
O Sandy did not add 2 and 3 correctly.
O Sandy should have not subtracted 3 from 6 first

Number of cars that coasted more than 10.75 feet = 1

To solve this problem, you need to compare the distance each car coasted to 10.75 feet, which is the threshold for determining whether a car coasted more or less than 10.75 feet.

Manuel's car coasted 10 feet, which is less than 10.75 feet, so it did not coast more than 10.75 feet.

Richard's car coasted 10.5 feet, which is also less than 10.75 feet, so it did not coast more than 10.75 feet either.

Diego's car coasted 102 feet, which is more than 10.75 feet. Therefore, only one car coasted more than 10.75 feet, and the answer is 1.

So the answer is:

Number of cars that coasted more than 10.75 feet = 1

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The customer have to choose 2002 ways to taste 5 different white wine.

The number of possible ways to choose items from a collection when the order of choice is irrelevant is determined using the combination formula. Combination, to put it simply, is the process of choosing items or things from a bigger group where order is irrelevant.

The combination formula is: n! / (n-r)! r! , where n is the total number of items (14 in this case) and r is the number of items being selected at once (5 in this case),

Plugging our numbers into the formula we get:

= 14! / (14-5)! 5!

= 2002

After simplifying, we get 2002.

So, there are 2002 ways of picking 5 different white wines to taste from a group of 14 local winery bottles.

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Answer:

x = 3.96

Step-by-step explanation:

The ratio for the big triangle is 5:6, so is likely the ratio for the smaller one.

3.3 x 6/5 = 3.96

6 / 3.96 =  1.51515151515

5 / 3.3 =  1.51515151515

Triangles are congruent.

Answer:

3.96 ft.

Step-by-step explanation:

Answer:

the answer is a

Step-by-step explanation:

Answer/ explaination

the answer is 108, not 180 because 9 goes into 7, 0 times but he put 8

Answer:

Equal to 1

Step-by-step explanation:

By using the exponential delta we can infer that the orthogonal is correct because the high order bits multivariate and are asymptomatic.

Answer:

66 cups

Step-by-step explanation:

16 cups in 1 gallon

16*6 = 96 cups in 6 gallons

96 - 30 = 66

Answer: \(4760\frac{39}{50}\)

Step-by-step explanation:

The quotient of the division  42,847 / 9 in mixed numbers is 4760 39/50.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given the division,

42847 / 9

42847 / 9 = 4760.777778

4760.777778 ⇒ 4760.78 (rounded to the nearest tenth).

4760.78  = 4760 + 0.78

⇒ 4760 + 78/100

⇒  4760 + 39/50

⇒  4760  39/50

Hence "The quotient of the division  42,847 / 9 in mixed numbers is 4760 39/50".

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Answer:

x = 31

Step-by-step explanation:

93 ÷ 3 = 31

so that means x equals 31

The linearized equation for the non-linear equation z = x² + 4xy + 6xy² in the region defined by 8 ≤ x ≤ 10, 2 ≤ y ≤ 4 is given by :

z ≈ 244 + 20(x - 8) + 128(y - 2).

When using the linearized equation to calculate the value of z at x = 8, y = 2, the error is 0.

1.1. To linearize the equation in the given region, we need to find the partial derivatives of z with respect to x and y:

∂z/∂x = 2x + 4y

∂z/∂y = 4x + 6xy

At the point (x₀, y₀) = (8, 2), we substitute these values:

∂z/∂x = 2(8) + 4(2) = 16 + 8 = 24

∂z/∂y = 4(8) + 6(8)(2) = 32 + 96 = 128

The linearized equation is given by:

z ≈ z₀ + ∂z/∂x * (x - x₀) + ∂z/∂y * (y - y₀)

Substituting the values, we get:

z ≈ z₀ + 24 * (x - 8) + 128 * (y - 2)

1.2. To find the error when using the linearized equation to calculate the value of z at x = 8, y = 2, we substitute these values:

z ≈ z₀ + 24 * (8 - 8) + 128 * (2 - 2)

= z₀

Therefore, the linearized equation gives the exact value of z at x = 8, y = 2, and the error is 0.

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Answer:

the answer for n is 5

Step-by-step explanation:

2 + n = 7

n = 7-2

n = 5

Answer:

b. His t-score is 40.

Step-by-step explanation:

The middle of the third stanine in a normal distribution means that the standard of nine that is applied has the middle of the third count.

It means that if we divide the normal distribution with the standard of nine we will find the score to be  the middle of the  third division.

So it will be (1/3*9=3) more than 3.

Which in normal distribution will be more than 30.

The t distribution is approximately normal when the number of degrees of freedom is greater than 30 .

So the best answer is that His t-score is 40  ( choice b).

Answer:

$105

Step-by-step explanation:

I used a proportion to solve this:

\(\frac{63}{3} = \frac{x}5}\)

Cross multiply:

3x = 315

Divide both sides by 3

x = 105

Answer:$105

Step-by-step explanation:

Salary for 3 hrs=$63

Salary for 5hrs= salary for one hour×5 hrs,

Salary for one hour= 63/3=$21

Salary for 5 hours= 21×5: $105

The true statements are

i. probability is usually between 0 and 1, inclusive.

ii. an event that is likely has a probability that is close to 1.

(option i and ii).

Probability is an important concept in mathematics and statistics that allows us to quantify the likelihood or chance of an event occurring. It is often represented as a number between 0 and 1, inclusive. A probability of 0 means that the event is impossible, while a probability of 1 means that the event is certain to occur.

Now, let's examine each of the statements to determine which ones are true.

The first statement, "probability is usually between 0 and 1, inclusive," is true. As mentioned earlier, probability is always represented as a number between 0 and 1, inclusive.

The second statement, "an event that is likely has a probability that is close to 1," is also true. If an event is likely to occur, it means that there is a high probability of it happening. Therefore, the probability assigned to that event would be close to 1.

Hence the correct option is (a) and (b)..

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Considering that it has a higher coefficient of variation, the distribution of cell phone bills at Smithtown South High School is more spread out.

The coefficient of variation for a distribution is given by the standard deviation of the distribution divided by the mean of the distribution. The higher the coefficient, the more spread out the distribution is.

For the distributions in this problem, the coefficients are given as follows:

Due to the higher coefficient of variation, the distribution of cell phone bills at Smithtown South High School is more spread out.

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Answer:

-×-=+

49×3

147

Step-by-step explanation:

please mark me as brainlest

The probability of drawing blue marbles in both trials is: (8/13) (7/12) = 14/39.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value that ranges from 0 to 1, where 0 means the event is impossible and 1 means the event is certain.

The probability of an event happening is calculated by dividing the number of ways that the event can occur by the total number of possible outcomes. This is known as the probability of the event.

The total number of marbles in the bag is:

4 + 8 + 1 = 13

The probability of drawing a blue marble in the first trial is:

8/13

Since the marble is not replaced before the second trial, there will be one less marble in the bag, and the probability of drawing a blue marble in the second trial will be:

7/12

Therefore, the probability of drawing blue marbles in both trials is:

(8/13) (7/12) = 14/39

So the correct answer is (c).

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Answer:

hey

Step-by-step explanation:

Answer: The rate must be positive

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Difference meaning (Math):

If that's the meaning, equation should be:

Remember:

The equation whigh relates x and y points along the incline is: y = 2x - 3

We know that the general form of a slope - intercept form of equation of line is :

y = mx + c

m = slope

and c = y-intercept

We know that slope is nothing but angle of incline.

From figure we can observe that the line passes through points (3, 3) and (6, 9)

Using the formula of slope,

m = (9 - 3) / (6 - 3)

m =  6/3

m = 2

So the equation of line would be

y = 2x + c

As line passes though point (3, 3),

3 = 2(3) + c

3 = 6 + c

c = - 3

So, the equation that relates x and y for points along the incline is:

y = 2x - 3

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The complete question is:

All three points displayed are on the line. you'll need to write an equation that relates x and y for points along the incline. what is this equation?

Answer: -6a-48

Step-by-step explanation:

-6(a+8)
distribute and you get
-6a-48

Answer:

X=3

AB=9

BC=9

AC=18

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He sold the goat at 2 10% profit so he sold the goat for:  15,000 x 1.10 = 16,500

He sold the cow for a loss, so he sold the cow for 35000 x 0.80 = 28,000

Total he paid for both: 15,000 + 35,000 = 50,000

Total he sold both for: 16,500 + 28,000 = 44,500

He sold them for less than what he paid so he lost money.

Subtract sold amount from bought amount:

50,000 - 44,500 = 5,500

Divide the difference by the amount he paid:

5,500 / 50,000 =  0.11 x 100 = 11%

His loss percentage was 11%

By using the concept of bell shaped curve of normal distribution, it can be concluded that

The histogram would not look like a bell shaped curve because occurance of fire may not be constant in  all the case.

What is normal distribution?

Normal distribution is a continuous type probability distribution whose probability density function is given by

f(x) = \(\frac{1}{\sigma \sqrt{2\pi}}e^-{\frac{z^2}{2}\)

Where z = \(\frac{x - \mu}{\sigma}}\) where \(\mu\) is the mean and \(\sigma\) is the standard deviation

A fire department in a small town keeps track of the number of fires it has to fight each day for a year and records the 365 values central limit theorem.

Here, in this case it is not confident that the histogram would not look like a bell shaped curve because occurance of fire may not be constant in  all the case.

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Answer:

x is equal to 2

Step-by-step explanation:

simplify the equation

distribute the 0.3

0.3*4-0.3x=x-1.4

1.2-0.3x=x-1.4

get x by itself on one side

1.2+1.4=x+0.3x

simplify

2.6=1.3x

2=x

Between clock skew and clock jitter, skew is preferred because it is more predictable and can sometimes increase max frequency. This makes it easier to manage in electronic systems and can provide benefits in certain scenarios.

Jitter is preferred because it is predictable. Clock jitter refers to the variability of the clock signal and can be predicted and compensated for. On the other hand, clock skew refers to the difference in arrival time of the clock signal at different points in the circuit and can sometimes increase maximum frequency. However, skew is preferred because it is more predictable and can be compensated for, while jitter is preferred because it is unpredictable and can't be compensated for. Therefore, in general, jitter is considered more preferable than skew.

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For the following equations, by the trial and error method in 2(p-3) =6  the value of p is 9

Trial and error is assuming a value for a unkown variable, observing if it works, and if it doesn't trying a new value for the variable.

2p-3 = 15

p=6

2(6) -3 = 9

p=7

2(7)-3 = 11

p=8

2(8)-3 = 13

p=9

2(9)-3 = 15

so, p is 9

For the following equations, by the trial and error method in 2(p-3) =6  the value of p is 9

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the rectangular coordinates corresponding to the polar coordinates (5, π/6) are approximately (4.33, 2.5).

To convert polar coordinates to rectangular coordinates, you can use the following formulas:

Given polar coordinates (r, θ), where r represents the distance from the origin (or pole) to the point, and θ represents the angle between the positive x-axis and the line connecting the origin to the point:

Rectangular coordinate x = r * cos(θ)

Rectangular coordinate y = r * sin(θ)

Here's a step-by-step process for converting polar coordinates to rectangular coordinates:

1. Identify the given polar coordinates (r, θ).

2. Use the formula x = r * cos(θ) to calculate the rectangular coordinate x.

3. Use the formula y = r * sin(θ) to calculate the rectangular coordinate y.

4. The rectangular coordinates (x, y) represent the equivalent representation of the given polar coordinates.

For example, let's say we have polar coordinates (r, θ) = (5, π/6). To convert these to rectangular coordinates:

x = 5 * cos(π/6) = 5 * (√3/2) = 5√3/2 ≈ 4.33

y = 5 * sin(π/6) = 5 * (1/2) = 5/2 = 2.5

So, the rectangular coordinates corresponding to the polar coordinates (5, π/6) are approximately (4.33, 2.5).

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