6. {MCC.8.EE.7b} Solve the following: 80 = 2(4 - 6x) *
-6
-11
5
4

Answer:

In 26 seconds to complete a transaction, 2 products are being purchased.

Step-by-step explanation:

1 item  = 9 seconds

Time taken in all to check out = 8 seconds

Time taken to shop = 26 seconds

Now as check out process takes 8 seconds, so the

Time left to ACTUALLY SHOP =  Total Time  - Time Used to check out

                                                  = 26 seconds = 8 seconds = 18 seconds

Shopping of 1 item = 8 seconds

Shopping of 2 items  = 2 x ( Time taken in 1 item) = 2 x  9 = 18 seconds

So, in 18 seconds, 2 clothing item can be selected.

Hence,in 26 seconds to complete a transaction, 2 products are being purchased.

The point slope formula is \(y-y_1=m(x-x_1)\).

The point slope form is used to calculate the equation of a straight line that is inclined to the x-axis at a certain angle and passes through a particular point.

When we know the slope of a line and a point on it, we may use the point slope formula.

Point Slope Formula:

\(y-y_1=m(x-x_1)\)

where,

(x, y) is a point on the line at random (which should be kept as variables while applying the formula).

(x1, y1) is the line's fixed point.

slope of the line is 'm'.

Thus, the point slope formula is \(y-y_1=m(x-x_1)\).

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Answer:

2/5

Step-by-step explanation:

you have to divide both sides by 5/2, and because it's a fraction, you can just multiply by the recipricol (2/5) and the 5/2 and 2/5 multiplies by x cancel out to get x=2/5

The value of x from the given equation is 2/5.

The given equation is 5/2 x = 1.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation can be solved as follows:

5/2 x = 1

⇒ 5x = 2

⇒ x = 2/5

Therefore, the value of x from the given equation is 2/5.

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The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

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We have explained how we can prove triangles are congruent using SSS and SAS.

What are SSS and SAS rule?

SSS: If the three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

SAS: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

1) Side-Side-Side is a rule used to prove whether a given set of triangles are congruent.

The SSS rule states that:

If the three sides of one triangle are equal to the three sides of another triangle, then the triangles are congruent.

In diagram (1), if AB = RP, BC = PQ, and CA = QR, then triangle ABC is congruent to triangle RPQ.

2) Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent.

The SAS rule states that:

If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.

An included angle is an angle formed by two given sides.

For the two triangles below, if AC = PQ, BC = PR, and angle C< = angle P, then by the SAS rule, triangle ABC is congruent to triangle QRP.

Hence, we have explained how we can prove triangles are congruent using SSS and SAS.

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Answer: 3353

Let's solve this equation:

[(3)(3)+(4)(4)]2+[(8)(3)+(7)(4)]2+(2)(3)(4)

=(9+(4)(4))2+((8)(3)+(7)(4))2+(2)(3)(4)

=(9+16)2+((8)(3)+(7)(4))2+(2)(3)(4)

=252+((8)(3)+(7)(4))2+(2)(3)(4)

=625+((8)(3)+(7)(4))2+(2)(3)(4)

=625+(24+(7)(4))2+(2)(3)(4)

=625+(24+28)2+(2)(3)(4)

=625+522+(2)(3)(4)

=625+2704+(2)(3)(4)

=3329+(2)(3)(4)

=3329+(6)(4)

=3329+24

=3353

Hope this helps!!

A translation happens when a constant is summed to the coordinates of a point. We need to find the values of these constants to determine the rule of translation. When we apply the translation to the point (-9,0), the result is (-12, -4). We can rewrite this as shown below:

The rule of translation is:

We need to find the coordinates for the image of the point (-1, -2). Applying the rule to this point we have:

The image is (-4,-6).

Answer:

A ) -2/3

Step-by-step explanation:

Rewrite the equation in slope-intercept form.

y = mx + b

2x + 3y = 12

2x - 2x + 3y = 12 - 2x

3y = 12 - 2x

3y/3 = 12/3 - 2x/3

\(y = -\frac{2}{3} x + 4\)

Answer:

The answer above is correct!

Step-by-step explanation:

Hope it helps :)

The sampling soldiers until her margin of error for a 82% confidence interval is less than 0.004, soldiers should Haley sample is 12,724 soldiers.

The degree of inaccuracy in survey findings from random sampling is known as the margin of error in statistics. A wider margin of error in statistics denotes a reduced chance of relying on a survey's or poll's findings, meaning that there will be less trust in the results' ability to accurately reflect a community. It is a very important tool for market research since it shows the degree of assurance that should be placed in survey data by the researchers.

A confidence interval is a measure of how unpredictable a given statistic is. It is typically used in conjunction with the margin of error to indicate how confidently a statistician feels that the findings of an online survey or online poll are worthy of being considered representative of the total population.

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi (1-\pi)}{n} }\)

In which, z is the z-score that has a p-value of 1+∝/2.

The margin of error is of:

\(M=z\sqrt{\frac{\pi (1-\pi)}{n} }\)

Estimate of the proportion of 64%, hence π = 0.64.

94% confidence level

So , ∝ = 0.94 z is the value of Z that has a p-value of , so z = 1.88

Margin of error of less than 0.008 is wanted, hence, we have to find n when M = 0.008.

\(M=z\sqrt{\frac{\pi (1-\pi)}{n} }\\0.008 =1.88\sqrt{\frac{0.64(0.36)}{n} } \\0.008\sqrt{n} = 1.88\sqrt{0.64(0.36)} \\n = 12723.84\\\)

Therefore, Haley should sample 12,724 soldiers.

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the golden ratio is denoted by which greek letter?

Φ phi

Complete Question:

A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled, what is the probability of rolling a number greater than 10?

Answer:

\(P(T) = \frac{1}{6}\)

Step-by-step explanation:

Given

Number of Sides = 12

Required

Probability of obtaining a side greater than 10

We start by listing out the sample space;

\(S = \{1,2,3,4,5,6,7,8,9,10,11,12\}\)

\(n(S) = 12\)

Next, we list out digits greater than 10; Represent this with T

\(T = \{11,12\}\)

\(n(T) = 2\)

Probability of T is calculated as follows;

\(P(T) = \frac{n(T)}{n(S)}\)

\(P(T) = \frac{2}{12}\)

Divide the numerator and denominator by 2

\(P(T) = \frac{1}{6}\)

Hence, the required probability is \(\frac{1}{6}\)

Answer:

It adds by +5

Step-by-step explanation:

Answer:

240 miles

Step-by-step explanation:

Because it took 5 hours going 48 miles per hour, therefore 5 x 48 =240

Answer:

Step-by-step explanation:

1. Notice that these angles are vertical angles which are angles opposite each other when two lines cross, they share the same vertex. Vertical angles are congruent angles.

Therefore,

2. In this case, the angles shown are complementary, which mean they must add up 90 degrees:

The probability that the taxi was actually blue is 0.61.

Witnesses are right 77% of the time. This means that they are incorrect 23% of the time. Furthermore, 25% of the taxis were blue while the rest were green. Since these are the only two choices, it follows that 75 percent of the taxis are green.

Using Bayes' Theorem, we can calculate the probability that the taxi was blue:

P (Taxi is blue|Witness said it was blue)

P (Witness said it was blue|Taxi is blue)

P (Taxi is blue)

P (Witness said it was blue|Taxi is green)

P (Taxi is green)

To begin, we must determine the probabilities of each of these:

P (Taxi is blue) = 0.25

P (Taxi is green) = 0.75

P (Witness said it was blue|Taxi is blue) = 0.77

P (Witness said it was blue|Taxi is green) = 0.23

To get the result we multiply all of them together:

P (Taxi is blue|Witness said it was blue) = P (Taxi is blue) × P (Witness said it was blue|Taxi is blue) / [P (Taxi is blue) × P (Witness said it was blue|Taxi is blue) + P (Taxi is green) × P (Witness said it was blue|Taxi is green)]P (Taxi is blue|Witness said it was blue) = 0.25 × 0.77 / (0.25 × 0.77 + 0.75 × 0.23)

P (Taxi is blue|Witness said it was blue) = 0.61

Therefore, the probability that the taxi was actually blue is 0.61.

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Answer:

The starting point of

F1 is

\((0. \frac{1}{2} )\)

F2 is

\((0.3)\)

Y will increase if the x increase in the two equation

Step-by-step explanation:

If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything

The value that is 2 standard deviations from the mean can be calculated as follows:

2 standard deviations = 2 x 15 = 30

So, the value that is 2 standard deviations from the mean is either 30 points below the mean or 30 points above the mean.

Mean - 30 = 100 - 30 = 70

Mean + 30 = 100 + 30 = 130

Therefore, the value that is 2 standard deviations from the mean is either 70 or 130.

The correct answer is d. 70 or b. 130, depending on whether you are looking for the value that is 2 standard deviations below or above the mean.

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Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

Given Information :A study conducted several years ago reported that 21% of public accountants changed companies within 3 years.

The American Institute of CPAs would like to update the study.

They would like to estimate the population proportion of public accountants who changed companies within 3 years with a margin of error of 3% and a 95% level of confidence.

Required:a. To update this study, how many public accountants should be contacted? Solution: Given that: the percentage of public accountants changed companies within 3 years is 21%.The level of confidence is 95%.

The margin of error is 3%.We have to find out the sample size.To find the sample size we use the formula :n = [Z² x p x q ] / E²

Where, Z = Standard normal deviation corresponding to a 95% confidence level is 1.96.p = proportion = 21/100 = 0.21q = 1-p = 1-0.21 = 0.79E = margin of error = 3/100 = 0.03

Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.

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If Paul has 10 sockets, he would have 61 wrenches based on the expression.

Let's represent the number of sockets by the variable 's'.

We are given that the number of wrenches is eleven more than five times the number of sockets.

To write an expression for the number of wrenches, we can use this information.

The number of wrenches can be calculated by multiplying the number of sockets by five and then adding eleven to the result.

So the expression for the number of wrenches is:

Number of wrenches = 5s + 11

In this expression, '5s' represents five times the number of sockets because we multiply the number of sockets (s) by five.

Then we add eleven to account for the fact that the number of wrenches is eleven more than five times the number of sockets.

For example, if we assume Paul has 10 sockets (s = 10), we can substitute this value into the expression:

Number of wrenches = 5(10) + 11

= 50 + 11

= 61

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Answer:

Answer C:     102

Step-by-step explanation:

The correct answer for the question is 102. I did the quiz and got it right.

                    Hope this helps you!

                                        ~Me ^^

The acute angle between AC and the x-axis is approximately 75.96 degrees.

How steeply a line rises or lowers as it goes horizontally is determined by its slope. The slope is specifically determined by dividing the change in y by the change in x between any two locations on the line.

The inverse tangent function relates the angle between a line and the x-axis to its slope.

The slope of the line is given by the formula:

slope = (change in y) / (change in x)

For the given coordinates the slope is:

slope = (9 - (-3)) / (1 - (-2))

= 4

The angle can be calculated using the trigonometric function tan:

tan(theta) = slope

theta = arctan(slope)

Substitute the value of slope = 4:

theta = arctan(4)

≈ 75.96 degrees

Hence, the acute angle between AC and the x-axis is approximately 75.96 degrees.

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Answer:

We found, based on beach strandings, that more than 1,000 turtles are dying a year, after becoming tangled up, but this is almost certainly a gross underestimate. Young turtles and hatchings are particularly vulnerable to entanglement.” In recent years, global turtle population numbers have been falling.

Answer:

32,800

Step-by-step explanation:

The correct order of the radius  \(\sqrt{3} /11 \ , \pi /24 , 3/25 , 9/100\) .

What is decreasing and increasing order?

A set of data is said to be in descending order, often referred to as decreasing order, when it is arranged from highest to lowest or largest to smallest.

The same concepts apply regardless of the type of information you're working with, whether it's letters, dates, sizes of things or any other group of information like numbers or dates.

For instance, arranging a group of numbers in descending order means doing so from biggest to smallest value.

Ascending order, often known as ascending order of importance, is the exact opposite of declining order.

The order of the items is lowest to highest value. The lowest value is placed first in the order, while the highest value is placed last.

The value of \(\sqrt{3}\) = 1.732

so \(\sqrt{3}\) / 11 = 1.732/11

=1732/11000

The value of \(pi\) = 3.14

so \(\pi\) / 24  = 3.14/24

= 314/2400

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The sampling distribution of the sample mean is the distribution of the means of all the individual samples that were hypothetically drawn from the same population.

A sampling distribution refers to the probability distribution of a statistic that is obtained from a large number of random samples drawn from a population. The sampling distribution is important because it enables us to make statistical inferences about the population based on the sample data.

This makes the sampling distribution a valuable tool for making statistical inferences about population parameters. We could randomly select a sample of students and compute their mean height. If we repeat this process many times and compute the mean height for each sample, we would obtain a sampling distribution of means. This distribution would provide information about the range of possible mean heights we might expect to see if we were to repeat the sampling process many times.

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Answer:

The value of X is 10 As the two triangles are similar X= 10

Answer:

33343555

4

3

4

34

2354555444

5224

34

32555555

555

5

32

55233=3=44

Step-by-step explanation: