in the exercise, x is a binomial variable with n = 7 and p = 0.4. compute the given probability. check your answer using technology. (round your answer to five decimal places.) p(3 ≤ x ≤ 5)

468 divided to the ratio 4:5 is 208 : 260.

The value of m when g(m) = 5 is 7. The correct option is the third option 7

From the question, we are to calculate the value of m when g(m) = 5

From the given information,

g(m) varies inversely with m

That is,

g(m) ∝ 1/m

Then,

g(m) = k/m

Where k is the proportionality constant

Also,

From the given information,

g(m) = 3.5 when m = 10

Substitute the values of g(m) and m into the equation to determine k

g(m) = k/m

3.5 = k/10

k = 3.5 × 10

k = 35

Now, we will determine the value of m when g(m) = 5

g(m) = k/m

5 = 35/m

5 × m = 35

m = 35/5

m = 7

Hence, the value of m is 7

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Answer:

True

Step-by-step explanation:

C

alculate the rate of change also know as the constant of proportionality (k = y/x) which is the constant ratio between two proportional quantities y/x denoted by the symbol k which may be a positive rational number. ... The constant of proportionality can never be zero.

The statement "the constant of proportionality in an equation can never be 0​" is true.

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that:

The statement is:

The constant of proportionality in an equation can never be 0​

It is required to find whether the above statement is true or false.

As we know, from the proportional relationship;

The relationship between two variables when the first variable increases, the second variable also increases

Calculate the rate of change, commonly known as the constant of proportionality (k = y/x).

This constant ratio between two proportional values, y/x, is represented by the symbol k, which may be a positive rational number. ... The proportionality constant can never be 0.

Thus, the statement "the constant of proportionality in an equation can never be 0​" is true.

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Day is quantitative and number of fish caught is quantitative.

Day in this context is a categorical variable because it is a label that represents different categories or groups of time. Specifically, it represents the days that a new lure was used at the lake.

The number of fish caught, on the other hand, is a quantitative variable because it represents a numerical quantity, and can be measured and recorded in a numerical form. It can take on different numerical values, and can be analyzed using various statistical techniques.

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The scatter plot shows any linear association. Option (B)

A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.

A table is an arrangement of information or data, typically in rows and columns, or possibly in a more complex structure.

Advantages of scatter plot

From the above advantages, we can conclude on the answer which is Option (B)

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Answer:

It's a square

Step-by-step explanation:

All its sides are equal

Let the smaller angle be

The larger angle is 4 times bigger than the smaller angle means

Concept:

The sum of two or more angles on a straight line is always 180°

Therefore,

By substituting the value of y=4x in the equation above, we will have

substitute the value of x= 36° in y=4x to find the value of the bigger angle

Hence,

The larger angle is =144 °

OPTION D IS THE CORRECT ANSWER

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

Below.

Step-by-step explanation:

4^(x+2)+4^(x+1)+4^x

= 4^x*4^2 + 4^x*4 + 4^4

= 4^x(16 + 4 + 1)

= 21*4^x.

As 21 is divisible by 7, 21*4^x is also divisible by 7  for all positive integers of x.

Thus the original expression must be also divisible by 7  for all positive integers of x.

Answer:

a

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

x + 18 + 4x + 112 = 180 , collect like terms

5x + 130 = 180 ( subtract 130 from both sides )

5x = 50 ( divide both sides by 5 )

x = 10

Answer:

well,

Step-by-step explanation:

as you see.....uhhh.....hmmmm.....if you first a _________________________________

Answer:

Graph f (x) = square root of x f (x) = √x f ( x) = x Find the domain for y = √x y = x so that a list of x x values can be picked to find a list of points, which will help graphing the radical. Tap for more steps... Interval Notation: [0,∞) [ 0, ∞) Set -Builder Notation: {x|x ≥ 0} { x | x ≥ 0 }

Answer

When f(x) = g(x), x = -1

Explanation

We are given that

f(x) = -5x - 11

g(x) = 30x + 24

We are then asked to fing the value of x when f(x) = g(x)

When f(x) = g(x),

-5x - 11 = 30x + 24

-5x - 30x = 24 + 11

-35x = 35

Divide both sides by -35

(-35x/-35) = (35/-35)

x = -1

Hope this Helps!!!

The solution to the given csc function is: θ = (3π/2), (7π/2). It is found using the concept of cosec function and unit circle.

csc θ=-1 can be solved by applying the concept of csc function and unit circle. We know that, csc function is the reciprocal of the sine function and is defined as csc θ = 1/sin θ.

The given equation is

csc θ=-1.

We are to solve it for θ with 0 ≤ θ < 2π.

Now, let us understand the concept of csc function.

A csc function is the reciprocal of the sine function.

It stands for cosecant and is defined as:

csc θ = 1/sin θ

Now, let us solve the equation using the above concept.

csc θ=-1

=> 1/sin θ = -1

=> sin θ = -1/1

=> sin θ = -1

We know that, sine function is negative in the third and fourth quadrants of the unit circle, which means,

θ = (3π/2) + 2πn,

where n is any integer, or

θ = (7π/2) + 2πn,

where n is any integer.

Both of these values fall within the given range of 0 ≤ θ < 2π.

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Answer: f(x) = -1/2(x+3)

Example: g(x) = -1/2(-x-3)

This function is a dilation and a reflection of the parent function f(x) because when graphed, the two functions have the same shape but are reflected over the y-axis and are half the size of the original.

If we reject the null hypothesis, we conclude that there is evidence to suggest that the true mean number of French fries in a medium McDonald's fries is different from 50. If we fail to reject the null hypothesis, we do not have sufficient evidence to conclude a difference in the mean number of French fries.

Here, we have,

To test the null hypothesis that the true mean number of French fries in a medium McDonald's fries is equal to 50, you collect a sample of 15 medium fries and count the number of fries in each.

Let's denote the sample mean as x and the sample standard deviation as s. We can then perform a hypothesis test using the t-test, assuming the sample follows a normal distribution.

Here are the steps to conduct the hypothesis test:

Step 1: State the null and alternative hypotheses:

Null hypothesis (H_0): The true mean number of French fries in a medium McDonald's fries is equal to 50.

Alternative hypothesis (H_a): The true mean number of French fries in a medium McDonald's fries is not equal to 50.

Step 2: Collect and summarize the sample data:

Let's assume you obtained the following counts for the 15 medium fries:

[45, 52, 48, 50, 47, 49, 51, 52, 49, 46, 48, 50, 47, 51, 50]

Step 3: Calculate the sample mean and sample standard deviation:

Compute the sample mean (x) and sample standard deviation (s) from the collected data.

x = (45 + 52 + 48 + 50 + 47 + 49 + 51 + 52 + 49 + 46 + 48 + 50 + 47 + 51 + 50) / 15

s = √(((45 - x)² + (52 - x)² + ... + (50 - x)²) / (15 - 1))

Step 4: Determine the significance level:

Choose a significance level (α), typically 0.05, to define the threshold for rejecting the null hypothesis.

Step 5: Calculate the test statistic:

Calculate the t-test statistic using the formula:

t = (x - μ) / (s / √(n))

Where:

x is the sample mean,

μ is the assumed population mean under the null hypothesis (μ = 50),

s is the sample standard deviation,

n is the sample size (15 in this case).

Step 6: Determine the critical value:

Using the significance level and degrees of freedom (n - 1), find the critical value from the t-distribution table or use statistical software.

Step 7: Compare the test statistic with the critical value:

If the absolute value of the calculated test statistic is greater than the critical value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Step 8: State the conclusion:

Based on the comparison in Step 7, we state the conclusion in terms of the null and alternative hypotheses. If we reject the null hypothesis, we conclude that there is evidence to suggest that the true mean number of French fries in a medium McDonald's fries is different from 50. If we fail to reject the null hypothesis, we do not have sufficient evidence to conclude a difference in the mean number of French fries.

Performing the calculations using the provided data and conducting the hypothesis test will provide a definitive conclusion regarding the true mean number of French fries in a medium McDonald's fries.

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Answer:

6, 13, 20

Step-by-step explanation:

just add a positive 7 to each term

Answer:

Is there a picture of the graphs...?

Step-by-step explanation:

Anyways, the answer should be y= 3/2x +4

If you show me the graphs I could possibly help you find which one is correct.

Answer:

Step-by-step explanation:

Here are the graphs, which one goes with

y = 4 + 3/2x ?

Answer:

Total amount received by Mrs Khanna will be 182.5 Rs.

Step-by-step explanation:

Cost of the potatoes = 25 Rs per kg

Cost of \(2\frac{1}{2}\) kg potatoes = Weight of the potatoes × Per kg cost of the potatoes

= 2.5 × 25

= 62.5 Rs

Cost of onions = 30 Rs per kg

Cost of 3 kg onions = 3 × 30

                                 = 90 Rs

Per kg cost of Peas = 70 Rs

Cost of \(1\frac{1}{2}\) kg Peas = 1.5 × 70

                               = 105 Rs

Per kg cost of Carrots = 40 Rs

Cost of \(1\frac{1}{2}\) kg Carrots = 1.5 × 40

                                   = 60 Rs

Total amount of the vegetables = 62.5 + 90 + 105 + 60

                                                     = 317.5 Rs

Since she gave a note of 500 Rs

Balance amount she got = 500 - 317.5

                                         = 182.5 Rs

Therefore, total amount received by Mrs Khanna will be 182.5 Rs.

Answer:

m a t h

Step-by-step explanation:

i am in middle school so i dont know

multiply Start Fraction 5 Over 7 End Fraction by 3.

What do math fractions mean?

An element of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.

                                Whether it is in the numerator or denominator, a complex fraction contains a fraction.

                             The numerator and denominator of a correct fraction are opposite each other.

What is basic fraction theory?

Every fraction has two components: the numerator, which is the actual number of parts, and the denominator, which is the total number of parts.

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Answer:

c is the answer i took the test

Step-by-step explanation:

Answer:

Your answer is \(x = -1\) and \(y = -2\)

Step-by-step explanation:

(attached)

The descriptive statistics for the stock returns of Ha Do Group and FPT Company are similar, with Ha Do Group having a slightly higher mean and median, and FPT Company having a slightly lower minimum and maximum.

The descriptive statistics for the stock returns of Ha Do Group and FPT Company are as follows:

| Statistic | Ha Do Group | FPT Company |

|---|---|---|

| Minimum | -14.23% | -15.25% |

| First quartile | -2.31% | -3.07% |

| Median | 1.69% | 0.82% |

| Mean | 4.96% | 4.26% |

| Third quartile | 7.93% | 6.32% |

| Maximum | 22.75% | 16.50% |

As you can see, the descriptive statistics for the two companies are very similar. The mean and median for Ha Do Group are slightly higher than those for FPT Company, while the minimum and maximum for FPT

Company are slightly lower than those for Ha Do Group. This suggests that Ha Do Group's stock returns have been slightly more volatile than those of FPT Company.

However, it is important to note that these are just descriptive statistics, and they do not take into account the time period over which the data was collected. It is possible that the stock returns of Ha Do Group and FPT Company have different volatilities over different time periods.

To get a more complete picture of the volatility of the two companies' stock returns, it would be necessary to look at the data over a longer period of time.

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Answer:

C

Step-by-step explanation:

C, because you can only combine terms with the same exponent.

Without specific information about the billing structure and rates of Mr. Morake's municipality, we cannot determine if his statement about the basic charge is correct. Mr. Morake stated that the basic charge was not included on the water bill.

The accuracy of Mr. Morake's statement depends on the specific billing practices of his municipality. Water bills usually include both a fixed or basic charge and a variable charge based on water usage. Since we don't have access to the details of his water bill, we cannot confirm if the basic charge was included or billed separately. To verify the statement, it is recommended to refer to the specific billing information provided by the municipality or contact the municipal water department for clarification.

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The probability that the sample mean is between 7.8 and 8.2 is 0.3830

The time spent using email is normally distributed with µ = 8 min, σ = 2 min, and n = 25,

we have to find the probability that the sample mean is between 7.8 and 8.2.

Here, Mean (µ) = 8 min  

Standard deviation (σ) = 2 min

Sample size (n) = 25

We know that the distribution of the sample mean is also a normal distribution. The mean of the sample mean distribution is µ and the standard deviation of the sample mean distribution is

σ/√n = 2/√25

        = 2/5

        = 0.4.

The z-score is given by

z = (x - µ) / (σ/√n)

For the lower limit, the z-score is   z₁ = (7.8 - 8) / (0.4)

                                                              = -0.5

For the upper limit, the z-score is   z₂ = (8.2 - 8) / (0.4)

                                                               = 0.5

We have to find the probability that the sample mean is between 7.8 and 8.2. It can be represented as

P(7.8 < x < 8.2)

P(z₁ < z < z₂)

Substituting the values,

we get

P(-0.5 < z < 0.5)

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