use the appropriate normal distribution to approximate the resulting binomial distributions. a convenience store owner claims that 55% of the people buying from her store, on a certain day of the week, buy coffee during their visit. a random sample of 35 customers is made. if the store owner's claim is correct, what is the probability that fewer than 22 customers in the sample buy coffee during their visit on that certain day of the week? a) 0.7764 b) 0.7967 c) 0.7224 d) 0.8413 e) 0.8238 f) none of the above.

Answer: 60%

Step-by-step explanation:

15 divided by 25 = 0.6

0.6 x 100 = 60%

:)

Answer:

Step-by-step explanation:

(x-60)+(x-20)+(x-40)+130+120+110=720

3X -120 + 360=720

3x +240= 720

3x= 720-240

3x=480

x= 480/3 = 160

x=160

angle F = (x-20)

angle F = 160-20=140

angle F = 140

The GPA of the student who scored 63 in the performance test is 2.394.

Given, a researcher analyzed data using linear regression correlating a performance test and GPA and calculated a slope of 0.028 and y-intercept of 0.63.

we have find the GPA of a student who scored 63 in the performance test.

Let the score of the student in performance test be, x

and the GPA of the student be, y

So, y = mx + c

as, m = 0.028 and c = 0.63

y = 0.028x + 0.63

at x = 63

y = 0.028×63 + 0.63

y = 2.394

So, the GPA of the student who scored 63 in the performance test is 2.394.

Hence, the GPA of the student who scored 63 in the performance test is 2.394.

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The probability that it will get to b within 7 hours is approximately 0.014.

Probability:

In math, the favorable way of happening the event is known as probability.

Given,

A frog starts at location a and wants to get to location b that is 500 meters away. starting at a, it sits at a given spot on the path from a to b for a time that is exponentially distributed with parameter 1 (minute). after that, it jumps 1 meter towards b, sits in the new spot for an exponentially distributed time, etc. all the times are independent.

Here we need to find the the probability (approximately) that it will get to b within 7 hours.

While we looking at the given question we have identified that,

starting point = a

ending point = b ( 500 meters)

Time take for one jump = 1 minute

Distance covered in one jump = 1 meter.

Here they also said that the time is independent but the distance remains constant.

So, the probability that it will get to b within 7 hours is calculated as,

=> 7/500

=> 0.014

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Answer:

2,632 copies

Step-by-step explanation:

32100× 0.082= 2632.2

About 2,632

Answer:

Step-by-step explanation:

Let L be the Length and W be the Width of a rectangle.

We are told that:    L = 4W   [the length of a rectangle is four times its width]

Perimeter = 2L + 2W

We learn that P ≤ 130 cm

2L + 2W ≤ 130 cm

Substitute L = 4W:  

2L + 2W ≤ 130 cm

2(4W) + 2W ≤ 130 cm

10W ≤ 130 cm

W ≤ 13 cm

Options:

2w + 2 • (4w) < 130     Not correct since the < sign does not allow for the "at most 130 cm.")

2w + 2 • (4w) > 130      Must be ≤, not >

2w + 2 • (4w) ≤ 130   This option works since the ≤ sign is correct.

Step-by-step explanation:

3(1+p)=-5(p+1)

here is your answer

I hope this helpful for u

The slope and y-intercept of the given linear equation are [tex]-\frac{5}{4}[/tex] and [tex]5[/tex] respectively. The equation of the given graph is [tex]y=-\frac{5}{4} x+5[/tex]

What is the Slope of a graph?

What is a y-intercept?

Here, from the graph, we can find a line passing through the two points, [tex](4,0)[/tex] and [tex](0,5)[/tex].

The equation for the slope formula is given as, [tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Using the slope formula, we get the slope of the given graph as,

[tex]m=\frac{ 5-0 }{0-4 }\\\implies m=-\frac{5}{4}[/tex]

The y-intercept (c) is the value of y when x equals zero.

The line is passing through the point [tex](0,5)[/tex]

Here, the value of x is equal to 0 and the value of y is equal to 5.

So, the y-intercept of the given graph, [tex]c=5[/tex]

We know that the equation of a straight line is expressed as, [tex]y=mx+c[/tex]

Substituting the values of m and c in the straight line equation form, we get the equation of the given line as,

[tex]y=-\frac{5}{4} x+5[/tex]

Therefore, the slope of the given graph, [tex]m=-\frac{5}{4}[/tex] and the y-intercept, [tex]c=5[/tex].

Also, the equation of the given line is [tex]y=-\frac{5}{4} x+5[/tex]

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Answer:

2*3

Step-by-step explanation:

divide by smallest number possible

6/2=3

3/3=1

2*3=6

so 2*3

The rates of weekly earning would allow her to reach her goal will be 12x > 500.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Janet anticipates cutting yards for quite a long time in the late spring. Her objective for the late spring is to acquire more than $500.

Let 'x' be the weekly rate. Then the inequality is written as,

12x > 500

The rates of weekly earning would allow her to reach her goal will be 12x > 500.

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Answer:Answer:

D.

{(-9,8), (-5,-8), (-7,8), (-6,-8)}

Step-by-step explanation:

Answer: 4826

Step-by-step explanation: 8254 - 3248 = 4826

The required relation between independent and dependent variables is y = x/4.

A simple method for considering  independent and dependent variables is, the point at which you're leading an examination, the free factor is what you change, and the reliant variable changes hence. You can likewise consider the autonomous variable the reason and the reliant variable as the impact

The independent variable x is the total number of students in the class.

And the dependent variable y is number of students in each group.

Therefore,

y = x / 4

Here, when we change the value of x then value of y automatically changed.

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The value of the solution is B i.e., his cumulative gpa (i), he ever performed before (ii)

The science of statistics focuses on creating and researching strategies for gathering, analyzing, interpreting, and presenting empirical data.

The two types of statistics are: Descriptive and inferential.

With the alternatives available, Johnny can only do worse if his performance falls short of both his lifetime GPA and his previous best performance. It's possible that the last scenario, in which Johnny performed worse than last semester, won't necessarily have an impact on his GPA. A cumulative GPA represents Johnny's overall GPA since he first began attending school. Considering that his most recent semester may have been one of his best and had a solid outcome, earning a result somewhat below that of his previous semester may not necessarily result in a drop in his cumulative GPA. Therefore, choice B is right.

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Answer: 222 cents

Step-by-step explanation: 84/14 = 6 This is the unit rate.

6 x 37 = 222

The constant of proportionality is 9.5.

The correct option is (a)

Given,

In the question:

The proportional relationship between the price for a certain number of buckets of golf balls at a driving range.

Buckets 3 5 7

Price (dollars) 28. 50 47. 50 66. 50

To determine the constant of proportionality.

Now, According to the question:

We know that:

Proportional relationship equation:

y = kx, where k-constant of proportionality

In the given table, number of buckets represent input values (x) and the price represents output values (y).

We have for the first column:

x = 3, y = 28.50

Find the value of k by plugging in the values of x and y:

28.50 = 3k

k = 28.50/3

k = 9.5

The options are:

a) 9. 5

b) 10. 5

c) 18. 25

d) 28. 5

Hence, The constant of proportionality is 9.5.

So, The correct option is (a).

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The dimensions of the photograph are found as 13 in and 6 in.

Let length = x.

So, width = x - 7

Area = length x width

A = x (x -7)

and A = 78 inches squared.

Thus,

78 = x (x -7)

On solving.

x² - 7x - 78 = 0

Find the factors of the quadratic equation,

x² - 7x - 78 = 0

(x - 13)(x + 6) = 0

Thus,

x = 13 and x = -6 but (x > 0)

Thus, when x = 13 in,

Width = x + 7

Width = 13 - 7

Width = 6 in

Thus, the dimensions of the photograph are found as 13 in and 6 in.

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The Total Population after five years will be 13,700 people

What is Compound Interest?

Compound interest is the adding of interest to the principle sum of a loan or deposit, or interest on interest plus interest. It is the outcome of reinvesting interest, or adding it to the lent capital, rather than paying it out or requesting payment from the borrower, so that interest is received on the principle sum plus previously accrued interest in the next month. In finance and economics, compound interest is the norm.

Solution:

To solve the problem mentioned we need to use the concept of compound interest:

Principal = 10,000

Annual Growth Rate = 6.5%

Time = 5 years

Amount = Principal * ((100+Rate)/100)^Time

Total Population after 5 years = 10,000 * (106.5/100)^5

= 10,000 * (1.065)^5

= 10,000 * 1.37008

= 13,700

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Answer:

56.0

Step-by-step explanation:

The test hypothesis using 0.05 significance level has the following results:The treatment means differ, The block means do not differ.

A poll or study's findings can be tested using the statistical procedure known as hypothesis testing to see if the findings are significant. By calculating the likelihood that the findings happened by chance, you are basically evaluating if the findings are genuine. If it's possible that your results were a coincidence, the experiment won't be reproducible and won't be of much help.

Hypothesis testing may be one of the most perplexing components for students, mostly because you must first determine what your null is so that you can conduct a test. These challenging word problems that you encounter might sometimes be challenging to understand.

Make a plan for your null hypothesis.

Write down your null hypothesis

Determine the type of test you must do,

How to solve?

Describe the null and alternate treatment hypotheses:

Null hypothesis: No difference in treatment means

Alternative interpretation: The means differ

Indicate the treatment decision-making process:

F(1,2)=18.51 as seen in the table

Reject the null hypothesis if the estimated F exceeds 18.51.

Treatments Calculated F=43.75 > 18.51; hence, the null hypothesis is rejected.

As a result, we find that the treatment means differ.

Write out the null and alternative hypotheses for blocks.

Block means are not different under the null hypothesis.

A different theory There exists at least one pair of distinct meanings.

State the block decision rule as well:

Table F(2,2)=19.0 value

If the estimated F is greater than 19, reject the null hypothesis.

Blocks determined that F=8.14 19.0, thus we did not reject the null hypothesis.

Our conclusion is that the block means are equivalent.

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Answer:

4000

Step-by-step explanation:

If we were to take the number 3,635 and round it to the nearest thousand, we can do it like this.

Start with 5. (Ones place)

3,635

5 is rounded to 10.

Now work on the number 4. (Tenths place)

3,640

4 is rounded to 0.

And now we can do the number 6. (Hundreds place)

3600

6 is rounded to 10.

If we look at the number now, it is

4000

3.635 rounded to the nearest thousand is 4000.

Answer:

  y = 1/5x -11

Step-by-step explanation:

You want the slope-intercept equation of the line perpendicular to y=-5x+9 that goes through the point (20, -7).

The slope-intercept form of the equation for a line is ...

  y = mx +b . . . . . . . . where m is the slope and b is the y-intercept

This can be solved to find the y-intercept from a point on the line:

  b = y -mx

Comparing this form to the given equation, you see the given line has a slope of m = -5.

The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line:

  slope = -1/(-5) = 1/5

The y-intercept of the desired line can be found using the equation for b above. The y-intercept of the line with slope 1/5 through point (x, y) = (20, -7) is ...

  b = y -mx = (-7) -1/5(20) = -7 -4

  b = -11

Now, we have the slope and intercept of the desired line, so we can write its equation:

  y = 1/5x -11

The estimates based on each of the samples are averaged in such a way as to give more influence to the estimate based on more participants.

What is population variance?

Each data point's distance from the population mean is quantified by the population variance, which is a measure of dispersion. The average of the squares of the deviations from the data's mean value is known as population variance.

Hence, when determining the pooled population variance estimate for a t test for independent means with unequal sample sizes, the estimates based on each of the samples are averaged in such a way as to give more influence to the estimate based on more participants.

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The multiple regression model represented by y = a₀ + a₁x + a₂x + ... has  one independent variable.

Explanation:

Therefore, the multiple regression model has more than one independent variable that is option d.

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The probability that these events when we randomly select a permutation is  24, 1/2, 1/2, 1/3, 1/4, 1/4

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to express probabilities.

P(A) = n(A)/n (S)

The probability of an event "A" is P(A). The number of successful outcomes is n(A). The total number of events in the sample space is denoted by n(S).

1)  From the set we can select 4*3*2*1=24 permutations.

2) There are six permutations that begin with 1, three that begin with 2, three that begin with 3, and no permutations that begin with 4 when 1 comes before 4. So, P1 ={ 6+3+3+0}/{24} = 1/2

3) No permutations begin with 1, three permutations begin with 2, three permutations begin with 3, and six permutations begin with 4, where 4 comes before 1. P2=1/2 

4) There are no permutations that begin with 1, no permutations that begin with 2, no permutations that begin with 2, no permutations that begin with 3, and six permutations that begin with 4, where 4 comes before both 1 and 2. Therefore, P 3 = 1/3

​5) No permutations begin with 1, no permutations begin with 2, no permutations begin with 3, and there are six permutations that begin with 4, where 4 comes before 1, 2, and 3. So, P4= 1/4

​6) There are no combinations that begin with 1, three combinations that begin with 2, no combinations that begin with 3, and three combinations that begin with 4, where 4 comes before 3 and 2 comes before 1. So, P5= 1/4

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a) ∠a = 35

b) ∠b = 40

c) ∠c = 35

d) ∠d = 70

e) When we add all the angles together we get an angle of 360°.

In Euclidean geometry, an angle is the figure formed by two rays, known as the sides of the angle, that have a common termination, known as the vertex of the angle. These are referred to as dihedral angles. An angle can also be defined by two intersecting curves, which is the angle of the rays lying tangent to the respective curves at their point of intersection.

Given, ∠b =  40  

∠d = 70

∠1 = ∠ a

∠2 = ∠c

∠1 = ∠2

So, ∠1 =∠2 = ∠a = ∠c

70 + 40 + ∠a + ∠2 = 180

110 + 2∠a = 180            

2∠a = 180 - 110

∠a = 70/2

∠a = 35

∠1 =∠2 = ∠a = ∠c = 35

When we add all the angles together we get an angle of 360°

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Answer:

m = -4

Step-by-step explanation:

2(3m + 1) - 2m = -14

Use distributive property.

6m + 2 - 2m = -14

Combine like terms.

4m + 2 = -14

Subtract 2

4m = -16

Divide by 4.

m = -4

Check the picture below.