Corey wants to use a one-sample z interval to estimate the proportion of his coworkers who drink coffee every morning. He takes an SRS of 10 of his 50 total coworkers and finds that 6 of those sampled drink coffee every morning.

Which conditions for constructing this confidence interval did Corey's sample meet?

Choose all answers that apply:

A. The data is a random sample from the population of interest.

B.
$np⩾10andn(1-p)⩾10$
C. individual observation can be considered independent
​

The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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The most reasonable unit of measurement for 3) is option (C): $m^2$, 4) is option (B): $k{m}^2$, 5) is $i{n}^2$.

3) The most reasonable unit for the measurement of the baseball field is $m^2$ because the baseball field covers a large distance which is not accurately measured by small units  $c{m}^2$ or $m{m}^2$  where it is not that big to be measured in large units like $k{m}^2$. So option C is the correct option.

4) The most reasonable unit for the measurement of a lake is $k{m}^2$ because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like $c{m}^2$ , $m{m}^2$ , and $m^2$. So option B is the correct option.

5) The most reasonable unit for the measurement of the area of a door is $i{n}^2$ because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.

Therefore the correct answers question-wise are:

3) $m^2$

4) $k{m}^2$

5) $i{n}^2$

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The margin of error for the 90% confidence interval is 3.

To find the margin of error for a 90% confidence interval, we can use the formula:

Margin of Error = (Upper Limit - Lower Limit) / 2

Given the confidence interval (72, 78), where 72 is the lower limit and 78 is the upper limit, we can substitute these values into the formula to calculate the margin of error.

Margin of Error = (78 - 72) / 2

Margin of Error = 6 / 2

Margin of Error = 3

Consequently, the 90% confidence interval's margin of error is 3.

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Answer:

Its D

Step-by-step explanation:

becasue the X is not repeating. the other are.

The solution to the equation -2(x + 3) = -6 is x = 0.

To simplify the expression 5t + 7 + 8b, we can combine like terms.

There are two like terms in the expression: 5t and 8b.

Combining the like terms gives us:

5t + 8b + 7

Therefore, the simplified form of the expression 5t + 7 + 8b is 5t + 8b + 7.

Regarding the equation -2(x + 3) = -6:

To solve this equation, we can follow these steps:

Distribute the -2 to the terms inside the parentheses:

-2 * x + (-2) * 3 = -6

This simplifies to:

-2x - 6 = -6

Move the constant term to the right side by adding 6 to both sides of the equation:

-2x = 0

Divide both sides of the equation by -2 to isolate the variable x:

x = 0 / -2

Simplifying the right side of the equation gives us:

x = 0

The solution to the equation -2(x + 3) = -6 is x = 0.

The simplified expression 5t + 7 + 8b remains as 5t + 8b + 7, and the solution to the equation -2(x + 3) = -6 is x = 0.

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Answer:

Conditional: If I have an 85%, then I get a B.     True

Converse: If I get a B, then I have an 85%.     False; 84% is also a B

So the biconditional statement is false because only the condtional is true.

Answer:

Step-by-step explanation:

The factored form of a quadratic function is f (x) = a (x - p) (x - q) where p and q are the zeros of f (x).

Answer:

-7x^2 +9x-ki

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

88.5

Step-by-step explanation:

formula = ab ×(sin∅)/2

= 18×12 × (sin 55)/2

= 88.5

Answer:

4

Step-by-step explanation:

4x4x4=64

Answer:

4

Step-by-step explanation:

volume of a cube = L³

V=L³

L=

$\sqrt[3]{v}$

L =

$\sqrt[3]{64}$

L = 4

If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).

In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.

Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).

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Answer:

Option (2)

Step-by-step explanation:

Given expression is $\sqrt[3]{64a^6{b}^7{c}^9}$

By simplifying this expression,

$\sqrt[3]{64a^6{b}^7{c}^9}=\sqrt[3]{(4{)}^3(a^2{)}^3(b^2{)}^3(b)(c^3{)}^3}$

                 $=(4a^2{b}^2{c}^3)\sqrt[3]{b}$

Option (1)

$2ab{c}^2\sqrt[3]{4a^2{b}^{3}c}$ = $2a{b}^2{c}^2\sqrt[3]{a^{2}c}$

Option (2)

$4a^2{b}^2{c}^3(\sqrt[3]{b})$ [Fully simplified form]

Option (3)

$8a^3{b}^3{c}^4(\sqrt[3]{bc})$ [Fully simplified form]

Option (4)

$8a^2{b}^2{c}^3(\sqrt[3]{b})$

Expression given in Option (2) is equivalent to the given expression.

Option (2) will be the answer.

The bank reconciliation reveals various errors and discrepancies between ABC Company's records and the bank statement, including missing deposits, incorrect check charges, outstanding checks, unrecorded interest proceeds, fees, NSF charges, and recording errors.

Upon analyzing the bank reconciliation for ABC Company, several discrepancies between the company's records and the bank statement are identified:

A deposit of Br. 410.90 made after banking hours does not appear on the bank statement. This indicates that the deposit was not processed by the bank before the statement was generated.

A check drawn for Br. 79 was charged by the bank as Br. 973. This suggests an error by the bank in processing the check, resulting in an incorrect charge to ABC Company.

Outstanding checks are checks issued in July but have not yet been paid by the bank. The checks include check numbers 801, 888, 890, and 891, with respective amounts of Br. 100.00, Br. 10.25, Br. 294.50, and Br. 205.00.

A check written for Br. 210 was charged by the bank as Br. 120, indicating an error in the bank's recording.

The proceeds from the collection of an interest-bearing note receivable from David, with a face amount of Br. 500, are not reflected in the bank statement.

A Br. 24.75 interest earned on the average account balance during July is included in the bank statement.

A check for Br. 10, which was recorded in the check register as Br. 100, was returned with the statement. This discrepancy could be due to an error in recording the check amount.

A Br. 5.00 fee was charged by the bank for handling the collection of a note receivable.

A Br. 50.25 check from customer John, deposited by ABC Company, was charged by the bank as Non-Sufficient Funds (NSF), indicating that the customer's check bounced.

A Br. 12.70 service charge was imposed by the bank for the month of July.

Check number 875 was issued on July 20 for Br. 85 but was erroneously recorded in the cash payment journal as Br. 58 for the payment of telephone expenses.

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So,the value of the 30th percentile of the given data will be =P30=4

The cumulative distribution function of a real-valued random variable X, or simply the distribution function of X, assessed at x, is the likelihood that X will have a value less than or equal to x in probability theory and statistics.

Using the Cumulative Distribution Function to Calculate Probabilities

F(x) is a cumulative distribution function that calculates the likelihood that the random variable X is smaller than or equal to x:

To get the cumulative probability that X is less than or equal to 1, multiply P(X=0) by P(X = 0) by (P=1):

First, we will determine the value of the cumulative probability P(X<=x):

x         f(x)       P(X<=x)

1       0.02          0.02

2       0.01          0.03

3       0.2          0.23

4       0.17           0.4

5       0.39           0.79

6       0.2           0.99

7 0.01 1

30th percentile will be the x value,

below which less than or equal to 30% of the data falls.

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Answer:

30

Step-by-step explanation:

Solve for n: 0.22n = 6.6.

​

After calculating we found that: a) 95% of widget weights lie between 42 and 54 ounces.b) 97.35% of widget weights lie between 39 and 54 ounces and c) 0.3% of widget weights lie above 45 ounces.

a) Since the distribution is bell-shaped and the mean is 48 ounces with a standard deviation of 3 ounces, we can use the 68-95-99.7 Rule to determine that 68% of the widget weights lie within one standard deviation of the mean, 95% lie within two standard deviations of the mean, and 99.7% lie within three standard deviations of the mean. Thus, we know that 95% of the widget weights lie between:

48 - 2(3) = 42 ounces and 48 + 2(3) = 54 ounces.

b) To find the percentage of widget weights that lie between 39 and 54 ounces, we need to determine how many standard deviations away from the mean these values are.

39 ounces is 9 ounces below the mean, so it is (9/3) = 3 standard deviations below the mean.

54 ounces is 6 ounces above the mean, so it is (6/3) = 2 standard deviations above the mean.

Using the 68-95-99.7 Rule, we know that 99.7% of the widget weights lie within three standard deviations of the mean. Since 39 ounces is three standard deviations below the mean, we can conclude that 0.15% (or 0.003 x 100) of the widget weights lie below 39 ounces.

Likewise, since 54 ounces is two standard deviations above the mean, we know that 2.5% of the widget weights lie above 54 ounces. Thus, the percentage of widget weights that lie between 39 and 54 ounces is:

100% - 0.15% - 2.5% = 97.35%

c) We need to find the percentage of widget weights that lie above 45 ounces. Since 45 ounces is three standard deviations below the mean, we know that 99.7% of the widget weights lie above 45 ounces. Therefore, the percentage of widget weights that lie above 45 ounces is:

100% - 99.7% = 0.3%.

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Answer:

2/5

Step-by-step explanation:

4/5*1/2

=2/5

Answer:  600,000 + 70,000 + 5,000 + 400 + 30 + 2

Explanation:

Each digit forms a different number depending on its place value.

The 6 is in the hundred thousands place value, so the 6 in 675,432 corresponds to 600,000. Similar ideas apply for the other digits as well

2g - 5+ g = 31

3g -5 = 31

3g+5-5=31+5

Addition Property of Equality

3g=36

3g/3 =36/3

Division Property of Equality

g= 12

B. Commutative Property of Addition

Answer:

Step-by-step explanation:

we can have infinite similar triangles with different side lengths but if the  base length is same then two triangles on the opposite side of base.

On one side of base  only one triangle can be formed.

Answer:

  x -3y -3z = 0

Step-by-step explanation:

You want to write "City A has three times as many people as cities B and C combined" as an equation in standard form, letting x, y, z, w represent the populations of cities A, B, C, D, respectively.

The populations of cites B and C combined can be expressed by ...

  y +z

Three times the combined population is then ...

  3(y +z)

This is equal to the population of city A, so we can write ...

  x = 3(y +z)

This equation is in standard form when all of the variable terms are on one side of the equal sign, and the expression is simplified.

  x -3(y +z) = 0 . . . . . . . subtract the right side expression

  x -3y -3z = 0 . . . . . . . eliminate parentheses; standard form

Given:

Length of taller tree = 50 feet

Length of shorter tree = 20 feet

Length of shadow of taller tree = 18 feet

To find:

The length of shadow of shorter tree.

Solution:

Since, two trees standing side by side in the sunlight, therefore the length of trees are proportional to their shadows.

Let the length of shadow of shorter tree be x feet.

Using the given information, we get

${\displaystyle \frac{50}{18}}={\displaystyle \frac{20}{x}}$

By cross multiplication, we get

$50\times x=20\times 18$

$50x=360$

$x={\displaystyle \frac{360}{50}}$

$x=7.2$

Therefore, the length of shadow of shorter tree is 7.2 feet.

Answer:

y = (5/2)x - 4

Step-by-step explanation:

(0, -4) and (2, 1)

(x₁, y₁)         (x₂, y₂)

        y₂ - y₁         1 - (-4)         1 + 4        5

m = ------------- = ------------ = --------- = --------

         x₂ - x₁         2 - 0            2            2

y - y₁ = m(x - x₁)

y - (-4) = (5/2)(x - 0)

y + 4 = (5/2)x - 0

   -4                 -4

----------------------------

y = (5/2)x - 4

I hope this helps!

Answer:

0.000000

Step-by-step explanation:

It's undefined

Answer:

what percent of 2300 is 1265 is the question , sooo  divide 1265 by 2300. why?  b/c 2300 is the total.. so that goes in the denominator and 1256 is our give number so that goes in the numerator of the fraction of those numbers to give us their ratio   :)  or  percentage.. if you understand that.. you're on a good road.  

Step-by-step explanation:

1265 / 2300 = .55   or  55%  :)  a bit more than 1/2 of the people .. which makes total sense  b/c 1/2 of 2300 is 1150 right?  so 50% of 2300 is 1150

55%  :) is the answer

Student has,

                    Number of 1 dollar bill (x) = 10   and

                    Number of 5 dollar bill (y) = 9

Pair of Linear equation in two variable and solution:

                   general form of pair of linear equation are,

                      $$\begin{gathered} a_{1}x+b_{1}y=c_1 \\ {a}_{2}x+b_{2}y=c_2 \end{gathered}$$

                     value of x and y satisfying both the equation is called ordered pair of equation.

Let the student has,

                    x  number of 1 dollar bill

            and,

                    y number of 5 dollar bill

According to question,

Total number of bill is 19 bills

so,

         x + y = 19      ---------------- (I)

Again total bill worth is 55 dollars

so,

        x * 1 + y * 5 = 55

                x + 5y = 55        -- --- ------ (II)

Subtracting equation (I) from (II) we get,

                 5y - y = 55 - 19

                 4y = 36

                  y = 36/4

                  y = 9

from equation (I),

                x + y = 19

                x + 9 = 19

                      x = 19 -9

                        x = 10

Hence,

             x =10  and y = 9

        Number of 1 dollar bill (x) = 10

and,

        Number of 5 dollar bill (y) = 9

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Answer:

initial speed: 240 m/h

Step-by-step explanation:

48 m/h is the current speed which is the 20% of X

x (20 / 100) = 48

20x = 4800

x = 4800/20

x = 240 m/h

The 20% decrement of 60 mph will be 48 mph thus the initial speed of the bus will be 60 miles per hour.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

Let's say the initial speed of the bus was V.

The 20% of V = 0.20V

The 20% decrement = V - 0.20V = 0.80V

Thus, 0.80V = 48

V = 60 mph

Hence "The 20% decrement of 60 mph will be 48 mph thus the initial speed of the bus will be 60 miles per hour".

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Answer:

$k=2$

Step-by-step explanation:

$$\begin{gathered} \text{P(blue ;bead)}={\displaystyle \frac{\text{Number of blue beads}}{\text{Total number of beads}}} \\ \text{Number of blue beads }=k \\ \text{Total number of beads }=k+4 \end{gathered}$$

$\text{P(blue ;bead)}={\displaystyle \frac{k}{k+4}}$

$$\begin{gathered} \text{We are given this probability as }{\displaystyle \frac{1}{3}} \\ \text{So,} \\ {\displaystyle \frac{k}{k+4}}={\displaystyle \frac{1}{3}} \end{gathered}$$

Cross-Multiplying this equation we get
$$\begin{gathered} k\cdot 3=1\cdot (k+4) \\ ⟶3k=k+4 \\ 3k-k=4 \\ 2k=4 \\ k=2 \end{gathered}$$

Using the expression 2/7 × 28 it is obtained that Professor Elena has 8 pencils left after distributing 5/7 of the pencils to her students.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

The total number of pencils Professor Elena bought is  28 pencils.

If Professor Elena bought 28 pencils, and she distributed 5/7 of them to her students.

The fractional expression will be -

1 - 5/7

Simplifying the expression we get -

(7 - 7) / 2

2/7

Then she kept 2/7 of the pencils for herself.

The number of pencils she has with her will be -

2/7 × 28 = 8 pencils

Therefore, Professor Elena has 8 pencils left after distributing 5/7 of the pencils to her students.

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Professor Elena bought 28 pencils and distributed 5/7 of the pencils to her students. How many pencils did teacher Elena have left?​