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The confidence interval for the salary of new accounting professors is given by [130.026, 139.974].

We have,

Professors of accountancy are in high demand at American universities. A random sample of 28 new accounting professors found the average salary was $135 thousand with a standard deviation of $16 thousand.

So, Sample size, n= 28

Sample Mean,  x  = 135

Standard deviation, σ = $16 thousand

The confidence level is given by, C = 90%

So, the significance level is given by, α = 1 - C

α = 1 - 0.9

α = 0.1

Now, we need to calculate the confidence interval for the population mean.

Confidence Interval = Sample Mean ± Margin of Error

The margin of Error, E = (z) (σ/√n)

where the z value for a 90% confidence level is given by

Using the z-table we get, the value of z at 0.05 is 1.645

So, the Margin of Error is

E = (z) (σ/√n)

E = 1.645 (16/√28)

E = 4.974

Now, the confidence interval is given by

Confidence Interval = Sample Mean ± Margin of Error

Confidence Interval = 135 ± 4.974

Confidence Interval = [130.026, 139.974]

So, the salary of new accounting professors is given by [131.19, 138.81].

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The positive difference between the two probabilities is 11/35.

To calculate the probability that three distinct numbers chosen at random without replacement from the set would have an even sum, Jan would consider the number of ways to choose three even numbers (4 choose 3) and divide that by the total number of combinations of three numbers (7 choose 3).

To calculate the probability that three distinct numbers chosen at random without replacement from the set would have an even product, Judy would consider the number of ways to choose three numbers such that the product is even (3 choose 2) and divide that by the total number of combinations of three numbers (7 choose 3).

The positive difference between the two probabilities would be the difference between these two calculations. In this case, 11/35 is a positive difference, meaning that the probability of having an even product is 11/35 higher than the probability of having an even sum.

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The dimension of a cube cd is 12 cm

what is dimension?

Given :

1728 cm

( Side)³ = 1728

Side = ³✓1728

Side = 12 cm

In square all the sides are equal

so the dimension of length and width both are 12 cm

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Answer:

B

Step-by-step explanation:

There is brackets because the points 3 and 5 are included in the line and the range is 3,5 because the range is the y values.

The range of the given graph is [3, 5].

Hence option B is correct.

Using the concept of graph of fucntion defined as:

Drawing the curve that represents a function on a coordinate plane is known as graphing a function. Every point on the curve will satisfy the function equation if the curve (or graph) reflects the function.

In the given graph,

The maximum value is 5 at x = 2

The minimum value is 3 at x = 5

The spread of potential y-values (from minimum y-value to maximum y-value) is referred to as a function's range.

So the range of this graph is bounded in [3, 5].

Hence,

The range of the graph is [3, 5] which is Option B.

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Answer: each female costume requires 8 metres of fabric and every male costume requires 6 metres of fabric.

Explanation-

let f be the female costumes and m be the male costumes:

3f + 4m = 48

3f + 2m = 36

solve simultaneous equations

2m = 12

male = 6 metres

sub vale back in

3f + 2m = 36

3f + (2×6) = 36

3f + 12 = 36

3f = 24

f = 8 metres

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Answer:

= 4.875 × 105

(scientific notation)

= 4.875e5

(scientific e notation)

= 487.5 × 103

(engineering notation)

(thousand; prefix kilo- (k))

Take a look below.

Answer is attached.

Answer:

13

Step-by-step explanation:

Step 1:

PQ + QR = PR

Step 2:

5 + 8 = PR

Answer:

PR = 13

Hope This Helps :)

The probability of contracting an illness is 0.0475.

According to our question-

D: The patient has the illness

ND: the individual without the disease

TD: The results of the test show the patient has the illness.

P(D) will therefore equal 0.001 since only 0.001 of the population is affected by the disease.

P(ND) = 0.991

Because the test successfully identifies a patient with the condition 99% of the time, P(TD/D) = 0.99.

P(TD/ND) = 0.02 because the test indicates that a healthy person contracts the disease 2% of the time.

We are seeking for P(D|TD) and P(ND|TD), respectively.

According to the Bayes formula, 0.00099/0.00099+0.01982 = 0.00099/0.02081 = 0.0475 = (0.99*0.001)/(0.99*0.001)+(0.02*0.991)

And, \s = 1 - \s = 1 - 0.0475 \s = 0.9525

Therefore,

The likelihood of having an illness is 0.0475.

The likelihood of not having any sick people is 0.9525.

Hence, The probability of contracting an illness is 0.0475.

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Answer:

Step-by-step explanation:

A bitmap is a digital image format that is made up of a grid of square colored dots called pixels.

Each pixel in the bitmap contains information about its color and position, which allows the computer to display the image on a screen or print it on paper. Bitmaps are commonly used for photographs, illustrations, and other complex images that require a high degree of detail and color accuracy.

However, because bitmaps store information for each individual pixel, they can be memory-intensive and may result in large file sizes. Additionally, resizing a bitmap can lead to a loss of quality, as the computer must either interpolate or discard pixels to adjust the image size.

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Answer:

5

Step-by-step explanation:

Oranges: 3.46 $

Grapes: 1.36 $

Apple: They didn't leave you with the cost of the apple so I don't know

Add 3.46 plus 1.36 and you get 4.82. Then round that to 5.00.

Brainlist maybe? :)

The hole will be of a radius of 7.63 inches when its perimeter is 48 inches.

The hole is in the form of a circle.

The perimeter of the circle = perimeter of the hole = 48 inches.

Let r be the radius of the vent,

The perimeter of the circle is known as the Circumference.

Circumference of the circle is given by \(2\pi r\)

So,

\(2\pi r = 48\\\\2*\frac{22}{7} *r =48\\\\r =\frac{48*7}{22*2} =7.63\)

The hole will be of a radius of 7.63 inches.

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Step-by-step explanation:

everything can be found in the picture

Answer:

(0-2)

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

A horizontal line has a slope of zero

Using the formula

m = (y2-y1)/(x2-x1)

    = (1-1)/(2 - -2)

    = 0/(2+2)

    = 0/4

Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

The graph of the inequality is added as an attachment and a solution is (1, 5)

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

y ≥ -x + 3

y > 2x - 6

The above expression is an inequality that implies that:

The inequality is a linear inequality

Next, we plot the graph

One of the points in the shaded region is (1, 5)

See attachment for the graph of the inequality

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When performing a significance-test for comparing dependent means, several assumptions are necessary to make a valid inference- Normality, Equal variances, Independence,Random-sampling.

Some of these assumptions are:

Normality: The distribution of differences between the paired observations must be approximately normal.

This can be assessed using a normal probability plot or by conducting a normality test.

Equal variances: The variances of the paired differences should be approximately equal.

This can be assessed using the Levene's test.

Independence: The paired differences should be independent of each other.

This means that each observation in one sample should not influence the corresponding observation in the other sample.

Random sampling: The observations should be selected randomly from the population of interest.

This ensures that the sample is representative of the population.

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5) Answer:

\(2b^{2} c\)

6) Answer:

\(4x^{6} \)

The answer for the first equation is option C. And option A is the answer for the second equation.

Solving a system of equations, we conclude that they sold 20 bags of chips and 5 fruit snacks.

First, let's define the variables:

Now we know that they sold 15 more bags of chips than fruit snacks, then:

x = y + 15

We also know that they made a total of $42.50

Then we can write the system of equations:

x = y + 15

x*$1.75 + y*$1.50 = $42.50

To solve that, we can replace the first equation into the second one to get:

(y + 15)*$1.75 + y*$1.50 = $42.50

$26.25 + y*$3.25 = $42.50

y = ($42.50 - $26.25)/$3.25 = 5

And we know that x is equal to y plus 15, then:

x = 15 + y = 15 + 5 = 20

Then we conclude that they sold 20 bags of chips and 5 fruit snacks.

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Answer:

6200 rupees

Step-by-step explanation:

Think the monthly income x

According to the question

The equation is

x×28%=1736

x×28/100=1736

x=1736÷28/100

x=1736×100/28

x=62×100

x=6200

So monthly income is 6200 rupees

Answer:

\(6200\ Rupees\)

Step-by-step explanation:

\(We\ are\ given\ that,\\Percent\ of\ salary\ Marin\ spends\ for\ her\ loans=28 \% \\Amount\ of\ total\ payment\ on\ the\ loans= 1736\ rupees\\Hence,\\Let\ her\ monthly\ income\ be\ x\\Hence,\\The\ question\ also\ tells\ us\ that:\\28 \%\ of\ Marin's\ Monthly\ Income= Loan\ Payment\\Or,\\28 \%\ of\ x=1736\\Hence\ as\ 28 \%\ can\ also\ be\ represented\ as: \frac{28}{100},\\\frac{28}{100}*x=1736\\Hence\ by\ multiplying\ the\ LHS\ and\ RHS\ with\ \frac{100}{28},\\\)

\(\frac{28}{100}*\frac{100}{28}*x=1736*\frac{100}{28}\\Hence,\\x=62*100\\x=6200\\\)

Answer:

3360000

Step-by-step explanation:

Answer:

just multiply seperate

Answer: $223,600

Step-by-step explanation:

Since it is $86 per square foot and you're replacing the 2,600 square foot house you would just take 2,600 × 86 and get 223,600 dollars.

Answer:

-61

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write expression

-18/-6 + 8 × - 8

Step 2: Divide

3 + 8 × -8

Step 3: Multiply

3 - 64

Step 4: Subtract

-61

Answer:

If instructed to simplify the question, your answer is -5+8x.

Step-by-step explanation:

-18 divided by -6 equals positive 3.

3 + 8x -8 would become -5+8x, because 3 minus 8 is -5. Hope this helps!

The rate of inflating is r=30% per month.

The bill of food after three months can be determined as,

Thus, the bill after three months will be $263.64.

====================================================

Work Shown:

Everywhere you see an x, replace it with 5.

Then use PEMDAS to simplify.

y = 4*(x-2)*(x-3) + 7*(x-2)*(x-5) - 6*(x-3)*(x-5)

y = 4*(5-2)*(5-3) + 7*(5-2)*(5-5) - 6*(5-3)*(5-5)

y = 4*(3)*(2) + 7*(3)*(0) - 6*(2)*(0)

y = 24 + 0 - 0

y = 24

This means,

4*(x-2)*(x-3) + 7*(x-2)*(x-5) - 6*(x-3)*(x-5) = 24

when x = 5

Answer:

should be 74, if it isnt, im sorry.

The progress of the reaction can be monitored using TLC measurements until the product is formed, and the starting materials are consumed. Save your TLC plates by clicking Save on the TLC window. Screen shot your TLC results.

5. When the reaction is complete, "work up" your reaction by doing a separatory funnel extraction. Transfer the reaction mixture to the separatory funnel, rinse the reaction flask with additional solvent and add it to the separatory funnel.

Extract the organic layer with water, dry with anhydrous sodium sulfate and concentrate using rotary evaporation. Monitor the progress of the extraction using TLC measurements as necessary until the product has been isolated.The reaction mixture was stirred for several hours. After stirring, the product was concentrated with rotary evaporation, then dissolved in ether.

This was then washed with water, dried with anhydrous sodium sulfate and then concentrated by rotary evaporation. The resulting yellow solid was then dissolved in dichloromethane, filtered, and concentrated to yield a white crystalline solid. The solid was then washed with ether and dried to give the desired product. After isolation and washing, the product was analyzed by NMR.

A mixture of cis and trans isomers were obtained. The product was purified by silica gel column chromatography and reanalyzed by NMR. The NMR spectra obtained were consistent with the desired product. The percent yield was 70%. The melting point of the purified product was 95-98°C.

The reaction mixture stirring in the flask should be observed. The progress of the reaction can be monitored using TLC measurements until the product is formed, and the starting materials are consumed. Save your TLC plates by clicking Save on the TLC window. Screen shot your TLC results.

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The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).

Let's simplify the given expression step by step using the given terms:
Expression:

\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)

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Answer:

21 divided by 3

21 divided by 7

7 times by 3

Answer:

can u help me for me ques pls

Answer:

About 231 students enrolled

Step-by-step explanation:

3.3 times 106 is about 349.8 students that graduated.

0.66 percent graduated right? So multiply 349.8 times 0.66 to get 230.868