Based on USDA suggestion, a U.S. adult should be spending anywhere from $165 to $345 per month on food, depending on age and gender. A random sample of 120 adults in Washington State is polled regarding the amount of money they spend each month on food. The sample has an average of $273.61 with a standard deviation of $61.59. Based on this information, complete the following questions.
a) (5pts)Show that the requirements to build a confidence interval are met.
b) (5pts)State the critical value for a 90% confidence interval
c) (5pts)Compute the 90% confidence interval. State values to two decimal places.
d) (5pts)Interpret the 90% confidence interval using complete sentences.

Answer:

3060

Step-by-step explanation:

Answer:

3,060

Step-by-step explanation:

9000 x 0.34 = 9000 x 34/100

9000 x 34/100 = 306000/100

306000/100 and 100/100 = 3060

The true statements from the given information are:

From the two-way frequency table of the dataset, we have the following highlights

From the above highlight, we can conclude that options (b) and (c) are correct

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Answer:

B, C, E on edge2022

Step-by-step explanation:

The standard form of the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3) is (2x - y = -1)

To determine the equation of a line perpendicular to the line (3x + 6y = 5) and passing through the point (1, 3), we can follow these steps:

1. Obtain the slope of the provided line.

To do this, we rearrange the equation (3x + 6y = 5) into slope-intercept form (y = mx + b):

6y = -3x + 5

y =\(-\frac{1}{2}x + \frac{5}{6}\)

The slope of the line is the coefficient of x, which is \(\(-\frac{1}{2}\)\).

2. Determine the slope of the line perpendicular to the provided line.

The slope of a line perpendicular to another line is the negative reciprocal of the slope of the provided line.

So, the slope of the perpendicular line is \(\(\frac{2}{1}\)\) or simply 2.

3. Use the slope and the provided point to obtain the equation of the perpendicular line.

We can use the point-slope form of a line to determine the equation:

y - y1 = m(x - x1)

where x1, y1 is the provided point and m is the slope.

Substituting the provided point (1, 3) and the slope 2 into the equation, we have:

y - 3 = 2(x - 1)

4. Convert the equation to standard form.

To convert the equation to standard form, we expand the expression:

y - 3 = 2x - 2

2x - y = -1

Rearranging the equation in the form (Ax + By = C), where A, B, and C are constants, we obtain the standard form:

2x - y = -1

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Answer: One way is Rise/Run or Y/X

Step-by-step explanation:

You first find two points on the graph and Y2-y1 gives you the rise and X2-X1 gives you the run you then put the rise on top and the run below to get Y/X or rise over run

Hope this helped

Answer:

1 inch represents 60 feet.

Step-by-step explanation:

120/2

= 60

So his scale is 1:60

Answer:

Its 1 inch represents 60 ft

Step-by-step explanation:

you have to divide 120 by 2 and thats 1 inch per 60 feet

Answer:

this is confusing

Step-by-step explanation:

Answer:

0 because 0 times whatever is 0

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The left side 60.35 does not equal to the right side 15, which means that the given statement is false.

Answer:

1.25p

p+0.25p

Step-by-step explanation:

The vector pairs v, (22,15) and v₂ = (-2,4) are not orthogonal.

Vector algebra entails performing algebraic operations on vectors. Vector algebra performs algebraic operations on vector magnitude and vector direction. Many applications in physics and engineering use vector algebra to perform addition and multiplication operations on physical quantities represented as vectors in three-dimensional space.

Given that the vector pairs are v, (22,15) and v₂ = (-2,4). For the vectors to be orthogonal the dot product should be equal to zero.

Calculate the dot product for the given points,

V = ( 22i + 15j) . ( -2i + 4j )

V = -44 + 60  Here, (i.i =1 and j.j = 1)

V = 16

The dot product is not equal to zero. Hence, the vectors are not orthogonal.

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The decimal representation of binary number is r = 1 x 2⁰ + 0 x 2¹ + 1 x 2² + 1 x 2³+ ............... +  1 x 2⁶³

To convert r to decimal representation, we need to use the following formula:

r = 1 x 2⁰ + 0 x 2¹ + 1 x 2² + 1 x 2³+ ............... +  1 x 2⁶³

In this formula, represents the i-th bit of the binary representation of r, and the exponent represents the place value of that bit. The rightmost bit, or the one with the smallest exponent, has a place value of 2⁰, while the leftmost bit, or the one with the largest exponent, has a place value of  2⁶³

Let's say we have the binary representation 1101. To convert this to decimal, we would use the formula:

r = 1 x 2⁰ + 0 x 2¹ + 1 x 2² + 1 x 2³

Simplifying this equation, we get:

r = 1 + 0 + 4 + 8

r = 13

So, the decimal representation of the binary number 1101 is 13.

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Complete Question:

Write the number r in decimal representation if the 64-bit binary representation of r by using the Boolean expressions.

Answer: y intercept = 3 ✅

Step-by-step explanation:

Hii, do you need to know the y intercept of the line that is described by the line y=-6x+3? No problem. (:

Note that this particular equation is given to us in "slope intercept" form.

The "slope intercept" formula is y=mx+c, in which "m" denotes the slope and "c" denotes the y intercept.

Looking back at our equation, let's consider this:

"What is the y intercept of the line that is described by the equation y=-6x+3?"

Note that the y intercept is a constant number; it does not come before any variables.

\(\large\boldsymbol{\therefore,\;the\;y\;intercept\;is\;3}\)

Voila! There's our solution, cheers! (:

--

Hope that this helped! Best wishes.

\(\it Reach\qquad far.}\\Aim\qquad high.}\\Dream\qquad big.\)

--

\(\bigstar\underbrace\)

Answer:

A)a rectangle 5 inches by 6 inches to get the results

Answer:

c^(8)

Step-by-step explanation:

(c^5)(c)(c^2)

When the bases are the same, we can add the exponents when multiplying

The implied exponent on c is c^1

c^( 5+1+2)

c^(8)

Bisect means it is in the middle so that the length of each side would be the same.

The bisector is point W

The cost of cementing the walls of the cuboidal well is Rs 3640.

A three-dimensional solid form with six rectangular sides is called a cuboid. It also goes by the name rectangular prism. The shapes and sizes of the faces on either side of each other are identical.

A cuboid's surface area is the sum of all of its faces. We can determine the area of each face and put them together to determine the cuboid's surface area.

Given that, the cost of cementing the walls of the well at the rate Rs 52 per square m.

Thus,

Area of one rectangular face = length x height = 2 x 10 = 20m².

Area of the other rectangular face = width x height = 1.5 x 10 = 15m².

Total surface area of the walls = 2(20) + 2(15) = 70m².

Now, the cost of cementing the walls of the well at the rate of Rs 52 per m² is:

Cost = 70m x Rs 52 = Rs 3640

Hence, the cost of cementing the walls of the well is Rs 3640.

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Answer:

5

Step-by-step explanation:

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Answer:

it would be 6 hoodies and he had a total of $4 dollars remaining

Step-by-step explanation:

Answer:

They are 13 dollars off, with a new price of $19.50

Step-by-step explanation:

40% can be written as 0.4, so just multiply 0.4 by 32.50

0.4 times 32.5 = 13

32.5 - 13 = 19.5

13 dollars off, with a new price of 19.5

Answer: The answer is 12%

Step-by-step explanation:

Answer:

A.)  THE COST INCREASE IS 12%.

Step-by-step explanation:

Answer:

B. 5

Step-by-step explanation:

Answer: B

Step-by-step explanation:

The model "4 fraction bars. The fraction bars are labeled 1 and each have 6 boxes underneath labeled one-sixth" shows 4 divided by one-sixth = 24

The correct answer option is option A

Given:

4 fraction bars

If each fraction bars has 6 boxes, then, the total boxes for 4 fraction bars can be solved using ratio

1 fraction bars : 6 boxes

4 fraction bars : x

Equate the ratios

1 : 6 = 4 : x

1/6 = 4/x

cross product

1 × x = 4 × 6

x = 4 × 6/1

Divide by the reciprocal of 6/1

x = 4 ÷ 1/6

Hence the division problem that modelled the expression is 4 ÷ 1/6

4÷1/6 = 4×6/1

4÷1/6 = 24

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The gross requirement for item B in Week 3 is 80 units.

The gross requirement for item B in Week 3, we need to calculate the demand for item B based on the bill of materials and the requirements for item A.

From the MPS (Master Production Schedule) provided, we can see that the gross requirement for item A in Week 3 is 80 units.

According to the bill of materials, item A requires 1 unit of item B. Therefore, the gross requirement for item B can be calculated by multiplying the gross requirement for item A by the quantity needed for item B in the bill of materials.

Gross requirement for item B = Gross requirement for item A × Quantity needed for item B in bill of materials

Gross requirement for item B = 80 units × 1 unit

Gross requirement for item B = 80 units

Therefore, the gross requirement for item B in Week 3 is 80 units.

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To evaluate the definite integral ∫[-40,811, -352] x^3 dx, we can use the power rule of integration. Applying the power rule, we increase the exponent of x by 1 and divide by the new exponent:

∫ x^3 dx = (1/4) x^4 + C,

where C is the constant of integration.

Now, we can evaluate the definite integral by substituting the upper and lower limits:

∫[-40,811, -352] x^3 dx = [(1/4) x^4] |-40,811, -352

= (1/4) (-40,811)^4 - (1/4) (-352)^4.

Evaluating this expression will give us the value of the definite integral.

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The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents

Interest = P x R x T.

Where:

P = Principal amount (the beginning balance).

R = Interest rate

T = Number of time periods

In this case, we are given that;

Principal amount (P) = $580

Interest rate (R) = 6,5 %

Time = 1 year

Hence, The amount of the interest = 6,5% of $580

                                                     = 0.065 × $580

                                                     = $37.7

1 dollar = 100 cents

Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents

P = (1 – d) x

Where,

P = Price after discount

D = discount rate

X = regular price

In this case, we are given that:

P = $32.89

D = 85% = 0,85

Hence, the regular price:

P = (1 – D) x

32.89 = (1 – 0.85) X

32.89 = 0.15X

X = 32.89/0.15

X= 219.27

1 dollar = 100 cents

Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents

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Answer:

point slope form: y - 1 = 4 (x -2)

slope intercept form: y = 4x -7

Step-by-step explanation:

If you want it in point slope form it would be: y - 1 = 4 (x -2)

but if you want it in slope intercept form, you solve this equation

y -1 = 4 (x-2)

y-1 = 4x -8

 +1          +1

y = 4x -7 in slope intercept form

Step-by-step explanation:

Probabibility = 1/6 * 1/6 = 1/36 = 2.77%.

The standard normal curve, also known as the standard normal distribution or the z-distribution, is a specific probability distribution that follows a bell-shaped curve. The area under the standard normal curve to the right of z = 3 is approximately 0.0013.

For the area under the standard normal curve to the right of z = 3, we need to calculate the cumulative probability from z = 3 to positive infinity.

The standard normal distribution, also known as the z-distribution, has a mean of 0 and a standard deviation of 1. It is a symmetric bell-shaped curve that represents the distribution of standard scores or z-scores.

Using statistical tables or software, we can find the cumulative probability associated with z = 3, which represents the area under the curve to the left of z = 3.

The cumulative probability for z = 3 is approximately 0.9987.

For the area to the right of z = 3, we subtract the cumulative probability from 1.

Therefore, the area to the right of z = 3 is approximately 1 - 0.9987 = 0.0013.

In conclusion, the area under the standard normal curve to the right of z = 3 is approximately 0.0013.

This means that the probability of randomly selecting a value from the standard normal distribution that is greater than 3 is approximately 0.0013 or 0.13%.

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Answer:

Step-by-step explanation:

if +8x = -48

x = 48/8

x = 6

plug x into eq. below

= 50 - 9x

= 50 - 9(6)

= -4

Answer:

B) \(\displaystyle \frac{1}{16}\)

Step-by-step explanation:

\(\displaystyle \frac{1}{16} = \frac{\frac{1}{8}}{2} \\ \\ OR \\ \\ \frac{1}{8} \div 2 = \frac{1}{8} \times \frac{1}{2} = \frac{1}{16}\)

I am joyous to assist you at any time.