The set S = {x|1 < x < 4} is described by which interval notation?[1,4][1,4)(1,4](1,4)

Answer: The number of car stereos had a CD player only = 72

Step-by-step explanation:

As per given,

Number of car stereos had CD player = 112

Number of car stereos had both CD and a cassette player= 40

Then, the number of car stereos  had a CD player only = (Number of car stereos had CD player ) -(Number of car stereos had both CD and a cassette player)

= 112- 40

= 72

Hence, The number of car stereos had a CD player only = 72

Answer:

The best decision to make is to reject the null hypothesis.

Step-by-step explanation:

From the above question, we are given the following information:

population mean = IQ of 100

Standard deviation = 12

Sample mean = IQ of 104

Assuming she computes a one-sample z test at a .05 level of significance,

Looking at the above information,

Sample mean - Population mean

= 104 - 100

= 4

We can see that the sample mean is 4 points higher than the population mean.

Hence, we would be rejecting the null hypothesis because of this. This difference of 4 is highly significant.

The circumference of a circle with a radius of 14 feet is 88 feet.

Every point in the surface of a circle, which is a circular, two-dimensional object, is evenly separated from the centre. All lines that cross the circle join together to produce the line of reflected symmetry. Each angle has axis of symmetry around the centre, in addition. Monitoring a linear interpolation in a surface while keeping a fixed distance from some other point will result in the closed shape of a circle. The English term circle derives from the Greek word curriculum provides students, which also means hoop or ring.

When we find the circumference, we obtain:

The  circumference( C) of a circle is 2πr.

C=2πr

⇒C=2×\(\frac{22}{7}\)×14=88 feet.

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Answer:

-127

Step-by-step explanation:

u(x)=2x-2

w(x)= -2x^2+1

w(u(5))=?

---------

u(5)= 2*5-2= 8

W(8)= - 2*64+1= -127

Answer:

that was the wrong answer this site sucks

Answer:

35 gallons

Step-by-step explanation:

one week = 7 days

5 gallons per day

one week = 7 days * 5 gallons

= 35 gallons in a week

If water flows into the container at a constant rate of 6 cubic feet per minute, the rate at which the water level rising when the height of the water is 5 feet is; 0.688 ft/min

When we are given an equation that gives the relationship between two or more variables, then by differentiating the equation with respect to time would give us a new equation that involves the rate of change of each of the given variables.

We are given the dimensions of the tank as;

Radius; r = 4 feet

Height; h = 12 feet.

The water in the tank will also have a conical shape.

By similar triangles, we know that;

r/h = 4/12

r = h/3

Now the volume of the water is;

V = ¹/₃πr²h

Put h/3 for r in this volume equation to get;

V = ¹/₃π(h/3)²h

V = (1/27)πh³

Differentiating with respect to time gives;

dV/dt = (3/27)πh²(dh/dt)

We are given;

dV/dt = 6 cubic feet per minute

h = 5

Thus;

6 = (3/27)π(5²)(dh/dt)

dh/dt = 0.688 ft/min

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Answer:

x=4 and y=0

Step-by-step explanation: To solve, solve for x and y by substituting for the opposite intercept. For y, substitute x for 0 (since the coordinates for the x-int are always 0). Do the same for x.

   Check:

3(4)+8(0)=12

      and

8(4)+3(0)=32

Hope this helps,

Lacia :))

The number of time 6 appears is 56 and total frequancy observation is,

The possibility for the 6 in 190 obsevations is,

The possibility for 570 observations is,

So answer is 168.

Answer:

4%

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

4 of 25 is purple

so 4 divide by 25 times 100 gives as 16 percent

make me branlist answer

Answer:

a. \(\tt \frac{1}{9}\)

b. \(\frac{1}{16}\)

c. 4

Step-by-step explanation:

\(\tt a. \:3^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\) So, we have:

\(\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\)

\(\hrulefill\)

\(\tt b.\: -2^{-4}\)

We can use the rule that \(\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.\) So, we have:

\(\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}\)

\(\hrulefill\)

\(\tt c. \:(\frac{1}{2})^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\). So, we have:

\(\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4\)

Answer:

Step-by-step explanation:

(a) 3^-2 = 1/9

(b) (-2)^-4 = 1/(-2)^4 = 1/16

(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4

The final coordinates of the transformed figure are A"(-12,-8), B"(0,-16) and C"(-16,-16)

To translate the figure by <6,4>:

Add 6 to the x-coordinate of each point to get the new x-coordinate

Add 4 to the y-coordinate of each point to get the new y-coordinate

New coordinates:

A'(-3+6,-2+4) = (3,2)

C'(-4+6,-4+4) = (2,0)

B'(0+6,-4+4) = (6,0)

To dilate the figure K=4:

The coordinates x and y are multiplied by 4.

New coordinates:

A"(-34,-24) = (-12,-8)

C"(-44,-44) = (-16,-16)

B"(04,-44) = (0,-16)

Hence, the final coordinates of the transformed figure are A"(-12,-8), B"(0,-16) and C"(-16,-16)

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Answer: C

Step-by-step explanation:

The opportunity cost of receiving a 90 on the statistics exam is 17  points on the economics exam.

Two or more expressions with an Equal sign is called as Equation.

The Opportunity cost in this case is the amount of points that Jose has to forgo for picking one alternative.

If Joe had picked strategy B which would give Jose 90 points on statistics then that means that Jose would not have picked strategy A which gave a 94 in Economics.

Therefore instead of getting a 94, Jose would get a 77. The opportunity cost is therefore;

= 94 - 77

= 17 points

Hence, the opportunity cost of receiving a 90 on the statistics exam is 17  points on the economics exam.

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The statement that correctly compares -9 and 2 is A. -9 < 2 because 9 is to the left of 2 on a number line.

In arithmetic, a number line is a depiction of a graduated straight line which functions as a graphic representation of real numbers. It is presumed that every number line point and every real number correspond to one another.

Horizontal straight lines termed number lines have integers along them spaced equally apart. All of the numbers in a series can be shown on a number line. This line extends indefinitely at both ends.

In this case, -9 is on the left of a number line since it's negative. In conclusion, the correct option is A

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Answer:

I think. its below

Step-by-step explanation:

1 x 8 = 8

4 x 8 = 32

If Ann broke up a large array into two smaller arrays. The two smaller arrays show 1 X 8 and 4 X 8 then 40 is Anna started array.

Multiplication is a method of finding the product of two or more numbers

Given,

Ann broke up a large array into two smaller arrays.

Th first smaller array show  1 X 8

The second smaller array show  4 X 8.

First smaller array show  1 X 8

=8

Second smaller array show  4 X 8.

32

Now let us add both the arrays

32+8=40

Hence, 40 is the  large array that Ann started.

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Answer:

  write factor pairs of 3^4

Step-by-step explanation:

Take the anti-log, then identify integer factor pairs of the number on the right side of the equal sign. One of the factors in each pair is the value of "a", the other is the value of "b".

_____

The solution you didn't want to see

Take the antilog:

  ab = 3^4

Find factor pairs of 3^4:

  3^4 = 1×81 = 3×27 = 9×9 = 27×3 = 81×1

Possible solutions are ...

  (a, b) ∈ {(1, 81), (3, 27), (9, 9), (27, 3), (81, 1)}

Answer:

b. x=4 and y= 2

...........

Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

The probability of a defect is 5.7330 x \(10^{-5}\) and the number of defects is 5.73.

To calculate the probability of a defect, we need to find the area under the standard normal curve that lies outside of the process control limits of 9.75 ounces and 10.25 ounces. We can use the standard normal distribution table to find this area.

First, we need to standardize the weight limits as follows -

\(Z_{lower}\) = (9.75 - 10) / 0.25 = -4

\(Z_{upper}\) = (10.25 - 10) / 0.25 = 4

Next, we will find the area under the standard normal curve that lies outside of these limits as follows -

P(Defect) = P(Z < -4) + P(Z > 4)

Using a standard normal distribution table, we can find that P(Z < -4) = 2.8665 x   \(10^{-5}\)  and P(Z > 4) = 2.8665 x  \(10^{-5}\) .

So, the total probability of a defect is -

P(Defect) = 2.8665 x  \(10^{-5}\)  + 2.8665 x  \(10^{-5}\)  = 5.7330 x  \(10^{-5}\)

Finally, we will find the number of defects for a 1,000-unit production run as follows -

The number of defects = 1000 * 5.7330 x  \(10^{-5}\)  = 5.73 (rounded to the nearest whole number).

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Answer/Step-by-step explanation:

✅The y-intercept of the graph of Monday's storm is the amount of precipitation recorded at the beginning of the tracking or when the tracking started.

✍️The y-intercept of the graph of Monday's storm is 0 mm, when time = 0 min.

✅The y-intercept of the graph of Thursday's storm also has the same meaning as that of Monday's storm.

✍️The y-intercept of the graph of Thursday's storm is 0 mm, when time = 0 min.

Answer:

-5

Step-by-step explanation:

4x0.5=2

2x0.5=1

2+1=3

3-8=-5

Answer:

93,600

Step-by-step explanation:

4x104= 416

416x225 = 93,600

Answer:

x = 3

Step-by-step explanation:

95 + 85 + 100 + 27x -1 = 360

280 + 27x - 1 = 360

279 + 27x = 360

27x = 81

x = 3

Double check your work:

95 + 85 + 100 + 27(3) - 1 = 360

95 + 85 + 100 + 81 -1 =360

360 = 360

Answer:

v= -4i-j

Step-by-step explanation:

we subtract the coordinates and we achieve the coordinates and we replace them in the equation of the straight line in the form y=ai+bj.

The rental cost in dollars per square foot is $11,00

Cost of renting 1.250 square feet = $13, 750 per month

Rental cost per square foot = Total renting cost / total renting area

= $13, 750 per month / 1.250 square feet

= $11,000

Hence, $11,000 is the rental cost in dollars per square foot.

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The probability that an MP3 player manufactured in Fort Meyers is defective is 0.37%.

To calculate the probability that an MP3 player is defective, we need to consider the manufacturing plants and their respective defect rates.

Given:

Plant at Memphis manufactures 50% of the MP3 players, and 1% of those manufactured at that plant are defective.

Plant at Fort Meyers manufactures 20% of the MP3 players, and 3% of those manufactured at that plant are defective.

No information is provided about the defect rate of the third plant.

To find the overall probability of an MP3 player being defective, we need to consider the probability of selecting a defective player from each plant and then weigh it by the probability of selecting a player from each plant.

Let's calculate the overall probability:

Probability of selecting a defective player from Memphis plant = 50% * 1% = 0.50% or 0.005 (since 50% is equivalent to 0.50 in decimal form)

Probability of selecting a defective player from Fort Meyers plant = 20% * 3% = 0.60% or 0.006 (since 20% is equivalent to 0.20 in decimal form)

To calculate the overall probability, we need to weigh these probabilities by the probability of selecting an MP3 player from each plant:

Probability of selecting from Memphis plant = 50% = 0.50 (decimal form)

Probability of selecting from Fort Meyers plant = 20% = 0.20 (decimal form)

Overall probability of selecting a defective MP3 player is given by:

Overall probability = (Probability from Memphis plant * Probability of selecting a defective player from Memphis) + (Probability from Fort Meyers plant * Probability of selecting a defective player from Fort Meyers)

Overall probability = (0.50 * 0.005) + (0.20 * 0.006) = 0.0025 + 0.0012 = 0.0037 or 0.37%

Therefore, the probability that an MP3 player, manufactured in Fort Meyers, is defective is 0.37%.

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