The Department of Motor Vehicles reports that the proportion of all vehicles registered in
California that are imports is 0.22.
ords
1. Is the number 0.22?
a population proportion.
a.
b. a sample proportion.
2. Which of the following use of notation is correct?
a. p=0.22
b. p=0.22

Answer: 18

Step-by-step explanation: 5+6+7=18

Answer:

18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

a + b + 7

a = 5

b = 6

Step 2: Evaluate

Yes, you could add to or subtract from both sides of 2=2.

What is a variable?

A characteristic that can be measured and given different values is known as a variable. Variables include things like height, age, income, province of birth, school grades, and type of housing. There are two main types of variables: categorical and numeric.

Equivalent equations are those that have the same sets of solutions. According to the equations' multiplication/division rule, all terms on both sides of an equation can be multiplied or divided by the same term, with the exception of zero, without changing the equation's solution set.

The equation is 2 = 2

Add x with both sides:

2 + x = 2 + x

The equation remains the same.

Add 3 with both sides:

2 + 3 = 2 + 3

5 = 5

The equation remains the same.

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The length of the ladder that is leaning on the building would be = 24ft. That is option B.

To determine the length of the ladder, the sine rule needs to be obeyed. That is

= a/sinA = b/sinB

Where;

a = 8.2 ft

A = 180-( 70+90

= 180- 160

= 20°

b = X

B = 90°

That is;

8.2/sin20° = b/sin90°

Make b the subject of formula;

b = 8.2×1/0.342020

= 23.9

= 24 ft

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Answer:

Eleanor has made an error in Step 1

She clearly intended to multiply both sides by 2, but forgot to multiply the \(-9x\) part of the RHS.

Step 1 should be:   \(x+18=8(2x-6)-18x\)

Correct solution

Given:   \(\dfrac12(x+18)=4(2x-6)-9x\)

Step 1:  \(x+18=8(2x-6)-18x\)

Step 2:  \(x+18=16x-48-18x\)

Step 3:  \(x+18=-48-2x\)

Step 4:  \(66=-3x\)

Step 5:  \(x=-22\)

\(\stackrel{mixed}{24\frac{1}{2}}\implies \cfrac{24\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{49}{2}} \\\\[-0.35em] ~\dotfill\)

\(300\cdot 24\frac{1}{2}\implies 300\cdot \cfrac{49}{2}\implies 7350\qquad \textit{now let's add the 1\% for the broker} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{1\% of 7350}}{\left( \cfrac{1}{100} \right)7350}\implies 73.5~\hfill \stackrel{7350~~ + ~~73.5}{\text{\LARGE 7423.5}}\)

The probability of selecting two cards that are not orange, is 0.483 and the probability of selecting two cards that are not red and green, is 0.393.

In the given question we have to find the probability.

From the question it is given that,

10 yellow, 6 green, 9 orange, and 5 red cards facedown.

Total number of cards = 10+6+9+5

Total number of cards = 30

Once a card selected, NOT replaced.

a.) Now finding the probability of selecting two cards that are not orange.

There are total orange cards = 9

The number of cards except orange card = 21

Then the probability of selecting one card except orange = 21/30

Then the probability of selecting other card except orange = 20/29

Then the probability of selecting two cards that are not orange is

P(O) = 21/30 * 20/29

P(O) = 420/870

P(O) = 0.483

Then the probability of selecting two cards that are not orange, is 0.483.

(b) Now finding the probability of selecting two cards that are neither red nor green.

The total number of cards except red and green card = 19

Then the probability of selecting one card except red and green card = 19/30

Then the probability of selecting other card except red and green card = 18/29

Then the probability of selecting two cards that are not red and green card is

P(RG) = 19/30 * 18/29

P(RG) = 342/870

P(RG) = 0.393

Then the probability of selecting two cards that are not red and green, is 0.393.

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Here is the full question.

Calculate the mean and the standard deviation of the sampling distribution of possible sample proportions for each combination of sample size (n) and population proportion (p).

a.) n = 64, p = 0.8

b.) n = 256, p = 0.8

Answer:

a.) Mean = 0.8

   Standard deviation = 0.05

b.)  Mean = 0.8

     Standard deviation = 0.025

Step-by-step explanation:

From the given information:

a.)

The population parameter (p) is the mean of the sampling distribution for the sample proportion.

Thus; The  Mean = 0.8

The standard deviation of the  distribution can be calculated as follows:

Let's first represent the standard deviation with Sd(\(\hat p\))

Then:

\(sd(\hat p) = \sqrt{\dfrac{p*(1-p)}{n} }\)

where;

p = 0.8

n = 64

Then:

\(sd(\hat p) = \sqrt{\dfrac{0.8*(1-0.8)}{64} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.8*(0.2)}{64} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.16}{64} }\)

\(sd(\hat p) = \sqrt{0.0025}\)

\(\mathbf{sd(\hat p) =0.05}\)

b.)

The population parameter (p) is the mean of the sampling distribution for the sample proportion.

Thus; The  Mean = 0.8

The standard deviation of the  distribution can be calculated as follows:

Let's first represent the standard deviation with Sd(\(\hat p\))

Then:

\(sd(\hat p) = \sqrt{\dfrac{p*(1-p)}{n} }\)

where;

p = 0.8

n = 256

Then:

\(sd(\hat p) = \sqrt{\dfrac{0.8*(1-0.8)}{256} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.8*(0.2)}{256} }\)

\(sd(\hat p) = \sqrt{\dfrac{0.16}{256} }\)

\(sd(\hat p) = \sqrt{6.25 \times 10^{-4}}\)

\(\mathbf{sd(\hat p) =0.025}\)

Answer:

Step-by-step explanation:

distribute the 3

you get 3x+24=15

subtract 24 from both sides

you get 3x=-9

divide 3 from both sides

you get x=-3

Answer:

\(w \leq 1.9\)

Step-by-step explanation:

The picture itself measures 6" by 8". Therefore, the area is 6 * 8 = 48 square inches.

All of the pieces of wood have the same width, and we know that two of them will be 6 inches long and two will be 8 inches long.

Therefore, the combined area of the pieces of wood will be 2 * 6w and 2 * 8w. This gives us 12w + 16w.

Now we can set up an inequality:

48 (area of picture) + 12w + 16w <= 100 (maximum area).

Simplify the left side of the equation to give us this:

\(48+28w\leq 100.\)

We can move the 48 over to the other side to get \(28w \leq 100 - 48\), which simplifies to \(28w \leq 56\). Now, you just have to divide both sides by 28 to get \(w\leq 1.857\).

Rounding to the nearest tenth of an inch gives us 1.9 as the maximum width of the pieces of wood.

Answer:

total cost =$ 16 +$ 4.56=$ 20.56

change received = $25 - $ 20.56 = $4.44 .

Step-by-step explanation:

therefore your answer is 4,44 hope this helps

The graphs of the functions f(x) = x² + 2x + 4 and g(x) = -x² - 2x + 4 are attached.

Parabolic graphs are a type of graph that represents quadratic functions.

A quadratic function is a polynomial function of degree 2, meaning it contains a squared term (x²) as its highest power of the variable.

The sign of the coefficient of the leading coefficient in the quadratic function plays the role of where the curve faces.

The graphs are attached

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The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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Answer:

196515

Step-by-step explanation:

Answer:

c=200+0.4Yd find determine equlibirum level investment is =400

Answer:im pretty sure its D

Step-by-step explanation:it goes through the origin

Answer:

1. The minimum head breadth that will fit the clientele is of 3.95-in.

2. The maximum head breadth that will fit the clientele is of 9.25-in.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 6.6-in and a standard deviation of 1.1-in.

This means that \(\mu = 6.6, \sigma = 1.1\)

1. What is the minimum head breadth that will fit the clientele?

The 0.8th percentile, which is X when Z has a p-value of 0.008, so X when Z = -2.41.

\(Z = \frac{X - \mu}{\sigma}\)

\(-2.41 = \frac{X - 6.6}{1.1}\)

\(X - 6.6 = -2.41*1.1\)

\(X = 3.95\)

The minimum head breadth that will fit the clientele is of 3.95-in.

2. What is the maximum head breadth that will fit the clientele?

The 100 - 0.8 = 99.2nd percentile, which is X when Z has a p-value of 0.992, so X when Z = 2.41.

\(Z = \frac{X - \mu}{\sigma}\)

\(2.41 = \frac{X - 6.6}{1.1}\)

\(X - 6.6 = 2.41*1.1\)

\(X = 9.25\)

The maximum head breadth that will fit the clientele is of 9.25-in.

Answer:

85 square inches.

Step-by-step explanation:

The area of a triangle can be found by the formula \(1/2bh\), assuming b is the base and h is the height.

If b is 17 inches and h is 10 inches:

\(1/2(17)(10)\)

\(1/2(170)\)

\(A = 85\)

Therefore, the area is 85 square inches.

Step-by-step explanation:

(-1)^2+(5×4)-4

=1+20-4

=17

Answer:

(-2+1)^2+5(12/3)-4

First opening the brackets

(-1)^2+60/3-4

1+60/3-4

1+20-4

21-4

17 is the answer

Step-by-step explanation:

I hope this will help you :)

Answer:

See the attached image.

Step-by-step explanation:

Here's how it all breaks down:

We start with 3 inches of snow-so our graph starts at 3 on the y-axis. Then we have a constant rate of 1 inch per hour until 2 inches fell-so 2 hours at an increase of 1 inch/hour. Then we have a 6 hour break, so a horizontal line for 6 hours. Finally, two hours with an increase rate of 2 inches per hour.

Answer:

Step-by-step explanation:

At least two sides have the same length.

At least two angles have the same measure.

The base angles (angles opposite the equal sides) have the same measure.

The altitude (perpendicular segment from the base to the vertex) bisects the base and the corresponding base angle.

The median (segment connecting the vertex to the midpoint of the base) is also an altitude, angle bisector, and perpendicular bisector of the base.

Based on these characteristics, the properties that belong to all isosceles triangles are:

At least two sides have the same length.

At least two angles have the same measure.

The base angles have the same measure.

Therefore, the correct options are:

At least two sides have the same length.

At least two angles have the same measure.

The base angles have the same measure.

Answer:

82

Step-by-step explanation:

\(4^3 + \frac{96}{8} \cdot 5 - 42 = 64 + 12\cdot 5 - 42 = 64 + 60 - 42 = 82\)

Answer:

82

Step-by-step explanation:

PEMDAS

\(4^{3}\) + [(96 ÷ 8) x 5] - 42

\(4^{3}\) + [(12) x 5] - 42

4^3 + (60) - 42

64 + 60 - 42

124 - 42

82

hope this helps :)

Answer:

a. \(\frac{3}{2}\) b. 48

Step-by-step explanation:

(a) The value of the expression when x = -2 is 1.5.

(b) The value of the expression when x = 3 is 48.

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.

Given that the expression is 6(2)ˣ.

To evaluate the expression 6(2)ˣ for different values of x, we simply substitute the value of x into the expression and simplify.

(a) When x = -2, we have:

6(2)⁻² = 6(1/4) = 1.5

So the value of the expression when x = -2 is 1.5.

(b) When x = 3, we have:

6(2)³ = 6(8) = 48

So the value of the expression when x = 3 is 48.

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Step-by-step explanation:

well if you ment

\(5 \sqrt{ \frac{x}{5} } \)

then the inverse is:

\(y = 5 \sqrt{ \frac{x}{5} } = = > {y}^{2} = 25( \frac{x}{5}) = = = > \\ {y}^{2} = 5x = = = > \frac{{y}^{2} }{5} = x = = = > \\{f}^{ - 1} (x) = \frac{ {x}^{2} }{5} \)

and if you ment

\( 5 \frac{ \sqrt{x} }{5 } \)

then the inverse is:

\(y = 5 \frac{ \sqrt{x} }{5} = = = > y = \sqrt{x} = = = = > \\ {y}^{2} = x = = = > \\ {f}^{ - 1} (x) = {x}^{2} \)

Answer:

A

Step-by-step explanation:

The sum of the two angles is 180 degrees

x + 138 = 180

x = 42 degrees

Answer:

Step-by-step explanation:

23/40 = 0.575

Answer:The area would be 108.

Step-by-step explanation:

12 x 9 = 108

The Venn diagram for (D ⋃ E) ⋃ F will be the ovarlapped region of D,E and F.

To represent the sets D, E, and F in the Venn diagram, we first construct three overlapping circles. Then, beginning with the innermost operation and moving outward, we shade the regions corresponding to the set operations in the expression.

We shade the area where the circles for D and E overlap because the equation (D ⋃ E)  denotes the union of the sets D and E. All the elements in D, E, or both are represented by this area.

The union of (D ⋃ E) with F is the next step. This indicates that we darken the area where the circle for F crosses over into the area that we shaded earlier. All the components found in sets D, E, F, or any combination of these sets are represented in this region.

The final Venn diagram should include three overlapping circles, with (D ⋃ E) ⋃ F shaded in the area where all three circles overlap.

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Answer:

Discount=$99.75

The Sale Price=$185.25

Explanation:

Original Price of the tent =$285

Percentage Discount =35%

Therefore:

Discount = 35% of 285

=0.35 x 285

Discount=$99.75

The Sale Price = Original Price - Discount

=285 - 99.75

The Sale Price=$185.25

Answer:

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.

Step-by-step explanation:

For each passenger, there are only two outcomes possible. Either they show up for the flight, or they do not show up. This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which  is the number of different combinations of x objects from a set of n elements, given by the following formula.

And  is the probability of X happening.

A probability is said to be unusually low if it is lower than 5%.

For this problem, we have that:

There are 200 reservations, so .

A passenger consists in a passenger not showing up. There is a .0995 probability that a passenger with a reservation will not show up for the flight. So .

Find the probability that when 200 reservations are accepted for United Flight 15, there are more passengers showing up than there are seats available.

X is the number of passengers that do not show up. It needs to be at least 18 for the flight not being overbooked. So we want to find , with . We can use a binomial probability calculator, and we find that:

There is a 29.27% probability that the flight is overbooked. This is not an unusually low probability. So it does seem too high so that changes must be made to make it lower.