I’ll give brainliest if u give me answer and explanation (picture attached)

In this problem, a researcher wants to estimate the number of households with two cars with 95% confidence and a margin of error of 5%. The researcher also knows that a previous study showed that 22% of households had two cars. The possible answers are 4, 339, and 186.

To answer this question, we need to use the formula for sample size calculation: n = (Z^2 * p * q) / E^2, where n is the sample size, Z is the Z-score for the desired level of confidence (in this case, 1.96 for 95% confidence), p is the estimated proportion of the population with the characteristic of interest (in this case, 0.22), q is the complement of p (q = 1 - p), and E is the desired margin of error (in this case, 0.05). Plugging in these values gives us n = (1.96^2 * 0.22 * 0.78) / 0.05^2, which simplifies to n = 186.

Therefore, the correct answer is (c) 186. This means that the researcher needs to survey 186 households to estimate the number of households with two cars with 95% confidence and a margin of error of 5%.

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No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.

To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.

The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).

The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).

To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:

(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4

Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.

The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.

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After dividing the two fractions, the answer in simplest form is

33/25

Answer:

it represents a polynomial

Answer: 60 oranges

Step-by-step explanation:

Given information

Weight = 75 g / orange

Total = 4.5 kg

Given formula

Total = Number of oranges × Average weight

Convert Kilogram unit to Gram

1 kg = 1000 g

4.5 kg = 4.5 × 1000 = 4500 g

Substitute values into the given formula

Total = Number of oranges × Average weight

Number of oranges = Total / Average weight

Number of oranges = 4500 / 75

Simplify by division

\(\Large\boxed{Number~of~oranges~=~60}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

60 oranges

Step-by-step explanation:

    The average weight of an orange ⇒ 75g

     Total weight of oranges ⇒ 4.5 kg

      Number of oranges                       Weight ( in grams)

              1                                                   75 g

              x                                                   (4.5 × 1000) g

        1  ⇒  75

        x  ⇒ 4500

      Use cross multiplication and find the value of x.

         75x = 4500 × 1

         75x = 4500

     Divide both sides by 75.

           x = 60

Answer:

Step-by-step explanation:

Step one:

given data

dimension of the box

lengh= 5 in

width= 2 in

height =4 in

Required

the volume of the box

the expression for the volume is

V=L*W*H

V=5*2*4

V=40 in^3

Hence the volume of sand the box can take is 40in^3

Answer

Slope-intercept form: y=5x-2

Standard form: 5x-y=2

Explanation

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. You can just plug in the numbers to go y=5x-2.

Standard form is Ax+By=C. This form is usually used to find the x-intercept and y=intercept. You can rearrange the numbers to get standard form; 5x-y=2.

To convert percent to a number divide it by 100

Then to convert 838% to a number divide it by 100

To simplify divide up and down by 2

The improper fraction is 419/50 in the simplest form

Answer:

James still owes the 27 bucks

Answer:

27$

Step-by-step explanation:

65-38

Answer:

Diagram a : y = 7, x = 8

Diagram b : y = 16, x = 6

Diagram c : y = 7, x = 5

Step-by-step explanation:

Diagram a :

calculate y:                              calculate x:

4y - 6 = 22                                  2x + 3 = 19

      +6     +6                                       -3      -3

4y = 28                                          2x = 16

/4      /4                                           /2      /2

y = 7                                                x = 8

Diagram b :

calculate y :                               calculate x :

3 (y-4) = 36                                   5 (x +2 ) = 40

3y - 12 = 36                                  5x +10 = 40

     +12    +12                                       -10    -10

3y = 48                                          5x = 30

/3      /3                                           /5       /5

y = 16                                             x = 6

Diagram c :

calculate y:                                  calculate x :

2y + 9 = 4y - 5                              4x + 2 = 3x + 7

-2y          -2y                                 -3x          -3x

9 = 2y - 5                                       x + 2 = 7

+5         +5                                           -2    -2

14 = 2y                                            x = 5

/2     /2

y = 7

Answer: 5

because w(a) = a + 4

=> w(1) = 1+ 4 = 5

Step-by-step explanation:

Answer: w(a)=5

Step-by-step explanation:

w(a)= a + 4

sub 1 for a.

w(1)= 1 + 4

w(1)= 5

\(\qquad \qquad \textit{sum of an infinite geometric sequence} \\\\ \displaystyle S=\sum\limits_{i=0}^{\infty}\ a_1\cdot r^i\implies S=\cfrac{a_1}{1-r}\quad \begin{cases} a_1=\stackrel{\textit{first term}}{\frac{1}{8}}\\ r=\stackrel{\textit{common ratio}}{\frac{2}{3}}\\ \qquad -1 < r < 1 \end{cases}\)

\(\displaystyle\sum_{k=0}^{\infty} ~~ \underset{a_1}{\frac{1}{8}}\underset{r}{\left( \frac{2}{3} \right)}^k\implies S=\cfrac{ ~~ \frac{1}{8} ~~ }{1-\frac{2}{3}}\implies S=\cfrac{ ~~ \frac{1}{8} ~~ }{\frac{1}{3}}\implies S=\cfrac{3}{8}\)

There are approximately 14,138 pounds of water in the tank.

To determine the number of pounds of water in the tank, we need to calculate the volume of the water and then convert that volume to weight.

1. First, we need to find the radius of the tank. Since the diameter is 8 feet, the radius is half of that, which is 4 feet.

2. Next, we need to convert the water depth to feet. The water is filled to 4 feet and 6 inches, which is equivalent to 4.5 feet (since 6 inches is half of a foot).

3. Now we can calculate the volume of the water using the formula for the volume of a cylinder: V = πr²h, where V is the volume, r is the radius, and h is the height. In this case, V = π(4²)(4.5) = 72π cubic feet (approximately 226.19 cubic feet).

4. Finally, we need to convert the volume to weight. Since there are 7.48 gallons in a cubic foot and water weighs approximately 8.34 pounds per gallon, we have:

226.19 cubic feet x 7.48 gallons/cubic foot x 8.34 pounds/gallon ≈ 14,138 pounds

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Answer:

angle one is 40 degrees

Step-by-step explanation:

I'm pretty sure that the measurements of the line should be 180 and 180-140 = 40.

Answer:

A

Step-by-step explanation:

A

The 87% confidence interval for the size of the candles is (3.503 ounces, 3.937 ounces).

To calculate the 87% confidence interval, follow these steps:

1. Identify the sample size (n=15), sample mean (3.72 ounces), and standard deviation (0.963 ounces).

2. Determine the critical value (z) for an 87% confidence interval using a standard normal distribution table or calculator. For an 87% CI, the critical value is approximately 1.534.

3. Calculate the standard error (SE) using the formula SE = standard deviation / sqrt(n). In this case, SE = 0.963 / sqrt(15) ≈ 0.248.

4. Multiply the critical value (z) by the standard error (SE) to find the margin of error (MOE): MOE = 1.534 * 0.248 ≈ 0.380.

5. Find the lower limit of the confidence interval by subtracting the MOE from the sample mean: 3.72 - 0.380 = 3.503 ounces.

6. Find the upper limit of the confidence interval by adding the MOE to the sample mean: 3.72 + 0.380 = 3.937 ounces.

So, the 87% confidence interval for the size of the candles is (3.503 ounces, 3.937 ounces).

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The equation which is equivalent to the given equation; 2/3 a - 7 = 1/3 as required to be determined is; 2a - 21 = 1.

It follows from the task content that the correct form of the given equation is; 2/3 a - 7 = 1/3.

Therefore, in a bid to find an equivalent equation; one must multiply both sides of the equation by 3 so that we have;

2a - 21 = 1.

On this note, it can be inferred that the equation which is equivalent to the given equation is; 2a - 21 = 1

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Answer:

Slope = -⁵/3

Step-by-step explanation:

See the attachment below. In the attachment, the green line represents the the rise while the red line represents the run of the line.

The slope = rise/run

Rise = 5

Run = 3

Slope = -(5/3)

Slope = -⁵/3 (the slope would be negative because the line slants downwards from your left to the right)

The population of an island in 1950 was 2 million. The population grew exponentially for 63 years and reached 6.5 million in 2013. The carrying capacity of the island is estimated to be 10 million.

If the population growth rate in the future is similar to the last 50 years, what will the population be in 2050

The population is given to be increasing exponentially, which means it will follow the equation:

\($P(t) = P_0 e^{rt}$\)Here,\($P(t)$\) is the population after a period of time \($t$, $P_0$\) is the initial population, $r$ is the annual growth rate (which we are given is the same as the growth rate of the last 50 years), and \($t$\) is the time.

We can find the annual growth rate $r$ using the formula:\($$r = \frac{\ln{\frac{P(t)}{P_0}}}{t}$$\)
We know\($P_0 = 2$ million, $P(t) = 6.5$ million, and $t = 63$\) years. Substituting these values, we get:

\($r = \frac{\ln{\frac{6.5}{2}}}{63} = 0.032$\) (rounded to 3 decimal places)

Since the carrying capacity of the island is 10 million, we know that the population will not exceed this limit.

Therefore, we can use the logistic model to find the population growth over time. The logistic growth model is:

\($$\frac{dP}{dt} = r P \left(1 - \frac{P}{K}\right)$$\)

where $K$ is the carrying capacity of the environment. This can be solved to give:\($P(t) = \frac{K}{1 + A e^{-rt}}$\)

where \($A = \frac{K-P_0}{P_0}$. We know $K = 10$ million, $P_0 = 2$ million, and $r = 0.032$\). Substituting these values, we get:\($A = \frac{10-2}{2} = 4$\)

Therefore, the equation for the population of the island is:\($P(t) = \frac{10}{1 + 4 e^{-0.032t}}$\)

To find the population in 2050, we substitute\($t = 100$\) (since 63 years have already passed and we want to find the population in 2050, which is 100 years after 1950):

\($P(100) = \frac{10}{1 + 4 e^{-0.032 \times 100}} \approx \boxed{8.76}$ million\)
Therefore, the estimated population of the island in 2050, assuming constant carrying capacity and consumption per capita, is approximately 8.76 million.

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Answer: 1 in 2 chance

Step-by-step explanation:

The number that both Julie and Liam wrote down is 8/17.

Let's start by using algebra to solve the problem. Let x be the number that both Julie and Liam wrote down.

Julie's answer: 5x + 4

Liam's answer: 10 - x

We know that Julie's answer is two-thirds of Liam's answer, so:

5x + 4 = (2/3)(10 - x)

Multiplying both sides by 3, we get:

15x + 12 = 20 - 2x

Adding 2x to both sides, we get:

17x + 12 = 20

Subtracting 12 from both sides, we get:

17x = 8

Dividing both sides by 17, we get:

x = 8/17

Therefore, the number that both Julie and Liam wrote down is 8/17.

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Answer:

1.C

2.A

Step-by-step explanation:

Answer:

1.C

2.A

Step-by-step explanation:

Answer:

The absolute value is the distance between a number and zero. The distance between −13 - 13 and 0 0 is 13 13 . −1⋅13 - 1 ⋅ 13. Multiply −1 - 1 by 13 13 .

Step-by-step explanation:

Happy to Help   13

Answer: 18

Step-by-step explanation:

12 divided by 2 = 6

6 x 3 = 18

Answer:

the answer is 18

Step-by-step explanation:

this is because 12 divided by 2 = 6

6 x 3 = 18

Answer:

x^4n^4

Step-by-step explanation:

Answer:

\(n^{4} x^{4}\)  

I really hope this helps!

Suppose we want to compute x≡ab(mod pq) for primes p and q, utilizing the Chinese Remainder Theorem and Fermat's Little Theorem. True statements are:

According to the Chinese remainder theorem, if one knows the remainders of the Euclidean division of an integer n by multiple numbers, one may uniquely calculate the remainder of the division of n by the product of these integers, provided that the divisors are pairwise coprime (no two divisors share a common factor other than 1).

Fermat's little theorem is identical to the assertion that ap 1 1 is an integer multiple of p if an is not divisible by p, that is, if an is coprime to p. If a = 2 and p = 7, for example, 26 = 64, then 64 1 = 63 = 7 9 is therefore a multiple of 7.

x≡ab(mod pq)

Thus, (x1 - x2) divided by m1

Since, m1, m2,........mk are relatively prime

This follows system of congruence in CRT at most one solution.

Fermat's Little Theorem allows us to conclude that a^p−1 ≡1(modp) for any integer a and any prime p,

assume 0≤a≤p-1. This is result of modular arithmetic. So, results hols trivially.

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Answer:

about 7.2 I think

Step-by-step explanation:

if his pay went up all the way to 770 it would be going up either 7.8 or 7.2

Answer:

answer A

Step-by-step explanation:

nnnnmmmkkkkkkookl