can anyone solve this? will give brainliest if correct.

Answer:

0 ≤ t ≤ 18

Step-by-step explanation:

The cost of renting the boat without any discount is $8 per hour. However, Leila has a discount coupon for $3 off, so the effective cost per hour would be $8 - $3 = $5.

Let's assume Leila rents the boat for t hours. The total cost of renting the boat for t hours would be $5 multiplied by t, which is 5t.

According to the problem, Leila wants to spend at most $93. Therefore, we can set up the following inequality:

5t ≤ 93

This inequality represents the condition that the total cost of renting the boat (5t) should be less than or equal to $93.

Simplifying the inequality:

5t ≤ 93

Dividing both sides by 5 (since the coefficient of t is 5):

t ≤ 93/5

t ≤ 18.6

Since we cannot rent the boat for a fraction of an hour, we can round down the decimal value to the nearest whole number:

t ≤ 18

0 ≤ t ≤ 18

Answer: 0≤t≤12

Step-by-step explanation:

(I’m not sure if it’s 5 dollars off per hour, or total, but here’s what I did!)

If Leila has a $3 coupon, than she can spend +$3 because when you get a coupon, you can spend more, so 93+3 is equal to 96, now we just divide by 8 (because a boat costs $8 per hour) and we get 96/8=12.

Then, in inequality form it’s t≤12, because she can rent the boat for at most 12 hours, you could also do 0≤t≤12, because you can’t rent it for a negative amount of time, but either works.

Answer:

53 + 53x

Step-by-step explanation:

Multiply each term in the parentheses by 53 and you get 53 + 53x

I hope that helps!!

The ratio of corresponding sides for the given similar triangles is 2/5.

In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:

a. 10

This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.

b. 4/5

This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.

To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.

Dividing 4 and 5 by 1, we get:

4 ÷ 1 = 4

5 ÷ 1 = 5

Therefore, the simplified ratio is 4/5.

c. 10/85

This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.

Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.

For more such questions on triangles, click on:

https://brainly.com/question/17335144

#SPJ8

The number of wins is 68 ad losses is 26.

Let the number of losses = l

Therefore, the number of wins will be: = (2 × l) + 16 = 2l + 16

Total games = 94

Therefore we will add the equation

l + 16 + 2l = 94

3l + 16 = 94

3l = 94 - 16

3l = 78

Divide

l = 78/3

l = 26

Losses = 26

Number if wins = 2l + 16 = 2(26) + 16 = 52 + 16 = 68

Learn more about equations on:

brainly.com/question/13763238

#SPJ1

Answer:

9c+5.9d−7.9

Step-by-step explanation:

hope this helps!

The correct answer is 26.5ft

The distance between the stick and Lisa is C) 45.6 ft.

The sine rule for triangle ABC is a/sinA = b/sinB = c/sinC.

Given, Lisa and Molly are standing on a bridge and see a tree sticking out of the water.

m∠M = 103°, m∠L = 54°, and the side opposite to ∠L is l which is 22 feet and m is the side opposite to ∠M.

∴ 22/sin54° = m/sin103°.

22/0.8 = m/0.97.

m = 26.67 feet.

learn more about the sine rule of triangles here :

https://brainly.com/question/26952873

#SPJ5

Answer:

x=-2

Step-by-step explanation:

Answer:

1/3x - 3.3 = -4

         +3.3   +3.3

                  1/3x = -0.7

                    /1/3     /1/3

         x = -2.1

check: 1/3(-2.1) - 3.3

                    -0.7 - 3.3

                       -4 = -4

correct!

Step-by-step explanation:

Answer

Option C is correct.

a₁, a₂ and a₃ = 2, 6 and 22 respectively.

Explanation

We have been told that

a₀ = 1

And any term after that is given as

So,

a₁ = 4a₀ - 2

a₁ = 4 (1) - 2

a₁ = 4 - 2

a₁ = 2

a₂ = 4a₁ - 2

a₂ = 4 (2) - 2

a₂ = 8 - 2

a₂ = 6

a₃ = 4a₂ - 2

a₃ = 4 (6) - 2

a₃ = 24 - 2

a₃ = 22

Hope this Helps!!!

The 80% confidence interval estimate of the population mean rating for DFW airport can be calculated using the formula:

Margin of error = (Z-score)*(standard deviation/sqrt(sample size))

where the Z-score for 80% confidence level is 1.28.

So, the margin of error = (1.28)*(0.55/sqrt(25)) = 0.28.

Therefore, the confidence interval estimate can be calculated by subtracting and adding the margin of error to the sample mean:

Confidence interval = sample mean ± margin of error
Confidence interval = 3.84 ± 0.28
Confidence interval = (3.56, 4.12)

The question requires us to find an 80% confidence interval estimate for the population mean rating of DFW airport using a sample of 25 travelers. The formula for the margin of error is used to calculate the range of values within which the population mean is likely to fall. The Z-score for the 80% confidence level is used in the formula. We then use this margin of error to calculate the confidence interval estimate by adding and subtracting it from the sample mean. This gives us a range of values within which we can be confident that the population mean rating falls.

The 80% confidence interval estimate for the population mean rating of DFW airport is (3.56, 4.12). This means that we can be 80% confident that the population mean rating falls within this range of values. The sample mean of 3.84 is the best estimate of the population mean rating, and the margin of error of 0.28 indicates the level of uncertainty in this estimate.

To know more about mean visit:

https://brainly.com/question/31101410

#SPJ11

At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).


To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.

Learn more about Compound interest here: brainly.com/question/13155407
#SPJ11

By applying the Divergence Theorem, we can calculate the integrals over S₁ and S₂ separately, which will lead us to the final result that is

-∫[0, 2π] ∫[0, 1] (rsinθ)³ rdrdθ + ∫[0, π/2] ∫[0, 2π] ∫[0, 1] (rcos²φsinφcos²θ + r³sin⁴φ + r²sin²φcosθcosφ + rsin²φsinθcosφ) drdθdφ.

To evaluate the surface integral using the Divergence Theorem, we first need to calculate the divergence of the vector field F.

The divergence of F is given by:

div(F) = ∂Fx/∂x + ∂Fy/∂y + ∂Fz/∂z

Let's compute the partial derivatives of each component of F:

∂Fx/∂x = ∂(zx)/∂x = z

∂Fy/∂y = ∂(jy^3 + tan^(-1)(z))/∂y = 3jy^2

∂Fz/∂z = ∂(xz + y)/∂z = x

Now, we can compute the divergence of F:

div(F) = z + 3jy^2 + x

According to the Divergence Theorem, the surface integral of F over a closed surface S is equal to the triple integral of the divergence of F over the volume V enclosed by the surface:

∬S F · dS = ∭V div(F) dV

However, S is not a closed surface in this case. We can divide S into two surfaces: S₁ and S₂.

S₁ is the disk defined by x² + y² ≤ 1, and S₂ is the surface obtained by subtracting S₁ from S.

First, we need to calculate the integral over S₁. The normal vector for S₁ points downward, so we need to take the negative of the surface integral over S₁.

∬S₁ F · dS = -∬S₁ F · dS₁

To calculate this integral, we parameterize the surface S₁ using polar coordinates:

x = rcosθ

y = rsinθ

z = 0 (since S₁ lies in the xy-plane)

The unit normal vector n₁ for S₁ is given by:

n₁ = -k (negative z-direction)

The surface element dS₁ is obtained by taking the cross product of the partial derivatives with respect to the parameters:

dS₁ = (∂(y, z)/∂(r, θ)) drdθ = (rcosθ, rsinθ, 0) drdθ

Now, we can calculate the surface integral over S₁:

=∬S₁ F · dS₁ = -∬S₁ (zxi + (jy³ + tan⁻¹(z))j + (xz + y)k) · (rcosθ, rsinθ, 0) drdθ

= -∬S₁ (0 + (j(rsinθ)³ + tan⁻¹(0))j + (rcosθ⋅0 + rsinθ)) drdθ

= -∬S₁ (0 + j(rsinθ)³ + 0) drdθ

= -∫[0, 2π] ∫[0, 1] (rsinθ)³ rdrdθ

Now, let's calculate the integral over S₂, the remaining part of the surface.

S₂ is the top half of the sphere x² + y² + z² = 1 minus the disk S₁. The normal vector for S₂ points outward, so we consider the surface integral over S₂ without any negative sign.

∬S₂ F · dS = ∬S₂ F · dS₂

To calculate this integral, we parameterize the surface S₂ using spherical coordinates:

x = rsinφcosθ

y = rsinφsinθ

z = rcosφ

The unit normal vector n₂ for

S₂ is given by:

n₂ = (rsinφcosθ)i + (rsinφsinθ)j + (rcosφ)k

The surface element dS₂ is obtained by taking the cross product of the partial derivatives with respect to the parameters:

dS₂ = (∂(x, y, z)/∂(r, θ, φ)) drdθdφ = (sinφcosθ, sinφsinθ, cosφ) drdθdφ

Now, we can calculate the surface integral over S₂:

=∬S₂ F · dS₂ = ∬S₂ (zxi + (jy³ + tan⁻¹(z))j + (xz + y)k) · (sinφcosθ, sinφsinθ, cosφ) drdθdφ

= ∬S₂ (rcosφsinφcosθi + r³sin³φj + (r²sinφcosθ + rsinφsinθ)k) · (sinφcosθ, sinφsinθ, cosφ) drdθdφ

= ∬S₂ (rcos²φsinφcos²θ + r³sin⁴φ + (r²sin²φcosθ + rsin²φsinθ)cosφ) drdθdφ

= ∬S₂ (rcos²φsinφcos²θ + r³sin⁴φ + r²sin²φcosθcosφ + rsin²φsinθcosφ) drdθdφ

= ∫[0, π/2] ∫[0, 2π] ∫[0, 1] (rcos²φsinφcos²θ + r³sin⁴φ + r²sin²φcosθcosφ + rsin²φsinθcosφ) drdθdφ

Now, we can compute the triple integral of the divergence of F over the volume V enclosed by S:

=∭V div(F) dV = ∬S₁ F · dS₁ + ∬S₂ F · dS₂

= -∫[0, 2π] ∫[0, 1] (rsinθ)³ rdrdθ + ∫[0, π/2] ∫[0, 2π] ∫[0, 1] (rcos²φsinφcos²θ + r³sin⁴φ + r²sin²φcosθcosφ + rsin²φsinθcosφ) drdθdφ

To learn more about Divergence Theorem, click here:

brainly.com/question/31272239

#SPJ11

Answer:

Step-by-step explanation:

There are 3 blue cubes, 8 ref cubes and 4 yellow cubes, which gives a total of 15 cubes.

Now, if you pick 360 times from the bag, the chances to get a blue cube is 100%, because there's only 15 cubes in total. For trial number 16, you wouldn't have any more cubes.

Therefore, after 360 attempts, there's a 100% probability of picking a blue cube.

Answer:

(4x - 3)(4x + 3)

Step-by-step explanation:

16x² - 9 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

16x² - 9

= (4x)² - 3²

= (4x - 3)(4x + 3)

Answer:

C is right

Step-by-step explanation:

:))

Answer: Point Form: (4,2)

Equation Form: x=4,y=2

Step-by-step explanation:

The correct equation is: 2(x+4) = 18

An equation is a mathematical statement that asserts that two expressions are equal. An equation consists of two sides, the left-hand side and the right-hand side, separated by an equal sign (=).

For example, 2x + 5 = 11 is an equation, where the left-hand side is 2x + 5 and the right-hand side is 11. This equation asserts that the expression 2x + 5 is equal to 11, and the value of x can be determined by solving for x.

Equations can be simple or complex, and they can involve one or more variables. They can also be linear or nonlinear, depending on the nature of the expressions involved.

Solving an equation involves finding the values of the variables that make the equation true. This may involve applying algebraic operations and simplification techniques to isolate the variable on one side of the equation.

Equations are used in many areas of mathematics, science, engineering, and economics, and they provide a powerful tool for modeling and analyzing real-world situations. They are also used extensively in computer programming and cryptography, where they play a critical role in the development of algorithms and data encryption methods.

We are looking for an equation that represents 18 being balanced with 2 groups of x+4. The phrase "2 groups of x+4" means we need to multiply (x+4) by 2. So we have:

2(x+4) = 2x + 8 (distributing the 2)

Now we want this expression to equal 18, so we set it equal to 18 and solve for x:

2x + 8 = 18

2x = 10

x = 5

Therefore, the equation that shows 18 balanced with 2 groups of x+4 is:

2(x+4) = 18

or

2(x+4) = 2(5+4) = 18

To know more about expression visit:

https://brainly.com/question/24242989

#SPJ1

A. The value is 2.571, which corresponds to a confidence coefficient of 97.72%.

The value is 2.807, which corresponds to a confidence coefficient of 99.19%.

B. We can say with 90% confidence that the true population mean lies within ±1.64 units of the sample mean.

We can say with 95% confidence that the true population mean lies within ±2.46 units of the sample mean.

C. The confidence coefficient of 95.51%.

A. To find the confidence coefficient for a given sample size and confidence level, we use a t-distribution table.

If n=6 and CL=95%, we can use the t-distribution table to find the value of t with 5 degrees of freedom and a probability of 0.025 (since it is a two-tailed test).

Similarly, if n=24 and CL=99%, we can use the t-distribution table to find the value of t with 23 degrees of freedom and a probability of 0.005 (since it is a two-tailed test).

B. To find the margin of error, E, given a set of data with sample size, n, and standard deviation, s, at a given confidence level, CL, we use the formula:

E = t(CL/2, n-1) x s/√n

where t(CL/2, n-1) is the t-value for the given confidence level and degrees of freedom (n-1).

If n=6, s=2, and CL=90%, we can use the t-distribution to find the value of t with 5 degrees of freedom and a probability of 0.05 (since it is a two-tailed test). This value is 2.015, so:

E = 2.015 x 2/√6 = 1.64

Similarly, if n=9, s=2.8, and CL=95%, we can use the t-distribution table to find the value of t with 8 degrees of freedom and a probability of 0.025 (since it is a two-tailed test). This value is 2.306, so:

E = 2.306 x 2.8/√9 = 2.46

C. To find the confidence coefficient using the t-distribution table, we first need to know the degrees of freedom and the probability of the test.

If n=12 and CL=95%, the degrees of freedom are 11 (n-1). To find the probability of the test, we divide the confidence level by 2 (since it is a two-tailed test) and convert it to a probability value.

Thus, for CL=95%, the probability of the test is 0.025. Using the t-distribution table with 11 degrees of freedom and a probability of 0.025, we find the t-value to be 2.201.

To know more about confidence coefficient here

https://brainly.com/question/16984104

#SPJ4

Answer:

0.06 in standard form is 6.0 × 10-2

Step-by-step explanation:

Answer:If p and q vary inversely, it means that their product remains constant. So we can set up the equation:

p * q = k

where k is the constant of variation.

Given that p is 29 when q is 25, we can substitute these values into the equation:

29 * 25 = k

725 = k

Now, let's determine the value of q when p is equal to 5:

p * q = k

5 * q = 725

Dividing both sides of the equation by 5:

q = 725 / 5

q = 145

Therefore, when p is equal to 5, q is equal to 145.

Step-by-step explanation:

Answer:p1q1=p2q2

q1=25,p1=29;

p2=5,q2=?;

q2=p1q1/p2;

q2=25*29/5;

q2=29*5;

q2=145.

Step-by-step explanation:

Answer:

B. 2f

Step-by-step explanation:

give brainliest please :)

Answer:

the answer is a because since it’s $2 each and there’s f amount of bags, you would multiply to get the total cost so that means its B

Step-by-step explanation:

The probability that the elevator is overloaded because 10 adult male passengers have a mean weight greater than 157 lb is 0.2257. This indicates that there is a good chance that the elevator will exceed its capacity. Therefore, the elevator does not appear to be safe.

To determine the probability of the elevator being overloaded, we need to consider the distribution of the mean weight of 10 adult male passengers. Since we are given that the weights of males are normally distributed with a mean of 162 lb and a standard deviation of 27 lb, we can use these parameters to calculate the probability.

The mean weight of 10 adult male passengers can be calculated by dividing the maximum capacity of the elevator (1570 lb) by the number of passengers (10), which gives us a mean weight of 157 lb.

Next, we need to calculate the standard deviation of the mean weight. Since we are dealing with a sample of 10 passengers, the standard deviation of the sample mean can be calculated by dividing the standard deviation of the population (27 lb) by the square root of the sample size (√10). This gives us a standard deviation of approximately 8.544 lb.

Now, we can use the normal distribution to find the probability that the mean weight of 10 adult male passengers is greater than 157 lb. We need to calculate the z-score, which represents the number of standard deviations away from the mean. The z-score is calculated by subtracting the mean weight (157 lb) from the population mean (162 lb) and dividing it by the standard deviation of the sample mean (8.544 lb).

z = (162 - 157) / 8.544 ≈ 0.5867

Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of 0.5867, which is approximately 0.2257.

This means that there is a 22.57% probability that the mean weight of 10 randomly selected adult male passengers will exceed the weight limit of the elevator. Therefore, the elevator does not appear to be safe, as there is a significant chance of it being overloaded under these conditions.

To learn more about probability visit : https://brainly.com/question/13604758

#SPJ11

We need to evaluate the expressions (f + g)(3), (f - g)(3), (f * g)(3), and (f / g)(3) using the given functions f(x) = x² + 6x + 5 and g(x) = x + 1.

   Evaluate (f + g)(3):

   Substitute x = 3 into f(x) and g(x), and then add the results:

   f(3) = (3)² + 6(3) + 5 = 9 + 18 + 5 = 32

   g(3) = 3 + 1 = 4

   (f + g)(3) = f(3) + g(3) = 32 + 4 = 36

   Evaluate (f - g)(3):

   Substitute x = 3 into f(x) and g(x), and then subtract the results:

   f(3) = (3)² + 6(3) + 5 = 9 + 18 + 5 = 32

   g(3) = 3 + 1 = 4

   (f - g)(3) = f(3) - g(3) = 32 - 4 = 28

   Evaluate (f * g)(3):

   Substitute x = 3 into f(x) and g(x), and then multiply the results:

   f(3) = (3)² + 6(3) + 5 = 9 + 18 + 5 = 32

   g(3) = 3 + 1 = 4

   (f * g)(3) = f(3) * g(3) = 32 * 4 = 128

   Evaluate (f / g)(3):

   Substitute x = 3 into f(x) and g(x), and then divide the results:

   f(3) = (3)² + 6(3) + 5 = 9 + 18 + 5 = 32

   g(3) = 3 + 1 = 4

   (f / g)(3) = f(3) / g(3) = 32 / 4 = 8

To learn more about functions - brainly.com/question/31062578

#SPJ11

The probability that the area of triangle PBC is less than half of the area of triangle ABC is ¾.

The area of the triangle is given by ½ *height*base. Hence, for the triangle ABC, the area is

Area = ½ (AC)(BC)

Draw a line DE which is parallel to CB at the height ½ AC.

As the triangle ABC and ADE are similar triangle,

AD/AC = DE/BC

½ AC/AC = DE/BC

DE/BC = ½

DE = ½ BC

As CBDE is a trapezoids whose area is given by ½ (sum of parallel side)*height. Hence,

Area = ½ (DE + BC)(1/2 AC) = ½ (1/2 BC + BC)(1/2 AC) = ¼( 3/2 BC)(AC) = 3/8(BC)(AC)

As long as P is located inside the trapezoid, the area of PBC will be less than ½ area of ABC. Hence,

Area of CBDE/Area of ABC = 3/8(BC)(AC)/ ½ (AC)(BC) = 3/4

Hence, the probability that probability that the area of triangle PBC is less than half of the area of triangle ABC is ¾.

Learn more about Area of triangle:

https://brainly.com/question/23945265

#SPJ4

Answer:

Step-by-step explanation:

a) 500,000+300,000+150000+80000+0.02x+0.03x+0.08x=1030000+0.13x

b)1030000*(0.13*200)=26780000

there are two different power : power and exponent

exponent :    5⋅5⋅5=5^3

power 4^2 it is read as 4 to the second power or 4 squared 4 ∙ 4

"Like terms" are terms whose variables are the same example : x,7x,2x tey all have the same variable x

i hope it helps

a) The 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b) The 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

To calculate the confidence intervals for the population proportion, we can use the formula:

Confidence Interval = sample proportion ± margin of error

The margin of error can be calculated using the formula:

Margin of Error = critical value * standard error

where the critical value is determined based on the desired confidence level and the standard error is calculated as:

Standard Error = \(\sqrt{((p * (1 - p)) / n)}\)

Given that the sample proportion (p) is 0.81 and the sample size (n) is 500, we can calculate the confidence intervals.

a. 90% Confidence Interval:

To find the critical value for a 90% confidence interval, we need to determine the z-score associated with the desired confidence level. The z-score can be found using a standard normal distribution table or calculator. For a 90% confidence level, the critical value is approximately 1.645.

Margin of Error = \(1.645 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0323

Confidence Interval = 0.81 ± 0.0323

≈ (0.7777, 0.8423)

Therefore, the 90% confidence interval for the population proportion is approximately (0.7777, 0.8423).

b. 95% Confidence Interval:

For a 95% confidence level, the critical value is approximately 1.96.

Margin of Error = \(1.96 * \sqrt{(0.81 * (1 - 0.81)) / 500)}\)

≈ 0.0363

Confidence Interval = 0.81 ± 0.0363

≈ (0.7737, 0.8463)

Thus, the 95% confidence interval for the population proportion is approximately (0.7737, 0.8463).

Learn more about confidence interval here:

brainly.com/question/32546207

#SPJ4

Answer:

The fifth term of the sequence is 1875

Step-by-step explanation:

This is a geometric sequence since each consecutive term is being multiplied by 5. Therefore, the 5th term would be 5 times the 4th term, or 375*5=1875

In order to simplify and verify trig identities, one needs to use the rules of trigonometry and algebra to manipulate the equation until it is in a simplified form.

The most common trig identities to remember include the Pythagorean identity, reciprocal identities, quotient identities, and sum and difference identities. When simplifying an equation, it is important to remember to include the negative sign when necessary and to factor out any common factors.

After simplifying, it is important to verify the equation. This can be done by plugging in known values for the variables and verifying that the equation is true. By utilizing the rules of trigonometry and algebra, one can simplify and verify trig identities. This process is essential for working with trigonometric functions.

know more about algebra here

https://brainly.com/question/24875240#

#SPJ11