solve pls brainliest

The speed of current and average speed of paddling is 3 and 7 respectively.

Let p represents paddling speed of kayack guide  and c represents speed of current.

If paddling downstream, the total speed is p + c because you’re paddling with the current. Similarly, if paddling upstream, the total speed is p - c because you would be paddling against the current.

Since paddling downstream took  2 hours so distance covered 2*(p + c)

which is equal to 20 miles.

2*(p + c) =20.

p + c = 10. -----i

Paddling upstream took 4 hours so distance covered 4*(p-c).

which is equal to 16 miles.

4*(p-c) = 16.

p - c = 4.  -------ii

adding both equation c will be cancelled. 2*p=14 p =7.

put value of p in equation i.

7 + c = 10  ,c = 3.

So the speed of current and average speed of paddling is 3 and 7 respectively.

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Answer:

5,610 people

Step-by-step explanation:

1. If one bus can carry 66 passengers you just do

85 (numbers of buses) x 66 (number of people per bus)

2. The answer is 5,610 people

Answer:

hope it helps

Step-by-step explanation:

66 passengers are carried on one bus

so multiply 66 by 85 which is the number of buses

66*85=5610

Answer:

A line graph would best display the data for a student's average grade in math class for each month in a school year. A line graph would show the trend of the student's grades over time and help to identify any patterns or changes in the grades throughout the year.

Answer:

The amount she saves is 25% of her income

Step-by-step explanation:

She is paid $11 per hour

She works 9 hours per day

and for 24 days per month

So, she works 9(24) hours per month

= 216 hours per month

Now, she is paid $11 hourly, so for 216 hours,

she will have 11(216) = $2376

Total income = $2376 per month

Saving = $594 per month

As a percentage, we divide the savings by the total income,

savings/(total income) = 594/2376 = 1/4 = 0.25

Hence we get 25%

Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

Answer:

diameter / 2 = radius

3 / 2 = 1.5

radius x radius x height x pi = volume

1.5 x 1.5 x 6 = 13.5

We don't multiply by Pi because it is already included

Hope this helps

Step-by-step explanation:

Lakisha's total job benefits per year are (D) $58,196.

To find  Lakisha's total job benefits:

If Lakisha's employer pays $2,150 in health insurance and $86 in life insurance per year, and she also gets $3,520 in paid time off per year, then Lakisha's total job benefits per year are equal to:

Total Benefits = Health Insurance + Life Insurance + Paid Time Off + Annual Gross Pay

Therefore,  Lakisha's total job benefits per year are (D) $58,196.

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Answer The answer is D

Step-by-step explanation:

I got it correct on edg

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). We can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

The UC Berkeley Institute of Governmental Studies conducted a poll in 2019 with 4,527 respondents in California, where 51.7% of them reported considering moving out of the state. The objective is to calculate a 95% confidence interval for the proportion of all Californians who considered moving out of state, given the sample size and proportion.

B. The formula to calculate the confidence interval for a proportion is:

CI = p^ ± z* √[(p^(1-p^))/n]

Where p^ is the sample proportion, n is the sample size, and z* is the critical value of the standard normal distribution for the desired confidence level. For a 95% confidence level, z* = 1.96.

Substituting the given values into the formula, we get:

CI = 0.517 ± 1.96 * √[(0.517*(1-0.517))/4527]

CI = 0.517 ± 0.013

The 95% confidence interval for the proportion of all Californians who considered moving out of state is (0.504, 0.530). Therefore, we can be 95% confident that the true proportion of all Californians who considered moving out of state lies between 50.4% and 53.0%.

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567

becoz it's merits in increment

The maximum area of the rectangle inside the ellipse is 2ab.

Given that,

Ellipse = x2 / a2 + y2 / b2 = 1

we know the general coordinates of any point in an ellipse of the equation

x2 / a2 + y2 / b2 = 1 is (acosθ,bsinθ)

So, we take general vertices of rectangles as

(acosθ,bsinθ), (acosθ,-bsinθ), (-acosθ,bsinθ), and (-acosθ,-bsinθ)

So, we can see that length and breadth of the rectangle is 2acosθ and 2bsinθ

So, its area will be ab4sinθcosθ (Length x Breadth)

Applying trigonometric formula 2sinθcosθ=sin2θ, let area equals to A

Now A=2absin2θ

Now as the area is the maximum given in the question, we have to differentiate it with respect to θ

dA/dθ=2abcos2θ×2 (using dsin2θ / dθ=2cos2θ)

Equating dA / dθ=2abcos2θ×2=0, it means cos2θ=0 , which means 2θ =  π / 2 and θ=π / 4

So now we to put θ=π / 4 in the equation of area which is A=2absin2θ

We get as A=2absin2π / 4=2absinπ / 2=2ab

Hence the max area of the rectangle inside the ellipse is 2ab.

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The probability that the average hourly rate of the 100 registered web developers sampled exceeds $35.5 is approximately 0.106, rounded off to the third decimal place.

The mean of the distribution of the hourly rate of registered web developers is $\mu = 35$ and the standard deviation is $\sigma = 4$. We are interested in finding the probability that the average hourly rate of the 100 registered web developers sampled exceeds $35.5$.

We can use the central limit theorem to approximate the sampling distribution of the sample mean. According to the central limit theorem, the sampling distribution of the sample mean will be approximately normal with mean $\mu_{\bar{x}} = \mu = 35$ and standard deviation $\sigma_{\bar{x}} = \frac{\sigma}{\sqrt{n}} = \frac{4}{{100}} = 0.4$.

Let $X$ be the sample mean hourly rate of the 100 registered web developers. Then we need to find $P(X > 35.5)$.

Standardizing $X$,we get:

Using a standard normal table or calculator, we can find the probability $P(Z > 1.25) \approximately 0.1056$. Therefore, the probability that the average hourly rate of the 100 registered web developers sampled exceeds $35.5$ is approximately 0.106, rounded off to the third decimal place

Mackenzie's reimbursement for a business trip would be $736.50 per mile when she drives of a total of 982 miles with $0. 75 per mile.

Mackenzie's reimbursement for driving 982 miles for business can be calculated by multiplying the number of miles driven by the reimbursement rate per mile.

Mackenzie's company reimburses her $0. 75 per mile which is rate per mile.

Reimbursement = miles driven x rate per mile

Filling the value in above equation.

So,

Reimbursement = 982 miles x $0.75/mile

Reimbursement = $736.50

Therefore, Mackenzie's reimbursement for driving 982 miles with the rate of $0. 75 per mile for business would be $736.50.

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The equation of the quadratic function represented by the table is;

f(x) = -2x² - 8x + 42

The general form of a quadratic equation is;

y = ax² + bx + c

At x = 0, y = 42

Thus, c = 42

When x = 3, y = 0.

Thus;

9a + 3b + 42 = 0

9a + 3b = -42    -----(1)

At x = 1, y = 32. Thus;

a + b + 42 = 32

a = -10 - b

Put -10 - b for a in eq 1 to get;

9(-10 - b) + 3b = -42

-90 - 6b = -42

-6b = 48

b = -8

a = -10 - (-8)

a = -2

Thus;

f(x) = -2x² - 8x + 42

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Answer:

117π=367.38

Step-by-step explanation:

r=d/2=3

V=πr2h=π·3²·13=117π=367.38

Answer:

The answer is 38.48

Step-by-step explanation:

Picture with explanation provided below.

a. The greatest number of packages the teacher can make using all the paintbrushes and paint is 8

b. The number of paintbrushes in each package would be 3 and the number of tubes of paints would be 5

In order to determine the greatest number of packages the teacher can make using all the paintbrushes and paint, we have to determine the highest common factor of the number of brushes and the number of tubes of paint

Highest common factor is the highest factor that is common to two or more numbers:

Factors of 24 = 1,2,3,4,6,8,12 and 24

Factors of 40 = 1, 2, 4, 5, 8, 10, 20 and 40.

Common factors of 24 and 40 = 1, 2, 4, 8

Therefore, the highest common factor is 8.

The number of paintbrushes in each package:

= Number of brushes / number of package

= 24/8

= 3 brushes

The number of tubes of paint:

= number of tubes of paints / number of package

= 40 / 8

= 5 tubes of paints

Full question "An art teacher is making packages of paint brushes and paint for his. He has 24 brushes and 40 tubes of paint. Each package will have the same number An art teacher is making packages of paintbrushes and paint for his students. of brushes and the same number of tubes of paint. Part a. What is the greatest number of packages that the art teacher can make using all the paintbrushes and paint? Show your work Part b. How many paintbrushes and tubes of paint are in each package?​".

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Step-by-step explanation:

3 root 3 + 6 root 3 + 7/ root 3

= (27 +7)/ root 3

= 34 root 3 / 3

Answer: you can use a calculator, -0.75

Step-by-step explanation:

-2+-8+9

The + and - make a - so you can simplify to

-2-8+9

-1x3

-3/4

Answer:P=1485 R= 1203

Step-by-step explanation:

The question seems to have a typographical error, as the term "ciftiss process" is unclear. If you meant "Cp for this process," then the capability index can be calculated using the provided information of a target value of 1.100 degrees and a standard deviation of 0.010 degrees. However, if you intended to ask about a different process or acronym, please provide further clarification.

The capability index, Cp, is a measure of process capability that compares the width of the process spread to the width of the specification limits. It helps assess whether a process is capable of meeting the desired specifications. Cp is calculated by dividing the tolerance range by six times the standard deviation.

In this case, the question provides a target value of 1.100 degrees and a standard deviation of 0.010 degrees. However, it does not specify the tolerance range or the specification limits of the process. Without the tolerance range, we cannot calculate the exact Cp value.

To calculate the Cp, we need the upper and lower specification limits or the tolerance range. Without this information, we cannot determine the Cp or assess the process capability accurately.

Therefore, without the tolerance range or specification limits, we cannot calculate the capability index Cp or determine the capability of the process. It is essential to have complete information regarding the specification limits to evaluate process capability accurately.

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Answer:

The overall change in temperature over the time period ∆T = -12.6°F

Step-by-step explanation:

Rate of change of temperature r = -2.8°F per hour

Time t = 4.5 hours

The overall change in temperature ∆T = Rate of change of temperature × time period

∆T = r × t

∆T = -2.8°F per hour × 4.5 hours

∆T = -12.6°F

The overall change in temperature over the time period is -12.6°F

Answer: -12.6

Step-by-step explanation:

the parallelepipeds' volume with neighboring edges is 16

The faces of a parallelepiped, a three-dimensional shape, are all parallelograms. It derives from the Greek phrase "an thing having parallel plane." In essence, it is a three-dimensional shape or a prism with a parallelogram base that is created by six parallelogram sides.

\(\vec{(PQ)}=\) (3+1, 0-2 ,1-5) = (4 , -2 , -4)

\(\vec{(PR)}=\) (3-5, 0-1 ,1+1) = (-2 , -1 , 2)

\(\vec{(PS)}=\) (3-0, 0-4 ,1-2) = (3 , 4 , -1)

The scalar triple product is given by the determinant of the matrix (3X3) that has in the rows the three components of the three vectors:

\(\left[\begin{array}{ccc}+4&-2&-4\\-2&-1&+2\\3&-4&-1\end{array}\right]\)'

and the determinant is shown as an illustration using the Laplace rule (first row):

\(4[(-1)(-1) - (2)(-4)] -(-2) [(-2)(-1) - (2)(3)] +(-4)[(-2)(-4)-(-1)(3)]=4(1+8)+2(2-6)-4(8+3)=36-8-44=-16\)

So the volume is: V=\(|-16|\)=16

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The Required Sample size is 138 . Yes, this number of IQ test Score is a fairly large number.

In the given statements we have , An IQ test is designed such that

the mean of adults ( X bar ) = 100

standard deviations (σ ) = 18

Estimate the mean iq score of statistics students such that the confidence level is 95%

We know the value of Z score for given confidence level 95% is 1.96 .

Margin of error in IQ test = 3

we shall calculate the sample size here.

Using the Margin of error formula,

M.E = Z( √σ ²/n )

where, Z--> z score value

σ --> standard deviations

n ---> sample size

putting all the values in this formula we get ,

3 = 1.96 (√(18)²/n )

=> 3/1.96 = √324/n => (1.5306)² = 324/n

=> n = 324/ 2.342 = 138.29

Hence, the required Sample size is 138 .

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Complete question:

An IQ test is designed so that the mean is 100 and the standard deviation is 18 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95% confidence that the sample mean is within 3 IQ points of the true mean. Assume that σ =18 and determine the required sample size using technology.

Then determine if this is a reasonable sample size for a real world calculation.

A polynomial function of degree n has at most n real zeros and at most n - 1 turning points.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

A polynomial function

Now,

Because of the Fundamental Theorem of Algebra states that a polynomial function of degree n has exactly n complex roots (or zeros), some of which may be repeated or non-real. The number of real roots is equal to or less than the number of complex roots.

A turning point is a point where the graph of the polynomial function changes direction from increasing to decreasing or vice versa. The number of turning points is equal to or less than one less than the degree of the polynomial function. This is because each turning point corresponds to a change in the sign of the first derivative of the function, and the first derivative is a polynomial function of degree n - 1.

Therefore, by the function the answer will be n - 1.

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Answer:

$6.5 per bag

Step-by-step explanation:

The unit price is the total price divided by the weight

9.75/1.5 = 6.5

Think of two numbers that

Trial and error will get us to the values 2 and 5

This would mean x^2+7x+10 = (x+2)(x+5)

Set each factor equal to zero and solve for x.

The roots or x intercepts are -2 and -5, which is where the parabola crosses the x axis. This represents the locations (-2,0) and (-5,0) respectively.

Side note: The quadratic formula can be used to solve x^2+7x+10 = 0 as an alternative route.

-------------

The roots found were -2 and -5.

The x coordinate of the vertex is found at the midpoint of these roots.

Add them up and divide in half

(-2 + -5)/2 = -7/2 = -3.5

Plug this value into the function to find the y coordinate of the vertex.

f(x) = x^2+7x+10

f(-3.5) = (-3.5)^2+7(-3.5)+10

f(-3.5) = -2.25

The vertex is located at (-3.5, -2.25)

------------

In conclusion we have these three points on the parabola

Check out the graph below. I used GeoGebra to make the graph, but Desmos is another good option.

Answer:

a sin(bθ−c)+d

→ Using this, find the amplitude based off of the given formula. Use the expression as a reference to help you identify a.

a = 3

b = 4

c = 0(no defined value)

d = 0(impossible to identify)

→ Find a.

→ Since a is already given, we know that a = 3, therefore, the amplitude is 3