based on past experience, a bank believes that 7.6 % of the people who receive loans will not make payments on time. the bank has recently approved 240 loans. what must be true to be able to approximate the sampling distribution with a normal model? before proceeding, think about whether the conditions have been met. what are the mean and standard deviation of the sampling distribution of the proportion of people who will not make payments on time in samples of 240?

The two square roots are used to estimate √47 are: √36 and √49

The correct answer is an option √36 and √49

We have been given a number √47

We need to find the two square roots used to estimate √47

The value of √47 = 6.85

We know that √36 = 6

and √49 = 7

√36 < √47 < √49

Therefore, the two square roots are used to estimate √47 are: √36 and √49

The correct answer is an option √36 and √49

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Answer:

q is true

Step-by-step explanation:

To verify the inequality without evaluating the integrals, we can use the properties of integrals.

First, we know that the integral of a positive function gives the area under the curve. Therefore, the integral of √(1-x^2) from -1 to 1 gives the area of a semicircle with radius 1. This area is equal to π/2, which is approximately 1.57.
Next, we can use the fact that the integral of a function over an interval is less than or equal to the product of the length of the interval and the maximum value of the function on that interval. Since the function √(1-x^2) is decreasing on the interval [-1,1], its maximum value is at x=-1, which is √2/2.
Using this property, we have:
∫1 -1 √(1-x^2) dx ≤ (1-(-1)) * √2/2 = √2
Finally, we can use a similar argument to show that the integral is greater than or equal to 2. Therefore, we have:
2 ≤ ∫1 -1 √(1-x^2) dx ≤ √2
To verify the inequality 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2 using properties of integrals, let's first establish that the integrand is non-negative on the interval [-1, 1]. Since 0 ≤ x^2 ≤ 1, we have 0 ≤ 1 - x^2 ≤ 1, so √(1 - x^2) is non-negative.
Now, consider the areas of two squares: one with side length 2 and the other with side length √2. The area of the first square is 2² = 4, and the area of the second square is (√2)² = 2. Since the integrand lies between 0 and 1, the area under the curve is less than the area of the first square but more than half of it (as it resembles half of the first square).
Therefore, 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2, as the area under the curve is between half of the first square's area and the second square's area.

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Ans - The random variable, x, represents the number of 1's showing when rolling 4 fair standard 9-sided dice , and The possible numerical values for x, in ascending order, are 0, 1, 2, 3, and 4.

When rolling a fair standard 9-sided die, the numbers that can appear are 1, 2, 3, 4, 5, 6, 7, 8, and 9. We want to determine how many 1's show up when rolling 4 dice.

Let's consider each possibility:

1. No 1's: This means that none of the 4 dice shows a 1. In this case, x would be 0.

2. One 1: One of the 4 dice shows a 1, while the other 3 dice show numbers other than 1. We can choose any of the 4 dice to be the one showing a 1, so there are 4 possibilities. In this case, x would be 1.

3. Two 1's: Two of the 4 dice show a 1, while the other 2 dice show numbers other than 1. We can choose any 2 dice to show a 1, so there are (4 choose 2) = 6 possibilities. In this case, x would be 2.

4. Three 1's: Three of the 4 dice show a 1, while the remaining die shows a number other than 1. We can choose any 3 dice to show a 1, so there are (4 choose 3) = 4 possibilities. In this case, x would be 3.

5. Four 1's: All 4 dice show a 1. There is only 1 possibility in this case. In this case, x would be 4.

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Answer:

125 km per hour

Step-by-step explanation:

divide 500 by 4 to find the averge

Answer:

\( \sf \: 125km/hr\)

Step-by-step explanation:

Average speed = \( \sf \: \frac{distance \: travelled}{time \: taken} \)

Ave. speed = \( \sf \frac{500km}{4hr} = 125kmhr {}^{ - 1} \)

Hence, the average spred is 125km/h respectively.

Answer:

Try y=x²+4

Step-by-step explanation:

y=-x+4

when its perpendicular you change the -x to x. When you have a perpendicular equation flip the sign and if fraction flip the fraction as well but there isn't a fraction here so you just change the -x to a +x and then work out the problem like this

y-3=x(x- -1)

y-3=x²+1

 +3     +3

__________

y=x²+4

        For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:  

       The question gives us two points, (-6, -8) and (-3,-7), from which we can find the slope and later the equation of the line.

Finding the Slope  

The slope of the line (m) = (-8 - (-7)) ÷ (-6 - (-3))    

                                          =  -1 ÷  (-3)  

                                          =   ¹/₃  

Finding the Equation

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:  

                                 ⇒  y - (-7) =   ¹/₃ (x - (-3))  

  we could also transform this into the slope-intercept form ( y = mx + c)

                                   since  y + 7 =   ¹/₃ (x + 3)

                                         ⇒     y + 7 =  ¹/₃ x + 1

To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.

Answer:

Step-by-step explanation:

Insert 4 arithmetic means between 2 and 37.

First Step :

《First term 》a1 = 2

《Last term》an = 37

《No. of all terms》 n = 6

Find the common difference (d).

To find the common difference (d).

Use the formula:

an= a1+ (n-1) dan=a1+(n−1)d

Substitute.

37= 2+ (6-1) d37=2+(6−1)d

37= 2+ 5d37=2+5d

(37= 2+ 5d)-2(37=2+5d)−2

37-2= 5d37−2=5d

The quotient of (5+21) (6-4) and (2+1) is 13/3, expressed in its simplest form

The quotient of two numbers is a way of expressing the ratio of their values. It is the result of dividing one number by the other, and can be written as a fraction or as a decimal.

The quotient of 4 and 8 is 0.5, since 4 divided by 8 is 0.5.

The quotient of (5+21) (6-4) and (2+1) can be expressed as follows:

First, we need to solve each parenthesis separately. The first parenthesis is (5+21), which equals 26. The second parenthesis is (6-4), which equals 2. Therefore, the quotient of (5+21) (6-4) is 26/2, which can be simplified to 13/1.

Now, we need to divide 26/2 by (2+1). The result is 13/3, which is the final quotient.

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(a) 77+21(6) = $203

(b) 329 = 77 + 21h means 252 = 21h, and thus h = 12 hours

Therefore, the approximate value of y(2.5) using Taylor's method of order two with h=0.5 is approximately 2.61135.

To approximate the value of y(2.5) using Taylor's method of order two with h=0.5, we need to calculate the values of y at intermediate steps.

Given the initial condition y(2) = 1, we can calculate y'(2) using the given equation:

\(y'(2) = 1 + (2 - 1)^2 \\= 2\)

Now, let's calculate the values of y at t = 2, 2.5, and 3 using Taylor's method of order two:

Step 1:

t = 2, y = 1

Step 2:

t = 2.5

k1 = h * y'(2)

= 0.5 * 2

= 1

\(k2 = h * (1 + (2.5 - 1)^2 - (1 + k1)^2) \\= 0.5 * (1 + (2.5 - 1)^2 - (1 + 1)^2)\)

= -0.125

y = y(2) + k1 + (1/2) * k2

= 1 + 1 + (1/2) * (-0.125)

= 1 + 1 - 0.0625

= 1.9375

Step 3:

t = 3

\(k1 = h * y'(2.5) \\= 0.5 * (1 + (2.5 - 1.9375)^2) \\= 0.5 * (1 + 0.3516) \\ =0.6758k2 = h * (1 + (3 - 1.9375)^2 - (1 + k1)^2) \\= 0.5 * (1 + (3 - 1.9375)^2 - (1 + 0.6758)^2) \\= -0.0059y = y(2.5) + k1 + (1/2) * k2 \\= 1.9375 + 0.6758 + (1/2) * (-0.0059) \\= 1.9375 + 0.6758 - 0.00295 \\= 2.61135\)

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Answer:

7A: 84

7B: 15

7C i: HCF = 3

7C ii: LCM = 420

Step-by-step explanation:

See attached

z-table value that represents an area less than 0.5 corresponds to a positive z-score, which indicates that the corresponding value is to the right of the mean.

What is standard normal curve ?

A standard normal curve is a specific type of normal distribution with a mean of 0 and a standard deviation of 1. It is also called a standard Gaussian distribution.

The standard normal curve is bell-shaped and symmetric, and it is widely used in statistical analysis and hypothesis testing. It is often used to represent the distribution of random variables that have been standardized, or transformed to have a mean of 0 and a standard deviation of 1.

According to the question:
A z table value for the area under the standard normal curve that is less than 0.5 will have a C. positive z score.

The standard normal distribution has a mean of 0 and a standard deviation of 1, and it is a symmetric distribution. The area under the curve to the left of the mean is 0.5, and the area to the right of the mean is also 0.5.

Since the distribution is symmetric, the area to the left of the mean is equal to the area to the right of the mean. Therefore, any z-table value that represents an area less than 0.5 corresponds to a positive z-score, which indicates that the corresponding value is to the right of the mean.

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Answer: 9 min

Step-by-step explanation:

Since team members: minutes are inversely proportional, you can use x = k/y to solve.

27 = k/5 (multiply by 5 for each side)

135 = k

Using this, you can see. that 135/15 = 9 minutes

If all the members pain at the same speed, then 15 members of the team will take 9 minutes to paint the wall.

The speed of all the members of the spray painting team is exactly the same.

5 members can paint a wall in 27 minutes.

Now, 15 members are painting the same wall.

Then the increase in man power is:

15 / 5 = 3 times more than before.

Since there is an increase in man power, therefore the time taken to paint the wall will also decrease by the same factor.

Therefore,

The time taken by 15 members to paint the wall will be:

Time = 27 / 3

Time = 9 minutes

Hence, 15 members will take 9 minutes to paint the wall.

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Some of the fundamental ideas that algebra has taught me so far include: using graphs, solving inequalities on the number line, learning how to work with variables and constants, solving linear equations, and solving quadratic equations.

Algebra is a branch of mathematics that focuses on mathematical operators or arithmetic operators and how they are used in their variant ways or combined to solve problems.

It should be noted algebra can also be used to illustrate real life problems.

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Answer:

6.6 is the correct number

Step-by-step explanation:

The base is 2.2 inches. The height is 3 inches. So the area is 2.2 × 3 = 6.6 square inches.

The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.

# defining function to calculate total cost

def total_cost(units):

   if units <= 500:

       return units * 0.02

   elif units <= 1000:

       return (500 * 0.02) + ((units - 500) * 0.05)

   else:

       return (500 * 0.02) + (500 * 0.05) + ((units - 1000) * 0.10)

# Driver Code

consumptions = [200, 500, 700, 1000, 1500]

for i in consumptions:

   total = total_cost(i)

   print("Total cost of Electricity for", i, "units is", round(total + 5, 2))

Output:

Total cost of Electricity for 200 units is 9.0

Total cost of Electricity for 500 units is 15.0

Total cost of Electricity for 700 units is 25.0

Total cost of Electricity for 1000 units is 40.0

Total cost of Electricity for 1500 units is 90.0

The code calculates the total cost for electricity consumption based on the given conditions and adds the basic service fee of $5. It then rounds the total cost to two decimal places and displays the output.

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The lateral surface-area of the cone with dimensions 12 cm height and 5 cm radius is 65π cm² using the formula πrl.

What is surface-area?

The overall surface area of a solid shape, item, or three-dimensional figure.It can have a flat or curved surface. Cone and cylinder surfaces are curved, but those of solid structures like the cube and cuboid have flat surfaces. The surface area of the cube is provided by 6 times side times side, which equals the area of each face side times side. The cube and cuboid have 6 faces, 12 equal edges, and 8 corners or vertices.

Given that the dimensions of cone:

Radius(r)=5 cm

Height(h) = 12 cm

slant height l =\(\sqrt{r^{2} +h^{2} }\)

                      =\(\sqrt{(5)^{2} +(12)^{2} }\)

                      =\(\sqrt{25+144}\)

                      =\(\sqrt{169}\)

                      =13 cm

Slant height (l) = 13 cm

lateral area of cone= πrl.

                                =π (5) (13)

                                =65 π cm²

The lateral surface area of cone=65 π cm²

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Answer:

67.5

Step-by-step explanation:

If all triangles equal 180 degrees, and one angle is 45 degrees, you get the equation 180 = 45 + x + x which is the same as 180 = 45 + 2x, and instead of that equation, you can use 180 - 45 = 2x. That gives you 135 = 2x, and now divide both sides by 2 and you get 67.5 = x

The combination of  number of ways of groups of 3 customers are  19600 .

What is permutation and combination?

The number of store customer is N = 50

The number of customer that receive a special gift is r = 3

The expression for the number of possible ways to choose 3 customers is

                   = ⁿCr

                   = ⁵⁰C₃

                    = 50 * 49 * 48/3 * 2 * 1

                    = 19600

Thus, the number of ways of groups of 3 customers are  19600.

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The length of the rectangle is (10+x) cm and the width of the rectangle is x cm.

According to the question,

We have the following information:

The width of the rectangle = x cm

Now, the length of the rectangle is given to be 10 cm more than the width of the rectangle.

So, this can be converted in the following mathematical expression:

Length of the rectangle = 10+x cm

(More to know: the area of the rectangle is given by the formula l*b where l is the length and b is the breadth of width of the rectangle.)

Hence, the length of the rectangle is (10+x) cm and the width of the rectangle is x cm.

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Since angle y and angle x form vertical angles, the measure of angle x is equal to 50°.

In Geometry, the vertical angles theorem is also referred to as vertically opposite angles theorem and it states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other.

Furthermore, the sum of the angles on a straight line is equal to 180. Therefore, we would sum up all of the angles as follows;

60° + 70° + y = 180°

130° + y = 180°

y = 180° - 130°

y = 50°

Since both angle x and angle y are vertical angles, we can logically deduce that they are congruent and as such the magnitude of angle x is equal to 50°.

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The smallest possible value of the total number of grapes eaten in the contest is the product of (n-1) and the number of grapes eaten by the child in last place, plus the number of grapes eaten by the winner.

We have,

A group of children held a grape-eating contest.

And, when the contest was over, the winner had eaten grapes, and the child in -th place had eaten grapes.

Hence, The smallest possible value of the total number of grapes eaten in the contest is,

(n - 1) (grapes eaten by the child in last place) + (grapes eaten by the winner).

So for example, if the winner had eaten 10 grapes and the child in last place had eaten 5 grapes, the total number of grapes eaten in the contest would be;

(n-1)5 + 10 = 45.

Hence, The smallest possible value of the total number of grapes eaten in the contest is the product of (n-1) and the number of grapes eaten by the child in last place, plus the number of grapes eaten by the winner.

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The correct option A, "None of the associations listed are correct," is the appropriate response.To determine the association suggested by the two-way table, we need to calculate the relative frequency of the data.

The table provides information about whether individuals have a brother and a sister.

Based on the options given, let's calculate the relative frequencies to see which association is suggested:

Calculate the relative frequency for individuals who have a brother and a sister:Relative frequency = (Number of individuals with both a brother and a sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a brother but no sister:Relative frequency = (Number of individuals with a brother but no sister) / (Total number of individuals)

Calculate the relative frequency for individuals who have a sister but no brother:Relative frequency = (Number of individuals with a sister but no brother) / (Total number of individuals)

Calculate the relative frequency for individuals who have neither a brother nor a sister:Relative frequency = (Number of individuals with neither a brother nor a sister) / (Total number of individuals)

By comparing the relative frequencies, we can determine which association is suggested by the data.Unfortunately, the given two-way table is missing, so we cannot perform the necessary calculations to determine the association.

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Answer:

Step-by-step explanation:

r = 1.5 in ,    V = 56.52 in³

V = π × r² × h

56.52 = π × (1.5)² × h

56.52 = π × 2.25 × h

\(h=\dfrac{56.25}{2.25\pi}=\dfrac{25}{\pi}\ in=7.9577...\ in\approx8\ in\)

Answer:

B:8

A:10

B:19

Step-by-step explanation:

I first did the pedmas equation to then divide, subtract, add etc.. it by the constant.

3x2 = 6

6+4=10

10-2=8

Answer is 8

Next question

3+ 12= g+5

15= g+5

15-5=10

Next question

36/2 = 18

18+9 = 27

= 19

Hope it helps!! Pls give brainliest :)) Have a good dayy

In general and here, when we have an object with a constant cross section of area A, the volume V = A L, where L is the length.

L = V / A = 330 / 55 = 6 cm

Answer: 6 cm

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J = L - 7

K = 2L - 21

L = L

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Sum of the interior angles of any triangle equal 180 . Thus ;

\(L + K + J = 180\)

\(L + (2L - 21) + (L - 7) = 180 \\ \)

\(4L - 28 = 180\)

Add sides 28

\(4L - 28 + 28 = 180 + 28 \)

\(4L = 208\)

Divide sides by 4

\( \frac{4}{4} L = \frac{208}{4} \\ \)

\(L = 52\)

So :

\(J = L - 7\)

\(J = 52 - 7\)

\(J = 45\)

And :

\(K = 2 L - 21\)

\(K = 2(52) - 21\)

\(K = 104 - 21\)

\(K = 83\)

Done...

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Answer:

y=-1/2x+2

Step-by-step explanation:

If you are supposed to put it in slope-intercept form,(y=mx+b), then this would be the answer because the slope (m) is -1/2, and the y intercept is 2. I hope this helps :).