Roseanne has $500 that she wants to invest. She has the option to invest it at Capital Bank where
the money will earn 5% interest compounded annually or Central Bank that pays 5% simple
interest.
If she leaves the money in the bank for 5 years how much more in dollars and cents would she
earn in interest at Capital Bank than she would earn at Central Bank?
pls help

The Confidence Interval for the hypothesis test at the 5% level to determine if 68% represents California is 0.65, 0.90.

First, we need to find H₀ and Hₐ. In this case, we want to check whether California community colleges take 68% of the online classes thought by full-time faculties, or not.

H₀ : p = 0.68; Hₐ : p ≠ 0.68

Second, we need to determine the distribution needed. State what our random variable P’ represents.

Normal: N

Test Statistic : z = 0.1873

Third, we have to calculate he p-value using the normal distribution for proportions.

p-value = 0.1873

If the null hypothesis is true (the proportion is 0.68), thus there is a 0.1873 probability which the estimated proportion is 0.773 or more.

Fourth, we need to compare \(\alpha\) and the p-value, then indicate the correct decision (reject or do not reject the null hypothesis).

\(\alpha\) = 0.05

Decision : Do not reject the null hypothesis

Reason for decision : p-value > 0.05

At the 5% level, the data do not provide statistically significant evidence that the true proportion of online courses taught by full-time faculty is not 68%.

Last, define the confidence interval. The confidence interval is (0.6275, 0.8725) = (0.65, 0.90).

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Answer:on the circle

Step-by-step explanation:

Point J(-3, 12) is lying on the circle whose center is located at point D(-1, 3).

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have a center of the circle at D(-1, 3)

And point G(-10, 1) is on the circle.

We know the standard equation of the circle when a center is given:

\(\rm (x-h)^2+(y-k)^2=r^2\)

Where r is the radius of the circle and (h, k) is the center of the circle.

Here (h, k) ⇒ (-1, 3)

The circle equation becomes:

\(\rm (x+1)^2+(y-3)^2=r^2\)

Put the point on the circle equation to get the radius of the circle:

\(\rm (-10+1)^2+(1-3)^2=r^2\)

\(\rm (-9)^2+(-2)^2= r^2\\\\\rm 81+4 = r^2\\\\ \rm r = \sqrt{85} \ units\)

Equation of circle is:

\(\rm (x+1)^2+(y-3)^2=85\)

Now put the point J(-3, 12 ) in the circle equation:

\(\rm (-3+1)^2+(12-3)^2=85\)

4+ 81 ⇒ 85

It means point J is lying on the circle.

Thus, point J(-3, 12) is lying on the circle whose center is located at point D(-1, 3).

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Answer: The answer is D

Step-by-step explanation:

You are supposed to divide both sides of the equation by -3.

Answer:

8.3\(cm^{3}\)

Step-by-step explanation:

Complete question is;

Identify the type of sampling​ used: random,​ systematic, convenience,​ stratified, or cluster.

To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at General Foods selects every 18th soup can that comes off the assembly line starting with the fifth until she obtains a sample of 40 soup cans

Answer:

Systematic Sample

Step-by-step explanation:

We are told that the quality control manager selects every 18th soup can that comes off the assembly line starting with the fifth until she obtains a sample of 40 soup cans.

Thus, the selection is from a large sample of produce.

This is synonymous with systematic sample because systematic sample can be defined as a type of probability sampling in which sample members from a larger population are selected according to a random starting point but with a set periodic interval.

This resonates with the statement in the question about selecting every 18th soup from the production assembly line.

Answer:

1.8291

Step-by-step explanation:

Answer:

she bought 4 braclets

Step-by-step explanation:

if you do 20 times 4 it gets you 80 and if you subtract 50 it leaves you with 30 meaning she bought 4 bracelets

i do hope this helps even tho my explanation isn't exactly the best

A function is a function that represents the area under a curve. In this case, f is the curve being considered. The function a(x) represents the area under the curve of f from x=0 up to x.

So, if we want to find the area under the curve of f from x=0 up to x=3, we would evaluate a(3) - a(0). This would give us the total area under the curve of f from x=0 to x=3. Similarly, if we have another area function, say b(x), that represents the area under the curve of f from some other starting point (e.g. from x=1), we would use b(x) to find the area under the curve of f from x=1 up to some other x value.
The graph of f, displayed in the figure to the right, represents a function that can be analyzed using various mathematical concepts. In this case, we can consider two area functions for f, denoted as A(x) and B(x), which would allow us to evaluate the areas under the curve of the graph with respect to the x-axis. These area functions can be used to understand properties and behaviors of the function f in different regions of the graph.

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Answer:C

Step-by-step explanation:

Change 6 1/3 into a mixed number so 19/3 then multiply 19 * 4 then divide by 4. So C

Answer:

25 1/3 C

Step-by-step explanation:

BODMAS rule, helps us to determine the value of expression. The expanded value of expression,

63 - [(- 3){- 2 - 8 - 3}] ÷ [3{5 + (- 2)(- 1)}], is equals to the 61.14.

Mathematical operations such as addition, subtraction, multiplication, and division are included in arithmetic operations. For solving expression according to specific priority, we use the BODMAS rule, which follows as

Now, we have an expression, 63 - [(- 3){- 2 - 8 - 3}] ÷ [3{5 + (- 2)(- 1)}] say x

=> x = 63 - [(- 3){- 2 - 8 - 3}] ÷ [3{5 + (- 2)(- 1)}]

we have to calculate value of x,

Using BODMAS rule,

=> x = 63 - [(- 3){- 13 }] ÷ [3{5 + 2}] (expands inner bracket)

=> x = 63 - [ 39 ] ÷ [3×7]

=> x = 63 - [ 39 ÷ 21]

=> x = 63/1 - 13/7

Taking least common multiple, (1,7) = 7

=> x = ( 63×7 - 13)/7

=> x = (441 - 13)/7 = 428/7

=> x = 61.14

Hence, value of expression is 61.14.

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Here, the Laplace transform of f(t) being f(s), the Laplace transform is a technique used to convert a time-domain function, f(t), into a complex frequency-domain function, f(s). The response you're looking for would be the definition of the Laplace transform for positive s values and f(s) otherwise.

The Laplace transform is defined as:
F(s) = L{f(t)} = ∫(e^(-st) * f(t)) dt, from 0 to infinity,
where F(s) is the Laplace transform of f(t), s is a complex variable, and t is the time variable.
For all positive s values, the Laplace transform will exist if the integral converges. Otherwise, the Laplace transform does not exist, and you would use f(s) as given.
In summary, the Laplace transform of f(t) is F(s) for all positive s values when the integral converges, and f(s) otherwise.

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Answer:

see u in heaven gramma ;)

im comingggg

Answer:

15

Step-by-step explanation:

I THINK THIS IS CORRECT

Answer:

15

Step-by-step explanation:

1x1=1

2x2=4

3x3=9

No 2 same numbers can be multiplied to give a result of 15.

5x5=25

6x6=36

7x7=49

Answer:

AB≈DE

then, in triangle ABC&in triangle DEF

angle CAB =angle FDE

side AB= side DE

angle ABC= angle FED

So, triangle ATC≈ triangle DEF (A.S.A)

Answer:

0.13 inches.

Step-by-step explanation:

1 inch = 2.54 cm

So 1 cm = 1/ 2.54 in

0.33 cm = 0.33/2.54 in

= 0.13 inches.

Answer:

An unclosed shape or one with lines not straight.

Step-by-step explanation:

Answer:

I have provided a picture of the typical polygons so if an option doesn't look like this, then it's probably not a polygon. Also, polygons are any 2-d shape made with straight lines, so a circle or a 3D shape is wrong

The rate at which the base of the triangle is changing when the altitude is 20 cm and the area is 120 cm^2 is 0 cm/s.

To solve this problem, we need to use the formula for the area of a triangle, which is:

A = (1/2)bh

Where A is the area, b is the base, and h is the altitude.

We know that the area is 120 cm^2 and the altitude is 20 cm. So we can plug in these values and solve for the base:

120 = (1/2)b(20)

240 = 20b

b = 12 cm

Now we need to differentiate both sides of the equation with respect to time (t):

dA/dt = (1/2)(db/dt)h

We are given the value of dh/dt (which represents the rate at which the altitude is changing) is 3 cm/s. We need to find db/dt (which represents the rate at which the base is changing).

Plugging in the values we know, we get:

dA/dt = (1/2)(db/dt)(20)

Solving for db/dt, we get:

db/dt = (2dA/dt)/h

Plugging in the values we know, we get:

db/dt = (2)(0)/20

db/dt = 0 cm/s
Since the area is constant (120 cm²) and the altitude is constant (20 cm), the base of the triangle is not changing. Therefore, the rate at which the base is changing is: 0 cm/s

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Answer:

Perimeter=32

Step-by-step explanation:

Perimeter=Sum of all sides

=8+2+2(on opposite side) +3+3+6+6(on opposite side) +(8-(3+3)) [The bottom side] =32

Answer:

-$6, $0, and $17

Darnell's constant speed, as determined by the solution, is 20 miles per hour.

It covers linear transformations more broadly as well as vectors, matrices, and vector spaces. One area of mathematics is linear algebra. In comparison to other areas of mathematics that are frequently driven by innovative ideas and unresolved problems, linear algebra is a discipline that is very well understood.

Distance=8 miles

Time taken is=32 minutes

speed=distance/time

speed=15 miles/hour

Darnel has travelled a distance of 1.5x5/60=0.125 miles in under five minutes.

Hector bicycle speed = distance/time

hector speed of bike=  20 miles/hour

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c) The multiple regression equation for the given data is Predicted rating = (51.50) + (10.87) Durban + (16.83) D suburban.

The intercept is the average rural rating (51.50). The slope for the dummy variable representing urban viewers (10.87) is the difference between the average ratings of rural viewers. The slope for the dummy variable representing suburban viewers (16.83) is the difference between the average ratings of suburban and rural viewers.

d) The standard error for the Durban coefficient is 8.264 and the standard error for the Dsuburban coefficient is 12.007.

These are different due to the difference in sample sizes. The standard errors of the slopes are not equal because of the difference in sample sizes. In this case, the sample sizes for the three groups vary, and hence the standard errors of the slopes are different. The test statistics F and p-value for the test of the hypothesis that at least one of the coefficients is not equal to zero are given below. F = 1.199, p-value = 0.310.

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Hi there!

~

\(Y = 3x + c\)

Simplifying

\(Y = 3x + c\)

Reorder the terms:

\(Y = c + 3x\)

Solving

\(Y = c + 3x\)

Solving for variable 'Y'.

Move all terms containing Y to the left, all other terms to the right.

Simplifying

\(Y = c + 3x\)

Hope this helped you!

Therefore ,the volume of the block after cutting out the smaller cubes is  (8/25 cm^2)

Any three-dimensional solid's volume is just the amount of space it takes up. A cube, cuboid, cone, cylinder, or sphere can be one of these solids.

Volumes vary depending on the shape. We have examined different three-dimensional objects and shapes in geometry, including cubes, cuboids, cylinders, cones, and more. We will learn how to calculate the volume for each of these shapes.

Here,

volume = (8/25 cm2) represents the block's volume after the smaller cubes have been removed.

First, we must determine the volume of a cube with four or five centimeter sides, which is:

V = (4/5 cm)^2 = (16/25 cm^2)

The volume of each of the eight smaller cubes that was removed must now be subtracted.

v = (1/5 cm)^2 = (1/25 cm^2)

After the smaller cubes are removed, the block's volume is:

V - 8v = (16/25 cm^2) - 8*(1/25 cm^2) = (8/25 cm^2)

Therefore ,the volume of the block after cutting out the smaller cubes is  (8/25 cm^2)

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For, the given triangle, the measure for m∠3 is obtained to be 152°.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

Let the third interior angle be ∠4 in the triangle.

In a triangle, the sum of the interior angles is 180 degrees.

Therefore, we can write -

m∠1 + m∠2 + m∠4 = 180°

Substituting the given expressions for m∠1 and m∠2, we get -

(5x + 4) + (6x - 6) + m∠4 = 180°

Combining like terms, we get -

11x - 2 + m∠4 = 180°

Adding 2 to both sides, we get -

11x + m∠4 = 182°

m∠4 = -11x + 182°

Now the angles ∠3 and ∠4 form a supplementary angle so we have -

m∠3 + m∠4 = 180°

Substituting the given expressions for m∠3 and m∠4, we get -

(10x + 12) + (-11x + 182) = 180°

Combining like terms, we get -

-1x + 194 = 180°

Subtracting 194 from both sides, we get -

-1x = -14

Dividing both sides by -1, we get -

x = 14

Now we can substitute x = 14 into the expression for m∠3 -

m∠3 = 10x + 12

m∠3 = 10(14) + 12

m∠3 = 152°

Therefore, measure for ∠3 is 152 degrees.

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To begin with, let's first understand what a rectangular prism is. A rectangular prism is a three-dimensional object that has six faces,

Each of which is a rectangle. The faces are parallel and congruent, meaning they have the same size and shape. Now, coming to your question, you are asking about the area of one face of the rectangular prism.

Since all the faces of a rectangular prism are rectangles, the area of one face can be calculated by multiplying the length and width of the face.

For example, if the length of the rectangular prism is 5 units and the width is 3 units, the area of one face would be 5 x 3 = 15 square units. The units used to measure the length and width will also determine the unit of measurement for the area.

So, to summarize, the area of one face of a rectangular prism can be found by multiplying the length and width of that face.

if you have a rectangular prism with dimensions of length = 5 units, width = 4 units, and height = 3 units, you can calculate the area of each face as follows:

1. Length x width: 5 x 4 = 20 square units
2. Length x height: 5 x 3 = 15 square units
3. Width x height: 4 x 3 = 12 square units

So, the areas of the three different pairs of faces for this rectangular prism are 20, 15, and 12 square units, respectively.

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Answer:

62

Step-by-step explanation:

Measure of angle:

∠A  = 36.86°

∠B = 90°

∠C = 53.13 °

Measure of side ,

AB =  28

BC = 21

CA = 35

Given triangle ABC.

Right angled at B.

Now, using trigonometric ratios to find angle A , B , C .

Right angled at B : ∠B = 90°

Angle A,

SinA = 21/35

∠A = 36.86

Angle C,

SinC = 28/35

∠C = 53.13

Now measures of side.

To find the length of side use sine rule .

Sine rule:

a/sinA = b/sinB = c /sinC

a = opposite side of angle A .

b = opposite site of angle B .

c = opposite side of angle C.

AB = 28

BC = 21

CA = 35

Hence the sides and angles of the triangles are measured .

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Answer: B = 1.9

Step-by-step explanation:

A=5

C=12

B=x

Pythagorean Theorem: 5^2 + x^2 = 12^2  

25+x^2=144

x^2=119

\(\sqrt{19}\)≈10.9

Answer:

23

Step-by-step explanation:

f(3) = f(2) + f(1) = 5 + 4 = 9

f(4) = f(3) + f(2) = 9 + 5 = 14

f(5) = f(4) + f(3) = 14 + 9 = 23

Answer:

substituting n by 5 gives;

f(5)=(5-1)+(5-2)=7