A woman received 5 per cent interest on a loan of $300 for 1 year. How much interest did she receive? $5 $15 $30 $150 none of these

Answer:

Pitcher 2

Step-by-step explanation:

Pitcher 1  = 4 x 1.25 = 5ml concentration

Pitcher 2 = 5 x 2 = 10ml concentration

therefore, pitcher 2 has more concentration :)

hope this helped

The probability that at least one bike out of 7 randomly selected cases of stolen bicycles is recovered is approximately 0.918.

To find this probability, we can use the complement rule. First, we need to determine the probability that none of the 7 bikes is recovered. Given that the probability of one bike being recovered is 0.3, the probability of one bike not being recovered is 0.7. Using this, we can calculate the probability of none of the 7 bikes being recovered as follows:

P(none recovered) = P(not recovered) x P(not recovered) x ... (7 times)

P(none recovered) = 0.7 x 0.7 x ... (7 times)

P(none recovered) = 0.7^7

P(none recovered) = 0.082

Next, we can use the complement rule to find the probability that at least one bike out of the 7 is recovered:

P(at least one recovered) = 1 - P(none recovered)

P(at least one recovered) = 1 - 0.082

P(at least one recovered) = 0.918

Therefore, the probability that at least one bike out of 7 randomly selected cases of stolen bicycles is recovered is approximately 0.918, which is closest to option B (0.918).

To know more about the complement rule, refer here:

https://brainly.com/question/29146128#

https://brainly.com/question/30899429#

#SPJ11

The probability value indicates that there is statistical significance in 0.0345 option (a) is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

As we know,

Statistical significance is commonly defined as a probability value of 0.05 or even less. P-value can be used in replacement of or in addition to preset levels of confidence when testing the claim.

The value 0.0345 < 0.05

The probability value of 0.0345 indicates that there is statistical significance

Thus, the probability value indicates that there is statistical significance in 0.0345 option (a) is correct.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ4

The operation you would use to solve \(6y=10\) is division because we want to get the variable by itself. We use division because it' is the inverse of multiplication. So to solve \(6y=10\), I would be dividing.

\(6y=10\)

Divide both sides by 6(get the variable by itself):

\(\dfrac{6y}{6} =\dfrac{10}{6}\)

\(=1.666667\)

Answer:

61.5 Feet of Rope

Step-by-step explanation:

Divide the rope length, 861 feet, by 14 people.

Answer:

D

Step-by-step explanation:

(3x+2)(x-4)

3x^2-12x+2x-8

3x^2-10x-8=0

Answer:

56 times 52 times 76 divide by 4 = ? times 3 dont forget to add cm cubed at the end

Step-by-step explanation:

Answer:

\(\frac{\sqrt{3}}{11}>\frac{\pi }{24}>\frac{3}{25}>\frac{9}{100}\)

Step-by-step explanation:

To get the order of the lengths in the order from greatest to least we will make the denominator of the given fractions common and then compare the numerators.

\(\frac{3}{25}, \frac{\sqrt{3}}{11}, \frac{9}{100},\frac{\pi }{24}\)

LCM of the denominators,

2 |  25   11    100   24

2 |  25    11     50    12

5 |  25    11     25     6  

5 |    5     11     5      6  

      1      11      1       6

LCM = 2×2×5×5×6×11 = 6600

\(\frac{3}{25}=\frac{3}{25}\times \frac{264}{264}\)

   \(=\frac{792}{6600}\)

\(\frac{\sqrt{3}}{11}=\frac{\sqrt{3} }{11}\times \frac{600}{600}\)

    \(=\frac{600\sqrt{3}}{6600}=\frac{1039}{6600}\)

\(\frac{9}{100}=\frac{9}{100}\times \frac{66}{66}\)

     \(=\frac{594}{6600}\)

\(\frac{\pi }{24}=\frac{\pi }{24}\times \frac{275}{275}\)

    \(=\frac{275\pi }{6600}\)

    \(=\frac{864}{6600}\)

Now we can arrange these fractions in the order of greatest to least.

\(\frac{1039}{6600}>\frac{864}{6600}>\frac{792}{6600}>\frac{594}{6600}\)

\(\frac{\sqrt{3}}{11}>\frac{\pi }{24}>\frac{3}{25}>\frac{9}{100}\)

Answer:

5) y = -8x -4

6) y = 2x + 3

Step-by-step explanation:

Slope is rise over run. For the first problem, you went down 8 and over 1 to your next point. Going down means you have a negative slope. -8/1 is 8. Your y intercept is where the line meets the y axis. The line meets the y axis at -4.

The line meets a new point every time it goes over 1 and up 2. Rise over run means 2/1. The line goes up so the slope is positive. The line meets the y axis at 3

Answer:

Step-by-step explanation:

a) Out of 5, 1 only one is wrong. So number of questions answered correctly is (4/5)

To find the percentage, multiply (4/5) by 100

    \(\sf \dfrac{4}{5}*100 = 4* 20 = 80 \%\)

b) It is not possible to find the actual score because we don't know how many questions were there actually and the score for each question.

Answer:

jajajjajaja

Step-by-step explanation:

sdfgsdfgsdfg

Answer: it is linear because no bumps.

Step-by-step explanation:

Answer:

(D) ab + bc =ad

    ab-ad = -bc

    a(b-d) =bc

     a = bc / b-d

(e) The Pythagoras Theorem states that in a Right angled triangle the {hypotenuse}^2 = {opposite}^2 + {adjacent}^2

Step-by-step explanation:

Answer:

15/16

Step-by-step explanation:

In a dice, there are 3 even and 3 odd numbers.

So, to calculate the required probability, we will have to calculate the probability of getting an odd number in all of them.

Probability of getting odd number in 1 dice = 3/6 = 1/2

Probability of getting odd number in 4 dice =

1/2 x 1/2 x 1/2 x 1/2 = 1/16

Therefore, probability of getting atleast one even number is 1 - 1/16 = 15/16

15/16 is the answer.

Pls mark as brainliest. Cheers

If  M(r) = 70. ] the correct answer is option 4) The output is r, when the input is 70.

Let's break down each statement to understand why the correct answer is 4.

"M is a function of r": This statement is incorrect. The notation M(r) implies that M is a function with r as its input. In other words, M depends on the value of r, and we can evaluate M for different values of r. So, M is a function, not the other way around.

"At 70, value of a function is r": This statement is also incorrect. The function M(r) evaluates to a constant value of 70 for any input value of r. It means that no matter what value of r we choose, the output of the function will always be 70. So, the value 70 is not the value of r; it is the value of the function itself.

"r is a function of M": This statement is incorrect as well. In the given context, M(r) represents the value of M for a given input value of r. So, r is the independent variable (input) and M is the dependent variable (output). The function M does not provide a way to determine r as a function of M.

"The output is r when the input is 70": This statement is correct. Since M(r) = 70, it means that when we input any value of r into the function M, the output (M(r)) will always be 70. So, in this case, when the input (r) is 70, the output is r. This implies that the output is equal to the input when the input is 70.

Therefore, the correct answer is 4) The output is r when the input is 70.

Learn more about function at https://brainly.com/question/15465275

#SPJ11

The step that can be used to draw an Inscribed Circle of A ABC is to draw the perpendicular bisectors of AB, BC, and AC that pass through point D

Inscribed Circle is a circle that touches each of the three sides of the triangle at exactly one point. Inscribed Circle is the largest circle that can be made in a triangle. The center of the Inscribed Circle is also the center of the triangle, that is, the point where the angle bisectors of the triangle meet.

Steps to draw an Inscribed Circle:

a. construct an angle bisector of each vertex (<ABC, <BAC, <ACB) of the triangle to determine the center of the triangle.

b. draw a line perpendicular to one side of the triangle that passes through its center.

c. draw an Inscribed Circle that passes through the point where the sides of the triangle intersect and the perpendicular from above.

As in the question, it was stated that the center of the Inscribed Circle is point D, so the step that can be used to draw an Inscribed Circle of A ABC is to draw the perpendicular bisectors of AB, BC, and AC that pass through point D

To learn more about  Circle, click here:

brainly.com/question/16941308

#SPJ4

Answer:

C.1/6

Step-by-step explanation:

yan po ung tamang sagut thank you

Answer:

Step-by-step explanation:

No solution - 2y – 3 = 5 + 2(y – 1), one solution - (1/5)f – 2/3 = – (1/5)f + 2/3, 4a – 3 + 2a = 7a – 2, infinitely many solution - [-3(n + 4) + n = -2(n + 6)], -1.7v + 2.8 = 1.4v – 3.1v + 2.8.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

If the exponent of the variable is one, then one solution.

If both sides are zero, then no solution.

And if the variable is eliminated, then the infinitely many solutions.

-1.7v + 2.8 = 1.4v – 3.1v + 2.8, it has infinitely many solutions.

4a – 3 + 2a = 7a – 2

a = -1, it has one solution.

(1/5)f – 2/3 = – (1/5)f + 2/3

f = 5/3, it has one solution.

2y – 3 = 5 + 2(y – 1)

0 = 0, it has no solution.

-3(n + 4) + n = -2(n + 6), it has infinitely many solutions.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

Step-by-step explanation:

d because you get 1.3 and u round it to D

Answer:

option d is a correct answer....

Answer:

3:9:24

Step-by-step explanation:

Answer:

105

Step-by-step explanation:36:10:1

Answer:

43, 52, 61

(adding nine each time)

Answer:

\(y=\displaystyle\frac{3}{4} x+\displaystyle \frac{1}{4}\)

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when x=0).

First, we must find the slope (m).

\(m=\displaystyle\frac{y_2-y_1}{x_2-x_1}\) where two points that fall on the line are \((x_1,y_1)\) and \((x_2,y_2)\)

Two points that are highlighted for us on the graph are (-3,-2) and (5,4). Plug these into the equation:

\(m=\displaystyle\frac{4-(-2)}{5-(-3)}\\\\m=\displaystyle\frac{4+2}{5+3}\\\\m=\displaystyle\frac{6}{8}\\\\m=\frac{3}{4}\)

Therefore, the slope of the line is 3/4. Plug this into \(y=mx+b\):

\(y=\displaystyle\frac{3}{4} x+b\)

Now, to find the y-intercept (b), our first resort would be to find it on the graph. However, on the graph, it appears ambiguous. So, we must solve it algebraically.

\(y=\displaystyle\frac{3}{4} x+b\)

Plug in the point (5,4) and solve for b:

\(4=\displaystyle\frac{3}{4} (5)+b\\\\4=\displaystyle\frac{15}{4}+b\\\\b=4-\frac{15}{4} \\\\b=\frac{1}{4}\)

Therefore, the y-intercept is \(\displaystyle \frac{1}{4}\). Plug this back into \(y=\displaystyle\frac{3}{4} x+b\):

\(y=\displaystyle\frac{3}{4} x+\displaystyle \frac{1}{4}\)

I hope this helps!

We can proved that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

Let's denote the vertices of the parallelogram as A, B, C, and D, with O as the midpoint of AC and BD.

First, we can see that triangles ABO and CDO are congruent by the Side-Side-Side (SSS) postulate, since they share side BD, and both have sides AB and CO of equal length due to O being the midpoint of BD. Therefore, angles AOB and COD are congruent, and we can denote their measure as θ.

Using the Law of Cosines in triangles ABO and CDO, we can express the squares of the diagonals AC and BD in terms of the sides of the parallelogram:

AC² = AB² + BC² - 2(AB)(BC)cosθ

BD² = AB² + BC² + 2(AB)(BC)cosθ

Adding these two equations together, we get:

AC² + BD² = 2(AB² + BC²)

which is the desired result. Therefore, we have shown that the sum of the squares of the diagonals of a parallelogram is equal to the sum of the squares of its sides.

Learn more about parallelogram at https://brainly.com/question/11645193

#SPJ11

For line 1

For line 2:

The lines are parallel if:

They are not parallel

The lines are perpendicular if:

They are not perpendicular

Answer:

The length of AC is 5 units. The length of AB is 3 units.

Step-by-step explanation:

Answer:

The breakdown of the image of the question is given below as

Concept:

To figure out the value of x, we will use the trigonometric ratio below

By substituting the values, we will have

By cross multiplying the equation above, we will have

Hence,

The final answer is

True, Field X is a dependent function on Field Y if the value of Field X depends on the value of Field Y.

In relational database theory, a dependent function is a constraint between two sets of objects related to a database. In other words, the dependency function is the boundary of two behaviors in a relationship. FD: The productivity function X → Y is called trivial if Y is part of X. In other words, the FD:X → Y dependency means that the value of Y is determined by the value of X. Two bunches of X values ​​that share the same thing must have the same Y value where Z = U - XY is the residue. In simple terms, if the values ​​of the X attributes are known (assuming they are x), then the values ​​of the Y attributes corresponding to x can be determined by looking at them in an R tuple containing x. Usually, X is called the determinant set and Y is called the correlation set. The efficient function FD: X → Y is said to be trivial if Y is part of X.

Learn more about Dependent Functions:

brainly.com/question/10719441

#SPJ11

Answer:   The equation represents a linear function because it has an independent and a dependent variable, each with an exponent of 1.

Step-by-step explanation:

The equation y = 2x - 4 is written in slope intercept form.   y is dependent on the x.

Answer:

Step-by-step explanation:

answer A

If the best fit line is nearly horizontal, it suggests no significant relationship between height and head circumference.

In this scenario, the explanatory variable is the child's height, as it is being used to predict the head circumference.

The response variable is the head circumference itself, as it is the variable being predicted or explained by the height.

To draw a scatter diagram of the data, you would plot the child's height on the x-axis and the corresponding head circumference on the y-axis. Each data point would represent a child's measurement pair.

Once all the data points are plotted, you can then draw the best fit line, also known as the regression line, that represents the overall trend or relationship between height and head circumference.

By observing the scatter diagram and the best fit line, you can determine the relationship between a child's height and head circumference.

If the best fit line has a positive slope, it indicates a positive relationship, meaning that as height increases, head circumference tends to increase as well.

If the best fit line has a negative slope, it indicates a negative relationship, meaning that as height increases, head circumference tends to decrease.

By assessing the slope of the best fit line in the scatter diagram, you can determine whether the relationship between height and head circumference is positive, negative, or nonexistent.

Learn more about nearly horizontal

brainly.com/question/32554312

#SPJ11

Answer:

24 tiles^2

Step-by-step explanation:

Length = 6

width = 4

Area = Length x width

        = 6 x 4

        = 24 tiles^2