If you wanted to make $1071 by investing $4176 for 4 years in an account that pays simple interest, what interest rate you would need to achieve your goal?

Out of 25,000 bulbs, a random sample of 2% or 500 bulbs were tested.  The probability of a bulb having none of the defects is 0.95.

The number of bulbs with defects can be calculated as follows

Total number of bulbs tested = 2% of 25000 = 500

Number of bulbs with only d1 defect = 40 - 25 = 15

Number of bulbs with only d2 defect = 60 - 25 = 35

Number of bulbs with both d1 and d2 defects = 25

Therefore, the total number of defective bulbs is 15 + 35 + 25 = 75.

The probability that a bulb produced by the company has none of the defects is equal to the complement of the probability that it has at least one defect.

P(no defects) = 1 - P(at least one defect)

To calculate P(at least one defect), we can use the formula for the union of events

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

where A and B are events, and P(A ∩ B) is the probability that both A and B occur.

Let D1 be the event that a bulb has d1 defect, and D2 be the event that a bulb has d2 defect. Then

P(at least one defect) = P(D1 ∪ D2) = P(D1) + P(D2) - P(D1 ∩ D2)

We know that P(D1) = 15/500 = 0.03, P(D2) = 35/500 = 0.07, and P(D1 ∩ D2) = 25/500 = 0.05.

Substituting these values, we get

P(at least one defect) = 0.03 + 0.07 - 0.05 = 0.05

Therefore,

P(no defects) = 1 - P(at least one defect) = 1 - 0.05 = 0.95

So the probability that a bulb produced by the company has none of the defects is 0.95.

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Answer:

C.) 10

Step-by-step explanation:

Answer:

Let's assume that the total number of students in the school is "x". We can create a proportion to estimate how many students would choose the aquarium based on the given information:

Number of students who chose aquarium / Total number of students in the school = Percentage of students who chose aquarium / 100

We can plug in the values we know:

80 / x = p / 100

where "p" is the percentage of students who would choose the aquarium if the entire school were surveyed.

We can solve for "x" by cross-multiplying and simplifying:

8000 = px

x = 8000 / p

Now, we need to estimate the value of "p". We can do this by finding the average percentage of students who chose the aquarium, science center, planetarium, and farm:

(80 + 60 + 30 + 40) / x = (210 / x) = Average percentage of students who chose an attraction

This tells us that, on average, 210 out of every "x" students would choose one of the attractions. We can estimate that a similar percentage of the entire school would choose the aquarium:

p / 100 = 80 / 210

p = 38.1

So, we can estimate that approximately 38.1% of the students in the whole school would choose the aquarium. To find the estimated number of students who would choose the aquarium, we can plug in this value for "p" in our original proportion:

80 / x = 38.1 / 100

Cross-multiplying and solving for "x", we get:

x = 209.71

Rounding to the nearest whole number, we can estimate that approximately 210 students in the whole school would choose the aquarium.

Step-by-step explanation:

Answer:

The teacher surveyed a total of:

80 + 60 + 30 + 40 = 210 students.

If we assume that the sample of 210 students surveyed is representative of the entire population of 1000 students at Lake Middle School, we can use the relative frequency of students choosing the aquarium in the sample to estimate the number of students in the whole school who would choose the aquarium.

The relative frequency of students choosing the aquarium in the sample is:

80/210 = 0.38

This means that approximately 38% of the students in the sample chose the aquarium.

To estimate the number of students in the whole school who would choose the aquarium, we can multiply the relative frequency by the total number of students at the school:

0.38 x 1000 = 380

Therefore, the teacher can estimate that approximately 380 students out of 1000 at Lake Middle School would choose the aquarium for a field trip.

Answer: (4.01, -3.05)

Step-by-step explanation:

Use the midpoint formula (x1+x2/2,y1+y2/2)

-3.1 + -4.92 /2 =4.01

-2.8 + -3.3 /2 = -3.05

(4.01, -3.05)

The solutions of the equation of the graph is -4 and 2.

An placement of values to the uncertainties that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root. An equation's solution set is the collection of all possible solutions.

We know that the solution of the equation is determined using the graph by obtaining the point of intersection of the equation.

In the given graph the point of intersection of the two equations are at x = -4 and x = 2.

Hence, the solutions of the equation of the graph is -4 and 2.

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The complete question is:

Answer: To factor the expression -14 - (-8) completely using the distributive law, we need to simplify it first.

Remember that when we subtract a negative number, it is equivalent to adding the positive number. Therefore, -(-8) is the same as +8.

So the expression becomes:

-14 + 8

To factor it further using the distributive law, we can rewrite the addition as multiplication by distributing the -14 to both terms:

(-14) + (8) = -14 * 1 + (-14) * 8

This can be simplified as:

-14 + 8 = -14 * 1 + (-14) * 8 = -14 + (-112)

Finally, we can add the two negative numbers to get the result:

-14 + (-112) = -126

Therefore, the expression -14 - (-8) factors completely as -126.

Answer:

Here's What you do:

There's a picture attached on how a perpendicular lines should look like.

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

This table shows the frequency of each number obtained after throwing the die 35 times

To prepare a frequency table based on the numbers obtained from throwing a die 35 times, we can list the numbers from 1 to 6 and count the frequency of each number.

Numbers: 1, 2, 3, 4, 5, 6

Frequency: 5, 14, 6, 4, 5, 1

Based on the given numbers, the frequency table would look like this:

Number   | Frequency

1                      5

2                     14

3                      6

4                      4

5                      5

6                       1

This table shows the frequency of each number obtained after throwing the die 35 times.

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Answer:

m = 2

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug our coordinates into the slope formula and solve for m:

m = (5 - 3)/(4 - 3)

m = 2/1

m = 2

Answer:

Step-by-step explanation:

Let the points be A and B

A( 3 , 3 ) -----> ( x1 , y1 )

B(4 , 5 ) ------>( x2 , y2 )

Now,

finding the slope,

Slope =\( \frac{y2 - y1}{x2 - x1} \)

\( = \frac{5 - 3}{4 - 3} \)

\( = \frac{2}{1} \)

\( = 2\)

Hope this helps...

Good luck on your assignment..

The number of street lights that will be needed is 3 street lights.

From the information, it was stated that the city places street lights at equal intervals along a city street beginning 3/8 mile from one end of the street. If the street is 7/8 mile long,

The number of street lights needed will be:

= 7/8 ÷ 3/8

= 7/8 × 8/3

= 7/3

= 3 street lights.

Therefore, the number of street lights that will be needed is 3 street lights.

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Answer:

1/5

Step-by-step explanation:

lmk if you want an explanation

Part A: Grocery Store: unit price = $1.65 (Tomatoes)

Farmer's Market: unit price  = $1.75

Part B: Grocery Store offers a better deal because the unit price is less.

Unit price is defined as the price for one of something. For example, if 10 oranges cost $50, the unit price will be $50/10 = $5 i.e.  $5 for one orange.

PART A:

Let's choose tomatoes

Grocery Store

8 tomatoes for $13.20

Unit price = $13.20/8 = $1.65

10 tomatoes for $17.50

Unit price = $17.50/10 = $1.75

Part B:

The location that offers a better deal is Grocery Store. This is because the unit price is less.

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Answer:

Step-by-step explanation:

The ratios of the numbers in the sequence 5, 10, 20, 50 are 2, 2, 2.5. That is, the ratios are not constant. Hence the sequence is not geometric.

Answer:

76K would find this fake but.....

Step-by-step explanation:

Non geometrical

With a triangle, the sum of any two side lengths must be greater than the third side length. If this is not true, then the side lengths cannot make a triangle. Let's go through each set of side lengths and determine which would and wouldn't work.

a. 3, 4, 8 - will not make a triangle

3 + 4 = 7 > 8 = false

3 + 8 = 11 > 4 = true

4 + 8 = 12 > 3 = true

b. 7, 6, 12 - will make a triangle

7 + 6 = 13 > 12 = true

7 + 12 = 19 > 6 = true

6 + 12 = 18 > 7 = true

c. 5, 11, 13 - will make a triangle

5 + 11 = 16 > 13 = true

5 + 13 = 18 > 11 = true

11 + 13 = 24 > 5 = true

d. 4, 6, 12 - will not make a triangle

4 + 6 = 10 > 12 = false

4 + 12 = 16 > 6 = true

6 + 12 = 18 > 4 = true

e. 4, 6, 10 - will not make a triangle

4 + 6 = 10 > 10 = false

4 + 10 = 14 > 6 = true

6 + 10 = 16 > 4 = true

Hope this helps!

The mean of the sampling distribution (p) and The standard error of the mean (o)  are 56 and 2 respectively.

A probability distribution that is symmetric about the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

(a) The mean of the sampling distribution (p) is equal to the population mean, which is 56.

(b) The standard error of the mean (o) is calculated as the standard deviation of the population divided by the square root of the sample size. So for a sample of 36 participants:

o = 12 / √36 = 2

(c) The distribution of the sample means (p) will be approximately normal with a mean of 56 and a standard deviation of 2. To sketch this distribution with M ± 3 SEM, we would plot a normal distribution with mean 56 and standard deviation 2, and shade the region that is 3 standard errors away from the mean on either side.

This region would capture approximately 99.7% of the data if the samples were selected randomly and independently from the population.

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Answer:

a). $10.50

b). $15.75

c). 2 POUNDS

d). 3 POUNDS

Step-by-step explanation:

Answer of  option (a)=$10.50 , (b)=$15.75 , (c)=2 pound , (d)=3 pound.

Cost is an amount to be spent to buy something or obtain something.

Given that,

The cost for one pound of candies is $3.50,

(a)  The coast For 3 pounds of candies = 3.50×3=10.50

(b) The coast For 4.5 pounds of candies = 3.50×4.50=15.75

(c) For $3.50 ,1 pound candies can be bought, so for $7 , 2 pound candies can be bought (Since 3.50×2=7)

(d) For 3.50 , 1 pound candies can be bought, so for $10.50 , 3 pound candies can be bought (Since 3.50×2=7)

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Hello!

3(x + 2) - 4x = 8 <=>

<=> 3x + 6 - 4x = 8 <=>

<=> -x + 6 = 8 <=>

<=> -x = 8 - 6 <=>

<=> -x = 2 <=>

<=> x = -2

Good luck! :)

Answer: [A] addition property of equality

Step-by-step explanation:

    Mitch used the addition property of equality because he added 43 to both sides of the equation.

         75r - 43 = 332

         43 + (75r - 43) = (332) + 43

         75r = 375

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The range of the function on the graph would be: D. all real numbers greater than or equal to 2

To obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.

So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.

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Answer:Answer:

2155.1 m^3

Step-by-step explanation:

area= pi* r ^2 * h =pi * 7^2 *14 = 2155.1 m^3

Similar triangles have the same ratio with their corresponding sides.

The ratios of the corresponding sides are:

12√5/20 = 24/8√5 = 36/12√5

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

From the figure,

We can have two similar right triangles as shown in the figure.

Triangle A and Triangle B.

Now,

Triangle A:

Base = BC

BC² = (8√5)² + 16²

BC = √320 + 256)

BC = √576

BC = 24

And,

AC² = AB² + BC²

AB² = x² - 576

AB = √(x² - 576)

Triangle B:

AB² = AD² + DB²

x² +  576 = (x - 16)² + 320

x² -  576 = x² - 32x + 256 + 320

-576 = 576 - 32x

32x = 576 + 576

32x = 1152

x = 36

So,

AD = x - 16 = 36 - 16 = 20

BD = 8√5

AB =  √(x² - 576) = √(1296 - 576) = √(720) = √(144 x 5) = 12√5

AC = 36

Now,

We can make ratios as:

AB/AD = BC/BD = AC/AB

12√5/20 = 24/8√5 = 36/12√5

We see that,

6√5/10 = 3√5/5 = 3/√5

24/8√5 = 3/√5

36/12√5 = 3/√5

The ratios are the same.

Thus,

Similar triangles have the same ratio with their corresponding sides.

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Answer:

y=1.5

x=-3.5

Our answer is (-3.5,1.5)

Step-by-step explanation:

y-5=x

x=-2-y

y=?

--------

Using substitution,

y-5=-2-y

Solve:

2y-5=-2

2y=3

y=1.5

We can enter 1.5 into the equation:

1.5-5=x

-3.5=x

a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

Dan is recycling equal weight of printers and monitors.

Step-by-step explanation:

Let,

x be the number of printers

y be the number of monitors

According to given statement;

x+y=60      Eqn 1

25x+35y=1750   Eqn 2

Multiplying Eqn 1 by 25

25(x+y=60)

25x+25y=1500    Eqn 3

Subtracting Eqn 3 from Eqn 2

(25x+35y)-(25x+25y)=1750-1500

25x+35y-25x-25y=250

10y = 250

Dividing both sides by 10

\(\frac{10y}{10}=\frac{250}{10}\\y=25\)

Putting y=25 in Eqn 1

x+25=60

x=60-25

x=35

Weight of printers = 35*25 = 875 lb

Weight of monitors = 25*35 = 875 lb

Therefore,

Dan is recycling equal weight of printers and monitors.

Answer:

F(4) = 3*4 = 12

Step-by-step explanation:

Answer:

? = 92°

Step-by-step explanation:

the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°

Answer:

C. 128 in²

Step-by-step explanation:

We know that the opposite sides of rectangles are congruent, so 8 = 2x. If we divide 8 by 2 and 2x by 2, we get x = 4.

Now, the area of a rectangle is l × w, where l = length and w = width. The dimensions of this rectangle are 8 and 16, so 8 × 16 = 128 in².

Answer:

The answer should be D according to how it is arranged

Eduardo labeled and scale his graph as,
An x-axis scale, 0–15; label, Months
y-axis scale, 0–2,000; label, Total Savings ($)
Option D is correct.

Given that,
He estimated that he’ll need about $2,000 for the vacation.
He determines he can save $125 a month.
To keep a track of his progress, he wants to create a graph to model the situation. How should Eduardo label and scale his graph is to be determined

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,
If he is saving $125 a month and has an initial saving of $125.
Total number of months = 2000 - 125 / 125
                                        =  1875 / 125
                                        = 15
So,
x-axis and y-axis can be labeled as total months and total saving respectively.

Thus,
An x-axis scale, 0–15; label, Months
y-axis scale, 0–2,000; label, Total Savings ($)
Option D is correct.

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Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.

Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.

Therefore, we can write the volume of the box as

:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.

Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:

527 = constant × dh/dt

We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:

V = l × w × hV = 17 × 10 × hV = 170h

We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:

527 = constant × 6 cm

constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get

-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min

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