Hi! having a bit of trouble with this one problem that I can't seem to solve correctly. This is an exponential and logarithmic equation problem, but I keep getting 1.74036... and apparently that isn't the answer. I'd appreciate the help!

The probability that the first two electric toothbrushes sold are defective is 0.016.

The probability of an event, say E occurring is:

[tex]P(E)=\frac{n(E)}{N}[/tex]

Here,

n (E) = favorable outcomes

N = total number of outcomes

Let X = the number of defective electric toothbrushes sold.

The number of electric toothbrushes that were delivered to a store is n = 20.

The number of defective electric toothbrushes is x = 3.

The number of ways to select two toothbrushes to sell from the 20 toothbrushes is:

[tex](\left {{20} \atop {2}} \right. )[/tex][tex]=\frac{20!}{2!(20-2)!} =\frac{20!}{2!18!} =\frac{20*19*18!}{2!*18!} = 190[/tex]

The number of ways to select two defective toothbrushes to sell from the 3 defective toothbrushes is:

[tex](\left {{3} \atop {2}} \right. )[/tex][tex]=\frac{3!}{2!(3-2)!} =\frac{3!}{2!1!} =\frac{3*2!}{1!2!} =3[/tex]

Compute the probability that the first two electric toothbrushes sold are defective as follows:

P (Selling 2 defective toothbrushes) = Favorable outcomes ÷ Total no. of outcomes

[tex]\frac{3}{190}\\ =0.01579\\=0.016[/tex]

Thus, the probability that the first two electric toothbrushes sold are defective is 0.016.

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Answer:

Y - (2,1)

X - (2,4)

W - 5,5)

V - (5,0)

Step-by-step explanation:

Translation: (x,y) → (x+7,y+5)

Coordinates:

Y(−5,−4) => (-5 + 7, -4 + 5) => (2,1)

X(−5,−1) => (-5 + 7, -1 + 5) = > (2,4)

W(−2,0) => (-2 + 7, 0 + 5) => (5,5)

V(−2,−5) => (-2 + 7, -5 + 5) => (5,0)

[tex]\cos^{4} x-\sin^{4} x\\\\=(\cos^{2} x+\sin^{2} x)(\cos^{2} x-\sin^{2} x)\\\\=\cos^{2} x-\sin^{2} x\\\\=\cos^{2} x-(1-\cos^{2} x)\\\\=2\cos^{2} x-1[/tex]

Answer:

The answer is C. 270° < ∅ < 360°

Step-by-step explanation:

Given information:

sine < 0 and tans > 0.

Quadrant where sine < 0 is either III or IV.

Quadrant where tans > 0 is either I or III.

It is Quadrant III that has both sines < 0 and tans > 0.

Answer:

its a 2640 trust me

Step-by-step explanation:

By applying the property of similar triangles, the distance Amana from point A to B walked is: B. 226 ft.

By critically observing the diagram (see attachment), we can deduce that two (2) similar triangles were formed by the First Ave. and Second Ave.

By applying the property of similar triangles, the distance Amana walked is given by:

(AB + 113)/113 = (280 + 140)/140

(AB + 113)/113 = 420/140

(AB + 113)/113 = 3

AB + 113 = 3 × 113

AB + 113 = 339

AB = 339 - 113

AB = 226 ft.

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Answer: B. 226 ft.

Step-by-step explanation:  Trust Me! I got it correct on Edge.  

The length of HJ is 3.5 cm

Two geometric figures are said to be congruent, or to be in the relation of congruence, if it is possible to superpose one of them on the other so that they coincide throughout.

Given:

AB = 3.5 cm, BC = 2.4 cm, and AC = 4.2 cm

As, ΔABC ≅ ΔHJK

So,

AB = HJ

BC = JK

AC = HK

Thus, HJ= AB = 3.5 cm

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The equation of L is L = 0.5P - W

The formula is given as:

P = 2(L + W)

Divide through by 2

0.5P = L + W

Subtract W from both sides

L = 0.5P - W

Hence, the equation of L is L = 0.5P - W

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Complete question

The formula for the perimeter of a rectangle is P=2(l+w). Solve for l.

Answer:

The mean:

data: 3,6,9,10

You first add all of the numbers together.

3+6+9+10= 28

There 4 numbers in the data set, so you divide 4 by the sum of all of the numbers.

28/4= 7

So the mean is 7.

The median:

data: 3,6,9,10

first put all of the numbers in numerical order.

3,6,9,10

Then you find the middle number in the data set.

3,6,(the middle number here),9,10

to find the middle number, do the mean of 6 and 9

The mean of 6 and 9 is 7.5

So, 7.5 is the median

another example: 3,4,7,9,13

The middle number is 7

so 7 is the median

The mode:

data: 3,6,9,10

The mode is the number that is repeated the most

in this data, there is no mode.

but in this data: 4,4,6,9,11

4 is the mode because it was repeated the most

Answer:

6.6

Step-by-step explanation:

1 kilogram to pounds is 2.2 lbs

therefore, 3kg= 2.2× 3 lbs= 6.6 lbs

Answer:

approximately 6.6 lb

Step-by-step explanation:

1 kg equals approximately 2.2 lb.

Therefore (multiplying both sides by 3) we get

3 kg equals approximately 6.6 lb

The number of people who must be surveyed if you want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults is 1691.

The true proportion of the population is not given, so we assume it to be 0.5, that is, p = 0.5.

Hence, q = 1 - p = 1 - 0.5 = 0.5.

Confidence level given = 90%.

Z-Score corresponding to 90% confidence interval (Z) = 1.645.

We are asked to find the sample size (n) when we want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults, that is, standard error (E) = 2% = 0.02.

By the formula of standard error, we know:

E = Z√[{p(1 - p)}/n].

Substituting the values, we get

0.02 = 1.645√[{0.5*0.5}/n]

or, 0.0004 = 2.706025*0.25/n

or, n = 2.706025*0.25/0.0004 = 1691.265625‬ ≈ 1691 {Since the sample size has to be a whole number}.

Thus, the number of people who must be surveyed if you want to be 90% confident that the sample percentage is within two percentage points of the true percentage for the population of all adults is 1691.

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Answer:

7.5 hours

Step-by-step explanation:

16 mph = 16 miles per hour

how much time does he spend commuting to, and returning from, work each day = 60(2) = 120 miles

120/16

= 7.5 hrs

Answer:

4 legs from the bed and 4 from the chair im guessing since not all have 4

Step-by-step explanation:

.

Answer:

36 legs

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Assuming equation:}[/tex]

[tex]\mathbf{2x + x = 3}[/tex]

[tex]\huge\textbf{Solving for the equation:}[/tex]

[tex]\mathbf{2x + x = 3}[/tex]

[tex]\mathbf{2x + 1x = 3}[/tex]

[tex]\huge\textbf{Combine the like terms:}[/tex]

[tex]\mathbf{(2x + 1x) = 3}[/tex]

[tex]\mathbf{(2x + x) = 3}[/tex]

[tex]\mathbf{2x + x = 3}[/tex]

[tex]\mathbf{3x = 3}[/tex]

[tex]\huge\textbf{Divide 3 to both sides:}[/tex]

[tex]\mathbf{\dfrac{3x}{3} = \dfrac{3}{3}}[/tex]

[tex]\huge\textbf{Simplify it:}[/tex]

[tex]\mathbf{x = \dfrac{3}{3}}[/tex]

[tex]\mathbf{x = 3\div3}[/tex]

[tex]\mathbf{x = 1}[/tex]

[tex]\huge\textbf{Answer:}[/tex]

[tex]\huge\boxed{\mathsf{x = 1}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

Brand A

Step-by-step explanation:

Comment

The question is  one of finding out what the unit cost is.

Brand A: $4.59 has a count of 40

Brand B: $3.99 has a count of 30

Brand A

unit = 4.59 / 40 = 0.115

Rounded: 0.12

Brand B

unit = 3.99 / 30 = 0.133

rounded: 0.13

Brand A even with proper rounding is the better buy

Answer:

  Brand A

Step-by-step explanation:

The cost comparison can be done a variety of ways. The most formal of solutions will calculate the cost per bag for the two brands.

The cost for 10 bags of Brand B is $3.99/3 = $1.33. The cost for 10 more bags (40 bags instead of 30) of Brand A is $4.59 -3.99 = $0.60. This is less than the $1.33 it would cost to buy 10 more bags of Brand B, so ...

  Brand A is the better buy

The cost per bag is found by dividing the cost by number of bags:

  Brand A: $4.59 / (40 bags) = $0.11475 per bag

  Brand B: $3.99 / (30 bags) = $0.133 per bag

13¢ per bag is more than 11¢ per bag, so Brand A is the better buy.

The slope of the line represented by the given equation is 0.8

From the question, we are to determine the slope of the line represented by the given equation

The given equation is

[tex]y = \frac{4}{5} x-3[/tex]

The slope-intercept form of the equation of a line is given as

y = mx + c

Where m is the slope or gradient

and c is the y-intercept

By comparing with the given equation,

m = 4/5

m = 0.8

Hence, the slope of the line represented by the given equation is 0.8

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Answer:

Standard deviation = 5.1

Mean = 13

Median = 14

Step-by-step explanation:

The sample standard deviation measures the spread of a data distribution of the sample. It is usually used to estimate the population standard deviation

The mean of a set of numbers is the sum divided by the number of terms.

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

The second part of Rita's race is about 1800 meters at a speed of 150 meters per minute.

let

Distance in second Part:

d₃ = 15 x 300

= 4500 m

d₂ = 2/5 × d₃

= 2/5 x 4500

d₂ = 1800 meters

Speed in second part:

S₂ = 1800 m / 12 min

S₂ = 150 meters per minute

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Answer: As graphed below.

Hope this helps ♥️

Answer:

4.7

Explanation:

A point is positioned at minus two, seven. At one, zero, you'll find point R. Determine the value of Y. Regarding point Q. That is 2/3 of the distance between points P. So, negative two becomes positive seven. So, we have minus twenty-seven and 1 common zero. So, if we place a line between these, we must calculate the distance. First, you should be aware that you may achieve this using the distance formula. I prefer to conceive of it as the Pythagorean Theorem. So, the distance is 3^2 and 7^2, which is D^2. So, 9+49=58. And, we'll take the square root of it. As a result, the square root of 58=D. And, you want to be 2/3 the distance between points P and B. So, divide this by 2/3. So, this is close to 5.1. But, you want to get the Y value; found the distance, 2/3 of the way. When the distance is 5.1 instead of round 7.6, we've arrived at point P. We want to be 5. 1 yard away on this line. This is point P and we want to be at point Q. Since it'll have the same slope. As a result, the slope will be 7/3. So, it'll be proportionate 7. Since the square root of fifty-eight is too large. Route 58/3 is the destination. The square root of 258 is canceled. Such that 7=3y/2. 7x2=14/3=4.7. It's by locating comparable figures.

Answer:

0.22222222222

Step-by-step explanation:

To divide two by nine, you need to use your long division skills. Unfortunately, this interface doesn't lend itself well to showing you the actual long division problem, so try to follow the steps with me.

draw a division symbol (should look like half a rectangle). Put the 9 in front of the rectangle and a 2 inside it. Make the top of the rectangle long.

Note that the result of the division 2÷9 is not an exact value and is equivalent to recurring decimal 0.22... (which has 2 as the period).

Answer:

D

Step-by-step explanation:

So you have the equation: [tex]cos(tan^-1(1))[/tex]. So let's work in order and focus on the [tex]tan^-1(1)[/tex] part first. The inverse of tan is essentially taking in the value of [tex]tan(\theta)[/tex] and returning [tex]\theta[/tex]. And the value of [tex]tan(\theta)[/tex] can be defined as [tex]\frac{sin(\theta)}{cos(\theta)}[/tex]. So if you look at the unit circle, you'll need to look for two values that are exactly the same. You'll notice when the angle is 45 degrees, the value of sine, and cosine are the exact same. They're both [tex]\frac{\sqrt2}{2}[/tex]. So the inverse of tan(1 degree) = 45 degrees. Now we can literally refer to the same point, because when finding the cosine of 45 degrees, we can just use the x-value. This gives a solution of [tex]\frac{\sqrt2}{2}[/tex]

Answer:

4th option

Step-by-step explanation:

the absolute value function always gives a positive result, however, the expression inside can be positive or negative, that is

[tex]\frac{x}{2}[/tex] = 8 or - [tex]\frac{x}{2}[/tex] = 8

solving each equation

[tex]\frac{x}{2}[/tex] = 8 ( multiply both sides by 2 to clear the fraction )

x = 2 × 8 = 16

or

- [tex]\frac{x}{2}[/tex] = 8 ( multiply both sides by 2 )

- x = 16 ( multiply both sides by - 1 )

x = - 16

then x = - 16 , x = 16

The function f(x) is shown in the graph is (a) an exponential function

From the graph, we can see that:

Only exponential functions have the above features

Hence, the function f(x) is shown in the graph is (a) an exponential function

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Answer:

5/4 or 1.25

Step-by-step explanation:

y=mx+b is the form of all linear equations

m is the slope

here m = 5/4 so the slope is 5/4 or 1.25

Answer:

- 10.6 %   per hour

Step-by-step explanation:

By 'continuous rate'   I assume you mean linear  bacteria/hour

40 000 - 47 000 = - 30 000  bacteria  in 5 hours

- 30 000 bacteria / 5 hours =   - 6000 bacteria per hour

But then you ask for percentage....so maybe you want an exponential rate

then     40 000 = 70 000 ( 1 - x)^5      

            where x = decimal percentage , 5 = years

         solve for x = 10.588 %    DECREASE  per hour      

Answer:

(f-g) (x) = 2x – 1 - log(x)

Step-by-step explanation:

f(x) = 2x – 1

g(x) = log x

We are given the two function and want to subtract g(x) from f(x)

(f-g) (x) = 2x – 1 - log(x)

Answer: 70.9 miles per hour

Step-by-step explanation:

The total distance traveled is 1188 miles (66313- 65125).

Since this was over 16.75, you'll want to divide 1188 by 16.75.

1188/16.75 = 70.9253731

And then round that off to 70.9

The fewest reported number of text messages sent, given the data is 62 (Option B)

The fewest number in a given data is simply defined as the smallest number in the data.

Considering the data given from the question, we can see that the smallest number in the data is 62

Thus, 62 is the fewest number in the data.

Therefore, the correct answer to the question is 62 (Option B)

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Complete question

The Box-and-Whisker Plot shown displays the number of text messages sent during the previous week. What is the fewest reported number of text messages sent? 62, 74, 82, 90, 99

A. 82

B. 62

C. 74

D. 90