In the last 215 days, builders have completed 700 m2 of the alligator habitat that will eventually be 1,200 m2. How much longer will it take to complete the alligator habitat?

Answer:

Less than 4

Step-by-step explanation:

= ✓8 is equal to 2.83 which is less than 4

Answer:

1d=25m

30d=?

cross mutiply

30×25=750messages

Answer:

The equation is m = 25d

Ashley would send 750 text messages after 30 days.

Step-by-step explanation:

The equation is y = mx + b

We see that each day the number of text increase by 25, so our equation is

m = 25d

Now we ask how many text messages Ashley would send in 30 days. We need to put 30 in for d and solve it.

m = 25(30)

m = 750 text messages

So, Ashley would send 750 text messages in 30 days.

\(11 = -5x-2\\5x = -2-11\\5x =-13\\x = -13/5\)

Answer: x = -13/5

Ok done. Thank to me :>

The question requires that we have to state the hypothesis:

null hypothesis;H0: u1 < u2, the alternate hypothesis;H1: u1 > u2. The one tail test is what is to be used.

H0: u1 < u2

H1: u1 > u2

The one tail test statistic is what is to be used here

\(\sqrt{\frac{30.8}{17} +\frac{6.1}{15} }\)

= 1.49

The df = 17 + 15 - 2

= 30

test statistic = 18.9 - 17.4 / 1.49

= 1.007

We have the critical value on excel as T.INV(0.9,30)

=  1.310

E. At 0.1, we can conclude that  t-value (1.007) does not lies in the rejection area. We fail to reject the null hypothesis. Hence we conclude that the mean vacation with the unlimited plan is greater.

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(a) The exact probability that a person spends between 0 to 5 minutes waiting in line, and then 0 to 5 minutes waiting to check out is approximately 0.0424.

(b) The exact probability that a person spends at most 10 minutes total both waiting in line and checking out at this grocery store is approximately 0.406.

(c) The exact probability that a person spends at least 10 minutes total both waiting in line and checking out, but not more than 20 minutes, is approximately 0.290.

(a) To find the probability that a person spends between 0 to 5 minutes waiting in line and then 0 to 5 minutes waiting to check out, we need to integrate the joint probability density function f(x,y) over the region where 0 <= x <= 5 and 0 <= y <= 5

P(0 <= x <= 5, 0 <= y <= 5) = ∫∫ f(x,y) dy dx = ∫0^5 ∫0^5 (1/8)e^(- x/4 - y/2) dy dx

= 0.0424

(b) To find the probability that a person spends at most 10 minutes total both waiting in line and checking out, we need to integrate the joint probability density function f(x,y) over the region where x + y <= 10

P(x + y <= 10) = ∫∫ f(x,y) dy dx = ∫0^10 ∫0^(10-x) (1/8)e^(- x/4 - y/2) dy dx

= 0.406

(c) To find the probability that a person spends at least 10 minutes total both waiting in line and checking out, but not more than 20 minutes, we need to integrate the joint probability density function f(x,y) over the region where 10 <= x + y <= 20

P(10 <= x + y <= 20) = ∫∫ f(x,y) dy dx = ∫10^20 ∫(x-10)^2/4^(20-x)/2 (1/8)e^(- x/4 - y/2) dy dx

= 0.290

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The given question is incomplete, the complete question is:

Let x denote the time (in minutes) that a person spends waiting in a checkout line at a grocery store and y the time (in minutes) that it takes to check out. Suppose the joint probability density for x and y is  

f(x,y) = (1/8)e^(- x/4 - y/2)

(a) What is the exact probability that a person spends between 0 to 5 minutes waiting in line, and then 0 to 5 minutes waiting to check out? (b) Set up, but do not evaluate, an iterated integral whose value determines the exact prob- ability that a person spends at most 10 minutes total both waiting in line and checking out at this grocery store. (c) Set up, but do not evaluate, an iterated integral expression whose value determines the exact probability that a person spends at least 10 minutes total both waiting in line and checking out, but not more than 20 minutes.

To maximize profit without any restrictions, Gizmo Incorporated should produce 2 grams of flubber. If the government limits production to a maximum of 2 grams and Gizmo Inc. cannot avoid costs, they should still produce 2 grams of flubber. If Gizmo Inc. can avoid all costs by shutting down, they would choose not to produce any flubber (F = 0).

To maximize its profit, Gizmo Incorporated needs to determine the number of grams of flubber it should produce.

First, let's find the derivative of the cost function, C(F), with respect to F. The derivative will give us the rate of change of the cost with respect to the number of grams produced.

C'(F) = 12F^3 - 96F^2 + 228F - 136

Next, let's set C'(F) equal to 0 and solve for F to find the critical points.

12F^3 - 96F^2 + 228F - 136 = 0

Using a graphing calculator or factoring techniques, we can find that the critical points are F = 1 and F = 2.

To determine whether these critical points correspond to a maximum or minimum, we can use the second derivative test. Taking the derivative of C'(F), we get:

C''(F) = 36F^2 - 192F + 228

Evaluating C''(1), we find that it is positive, indicating a minimum. Evaluating C''(2), we find that it is negative, indicating a maximum.

Therefore, Gizmo Incorporated should produce 2 grams of flubber to maximize its profit.

Now, let's consider the scenario where the government limits the maximum production to 2 grams and Gizmo Inc. cannot avoid any of its costs by shutting down.

In this case, Gizmo Incorporated should still produce 2 grams of flubber because it is the maximum allowed quantity.

Now, let's consider the scenario where Gizmo Incorporated can avoid all of its costs by shutting down and choosing F = 0.

Since Gizmo Inc. can avoid all costs, it would be more profitable for them to shut down production and not produce any flubber (F = 0).

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Answer:

Step-by-step explanation:

One liter of the lotion contains 23 milligrams of the active ingredient.

If the active ingredient in a lotion uses the Strength 23 ppm (parts per million)

Definition of PPM ?

The best approach to describe the degree of performance or chemical concentration in a larger combination is in parts per million, or PPM. This could be used to describe the components of water, the faulty rate of a provider, etc. Being a ratio of two quantities of the same unit, it is theoretically a dimensionless measure that is represented as a percentage and is better suited to representing lesser concentrations of chemicals in gases, liquids, or solids. In its entire form, one part per million (ppm) is written as equation ppm=1/1,000,000=0.0001 /eq% of the whole.

1gm = 1000 mg

1 litre = 1000 ml

So that

1 ppm = 1 mg per liter

1 ppm = 0.998

23 ppm = 23 x 0.998

23 ppm = 22.958 mg / L

It is approximately equal to 23 mg / L

Round off to the nearest whole no 23 p pm = 23 mg / L

Therefore, 23 mg of active ingredient are in 1 liter of the lotion

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The appropriate test to examine the relationship between the number of steps taken and HR in a group of 1000 athletes depends on the type of data and the research question.

If the number of steps and HR are both measured on a continuous scale and the research question is to examine the strength and direction of the relationship between the two variables, then the appropriate test would be Pearson's correlation coefficient.

If either the number of steps or HR is measured on a continuous scale and the other variable is measured on an ordinal scale, then the appropriate test would be Spearman's correlation coefficient.

However, if the research question is to predict HR based on the number of steps taken, and there are other variables that may influence the relationship, then multiple regression analysis would be the appropriate test.

Chi-Square test is used to examine the association between two categorical variables. It is not appropriate for examining the relationship between a continuous and categorical variable.

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Answer:x=1/2

Step-by-step explanation:

9x-22=x+26

8x=4

X=1/2

Answer:

6

Step-by-step explanation:

9n-22=26+n

like terms

9n-n=26+22

solve

8n=48

simplify

n=6

The theoretical probability of landing on tails is P = 0.5, and out of the 250 contestants, around 125 will win the game.

The coin has two possible outcomes, so if it is a fair coin, the probability for each of the outcomes will be 0.5 (this is the theoretical probability for a fair coin, where all the outcomes have the same probability).

Now, we know that a person wins if the coin lands tails up, and the probability of landing on tails is 0.5

Then, for a sample N, we can expect that about 0.5*N of the participants win.

In this case, the sample is 250, then we can expect that:

0.5*250 = 125

Around 125 of the contestants win the game

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The Central Limit Theorem states that for a random sample of n observations drawn from any population with a finite mean μ and a finite standard deviation σ, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

To apply the Central Limit Theorem, the following condition is necessary:

1. The random sample should be selected from a population that has a finite mean (μ) and a finite standard deviation (σ).

In this case, the population mean is given as $75 and the population standard deviation is given as $5. Since both the mean and standard deviation are finite, the condition for applying the Central Limit Theorem is satisfied.

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\(a = 6(4) - 3 = 24 - 3 = 21\)

Answer:

I belive the anser is B.) 26

Not sure but i think thats it.

Step-by-step explanation:

1. The absolute value of -4.4 is 4.4

2. The opposite of 4.4 is -4.4

So, Bob's answer is -4.4

1. The opposite of -4.4 is 4.4

2. The absolute value of 4.4 is 4.4

So, Glen's answer is 4.4

Glen's answer is larger than Bob's.

Answer:

PLZ HELP

Step-by-step explanation:

Circle A is located at (6, 5) and has a radius of 4 units. What is the equation of a line that is tangent to circle A from point C (2, 8)?

x = 2

y = −0.75x + 9.5

y = 1.33x + 1.66

x = 8

a) The Probability density function of given uniform distribution example is

F(x) = 1/3.5 for 8.5 < x< 12

Uniform distribution in Statistics is a type of probability distribution in which all possible outcomes have equally likely chance to occur. It is generally represented by U(x,y) where

x ---> minimum value and y---> maximum value

Probability density function is a probability function which defines the density of continuous random variable lying between specified range

values. It is denoted by f( a<X<b)

Probability density function for uniform distribution is F(x) = 1/(b-a) for a<x<b where a and b are parameters of uniform distribution.

We have following informations,

weigh of mini iPad = 11 ounces or 50% lighter than standard iPad.

Assume that the battery of iPad is uniformly distributed between 8.5 hours to 12 hours.

this implies a = 8.5 , b = 12

F(x) = 1/(12 - 8.5) = 1/3.5 for 8.5<x<12

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#Complete Qestion :

In October 2012, Apple introduced a much smaller variant of the Apple iPad, known as the iPad Mini. Weighing less than 11 ounces, it was about 50% lighter than the standard iPad. Battery tests for the mini ipad showed that battery life is uniformly distributed between 8.5 and 12 hours. what is the value of 'a'? answer to one decimal. Assume that the battery life of the iPad Mini is uniformly distributed between 8.5 and 12 hours.

a) What is the probability that the battery life for an iPad Mini will be 10 hours or less?

Yes, the data give convincing evidence to support Phoebe's hunch. As the result of the test is a p-value that is 0.1 of less than 0.05.

The p-value is the probability of obtaining a result as extreme or more extreme given that the null hypothesis is true. The p-value is calculated by comparing the test statistic to the probability distribution under the null hypothesis.

The ratio of seniors bringing a bag lunch= 78/104 or 0.75,

while the ratio of sophomores bringing a bag lunch= 52/80 or 0.65.

This indicates that the proportion of seniors bringing a bag lunch is higher than the proportion of sophomores bringing a bag lunch.

Further, the difference between the proportions is

0.75-0.65 = 0.1,

which is a large enough difference to be considered significant.

The result of the test is a p-value of less than 0.05, which is statistically significant and indicates that the difference in the proportions is due to the different ages, and not due to chance.

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Answer: J

Step-by-step explanation: It is very cool you are in middle schopol

Answer:

∠ 3 = 105°

Step-by-step explanation:

∠ 1 and ∠ 2 are alternate angles and are congruent , then

8x - 21 = 5x + 15 ( subtract 5x from both sides )

3x - 21 = 15 ( add 21 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Then

∠ 1 = 5x + 15 = 5(12) + 15 = 60 + 15 = 75°

∠ 3 and ∠ 1 are same- side interior angles and sum to 180° , then

∠ 3 + 75° = 180° ( subtract 75° from both sides )

∠ 3 = 105°

A roll of dimes worth $5 is 6.75 centimeters long.

To find the length of a roll of dimes, we need to determine the number of dimes in the roll and then multiply it by the thickness of a single dime.

The value of a single dime is $0.10. Therefore, to have a roll worth $5, we divide $5 by $0.10:

Number of dimes = $5 / $0.10

Number of dimes = 50 dimes

Now, we need to calculate the length of the roll by multiplying the number of dimes by the thickness of a single dime and converting it to centimeters:

Length of the roll = Number of dimes × Thickness of a single dime

Given that the thickness of a single dime is 1.35 mm, we need to convert it to centimeters by dividing by 10:

Thickness of a single dime = 1.35 mm / 10

Thickness of a single dime = 0.135 cm

Now, we can calculate the length of the roll:

Length of the roll = 50 dimes × 0.135 cm

Length of the roll = 6.75 cm

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The yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.

Yield to maturity (YTM) is the total return anticipated on a bond or other fixed-interest security if the security is held until it matures. Yield to maturity is considered a long-term bond yield, but is expressed as an annual rate. In this problem, the present value (PV) of the simple loan is $1,500, the future value (FV) is $7,500, the time to maturity is five years, and the interest rate is the yield to maturity (YTM).

Now we will calculate the yield to maturity (YTM) using the formula for the future value of a lump sum:

FV = PV(1 + YTM)n,

where,

FV is the future value,

PV is the present value,

YTM is the yield to maturity, and

n is the number of periods.

Plugging in the given values, we get:

$7,500 = $1,500(1 + YTM)5

Simplifying this equation, we get:

5 = (1 + YTM)5/1,500

Multiplying both sides by 1,500 and taking the fifth root, we get:

1 + YTM = (5/1,500)1/5

Adding -1 to both sides, we get:

YTM = (5/1,500)1/5 - 1

Calculating this value, we get:

YTM = 0.3714 or 37.14%

Therefore, the yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.

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Answer:

This is true! 1x=1

Step-by-step explanation:

So let's rewrite the question again.

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

So we will solve from left to right.

-5(x-1) <- In here, we cannot add a variable to a whole number. So, we simply multiply -5 by x and -1.

-5(x - 1) = -5x+5

2x - 7x + 5 <- Here, we can subtract 2x-7x. They are both variables. But, we cannot add 5 to a variable.

2x - 7x + 5 = -5x+5

Now, here is the equation that we have so far.

-5x+5 = -5x+5

+5x        +5x

----------------------

5=5

-5 -5

0=0

So in here, we can have anything. 1, 2, 3, 4, 5, 6, 100, anything. So, the answer is:

All Real Numbers

False. The expression \((3ab - 6a)^2\) is not the same as 2(3ab - 6a).

The expression\((3ab - 6a)^2\) is not the same as 2(3ab - 6a).

To simplify \((3ab - 6a)^2\), we need to apply the exponent of 2 to the entire expression. This means we have to multiply the expression by itself.

\((3ab - 6a)^2 = (3ab - 6a)(3ab - 6a)\)

Using the distributive property, we can expand this expression:

\((3ab - 6a)(3ab - 6a) = 9a^2b^2 - 18ab^2a + 18a^2b - 36a^2\)

Simplifying further, we can combine like terms:

\(9a^2b^2 - 18ab^2a + 18a^2b - 36a^2 = 9a^2b^2 - 18ab(a - 2b) + 18a^2b - 36a^2\)

The correct simplified form of \((3ab - 6a)^2 is 9a^2b^2 - 18ab(a - 2b) + 18a^2b - 36a^2\).

The statement that\((3ab - 6a)^2\) is the same as 2(3ab - 6a) is false.

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The price of fake teeth is $4 and the price of fake spiders is $1.50.

Two equations can be derived from this question:

5x + 10y = 35 equation 1

x = 4y - 2 equation 2

Where:

x = false teeth

y = fake spiders.

In order to determine the value of y, substitute for x in equation 1:

5(4y -2) + 10y = 35

20y - 10 + 10y = 35

Add similar terms

30y - 10 = 35

Combine similar terms

30y = 45

y = 45 / 30

y = $1.50

Substitute for y in equation 2

x = 4(1.50 - 2

x = 6 - 2

x = 4

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Answer:

17,500,000 people

Step-by-step explanation:

70% can be rewritten as 0.7 time 25 million

0.7*25,000,000 = 17,500,000

The value of b in the quadratic function affects the position of the axis of symmetry by determining the position of the vertex of the graph and the direction in which the graph opens.

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Answer:

value of b

Step-by-step explanation:

Answer:

sry

"j3ewqdusifqj43we0q9d8uq-idw30oasc[k-0q239ifk09eqwi,dci-0kew-f328rufj34uewdcm3riy4hg0n38ry2vn7

Answer:

A = 18 and B = -15

Explanation:

Answer:

the answer is 1

Step-by-step explanation:

The approximate value of 275.0003×3.005 is 826.0171515. When rounding off this value, we need to consider the number of decimal places required.

Since the original numbers, 275.0003 and 3.005, have five decimal places combined, we should round off the final result to the appropriate number of decimal places.

In this case, we will round off the answer to four decimal places, as it is the least precise value among the given numbers. Thus, the rounded value of 826.0171515 would be 826.0172.

To calculate the result, we multiply 275.0003 by 3.005 using the standard multiplication method. The product of these two numbers is 825.6616015. However, since we need to consider the decimal places, we round off the value to four decimal places, resulting in 826.0172.

Rounding off the value ensures that we maintain the appropriate level of precision based on the original numbers provided.

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