with out using dividing powers of 10 to write three division exspressions that are each eqvilent to 35.78 / 6

Answer

x = − 4,− 10

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

Answer:

Part A: (C) 16 square inches

Part B: (C) 36 square inches

The appropriate inference procedure for this scenario will be a one-sample t-test for the mean difference in tread wear (New-Original).

Option C is correct

In this scenario,  have a single sample of paired observations, where each observation reflects the difference between two related metrics (in this scenario tread wear on the two feet of each runner), the one-sample t-test for diff is appropriate.

The null hypothesis is that there is no discernible difference between the original and new treads in terms of tread wear. (because  the mean difference is zero).

So if we  perform a one-sample t-test for diff, the company can assess whether there is evidence to support the claim that the new tread lasts longer than the original tread based on the observed differences in tread wear.

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Answer:

x=13 and y=15

Step-by-step explanation:

Let the 2 numbers be x and y

ATQ,

x+y = 28 ------ eqn.1

x-y=-2 -------- eqn.2

Adding both the equations:

x+y=28

+x-y=-2

_______

2x = 26

Therefore x=13

Now substituting the value of x in eqn. 1

x+y=28

13+y=28

Therefore y=28-13

=15

Answer:

The answer is (A) 75

Step-by-step explanation:

Answer:

A 75

Step-by-step explanation:

10*5(number of ducks that lay an egg everyday)

5*5(number of ducks that lay an egg every second day)

10*5 + 5*5

Darren's monthly payment on car loan is $210.83

Given,

Cost of the car Darren purchased = $11000

The simple interest for the car loan = 3%

Time period of loan = 5 years

We have to find the monthly payment amount:

Simple interest = PRT / 100

Where,

P = Principal amount = $11000

R = Rate of interest = 3%

T = Time period = 5 years

Now,

SI = PRT / 100

SI = (11000 × 3 × 5) / 100

SI = 110 × 3 × 5

SI = 1650

Here, the simple interest for 5 years is $1650

Now,

Total amount to be paid after 5 years = Principal amount + Simple interest

A = P + SI

A = 11000 + 1650

A = 12650

The amount to be paid after 5 years is $12650

Next,

The monthly payment amount:

Number of months in 5 years = 12 × 5 = 60 months

So,

Monthly payment amount = Total amount after 5 years / Total months in 5 years

Monthly payment amount = 12650 / 60 = 210.83

That is, the monthly payment amount on car loan is $210.83

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This is the equation of a circle is (x - 14)² + (y - 5)² = 1 with center at (14, 5) and radius 1.

Starting with the x terms:

x² - 28x

= x² - 28x + 196 - 196

= (x - 14)² - 196

And now for the y terms:

y² - 10y

= y² - 10y + 25 - 25

= (y - 5)² - 25

Substituting these into the original equation gives:

(x - 14)² - 196 + (y - 5)² - 25 + 220 = 0

Simplifying gives:

(x - 14)² + (y - 5)² = 1

This is the equation of a circle with center at (14, 5) and radius 1.

To graph this, plot the point (14, 5) and draw a circle with radius 1 around it.

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Answer:

14a + 6b

Step-by-step explanation:

To expand use distributive property. a*(b +c) =a*b +a *c

Simplifying an expression

2*(3a - 5b + 4*(a+2b) = 2*(3a -5b + 4*a +4*2b)

                                  = 2*(3a - 5b + 4a + 8b)

                                  = 2* (3a + 4a - 5b + 8b)

Combine like terms.  To combine like terms, add or subtract the coefficient of the variables. 3a and 4a   & (-5b) and 8b are like terms  

                                 = 2*( 7a + 3b)  

                                 = 2*7a + 2*3b

                                 = 14a + 6b

Hey there!

2(3a - 5b) + 4(a + 2b)

= 2(3a - 5b) + 4(1a + 2b)

= 2(3a) + 2(-5b) + 4(1a) + 4(2b)

= 6a - 10b + 4a + 8b

= (6a + 4a) - (10b + 8b)

= 6a + 4a - 10b + 8b

= 10a - 2b

Therefore, your answer is: 10a - 2b

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

1

Step-by-step explanation:

2x + 9 - 17x - 15 - x =????

2x - 17x - x + 9 - 15 = 0

- 15x - x - 16 = 0

- 16x - 16 =0

-16x = 16

x = 16 / - 16

x = 1

Answer:

X=40 (corresponding angles m parallel to n)

y=40 (vertically opposite angles are equal in size)

Answer:

D) Emerson must earn at least a 94 on his final test to earn an “A” in his class

Step-by-step explanation:

We calculate this using mean in this format:

Test Scores / # of Test ≥ 90 (which is an A)

Substitute:

(92 + 86 + 88)+ x / 4 ≥ 90

Add:

266 + x / 4 ≥ 90

Get Rid of the Denominator:

(4) 266 + x / 4 ≥ 90 (4)

Multiply:

266 + x ≥ 360

Isolate x (Subtract 266 From Both Sides):

x ≥ 94

This means that x (His final test score) has to be greater than (above) or equal to 94. A term for greater than or equal to is “at least.” Hope this helps :)

1. a function that could be used to model the data in the table. Make sure to use h for height and d for distance is d = -0.425h + 39.25

2. If the balloon is 800 meters high,  the farthest distance that you would be able to see is  48 km

3. at the  height  of  67 does the balloon have to rise for the building to be visible.

The table in the question shows a relationship between the height of a balloon and the distance away from the balloon that can be seen. Using this data, a linear function can be determined that models this relationship. The function is d = -0.425h + 39.25, where h is the height of the balloon in meters and d is the distance in kilometers. Using this function, if the balloon is 800 meters high, the farthest distance that can be seen is 48 km, which is the y-intercept of the equation.

Inversely, if a building is 16 km away from the balloon, the height the balloon must rise for the building to be visible is 67 m. This can be determined by substituting 16 for d in the equation and solving for h.   Overall, the linear function d = -0.425h + 39.25 models the relationship between the height of the balloon and the distance away from the balloon that can be seen. The equation can be used to determine the height of the balloon needed to see a certain distance or the distance away from the balloon that can be seen when the balloon is at a certain height.

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Height in meters 15 30 45 60 75 90 105 , Distance in kilometers 13.833 19.562 23.959 27.665 30.931 33.833 36.598

1. Determine a function that could be used to model the data in the table. Make sure to use h for height and d for distance.

2. If the balloon is 800 meters high, what is the farthest distance that you would be able to see? Round the answer to the nearest whole number

3. Round answer to the nearest whole number A building is 16 km away. What height does the balloon have to rise for the building to be visible?

The question asks us to prove that if X and Y are Bernoulli random variables and f : {0, 1} → {0, 1} is a function, then f(X) and Y are independent. To prove this statement, we will make use of the fact that if two random variables X and Y are independent, then the joint probability of X and Y is equal to the product of the two marginal probabilities.

The probability of X taking a value of 0 or 1 can be given as P(X = 0) = p and P(X = 1) = q. Similarly, the probability of Y taking a value of 0 or 1 can be given as P(Y = 0) = r and P(Y = 1) = s. Then, the joint probability of X and Y can be given as P(X = 0, Y = 0) = pr, P(X = 0, Y = 1) = ps, P(X = 1, Y = 0) = qr, and P(X = 1, Y = 1) = qs.

Now, if X and Y are independent, then P(X = 0, Y = 0) = pr = P(X = 0) * P(Y = 0) = p * r and similarly P(X = 0, Y = 1) = ps = P(X = 0) * P(Y = 1) = p * s, P(X = 1, Y = 0) = qr = P(X = 1) * P(Y = 0) = q * r and P(X = 1, Y = 1) = qs = P(X = 1) * P(Y = 1) = q * s. Now, if f : {0, 1} → {0, 1} is a function and f(X) and Y are independent, then the joint probability of f(X) and Y can be given as P(f(X) = 0, Y = 0) = P(X = 0, Y = 0) = pr, P(f(X) = 0, Y = 1) = P(X = 0, Y = 1) = ps, P(f(X) = 1, Y = 0) = P(X = 1, Y = 0) = qr and P(f(X) = 1, Y = 1) = P(X = 1, Y = 1) = qs.

Therefore, we can conclude that if X and Y are Bernoulli random variables and f : {0, 1} → {0, 1} is a function, then f(X) and Y are independent if and only if P(f(X) = 0, Y = 0) = P(X = 0, Y = 0) = pr, P(f(X) = 0, Y = 1) = P(X = 0, Y = 1) = ps, P(f(X) = 1, Y = 0) = P(X = 1, Y = 0) = qr and P(f(X) = 1, Y = 1) = P(X = 1, Y = 1) = qs. This concludes the proof.

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Answer:

154$

Step-by-step explanation:

Step-by-step explanation:

first, 385.14×954.3 = 367539.102

then,

50/100×367539.102

=1/2×367539.102

=1×183769.551

=183769.551

There you go :))

By Limit comparison test the series ∞∑n=11n√n²+5 converges.

To use the limit comparison test, we need to find a series whose convergence or divergence is known and that is similar to the given series.

Let's consider the series ∞∑n=11n√n²+5 and choose a series that we know converges, such as ∞∑n=1 1/n².

We can now take the limit as n approaches infinity of the ratio of the nth term of the given series to the nth term of the chosen series:

limₙ→∞ (n√(n²+5))/(1/n²)

Simplifying the expression inside the limit, we get:

limₙ→∞ (n√(n²+5))/(1/n²) = lim(n→∞) n³√(1+5/n²)/1 = lim(n→∞) n³/√(n⁶+5n⁴)

Using L'Hopital's rule, we can take the derivative of the numerator and denominator separately with respect to n to get:

limₙ→∞n³/√(n⁶+5n⁴) = lim(n→∞) 3n²/3n⁵/²= lim(n→∞) 3n¹/²)/3n⁵/²) = 0

Since the limit is finite and nonzero, the given series and the chosen series have the same convergence behavior. Therefore, since we know that ∞∑n=1 1/n² converges (by the p-series test with p=2),

we can conclude that the given series ∞∑n=11n√n²+5 also converges.

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Answer:

See below

Step-by-step explanation:

GCF of 36 and 4   is    welllll,    just  4

so 36 - 4    =     4*9 - 4 =   4 ( 9-1)       ( I THINK that is what goes here)

Answer:

pizza                 kids

3                          7

6                         14

12                        28

24                       56

48                       112

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

:)

The probability that a box of 40 light bulbs will last for 5 years is very low, due to the short mean lifetime of 2 months and the relatively high standard deviation of 0.25 months.

The mean lifetime of a particular type of light bulb is given as 2 months, and the standard deviation is given as 0.25 months. The mean lifetime represents the average time that the light bulbs will last, while the standard deviation represents how much the lifetimes of the bulbs vary from the mean.

To determine the probability that a box of 40 light bulbs will last for 5 years, we need to convert the given information into a format that we can work with. 5 years is equal to 60 months, and since we have 40 light bulbs, we can assume that the lifetimes of the bulbs are independent and identically distributed. This means that the probability of one bulb lasting for 60 months is the same as the probability of any other bulb lasting for 60 months.

Next, we need to calculate the standard deviation of the sample mean. The standard deviation of the sample mean represents how much the means of different samples of size 40 would vary from the population mean. The formula for the standard deviation of the sample mean is given by the following equation:

standard deviation of the sample mean = standard deviation of the population / square root of the sample size

In this case, the standard deviation of the population is given as 0.25 months, and the sample size is 40. Therefore, the standard deviation of the sample mean is:

0.25 / sqrt(40) = 0.0395

Now that we have the mean lifetime and the standard deviation of the sample mean, we can use the normal distribution to determine the probability that a box of 40 light bulbs will last for 5 years. We can assume that the lifetimes of the bulbs follow a normal distribution with a mean of 2 months and a standard deviation of 0.0395 months (which is the standard deviation of the sample mean).

To find the probability that a bulb will last for 60 months, we can use the following equation:

z = (x - μ) / σ

where z is the standard score, x is the value we want to find the probability for (60 months in this case), μ is the mean, and σ is the standard deviation.

Plugging in the values, we get:

z = (60 - 2) / 0.0395 = 1509.49

To find the probability corresponding to this standard score, we can use a standard normal distribution table or a calculator. The probability is extremely small (close to zero), which means that it is highly unlikely that all 40 light bulbs will last for 5 years.

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Answer:

3

Step-by-step explanation:

lxl+6=3

|x|=3-6

|x|=-2

the | | sign is the inequality sign which aignifies the +and - value

+x=-2 or -x=-2

hence x=2 or -2

A cylinder with radius 1, height 1 in 1st octant of xyz-plane, center at origin, height from z=1 to z=2 and θ from 0 to π/2.

What is cylinder ?

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.

The cylindrical coordinate conditions can be expressed mathematically as:

1≤r≤2

0≤θ≤π/2

1≤z≤2

These conditions define a cylinder with radius 1 and height 1 located in the first octant of the xyz-plane. The cylinder has its center at the origin (0,0,0) and its height extends from z = 1 to z = 2. The angle θ ranges from 0 to π/2, meaning that the cylinder is restricted to the first quadrant in the xy-plane.

A cylinder with radius 1, height 1 in 1st octant of xyz-plane, center at origin, height from z=1 to z=2 and θ from 0 to π/2.

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Answer: $804

Step-by-step explanation: 1. Set the equation to x/1200=67/100 2. Cross-multiply so you get 100x=80,400 3. Now divide both sides by 100 to get x=804 which is your final answer 4. Put the dollar sign in front to denote units.

Answer:

Total number of test: 5 finished test + 2 (final exam) = 7 total exams

Isabella needed total score: 80 (average) ×7 (no. of test) = 560

Present total score: 77 + 80 + 74 + 65 + 92 = 388

Isabella's Final Test needed Score: 560 - 388 = 172

Final Answer: 172

Answer:

I believe it is 6.

Explanation:

Assuming h means height

A means area

and b means base

if the base is 4 then what do we need to divide in order to get 4 from 24?

24 divided by 6 is 4.

there are probably better ways to do this but that's just how I did it

Using proportions, it is found that the total distance covered by him in 6 days is of 28.5 km.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The daily distance is of 2 x 2.375 km, as 1000 m = 1 km and he walks both ways. Hence, the total distance covered by him in 6 days is given by:

D = 6 x 2 x 2.375 = 28.5 km.

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Answer:

D. 16

Step-by-step explanation:

If there are 30 bones in the arms and legs and 14 facial bones you take

30 - 14 = 16.

True. The correlation coefficient (r) must also be positive, indicating a strong positive linear relationship between the two variables.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfectly negative linear relationship, a value of 1 indicates a perfectly positive linear relationship, and a value of 0 indicates no linear relationship.  If the slope (b) of ŷ is positive, it means that as the independent variable increases, the dependent variable also increases.

In addition to the above explanation, it is important to note that while a positive slope (b) of ŷ indicates a positive linear relationship between two variables, it does not necessarily mean that the correlation coefficient (r) will always be positive. For example, if there is a weak positive linear relationship between two variables, the correlation coefficient (r) may still be positive but not as strong as if there was a strong positive linear relationship. Similarly, there may be situations where the correlation coefficient (r) is positive but the slope (b) of ŷ is not positive, such as in a curvilinear relationship where the relationship between the two variables is not linear.

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