peter weighs 8kg heavier than Ailen.If 5/7 of Peter weight is 35kg,what is their total weight?​

Answer:

194.

Step-by-step explanation:

x = (7+4√3)

x^2 =  x = (7+4√3)^2

= 49 + 48 + 56√3

= 97 + 56√3

x^2 + 1/x^2 =    97 + 56√3 + 1/(97 + 56√3)

= 194.

a) The distribution is roughly symmetric and bimodal. b) The histogram has two modes, which may be due to the different shoe size scales used for men and women in the U.S. but not in Europe.

The histogram of European shoe sizes of 269 male and female college students converted from their reported US shoe sizes is not visible based on the information provided, but the questions are clear.

a) The shape of the distribution is not visible, but it is mentioned that it is "roughly symmetric and bimodal".

b) There are two modes in the histogram. This could be because shoe sizes in the United States are defined differently for men and women, but not in Europe. As a result, the histogram of the distribution of European shoe sizes for both men and women may show two distinct peaks.

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Answer:

B.15.9

Step-by-step explanation:

Trigonometry

7.7/SIN(29)=15.9

Answer:

3.7 cm

Step-by-step explanation:

See attached worksheet

The probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution.

To calculate the probability, we need to assume that the sample proportion follows a normal distribution. This assumption holds true when the sample size is sufficiently large and the conditions for the central limit theorem are met.

First, we need to calculate the standard error of the sample proportion. The standard error is the standard deviation of the sampling distribution of the sample proportion and is given by the formula sqrt(p(1-p)/n), where p is the estimated proportion and n is the sample size.

Next, we convert the sample proportion range into z-scores using the formula z = (x - p) / SE, where x is the given proportion and SE is the standard error. In this case, we use z-scores of 0.2 and 0.42.

Once we have the z-scores, we can use a standard normal distribution table or a statistical software to find the corresponding probabilities. The probability of the sample proportion falling between 0.2 and 0.42 is equal to the difference between the two calculated probabilities.

Alternatively, we can use the z-table to find the individual probabilities and subtract them. The z-table provides the cumulative probabilities up to a certain z-score. By subtracting the lower probability from the higher probability, we can find the desired probability.

In conclusion, the probability that the sample proportion is between 0.2 and 0.42 can be calculated using the standard normal distribution and z-scores. This probability represents the likelihood of observing a sample proportion within the specified range.

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Answer:

The opportunity cost is $85.

Step-by-step explanation:

The scheduled for work = 10 hours.

Money that Amber makes by earning =  $8.50 per hour.

Total money earned by Amber = 10 ×8.50 = $85

The fee of the filed trip = $30

Now we have to find the filed trip’s opportunity cost. Since we know that the opportunity cost is the amount that is left in order to get the best alternative. Therefore, if Amber goes on a field trip then he has to forgive the earning. So, the total earning $85 is the opportunity cost.

Probability that the thread length of a randomly selected bolt is within 1.5 SDs of its mean value is 0.8664, is farther than 2.5 SDs from its mean value is 0.0124 and between 1 and 2 SDs from its mean value is 0.2728.

Probability that the thread length of a randomly selected bolt is within 1.5 SDs of its mean value P (μ - 1.5σ < X < μ + 1.5σ)= P(Z < 1.5) - P(Z < -1.5)Here, Z is the standard normal variable P(Z < 1.5) = 0.9332 (from standard normal table)P(Z < -1.5) = 0.0668 (from standard normal table) So, P (μ - 1.5σ < X < μ + 1.5σ) = 0.9332 - 0.0668= 0.8664

Thus, probability that the thread length of a randomly selected bolt is within 1.5 SDs of its mean value is 0.8664. Probability that the thread length of a randomly selected bolt is farther than 2.5 SDs from its mean value P (X < μ - 2.5σ) + P (X > μ + 2.5σ) = P (Z < -2.5) + P (Z > 2.5)P (Z < -2.5) = 0.0062 (from standard normal table)P (Z > 2.5) = 0.0062 (from standard normal table)

So, P (X < μ - 2.5σ) + P (X > μ + 2.5σ) = 0.0062 + 0.0062 = 0.0124  Probability that the thread length of a randomly selected bolt is between 1 and 2 SDs from its mean value P (μ - 2σ < X < μ - 1σ) = P (Z < -1) - P (Z < -2) + P (Z < 1) - P (Z < 2)P (Z < -1) = 0.1587 (from standard normal table)

P (Z < -2) = 0.0228 (from standard normal table)P (Z < 1) = 0.8413 (from standard normal table)P (Z < 2) = 0.9772 (from standard normal table) So, P (μ - 2σ < X < μ - 1σ) = 0.1587 - 0.0228 + 0.9772 - 0.8413= 0.2728

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Answer:

I believe the answer is C.

Step-by-step explanation:

brainliest?? if correct

Answer:

:> hello friend

Step-by-step explanation:

The function f(x) decreases in the interval (π/2, 2π), which corresponds to option c.

To find the intervals on which f(x) = 10 x + 10 cos(x) decreases for 0 < x < 2ᴫ, we need to find where the derivative is negative. Taking the derivative of f(x) gives us:

f'(x) = 10 - 10sin(x)

Setting this equal to zero and solving for x gives us:

sin(x) = 1

However, there is no solution to this equation for 0 < x < 2ᴫ, since sin(x) only takes values between -1 and 1. Therefore, f(x) is never decreasing on the given interval, and the answer is d) f(x) is never decreasing on the given interval.
To determine the intervals on which the function f(x) = 10x + 10cos(x) decreases for 0 < x < 2π, we first find its derivative, f'(x), and analyze its sign.

f'(x) = 10 - 10sin(x)

Now we need to find the critical points where f'(x) = 0:

10 - 10sin(x) = 0
sin(x) = 1

The solution for x in the given interval is x = π/2. So, we have two intervals to check for the sign of f'(x): (0, π/2) and (π/2, 2π).

1. Interval (0, π/2):
Choose a test point, e.g., x = π/4. Then f'(π/4) = 10 - 10sin(π/4) > 0, which means f(x) is increasing in this interval.

2. Interval (π/2, 2π):
Choose a test point, e.g., x = 3π/2. Then f'(3π/2) = 10 - 10sin(3π/2) < 0, which means f(x) is decreasing in this interval.

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Answer:

I believe your answer will be E, A, and C

Step-by-step explanation:

If she has 60 tickets and each ride is 3 tickets but she has been on x rides you would do 3x and subtract that from 60.

Answer:

a,c,e

Step-by-step explanation:

60 is the total number of tickets, so b and d are wrong because you are no adding to the total number of tickets.

Answer:

\(\ln 4 -2 \ln x +5 \ln y\)

Step-by-step explanation:

\(\ln \dfrac{4y^5}{x^2}\\\\=\ln(4y^5) - \ln(x^2)~~~~~~~~~~~;\left[ \log_b\left( \dfrac mn \right) = \log_b m - \llog_b n \right]\\\\=\ln 4 + \ln y^5 - 2\ln x~~~~~~~~~~~~;[\log_b m^n = n \log_b m ~\text{and}~\log_b(mn) = \log_b m + \log_b n ]\\\\=\ln 4 + 5 \ln y -2 \ln x\\\\=\ln 4 -2 \ln x +5 \ln y\)

Answer: Answer B

Step-by-step explanation: Let's begin

Answer: B in 4 - 2 in x + 5 in y

Answer:

7:50 am in the morning

Step-by-step explanation:

17:50pm = 5:50pm

first simply this by only adding 12 hours

12 hours later- 5:50 am

Then add 2 hours to get the answer

14 hours- 7:50 am in the morning.

( I think)

...

Answer:

8 minutes per customer in Restaurant One.

6 minutes per customer in Restaurant Two.

7 minutes per customer in Restaurant Three.

Restaurant Two had the fastest service.

Method:

I divided the time it took – for example – 48 divided by 6. I would do this because I wanted to find out each person took (6 people), and the amount of time it took for each person to get their food. I would use division for this problem because I am finding how much each person took out of the whole time.

Answer

The 2nd restaurant is the fastest

Step-by-step explanation:

I. Compare Time per Customers

     When 1st restuarant = 48/6 = 9

                2nd restuarant = 42/7 = 6

                3rd restuarant = 63/9 = 7

Given if in 1 min, I can serve 20 customers = 1/20 = 0.05

             in 1 min, He can serve 10 customers = 1/10 = 0.1

      See the different? I can serve better than him.

So The answer is the 2nd restuarant.

Hope that help :D

Answer:

D) \(1 < x\leq 4\)

Step-by-step explanation:

1 is not included, but 4 is included, so we can say \(1 < x\leq 4\)

Answer:

B, A, D, C

Step-by-step explanation:

Covert all units into grams.

540 g = 540 g

180,000 mg = 180g

0.8 tonnes = 800000 g

2.3 kg = 2300 g

Arrange in ascending order.

180,000 mg, 540 g, 2.3 kg, 0.8 tonnes

Answer:

The volume of shipping crate is 32 unit cubes.

Step-by-step explanation:

Given that:

Length of the crate = 4 units

Width of the crate = 2 units

Height of the crate = 4 units

Volume of shipping crate = Length * Width * Height

Volume of the crate = 4 * 2 * 4

Volume of crate = 32 unit cubes.

Hence,

The volume of shipping crate is 32 unit cubes.

Answer:

32 units

Step-by-step explanation:

The power rule for logarithms states that logb(M^p) = p * logb(M). The logarithm of a number with an exponent is the product of the exponent and the logarithm of that number.

The power rule states that logb(M^p) = p * logb(M), where M, b, and p are positive real numbers.

To understand this rule, let's consider an example. Suppose we have log2(8^2). According to the power rule, this is equivalent to 2 * log2(8).

In this case, M is 8, b is 2, and p is 2. The power rule tells us that we can bring the exponent (p) down and multiply it with the logarithm of the base (b) raised to the number (M).

So, log2(8^2) can be simplified as 2 * log2(8), which is 2 * 3 = 6.

In general, the power rule allows us to simplify logarithmic expressions by bringing the exponent down and multiplying it with the logarithm of the base.

This rule is particularly useful when dealing with complex logarithmic expressions and simplifying them to a more manageable form.

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The ground distance traveled = 400 feet / cos(11°) ≈ 391.37 feet, rounded to the nearest foot is 391 feet.

Travel is the act of moving from one place to another. It is an activity that can be undertaken for leisure, recreation, business, or educational purposes. It can involve short or long distances and can be done by foot, car, train, boat, or plane.

The diagram below illustrates the path of the airplane climbing at an angle of 11° with the ground. The ground distance the airplane has traveled when it has attained an altitude of 400 feet can be found using the formula for the length of a side of a right triangle, which is side length = opposite side length / cos (angle).
So in this case, the ground distance traveled = 400 feet / cos(11°) ≈ 391.37 feet, rounded to the nearest foot is 391 feet.

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The initial population of the bacteria culture is 200 bacteria.

The initial population of the bacteria culture can be determined using the equation for exponential growth: P(t)=P0(1+rt), where P(t) is the population after time t, P0 is the initial population, and r is the relative growth rate.

In this case, after 2 hours, the population is 600 and after 8 hours the population is 75,000. Plugging in the values, we get P0 = 600/(1+2*r), or P0 = 600/3. Thus, the initial population of the bacteria culture is 600/3 = 200 bacteria.

Exponential growth is a function of time and rate of growth. It is often used to model population growth or decay, such as in this case. The equation for exponential growth states that the population at any time is equal to the initial population multiplied by the rate of growth at each unit of time.

In this case, the rate of growth (r) is constant over the time period, so the population can be determined by putting in the values for P(t) and P0 and solving for r. Then, using the same equation, the initial population (P0) can be determined.

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Answer:

So the answer is C.

Step-by-step explanation:

Answer:

(x - 8)(x + 4)

(x + 4)(x - 8)

Step-by-step explanation:

(x - 16)(x + 2)

= x2 + 2x - 16x - 32

= x2 - 14x - 32

(x + 2)(x - 16)

= x2 - 16x + 2x - 32

= x2 - 14x - 32

(x - 8)(x + 4)

x - 8)(x + 4) = x2 + 4x - 8x - 32

x - 8)(x + 4) = x2 + 4x - 8x - 32 = x2 - 4x - 32

( 30 + x)(x - 4)

= 30x - 120 + x2 - 4x

= x2 + 26x - 120

(x + 4)(x - 8)

(x + 4)(x - 8) = x2 - 8x + 4x - 32

(x + 4)(x - 8) = x2 - 8x + 4x - 32 = x2 - 4x - 32

(x - 4)(x + 8)

= x2 + 8x - 4x - 32

= x2 + 4x - 32

Given phrase as numerical expression: 114 < -49

and the numerical expression is mathematically incorrect.

In this question, we have been given a phrase.

We need to write a numerical expression for the phrase and simplify.

Given phrase is: '114 less than -49'

We can write this in mathematical expression form as,

114 < -49

Now add 49 to both the sides.

114 +49 < -49 + 49

163 < 0

which is False.

Therefore, given phrase as numerical expression: 114 < -49

and the numerical expression is mathematically incorrect.

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The brand the girls should choose is brand A. The monthly rental fee the girls would pay is $63.41.

Which options offer the lowest upfront fee?

In order to determine the upfront fee for both options, divide the 12 month fee for each option by 12 and the 24 month fee by 24.

Option A: 12 month fee = 798.95 / 12 = 66.58

24 month fee = 1521.95 / 24 = 63.41

Upfront fee = 66.58 - 63.41 = 3.17

Option B: 12 month fee = 794.10 / 12 = 66.18

24 month fee = 1511.10 / 24 = 62.96

Upfront fee = 66.18 - 62.96 = 3.22

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The answer is a fraction the numerator is 67x+90 and the denominator is 10

Step-by-step explanation:

We can make 19 oatmeal cookies from the bag.

1 pound = 16 ounces

for making a single unit of oatmeal cookie it uses 21 ounces of oats.

We have 25 pound of oats in the bag which means we have 25 X 16 which is equal to 400 ounces of oats in the bag .

To find how much of oatmeal cookies can be made we have to divide the total amount of oats available in the bag divided by the number of ounces required in making of the single unit of oatmeal .

Therefore,

= 400 / 21

= 19.047

Which means 19 overall pieces of oatmeal can be prepared in the 25 pound of oats bag

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What is Symmetry ?

In common parlance, the term "symmetry" describes a sense of lovely proportion and balance. A more exact meaning of "symmetry" can be found in mathematics, where it typically refers to an object that is unaffected by certain transformations like translation, reflection, rotation, or scaling.

A definition of symmetry in mathematics states that whether one shape is moved, rotated, or flipped, it exactly resembles the other shape. Just fold the paper, draw one-half of the heart at the fold, then cut it out to discover that the other half exactly matches the first half when you are instructed to cut out a "heart" from a piece of paper. The heart-shaped carving is an illustration of symmetry. Symmetry is defined in mathematics as "a mirror image." Symmetry is the property of an image that remains unchanged after a shape has been rotated or flipped. There are patterns in it. You may have heard the word "symmetry" quite a bit in modern times.

(A)

Any two indices will do i!=j Paul's time and the time of the ith runner are equally distributed and independent, hence according to the Symmetry, p (Ai) = p(Aj)= 1/2. Consider the intersection of Ai and Aj. Thus, Paul is outpaced by both runners I and j. There are 6 possible permutations of their times because they are i.id, with Paul being the slowest. P(Ai intersection Aj) hence equals 1/3.

But now wе have that P(Ai intersection Aj)= 1/3 != 1/4 = P(Ai)P(Aj)

thus, events They are not autonomous, Ai and Aj. However, they are only somewhat independent given Paul's timing. Paul can be removed from the narrative if such is the case. Then, only these two runners are left. Events As a result of their independent and equal distribution of times, Aj and AI are independent.

(B)

Define Ij as the random variable indication that indicates whether or not the jth runner is superior to Paul. via means of symmetry. We know p(Ij = 1)=1/2.

We determine that 

E(N) = E(I1+I2 +.......In) 

= nE(i1) 

=nP(I1-1) 

=n/2

using the linearity of expectation.

(C)

Paul's estimated time of completion is t The probability that each runner will finish ahead of Paul is P (time of rumer I t) = F. (t)

By using part (a), we can determine that other runners' times are independent of Paull's time, and that the number of runners who finish faster than Paul has a binomial distribution with the parameters n and F. To come to the conclusion that N/T= t Binom (n, F(t)) and if we choose T at random, N/T Binom (n, F(T)),

(D)

Let's figure out Var (N)

Var (N)=F(Var (N/T)) + Var(E(N/T))

= E(n F(T) (1- F(T)) + Var(on F(T))

according to Eve's Law.

Here, we can use the uniform distribution's universality to produce

F(T) ~Unif (0, 1) = U

Hence symmetry, which states that U I-U, leads to

Var(N) = nE(U2) + n2 var (U)

=n/3 + n2/12,

where E(U2)=1/3

Var(U)=1/12.

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Answer:

p=m*9+9

So 45/4=9

9*4=36

36+9=45

Check with table

5*9=45

45+9=54

6+9=54

63+9=63

7+9=63

63+9=72

So as you can se the equation is p=9*m+9

Hopes this helps!

It is not necessary that the function decreasing over a given interval always be negative.

A function f(x) (value) decreases as x increases.

This does not mean that value of f(x) is negative.

It can have positive number as range.

Answer:

No

Explanation:

Firstly, observe the function f(x)=-2^x, this function is decreasing and negative (below the x-axis) over its domain.

At the same time, consider the function h(x)=1-x² over the interval 0 ≤ x≤1. this function is decreasing over the said interval. However, it is not negative.

Therefore, a function doesn´t need to be negative over the interval it is decreasing on.

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

Hope it helps...

Have a great day!!

Answer:

Sounds like a good idea

Step-by-step explanation:

(mark this branliest if you do)

Answer:

YES

Step-by-step explanation:

Its so fun