If Tom walking rate is 2.5meters per sec how far can tom walk in 30 sec



help​

The correct answer is 64.87 inches to 75.13 inches.

To find the middle 80 percent of heights, we need to find the values of x that correspond to the 10th and 90th percentiles of the normal distribution with mean 70 inches and standard deviation 4 inches.

Using a standard normal table or calculator, we can find that the z-score corresponding to the 10th percentile is -1.28 and the z-score corresponding to the 90th percentile is 1.28.

So,

x = μ + zσ

x1 = 70 + (-1.28)(4) = 64.88

x2 = 70 + (1.28)(4) = 75.12

Therefore, the middle 80 percent of heights is between 64.88 inches and 75.12 inches, or approximately 64.87 inches to 75.13 inches.

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Step-by-step explanation:

Area of a circle = πr^2 = π(7)^2 = 49πm^2.

Answer:

153.94 meters

Step-by-step explanation:

A= \(\\\pi\)\(r^2\)

\(A=\pi \\\)\(7^2\\\)

\(7^2 = 49\)

\(\pi\) x \(49 = 153.94\)

Answer:

Step-by-step explanation:Your calculations indicate that you will need 20.8 cubic yards of concrete for a slab floor. Which of the following quantities would be the best amount to order accounting for waste

Answer: yes

Step-by-step explanation:

Answer:

I think so

Step-by-step explanation:

I think all numbers are technically natural

We have that, based on the system of the module, by sending Nelson 2ec (mod n), Eve can use her system to find m without ever sending him c.

Naive Nelson's RSA system works using the equation c = me (mod n), where c is the recorded text, m is the message, e is the recorded exponent, and n is the public modulus. Therefore, to find m, Eve needs to solve the equation 2ec = me2 (mod n). Since 2e and m2 are known values, Eve can calculate more:

m = 2ec / m2 (module n)

So by sending Nelson 2ec (mod n), Eve can use her system to find m without ever sending him c.

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The number of binder on the bookshelf is one

The given parameters are:

Width of the bookshelf = 31 3/4 inches

Width of the binders = 28 inches

From the question, we understand that the binders are stacked side by side

This means that the quotient of the width of the bookshelf and the width of the binder will give the number of binders

So, we have

Number of binders = Width of the bookshelf/Width of the binders

This gives

Number of binders = (31 3/4)/28

Evaluate the quotient

Number of binders = 1.13

Approximate

Number of binders = 1

Hence, there is only one binder on the bookshelf

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The results of given question's parts based on hypothesis testing.

a) Null and Alternative hypothesis

H₀ : p = 0.8

H₀ : p = 0.8 Hₐ : p < 0.8

b) test statistic (z value ) is Z = -2.25.

c) P- value ( Z꜀ ) is - 1.64

d) Rejected the null hypothesis.

We have given that

Sample size, n = 900

Hypothesis population proportion, p₀ = 0.80

Sample proportion , p-hat = 0.77

favourable cases, X = 693

significance level, α = 0.05

a) The following null and alternative hypothesis for population proportion needs to be tested :

H₀ : p = 0.8

Hₐ : p < 0.8

This is corresponding to a left tailed test for a z test for one population will used .

c) we have given that, Significance level is α=0.05 and the critical value for a left tailed test is Z꜀ = - 1.64

so, the rejection region for left tailed test R = { Z Z<- 1.64 }

b) Z- statistic value :

Z = (p-hat - p₀)/√p₀(1-p₀)/n

=> Z = ( 0.77 - 0.8 )/√0.8×0.2/900

=> Z = -2.25

d) Decision about Null hypothesis,

Since, it is observed that Z = - 2.25 < Z꜀ = - 1.645 it is then concluded that the null hypothesis is rejected. Reject the null hypothesis. There is not enough evidence to conclude that the percentage of infants who receive immunization s is less than 80%.

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The volume of the snowball is decreasing at a rate of approximately 5.4 cm³/min when the radius is 12 cm.

The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius. To find the rate of change of the volume with respect to time, we need to take the derivative of this formula with respect to time. Using the chain rule, we get:

dV/dt = (4/3)π(3r²)(dr/dt)

where dV/dt is the rate of change of the volume with respect to time and dr/dt is the rate of change of the radius with respect to time.

Substituting the given values, we get:

dV/dt = (4/3)π(3(12)²)(-0.3)

= -241.9π cm³/min

Since the rate of change of volume cannot be negative, we take the absolute value of the result to get:

|dV/dt| = 241.9π cm³/min ≈ 759.8 cm³/min

Therefore, the volume of the snowball is decreasing at a rate of approximately 5.4 cm³/min when the radius is 12 cm.

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The value of the integral ∫[0,+∞] xe^(-x^2) dx is equal to 1/2.

To evaluate this integral, we can start by making a substitution. Let's substitute t = x^2. Then, we have dt = 2xdx. Rearranging this equation, we get dx = dt/(2x).

Now let's rewrite the integral using the substitution:

∫[0,+∞] xe^(-x^2) dx = ∫[0,+∞] xe^(-t) (dt/(2x)) = 1/2 ∫[0,+∞] e^(-t) dt.

The integral on the right-hand side is a well-known integral, which represents the area under the curve of the exponential function \(e^(^-^t^)\). This integral converges and equals 1. Therefore, we have:

∫[0,+∞] xe^(-x^2) dx = 1/2 ∫[0,+∞] e^(-t) dt = 1/2.

In conclusion, the value of the given integral is 1/2.

This result can be obtained by recognizing the integrand as the derivative of the Gaussian function. The Gaussian function, also known as the bell curve or normal distribution, has a standard form of e^(-x^2). Integrating this function with respect to x would yield the error function, which does not have an elementary closed-form expression. However, by using the given substitution and realizing that the derivative of x^2 is 2x, we simplify the integral and transform it into a well-known integral of e^(-t) with respect to t, which evaluates to 1. Thus, the value of the original integral is 1/2. This technique of substitution is a common approach in solving integrals involving exponential functions.

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Y= 2.5x equation represent their relationship .

An equation is a formula that is express the equality of two expressions ,by the connecting them with the equal sign .

The process of equting one thing with another is called the equation of science with objective .

The equation is representing direct proportion is, by the connecting them with in the equal sign.

y = kx ← k is the constant of proportion

Here k = 2.5 , thus

y = 2.5x ← equation of proportion.

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Answer:

C) 15/y

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

18.06

Step-by-step explanation:

7+6=13

34+38=72

13 IS 18.06 PERCENT OUT OF 72.

Answer:

Percentanges are factors so

41 Women + 44 Men = 85 shoppers

7 Women + 6 Men = 13 Online shoppers

13 out of 85 13/85 = 15% of total people surveyed shop online

Step-by-step explanation:

Hope this helps! BH

Answer:180.5

Step-by-step explanation:

9.5 x 19

361/2=180.5

the probability that a positive integer less than 100 picked at random has all distinct digits is 90.

He has 99 positive integers less than 100.

The integers that do not have all distinct digits have the same digit twice.

11, 22, 33, 44, 55, 66, 77, 88, 99

There are 9 integers that do not have distinct digits, therefore there are 99-9 integers that do.

Probability is without a doubt how probable something is to show up. whenever we are uncertain about the final results of an occasion, we can talk about the possibilities of sure outcomes and how probable they are. The analysis of events governed by opportunity is referred to as records.

A chain of moves in which the results are usually unsure. The tossing of a coin, selecting a card from a deck of playing cards, throwing a cube. occasion. it is a single final results of an experiment. Getting a Heads whilst tossing a coin is an event.

Simple probability is the calculation of an outcome or the chance of an event ever taking place. coverage companies use possibility statistics to determine the possibilities of having to pay out a declare. A simple chance is calculated by way of dividing a particular outcome through all of the feasible outcomes.

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Ka and Kb are both acid-base equilibrium constants, but they apply to different types of reactions. Ka (acid dissociation constant) is used to describe the dissociation of an acid in water, while Kb (base dissociation constant) is used to describe the dissociation of a base in water.

Specifically, Ka is a measure of the strength of an acid in terms of how easily it donates a proton (H+) to a solvent like water. A higher Ka value indicates a stronger acid, while a lower Ka value indicates a weaker acid. Kb, on the other hand, is a measure of the strength of a base in terms of how easily it accepts a proton (H+) from a solvent like water. A higher Kb value indicates a stronger base, while a lower Kb value indicates a weaker base. There is a mathematical relationship between Ka and Kb for conjugate acid-base pairs, which are molecules or ions that differ by the presence or absence of a single proton. The relationship is expressed by the equation: Ka x Kb = Kw, where Kw is the ion product constant for water, which is 1.0 x 10⁻¹⁴ at 25°C. This relationship shows that the stronger the acid, the weaker its conjugate base, and vice versa.

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Answer:

1 cause 6times1 is 5 or its 3p cause 6times5 is 30

Answer:

Step-by-step explanation:

\(\begin{array}{c|c|c|c}&D&E&Sum\\---&---&---&---\\A&10&20&30\\B&15&5&20\\C&30&15&45\\---&---&---&---\\Sum&55&40&95\\\end {array}\\\\\\1) P(E)=\dfrac{40}{95} =\dfrac{8}{19} \\\\2) P(B \cup D)=P(B)+P(D)-P(B \cap D)=\dfrac{20}{95} +\dfrac{55}{95} -\dfrac{15}{95} =\dfrac{60}{95} =\dfrac{12}{19} \\\\3) P(A \cap E)=\dfrac{20}{95}=\dfrac{4}{19} \\\\4) P(B | E)=\dfrac{P(B \cap E )}{P(E)} =\dfrac{\dfrac{5}{95} }{\dfrac{40}{95} } =\dfrac{5}{40}= \dfrac{1}{8} \\\\5) P(D|E)=0\)

Answer:

13,000

_____

4%

I'm sorry if this is incorrect

The probability that Keith will be in the desk closest to the door is 1/720.

The probability that Keith will be in the desk closest to the door can be determined by considering the total number of possible arrangements and the number of favorable arrangements where Keith is in the desired desk.

To calculate the total number of possible arrangements, we need to find the number of ways to arrange 7 desks in a circle. The number of ways to arrange objects in a circle is given by (n-1)!, where n is the number of objects. In this case, there are 7 desks, so the total number of possible arrangements is (7-1)! = 6!.

Next, we need to determine the number of favorable arrangements where Keith is in the desk closest to the door. Since the circle is symmetrical, there is only one desk closest to the door. Therefore, Keith can only be in one specific desk.

So, the probability that Keith will be in the desk closest to the door is given by the number of favorable arrangements divided by the total number of possible arrangements.

Probability = Number of favorable arrangements / Total number of possible arrangements = 1 / 6!

To calculate the probability, we can simplify the expression:

Probability = 1 / (6 x 5 x 4 x 3 x 2 x 1) = 1 / 720

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Answer:

its decreasing

Step-by-step explanation:

even though its going up while going away from x=0 you have to look at it left to right and as you do its lowering y's value, stopping and starting to increase at x=1

Answer:

Step-by-step explanation:

im so sorry i dont no this answer

Answer:

1. 7.5

2. 0.75

Step-by-step explanation:

1. 10% equals 0.10. "Of" means multiply.

0.10 x 75 = 7.5 ---> you can move 75's decimal point one place to the left

2. 1% = 0.01

0.01 x 75 = 0.75 ---> or move the decimal place two times to the left

#1

\(\\ \sf{:}\dashrightarrow 10\%\:of 75\)

\(\\ \sf{:}\dashrightarrow 0.10(75)\)

\(\\ \sf{:}\dashrightarrow 7.5\)

#2

\(\\ \sf{:}\dashrightarrow 1\%\;of\75\)

\(\\ \sf{:}\dashrightarrow 0.01{75)\)

\(\\ \sf{:}\dashrightarrow 0.75\)

The measure of angle ABC is given as follows:

m < ABC = 145º.

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

In a parallelogram, we have that the opposite angles are supplementary.

The opposite angles for this problem are given as follows:

Hence the measure of angle ABC is given as follows:

m < ABC + 35º = 180º.

m < ABC = 145º.

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Answer:

Step one

Step-by-step explanation:

she forgot to do -4×-3 in the parentheses

Of the four variables, employee number, pay rate, hire date, and sex, the "Sex" variable is the best fit to use as a dummy variable.

The variable "Sex" is the best fit to use as a dummy variable. A dummy variable is used to represent a categorical variable with a numerical value, such as 0 or 1. In this case, "Sex" is a categorical variable with two categories (male and female) and can be transformed into a dummy variable with values 0 or 1 to represent the categories. The other variables, Employee Number, Pay Rate, and Hire Date, are not categorical variables and would not be appropriate to use as dummy variables.

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Answer:

fonite is amzing

Step-by-step explanation:

Answer:

so remember that percent means parts out of 100

10%=20/100=2/10

Here's a fun restaurant tip

remember that 10%=1/10 or just move the decimal place one over to the left

20% is twice of that so

58

10% of 58 is 5.8

20% is twice of 10% of 58

20% is twice of 5.8=11.6

tip is 11.6

then add add that to 58

58+11.6=69.6

cost is $69.6

Step-by-step explanation:

The domain and codomain of the function f(n) = n^2 + 1 are both the set of integers. The range of the function is all positive integers (including zero).

To find the domain, codomain, and range of the function f(n) = n^2 + 1:

1. Domain: The domain is the set of all possible input values for the function. In this case, since the function is defined for "the set of integers," the domain is the set of all integers.

2. Codomain: The codomain is the set of all possible output values for the function. In this case, the function is defined as f(n) = n^2 + 1, where n is an integer. Therefore, the codomain is also the set of integers.

3. Range: The range is the set of all actual output values that the function produces for the given inputs. To find the range, we can substitute various integer values for n and observe the corresponding outputs. Since the function is defined as f(n) = n^2 + 1, the smallest possible output value is 1 (when n = 0), and there is no upper limit for the output. Hence, the range is all positive integers (including zero).

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The value of the product expression 0.67 * 0.3 is 0.201 and the value of the quotient expression 0.27/0.03  is 0.9

The product expression is given as:

0.67 * 0.3

Express 0.67 as 0.30 + 0.37

So, we have:

0.67 * 0.3 = (0.30 + 0.37) * 0.33

Apply the distributive property of equation.

So, we have:

0.67 * 0.3 = 0.30  * 0.3 + 0.37 * 0.3

Evaluate the product

0.67 * 0.3 = 0.09 + 0.111

Evaluate the sum

0.67 * 0.3 = 0.201

Hence, the value of the product expression 0.67 * 0.3 is 0.201

The quotient expression is given as:

0.27/0.03

Express 0.27 as 0.12 + 0.15

So, we have:

0.27/0.03 = (0.12 + 0.15)/0.3

Apply the distributive property of equation.

So, we have:

0.27/0.03 = (0.12)/0.3 + (0.15)/0.3

Evaluate the quotient

0.27/0.03 = 0.4 + 0.5

Evaluate the sum

0.27/0.03 = 0.9

Hence, the value of the quotient expression 0.27/0.03  is 0.9

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Answer:

30

Step-by-step explanation:

2(a + 8)

Let a = 7

2(7 + 8)

Using PEMDAS, lets add first because this is inside the parentheses.

2(15)

Now multiply,

30

Answer:

You replace the a with 7.

2(a + 8)

We solve the brackets (according to the BODMAS rule) and simplify.