A train travels 625 kiy north in 15 hours. What is the bus's velocity?

Answer:

If you change the order of the numbers when adding or multiplying, the result is the same. Use the commutative properties to rewrite the following expressions: Use the commutative property of addition to change the order. Use the commutative property of multiplication to change the order. Use the commutative properties to rewrite the following:

Step-by-step explanation:

9514 1404 393

Answer:

  30°, 60°, 90°

Step-by-step explanation:

The value of x = 10 is correctly found. Then the angles are ...

  3x = 3(10) = 30°

  7x -10 = 7(10) -10 = 70 -10 = 60°

  and the right angle: 90°

The angles shown in figure 5 are 30°, 60°, 90°.

_____

Additional comment

The answer choices make no sense, as none of them has a sum of 180°. The entire point of the exercise is that the sum of angles in a triangle is 180°.

To approach this type of problem, you have to make a couple of reasonable assumptions - first, that each worker works at the same pace, and second, that the effort to build each wall is the same.

Next, figure out how much effort is required to build one wall. The effort is measured in “working days”. So, how many days does one worker need to build one wall, or how many workers would be required to build one wall in one day? We can calculate this by dividing the 25 worker days used to build five walls by the number of walls (5). So we need five worker days per wall.

(5 workers) x (5 days) = 25 worker-days;

25 worker days/5 walls = 5 worker days per wall.

With 100 workers, it will take five days to build 100 walls. Each worker will build one wall in 5 days. So it will also take 5 days for all 100 workers to build all 100 walls.

100 x 5 = 500 worker days;

500 worker-days / 100 workers = 5 days (answer)

In the context of hypothesis testing, a test statistic is; c. A value, determined from sample information, used to test the null hypothesis.

Hypothesis testing is defined as the method that is used to find the probability of the hypothesis to be proved in the future on the basis of the small population sample. The null hypothesis is said to be a hypothesis where no important difference between the random variables

The test statistic is defined as a value that is computed from the sample data that is used when making a decision about whether or not to reject the null hypothesis.

Looking at the options and based on the definitions above, option C adequately describes the test statistic.

Read more about Hypothesis Testing at; https://brainly.com/question/15980493

#SPJ1

The formula which shows how to calculate the number of tires, t, needed if they produce c cars per day is t = 5c. option D

Total tires needed by each car = 4 + 1

= 5

Total number of tires, t needed for c cars.

Number of tires needed, t = Total tires needed by each car × Number of cars produced per day

t = 5 × c

t = 5c

For instance,

if 5 cars are produced per day

Number of tires needed, t = Total tires needed by each car × Number of cars produced per day

t = 5c

= 5 × 5

t = 25 tires

Therefore, the formula which shows how to calculate the number of tires, t, needed if they produce c cars per day is t = 5c. option D

Learn more about equation:

https://brainly.com/question/2972832

#SPJ1

Answer:

it would be 3

Step-by-step explanation:

because when you do 5×3=15 then +12= which gives you 27 and then do 3×3=8 then +18=which also gives you 27.

The volume of medication that should be administered as per the prescribed dosage of 50 mg IM dose of a medication available in 75 mg/mL concentration is 2/3 mL.

The given medication is available as 75 mg/mL and the dosage prescribed is 50 mg IM dose. We need to calculate the number of milliliters that should be administered.ML should be administered is as follows:Volume (mL) = Dose (mg) / Concentration (mg/mL)Substituting the values, we get;Volume (mL) = 50 mg / 75 mg/mLWe can simplify this expression by dividing 50 mg by 75 mg/mL. This can be done in multiple ways. Here's one way to simplify it; 50 mg can be expressed as a fraction of 75 mg as shown below;50 mg / 75 mg = 10/15Next, we can simplify this fraction by dividing both the numerator and the denominator by 5;10/15 = 2/3.

Therefore, the number of milliliters that should be administered = 2/3 mL.

To know more about Concentration visit:

https://brainly.com/question/3045247

#SPJ11

The standard deviation is the mean of the sum of the squared deviations between each observation and the mean. The measure of dispersion that is the easiest to compute is the interquartile range.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation implies that the values are dispersed over a wider range, a low standard deviation shows that the values tend to be close to the mean of the collection.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

Learn more about standard deviation here

https://brainly.com/question/475676

#SPJ4

The group that would best represent a sample of the study population is: C: one thousand of their customers with a current smart phone data plan.

A sample that best represents a population under study is a sample that is a subset of the entire population, that is, research subjects that are drawn as samples should reflect the general characteristics of the entire population without leaving out any part of the population. Also, a good sample should enable a researcher make generalization.

A sample that is a subset of a population and reflects the characteristics of the general population would not be biased.

Given the situation above, the population of the study are smart phone customers that use dat in the cell phone company. So, a sample that would better represent this general population would be customers that currently have a smart phone plan, since the average amount of data they use is what the cell pone company wants to ascertain.

Therefore, the group that would best represent a sample of the study population is: C: one thousand of their customers with a current smart phone data plan.

Learn more about representative sample of a population on:

https://brainly.com/question/7411255

#SPJ1

Answer:

h= 20t

d= -16t²+288

Step-by-step explanation:

The trip up the tower is modeled by a linear equation. The height of the riders, h, is equal to the constant rate multiplied by the time, t. So for the trip up, h= 20t .

The free fall down the tower is modeled by the quadratic equation d= -16t²+d₀, where d₀  represents the initial distance above the bottom of the free fall. For this ride, the initial distance is 288 feet. So for the free fall, d= -16t²+288 .

The correct answer is option c. 95%. Reaching out two standard errors on either side of the sample proportion gives us an interval of 95% confidence.

This is due to the fact that two standard errors on either side of the sample proportion will cover around 95% of the population's cases.

We can typically determine the true proportion in the population using this range of two standard errors on either side of the sample proportion.

This is because it helps us identify any potential outliers in the population and provides a range of population proportions for which we may be 95% certain.

We are 95% certain that the true percentage is capable inside the interval if we stretch out two standard errors on either side of the sample proportion.

To learn more about proportion visit:

https://brainly.com/question/1496357

#SPJ4

The solution to the expression 2x²-x will be 45.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 2x²-x. The solution of the expression at x= 5 will be calculated as,

E = 2x²-x

E = 2 x ( 5 )² - 5

E = 2 x 25 - 5

E = 50 - 5

E = 45

To know more about an expression follow

https://brainly.com/question/25968875

#SPJ1

Answer: F=122

Step-by-step explanation:

Answer:

f= 122

Step-by-step explanation:

Answer:

this is binomial

3 is the degree of this equation.

Step-by-step explanation:

h(x) = 4x - 1

given,

h(x) = -9

now,

h(-9) = 4(-9) - 1

→ -36 - 1

→ -37

hope this answer helps you dear, take care!

Answer:

x = - 2

Step-by-step explanation:

Given h(x) = 4x - 1 and h(x) = - 9, then equating right sides gives

4x - 1 = - 9 ( add 1 to both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

Answer:

A) t = -3

Step-by-step explanation:

-18 = 6t

divide both sides of the equation by 6

-18/6 = 6t/6

-18/6 = t

-3 = t

The formula for the Covid-19 case number is C(n) = C₀ * (1 + r)ⁿ, with C₀ as the initial case number. By the end of August 2020, the estimated case number would be approximately 1369.

a) To find a formula for the Covid-19 case number, we need to consider that the case number increases by 4% each month. Let's assume the case number on the first day of January 2020 as C₀.

Since the case number increases by 4% each month, the formula can be written as:

C(n) = C₀ * (1 + r)ⁿ

Where:

C(n) represents the case number at month n,

C₀ is the initial case number (1000 in this case),

r is the monthly growth rate (4% = 0.04),

ⁿ represents the number of months elapsed.

b) To find the estimated case number by the end of August 2020, we need to calculate the value of C(8) using the formula from part a.

C(8) = C₀ * (1 + r)⁸

C(8) = 1000 * (1 + 0.04)⁸

Evaluating the expression:

C(8) ≈ 1000 * (1.04)⁸

C(8) ≈ 1000 * 1.36049

C(8) ≈ 1368.56

Therefore, the estimated case number by the end of August 2020 would be approximately 1369The formula for the Covid-19 case number is C(n) = C₀ * (1 + r)ⁿ, with C₀ as the initial case number. By the end of August 2020, the estimated case number would be approximately 1360..

To learn more about growth rate visit:

https://brainly.com/question/25849702

#SPJ11

Answer:

Its a triangle to be specific its a scalene triangle

Step-by-step explanation:

Answer:

r = -6

Step-by-step explanation:

6r+7=13+7r

subtract 6r from both sides. 7r-6r= 1r or r

subtract 13 from both sides. 7-13= -6

left with -6=r or r=-6

Answer:

i also don't have the idea

The statement that is false of quadrilaterals is C. Adjacent angles in a parallelogram are complementary.

In the tapestry of geometrical relationships, adjacent angles within a parallelogram are not bestowed with the nature of complementarity. Rather, they exhibit a distinct quality known as supplementary.

Unlike the enchanting dance of complementary angles, which combine to form a sum of 90 degrees, adjacent angles in a parallelogram intertwine their measures to yield a sum of 180 degrees. The allure of the parallelogram resides in the congruence of its opposite angles, not the complementarity of its adjacent angles.

Find out more on parallelograms at https://brainly.com/question/26979961

#SPJ1

\(6\)\(x^{12}\)\(y^{11}\)\(z^{19}\)\(\sqrt{5xyz}\)

How do you define the square root of a number?

In mathematics, a square root of a number x is a number y such that y^2 = x; in other words, a number y whose square (the result of multiplying the number by itself, or y ⋅ y) is x. For example, 4 and −4 are square roots of 16, because 42 = (−4)2 = 16.

\(\sqrt{180x^{25 } y^{23} z^{39}\)

\(180 = 2*2*3*3*5\\x^{25} = x*x*x........*x 25 times\\y^{23}= y*y*y.........*y 23 times\\ z^{39} = z*z*z........*z 39 times\)

we have

square terms comes out

x is 25 times so we can write x as \((x^{12})^{2}\) \(*\)\(x\) therefore \(x^{12}\) comes out and only left inside is x

similarly \((y^{11})^{2}\) \(*y\) therefore \(y^{11}\) comes out and only left inside is y

\((z^{19})^{2} *z\) therefore \(z^{19}\) comes out and left inside is z

then the expression become

\(6\)\(x^{12}\)\(y^{11}\)\(z^{19}\)\(\sqrt{5xyz}\)

learn more about of expression here

https://brainly.com/question/17579585

$SPJ9

Answer:

Step-by-step explanation:

You want the zeros of f(x) = x³ -5x² -22x -16, given that a factor is x+2.

Using synthetic division (see attachment), we find the quadratic factor to be (x² -7x -8), so we have ...

  f(x) = (x +2)(x² -7x -8)

The quadratic can be factored using our knowledge of the divisors of -8 to give ...

  f(x) = (x +2)(x +1)(x -8)

The zeros of f(x) are the values of x that make these factors zero:

  x = -2, -1, 8 . . . . . zeros of f(x)

__

Additional comment

We know the product of binomial factors is ...

  (x -a)(x +b) = x² -(a-b)x -ab

This means we can factor the quadratic by looking for factors of 8 that have a difference of 7. We know that 8 = 8·1 and that 8-1=7, so the values of 'a' and 'b' we're looking for are a=8, b=1.

The "zero product rule" tells you a product is zero only if one of the factors is zero. That is how we know to look for the zeros of the binomial factors of f(x). For example, x+2=0 ⇒ x=-2 is a zero of f(x). (The remainder of 0 in the synthetic division also tells us f(-2)=0.)

<95141404393>

Answer:

-648

Step-by-step explanation:

Answer:

-648

Step-by-step explanation:

(10 times 10) equals 100

(-34 times 22) equals -748

then add them both together

Answer:

Move each point of the shape 3 units to right and 3 units down then connect the points u got then that is it I can’t explain it more

Step-by-step explanation:

Answer: 37923004188 I used a paper to do this.

Step-by-step explanation: Have a blessed day!

Answer: 37,923,004,200

Step-by-step explanation:

Answer:

complex

Step-by-step explanation:

Answer:

pretty sure it's compound

Step-by-step explanation:

Answer:

A) 98.94 sq. meters

B) 42 sq. meters

Step-by-step explanation:

A) So first we calculate the area for the square which is 15*20 = 300. Then we calculate the area of the circle which is pi*r^2 and in this case the radius is 4 which is 1/2 of 8. The area is approx. 201.06. Then we subtract that from 300. 300-201.06 = 98.94. The answer for A) is approx. 98.94

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

B)First we calculate the area of the whole square which is 8*6 = 48. Then the area of the garden which is 2*3 = 6. 48-6 = 42. The answer is B) is 42 then.  

Selecting a card randomly from a deck of 52 cards would give you a probability of 1 out of 13 to pick an ace

Here is the probability of drawing an ace when drawing a card at random from a standard 52-card deck:

Probability = Favorable Outcomes / Total Possible Outcomes

There are 4 aces in a standard 52-card deck, and there are 52 total possible outcomes.

Therefore, the probability of drawing an ace is 4/52 = 1/13.

To put it differently, selecting a card randomly from a deck of 52 cards would give you a probability of 1 out of 13 to pick an ace.

Read more about probability here:

https://brainly.com/question/25870256

#SPJ1

The Question in English:

In a standard 52-card deck of playing cards, what is the probability of drawing an ace when drawing a card at random?