A train travels 150 km in the same time that a plane covers 525 km. If the speed of the plane is 20 km per hr less than 4 times
the speed of the train, find both speeds.

Answer:

76 cases

Step-by-step explanation:

original 51 plus the 21 new is equal to 76 total

Answer:

56.25

Step-by-step explanation:

divided 22.50 in half to get 1/5 then times that 1/5 by 5 to get the answer

Answer:

The LCD is 3x²

The other two denominators can be factors of 3x²

Step-by-step explanation:

To get the equivalent fractions, divide the original denominator into the LCD, then multiply the original numerator by the quotient.

For the first term: 1/x²

3x² ÷ x² = 3 3×1=3 The equivalent is 3/3x²

Second term: Leave it as it is.

For the third term: 15x

The implied denominator is 1

3x² ÷ 1 = 3x² 3x² × 15 = 135x²

The equivalent is 135x²/3x²

To check the validity, substitute a value for x and calculate the numbers.

For example let x = 3

The original expression becomes

1/3² + 4/3(3²) - 15(3)

1/9 + 4/27 - 45

With the LCD it is

3/27 + 4/27 - 1215/27

Answer:

3x^2(x+5)

Step-by-step explanation:

hope this helps

Answer:

16/64 simplified to lowest terms is 1/4

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 16 and 64 is 16

Divide both the numerator and denominator by the GCD

16 ÷ 16

64 ÷ 16

Reduced fraction:  

1/ 4

Answer:

1/4

Step-by-step explanation:

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 16 and 64 is 16

Divide both the numerator and denominator by the GCD

16 ÷ 16

64 ÷ 16

Reduced fraction:

1 / 4

Therefore, 16/64 simplified to lowest terms is 1/4.

Answer:

2/3 of 27=18 km

Step-by-step explanation:

Answer:

[tex]\frac{4}{25}[/tex]

Step-by-step explanation:

22/200 simpilfy is 4/25

The experimental probability that a person selected at random is going to city C is P ( C ) = 4/25 = 0.16

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the experimental probability that a person selected at random is going to city C is P ( C )

Now , the total number of people in the city = 100

The number of people going to city C = 16

So , P ( C ) = number of people going to city C / total number of people in the city

On simplifying , we get

P ( C ) = 16 / 100

P ( C ) = 4/25

P ( C ) = 0.16

Hence , the probability is 0.16

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ2

Answer: the answer is 2.64 or 264

Explanation: if you multiply 3.3 × 0.8=264 but if you mulyiply 33×8=264

Answer:

-2

Step-by-step explanation:

Answer:

(0, 3)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, when x = 0, we see that y = 3. Therefore, our y-intercept is (0, 3).

Answer:

(0,4)

Step-by-step explanation:

y intercept is where the line crosses the y axis

Answer:

4

Step-by-step explanation:

Answer:

the answer is 10832

Step-by-step explanation:

you can use a calculator

Answer:

10832

Step-by-step explanation:

Add one digit at the time (from right to left):

1 + 1 = 2

0 + 3 = 3

8 + 0 = 8

8 + 2 = 10

Now we get 10832

Answer:

a. Yes.  This provides convincing evidence that the true proportion of all attendees who ate the fish that got sick (80%) is more than the true proportion of all attendees who did not eat the fish that got sick.

b. The mistake here would have been the rejection of the Doctor's theory or hypothesis to the effect that more attendees who ate the fish got sick than those who did not eat the fish. This is a Type 1 error.   A Type 1 error occurs when a null hypothesis is rejected when it is true. On the other hand, a Type II error occurs when the null hypothesis is accepted when it should be rejected.  While a Type I error is equivalent to a false positive, a Type II error is equivalent to a false negative.

Step-by-step explanation:

Total number of attendees who ordered fish = 1,000

Sample size of the attendees who ate fish = 80

Number of attendees who ate the fish and got sick = 64 (80% or 64/80)

Sample size of attendees who did not eat fish = 60

Number of attendees who did not eat fish and got sick = 39 (65% or 39/60)

Part A: The given evidence is convincing to provide the true proportion regarding the attendees.

Part B: The error is a type 1 error in the hypothesis testing.

A type 1 error in hypothesis testing occurs when a null hypothesis is rejected when it is true.

A type II error in hypothesis testing occurs when the investigator fails to reject the null hypothesis that is actually false.  

Given that, the total number of attendees who ordered fish is 1000. The random selection for the sample size of the attendees who ate fish is 80 of which 64 people got sick.

The number of attendees who ate the fish and got sick is calculated as given below.

No. of attendees =[tex]\dfrac {64}{80}[/tex]

% of No. of attendees = [tex]\dfrac {64}{80}\times 100[/tex]

% of No. of attendees = 80%

The random selection for the sample size of the attendees who did not eat fish is 60 of which 39 people got sick.

The number of attendees who did not eat the fish and got sick is calculated as given below.

No. of attendees  = [tex]\dfrac {39}{60}[/tex]

% of No. of attendees =[tex]\dfrac {39}{60} \times 100[/tex]

% of No. of attendees = 65%

Part A

The given evidence is convincing to provide the true proportion of all attendees who ate the fish that got sick is more than the true proportion of all attendees who did not eat the fish that got sick.

Part B

The mistake here is that the doctor's theory (hypothesis) got rejected regarding the number of attendees who ate the fish got sick than those who did not eat the fish.

This error is a type 1 error in the hypothesis testing.

To know more about the type 1 and type 2 errors, follow the link given below.

https://brainly.com/question/20914617.

Step-by-step explanation:

first distribute the first equation

8(2x) - 8(14) +13 = 4x -27

16x - 112 +13 = 4x -27

then combine like terms

16x - 99 = 4x -27

subtract 4x from both sides

12x - 99 = -27

add 99 to both sides

12x = 72

divide both sides 12 to isolate the x

x = 72/12 = 6

Answer:

Step-by-step explanation:

Deje que el dinero en la cuenta de ahorros sea 'x'.

Entonces, el dinero en la cuenta después de que se aumentó = x+70

Dado :

▪︎El dinero en la cuenta después de que se aumentó es mayor que 400.

Las declaraciones dadas anteriormente se pueden escribir en una desigualdad como :

[tex] =\tt x + 70 > 400[/tex]

Resolvamos esta desigualdad :

[tex] = \tt \: x + 70 > 400[/tex]

[tex] = \tt \: x > 400 - 70[/tex]

[tex]\color{plum} =\tt x > 330[/tex]

▪︎Por lo tanto, la desigualdad es = x > 330

Answer:

Jordan

Step-by-step explanation:

Jordan 5:2 -> 10:4, 15:6   20:8  25:10  50:20  60:24  70:28

Beth  18:7->  36:14  54:21  72:28

When Both of them add 28 of BLUE paint, Jordan adds only 70 yellow paint, while Beth uses 72 yellow paint. This would make Jordan's green darker.

Answer:

HI RACHEL

Step-by-step explanation:

so you do 1 + 1 which equalls to -8

then you do 7 - 9 which qualls 67

LOOL

Answer:

E.

H0 : mu D = 0

Ha : mu d < 0

Step-by-step explanation:

The hypothesis is to test if there is a reduction in blood pressure for those who complete the program, this means if the mean difference in blood pressure (that is after - before) is less than 0. Here, the hypothesis is the alternative side while the opposite, that is, there is no difference in blood pressure before and after is the null.

This means :

H0 : μD = 0

Ha : μD < 0

You can use the definitions for null and alternate hypotheses  

The correct set of hypothesis is given by:

Option E.  [tex]H_0: \mu_D = 0[/tex]

[tex]H_a: \mu_D < 0[/tex]

There are two hypotheses. First one is  called null hypothesis and it is chosen such that it predicts nullity or no change in a thing. It is usually the hypothesis against which we do the test. The hypothesis which we put against null hypothesis is alternate hypothesis.

Null hypothesis is the one which researchers try to disprove.

Since the test is to test the effectiveness of the exercise program, thus the wish of the tester is to get the result that effectiveness is there. This will be the alternate hypothesis and the null hypothesis will be that there is no difference in the blood pressure before and after the exercise. Thus, we will test against the null hypothesis.

Since the evidence is to be found for all of the people who completed the program, thus it is hypothesis about population perimeter. The average blood pressure difference of the population is denoted by [tex]\mu_D[/tex] and that of the sample is denoted by [tex]\overline{x}_D[/tex]

Thus, we have:

Null hypothesis = the difference in average blood pressure before and after the program of the population is not changed(thus 0 is the difference) = [tex]H_0: \mu_D = 0[/tex]

Alternate hypothesis = the difference in average blood pressure is reduced(since the test is for seeing if the blood pressure is reduced or not) = [tex]H_a: \mu_D < 0[/tex]

Thus,

The correct set of hypothesis is given by:

Option E.  [tex]H_0: \mu_D = 0[/tex]

[tex]H_a: \mu_D < 0[/tex]

Learn more about null and alternative hypothesis here:

https://brainly.com/question/18831983

Answer:

Brothers Sorry I don't

Step-by-step explanation:

Please give thanks to all my answers and please mark as brilliant and please follow me

Answer:

125

Step-by-step explanation:

Answer:

Step-by-step explanation:

This would be 500 x 250/100 = 125000/100 = 1250

Answer:

Step-by-step explanation:

49t^4-25

(7t^2-5)(7t^2+5)

Answer:

the y intercept would be at (0,-6)

Answer:

whats the graph???

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

When it’s an absolute value no matter what it’s inside the braces ( “ | # | “ ) it’s a positive. While the signs outsides can stay the same

Answer:

499-350

Step-by-step explanation:

455-350=?

Answer:

[tex]Suppose~that~two~numbers~are~x~and~y.\\From~the~first~condition,\\x+y=4.........(1)\\or, y=4-x.......(2)\\From~the~second~condition,\\x^2+y^2-3xy=76\\or, (x+y)^2-2xy-3xy=76\\or, 4^2-5xy=76\\or, -5xy = 76-16\\or, -5xy = 60\\or, xy = -12\\From~eq^n~(2),\\x(4-x)=-12\\or, 4x-x^2=-12\\or, x^2-4x-12=0\\or, x^2 +2x-6x-12=0\\or, x(x+2)-6(x+2) = 0\\or,(x+2)(x-6) = 0\\i.e. x = -2 ~or ~6\\When~ x=-2, y=4-(-2) = 4+2 =6\\When~x=6, y=4-6 = 4-6 = -2\\So,~the~two~numbers~are~-2~and~6.[/tex]

Answer:

-2 and 6

Step-by-step explanation:

Mark the first number as x

and the second number as y

Since x + y = 4

y = 4 - x

// substitute the given value of y into the equation

[tex]x^{2} + y^{2}[/tex] - 3xy = 76

[tex]x^{2}[/tex] + [tex](4-x)^{2}[/tex] - 3 * x * (4 - x) = 76

[tex]x^{2}[/tex]  + 16 - 8x + [tex]x^{2}[/tex]  - 12x + 3[tex]x^{2}[/tex] = 76

[tex]x^{2}[/tex]  + [tex]x^{2}[/tex]  + 3[tex]x^{2}[/tex]  - 20x = 76 - 16

5[tex]x^{2}[/tex]  - 20x = 60

5[tex]x^{2}[/tex]  - 20x - 60 = 0

// divide both sides by 5

[tex]x^{2}[/tex] - 4x - 12 = 0

// write -4 x as a difference, this way it is faster than calculating discriminant

[tex]x^{2}[/tex] + 2x - 6x - 12 = 0

// factor out x and -6 from the expression

x (x +2) - 6 (x +2) = 0

(x - 6) * (x + 2) = 0

// there are two possible cases

1) x - 6 = 0

2) x + 2 = 0

1) x = -2

2) x = 6

// substitute the given value of x into the equation

1) y = 4 - x = 4 - (-2) = 6

2) y = 4 - x = 4 - 6 = -2

Now we get two pairs (-2; 6) and (6; -2), which are the solutions to the system

Since their sequence as the question suggests is irrelevant, the numbers are -2 and 6

Answer:

9.6

Step-by-step explanation:

Answer:

7/18

Step-by-step explanation:

4 2/3=14/3

(14/3)/12=14/36

reduces to

7/18

Answer:

1/6

Step-by-step explanation:

Answer:

-2/3

Step-by-step explanation:

rise=-2

run=3

rise/run(slope)=-2/3