Jose is riding his bicycle. He rides at a speed of 12 kilometers per hour fore 38.4 kilometers. For how many hours does he rides

Answer:

A. z = -2.4736

Step-by-step explanation:

n1 = 25

n2 = 25

x1 = 5500

x2 = 5850

Sd1= 550

Sd2 = 445

Null hypothesis

μ1 - μ2 = 0

Alternate

μ1 - μ2 != 0

Pooled variance = ((25-1)*550²)+((25-1)*445²)/25+25-2

= 7260000+4752600/48

= 250262.5

Pooled sd = √250262.5

= 500.26243

Test statistic

Z =

5500-5850+10/500.26243*√1/25+1/25

= -2.47357 approximately

-2.4736

Using the combination formula, it is found that the probability that you, Charles, Margaret, and Sean are chosen is:

[tex]p = \frac{1}{495}[/tex].

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this problem, 4 people will be chosen from a set of 12, hence the number of ways to choose them is:

[tex]C_{12,4} = \frac{12!}{4!8!} = 495[/tex]

The desired combination is only one, hence the probability is:

[tex]p = \frac{1}{495}[/tex].

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Answer:

X = 4x-18

Step-by-step explanation:

X = “a number”^^

Answer: 0.40 and 40%

Answer:

40%

Step-by-step explanation:

Answer:

$105.60

Step-by-step explanation:

I think...

Answer:

B = C + (C - A) = (51/50 + 51/50 - 2, 457/50 + 457/50 - 9) = (1/25, 232/25).

Step-by-step explanation:

Answer:

man thats cool

Step-by-step explanation:

11.6 ounces

330g x 1lb/454g x 16oz/1lb = 11.6 ounces

If the conversion factors are properly set up and all numbers are correct, the unwanted units cancel out leaving the units of the final answer.  (citing my source usa test prep but i worked it out.)

Answer:

25

Step-by-step explanation:

5 times 5

5x5=25

hope this helps

Answer:

24

Step-by-step explanation:

Reverse

-26/-2= 13

13+11=24

Check

24-11=13

13×-2= -26

I beleive the answer is 7.5 because -26 plus 11 = -15 then -15 divided by -2 = 7.5

this is probably wrong I didnt do it on paper

Answer:

It's 21, you are correct!!

Step-by-step explanation:

The number of centimeter squares in the scale drawing for each 1 m squared is 1.67.

The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.

Given that,

The area shaded by a maple tree is 7(¹/₂) m².

And, the area shaded in scale drawing is 12(¹/₂) cm².

The required  number of square centimeters can be found by dividing the two areas as follows,

12(¹/₂) / 7(¹/₂)

= (25/2)/(15/2)

= 25 / 15

= 5 / 3

= 1.67

Hence, the number of centimeter squares in the scale area is 1.67.

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Answer:d

Step-by-step explanation:

Answer:

no solutions

Step-by-step explanation:

Hi there!

Here is an answer:

[tex]5 + 2(3 + 2x) = x + 3(x + 1)\\11+4x=4x+3\\11=3,\;wrong[/tex]

Hope this helps)

Have a nice day!

Answer:

x=4 and y=2

Step-by-step explanation:

The correct equation is,

⇒ y = - x + 3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ 4 (x - 2 + y) = 4

Now, Simplify the expression as;

⇒ 4 (x - 2 + y) = 4

⇒ x - 2 + y = 4/4

⇒ x - 2 + y = 1

⇒ x + y = 1 + 2

⇒ x + y = 3

⇒ y = - x + 3

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Answer:

288

Step-by-step explanation:

Each taco is 1.25 dollars and you are trying to figure out how many tacos he sold to do this we make an equation.

Step 1

1.25 x = 360

x =is the amount of tacos sold.

Step 2

1.25 x = 360

/1.25      /1.25

to get x on its own we need to cancel out the 1.25 so we dived because it was multiplied to the x. we did the same on the other side to balance the equation.

Step 3

x = 288

we now need to identify what x is, we can see it is 288. If we trade x for what it means it is then this is your answer  the amount of tacos sold=288

i hope this helps ;)

Answer:

19cm

Step-by-step explanation:

(chose one way)

1. way using commutativity

(3cm+4cm)+(10cm+2cm)=7cm+12cm=19cm

2. way just writing

3cm+4cm+10cm+2cm=19cm

Answer:

The probability is [tex]P(A \ge 50 ) = 0.14321[/tex]

Step-by-step explanation:

The average life span is  [tex]\pi = 8[/tex]

The sample size is n =  200

Generally we are told that average lifespan for a certain type of vehicle follows an exponential distribution

i.e  

             [tex]X \~ \ \ \ exp(8)[/tex]

Gnerally the probability distribution function for exponential distribution is

       [tex]f(x) = \left \{ {{\lambda * e^{-\lambda * x }\ \ \ x\ge 0 } \atop {0 \ \ \ \ \ \ \ \ \ \ x < 0}} \right.[/tex]

Now [tex]\lambda[/tex] is the  constant which is evaluated as

      [tex]\lambda = \frac{1}{\pi}[/tex]

=>   [tex]\lambda = \frac{1}{8}[/tex]

=>   [tex]\lambda = 0.125[/tex]

Generally the that the vehicles will fail in less than 2 years is  mathematically represented as

         [tex]P(X \le 2 )= p= \int\limits^2_0 {\lambda e^{- \lambda * x} } \, dx[/tex]

        [tex]P(X \le 2 )= p= [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * x} } ]|\left 2 } \atop {0}} \right.[/tex]

       [tex]P(X \le 2 )= p= [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * 2} } ] - [ {0.125 * - \frac{1}{0.125 } e^{- 0.125 * 0} } ][/tex]

     [tex]P(X \le 2 )= p= -0.77880 + 1[/tex]

     [tex]P(X \le 2 )= p= 0.2212[/tex]

Generally the probability that the vehicle will fail in the first 2 years follows a binomial  distribution  with the mean evaluated as

         [tex]\mu = n * p[/tex]

=>      [tex]\mu = 200 * 0.2212[/tex]

=>      [tex]\mu = 44.24[/tex]

The standard deviation is

       [tex]\sigma = \sqrt{np(1 - p)}[/tex]    

      [tex]\sigma = \sqrt{200 * 0.2212 (1 - 0.2212)}[/tex]  

      [tex]\sigma = 5.86[/tex]

Using normal approximation of binomial  distribution the  probability that 50 or more of them fail in the first 2 years is mathematically represented as

   [tex]P(A \ge 50 ) = 1 - P(A < 50 )[/tex]

Applying continuity correction

    [tex]P(A \ge 50.5 ) = 1 - P(A < 50.5 )[/tex]

Here

    [tex]P(A < 50.5 ) = P(\frac{A - \mu }{\sigma} < \frac{50 - 44.24}{5.87} )[/tex]

Generally  

       [tex]\frac{A - \mu }{\sigma} = Z (The \ standardized \ value \ of A )[/tex]

=> [tex]P(A < 50.5 ) = P( Z < 1.0664 )[/tex]

From the z-table the probability value  of  ( Z  <  1.0664   ) is  

     [tex]P( Z < 1.0664 ) = 0.85679[/tex]

So  

   [tex]P(A \ge 50 ) = 1 - 0.85679[/tex]

=> [tex]P(A \ge 50 ) = 0.14321[/tex]

Answer:

-4

Step-by-step explanation:

take -3 to other side or        add 3 to both sides

So, a=-7+3

       =-4

Answer:

Your answer is: Use the percentage formula: P% * X = Y  

Step-by-step explanation:

Hope this helped : )  

Su respuesta es: Utilice la fórmula de porcentaje: P% * X = Y

Espero que esto haya ayudado :)

Answer: The third option

y = -6 + 2√6 ÷ 5    and   y = -6 - 2√6 ÷ 5

Plz mark brainliest:)

Answer:

C

Step-by-step explanation:

Got it right on eng

Answer:C

Step-by-step explanation:

Answer:

The function is neither even or odd

Step-by-step explanation:

Answer:

0.8333125

Step-by-step explanation:

Answer:

0.83

Step-by-step explanation: