3. Chris rode his bike along the same route every day for 60 days. He logged that he had gone exactly 127.8 miles.How many miles did he bike over the course of two weeks​

Answer:

Solution given in the photo

-3 and 4 cannot be the values of x in the given expression

The expression is given as:

[tex]\frac{(x^2-x-6x^2-8x+16)}{(x^2-x-12)}[/tex]

Start by equating the denominator to 0

[tex]x^2 - x - 12 = 0[/tex]

Expand the above equation

[tex]x^2 - 4x + 3x - 12 = 0[/tex]

Factorize the equation

[tex]x(x - 4) + 3(x - 4) = 0[/tex]

Factor out x - 4

[tex](x + 3) (x - 4) = 0[/tex]

Split

[tex](x + 3)= 0\ or\ (x - 4) = 0[/tex]

Remove brackets

[tex]x + 3= 0\ or\ x - 4 = 0[/tex]

Solve for x

[tex]x =- 3\ or\ x = 4[/tex]

Hence, -3 and 4 cannot be the value of x in the given expression

Read more about expressions at:

https://brainly.com/question/2972832

Answer: the answer is 7.5

Step-by-step explanation:

Using the t-distribution, it is found that since the test statistic is more than the critical value for the right-tailed test, it can be conclude that the isolated compound gives more counts than those from background, and hence, we can be 95% confident that the compound is indeed radioactive.

At the null hypothesis, it is tested if isolated compounds do not give more counts than those from background, that is:

[tex]H_0: \mu_1 - \mu_2 \leq 0[/tex]

At the alternative hypothesis, it is tested if the give more counts, that is:

[tex]H_1: \mu_1 - \mu_2 > 0[/tex]

Using a calculator, the mean and the standard deviation for each sample are given by:

[tex]\mu_1 = 33.2, s_1 = 6.058[/tex]

[tex]\mu_2 = 24.25, s_2 = 4.35[/tex]

Considering the sample sizes of 5 and 4, respectively, the standard errors are given by:

[tex]s_1 = \frac{6.058}{\sqrt{5}} = 2.71[/tex]

[tex]s_2 = \frac{4.35}{\sqrt{4}} = 2.175[/tex]

For the distribution of differences, the mean and standard error are given by:

[tex]\overline{x} = \mu_1 - \mu_2 = 33.2 - 24.25 = 8.95[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.71^2 + 2.175^2} = 3.4749[/tex]

The standard error was found from the standard deviation for each sample, hence, the t-distribution is used.

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis, hence:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

[tex]t = \frac{8.95 - 0}{3.4749}[/tex]

[tex]t = 2.58[/tex]

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with 5 + 4 - 2 = 7 df and a 0.05 significance level is of [tex]t^{\ast} = 1.895[/tex]

Since the test statistic is more than the critical value for the right-tailed test, it can be conclude that the isolated compound gives more counts than those from background, and hence, we can be 95% confident that the compound is indeed radioactive.

A similar problem is given at brainly.com/question/24826023

Answer: 1 1/2 x 4 4/7

= 3/2 x 32/7

= 96/14

Step-by-step explanation:

1. Write the whole number as a fraction with a denominator of 1.

2. Multiply the numerators.

3. Multiply the denominators

4. Simplify. If needed, if your answer is greater than 1, you may want to write your answer as a mixed number.

Answer:

3532.59341

Step-by-step explanation:

P= 2150

r= 3.315%

n= 12

t= 15

Answer:

4 Trust me

Step-by-step explanation:

Answer:

8 yards

Step-by-step explanation:

1 yard is equal to 3 feet, so we just do 24/3 = 8 yards

Answer:

8

Step-by-step explanation:

1 feet is 3 yards so 24 yards is 8

Answer:

false

Step-by-step explanation:

bacteria are bigger and more complex than viruses.

Answer:

A (2,2) B (4, -2) C (-4,0)

Step-by-step explanation:

K = 2

K is the scale factor so the y and x distance between the points will double

just take to coordinates and multiply them by 2

A 1,1 new 2,2

B 2, -1 new 4,-2

C -2,0 new -4,0

Answer:

15.3 GAL.

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

i learned this in like 7th grade

Answer:

  m∠C = 72°

Step-by-step explanation:

The sum of the angles in the triangle is 180°.

  A +B +C = 180°

  (2x +11)° +(3x -8)° +(4x -12)° = 180°

  9x = 189 . . . . . . . . divide by °, add 9

  x = 21 . . . . . . . . . divide by 9

Angle C is ...

  (4x -12)° = (4(21) -12)° = 72° . . . . angle C

_____

Additional comment

Angle A is 53°; angle B is 55°.

Answer: call 911

Step-by-step explanation: call 911

Answer:

x=1/2 y =1

Step-by-step explanation:

(-4x+2y)/2x5=0/2x5

10x+3y=8

(-2x+y)x5=0

10x+3y=8

-10x+5y=0

10x+3y=8

8y=8

y=1

x=1/2

Answer:

14 and 12

Step-by-step explanation:

Answer:

x = 20

Hope you could get an idea from here.

Doubt clarification - use comment section

Answer:

  x = (√21)/2

Step-by-step explanation:

The sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. That means the middle-length side is (√3)/2 times the length of the longest side.

  x = (√3)/2·√7

  [tex]\boxed{x=\dfrac{\sqrt{21}}{2}}[/tex]

Answer:

a

Step-by-step explanation:

a

Answer:

the fourth bubble or  d

Step-by-step explanation:

x has to equal to or less than 6

The amount of fabric used to make the headband is 16.13 inches. The amount of fabric used to make the wristband is 9.64 inches.

In order to determine the amount of fabric used to make the accessories, the total inches used would be divided by the total number of people the accessory was made for.

The amount of fabric used to make headband for a player = total quantity of fabrics used / total number of people

677.46 / (38 + 4)

677.46 / 42

= 16.13 inches

The amount of fabric used to make wristband for a player = total quantity of fabrics used / total number of players

366.32 / 38 = 9.64 inches

To learn more about division, please check: https://brainly.com/question/194007

The simple interest is $3352.

Using PRT/100, we can find the interest.

Therefore, the simple interest is $3352.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

[tex]a = \frac{14 - b}{5}[/tex]

Step-by-step explanation:

The rule to know and follow is:

You can add, subtract, multiply or divide by anything so long as the same thing is done to both sides of the equals sign;

5a + b = 14

If we want to get: "a = ...", then we use the rule to isolate the variable a on one side of the equation;

Firstly, we subtract b from both sides:

5a + b - b = 14 - b

5a = 14 - b

Then, divide both sides by 5:

[tex]\frac{5a}{5} = \frac{14 - b}{5} \\\\ a = \frac{14 - b}{5}[/tex]

Answer:

Continuous

Step-by-step explanation:

Answer:

answer: 0

Step-by-step explanation:

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 (x+4)•(x-1)

 ——————————— • 2 = 0 • 2

      2    

Now, on the left hand side, the  2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  (x+4)  •  (x-1)  = 0

7.2    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

simple form

x = 1

x = -4

Answer:

57 digress

I think 57 digress of both triangles are similar

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

1. both are acute triangles

2. both have all the angles measuring less than 90°

3.first triangle x measures 50 degrees and y measure 80 degrees respectively.

pls give brainliest