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svlad2 [7]
3 years ago
11

Rewrite 1 / 6 barrels over 2 over 5 hours as a unit rate

Mathematics
1 answer:
Akimi4 [234]3 years ago
5 0

Answer:

5/12 barrel/hour

Step-by-step explanation:

 Type this as a fraction:

  (1/6) barrel

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

  (2/5) hours

Division by 2/5 is equivalent to multiplication by 5/2:

1                5

--- barrel * -------------- = 5/12 barrel/hour

6                2  hours

Alternatively, this problem could be done using decimal fractions:

0.1667 barrel

-------------------- = 0.416666 barrel/hour  =  5/12 barrel/hour

0.4 hours

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Need help Math Question Multiple Choice!
erica [24]

Given :

A function f(x) for different range of x.

To Find :

The value of f( -3 ) .

Solution :

We have to find the value of function at x = -3.

Now, in the given figure -3 lies in range x ≤ -2 and definition of function at that range is :

f(x) = \dfrac{2}{x}

So, putting value of x = -3 in above equation, we get :

f(-3) = \dfrac{2}{-3} \\\\f(-3) = \dfrac{-2}{3}

Hence, this is the required solution.

8 0
3 years ago
Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypot
Nina [5.8K]

Answer: a. 0.1031; fail to reject the null hypothesis

Step-by-step explanation:

Given: Significance level : \alpha=0.05

The test statistic in a two-tailed test is z = -1.63.

The P-value for two-tailed test : 2P(Z>|z|)=2P(Z>|-1.63|)=0.1031 [By p-value table]

Since, 0.1031 > 0.05

i.e. p-value > \alpha

So, we fail to reject the null hypothesis. [When p<\alpha then we reject null hypothesis  ]

So, the correct option is a. 0.1031; fail to reject the null hypothesis.

8 0
3 years ago
Fiona wants to estimate the product (8.7)(3.0). Which expression shows each factor rounded to the nearest whole number?
borishaifa [10]
(9)(3) would be the expression for the factors rounded to the nearest whole numbers.
I hope I correctly answered your question and that this helps.
5 0
3 years ago
7x-2y=16 11x+6y=32.3<br>how to solve this math problem​
Aneli [31]

Answer:

Step-by-step explanation:

These types of equations are called simultaneous equations and the method we can use to solve these type of equations is either Substitution, Elimination and Graphing.

We use substitution here because it is easier.

Equation 1

7x-2y=16

Equation 2

11x+6y=32.3

Lets take equation 1

7x-2y=16\\7x=16+2y\\x=\frac{16+2y}{7}

This is our equation 3 , now put it inside equation 2.

11x+6y=32.3\\11(\frac{16+2y}{7} )+6y=32.3\\\frac{176+22y}{7} +6y=32.3\\\frac{176+22y+42y}{7}=32.3\\176+22y+42y=226.1 \\\\42y+22y=226.1-176\\64y=50.1\\y=\frac{50.1}{64} \\y=0.783\\

We found the value of y , now to find the value of x insert the value of y in equation 3

x=\frac{16+2y}{7}\\x=\frac{16+2(0.783)}{7} \\x=\frac{16+1.566}{7}\\x=\frac{17.566}{7}\\x=2.509

Solved ! See the attached image on both the straight line graphs i have attached for better understanding. Where both the lines intersect each other is our value of (x , y) respectively.

6 0
3 years ago
Fill in the table of values for the equation y = x + 2​
sweet [91]

Answer:

-3

2

5

Step-by-step explanation:

3 0
3 years ago
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