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OverLord2011 [107]
2 years ago
5

Simple the expression ( 3k + 4 1/5) + 8 3/5

Mathematics
1 answer:
lesantik [10]2 years ago
7 0

Answer:

3k+12\frac{4}{5}

Step-by-step explanation:

(3k+12\frac{4}{5})

Convert mixed numbers to improper fractions:

a\frac{b}{c}=\frac{a*c+b}{c}

4\frac{1}{5}=\frac{4*5+1}{5}

=\frac{21}{5}

=(3k+\frac{21}{5} )+\frac{43}{5}

Add the fractions

\frac{21}{5}+\frac{43}{5}

\frac{21}{5} \frac{43}{5} =\frac{64}{5}

=3k+\frac{64}{5}

Divide 64 by 5

\frac{64}{5}12.8 or 12\frac{4}{5}

=3k+12\frac{4}{5}

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A one-tailed test is a a. hypothesis test in which rejection region is in one tail of the sampling distribution b. hypothesis te
garri49 [273]

Answer:

Option A) One tailed test is a hypothesis test in which rejection region is in one tail of the sampling distribution

Step-by-step explanation:

One Tailed Test:

  • A one tailed test is a test that have hypothesis of the form

H_0: \bar{x} = \mu\\H_A: \bar{x} < \mu\text{ or } \bar{x} > \mu

  • A one-tailed test is a hypothesis test that help us to test whether the sample mean would be higher or lower than the population mean.
  • Rejection region is the area for which the null hypothesis is rejected.
  • If we perform right tailed hypothesis that is the upper tail hypothesis then the rejection region lies in the right tail after the critical value.
  • If we perform left tailed hypothesis that is the lower tail hypothesis then the rejection region lies in the left tail after the critical value.

Thus, for one tailed test,

Option A) One tailed test is a hypothesis test in which rejection region is in one tail of the sampling distribution

6 0
3 years ago
The ratio of blue jays to Robin's was 6 to 7. If there were 84 Robins, how many blue jays were there?​
Paul [167]

Answer:

72

Step-by-step explanation:

<em>Since the ratio of blue jays to robin's was 6 to 7 then if there were 84 robins how many blue jays were there.</em>

<em>6 to 7 can also be express as 6/7</em>

<em>Thus, we can set up a proportion</em>

<em>6/7 = x/84</em>

<em>Now, we have to solve for x</em>

<em>x = 72</em>

<em>Hence, if there were 84 robin there would be 72 blue jays.</em>

<em />

<u><em>~lenvy~</em></u>

3 0
2 years ago
Find the minimum value if f(x) = xe^x over [-2,0]
SashulF [63]

Given function:

f(x)=xe^x

The minimum value of the function can be found by setting the first derivative of the function to zero.

f^{\prime}(x)=xe^x+e^x\begin{gathered} xe^x+e^x\text{ = 0} \\ e^x(x\text{ + 1)  = 0} \end{gathered}

Solving for x:

\begin{gathered} x\text{ + 1 = 0} \\ x\text{ = -1} \end{gathered}\begin{gathered} e^x\text{ = 0} \\ \text{Does not exist} \end{gathered}

Substituting the value of x into the original function:

\begin{gathered} f(x=1)=-1\times e^{^{-1}}_{} \\ =\text{ -}0.368 \end{gathered}

Hence, the minimum value in the given range is (-1, -0.368)

6 0
1 year ago
Mathswatch Question! Mr Powers checks his electricity bill. Here are his meter readings. New reading: 6538 units, Old reading: 6
Setler79 [48]

Answer:

Cost = 284 x

Step-by-step explanation:

Given

Old = 6245\ units

New = 6538\ units

Required

The cost of units used

First, calculate the number of units used.

Units = New - Old

Units = 6538 - 6254

Units = 284

Next, multiply the units used by the cost per units,

Since the cost per unit is not given, we assume that it is x.

So, the total cost is:

Cost = Units * Cost\ per\ units

Cost = 284 * x

Cost = 284 x

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3 years ago
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uranmaximum [27]

Answer:

B

Step-by-step explanation:

sjsjsjsjsjjsjsjsjdjdjjdjdjs

6 0
3 years ago
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