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mezya [45]
3 years ago
9

Jonathon buys 3 crates of flowers. He plants 2/5 pf the flowers and then divides the remaining flowers among 5 friends. What fra

ction of a crate of flowers does each of Jonathon's friends get?
Mathematics
1 answer:
GarryVolchara [31]3 years ago
7 0

Answer:

2/5 of 3 = 2/5 * 3 = 6/5....what he plants

(6/5) / 5 = 6/5 * 1/5 = 6/25 <== what each friend got

Step-by-step explanation:

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A random sample of 300 circuits generated 13 defectives. Use the data to test the hypothesis Upper H Subscript 0 Baseline colon
____ [38]

Complete Question

A random sample of 300 circuits generated 13 defectives. a. Use the data to test

                            H_o : p = 0.05

Versus

 

                          H_1 : p \ne 0.05

Use α = 0.05. Find the P-value for the test

   

Answer:

The  p-value is  p-value =  0.5949        

Step-by-step explanation:

From the question we are told that

  The sample size is  n = 300

    The number of defective circuits is  k = 13

Generally the sample proportion of defective circuits is mathematically represented as

        \^ p = \frac{k}{n}

=>     \^ p = \frac{13}{300}

=>     \^ p = 0.0433

Generally the standard Error is mathematically represented as

       SE  = \sqrt{\frac{p(1- p)}{n} }

=>     SE  = \sqrt{\frac{0.05(1- 0.05)}{300} }

=>     SE  = 0.0126

Generally the test statistics is mathematically represented as

       z =  \frac{\^ p - p }{SE}

=>     z =  \frac{0.0433 - 0.05 }{0.0126}

=>     z =  -0.5317

From the z table  the area under the normal curve to the left  corresponding to  -0.5317  is

         (P < -0.5317 ) = 0.29747

Generally the p-value is mathematically represented as

       p-value =  2 * P(Z <  -0.5317 )

=>     p-value =  2 * 0.29747

=>     p-value =  0.5949        

     

3 0
3 years ago
Slope = -1/6; (12,-2)
stira [4]

Equation is y = -1/6x

Step-by-step explanation:

  • Step 1: Given that slope, m = -1/6 and a coordinate (12,-2). Write the equation and find the y-intercept, b.

⇒ y = mx + b

⇒ -2 = -1/6 × 12 + b

⇒ -2 = -2 + b

∴ b = 0

  • Step 2: Write the equation in slope intercept form.

⇒ y = -1/6x + 0

⇒ y = -1/6x

4 0
3 years ago
Vaughn is laying sod in his backyard. A diagram of his backyard is bel ow
Orlov [11]

Answer: A=944\ ft^2

Step-by-step explanation:

You need to use the following formula that is used to find the area of a trapezoid:

A=(\frac{M+m}{2})h

Where "M"and "m" are the bases of the trapezoid and "h" is the height of the trapezoid.

Based on the information given in the exercise, you can identify that:

M=c=36\ ft\\\\m=a=23\ ft\\\\h=b=32\ ft

Knowing these values, you can substitute them into the formula:

A=(\frac{36\ ft+23\ ft}{2})(32\ ft)

Finally, you must evaluate in order to find its area. This is:

A=(\frac{59\ ft}{2})(32\ ft)\\\\A=\frac{1888\ ft^2}{2}\\\\A=944\ ft^2

7 0
3 years ago
-24=2(x-4) What's X?
k0ka [10]
<span>-24=2(x-4) 
Use distributive property
-24=2x-8
Add 8 to both sides
-16=2x
Divide 2 on both sides
Final Answer: -8=x</span>
6 0
4 years ago
Read 2 more answers
In 8 years, a girl will be 3 years older than twice her present age. How old is she now<br>​
Lisa [10]

Answer:

5

Step-by-step explanation:

You can express this as a system of equations:

x in this instance will be her present age.

x + 8 = 2x + 3

simply solve for x after this by subtracting three and x from both sides, and you’ll find that x is 5.

5 0
4 years ago
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