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kramer
2 years ago
13

A student is given the task of buying 100 ball point pens with$100. She must buy atleast one $10 pen, atleast one $3 pen, and th

e reminder at 50 cents each. How many pens of each kind does she buy?
Mathematics
1 answer:
Bess [88]2 years ago
7 0
1 10$ pen 1 3$ pen and 98 50 cent pens
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Consider the null hypothesis, H0: µ = 4,000, at the 1% level of significance. If the z-test statistic is calculated to be 6.00,
kow [346]

Answer:

Option B) Reject null hypothesis      

Step-by-step explanation:

We are given the following in the question:

We are given the null hypothesis:

H_0 = 4,000

\alpha = 0.01

z_{stat} = 6.00

Two tailed z-test

Now, z_{critical} \text{ at 0.01 level of significance } = \pm 2.58

Since,  

The calculated z-statistic does not lie in the acceptance region, we fail to accept and reject the null hypothesis.

Left-tailed z-test

Now, z_{critical} \text{ at 0.01 level of significance } = -2.58

Since,  

z_{stat} > z_{critical}

We fail to accept and reject the null hypothesis.

Right-tailed z-test

Now, z_{critical} \text{ at 0.01 level of significance } = 2.58

Since,  

z_{stat} > z_{critical}

We fail to accept and reject the null hypothesis.

7 0
3 years ago
Find two consecutive odd integers such that
Goryan [66]

Answer:

9 and 11

Step-by-step explanation:

let the consecutive odd integers be n and n + 2 , then

4n = 5(n + 2) - 19 , that is

4n = 5n + 10 - 19 ( subtract 5n from both sides )

- n = - 9 ( multiply both sides by - 1 )

n = 9 and n + 2 = 9 + 2 = 11

The 2 integers are 9 and 11

7 0
2 years ago
Consider the system of equations
lyudmila [28]
4)
I:3x+4y=67
II:5x-y=35

to eliminate y when they are added one of the equations must contain -ay and the other +ay (with a being some number)
in this case we have in I already a positive term and in II a negative, but they have different numbers
by using multiplication (property of equations) we can multiply II by 4 so the negative and positive parts match

II*4: 20x-4y=140

when I and 4*II get added this results in
3x+20x+4y-4y=67+140
23x=207

5)
in this case I and II were added which can be seen in the left side of the equation((3x+4y)+(5x-y)=8x+3y), so to get the right side we have to also add the right sides 67+35=102

so the full equation would be:
8x+3y=102
4 0
3 years ago
Can You Guys Help Me With These Questions? Please?
cricket20 [7]
Number 4 is $35, hope i could help:)
6 0
3 years ago
Read 2 more answers
What expression equals to 3^15
GuDViN [60]

Answer:

14348907

Step-by-step explanation:

That's the right answer

8 0
3 years ago
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