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bulgar [2K]
3 years ago
8

Nigel bought 10 pencils and 5 erasers for $8. The price of 2 pencils was $1.What was the price of 2 erasers?

Mathematics
1 answer:
DochEvi [55]3 years ago
8 0
$1.66 

because $1 is for 2 pencils. Now, 10 pencils is $5 since 2 pencils is $1. $5 is for 10 pencil and 5 eraser is the $3 because 8-5=$3. 

$3 is for 5 eraser. So, now do 5÷3=1.666....
You can just make it $1.66
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In an effort to estimate the mean of amount spent per customer for dinner at a major Lawrence restaurant, data were collected fo
larisa86 [58]

Answer:

The 99% confidence interval for the population mean is 22.96 to 26.64

Step-by-step explanation:

Consider the provided information,

A sample of 49 customers. Assume a population standard deviation of $5. If the sample mean is $24.80,

The confidence interval if 99%.

Thus, 1-α=0.99

α=0.01

Now we need to determine z_{\frac{\alpha}{2}}=z_{0.005}

Now by using z score table we find that  z_{\frac{\alpha}{2}}=2.58

The boundaries of the confidence interval are:

\mu-z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80-2.58\times \frac{5}{\sqrt{49}}=22.96\\\mu+z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n} }\\24.80+2.58\times \frac{5}{\sqrt{49}}=26.64

Hence, the 99% confidence interval for the population mean is 22.96 to 26.64

3 0
4 years ago
An experiment has four equally likely outcomes: E1, E2, Es, and E.Round your answers to three decimal places. a. What is the pro
V125BC [204]

Answer:

a. 0.25

b. 0.50

c. 0.75

Step-by-step explanation:

P(E1) = 0.25

P(E2) = 0.25

P(Es) = 0.25

P(E) = 0.25

a. Since there are 4 outcomes with the same probability of occurring, the probability of E occurring is:

P(E) = \frac{1}{4}=0.25

b. The probability of any two outcomes occurring is twice the probability of a single outcome occurring

P(two\ outcomes) = 2*P(one\ outcome) = \frac{2}{4}=0.50

c. The probability of any three outcomes occurring can be written as 100% minus the probability of the remaining outcome occurring

P(three\ outcomes) = 1-P(one\ outcome) = 1-\frac{1}{4}=0.75

6 0
4 years ago
Solve for p.
jeyben [28]

Answer: C

Step-by-step explanation:

thank me later

8 0
3 years ago
Travis has $60 in dimes and quarters.If he could switch the numbers of dimes with the number of quarter, he would have $87. How
IgorC [24]

Answer:

300 dimes and 120 quarters

Step-by-step explanation:

Let x be the number of dimes and y be the number of quarters Travis has. Travis has $60 (6000 cents) in dimes and quarters, then

10x+25y=6000.

If he could switch the numbers of dimes with the number of quarter, he would have y dimes and x quarters. In total this amount of money is $87 (8700 cents), then

10y+25x=8700.

Solve the system of two equations:

\left\{\begin{array}{l}10x+25y=6000\\ \\10y+25x=8700\end{array}\right.\Rightarrow \left\{\begin{array}{l}2x+5y=1200\\ \\2y+5x=1740\end{array}\right..

Multiply the 1st equation by 5, the 2nd equation by 2 and subtract them:

\left\{\begin{array}{l}10x+25y=6000\\ \\10x+4y=3480\end{array}\right.\Rightarrow 21y=2520,\ y=120.

Then

2x+5\cdot 120=1200,\\ \\2x=1200-600,\\ \\2x=600,\\ \\x=300.

5 0
3 years ago
What is the constant difference of the above sequence 6;10;14​
ludmilkaskok [199]

Answer: 4

Step-by-step explanation: 10-6=4

14-10=4

3 0
3 years ago
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