Answer:
separate : x-4y=1
= x-2y = 10
the other one: x = 6y + 2
togetehr : x = -1 , y = -1/2
step-by-step explanation:
i don't know if they're together so ima give you the answer for them if they are and just separte answers
Answer:
90, 86, 92, 89
Step-by-step explanation:
The mean of her first five quiz scores is found by adding the scores together and dividing by 5:
(84+72+90+95+87)/5 = 428/5 = 85.6
Any value higher than this mean for the sixth quiz score will raise the overall mean; any value below this mean for the sixth quiz score will lower the overall mean. This means the values that could increase her mean are 90, 86, 92 and 89.
Answer:
Nora received <u>35</u> purple pins.
Step-by-step explanation:
If Nora received 50 pins, and 70% of the pins were purple, to calculate the number of purple pins Nora received, we must find 70% of 50.
To find 70% of 50, we can multiply 50 by the decimal form of 70%:

Therefore, we can conclude that since 70% of the 50 pins Nora received were purple, and 70% of 50 is 35, Nora received 35 purple pins.
Answer:
D) {1, 2, 3}
Step-by-step explanation:
Simply solve for m given our equation:
<em>11 = 3.50 + 2.50m</em>
Start by subtracting 3.50 on both sides:
<em>7.5 = 2.50m</em>
Next, divide by 2.50 on both sides to obtain our value for m:
<em>3 = m</em>
Now since we're looking for a complete set of values, we have to consider all values that are 3 and below for m. This makes D) our answer
Answer:
Yes, there is sufficient evidence to support the claim that the mean cost is $1.
Step-by-step explanation:
Data Given:
The population standard deviation
= $0.2
The sample mean cost
= $0.93
The sample size n = 12
From above we can use the Z-test for testing the mean from the above given data.
To check whether the mean cost of newspaper is $1.00
:
= $1
:
$1
The test statistics Z = 
Z = 
Z = -1.212
The P-value = 2P (Z< - 1.212)
= 2 × 0.1128
= 0.2256
Since the value of P is more than the significance level; do not reject the 
Conclusion: We therefore conclude that there is sufficient evidence to support the claim that the mean cost is $1.