Let
x--------------> the number of slices eating by Consuela and her <span>three friends
we know that
[total slices]=8*2=16 slices
</span><span>[slices of pizza for her older brother]=2
x=16-2=14 slides
</span><span>Consuela and her friends share the rest of the pizza, each eating the same number of slices---------> 14/4= 3.5 slides of pizza each (</span><span>this part is not necessary, but it is shown in a didactic way)
</span><span>
the question is
</span><span>What fraction of the 2 pizzas is left over?
</span>[slices of pizza for her older brother]/[total slices]=2/16=1/8
<span>
the answer is (1/8)
</span>
Answer:
Step-by-step explanation:
The formula for determining confidence interval is expressed as
Confidence interval
= mean ± z × s/ √n
Where
z is the value of the z score
s = standard deviation
n = sample size
a) The 95% confidence level has a z value of 1.96
The 99% confidence level has a z value of 2.58
Since 99% confidence level z value is greater than 95% confidence level z value, if we input it into the formula, it will result to a higher confidence interval. So changing from a 95% confidence level to a 99% confidence level would make a confidence interval wider.
b) The √15 is smaller than the √350. This means that if we make use of the formula, √350 will give a lower confidence interval than that of √15. Therefore, the confidence interval would be narrower changing from a sample size of 15 to a sample size of 350.
c) Applying the formula, a standard deviation of 15 pounds would result to a lower confidence interval than a standard deviation of 20 pounds. Therefore, the confidence interval would be wider changing from a standard deviation of 15 pounds to a standard deviation of 20 pounds.
Answer:
∴At the beginning of the game Sparrow had = (70+12)=82 coins
Step-by-step explanation:
Given , three pirates named Ahab, Sparrow and Davy play a game.
Let at the end of the game Ahab, Sparrow and Davy have 4x, 5x,and 6x coins respectively.
Total number of coins= 4x+5x+6x=15x
Again given that the pirates have a total of 210 coins.
According to the problem,
15x =210
⇔x = 14
Therefore, Ahab, Sparrow and Davy have(4×14)=56,(5×14)=70 and (6×14)=84 respectively.
Since,Ahab has won 5 coins and Davy has won 7 coins.This(7+5)=12 coins was belonged to Sparrow.
∴At the beginning of the game Sparrow had = (70+12)=82 coins
<h2>Figure 1: Pyramid.</h2>
Area of the Base: 96
Formula for Base Area: A = L × W
Volume: 640
Formula for Pyramid volume: 
<h2>Figure 2: Triangular Prism</h2>
Area of Base: 80
Formula for Base Area: 1/2 × base side × height
Volume: 960
Formula: 1/2 × B × L × H
Answer:
x= - 16
Step-by-step explanation:
substitute y=0 then multuply both sides move the variable to the left and change the sign.
