1) Mean= Sum of total Observation/ Total no.of observation
Mean= 42/6=7
option (b) 7
2)To calculate Median first arrange the numbers in a numerically ascending order.
Since, there are even no.of total Observation median will be the mean of two middlemost terms.
3,6,7,9,9,10
Middle terms are 7 and 9
Median= 7+9/2= 8
option(c) 8
Answer:
25 unit
Step-by-step explanation:
See attachment for the missing figure.
Assuming the complete question is:
Side UY = 4z-1
Side UV = 5z+3
Perimeter of rectangle is given by:
2UY+2UV=P
2(4z-1)+2(5z+3)=84
8z-2+10z+6=84
18z+4=84
18z = 84 -4 =>
18z = 80
z= 4.45 unit
Side UV = 5z+3 => 5(4.45) + 3
Side UV ≈ 25 unit
SInce, Side UV = Side XY
Side XY≈ 25 unit
Answer: 2 is the y intercept
Step-by-step explanation:
Slope is rise over run and in this problem our y intercept is 2 because it is defined as the y. Negate your 9 and put it over the y intercept to make into a fraction to represent slope. This makes it y = mx + b form now.
y = - 9/2x + 2
Answer:
m∠CAO=8º
m∠SAC=82º
Step-by-step explanation:
We know that m∠OAS is 90º because it is a radius to a tangent. This will be useful later.
OA=OB because they are both radii. If we draw a line from A to B, this makes an isosceles triangle ABO with a vertex angle of 32 because of the central angle theorem. This means that m∠OAB and m∠OBA are both 74º.
Isosceles triangle CAB is also formed with the construction of AB. Using the inscribed angle theorem, we can find ACB, which is 16º. Solve for the other angles and you get 82º. To find m∠CAO, subtract m∠OAB from m∠CAB, and this returns 8.
To find m∠SAC, subtract m∠CAO from m∠OAS, which is 90º-8º, and you get 82º.
Answer:
pounds of blueberries he need to buy more.
Step-by-step explanation:
Given:
Horace buys 2 ¾ pounds of blueberries for a pie.
He needs 48 ounces of blueberries for the pie.
Now, to find pounds of blueberries he need to buy more.
<u><em>Number of pounds Horace buys blueberries for the pie = 2 ¾ pounds.</em></u>
He needs blueberries for the pie = 48 ounces.
Now, by using conversion factor convert ounces into pounds:
1 ounce = 0.0625 pounds.
48 ounces = 0.0625 × 48 pounds.
48 ounces = 3 pounds.
<u><em>Horace needs blueberries for the pie = 3 pounds.</em></u>
Now, to get the pounds of blueberries he need to buy more we subtract number of pounds Horace buys blueberries for the pie from Horace needs blueberries for the pie:
Therefore, pounds of blueberries he need to buy more.