675 people will have score between 85 and 120
Step-by-step explanation:
Given
Mean = 100
SD = 15
If we have to find percentage of score between two values we have to find the z-score for both values and then area under the curve for both values
z-score is given by:
for a value x:
So,
For 85:
Now we have to find the area under the curve for both values of z-score. z-score tables are used for this purpose.
So,
For z1 : 0.1587
For z2: 0.9082
The area between z11 and z2:
So the probability of score between 85 and 120 is 0.7495
As the sample is of 900 people, the people with scores between 85 and 120 will be:
900*0.7495 = 674.55 people
Rounding off to nearest whole number
675 people will have score between 85 and 120
Keywords: Probability, SD
Learn more about probability at:
#LearnwithBrainly
System of equations:
We'll need one equation for the amount of pizzas, and another for the total cost of the pizzas. In this case, x will represent small pizzas, and y will represent large pizzas.
3x + 4y = 100
x + y = 30
Solving the system of equations:
First, we need to solve for one variable in one equation.
x + y = 30
x = 30 - y
Then, we'll take our equation that is solved for x and plug it into the other equation from above.
3(30 - y) + 4y = 100
Next, we solve for y.
90 - 3y + 4y = 100
90 + y = 100
y = 10
Finally, we take our value for y and plug it back in to the very first equation and solve for x.
x = 30 - 10
x = 20
Answer:
The student has sold 10 large pizzas and 20 small pizzas.
Hope this helps!! :)
The reciprocal would be 9/7 because a reciprocal is when you flip a fraction and put the denominator as the numerator and vice versa.
To find 75% of 76, turn 75% into a decimal.
75% ⇒ 0.75
Now multiply 76 by 0.75.
76 × 0.75 = 57
<u>75% of 76 is 57, so 57 of the cookies that Josh brought were caramel brownies.</u>
Answer:
Step-by-step explanation:
The area of the shaded portion, we have to calculate.
Now, join C and O to form two right triangles Δ AOC and Δ BOC.
Now, from Δ AOC,
⇒ x = 6√3
So, area of Δ AOC = 
Due to symmetry area of Δ BOC will also be 18√3.
Now, area of quadrilateral OACB is 2 × 18√3 = 36√3
Now, area covered by the arc AB about center O will be 
Therefore, the area of the shaded portion is (Answer)
