Answer:
49 eggs.
Step-by-step explanation:
The formula for Margin of Error =
z × standard deviation/√number of samples
z = z score of 98% confidence interval = 2.326
Margin of Error = Half a day = 1/2day = 0.5 day
Standard deviation = 1.5 days
Number of samples = number of eggs he needs to sample = unknown.
Imputing these above values into the formula
Margin of Error = z × standard deviation/√number of samples
0.5 = 2.326 × 1.5/√n
Cross Multiply
0.5 × √n = 2.326 × 1.5
√n = 2.326 × 1.5/0.5
√n = 3.489/0.5
√n = 6.978
Square both sides
(√n)² = 6.978²
n = 48.692484
n ≈ Approximately to the nearest whole number = 49
Therefore, the number of eggs he needs to sample to create the desired interval is approximately to the nearest whole number 49 eggs
.hello :
an equation of the circle <span>Center at the w(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : r = 1
</span><span>The points (-18,15) and (-20,15) lie on a circle with a radius of 1:
</span>(-18-a)²+(15-b)² = 1 ....(1)
(-20-a)² +(15-b)² = 1 ....(2)
solve this system :
(1) -(2) : (-18-a)² - (-20-a)² =0
(-18-a)² =(-20-a)² =0
( -18-a = -20-a) or (-18-a = - (-20-a))
1 ) ( -18-a = -20-a) no solution confused : -18=-20
2 ) -18-a =20+a
-2a =38
a = -19
subst in (1) :(-18+19)²+(15-b)² =1
(15-b)² = 0.... 15-b = 0 .... b = 15
the center is :w(-19,15)
Answer:
Slope = 5
Step-by-step explanation:
y = mx + b
m = slope
m = 5
Answer:
( f o f )(x) = f ( f (x))
= f (2x + 3)
= 2( ) + 3 ... setting up to insert the input
= 2(2x + 3) + 3
= 4x + 6 + 3
= 4x + 9Step-by-step
explanation:
