Answer: Jane needs 1 11/ 12 cups of flour more to make the cookie dough
Step-by-step explanation:
Recipe for cookie dough= 3 2/3cups of flour
Amount of flour available for Jane = 1 3/4 cups of flour
Amount of flour Jane needs to add to make cookie dough
=3 2/3 - 1 3/4
changing to improper fraction to make it easier to subtract
11/3 -7/4 = (44- 21)/12 = 23/12 = 1 11/12 cups of flour
First you solve the brackets;
68+7 = 75
Then you add the 93;
75+93 = 168
3 less than twice a number x.
Twice a number would be the x multiplied by 2, and 3 less would be 3 subtracted by 2*x.
2x-3 <- The numeral form.
I hope this helps!
~kaikers
Answer: the probability that the mean price for the sample was between $3.781 and $3.811 that week is 0.94122
Step-by-step explanation:
Given that;
sample size n = 32
mean μ = $3.796
standard deviation σ = 0.045
P(3.781 < x" < 3.811) = ?
Standard Error S.E = σ/√n = 0.045/√32 = 0.007955
z value for 3.781, z = x-μ/S.E = (3.781-3.796)/0.007955 = -1.8856 ≈ -1.89
z value for 3.811, z = x-μ/S.E = (3.811-3.796)/0.007955 = 1.8856 ≈ 1.89
P(3.781 < x" < 3.811) = P( -1.89 < z < 1.89)
= P(z < 1.89) - P(z < -1.89)
from z-score table
⇒ 0.9706 - 0.02938
⇒ 0.94122
Therefore the probability that the mean price for the sample was between $3.781 and $3.811 that week is 0.94122
The perimeter of ΔXYZ is 126 units.
Solution:
Given ΔPQR 
ΔXYZ.
In ΔPQR,
PQ = 5, QR = 10, PR = 6
In ΔXYZ, XY = 30
Perimeter of ΔPQR = PQ + QR + PR
= 5 + 10 + 6
= 21
Perimeter of ΔPQR = 21
To find the perimeter of ΔZYZ:
If two triangles are similar then the ratio of the perimeters of two similar triangles is same as the ratio of their corresponding sides.
Do cross multiplication, we get
⇒ 5 × Perimeter of ΔXYZ = 30 × 21
⇒ 5 × Perimeter of ΔXYZ = 630
Divide by 5 on both sides of the equation.
⇒ Perimeter of ΔXYZ = 126
Hence the perimeter of ΔXYZ is 126 units.
