Answer:
the first selection is so shaded
Step-by-step explanation:
Each strip is divided into 10 parts. 1/5 will be represented by 2 of those parts, so 2/5 will be represented by 4 of the 10 parts. The 3/10 used on the other gift will be represented by 3 additional parts. So, a total of 7 of the 10 parts of the strip need to be colored to represent the ribbon used.
Answer:
There is no sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
We are given;
n = 27 bags
Sample mean;X = 402 gram
Population mean;μ = 404 gram
Variance = 676
We know that, standard deviation(σ) = √variance
Thus;
σ = √676
σ = 26
The hypotheses are;
Null hypothesis; H0: μ = 404
Alternative hypothesis; HA: μ < 404
Let's find the z-score from the formula;
z = (X - μ)/(√σ/n)
z = (402 - 404)/√(26/27)
z = -2.04
From the z-distribution table attached, we have a p-value of 0.02068
This is less than the significance value of 0.01 and thus we will reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that the bags are underfilled
15. In a similar figure the sides are proportional. So you have to say which ratio of sides is also proportional or which sides are equal to the fraction 44/35.2
it would be c because :
44/35.2 = 132/105.6
16. same thing with similar triangles. if the length of sides are similar then so is perimeter. So so we find the ratio of the side lengths. We we know sq is 6 and qt is 24. So st is 30. So so the line st and sq are matching and similar so we compare their lengths and get a ratio
sq * x = st
6 * x = 30
x = 5
So so the perimeter is 5 times more than small triangle so
5 * 20 = 100
17.similar side is 0.5 and 3.6 so ratio is 3.6/0.5. we know she is 1.8 talk so
1.8 * 3.6/0.5 = 12.96
The surface area of a rectangular prism is always:
A=2(xy+xz+yz), where x, y, and z are the three dimensions of the prism.
A=2(50*90+50*3.5+90*3.5)
A=2(4500+175+315)
A=2(4990)
A=9980 mm^2