Answer:
The test statistic is -1.00
Step-by-step explanation:
Test statistic (Z) = (sample mean - population mean) ÷ sd/√n
sample mean = 38.8miles/gallon, population mean = 39miles/gallon, sd = 2.2miles/gallon, n = 120vans
Z = (38.8 - 39) ÷ 2.2/√120 = -0.2 ÷ 2.2/10.95 = -0.2 ÷ 0.20 = -1.00 (to 2 decimal places)
Answer:
1. 1.3778 2. 0.0089
Step-by-step explanation:
to find the volume of the whole rectangle prism you would have to do the volume formula since it is a 3d shape. VOLUME FORMULA, LxWxH.
so 1x0.83x1.66= 1.3778
you can always convert the fraction into decimal to help you calculate the problem.
i don't know if this is correct but i give it a try, so if the whole volume of the triangle is 1.3378 than you can divide that by the the number of small cubes it has inside.
it is 5 by 10 so there are 150 cubes in total.
1.3378 divided by 150=0.0089
im confident about the 1st but not so much with the second
Answer:
no
Step-by-step explanation:
We want to compare the pot holder hole dimension to the pot dimension. The hole diameter is the overall pot holder diameter less the wall thickness on either side:
hole diameter = (20 1/5) -2(1 2/7) = 20 -2(1) +1/5 -(2)(2/7)
= 18 +(1/5 -4/7) = 18 +(7 -20)/35 = 18 -13/35
= 17 22/35 . . . . cm
We want to compare this to 17 4/5. We can do that by using a common denominator for the fractions.
17 4/5 = 17 + (4/5)(7/7) = 17 28/35 . . . . cm
The pot has a diameter of 17 28/35 cm; the pot holder has a hole diameter of 17 22/35 cm, so <em>the hole is smaller than the pot</em>.
The pot will not fit into the plant pot holder.
_____
You can use your calculator to find the free space around the pot by computing ...
20 1/5 -2(1 2/7) -17 4/5 = free space = -6/35 . . . . cm
Negative space means the pot is larger than the hole.
Answer:
x = 8, y = 6
Step-by-step explanation:
2x + 5y = 46______(1)
3x - 2y = 12_______(2)
(1) x 3 --> 6x + 15y = 138
(2) x 2 --> 6x -4y = 24
(1) - (2) --> 19y = 114
y = 6 sub into (2)
3x - (2 x 6) = 12
3x = 24
x = 8
<h2>
<em><u>Please mark as brainliest!!!</u></em></h2>
