Answer:
A = 800, B = 200, C = 400 Andy D = 400
Step-by-step explanation:
Solve the following multiplication problems. a. 9kg. 3hg. 1cg× 9 b. 11dg. 4cg. × 12 c. 10g. 5 dg. ×6. 5g 3dg. 4cg. × 8
1 answer:
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Answer:
Alandra can fill 60 whole cones
Step-by-step explanation:
The volume of a rectangular prism is V = L × W × H, where
- L is its length
- W is its width
- H is its height
The volume of the cone is V = π r² h, where
- r is the radius of its base
- h is its height
∵ Alandra's rectangular cake pan is 33 cm by 23 cm
∴ L = 33 cm and W = 23 cm
∵ She has enough cake batter to fill it to a depth of 3 cm.
∴ H = 3 cm
→ Find the volume of the batter using the 1st rule above
∵ V = 33 × 23 × 3
∴ V = 2277 cm³
∵ Alandra wants to pour the batter into ice cream cones
∵ She plans to fill each cone to a depth of 9 cm with a diameter of 4 cm
∴ h = 9 cm
∵ r = diameter =
(4)
∴ r = 2 cm
→ Substitute them in the 2nd rule above to find the volume of each cone
∵ V = (π) (2)² (9)
∴ V = 12π cm³
→ To find the number of cones divide the volume of the batter by
the volume of each cone
∵ Number of cones = 2277 ÷ 12π
∴ Number of cones = 60.3993
→ We will take the whole number only because we need the whole cones
∴ Alandra can fill 60 whole cones
Answer:
Null Hypothesis, :
250 W
Alternate Hypothesis, :
> 250 W
Step-by-step explanation:
We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.
They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.
<u><em>Let </em></u><u><em> = mean power consumption of microwave ovens.</em></u>
So, Null Hypothesis, :
250 W
Alternate Hypothesis, :
> 250 W
Here, <u>null hypothesis states tha</u>t the mean power consumption of microwave ovens is no more than 250 W.
On the other hand, <u>alternate hypothesis sates that</u> the mean power consumption of microwave ovens is more than 250 W.
The test statistics that would be used here is <u>One-sample z test statistics</u> as we know about the population standard deviation;
T.S. = ~ N(0,1)
Hence, this would be the appropriate hypotheses to determine if the manufacturer's claim appears reasonable.