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marysya [2.9K]
4 years ago
13

Evaluate the sum A. 306 B. 240 C. 360 D. 272

Mathematics
1 answer:
Tomtit [17]4 years ago
4 0

Answer:

Option D. 272

Step-by-step explanation:

we know that

To evaluate the sum , use the formula

S=\frac{1}{2}(a1+an)n

where

a1 is the first term

an is the last term

n is the number of terms

In this problem

For n=1 ------> a1=2(1)=2

For n=16 ------> an=2(16)=32

n=16 terms

substitute in the formula

S=\frac{1}{2}(2+32)16

S=272

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he response times for a random sample of 40 medical emergencies were tabulated. The sample mean is 13.25 minutes. The population
Gwar [14]

Answer:

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

The EMS director wants to service goal of 12 minutes or less is being achieved

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the size of the random sample = 40

Given that the mean of the sample (x ⁻) = 13.25

Given that the standard deviation of the Population = 3.2 minutes

Level of significance = 0.05

The mean of the Population (μ) = 12

<u><em>Step(ii):-</em></u>

<u><em>Null hypothesis:-H₀: </em></u> (μ) = 12

<em>Alternative Hypothesis: H₁</em> : μ < 12

Test statistic

                  Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

                  Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }

                  Z = 2.5

The tabulated value Z₀.₀₅ = 1.96

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

<u><em>Final answer:-</em></u>

The EMS director wants to service goal of 12 minutes or less is being achieved

<u><em></em></u>

<u><em></em></u>

3 0
3 years ago
Help with math homework pls!! NO WRONG ANSWERS PLS!!
oksian1 [2.3K]
Since the answer after dividing 9 to the 7th power and 9 to the 5th power, 81 would be 9 to the 2nd power
so,
9^2
5 0
3 years ago
Find the amount of cardboard needed to make a box for a single slice of pizza. The box is shoen in the shape of a triangular pri
Molodets [167]
For this case, what you should do is calculate the surface area of the figure.
 We have then:
 Triangles:
 A1 = (1/2) * (7) * (12)
 A1 = 42 in ^ 2
 Rectangles:
 A2 = (1) * (12.5)
 A2 = 12.5 in ^ 2
 A3 = (1) * (7)
 A3 = 7 in ^ 2
 Finally, the total surface area is:
 A = 2A1 + 2A2 + A3
 Substituting values:
 A = 2 (42) + 2 (12.5) + (7)
 A = 84 + 25 + 7
 A = 116 in ^ 2
 Answer:
 
the amount of cardboard needed to make a box for a single slice of pizza is:
 
A = 116 in ^ 2
8 0
4 years ago
PLEASE HELP! I've reposted this soooo many times and no one answered, I WILL GIVE BRAINLIEST!​
ASHA 777 [7]

Answer: C

Step-by-step explanation:

5 0
3 years ago
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