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MArishka [77]
2 years ago
7

Help needed please, thank you!

Mathematics
1 answer:
Doss [256]2 years ago
4 0
Your answer will be 4
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PLEASE HELP ME!
algol13

Step-by-step explanation:

1.\sum_{i=1}^{5}3i

The simplest method is "brute force".  Calculate each term and add them up.

∑ = 3(1) + 3(2) + 3(3) + 3(4) + 3(5)

∑ = 3 + 6 + 9 + 12 + 15

∑ = 45

2.\sum_{k=1}^{4}(2k)^{2}

∑ = (2×1)² + (2×2)² + (2×3)² + (2×4)²

∑ = 4 + 16 + 36 + 64

∑ = 120

3.\sum_{k=3}^{6}(2k-10)

∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)

∑ = -4 + -2 + 0 + 2

∑ = -4

4. 1 + 1/4 + 1/16 + 1/64 + 1/256

This is a geometric sequence where the first term is 1 and the common ratio is 1/4.  The nth term is:

a = 1 (1/4)ⁿ⁻¹

So the series is:

\sum_{j=1}^{7}(\frac{1}{4})^{j-1}

5. -5 + -1 + 3 + 7 + 11

This is an arithmetic sequence where the first term is -5 and the common difference is 4.  The nth term is:

a = -5 + 4(n−1)

a = -5 + 4n − 4

a = 4n − 9

So the series is:

\sum_{j=1}^{5}(4j-9)

5 0
3 years ago
A moving sidewalk takes zoo visitors up a hill. The
irina [24]

Answer:

x = 185.458 ft

Step-by-step explanation:

When we draw a picture, we are able to see that we need to use sin∅ to solve this problem:

sin15° = 48/x

xsin15° = 48

x = 48/sin14°

7 0
3 years ago
What is the length of (AB)?
earnstyle [38]
  • AB = 4 units
  • BC = 8 units
  • perimeter = 2(l+b) = 2(8+4) = 2(12) = 24 units

hope it helps...!!!

3 0
2 years ago
Read 2 more answers
An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre
melamori03 [73]

Answer:

We conclude that a compact microwave oven consumes a mean of more than 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 with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let \mu = <u><em>mean power consumption for microwave ovens.</em></u>

So, Null Hypothesis, H_0 : \mu \leq 250 W     {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, H_A : \mu > 250 W     {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here <u>One-sample z test statistics</u> as we know about the population standard deviation;

                                T.S. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean power consumption for ovens = 257.3 W

            σ = population standard deviation = 15 W

            n = sample of microwave ovens = 20

So, <em><u>the test statistics</u></em>  =  \frac{257.3-250}{\frac{15}{\sqrt{20} } }

                                      =  2.176

The value of z test statistics is 2.176.

<u>Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.</u>

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

7 0
2 years ago
The last time brea played softball she hit the ball 35 percent of the times she was at bat based on this information how many ti
WITCHER [35]

Answer:

The answer to your question is 7 times

Step-by-step explanation:

Data

Percent of accuracy = 35%

Times she is at bat = 20

Times she hit the ball = ?

Process

1.- Use proportions to solve this problem

20 times will be the 100%  because is the total number of times she is at bat.

                     20 times ------------------ 100%

                       x            ------------------   35%

                       x = (35 x 20) / 100

                       x = 700 / 100

                       x = 7

2.- Conclusion

From 20 times she is at bat, she will hit the ball 7 times.                

4 0
3 years ago
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