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inessss [21]
3 years ago
10

How many terms of series 64+16+4 have the sum 5461\64?

Mathematics
1 answer:
umka2103 [35]3 years ago
3 0

Answer:

5th term will approximate 5461/64

Step-by-step explanation:

5th term will approximate 5461/64

64+16+4+1+0.25 = 85.25 ≈ 5461/64 = 85.33

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Find the surface area of a rectangular prism with base 4 m by 5 m and height 8 m.
Andre45 [30]

Answer:

Step-by-step explanation:

surface area=area of sides +area of top and bottom

=2(4+5)×8+2×(4×5)

=2[(9×8)+20]

=2[72+20]

=2×92

=184 m²

4 0
3 years ago
Read 2 more answers
It is desired to compare the hourly rate of an entry-level job in two fast-food chains. Eight locations for each chain are rando
notka56 [123]

Answer:

It can be concluded that at 5% significance level that there is no difference in the amount paid by chain A and chain B for the job under consideration

Step by Step Solution:

The given data are;

Chain A 4.25, 4.75, 3.80, 4.50, 3.90, 5.00, 4.00, 3.80

Chain B 4.60, 4.65, 3.85, 4.00, 4.80, 4.00, 4.50, 3.65

Using the functions of Microsoft Excel, we get;

The mean hourly rate for fast-food Chain A, \overline x_1 = 4.25

The standard deviation hourly rate for fast-food Chain A, s₁ = 0.457478

The mean hourly rate for fast-food Chain B, \overline x_2 = 4.25625

The standard deviation hourly rate for fast-food Chain B, s₂ = 0.429649

The significance level, α = 5%

The null hypothesis, H₀:  \overline x_1 = \overline x_2

The alternative hypothesis, Hₐ:  \overline x_1 ≠ \overline x_2

The pooled variance, S_p^2, is given as follows;

S_p^2 = \dfrac{s_1^2 \cdot (n_1 - 1) + s_2^2\cdot (n_2-1)}{(n_1 - 1)+ (n_2 -1)}

Therefore, we have;

S_p^2 = \dfrac{0.457478^2 \cdot (8 - 1) + 0.429649^2\cdot (8-1)}{(8 - 1)+ (8 -1)} \approx 0.19682

The test statistic is given as follows;

t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{S_{p}^{2} \cdot \left(\dfrac{1 }{n_{1}}+\dfrac{1}{n_{2}}\right)}}

Therefore, we have;

t=\dfrac{(4.25-4.25625)}{\sqrt{0.19682 \times \left(\dfrac{1 }{8}+\dfrac{1}{8}\right)}} \approx -0.028176

The degrees of freedom, df = n₁ + n₂ - 2 = 8 + 8 - 2 = 14

At 5% significance level, the critical t = 2.145

Therefore, given that the absolute value of the test statistic is less than the critical 't', we fail to reject the null hypothesis and it can be concluded that at 5% significance level that chain A pays the same as chain B for the job under consideration

3 0
3 years ago
At Least One Defective iPhone It has been reported that 20% of iPhones manufactured by Foxconn for a product launch did not meet
bija089 [108]
We can use the binomial theorem to find the probability that 0 out of the 15 samples will be defective, given that 20% are defective.
P(0/15) = (15C0) (0.2)^0 (1 - 0.2)^15 = (1)(1)(0.8)^15 = 0.0352
Then the probability that at least 1 is defective is equal to 1 - 0.0352 = 0.9648. This means there is a 96.48% chance that at least 1 of the 15 samples will be found defective. This is probably sufficient, though it depends on her significance level. If the usual 95% is used, then this is enough.
7 0
3 years ago
What is the equation of the line in slope intercept form using these points?
deff fn [24]

Answer:

y = -x - 1

Step-by-step explanation:

1. The slope-intercept form of any linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. To find the slope given two points, we can use the formula \frac{y_2-y_1}{x_2-x_1} and plug in the corresponding variable.

  • \frac{5-(-2)}{-6-1}
  • \frac{5+2}{-7}
  • \frac{7}{-7}
  • -1

3. Okay, so the slope is -1x or just -x. This means that the equation looks like this so far: y = -x + b

4. To find b, the y-intercept, we can take the equation of b = y_1 - m * x_1 and plug in the values!

  • b = -2-(-1)*1
  • b = -2 + 1 * 1
  • b = -1 * 1
  • b = -1

5. Now that we have our y-intercept and slope, let's plug in those values and find the equation!

  • y = -x - 1

Therefore, the equation of the line is y = -x - 1. I hope this helped you!

3 0
3 years ago
THE amusement park won't allow kids to ride roller-coasters until they are a minimum of 48 inches tall. Michael is now 42 inches
saveliy_v [14]

Answer: It will one year (or 12 months) before Michael is able to ride the roller coaster.

Step-by-step explanation: Because he grows a half inch every month, this means that It takes him two months to grow one full inch. Because he has to grow six inches, you just multiply 2 by 6 to get 12 months or one year.

7 0
3 years ago
Read 2 more answers
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