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d1i1m1o1n [39]
3 years ago
12

Combine the like terms to create an equivalent expression. 5 + 3t +4-t

Mathematics
1 answer:
irinina [24]3 years ago
5 0

Answer:

9+2t

Step-by-step explanation:

5+4=9

3t-t=2t

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The manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour. (a-1) At α = .05 i
ioda

Answer:

The calculated value t = 1.76 < 2.131 at 0.05 level of significance

Null hypothesis is accepted

The manufacturer’s claim is greater than 560 bags per hour

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given sample size 'n' =16

Given the manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour.

mean of the Population 'μ' = 560

Mean of the sample Χ⁻ = 538

sample standard deviation' S' = 50

<em><u>Null hypothesis</u></em><em>:H₀:μ > 560</em>

<em><u>Alternative Hypothesis</u></em><em>:H₁ : :μ < 560 (left tailed test)</em>

<em>Test statistic</em>

   t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }

  t = \frac{538-560 }{\frac{50}{\sqrt{16} } } = -1.76

|t| = |-1.76| = 1.76

<em>Degrees of freedom </em>

<em>γ = n-1 =16-1 =15</em>

t_{\frac{\alpha }{2} } = t_{\frac{0.05}{2} } =t_{0.025} =2.131

<em><u>Conclusion</u></em>:-

The calculated value t = 1.76 < 2.131 at 0.05 level of significance

Null hypothesis is accepted

The manufacturer’s claim is greater than 560 bags per hour

6 0
3 years ago
Find the future value if £7400 is<br> invested for 6 years at 12.8% p.a.<br> Total
Juli2301 [7.4K]

Answer:

the future value is £15,243.56

Step-by-step explanation:

The computation of the future value is shown below:

As we know that

Future value = Present value × (1 + rate of interest)^number of years

= £7400 × (1 + 0.128)^6

= £15,243.56

Hence, the future value is £15,243.56

7 0
3 years ago
Teresa sold t-shirts at a festival and made a profit of $75. She made $4 for each t-shirt she sold. Her total expenses were $25.
Paha777 [63]
She sold 25 t-shirts cuz she made $75 and spent $25 which means she sold $100 worth of shirts which divided by $4 a piece is 25 t-shirts.

4 0
3 years ago
What is the domain of the function represented by the graph?
dezoksy [38]

Answer:  Choice C.  x \ge -3

============================================

Explanation:

The domain is the set of all allowed x inputs.

Here we see that x = -3 is the smallest x value possible as it is from the left-most point. The graph goes on forever to the right, so there is no largest x value. Effectively infinity is the largest x value even though infinity is not a number.

We can say the domain is -3 \le x < \infty which can be simplified to -3 \le x or x \ge -3

In short: x can be -3 or larger.

8 0
3 years ago
What is the factorization of the trinomial below?x3 - 12x2 + 35x?
Fed [463]
X³ - 12x² + 35x

x(x² - 12x + 35)

x(x-5)(x-7)
4 0
3 years ago
Read 2 more answers
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