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3 years ago

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:

Explanation:-

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

Null hypothesis:H₀:μ > 560

Alternative Hypothesis:H₁ : :μ < 560 (left tailed test)

Test statistic

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

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

|t| = |-1.76| = 1.76

Degrees of freedom

γ = n-1 =16-1 =15

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

Conclusion:-

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 invested for 6 years at 12.8% p.a. 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