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2 years ago

Plzz helpp guys

Mathematics

1 answer:

Kitty [74]2 years ago

6 0

Answer:

$y = 1500(0.024)^t$

Step-by-step explanation:

Given

$a = 1500km$ -- initial area

$b = 2.4\%$ -- rate

$t = time$ --- (years)

Required

Represent as an exponential function

An exponential function has the form:

$y = ab^t$

Where

$a = initial\ value$

$b = rate$ and $b \ne 1$

$t= time$

Substitute values for a and b, we have:

$y = 1500 * (2.4\%)^t$

Convert percentage to decimal

$y = 1500 * (0.024)^t$

$y = 1500(0.024)^t$

Hence, the exponential function that represents the scenario is: $y = 1500(0.024)^t$

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A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba

Ahat [919]

Answer:

$z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68$

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

$\hat p=\frac{21}{100}=0.21$ estimated proportion of overfilled bags

$p_o=0.15$ is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:

Null hypothesis: $p =0.7$

Alternative hypothesis: $p > 0.15$

The statistic for this case is:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

And replacing the info given we got:

$z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68$

5 0

2 years ago

F(x)= 3x-3, g(x) =5x-9 find (f-g)(x)

marusya05 [52]

Answer:

Step-by-step explanation:

The answer is A

6 0

2 years ago

Does anybody know the answer to these questions?

san4es73 [151]

Answer:

1. 625,000 J

2. 100 J

4. 5 kg

5. √5 ≈ 2.236 m/s

Step-by-step explanation:

You should be aware that the SI derived units of Joules are equivalent to kg·m²/s².

To reduce confusion between m for mass and m for meters, we'll use an italic m for mass.

In each case, the "find" variable is what's left after we put the numbers into the formula. It is what the question is asking for. The "given" values are the ones in the problem statement and are the values we put into the formula. The formula is the same in every case.

1. KE = (1/2)mv² = (1/2)(2000 kg)(25 m/s)² = 625,000 kg·m²/s² = 625,000 J

2. KE = (1/2)mv² = (1/2)(0.5 kg)(20 m/s)² = 100 kg·m²/s² = 100 J

4. KE = (1/2)mv²

250 J = (1/2)m(10 m/s)² = 50 m²/s²

(250 kg·m²/s²)/(50 m²/s²) = m = 5 kg

5. KE = (1/2)mv²

2000 kg·m²/s² = (1/2)(800 kg)v²

(2000 kg·m²/s²)/(400 kg) = v² = 5 m²/s²

v = √5 m/s ≈ 2.236 m/s

7 0

2 years ago

What is the difference between a ray and line segment line segment is a part of a line bound by multiple points along the line;

koban [17]

A line segment is a part of a line bound by two points; a ray is a line with one endpoint that extends to infinity in one direction. is the difference between a ray and line segment.

Option: C.

Step-by-step explanation:

A line is a set of multiple points that extends from one point to its opposite direction without any end. Ray and Line segments are the two parts that can occur in a line.

A ray is a line with an endpoint in which the line can be extended from that point to infinity in a direction. A line segment also another part line and it consists of two points. Moreover, The line is bounded between those points.

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3 years ago

Last week, it rained g inches. This week, the amount of rain decreased by 5%. Which expressions represent the amount of rain tha

soldi70 [24.7K]

Answer:

Step-by-step explanation:

5%×g= 5g/100

g-5g/100

4 0

3 years ago