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3 years ago

Which algebraic expression represents “Marcus practiced the trumpet twice as long this week”?

Mathematics

2 answers:

Galina-37 [17]3 years ago

8 0

Answer:

2p should be the correct answer!

irakobra [83]3 years ago

6 0

Answer:

2p is the answer

Step-by-step explanation:

I took the answer edg2021

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What is the slope of the line passing through the points (3, 3) and (5, 7)? A). -1/2 B).-2 C).2 D).1/2 PLSSS HELP!

Darina [25.2K]

Answer: C. 2

Step-by-step explanation:

Subtract the y coordinates over the subtraction of the x coordinates

(3 - 7) / (3 - 5)

-4 / -2 = 2

6 0

3 years ago

Read 2 more answers

Multiplication equation would you use to check the quotient of 5/8 divided by 2 = 5/16

dolphi86 [110]

Answer:

you can also do 5/8 times 1/2 which also equals 5/16

hope that helps :)

Step-by-step explanation:

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4 years ago

Umder what conditions can you use a normal distribution to approximate the binomial distrubution

Shtirlitz [24]

Answer:

See Below

Step-by-step explanation:

A <u>binomial distribution</u> is basically the probability of success of failure of an experiment that is repeated many times.

The parameters are "n" and "p".

Where

n is the number of times the experiment is performed, or the number of trials

p is the probability of success

Note: "q" is the probability of failure, or q = 1 - p

** Binomial Distribution is a discrete distribution

A normal distribution is a continuous distribution that is symmetric about the mean. That means, the data closer to mean occurs more frequently.

At times, we can use normal distribution to approximate a binomial distribution. The conditions can be said as:

<u>" we can approximate a binomial distribution using normal distribution when n is large enough "</u>

How large is large enough?

There isn't a precise answer, but we can take a rule of thumb as

If "n*p" and "n*q" is greater than 10, we can say the sample size, or n, is large enough.

We can approximate when this is less than 10 per say, but the approximation won't be that good. So, the more the value is greater than 10, the better the approximation.

6 0

3 years ago

There is one pair of congruent triangles in the figure. Identify the congruence using proper notation.

Kruka [31]

Answer: QRP ~= TSP
~= means congruent

6 0

3 years ago

Suppose that the mean water hardness of lakes in Kansas is 425 mg/L and these values tend to follow a normal distribution. A lim

tino4ka555 [31]

Answer:

The mean water hardness of lakes in Kansas is 425 mg/L or greater.

Step-by-step explanation:

We are given the following data set:

346, 496, 352, 378, 315, 420, 485, 446, 479, 422, 494, 289, 436, 516, 615, 491, 360, 385, 500, 558, 381, 303, 434, 562, 496

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{10959}{25} =438.36$

Sum of squares of differences = 175413.76

$S.D = \sqrt{\dfrac{175413.76}{24}} = 85.49$

Population mean, μ = 425 mg/L

Sample mean, $\bar{x}$ = 438.36

Sample size, n = 25

Alpha, α = 0.05

Sample standard deviation, s = 85.49

First, we design the null and the alternate hypothesis

$H_{0}: \mu \geq 425\text{ mg per Litre}\\H_A: \mu < 425\text{ mg per Litre}$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{438.36 - 425}{\frac{85.49}{\sqrt{25}} } = 0.7813$

Now, $t_{critical} \text{ at 0.05 level of significance, 24 degree of freedom } = -1.7108$

Since,

The calculated t-statistic is greater than the critical value, we fail to reject the null hypothesis and accept it.

Thus, the mean water hardness of lakes in Kansas is 425 mg/L or greater.

6 0

3 years ago