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erma4kov [3.2K]
3 years ago
11

Make v the subject of the formula ​

Mathematics
2 answers:
EleoNora [17]3 years ago
7 0

T =\dfrac 5{V+1}\\\\\\\implies VT+T = 5\\\\\implies VT = 5-T\\\\\implies V =\dfrac{5-T}T

Mariana [72]3 years ago
7 0
<h2>Answer:   V = \frac{5}{T} - 1   OR  V = \frac{5 - T}{T}</h2>

Step-by-step explanation:

One way we can make V the subject of the formulas by rearranging the terms mathematically to get V on one side of the equation and the other terms on the other side:

since       T = 5 ÷ (V + 1)          <em>[multiply both sides by (V+1)]</em>

    T (V + 1) = 5                        <em>[divide both sides by T]</em>

       (V + 1) = 5 ÷ T                <em>  [subtract 1 from both sides]</em>

              V = (5 ÷ T) - 1    OR   V = \frac{5}{T} - 1<em />

If we want the RHS with over a single denominator we can write it as

  V = (5 ÷ T) - (T ÷ T)      <em> [rewrite 1 in terms of T (T/T)]</em>

  V = (5 - T) ÷ T   OR  V = \frac{5 - T}{T}

You might be interested in
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 330 grams and a standard deviati
just olya [345]

Answer:

Weights of at least 340.1 are in the highest 20%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 330, \sigma = 12

a. Highest 20 percent

At least X

100-20 = 80

So X is the 80th percentile, which is X when Z has a pvalue of 0.8. So X when Z = 0.842.

Z = \frac{X - \mu}{\sigma}

0.842 = \frac{X - 330}{12}

X - 330 = 12*0.842

X = 340.1

Weights of at least 340.1 are in the highest 20%.

3 0
3 years ago
Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administrat
NemiM [27]

Answer:

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.

This means that n = 65, \pi = 0.76

99% confidence level

So \alpha = 0.005, z is the value of Z that has a pvalue of 1 - \frac{0.005}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964

0.6236*100 = 62.36%

0.8964*100 = 89.64%

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

6 0
3 years ago
use any strategy to solve the following problems 1) for haloween ned received 48 pieces of candy .if he put them into piles with
Veronika [31]

Answer:

He could make 16 piles.

Step-by-step explanation:

Divide 48 by 3: 48 ÷ 3 = 16

6 0
3 years ago
The length of the segment indicated round your answer to the nearest 10th if nessesary
exis [7]
Pythagorean Theorem
x^2 = 15.7^2 -7.8^2
x^2 = <span> <span> <span> 185.65 </span> </span> </span>
x = <span> <span> <span> 13.6253440324 </span> </span> </span>
Answer is C

3 0
3 years ago
What's the answer to the math problem 8r+4=10+2r
mart [117]
In order to solve for r you have to place all the number in one side. then isolate r ......  r=1

6 0
3 years ago
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