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Nady [450]
3 years ago
14

Todd caught at least three times as many fish this year as he did last year. He caught 63 fish this year. Write an inequality th

at represents how many fish he caught last year.
Mathematics
1 answer:
fiasKO [112]3 years ago
4 0

Answer:

21

Step-by-step explanation:

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Define the following in your own words. Please do not copy and paste of the internet. Thank you in advance
bulgar [2K]

Answer:

Perpendicular bisector - A line that bisects another line into two equal halves so that four right angles are created.

Cylinder - A 3D solid with circles as its bases.

Plane - A flat, 2D surface that extends infinitely.  

Regular Polygon -  A polygon where all angles and all sides are equal  (ex. square, pentagon, triangle).

3 0
3 years ago
Please help meee!!!!
Grace [21]

Answer:X=-15

Step-by-step explanation:

-4x/5=12

5x-4x/5=5x12

-4x=5x12

-4x=60

-4x/-4=60/-4

x=-15

4 0
2 years ago
Read 2 more answers
Write the equation in exponential form. log4 1/16 = -2
Allisa [31]
The answer is 4^-2 = 1/16
4 0
3 years ago
List five rational numbers between -4/5 and -2/3 . Please tell by step by step explaintion ​
attashe74 [19]

9514 1404 393

Answer:

  -0.67, -0.68, -0.69, -0.70, -0.71

Step-by-step explanation:

There are an infinite number of ways to do this.

Perhaps the simplest is to do it in decimal.

 -4/5 = -0.8

  -2/3 = -0.666... (repeating 6)

Any negative decimal number between these values will do. For example, ...

  -0.67, -0.68, -0.69, -0.70, -0.71

__

If you want to choose fractions that are evenly spaced between the given values, you can find their difference, then divide that difference into 6 parts (1 more than the number of numbers you need).

  -2/3 -(-4/5) = 4/5 -2/3 = (12 -10)/(5·3) = 2/15 . . . . length of interval

  1/6 of this difference is ...

     (1/6)(2/15) = 2/90 = 1/45

The interval end point nearest 0 is ...

  -2/3 = -30/45

so the 5 intermediate values will be that value with -1/45 repeatedly added:

  -31/45, -32/45, -33/45 = -11/15, -34/45, -35/45 = -7/9

_____

<em>Additional comment</em>

The fractions we came up with could be referred to as "5 arithmetic means between -2/3 and -4/5." There is nothing in the problem statement suggesting the values need to be evenly spaced.

When doing this in decimal, you can obtain a new value simply by adding more digits to the decimal fraction:

  -0.68, -0.685, -0.6853, -0.68531, -0.799

7 0
2 years ago
Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at ru
valina [46]
  1. For this study, we should use t-test and the null and alternative hypotheses would be given by H₀: μ = 7 and H₁: μ < 7.
  2. The test statistic is -1.941 and the p-value (0.0381) is <u>greater than</u> α = 0.01.
  3. Based on this, we should <u>fail to reject</u> the null hypothesis.
  4. Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

<h3>What is a null hypothesis?</h3>

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

<h3>How to calculate value of the test statistic?</h3>

The test statistics can be calculated by using this formula:

t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }

<u>Where:</u>

  • x is the sample mean.
  • u is the mean.
  • is the standard deviation.
  • n is the number of hours.

For this study, we should use t-test and the null and alternative hypotheses would be given by:

H₀: μ = 7

H₁: μ < 7

t=\frac{6.3\;-\;7}{\frac{1.3}{\sqrt{13} } }\\\\t=\frac{-0.7}{\frac{1.3}{3.6056 } }

t = -0.7/0.3606

t = -1.941.

For the p-value, we have:

P-value = P(t < -1.9412)

P-value = 0.0381.

Therefore, the p-value (0.0381) is <u>greater than</u> α = 0.01. Based on this, we should <u>fail to reject</u> the null hypothesis.

Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

Read more on null hypothesis here: brainly.com/question/14913351

#SPJ1

4 0
2 years ago
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