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2 years ago

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Tom caught 4 fish and his son caught 12 fish. The number of fish that Tom’s caught was what percent of the number of fish his so

n caught? What percent of the total amount did Tom catch?

1 answer:

Sever21 [200]2 years ago

6 0

His son caught 25% of the total fish and he caught 75%

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The diameter of a round dinner plate is 10 inches. What's the area of the plate?

Anni [7]

Lets say pi is 3.14
The area of a circle is: pi*radius squared
The radius is half the diameter so it is 5 inches.
3.14*5 squared 2
3.14*25
78.5inches squared

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3 years ago

Read 2 more answers

Find KL.<br> K<br> X-1<br> L<br> 12<br> M

Aneli [31]

Answer:

KL = 9

Step-by-step explanation:

(7 + x - 1)(x - 1) = 12²

(x + 6)(x - 1) = 144

x² -x + 6x - 6 = 144

reduce:

x² + 5x -150 = 0

(x + 15)(x - 10) = 0

x = -15, x = 10

KL = 10 - 1 = 9

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2 years ago

You notice a hot air balloon descending. The elevation h (in feet) of the balloon is modeled by the function h(x)=−6x+330, where

Anastasy [175]

Answer:

<h3>55 secs</h3>

Step-by-step explanation:

Given the elevation h (in feet) of the balloon modeled by the function h(x)=−6x+330, we can calculate the time it takes the balloon to reach the ground. The hot air balloon hits the ground at h(x) = 0.

Substitute h(x) = 0 into the modeled expression and find x as shown;

h(x)=−6x+330

0 = −6x+330

6x = 330

Divide both sides by 6

6x/6 = 330/6

x = 55 seconds

Hence the hot air balloon hits the ground after 55 seconds

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2 years ago

Question 1(Multiple Choice Worth 5 points)

Hoochie [10]

Answer:

Q1) D Q2) The final statement Q3) first statement Q4) (0,14) and (10,1)

Step-by-step explanation:

Q1) in this D has the most points therefore highest correlation

Q2) there is no correlation because the points cannot form a linear line

Q3) it does not touch all points but is extreamly close ans is therefore considered a correct linear correlation.

Q4) these points have the closest linear correlation

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2 years ago

Find the 95% confidence interval for estimating the population mean μ

AVprozaik [17]

We first need to determine whether we are dealing with means or proportions in this problem. Since we are given the sample and population mean, we know that we are dealing with means.

Since we have one sample mean, this means we are creating a confidence interval for one sample (1 Samp T Int).

Normally we would check for conditions, but since this is not formulated as a "real-world scenario" type problem, it is hard to check for randomness and independence. Therefore, I will be excluding conditions from this answer.

<h3>Confidence Interval Formula</h3>

The formula for constructing a <u>confidence interval for means</u> is as follows:

$\displaystyle \overline{x} \pm t^*\big{(}\frac{\sigma}{\sqrt{n} } \big{)}$

We are given these variables:

$\overline{x}=50$
$n=60$
$\sigma=10$

Plug these values into the formula for the confidence interval:

$\displaystyle 50\pm t^* \big{(}\frac{10}{\sqrt{60} } \big{)}$

<h3>Finding the Critical Value (t*)</h3>

In order to find t*, we can use this formula:

$\displaystyle \frac{1-C}{2}=A$

Calculating the z-score associated with "A" will give us t*.

So, let's plug in the confidence interval 95% (.95) into the formula:

$\displaystyle \frac{1-.95}{2}=.025$

Use your calculator or a t-table to find the z-score associated with this area under the curve.. you should get:

$t^*=1.96$

<h3>Constructing Confidence Interval</h3>

Now, let's finish the confidence interval we created:

$\displaystyle 50\pm 1.96 \big{(}\frac{10}{\sqrt{60} } \big{)}$

We can calculate the confidence interval, using this formula, to be:

$\boxed{(47.4697, \ 52.5303)}$

<h3>Interpreting the Confidence Interval</h3>

We are 95% confident that the true population mean μ lies between <u>47.4697 and 52.5303</u>.

8 0

1 year ago