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Mazyrski [523]
3 years ago
6

Plz answer quick (porportions) and how to solve it

Mathematics
1 answer:
Mrac [35]3 years ago
4 0
Around 120, converting 20 to 200.
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A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measurin
Ratling [72]

Answer:

The standard deviation of weight for this species of cockroaches is 4.62.

Step-by-step explanation:

Given : A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams.

To find : What is the approximate standard deviation of weight for this species of cockroaches?

Solution :

We have given,

Mean \mu=50

The sample mean x=55

A lab assistant reports that 14% of the cockroaches weigh more than 55 grams.

i.e. P(X>55)=14%=0.14

The total probability needs to sum up to 1,

P(X\leq 55)=1-P(X>55)

P(X\leq 55)=1-0.14

P(X\leq 55)=0.86

The z-score value of 0.86 using z-score table is z=1.08.

Applying z-score formula,

z=\frac{x-\mu}{\sigma}

Where, \sigma is standard deviation

Substitute the values,

z=\frac{x-\mu}{\sigma}

1.08=\frac{55-50}{\sigma}

1.08=\frac{5}{\sigma}

\sigma=\frac{5}{1.08}

\sigma=4.62

The standard deviation of weight for this species of cockroaches is 4.62.

4 0
3 years ago
Complete the table of values for y = -2x + 11<br><br>Can you help? ​
maks197457 [2]

Answer:

x  0  1  2  3  4

y  11  9 7  5  3

Step-by-step explanation:

basically you just plug in all of the x values shown in the table into the equation, to find the matching y values.

i hope this helps :)

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3 years ago
A line intersects the point (3,-4) and has a slope of 17. What is the slope-intercept equation for this line? y = 17x + [?]​
Ilya [14]
We can plug in the values of this point to find b
-4 = 17 (3) +b
We will multiply 17 times 3
-4 = 51 + b
We then subtract by 51 on both sides
-55 = b
So the full equation will be
y = 17x - 55
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3 years ago
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Please answer this correctly
Alexeev081 [22]

Answer:

65

Step-by-step explanation:

3 0
3 years ago
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Micah has two valuable watches.
BlackZzzverrR [31]

Answer:£149

Step-by-step explanation:

8 0
3 years ago
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