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3 years ago

Write an inequality for the following situation

Mathematics

1 answer:

jeka943 years ago

8 0

No more means less or equal.So, correct answer is A. x ≤ 8 .

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Scores on a test are normally distributed with a mean of 81.2 and a standard deviation of 3.6. What is the probability of a rand

Misha Larkins [42]

Answer:

The probability of a randomly selected student scoring in between 77.6 and 88.4 is 0.8185.

Solution:

Given, Scores on a test are normally distributed with a mean of 81.2

And a standard deviation of 3.6.

We have to find What is the probability of a randomly selected student scoring between 77.6 and 88.4?

For that we are going to subtract probability of getting more than 88.4 from probability of getting more than 77.6

Now probability of getting more than 88.4 = 1 - area of z – score of 88.4

$\mathrm{Now}, \mathrm{z}-\mathrm{score}=\frac{88.4-\mathrm{mean}}{\text {standard deviation}}=\frac{88.4-81.2}{3.6}=\frac{7.2}{3.6}=2$

So, probability of getting more than 88.4 = 1 – area of z- score(2)

= 1 – 0.9772 [using z table values]

= 0.0228.

Now probability of getting more than 77.6 = 1 - area of z – score of 77.6

$\mathrm{Now}, \mathrm{z}-\text { score }=\frac{77.6-\text { mean }}{\text { standard deviation }}=\frac{77.6-81.2}{3.6}=\frac{-3.6}{3.6}=-1$

So, probability of getting more than 77.6 = 1 – area of z- score(-1)

= 1 – 0.1587 [Using z table values]

= 0.8413

Now, probability of getting in between 77.6 and 88.4 = 0.8413 – 0.0228 = 0.8185

Hence, the probability of a randomly selected student getting in between 77.6 and 88.4 is 0.8185.

4 0

3 years ago

Helppp please reallly fasttt!!!

Bingel [31]

Answer:

Step-by-step explanation:

$3^{2}+ 7^{2} = EF^{2}$

$58=EF^{2}$

$EF=\sqrt{58}$

4 0

3 years ago

Need answer for d with working

son4ous [18]

Answer:

Question D.

Pretty simple if you know what the distributive property is. In this equation, you notice 2 fractions outside the parenthesis. This means you must multiply this fraction by every number within its corresponding parenthesis. So, if you distribute the new equation would be $(\frac{5}{4}y+ 1)=(\frac{2}{3}y-\frac{1}{3})$ . After this isolate the variable y and solve. I'll leave that to you so you can get something out of it, because my entire explanation would be useless if you just looked at the answer and left, not knowing how to do it in the future. :)

4 0

3 years ago

Of the smoothie sold yesterday at Isaac's smoothie shop 1/4 we're banana and another 2/3 were strawberry What fraction of smooth

lesya [120]

Answer:

11/12

Step-by-step explanation:

Fraction of smoothie that is Banana = 1/4

Fraction of smoothie that is strawberry = 2/3

The fraction of smoothies that were either banana or strawberry

= 1/4 + 2/3

Least Common Denominator= 12

= (3 × 1 + 2 × 4)/12

= 3 + 8/12

= 11/12

The fraction of smoothies were either banana or strawberry is 11/12

4 0

3 years ago

Studentka2010 [4]

Answer:

Hello! answer: 12 cm

Step-by-step explanation:

60 ÷ 5 = 12 Therefore. the height is 12 hope that helps!

8 0

3 years ago