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AVprozaik [17]
3 years ago
10

Choose the correct translation for the given statement.

Mathematics
2 answers:
Rainbow [258]3 years ago
8 0

Answer: x > 10

<u>Step-by-step explanation:</u>

NOTE: exceed means "greater than"

x < 10   <em>x is less than 10</em>

x ≤ 10   <em>x is less than or equal to 10</em>

x > 10   <em>x is greater than 10</em>

x ≥ 10   <em>x is greater than or equal to 10</em>

pogonyaev3 years ago
6 0

Answer:  The correct option is (C) x>10.

Step-by-step explanation:  We are given to choose the correct translation for the following statement :

"It must exceed ten".

Let x denotes the quantity that we are talking about.

Since x must exceed ten, so the value of x must be greater than 10, neither less than nor equal to 10.

Therefore, the required translation for the given statement is :

x>10.

Thus, (C) is the correct option.

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A manufacturer makes golf balls whose weights average 1.62 ounces, with a standard deviation of 0.05 ounces. Estimate the probab
saul85 [17]

Answer:

P(-1 < z < 1)  = 0.3174

Step-by-step explanation:

Mean (μ) = 1.62 ounces

Standard Deviation (σ) = 0.05

No of balls (sample size n) = 100

X = weight of a ball

Weight of a group of 100 balls must lie in the range 162 ± 0.5 ounces i.e. weight of a single ball will be 162/100 ± 0.5/100 ounces = 1.62 ± 0.005 ounces.

So, we need to find the probability P (1.615 < X < 1.625). We will use the central limit theorem.

z = (Χ' - μ)/(σ/\sqrt{n})

P (1.615 < X < 1.625) = (\frac{1.615 - 1.62}{0.05/\sqrt{100} } < (Χ - μ)/(σ/\sqrt{n}) < \frac{1.625 - 1.62}{0.05/\sqrt{100} })

                                = (-1 < z < 1)

We need to find the probability of P (-1 < z < 1) by looking at the Normal Distribution Probability Table.

In order to make our working simpler, we need to break P (-1 < z < 1) into two parts: P(z < 1) and P(z > -1)

The probability for areas under the normal curve are given for P(z>X) so we can directly find the probability of P (z > -1) by referring to the normal probability table.

P(z > -1) = 0.1587

We can calculate P(z < 1) by subtracting P(z >1) from the total probability (i.e. 1). P(z >1) can be obtained from the normal probability table.

P(z < 1) = 1 - 0.8413 = 0.1587

By adding the two probabilities together, we get:

P(-1 < z < 1) = P(z < 1) + P (z > -1)

                   = 0.1587 + 0.1587

P(-1 < z < 1)  = 0.3174

6 0
3 years ago
Make sure to show all steps it took to answer this question
Gekata [30.6K]

Answer:

Doctor 1's average is 12 while doctor 2 is 16

Step-by-step explanation:

doctor 1:

20+22+29+15=17=18+1+1+2+3+7+9=144/12=12

doctor 2: 35+20+20+22+23+26+13+17+2+2+3+9=192/12=16

6 0
3 years ago
Read 2 more answers
Convert 562 hectograms to pounds to the nearest hundredth
finlep [7]

Answer:

Is that your answer

6 0
2 years ago
Read 2 more answers
What is the counter example for 'if you do not eat beef then you're not vegetarian'
slamgirl [31]

Answer: If you're not vegetarian, then you do not eat beef.

Step-by-step explanation:

Dismiss the 'if' and 'then':

- you do not eat beef

- you're not vegetarian

Now, all you have to do is switch their places:

- you're not vegetarian

- you do not eat beef

Now add the 'if' and 'then' back:

If you're not vegetarian, then you do not eat beef.

4 0
2 years ago
If the ceos salary of 1,000,000 is taken out of the list what I would happen to the mean and median 25,25,25,35,35,45,45,55,55
Mama L [17]

Answer:

Both the mean and median decrease.

Step-by-step explanation:

Median (without 1,000,000):

<em>25, 25, 25, 35</em>, 35,<em> 45, 45, 55, 55</em>

= 35

Median (with 1,000,000):

<em>25, 25, 25, 35</em>, 35, 45, <em>45, 55, 55, 1,000,000</em>

= average of 35 and 45

= 40

As you can see, without the outlier, the value of the median decreases.

Mean (without 1,000,000):

= (25 + 25 + 25 + 35 + 35 + 45 + 45 + 55 + 55) / 9

= 38.3

Mean (with 1,000,000):

= (25 + 25 + 25 + 35 + 35 + 45 + 45 + 55 + 55 + 1,000,000) / 10

= 100,0034.5

As you can see, without the outlier, the value of the mean dramatically decreases.

6 0
2 years ago
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