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olga nikolaevna [1]
3 years ago
12

Ms clark has 10 boxes of markers.each box contains 9 markers how many markers does Ms clark have in total

Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0

The answer is 900 because 10 boxes multiplied by 9 is 900  

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A ball is thrown in the air from the top of a building. Its height, in meters above ground, as a function of time, in seconds, i
kirza4 [7]

Answer:

It would take 2 second to reach its maximum height.

The maximum height of the ball is 43.6 meters above the ground.

Step-by-step explanation:

Consider the provided function.

h(x)=-4.9x^2+19.6x+24

The above function's graph is a downward parabola and the maximum of the downward parabola is at its vertex.

We can find the x coordinate of the function using the formula: \frac{-b}{2a}

Substitute a=-4.9 and b=19.6 in \frac{-b}{2a}

x=\frac{-19.6}{2(-4.9)}

x=\frac{19.6}{9.8}

x=2}

Hence, it would take 2 second to reach its maximum height.

Substitute x=2 in above formula.

h(2)=-4.9(2)^2+19.6(2)+24

h(2)=-19.6+39.2+24

h(2)=43.6

Hence, the maximum height of the ball is 43.6 meters above the ground.

6 0
3 years ago
2 + 7c - 4c2 – 3c + 4
iragen [17]

Answer:

-4c² + 4c +6

Step-by-step explanation:

combine like terms

2+ 4 = 6

7c - 3c = 4c

- 4c

Hope this helps!

8 0
3 years ago
Read 2 more answers
Parts being manufactured at a plant are supposed to weigh 65 grams. Suppose the distribution of weights has a Normal distributio
andrew-mc [135]

Answer:

0.64%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 75 grams and a standard deviation of 22 grams.

This means that \mu = 75, \sigma = 22

Sample of 144:

This means that n = 144, s = \frac{22}{\sqrt{144}} = 1.8333

More than 80 or less than 70:

Both are the same distance from the mean, so we find one probability and multiply by 2.

The probability that it is less than 70 is the pvalue of Z when X = 70. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{70 - 75}{1.8333}

Z = -2.73

Z = -2.73 has a pvalue of 0.0032

2*0.0032 = 0.0064.

0.0064*100% = 0.64%

The probability is 0.64%.

3 0
3 years ago
Is the sqrt of 102 a rational or irrational number?
lesantik [10]

Answer:

Yes, 102 isn't a square number (1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144) so the square root of 102 will keept going forever and is irrational.

Step-by-step explanation:

basically

4 0
3 years ago
What is the slope of the line that passes through the pair of points (1/3, -1) and ( -2, 9/2)​
UkoKoshka [18]

Answer:

\boxed{m = - \frac{33}{14} }

.

Step-by-step explanation:

Use the form below

\boxed{\boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }}

Where

  • m is a slope
  • (x_1,~y_1) and (x_2,~y_2) are the point of the line

.

So, the slope is

(\frac{1}{3} ,~ -1) \to x_1 = \frac{1}{3} ~and~y_1 = -1

(-2,~ \frac{9}{2} ) \to x_2 = -2~and~y_2 = \frac{9}{2}

.

m = \frac{\frac{9}{2} -(-1)}{-2-\frac{1}{3} }

m = \frac{\frac{11}{2} }{\frac{-7}{3} }

m = \frac{11}{2} \div (-\frac{7}{3} )

m = \frac{11}{2} \times (-\frac{3}{7} )

m = - \frac{33}{14}

.

Happy to help:)

7 0
3 years ago
Read 2 more answers
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