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V125BC [204]
3 years ago
12

10. V=720 cmL=?P=15 cmT=8 cmA. 6 cmB. 8 cmC.10 cmD. 12 cm​

Mathematics
1 answer:
grin007 [14]3 years ago
5 0

Answer:

6 cm

Step-by-step explanation:

Given the information :

V=720 cm

L=?

P=15 cm

T=8 cm

The volume = L * P * T

V = L * P * T

720 = L * 15 * 8

720 = L * 120

L = 720 / 120

L = 6 cm

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determine if the quadratic equation has 2 solutions, one, or 2 imaginary solutions by using the descriminant
Maurinko [17]

Hello from MrBillDoesMath!

Answer:

31a.  2 real roots

31b   2 complex roots

Discussion:

31a.

2x^2 + 3x - 6 = 0

Using standard quadratic notation, the above equation has a  = 2, b = 3 and c = -6. The discriminant is given by b^2 - 4ac, which is

3^2 - 4*2*(-6) = 9 + 48 = 57 > 0, so the quadratic has 2 real roots


31b.

The equation is equivalent to  16x^2 + 10x  +3 = 0. Its discriminant is

10^2 - 4 * (16) * (3) = 100 - 192 = -92 so this equation has two complex roots



Regards,  

MrB


7 0
3 years ago
What is the product of (2x2 + 4x-2) and 3x+6)?​
Setler79 [48]

Answer:

{24x}^{2} + 42x - 12

8 0
3 years ago
At a large university, the mean amount spent by students for cell phone service is $58.90 per month with a standard deviation of
zhenek [66]

Answer:

2.28% probability that the mean amount of their monthly cell phone bills is more than $60

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 normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, 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.

In this problem, we have that:

\mu = 58.90, \sigma = 3.64, n = 44, s = \frac{3.64}{\sqrt{44}} = 0.54875

What is the probability that the mean amount of their monthly cell phone bills is more than $60?

This is 1 subtracted by the pvalue of Z when X = 60. So

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

By the Central Limit Theorem

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

Z = \frac{60 - 58.90}{0.54875}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

2.28% probability that the mean amount of their monthly cell phone bills is more than $60

4 0
3 years ago
-q-7q=8 whats q equal?
Luba_88 [7]
-q-7q=8
First you need to know that there is an invisible 1 in front of -q. Change it to -q if you need to. You get:
-1q-7q=8
add like terms: -1-7 gives you -8.
-8q=8. Divide by -8 on both sides to find q.
-8/8=-1
8/8=1
Therefore, q=1.
7 0
3 years ago
The graph shows the relationship between the number of pounds of pears purchase and the total cost of the pears.
Katarina [22]
The answer is $1.75 because that’s what the graph shows per pound of pears
6 0
3 years ago
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