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seraphim [82]
3 years ago
6

James needs 50 tons of dirt for a large construction project. He already has 3 tons of dirt at the construction site. Each dump

truck can transport 8 tons of dirt. How many trips does the dump truck need to take to reach 50 tons of dirt?
Mathematics
2 answers:
slamgirl [31]3 years ago
5 0
He is going to need at least 6 more dump trucks of dirt. 5 will be completely full, and the last one will have to be at least 88% full.
levacccp [35]3 years ago
4 0
Do 50-3 and u get or the remaining tons of dirt u need, now divide that by8 to get 47 divide by 8 or 5 R7, add 5+1=6 trips or B.

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Explain how you have solved for x and show your workings out. I will award the brainliest 25 points!
Brums [2.3K]

Answer:

The value of x is 10º.

Step-by-step explanation:

From Euclidean Geometry we remember that the sum of internal angles within a triangle equals to 180º. We present the resulting triangle after applying some geometric handling in the image attached below. Then, the triangle satisfies the following equation:

100^{\circ} + (80^{\circ}-5\cdot x)+(4\cdot x +10^{\circ}) = 180^{\circ} (1)

190^{\circ} - x = 180^{\circ}

x = 10^{\circ}

The value of x is 10º.

5 0
3 years ago
Scores on a college entrance exam are normally distributed with a mean of 550 and a standard deviation of 100. Find the value th
Alinara [238K]

Answer:

The value that represents the 90th percentile of scores is 678.

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 550, \sigma = 100

Find the value that represents the 90th percentile of scores.

This is the value of X when Z has a pvalue of 0.9. So X when Z = 1.28.

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

1.28 = \frac{X - 550}{100}

X - 550 = 100*1.28

X = 678

The value that represents the 90th percentile of scores is 678.

4 0
3 years ago
Definition of classic probability
12345 [234]
Classical probability is the statistical concept that measures the likelihood of something happening, but in aclassic sense, it also means that every statistical experiment will contain elements that are equally likely to happen.
7 0
3 years ago
Evaluate -3x^2-4x=-1
Butoxors [25]
Use the Quadratic formula, 

x= -b +/- sqrt(b^2-4ac)
     -------------------------
                2a

x= 4 +/- sqrt(16+12)
     ----------------------
              -6

x = 4+/- sqrt(28)
      ---------------
            -6

x = 4 +/- 2*sqrt(7)
      ------------------
              -6

x= 2(2+/- sqrt(7))
     ------------------
            2(-3)


x= 2+/- sqrt(7)
     --------------
           -3
5 0
3 years ago
Tell whether the triangle with the given side lengths is a right triangle.
kramer

Answer:

no

Step-by-step explanation:

so in order for it to be a right triangle this would have to be true:

a^2 + b^2 = c^2

since c represents the hypoteneuse, it will be the longest side. so:

60^2 + 63^2 = 88^2

3600 + 3969 = 7744

7569 = 7744

since that statement is not true, the answer is no.

it is not a right triangle  

the square root of 7569 is 87, so the triple would have to be : {60,63,87}

4 0
2 years ago
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