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2 years ago

Diagnostic Pre Test

Mathematics

1 answer:

choli [55]2 years ago

5 0

We can make this:

x^2=7x-12

This becomes:

x^2-7x+12=0

Factored form:

(x-4)(x-3)=0

The numbers are either 4 or 3, so D is correct

Hope this helped!

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The lengths of nails produced in a factory are normally distributed with a mean of 4.84 centimeters and a standard deviation of

Helga [31]

Answer:

Top 3%: 4.934 cm

Bottom 3%: 4.746 cm

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:

$\mu = 4.84, \sigma = 0.05$

Top 3%

Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.

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

$1.88 = \frac{X - 4.84}{0.05}$

$X - 4.84 = 0.05*1.88$

$X = 4.934$

Bottom 3%

Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.

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

$-1.88 = \frac{X - 4.84}{0.05}$

$X - 4.84 = 0.05*(-1.88)$

$X = 4.746$

8 0

3 years ago

A man buys a jacket birr 300 before VAT what is the VAT and the total cost?

Novosadov [1.4K]

Base price=300
Let VAT be x%

Now

Total VAT=0.x(300)

Total cost:-

300+300(0.x)

7 0

2 years ago

78 million converted in scientific notation

Lemur [1.5K]

The <em><u>correct answer</u></em> is:

7.8 × 10⁷

Explanation:

To write a number in scientific notation, we want the decimal behind the first non-zero digit in the number. The first non-zero digit in 78 is 7; this means we want 7.8. In order to have the decimal point behind the 7, we need to move the decimal 7 places. This is the exponent of 10 in our scientific notation, which gives us

7.8 × 10⁷

7 0

3 years ago

Choose the correct correspondence.

svp [43]

chapati Duniya Lagti Hai Duniya

6 0

3 years ago

I need to know the area of this triangle and I would like to have an explanation because I dont know how to do it I know the for

Anna [14]

Answer: 69

Step-by-step explanation: