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2 years ago

D2-9k+3 for d=10 and k=9

Mathematics

1 answer:

AVprozaik [17]2 years ago

8 0

Answer:

Step-by-step explanation:

10^2-9(9)+3

100-81+3

19+3

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If ∆ABC and ∆GEF are congruent, the value of x is___? and the value of y is ___?

attashe74 [19]

Answer-

The value of y is 6 units.

Solution-

Given ∆ABC ≅ ∆GEF

If two triangles are congruent, then the corresponding sides are also congruent.

So,

EF = BC, GF = AC

Putting the values,

$\Rightarrow x-y=4$ --------------1

$\Rightarrow x-8=2$

$\Rightarrow x=10$ --------------------2

Putting the values of x in equation 1,

$\Rightarrow 10-y=4$

$\Rightarrow y=10-4=6$

Therefore, the value of y is 6 units.

7 0

2 years ago

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The mean life of a television set is 119 months with a standard deviation of 13 months. If a sample of 67 televisions is randoml

PIT_PIT [208]

Answer:

Provided in the picture below.

Step-by-step explanation:

Provided in the picture below.

5 0

2 years ago

Expand: f(x) = x4 − x3 + x2 + x −

nikitadnepr [17]

Answer:

(x+3)(x+2)

Step-by-step explanation:

6 0

2 years ago

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A log is 16m long, correct to the nearest metre. It has to be cut into fence posts which must be 70cm long, correct to the neare

dmitriy555 [2]

Answer:

25 posts

Step-by-step explanation:

So the number of fence post would be the total length of the log divided by the length of each post. As the log is 16m and is corrected to the nearest metre, it could possibly be 16.499m. As for the post that is 70 cm long and corrected to the nearest 10cm, it may as well be 65 cm (or 0.65m) each post

So the max number of fence point once can possibly cut from the log would be

16.499 / 0.65 = 25 posts

5 0

2 years ago

Last year your professor wanted to study the pattern in class grades. The following table contains a sample of grades collected

Maslowich

Answer:

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

Step-by-step explanation:

Mean:-

The mean (average) is found by adding all of the numbers together and dividing by the number of items and it is denoted by x⁻

mean = $\frac{64+80+75+98+75}{5}$

mean (x⁻ ) = 78.4

The mean of the given data = 78.4

Median:

The median is found by ordering the set from lowest to highest and finding the exact middle.

64 ,75, 80, 98

The middle term of the given data set = $\frac{75+80}{2} =77.5$

Mode :

The mode is the most common repeated number in a data set.

64 ,75, 75, 80, 98

in data the most common number = 75

Conclusion:-

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

8 0

2 years ago