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Darya [45]
3 years ago
8

The solution of the equation 2d - 6 = 5 is _____.

Mathematics
2 answers:
lilavasa [31]3 years ago
7 0
2d-6=5\\\\Add\ 6\ on\ both\ sides.\\\\2d=11\\\\Divide\ by\ 2\ on\ both\ sides.\\\\d= \frac{11}{2}\\\\d=5\frac{1}{2}

\sf\ Answer:\ {\boxed{d=5\frac{1}{2}}}
PIT_PIT [208]3 years ago
4 0
If you would like to solve the equation 2 * d - 6 = 5, you can do this using the following steps:

2 * d - 6 = 5
2 * d = 5 + 6
2 * d = 11    /2
d = 11/2
d = 5 1/2

The correct result would be 5 1/2.
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Consider the accompanying data on flexural strength (MPa) for concrete beams of a certain type.
Leona [35]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is X: flexural strength of concrete beams.

Data:

7.3 6.8 8.6 9.7 11.6 9.7 6.8 7.7 11.8 7.4 8.1 8.7 6.3 7.9 7.0 7.9 7.8 6.5 6.3 7.0 7.5 7.7 7.2 11.3 9.0 10.7 5.1

a.

The point estimate of the mean value is the sample mean. You calculate it using the following formula:

X[bar]= ∑X/n= 219.40/27= 8.1259≅ 8.13

b)x

b.

The point estimate that divides the sample in 50%-50% is the measure of central tendency called Median(Me).

To reach the median you have to calculate it's position (PosMe)

For uneven samples PosMe= (n+1)/2= (27+1)/2= 14 ⇒ This means that the Median is the 14th observation of the data set.

So next is to order the data from lower to heighest and identify the value in the 14th position:

5,1 ; 6,3; 6,3; 6,5 ; 6,8; 6,8; 7; 7; 7,2; 7,3; 7,4 ; 7,5 ; 7,7 ; 7,7 ; 7,8 ; 7,9 ; 7,9 ; 8,1 ; 8,6 ; 8,7 ; 9 ; 9,7 ; 9,7 ; 10,7 ; 11,3 ; 11,6 ; 11,8

Me= 7.7

d) x tilde

c.

The point estimate of the population standard deviation is the sample standard deviation. The standard deviation is the square root of the variance, so the first step is to calculate the sample variance:

S^2= \frac{1}{n-1}*[sumX^2-\frac{(sumX)^2}{n} ]

∑X²= 1858.92

S^2= \frac{1}{26}*[1858.92-\frac{219.40^2}{27} ] = 2.926

S= √2.926= 1.71

The standard deviation is a measurement of variability, it shows how to disperse the data is concerning the sample mean.

d. This estimate describes the spread of the data.

I hope it helps!

7 0
3 years ago
Given: △KLM, LM=20 3
egoroff_w [7]

Split the triangle into a 30-60-90 triangle. Since you have LM from that triangle, you can figure out the other sides. Then, using the leg from that triangle, the one next to it is a 45-45-90 triangle, meaning it's isosceles.

KM = 30 + 10√3

KL = 10√6

(sorry i'm not too sure if my "reasons" for statement/reason is correct)

6 0
2 years ago
Read 2 more answers
Find the area of the triangle.
Vsevolod [243]

Answer:

20 m²

Step-by-step explanation:

<u>Formula (Area of triangle):</u>

<u />\text{A (Triangle)} = \dfrac{1}{2}  \times \text{Base} \times \text{Height}

From the triangle, we can see that the base of the triangle is "7 + 3" m and the height of the triangle is "4" m.

<u />\implies \text{A (Triangle)} = \dfrac{1}{2}  \times (7 + 3) \times (4)

Simplify the right-hand-side as needed to evaluate the area.

<u />\implies \text{A (Triangle)} = \dfrac{1}{2}  \times (10) \times (4)

<u />\implies \text{A (Triangle)} = \dfrac{40}{2}  = 20 \ \text{m}^{2}

Therefore, the area of the provided triangle is 20 m².

Learn more about this topic: brainly.com/question/15442893

8 0
2 years ago
AB 1 CD. Find x.<br> 4x + 50
yKpoI14uk [10]

Answer:

4x +50=90

X=(90-50):4

X=10

8 0
2 years ago
Find the value of x.
mixas84 [53]

Answer:

x=3

Step-by-step explanation:

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8 0
3 years ago
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