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Tanzania [10]
3 years ago
14

Find the solution of 4(x+3)=2(2x+9)

Mathematics
2 answers:
blagie [28]3 years ago
7 0

Answer:

0=6       so there is no solution

Step-by-step explanation:

4(x+3)=2(2x+9)

expand the brackets

4x+12=4x+18

-12 on both sides

4x=4x+6

-4x on both sides

0=6

Phoenix [80]3 years ago
5 0

Answer:

There are no solutions to this question.

Step-by-step explanation:

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Logan is a land surveyor. He wants to determine d, the distance across a lake that cannot be directly measured. He draws this di
Mice21 [21]

Answer:

The first option     (5.7km)

Step-by-step explanation:

Since we have a right angle triangle and we know two of its sides we can easily find out the thirds side (the value of d) by using the Pathagoras Theorem. In our case 7 and d are our legs and the hypotenuse is equal to 9, so...

(Based on the Pathagoras Theorem)

c^{2} = a^{2}  + b^{2}

9^{2} = 7^{2} + d^{2}

d^{2} = 9^{2} - 7^{2} \\d^{2} = 81 - 49\\d^{2} = 32\\d = \sqrt{32}\\

d ≈ 5.7km

There for aproximate distance across the lake is equal to 5.7km

7 0
3 years ago
Read 2 more answers
Give a 98% confidence interval for one population mean, given asample of 28 data points with sample mean 30.0 and sample standar
klio [65]

We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:

\begin{gathered} 1-\alpha=0.98 \\ \alpha=0.02 \end{gathered}

The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:

CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack

Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:

CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack

Where (from tables):

Z_{0.99}=2.33

Finally, the interval at 98% confidence level is:

CI(\mu)=\lbrack28.94,31.06\rbrack

4 0
1 year ago
Please help I need answers #5 and #6 more, but if you could do all that would be great thanks it’s urgent!!!
Rudiy27

Answer:

Step-by-step explanation:

Answer for #5

Two Points M(-7,1) and N(5,1).

1. Formula is Distance = \sqrt{(x2-x1)^2 - (y2-y1)^2}

2. Let’s say (x1,y1) = (-7,1) and (x2,y2) =(5,1)

3. Distance = \sqrt{(5-(-7))^2 + (1-1)^2} = \sqrt{(5+7)^2-(0)^2} = \sqrt{(12)^2+0} =\sqrt{144} = 12}

so distance between two warehouses is 12 miles

Answer #6

In the question it is saying the “Distance between two stores is half the distance between warehouses“ so it is   \frac{12}{2} = 6 miles

Answer #7

S1(-4,1) and distance of S1 and M is 3 Miles.

Answer #8

S2(2,1) and distance of S2 and M is 3 miles.

4 0
3 years ago
How do I solve this problem
Anton [14]
What does the rest of the problem say?

5 0
2 years ago
In the diagram, which angles are vertical angles? Check all that apply.
dybincka [34]
The vertical angles made is ABE and CBD, Thus meaning that your answer is B
5 0
3 years ago
Read 2 more answers
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