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OLga [1]
1 year ago
6

Given fx = vneiolfjwijfewjfwe

Mathematics
1 answer:
Sindrei [870]1 year ago
5 0

<u>Part</u><u> </u><u>(</u><u>a</u><u>)</u>

f(3)=5(3)-3=\boxed{12}

<u>Part</u><u> </u><u>(</u><u>b</u><u>)</u>

5x-3=-28 \\ \\ 5x=-25 \\ \\ x=\boxed{-5}

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Line / is shown on the graph below. If another line is drawn, perpendicular to line I, what must be its slope?
juin [17]

Answer:

Undefined

Step-by-step explanation:

The slope on the graph is horizontal so there's no slope and the answer is just y = 3

For a line to be perpendicular to a horizontal line, it is going to be a vertical line.

All vertical lines have an undefined slope.

7 0
2 years ago
Of the population of all fruit flies we wish to give a 90% confidence interval for the fraction which possess a gene which gives
maks197457 [2]

Answer:

The margin of error for the 90% confidence interval is of 0.038.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

To this end we have obtained a random sample of 400 fruit flies. We find that 280 of the flies in the sample possess the gene.

This means that n = 400, \pi = \frac{280}{400} = 0.7

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

Give the margin of error for the 90% confidence interval.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.645\sqrt{\frac{0.7*0.3}{400}}

M = 0.038

The margin of error for the 90% confidence interval is of 0.038.

8 0
3 years ago
What is the 23rd term of the arithmetic sequence where a1 = 8 and a9 = 48?
yKpoI14uk [10]
a_1=8
a_2=a_1+d=8+d
a_3=a_2+d=(8+d)+d=8+2d
a_4=a_3+d=(8+d)+2d=8+3d
...
a_9=8+8d=48\implies d=5
a_{10}=8+9d
...
a_{23}=8+22d=118
8 0
3 years ago
Read 2 more answers
explain how proving two triangles congruent can help prove parts of the triangle congruent will do branliest
AleksAgata [21]

How many facts does it take to make triangles congruent? Only 3 if they are the right three and the parts are  located in the right place.

SAS where 2 sides make up one of the three angles of a triangle. The angle must between the 2 sides.

ASA where the S (side) is common to both the two given angles.

SSS where all three sides of one triangle are the same as all three sides of a second triangle. This one is my favorite. It has no exceptions.

In one very special case, you need only 2 facts, but that case is very special and it really is one of the cases above.

If you are working with a right angle triangle, you can get away with being given the hypotenuse and one of the sides. So you only need 2 facts. It is called the HL theorem. But that is a special case of SSS. The third side can be found from a^2 + b^2 = c^2.

You can also use the two sides making up the right angle but that is a special case of SAS.

Answer

There 6 parts to every triangle: 3 sides and 3 angles. If you show congruency, using any of the 3 facts above, you can conclude that the other 3 parts of the triangle are congruent as well as the three that you have.

Geometry is built on that wonderfully simple premise and it is your introduction to what makes a proof. So it's important that you understand how proving parts of congruent triangles work.

5 0
3 years ago
Distributed property (2×40) + (2 x3)​
SpyIntel [72]

Answer:

86

Step-by-step explanation:

4 0
3 years ago
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