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andriy [413]
3 years ago
13

Please help me out :((

Mathematics
1 answer:
olga_2 [115]3 years ago
6 0

Answer:

1) 5*x + 6 = 2 + 3*x

5*x - 3*x = 2 - 6

(5 - 3)*x = -4

2*x = - 4

x = -4/2 = -2

x = -2

We have only one solution.

2) 2*(6 - 2*y) = -1*(4*y - 9)

12 - 4*y = -4*y + 9

12 - 9 = -4*y + 4*y = 0

3 = 0

This is absurd, so this equation has no solution.

3) 2*z - 6 = 2*(z + 2) - 10

2*z - 6 = 2*z + 4 - 10

2*z - 6 = 2*z - 6

Here we have the exact same thing on both sides of the equation, then we have infinite solutions, this happens because z can take any value, and the equation will be true always.

4) We want to have no solutions, so we need to end with something like:

1 = 6

so, we start with:

5*x + 1 = 5*x + A

We want to find the value of A.

First, we can subtract 5*x in both sides, so we get:

1 = A

Now we just need to take A different than 1, for example, if A  = 2, then:

1 = 2

In this case the equation has no solutions, then we have:

5*x + 1 = 5*x + 2

5) We want to have one solution:

3*x - 3 = A*x + 11

We want to end with something like x = k

Let's solve the equation for x:

3*x - 3 = A*x + 11

3*x - A*x = 11 + 3

(3 - A)*x = 14

if we take A = 2, then:

(3 - 2)*x = 14

x = 14

So this equation has only one solution, the equation is:

3*x - 3 = 2*x + 11

6) We want to have infinitely many solutions, then we need to have the same thing on both sides, then we need to have an equation like:

8*x - 7 = 8*x - 7

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Approximately how much money would Manny have if he invested $1,200 at an interest rate
quester [9]

Answer:

$1,701.64

Step-by-step explanation:

(see attached for reference)

recall that for compound interest, the following formula applies:

A = P [1 + (r/n) ] ^ (nt), where

A = final amount (we are asked to find this)

P = Principal amount = $1,200

r = interest rate = 5% = 0.05

t = 7 years

n = 12

Substituting these into the equation,

A = 1200 [1 + (0.05/12) ] ^ [(12)(7)]

A =  $1,701.64

6 0
3 years ago
Whats the sum of 3/8 and 1/16 <br><br>a 1/6<br>b 4/24<br>c 7/16<br>d 1/4
Andreyy89
3/8 + 1/16= 7/16 
so it's c. 7/16
6 0
3 years ago
In the diagram AB=AD and
hammer [34]

Answer:

AC ≅ AE

Step-by-step explanation:

According to the SAS congruence theorem, if two triangles have 2 corresponding sides that are equal, and also have one included corresponding angle that are equal to each other in both triangles, both triangles are regarded as congruent.

Given ∆ABC and ∆ADC in the question above, we are told that segment AB ≅ AD, and also <BAC ≅ <DAC, the additional information that is necessary to prove that ∆ABC and ∆ADC are congruent, according to the SAS theorem, is segment AC ≅ segment AE.

This will satisfy the requirements of the SAS theorem for considering 2 triangles to be equal or congruent.

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a farmer wishes to test the effects of a new fertilizer on her wheat yield. she has four equal-sized plots of land-- one with sa
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Using the concept of Randomized Design ,we got 4 levels of treatment heave been done by farmer in this experiment.

1.Completely Randomized Design :-

A completely randomized design is basically the simplest experimental design, in terms of data analysis and convenience. With this design, subjects are randomly assigned to treatments.

This completely randomized design actually relies on randomization to control for the effects of extraneous variables. The experimenter actually assumes that, on average, extraneous factors will affect treatment conditions equally; so any relevant differences between conditions can fairly be attributed to the independent variable.

2.Double Blind Design :-

In an experiment, if subjects in the control group knows that they are receiving a placebo, the placebo effect will be reduced or will be eliminated; and the placebo will not serve its intended control purpose.

Blinding is basically the practice of not telling subjects whether they are receiving a placebo. In this way, subjects which are in the control and treatment groups experience the placebo effect equally. Often, knowledge of which groups receive placebos is also keep from analysts who evaluate the experiment. This practice is called double blinding. It prevents the analysts from "spilling the beans" to the subjects through subtle cues; and it assures that their evaluation is not tainted by the awareness of actual treatment conditions.

3.Matched Pairs Design :-

A matched pairs design is actually a special case of a randomized block design. It can be used when the experiment has basically only  two treatment conditions; and subjects can be grouped into pairs, on the basis of some blocking variable. Then, within each pair, subjects are randomly assigned to different treatments.

4.Randomized Block Design :-

With a randomized block design, the experimenter actually divides subjects into subgroups called blocks, such that the variability within blocks will become  less than the variability between blocks. Then, subjects within each block are randomly assigned to treatment conditions.

Hence, we got 4 levels of treatment have been done by farmer in this experiment.

To know more about Randomized Design ,visit here:

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5 0
1 year ago
The times of the runners in a marathon are normally distributed, with a mean of 3 hours and 50 minutes and a standard deviation
serious [3.7K]

The probability that a randomly selected runner has a time less than or equal to 3 hours and 20 minutes is 0.16 or 16%.

<h3>What is normally distributed data?</h3>

Normally distributed data is the distribution of probability which is symmetric about the mean.

The mean of the data is the average value of the given data.

The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

The times of the runners in a marathon are normally distributed, with

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Refere the probabiliity table attached below. The probability of Z being inside the 1 Standard daviation of mean is 0.84.

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