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oksano4ka [1.4K]
3 years ago
13

There are two mystery numbers. The sum of 2 times the first number and 5 times the second number is -5. The sum of 3 times the f

irst number and 10 times the second number is -5. What are the two numbers?
Mathematics
2 answers:
poizon [28]3 years ago
8 0

Answer:

X=-5,Y=1

Step-by-step explanation:

First equation: 2X+5Y=-5

Second equation:3X+10Y=-5

If we subtract the first from the second equation

(3X+10Y)-(2X+5Y)= 0 so, X+5Y= 0

So X= -5Y .then substitute in the second equation

So ,3(-5Y)+10Y= -5 , therefore -15Y + 10Y=-5 so, -5Y=-5 which means that Y=1

Then substitute with that in the first equation so 2X+5= -5

2X= -10 therefore X=-5

Leokris [45]3 years ago
5 0

Answer:

the two numbers are -5 and 1

Step-by-step explanation:

Let x and y be the first number and second number respectively.

According to the question, we can find 2 equations:

2x + 5y = -5

3x + 10y = -5

On solving,

x = -5

y = 1

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In a bag, there are 5 red marbles, 2 blue marbles, and 3 purple marbles. What is the probability of drawing a purple marble?
Kitty [74]

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3/10 or 30%

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Then use a fraction to represent the three purple marbles: 3/10

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7 0
2 years ago
An agricultural field trial compares the yield of two varieties of tomatoes for commercial use – one is the common variety used
miv72 [106K]

Answer:

p-value 0.0124

Step-by-step explanation:

Hello!

In this experiment, 10 plots were randomly sampled and each plot was divided in a half, one half was planted with the common variety of tomato and the other half was planted with the new hybrid variety. At harvest time it was measured the pounds per plant harvested and the variable difference was established. This study variable is defined as the difference between the pounds per plant of the hybrid variety minus the pound per plant of the common variety. Symbolized: Xd: Xnew - Xcommon.

The purpose of this experiment is to test whether there is a difference between the yield of both species. This is a classic example of a paired test, in which you want to put two dependent samples to test. The easiest way to recognize this type of test, if it is not specified in the problem, is that both variables are measured in the same sampling unit. In this case, the sampling unit is "one plot" that was divided and both verities of tomatoes were planted on it.

This test is also called "paired samples T-test" and as a statistic, you have to use the Student t.

The data given is:

sample: 10 plots

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sample standard deviation Sd: 1.23ppp

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H₀:μd≤0

H₁:μd>0

α: 0.05

t=<u> Xd[bar] - μd</u> ~ t_{n-1}

       Sd/n

tt_{obs}= (1.05 - 0) / (1.23/√10) = 2.69

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the p-value for this test is also one tailed.

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The decision is to reject the null hypothesis.

I hope it helps!

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