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suter [353]
2 years ago
5

1/4 y + 9=1/2 A -34 b 2 c 9 d 38

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
5 0
¹/₄y + 9 = ½

¹/₄y = ½-9

¹/₄y = -¹⁷/₂

y = -34
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sleet_krkn [62]
X for left(blue)=43
x for right(red)=17.5
5 0
3 years ago
When 1 is subtracted from three- tenths of the number, the result is equal to one-fifth of a number. What is the number
Bas_tet [7]
Based on the given mathematical statement, it can be rewritten into a mathematical equation to simplify and to be solved easily. The statement, "When one is subtracted from three-tenths of a number" corresponds to the equation, 3x/10 - 1, that is assuming the number is represented by the variable x. This is equal to one-fifth of the number. In other words,
3x/10 - 1 = x/5
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8 0
2 years ago
If 2a-b:2a+b=1:2find the value of a:b​
weqwewe [10]

Answer & Step-by-step explanation:

2a - b : 2a + b = 1 : 2

2a - b = 1

-                         Elimination

2a + b = 2

-b - (b) = -1

-2b = -1

b = 0.5

---------------------------------------------------------------------------------

2a + b = 2           Substitution

2a + 0.5 = 2

2a = 1.5

a = 0.75

--------------------------------------------------------------------------------------

a:b

0.75 : 0.5

or

3/4 : 1/2

Hope this helps!!!

 

3 0
3 years ago
Bcc Medical Radiography program had 139 graduates. There were 25 more females than males. How many females and males graduated?
NISA [10]
F=m+25

m+f=139, using f from above we have:

m+(m+25)=139

2m+25=139

2m=114

m=57, and since f=m+25

f=82

So there are 57 males and 82 females.
8 0
3 years ago
If t follows a t7 distribution, find t0 such that (a) p(|t | < t0) = .9 and (b) p(t > t0) = .05.
Thepotemich [5.8K]

Answer:

a) P(-t_o < t_7

Using the symmetrical property we can write this like this:

1-2P(t_7

We can solve for the probability like this:

2P(t_7

P(t_7

And we can find the value using the following excel code: "=T.INV(0.05,7)"

So on this case the answer would be t_o =\pm 1.895

b) For this case we can use the complement rule and we got:

1-P(t_7

We can solve for the probability and we got:

P(t_7

And we can use the following excel code to find the value"=T.INV(0.95;7)"

And the answer would be t_o = 1.895

Step-by-step explanation:

Previous concepts

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.  

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Solution to the problem

For this case we know that t \sim t(df=7)

And we want to find:

Part a

P(|t|

We can rewrite the expression using properties for the absolute value like this:

P(-t_o < t_7

Using the symmetrical property we can write this like this:

1-2P(t_7

We can solve for the probability like this:

2P(t_7

P(t_7

And we can find the value using the following excel code: "=T.INV(0.05,7)"

So on this case the answer would be t_o =\pm 1.895

Part b

P(t>t_o) =0.05

For this case we can use the complement rule and we got:

1-P(t_7

We can solve for the probability and we got:

P(t_7

And we can use the following excel code to find the value"=T.INV(0.95;7)"

And the answer would be t_o = 1.895

5 0
3 years ago
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