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Ne4ueva [31]
3 years ago
6

Y varies directly as x and y=0.5 when x=2. What is y when x=10?

Mathematics
2 answers:
WINSTONCH [101]3 years ago
7 0

y=0.25x

Step-by-step explanation:

the initial statement is

y

∝

x

to convert to an equation multiply by k the constant of

variation

⇒

y

=

k

x

to find k use the given condition

y

=

0.5

when

x

=

2

y

=

k

x

⇒

k

=

y

x

=

0.5

2

=

0.25

Sholpan [36]3 years ago
3 0

Answer:

y=2.5

Step-by-step explanation:

Proportion

(2/.5)=(10/y)

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complementary

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Step-by-step explanation:

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45 + b = 90

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If S is the midpoint of RT , RS=8x+11 and ST =14x-1 find x
garri49 [273]

Answer:

From the given, we establish this relationship:

RS + ST = RT

RS = ST since S is the midpoint of RT

Thus, let's use RS = ST to find x,

By substituting the given expressions:

RS = ST

8x + 11 = 14x - 1

12 = 6x

x = 12/6

thus,

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4 0
4 years ago
The sum of the digits of a two-digit number is 5. If the number is multiplied by 3, the result is 42. Write and solve a system o
Elenna [48]
A two digit number has a tens digit and a ones digit.
Let's say x = tens digit and y = ones digit

"The sum of the digits is 5"
x + y = 5

The next phrase is "the number multiplied by 3 is 42" but we need to represent the number using the digits. So they need to be multiplied first by their place value and added together. [Example: 34 = 3(10) + 4(1)]

The number is: 10x + y
3(10x + y) = 42

The system of equations: (two equations for two unknowns)
x + y = 5
30x + 3y = 42

Then you can use substitution or elimination to combine and solve.
I'll use elimination, multiply the entire top equation by -3 and add the equations together. y will cancel out

-3x - 3y = -15
30x + 3y = 42
------------------
27x + 0 = 27
x = 1

then plug x = 1 into either equation to find y

1 + y = 5
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6 0
4 years ago
Will a large-sample confidence interval be valid if the population from which the sample is taken is not normally distributed? e
Dovator [93]

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

Yes, the large-sample confidence interval will be valid.

<h3>What is meant by normal distribution?</h3>

A normal distribution is a type of continuous probability distribution for a real-valued random variable in statistics.

The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data far from the mean.

The confidence interval will be valid regardless of the shape of the population distribution as long as the sample is large enough to satisfy the central limit theorem.

<h3>What does a large sample confidence interval for  a population mean?</h3>

A sample is considered large when n ≥ 30.

By 'valid', it means that the confidence interval procedure has a 95% chance of producing an interval that contains the population parameter.

To learn more about normal distribution, refer to:

brainly.com/question/23418254

#SPJ4

8 0
2 years ago
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