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2 years ago

What is the value of x in the proportion (x-1)/5=(4x+2)/35

1 answer:

4 0

(x-1)/5 = (4x + 2)/35

lets start off by multiplying each side by 5

(x-1) = 5(4x + 2)/35

then let's multiply both sides by 35

35(x-1) = 5(4x + 2)

now let's distribute the coefficients (5 and 35) into everything in the brackets

35 times x is 35x
35 rimes 1 is 35

5 times 4x is 20x
5 times 2 is 10

(35x - 35) = (20x + 10)

we can add 35 to both sides

35x = 20x + 45

then subtract 20x on both sides

15x = 45

then divide both sides by 15

x = 3

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the claim that 20% of americans know their credit score is tested. suppose that the sample evidence causes us to fail to reject

kipiarov [429]

Answer:

Conclusion : People ≠ 20% don't know about their credit score.

Step-by-step explanation:

Hypothesis is testing a statement for its statistical significance.

Null Hypothesis (H0) implies 'no difference from tested value', Alternate hypothesis (H1) implies 'significant difference from tested value'

Let % of people knowing their credit score = CS

H0 : CS = 20

H1 : CS ≠ 20

If the null hypothesis is rejected, it implies that we reject the claim that CS i.e '% of americans knowing their credit score = 20%'. So, the alternate hypothesis is accepted, i.e we conclude that '% americans knowing their credit score ≠ 20%'.

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3 years ago

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Olegator [25]

mhorn seems to be correct

Step-by-step explanation:

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2 years ago

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A trimming operation at a local manufacturer produces rods whose length conforms to unifrom distribution with a minimum of 18cm

MariettaO [177]

Answer:

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

Step-by-step explanation:

Given: uniform distribution with min and max values of 18 and 33 respectively.

To find : probability density for upper cumulative frequency i.e 25.8 at least means x $\geq$ 25.8 upto 33 cm i.e the maximum limit of function.

Solution:

we have by definition , of uniform distribution

we get , probability density function defines as :

<em>F(x,a,b)= </em> $\frac{1}{b-a}$ <em> </em> $a\leq x\leq b$

=1/(33-18)=1/15=0.0667.

this is probability density function.

here the x=25.8 , a=18 and b=33

for lower cumulative frequency it defines as ;

P(x,a,b)= $\frac{x-a}{b-a}$ =25.8-18/33-18=0.52

for upper cumulative frequency it defines as ;

Q(x,a,b)=b-x/b-a=33-25.8/33-18=0.48

here at least 25.8 cm probability means it should be greater than a value(18cm) hence it is provided by the upper cumulative frequency

i.e. Q(x,a,b)=0.48

The probability that randomly selected road will be at least 25.8 cm long will be 48%.

7 0

2 years ago

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anyanavicka [17]

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5 0

2 years ago

What is the image of (6,−3) after a dilation by a scale factor of 1/3 centered at the origin?

attashe74 [19]

Answer:

(2,-1)

Step-by-step explanation:

Multiply everything by 1/3:

6*1/3=2

-3*1/3=-1

This makes it smaller, so you know what the dilation is.

6 0

2 years ago