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3 years ago

I need help with this one exercise to finish so any help would be greatly appreciated!

Mathematics

1 answer:

Elodia [21]3 years ago

4 0

Answer:

No Solutions

Step-by-step explanation:

for |4x -3| + 10 < 2

|4x - 3| < -8

Not possible since absolute value is positive

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Please explain I just started learning this

Digiron [165]

Answer:

x=5

y=7

Step-by-step explanation:

y = x+2 so plug that in the next equation as y

so it be --> 5x+(-4)(x+2)= -3 now use distributive property

(-4 times x)+(-4 times 2)= -4x+-8 replug that back in

5x-4x+-8 = -3 subtract your x

1x = x so ---> x+-8 = -3 now to get rid of -8 we have to add 8 to it

x= -3 but whatever you do to one side u do to the other so u have to add 8 to -3---> so it be x=5

now take that x=5 and plug it in to your first eqaiuton to get y

y=5+2 ---> y =7

6 0

3 years ago

The sales tax is $56 on the purchase of a dining room set for $1400 Find the sales tax rate.

OLga [1]

Answer:

Step-by-step explanation:

1400x=56

x=56/1400

56/1400=0,04

0.04= 4%

8 0

3 years ago

The mean cost of domestic airfares in the United States rose to an all-time high of $385 per ticket (Bureau of Transportation St

saveliy_v [14]

Answer:

a)0.067

b)0.111

c)0.612

d)$687.28

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $385

Standard Deviation, σ = $110

We are given that the distribution of domestic airfares is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(domestic airfare is $550 or more)

P(x > 550)

$P( x > 550) = P( z > \displaystyle\frac{550 - 385}{110}) = P(z > 1.5)$

$= 1 - P(z \leq 1.5)$

Calculation the value from standard normal z table, we have,

$P(x > 550) = 1 - 0.933 = 0.067= 6.7\%$

b) P(domestic airfare is $250 or less)

$P(x \leq 250) = P(z \leq \displaystyle\frac{250-385}{110}) = P(z \leq -1.22)$

Calculating the value from the standard normal table we have,

$P( x \leq 250) = 0.111 = 11.1\%$

c))P(domestic airfare is between $300 and $500)

$P(300 \leq x \leq 500) = P(\displaystyle\frac{300 - 385}{110} \leq z \leq \displaystyle\frac{500-385}{110}) = P(-0.77 \leq z \leq 1.04)\\\\= P(z \leq 1.04) - P(z < -0.77)\\= 0.851 - 0.239 = 0.612 = 61.2\%$

$P(300 \leq x \leq 500) = 61.2\%$

d) P(X=x) = 0.03

We have to find the value of x such that the probability is 0.03.

P(X > x)

$P( X > x) = P( z > \displaystyle\frac{x - 385}{110})=0.03$

$= 1 -P( z \leq \displaystyle\frac{x - 385}{110})=0.03$

$=P( z \leq \displaystyle\frac{x - 385}{110})=0.997$

Calculation the value from standard normal z table, we have,

$\displaystyle\frac{x - 385}{110} = 2.748\\x = 687.28$

Hence, the domestic fares must be $687.28 or greater for them to lie in the highest 3%.

7 0

3 years ago

(3x+4)–(2x+9)=15<br><br> Help meeeeeeeeeeeee.

melamori03 [73]

Answer:

x=30

Step-by-step explanation:

you distribute the negative to 2x and 19

3x+4-2x-19=15

then you combine like terms

x-15=15

you add 15 to both sides

x=30

4 0

3 years ago

Read 2 more answers

Given the equation y = -3x +1/2 , what is the y-intercept?

pychu [463]

y intercept = 1/2

<u>Step-by-step explanation:</u>

Step 1:

Formula y=mx+b in Slope Intercept form( whereas m= slope of the given equation, b= y intercept)

Step 2:

Comparing the given equation y = -3x + 1/2

we get m=-3(Slope) and y-intercept b=1/2

3 0

3 years ago