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Dima020 [189]
3 years ago
9

Solve the equation. (-7x + 2)^1/3 = (4 + 3x)^1/3

Mathematics
1 answer:
Brrunno [24]3 years ago
3 0
(-7x + 2)^1/3 = (4 + 3x)^1/3
take the cube of both side to eliminate the 1/3 power
so you get
-7x+2=4+3x
combine like terms
-10x=2
solve for x
x=-1/5
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Nicole bought a piece of property for $12,000. She sold it for $15,000. What is the percent of increase
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The percent of increase is 25 percent
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3 years ago
A researcher wishes to estimate the average blood alcohol concentration​ (BAC) for drivers involved in fatal accidents who are f
Mnenie [13.5K]

Answer:

A 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

Step-by-step explanation:

We are given that a researcher randomly selects records from 60 such drivers in 2009 and determines the sample mean BAC to be 0.16 g/dL with a standard deviation of 0.080 ​g/dL.

Firstly, the pivotal quantity for finding the confidence interval for the population mean is given by;

                               P.Q.  =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~   t_n_-_1

where, \bar X = sample mean BAC = 0.16 g/dL

            s = sample standard deviation = 0.080 ​g/dL

            n = sample of drivers = 60

            \mu = population mean BAC in fatal crashes

<em>Here for constructing a 90% confidence interval we have used a One-sample t-test statistics because we don't know about population standard deviation. </em>

So, a 90% confidence interval for the population mean, \mu is;

P(-1.672 < t_5_9 < 1.672) = 0.90  {As the critical value of t at 59 degrees of

                                              freedom are -1.672 & 1.672 with P = 5%}    P(-1.672 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 1.672) = 0.90

P( -1.672 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 1.672 \times {\frac{s}{\sqrt{n} } } ) = 0.90

P( \bar X-1.672 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+1.672 \times {\frac{s}{\sqrt{n} } } ) = 0.90

<u>90% confidence interval for</u> \mu = [ \bar X-1.672 \times {\frac{s}{\sqrt{n} } } , \bar X+1.672 \times {\frac{s}{\sqrt{n} } } ]

                                       = [ 0.16-1.672 \times {\frac{0.08}{\sqrt{60} } } , 0.16+1.672 \times {\frac{0.08}{\sqrt{60} } } ]

                                       = [0.143, 0.177]

Therefore, a 90% confidence interval for the mean BAC in fatal crashes in which the driver had a positive BAC is [0.143, 0.177] .

7 0
3 years ago
Please help me please
harina [27]

Answer:snomwrkgjrmkgernuhierjher8ouynrejyieryjtleyhe9uirojlPOINTSBITHC

Step-by-step explanation:

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7 0
3 years ago
the price of milk in 2013 was around $3.28 a gallon. This was eight times as much as you would have probably paid for a gallon o
Jlenok [28]

The cost of the milk is \fbox{\$\,0.41{\text{ a gallon}}} in 1950s.

Further explanation:

The price of milk in 2013 was around \$3.28 a gallon.

And it is given that this was eight times as much as one can would have probably paid for a gallon of milk in the 1950s.

It is given that the price of milk in 2013 is \$3.28 a gallon.

Assume the price of milk in 1950 be \$x a gallon.

Now, given that 8 times of x is the price of milk in 2013.

Therefore, 8x is the price of milk in 2013 and also \$3.28 is the price of milk in 2013.

Equating 8x and  \$3.28 equal as both are the price of milk in 2013 as,

\begin{aligned}8x&=3.28\\x&=\frac{{3.28}}{8}\\x&=0.41\\\end{aligned}

Here, x is the price of milk in 1950.

Therefore, the cost of the milk is \fbox{\$\,0.41{\text{ a gallon}}} in 1950s.

Learn more :

1. Problem on the slope-intercept form brainly.com/question/1473992.

2. Problem on the center and radius of an equation brainly.com/question/9510228

3. Problem on general form of the equation of the circlehttps://brainly.com/question/1506955

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Linear equations in one variable

Keywords: Cost, gallon, milk, linear equation in one variable, polynomials, variables, real numbers, degree of polynomials, equations, expressions, coefficients, zero polynomial, constants, integers, roots of polynomials.

6 0
3 years ago
Read 2 more answers
Hey whats 9+80+90+100
KATRIN_1 [288]

Answer:

279 bro hope it helps

Step-by-step explanation:

hope it helps

3 0
2 years ago
Read 2 more answers
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