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3 years ago

Where does y= 3X -2 and y=- X +2

Mathematics

1 answer:

Wittaler [7]3 years ago

5 0

Answer:

When x = 1, these two equations are equal

Step-by-step explanation:

To do this, we need to set each equation equal to the other

The setup looks like

$3x-2=-x+2$

Now we can solve for x

$3x-2=-x+2\\\\3x=-x+4\\\\4x=4\\\\x=1$

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June has a savings account with an annual simple interest rate of 2.6%. She hopes to gain $6,500 in interest over a period of el

leonid [27]

$\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &\$6500\\
P=\textit{original amount deposited}\\
r=rate\to 2.6\%\to \frac{2.6}{100}\to &0.026\\
t=years\to &3
\end{cases}$

she should have invested P, in order to get I = 6500

but she instead invested 17,801, how much more did she need? well, P - 17801

solve for P

7 0

3 years ago

Read 2 more answers

PLS HELP THIS IS TIMED!!!!!

SIZIF [17.4K]

Answer:

Step-by-step explanation:

8 0

3 years ago

Suppose heights of seasonal pine saplings are normally distributed and have a known population standard deviation of 17 millimet

Mumz [18]

Answer:

$296.693\leq x\leq 319.307$

Step-by-step explanation:

The confidence interval for the population mean x can be calculated as:

$x'-z_{\alpha /2}\frac{s}{\sqrt{n} } \leq x\leq x'+z_{\alpha /2}\frac{s}{\sqrt{n} }$

Where x' is the sample mean, s is the population standard deviation, n is the sample size and $z_{\alpha /2}$ is the z-score that let a proportion of $\alpha /2$ on the right tail.

$\alpha$ is calculated as: 100%-99%=1%

So, $z_{\alpha/2}=z_{0.005}=2.576$

Finally, replacing the values of x' by 308, s by 17, n by 15 and $z_{\alpha /2}$ by 2.576, we get that the confidence interval is:

$308-2.576\frac{17}{\sqrt{15} } \leq x\leq 308+2.576\frac{17}{\sqrt{15} }\\308-11.307 \leq x\leq 308+11.307\\296.693\leq x\leq 319.307$

6 0

3 years ago

Which of the following is true for most distributions? Group of answer choices

Drupady [299]

Answer:

Step-by-step explanation:

The standard deviation is a measure that tells us how far measures tend to be from the mean. A low standard deviation gives us values closer to the mean than a high standard deviation. Usually 68% of the data falls within one standard deviation of the set.

Thus, the most accurate answer would be a) Around 70% of the scores will be located within one standard deviation of the mean

8 0

3 years ago

Stefanie bought a package of pencils for $1.75 and some erasers that cost $0.25 each. She paid a total of $4.25 for these items,

melamori03 [73]

Answer:

Stefanie bought 10 erasers

Step-by-step explanation:

We can establish the following equation:

TP = NP*PP + NE*EP

Where:

TP = Total price; (4.25)

NP = Number of pencil packages; (1)

PP = Pencil Package's Price; (1.75)

NE = Number of erasers; (What we are looking for)

EP = Erasers Price; (0.25);

Then:

4.25 = 1*1.75 + NE*0.25;

4.25 - 1.75 = NE*0.25;

2.5/0.25 = NE;

10 = NE.

5 0

4 years ago