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3 years ago

A bag contains 6 red marbles, 4 black marbles, and 5 blue

Mathematics

1 answer:

mariarad [96]3 years ago

7 0

Answer:

Likely

Step-by-step explanation:

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Rent and other associated housing costs, such as utilities, are an important part of the estimated costs of attendance at colleg

Anton [14]

Answer: $(336.49,\ 355.51)$

Step-by-step explanation:

The confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : $n= 314$ , which is a large sample , so we apply z-test .

Sample mean : $\overline{x}=346$

Standard deviation : $\sigma= 86$

Significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}=1.96$

Now, a confidence interval at the 95% level of confidence will be :-

$346\pm(1.96)\dfrac{86}{\sqrt{314}}\\\\\approx346\pm9.51\\\\=(346-9.51,\ 346+9.51)\\\\=(336.49,\ 355.51)$

8 0

3 years ago

Solve for x<br> (1/x) -2/3 = (4x)

Vadim26 [7]

The value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

Step-by-step explanation:

The equation is $\frac{1}{x}-\frac{2}{3}=4 x$

Subtracting by $4x$ on both sides,

$\frac{1}{x}-\frac{2}{3}-4 x=0$

Taking LCM,

$\frac{3-12 x^{2}-2 x}{3 x}=0$

Multiplying by 3x on both sides,

$-12 x^{2}-2 x+3=0$

Dividing by (-) on both sides,

$12 x^{2}+2 x-3=0$

Using quadratic formula, we can solve for x.

$\begin{aligned}x &=\frac{-2 \pm \sqrt{2^{2}-4 \cdot 12 \cdot(-3)}}{2 \cdot 12} \\&=\frac{-2 \pm \sqrt{4+144}}{2 \cdot 144} \\&=\frac{-2 \pm \sqrt{148}}{24} \\&=\frac{-2 \pm 2 \sqrt{37}}{24}\end{aligned}$

Taking out common term 2, we get,

$\begin{array}{l}{x=\frac{-2(1 \pm \sqrt{37})}{24}} \\{x=\frac{-1 \pm \sqrt{37}}{12}}\end{array}$

Thus, the value of x is $x=\frac{-1+\sqrt{37}}{12}$ and $x=\frac{-1-\sqrt{37}}{12}$

4 0

3 years ago

Malcolm bought 6 bowls for $13.20. What is the unit rate

erica [24]

You divide the total amount by the umber of items. 13.20 divided by 6. This is 2.2. The unit rate is 2.2 dollars

5 0

3 years ago

Read 2 more answers

What is a pie chart in mathematics

Ymorist [56]

Answer:

A pie chart is a type of graph that represents the data in a circular graph.

5 0

2 years ago

Read 2 more answers

Georgia works at the frozen yogurt shop. She is able to scoop frozen yogurt into perfectly round scoops tha

Ronch [10]

Answer:

My answers:

1. p = 0.20 × 100 × k

4. y = 1.25x + 3; $8.00

Step-by-step explanation:

your welcome

8 0

3 years ago