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3 years ago

5

When you flip a biased coin the probability of getting a tail is 0.4. How many times would you expect to get tails if you flip t

he coin 160 times?

1 answer:

olya-2409 [2.1K]3 years ago

6 0

Answer:

50 im not 100% sure tho

Step-by-step explanation:

You might be interested in

Triangle LMN similar to triangle OPQ find the measure of side PQ round your answer to the nearest 10th if necessary

sergejj [24]

*see attachement for the triangles given

Answer:

PQ = 6.8

Step-by-step explanation:

Corresponding sides of similar shapes or figures are proportional to each other. Since ∆LMN ~ ∆OPQ, the ratio of their corresponding sides would therefore be equal. Thus:

LN/OQ = MN/PQ

LN = 5

OQ = 17

MN = 2

PQ = ?

Plug in the values

5/17 = 2/PQ

Cross multiply

5*PQ = 2*17

5*PQ = 34

PQ = 34/5

PQ = 6.8

8 0

3 years ago

A rectangular tank with a square base, an open top, and a volume of 10,976 ft cubed is to be constructed of sheet steel. Find

Marizza181 [45]

Answer:

Dimensions to minimize surface are is 28 ft x 28 ft x 14 ft

Step-by-step explanation:

The Volume of a box with a square base of say;x cm by x cm and height

h cm is;

V = x²h

Now, the amount of material used is directly proportional to the surface area, hence we will minimize the amount of material by minimizing the surface area.

The formula for the surface area of the box described is given by;

A = x² + 4xh

However, we need A as a function of

only x, so we'll use the formula;

V = x²h

V = x²h = 10,976 ft³

So,

h = 10976/x²

So,

A = x² + 4x(10976/x²)

A = x² + 43904/x

So, to minimize the area, it will be at dA/dx = 0.

So,

dA/dx = 2x - 43904/x² = 0

Factorizing out, we have;

2x³ = 43904

x³ = 43904/2

x³ = 21952

x = ∛21952

x = 28 ft

since, h = 10976/x²

h = 10976/28² = 14 ft

Thus,dimension to minimize surface are is 28 ft x 28 ft x 14 ft

7 0

4 years ago

Elena is designing a paint can with thickness ttt millimeters and height hhh centimeters. She calculates that the thickness of t

Degger [83]

Answer:

$t \ge h$ and $t + 0.5h \le 12.0$

Step-by-step explanation:

Given

$t= thickness$

$h =height$

From the first statement, we have that:

$t\ mm \ge 0.1 * h\ cm$

Convert mm to cm

$t\ * 0.1*cm \ge 0.1 * h\ cm$

$t\ *0.1 \ge 0.1 * h$

Divide both sides by 0.1

$t \ge h$

From the second statement, we have that:

$Cost \le 12.2$

Substitute 0.2 + t + 0.5h for Cost

$0.2 + t + 0.5h \le 12.2$

Collect Like Terms:

$t + 0.5h \le 12.2-0.2$

$t + 0.5h \le 12.0$

So, the inequalities are:

$t \ge h$ and $t + 0.5h \le 12.0$

8 0

3 years ago

A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the

Rasek [7]

Answer:

$\mu_{p} = p = 0.06$

And the standard error is given by:

$SE_{p} = \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And replacing we got:

$SE_[p]= \sqrt{\frac{0.06*(1-0.06)}{373}}= 0.0123$

And we want to find this probability:

$P(\hat p < 0.03)$

We can calculate the z score for this case and we got:

$z = \frac{\hat p -\mu_p}{\Se_p} = \frac{0.03-0.06}{0.0123}= -2.440$

And using the normal distribution table or excel we got:

$P(\hat p < 0.03)= P(Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

For this case we can find the mean and standard error for the sample proportion with these formulas:

$\mu_{p} = p = 0.06$

And the standard error is given by:

$SE_{p} = \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And replacing we got:

$SE_[p]= \sqrt{\frac{0.06*(1-0.06)}{373}}= 0.0123$

And we want to find this probability:

$P(\hat p < 0.03)$

We can calculate the z score for this case and we got:

$z = \frac{\hat p -\mu_p}{\SE_p} = \frac{0.03-0.06}{0.0123}= -2.440$

And using the normal distribution table or excel we got:

$P(\hat p < 0.03)= P(Z$

8 0

4 years ago

Help me plss now! can't get the answer

leva [86]

Is there any other information?

6 0

3 years ago