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4 years ago

Find the surface area of the pyramid

Mathematics

1 answer:

Anestetic [448]4 years ago

4 0

Area of base + (area of triangle surface) = surface area of a pyramid
3 * 3 + (3 * 6 ÷ 2 * 4) = 45
The surface area of the pyramid is 45² yd.

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A grower believes that one in five of his citrus trees are infected with the citrus red mite. How large a sample should be taken

mihalych1998 [28]

Answer:

n=6147

Step-by-step explanation:

1) Notation and definitions

$X=1$ number of citrus trees that are infected with the citrus red mite.

$n=5$ random sample taken

$\hat p=\frac{1}{5}=0.2$ estimated proportion of citrus trees that are infected with the citrus red mite.

$p$ true population proportion of citrus trees that are infected with the citrus red mite.

Me=0.01 represent the margin of error desired

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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

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

In order to find the critical values we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical values would be given by:

$t_{\alpha/2}=-1.96, t_{1-\alpha/2}=1.96$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.01$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.2(1-0.2)}{(\frac{0.01}{1.96})^2}=6146.56$

And rounded up we have that n=6147

5 0

4 years ago

Guests at a pizza party are seated at three tables. The small table has 5 seats and 2 pizzas. The medium table has 7 seats and 3

bagirrra123 [75]

Answer:

the 5 seated table with the 2 pizzas got more each.

Step-by-step explanation:

$\frac{5}{2} = 2\frac{1}{y2}$ pieces each

$\frac{7}{3} = 2\frac{1}{3}$ pieces each

$\frac{12}{5} = 2\frac{2}{5}$ pieces each

Now change the fractions s that they all have a common denominator.

$2\frac{1}{2} = 2\frac{15}{30}$

$2\frac{1}{3} = 2\frac{10}{30}$

$2\frac{2}{5} = 2\frac{15}{30}$

Thus meaning that the 5 seated table with the 2 pizzas got more each.

6 0

3 years ago

In the triangle below, 21 = 35 and 3 = 100

vesna_86 [32]

Answer:

135

Step-by-step explanation:

Okay so we know that all angles in tringle sums up to 180

Therefore ∠2 = 180 - ∠1 - ∠3 = 180 - 35 - 100 = 45deg

We also know that angles on a straight line add up to 180deg as well

Therefore ∠4 = 180 - ∠2 = 180 - 45 = 135deg

3 0

3 years ago

a store sells a 5 lb box of detergent for $5.25 and a 10 lb box of detergent for $9.75 ` which size box has the lowest price per

Andre45 [30]

The box of detergent has a lower cost per pound

6 0

3 years ago

Triangle J K M is shown. Angle J M K is a right angle. The length of hypotenuse K J is a, the length of J M is b, and the length

Scorpion4ik [409]

Answer:

The correct statement is the first one: a is the hypotenuse, b is adjacent, c is the opposite in relation to <J

The last two are definitely incorrect because a is the hypotenuse no matter what and the second one is wrong because b isn't the opposite in relation to <J.

5 0

3 years ago

Read 2 more answers