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2 years ago

What’s the correct answer for this?

Mathematics

2 answers:

Burka [1]2 years ago

8 0

Answer:

AP = 10

Step-by-step explanation:

According to secant-secant theorem

(PB)(AP)=(PD)(PC)

6(AP) = (5)(12)

AP = 60/6

AP = 10

Keith_Richards [23]2 years ago

7 0

Answer:

Step-by-step explanation:

Applying the secant theorem, we get:

(PB) * (AP) = (PD) * (PC)

6 * (AP) = (5) * (12)

AP = 60/6

= 10

Hope this helps!

You might be interested in

Whats is the answer -2/3 (-1 1/6)

grin007 [14]

Answer:

$\frac79$

Step-by-step explanation:

$\frac{-2}{3} \cdot-1\frac{1}{6}$

Let's convert the mixed number to an important fraction.

-1 1/6 = -7/6

Now multiply:

$\frac{-2}{3} \cdot \frac{-7}{6} = \\\\\\\frac{-2\cdot-7}{3\cdot6} = \\\\\\\frac{14}{18} = \frac79$

-Chetan K

7 0

2 years ago

The amount of coffee that a filling machine puts into an 8-ounce jar is normally distributed with a mean of 8.2 ounces and a sta

nordsb [41]

Answer:

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 8.2, \sigma = 0.18, n = 100, s = \frac{0.18}{\sqrt{100}} = 0.018$

What is the probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce?

This is the pvalue of Z when X = 8.2 + 0.02 = 8.22 subtracted by the pvalue of Z when X = 8.2 - 0.02 = 8.18. So

X = 8.22

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{8.22 - 8.2}{0.018}$

$Z = 1.11$

$Z = 1.11$ has a pvalue of 0.8665

X = 8.18

$Z = \frac{X - \mu}{s}$

$Z = \frac{8.18 - 8.2}{0.018}$

$Z = -1.11$

$Z = -1.11$ has a pvalue of 0.1335

0.8665 - 0.1335 = 0.7330

73.30% probability that the sampling error made in estimating the mean amount of coffee for all 8-ounce jars by the mean of a random sample of 100 jars will be at most 0.02 ounce

8 0

3 years ago

Mai wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with length 6 m and width 2 m. She decides on a sca

BigorU [14]

Answer:

Length of scale = 15 cm

Width of scale = 5 cm

Step-by-step explanation:

Dimensions of the kitchen of Mai are given as:

Length of kitchen = 6 m

Width of kitchen = 2 m

Scale to be used = 1 to 40

To find:

The drawing with labeling and dimensions of the scale drawing.

Solution:

First of all, let us understand about the concept of scaling.

Scaling is a method to represent big structures on paper.

For this purpose, we decide a scaling factor and draw the big structures on paper by scaling down (making it small) by using a scaling factor.

Here, the scale factor used is 1 to 40.

i.e. 1 unit on scale is equivalent to 40 units on the actual kitchen.

40 units of kitchen = 1 unit of scale

1 unit of kitchen = $\frac{1}{40}$ units of scale

6 m of kitchen = $\frac{1}{40}\times 6\ m = \frac{600}{40}\ cm = 15\ cm$

Length of scale = 15 cm

40 units of kitchen = 1 unit of scale

1 unit of kitchen = $\frac{1}{40}$ units of scale

2 m of kitchen = $\frac{1}{40}\times 2\ m = \frac{200}{40}\ cm = 5\ cm$

Width of scale = 5 cm

Please refer to the attached image as well for representation of given scale.

4 0

3 years ago

3/14 - 1/7= how much

Fofino [41]

3/14 - 1/7
= 3/14 - 2/14
= 1/14

so, 3/14 - 1/7 = 1/14

7 0

3 years ago

Read 2 more answers

what is the growth factor of y=34×4^x, the initial amount of y=15×3^x and the decay factor of y=17×0.2^x

11Alexandr11 [23.1K]

So the growth factor is the base of the exponential term, so the base of y = 34 * 4^x is 4.
the initial amount is the amount at x = 0
y = 15 * 3^xy = 15 * 3^0y = 15 * 1y = 15 is the initial amount
the decay factor of y=17×0.2^x is same as the growth factor, it is 0.2

5 0

3 years ago