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3 years ago

What is the value of x? Enter your answer as a decimal.

Mathematics

1 answer:

dmitriy555 [2]3 years ago

7 0

Answer:

Step-by-step explanation:

ΔNPM and ΔABM are similar. Therefore the sides are in proportion:

$\dfrac{AM}{NM}=\dfrac{BM}{PM}$

We have

$AM=71.5\ ft-22\ ft=49.5\ ft\\NM=71.5\ ft\\BM=x\\PM=97.5\ ft$

Substitute:

$\dfrac{49.5}{71.5}=\dfrac{x}{97.5}$ <em>cross multiply</em>

$71.5x=(49.5)(97.5)$

$71.5x=4826.25$ <em>divide both sides by 71.5</em>

$x=67.5$

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Tia performed an experiment where she flipped a coin 200 times. The coin landed heads up 92 times and tails up 108 times. Which

ra1l [238]

Total number of times she flipped a coin =200.

Total number of heads in the experiment=92

Total number of tails in the experiment=108

Therefore probability of the coun landing heads up in this experiment is 0.5

In the above experiment, the probability of the coin landing heads up is

P(H)= 92/200 = 0.46

In the above experiment, the probability of the coin landing tails up is P(T) = 108/200 = 0.54

The ratio obj represent the experimental probability of the coin landing heads up in this experiment

Therefore the correct option is 1.

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3 years ago

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Part 1 - Application Pick one of the two graphs below. Describe a situation which could be modeled by this polynomial graph. Be

Goryan [66]

One good example of a situation that can be modeled by this Polynomial Graph is the price-time relationship between currency pairs being traded on the Foreign Exchange Market.

<h3>What is a Polynomial Graph?</h3>

A polynomial parameter graph is essentially a smooth continuous curve.

Although the forex graph attached has sharp undulations, when regressed and viewed via Polynomial Regression Indicators, they exhibit strong polynomial qualities that meet the requirements of the definition above.

It is to be noted that the Y-Axis is indicative of the price of the currency pairs (which could be any currency against another) and the X-Axis expresses time. See the attached graphs for a better picture.

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2 years ago

What is 4p+5=33 ? For the equation

faltersainse [42]

Answer:

p=7

Step-by-step explanation:

4p+5=33

33-5=28

4p=28

28/4=7

p=7

4(7)+5=33

28+5=33

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3 years ago

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A shop keeper has 8 gallons, 3 quarts,

ioda

Answer:

I believe it would be 86 cups left of milk.

Step-by-step explanation:

8 gallons= 128 cups of milk

3 quarts= 12 cups

Plus the 1 cup of milk he had equals 141 of milk in total

Now the customer wants 2 gallons (32 cups of milk), 5 quarts ( 20 cups), and 3 cups which is 55 cups of milk.

Now we minus what the customer bought from what the shop keeper had so:

55-141=86

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3 years ago

The service life of a battery used in a cardiac pacemaker is assumed to be normally distributed. A random sample of ten batterie

Fittoniya [83]

Answer:

The confidence interval is $25.16 < \mu < 26.85$

Step-by-step explanation:

From the question we are given a data set

25.5, 26.1, 26.8, 23.2, 24.2, 28.4, 25.0, 27.8, 27.3, and 25.7.

The mean of the this sample data is

$\= x = \frac{\sum x_i}{n}$

where is the sample size with values n = 10

$\= x = \frac{25.5+ 26.1+ 26.8+23.2+ 24.2+ 28.4+ 25.0+ 27.8+ 27.3+ 25.7}{10}$

$\= x = 26$

The standard deviation is evaluated as

$\sigma = \sqrt{\frac{\sum (x-\= x)}{n} }$

substituting values

$= \sqrt{\frac{ ( 25.5-26)^2, (26.1-26)^2, (26.8-26)^2, (23.2-26)^2}{10} }$

$\cdot \ \cdot \ \cdot \sqrt{\frac{ ( 24.2-26)^2, (28.4-26)^2+( 25.0-26)^2+ (27.8-26)^2+( 27.3-26)^2+( 25.7-26)^2}{10} }$

$\sigma = 1.625$

The confidence level is given as 90% hence the level of significance is calculated as

$\alpha = 100 -90$

$\alpha =10$ %

$\alpha = 0.10$

Now the critical values of $\frac{\alpha }{2}$ is obtained from the normal distribution table as

$Z_{\frac{\alpha }{2} } = 1.645$

The reason we are obtaining the critical values of $\frac{\alpha }{2}$ instead of $\alpha$ is because we are considering two tails of the area under the normal curve