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Katyanochek1 [597]
3 years ago
13

How many real roots are in X^3 - 4x^2 + 5x A) 0 B) 3, C) 1 D) 4 E) 2

Mathematics
1 answer:
Eddi Din [679]3 years ago
7 0

Answer:

I haven't been taught this in school yet but by inputting it into desmos the door would be 0

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Consider the two triangles.
GuDViN [60]

Answer:

(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.

\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}

Step-by-step explanation:

In Triangles WUV and XZY:

\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.

Therefore:

\triangle UWV \cong  \triangle XZY

To show that the triangles are similar by the SSS similarity theorem, we have:

\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}

As a check:

\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25

The correct option is A.

4 0
3 years ago
to make a cheesecake, you need about 2 1/2 pounds of cream cheese. how many pounds of cream cheese will you need to make 2 chees
harina [27]

Answer:

5 pounds.

Step-by-step explanation:

2 1/2 = 2.5

2.5 x 2 = 5

6 0
3 years ago
A point is represented by a:
Thepotemich [5.8K]

Answer:

i would say the first one and second one

Step-by-step explanation:

because the point is an o and an dot at the same time

5 0
3 years ago
The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 30,393 miles, with a standard
Pie

Answer:

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

Step-by-step explanation:

To solve this question, we have 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 random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 30393, \sigma = 2876, n = 37, s = \frac{2876}{\sqrt{37}} = 472.81

What is the probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

This probability is the pvalue of Z when X = 30393 + 339 = 30732 subtracted by the pvalue of Z when X = 30393 - 339 = 30054. So

X = 30732

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

By the Central Limit Theorem

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

Z = \frac{30732 - 30393}{472.81}

Z = 0.72

Z = 0.72 has a pvalue of 0.7642.

X = 30054

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

Z = \frac{30054 - 30393}{472.81}

Z = -0.72

Z = -0.72 has a pvalue of 0.2358

0.7642 - 0.2358 = 0.5284

52.84% probability that the sample mean would differ from the population mean by less than 339 miles in a sample of 37 tires if the manager is correct

4 0
3 years ago
100, percent is shown on the following tape diagram.How many feet are in 3 miles?
lbvjy [14]

Answer: 15840

Step-by-step explanation:

8 0
2 years ago
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