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Fed [463]
3 years ago
11

How many solutions does x^2 - 2x +1 = O have?

Mathematics
1 answer:
malfutka [58]3 years ago
8 0

Answer:

1

Step-by-step explanation:

(X-1)(X-1) are your factors which only give you one solution of x=1

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Find the m&lt;bac, if m&lt;dec= 58 and m&lt;edc =43<br>a. 43<br>b. 58<br>c. 79<br>d. 101
mamaluj [8]
We are looking to figure out the size of m<CAB
Since line AB is parallel to the line CD, m<CAB corresponds to m<ECD which means the size of the angles equals
m<ECD can be found by using the fact that angles in a triangle add up to 180°,
hence, 180°-58°-43°=79°

The size of m<CAB is 79°

5 0
3 years ago
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Help with this math homework
iragen [17]

Answer:

5.    2

6.    51

7.     X

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Last year, 50% of MNM. Inc. employees were female. It is believed that there has been a reduction in the percentage of females i
Serhud [2]

Answer:

We conclude that there has been a significant reduction in the proportion of females.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 50% = 0.5

Alpha, α = 0.05

Number of women, x = 118

First, we design the null and the alternate hypothesis  

H_{0}: p = 0.50\\H_A: p < 0.50

This is a one-tailed test.  

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{118}{400} = 0.45

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.45-0.50}{\sqrt{\frac{0.50(1-0.50)}{400}}} = -2

Now, we calculate the critical value.

Now, z_{critical} \text{ at 0.05 level of significance } = -1.645

Since the calculated z-statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, there has been a significant reduction in the proportion of females.

3 0
3 years ago
The distances male long jumpers for State College jump are approximately normal with a mean of 263 inches and a standard deviati
Effectus [21]

Answer:

His jump was of 272.45 inches

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 263, \sigma = 14

75th percentile

X when Z has a pvalue of 0.75. So X when Z = 0.675

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

0.675 = \frac{X - 263}{14}

X - 263 = 14*0.675

X = 272.45

His jump was of 272.45 inches

7 0
2 years ago
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Type the correct answer in each box. Use numerals instead of words. Consider the equation below. x/h+1=-2 The value of x in term
arlik [135]

Answer:

x = -3h

x = -12

Step-by-step explanation:

Given equation is \frac{x}{h}+1=-2

To find the value of x in terms of h we will solve the expression to isolate x on one side of the equation.

by subtracting 1 from both the sides of the equation,

\frac{x}{h}+1-1=-2-1

\frac{x}{h}=-3

Multiplying 'h' on both the sides of the equation,

(\frac{x}{h})\times h = (-3)h

x = -3h

If h = 4,

x = (-3)(4)

x = -12

4 0
3 years ago
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