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Doss [256]
3 years ago
7

|x+8|=x+8 what is x?

Mathematics
1 answer:
Darya [45]3 years ago
7 0

Answer:

x ≥ 0

Step-by-step explanation:

The absolute value of x+8 equals itself, thus x must be a real number (0 or any positive number).

You might be interested in
2 2/5 x 5/7 in simplest form
Lena [83]

Answer:

1 5/7

Step-by-step explanation:

2 2/5 x 5/7

= 12/5 x 5/7

= 12/7

1 5/7

5 0
3 years ago
A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the
a_sh-v [17]

Answer:

Probability that the sample proportion will be less than 0.03 is 0.10204.

Step-by-step explanation:

We are given that a courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the true proportion is 0.04.

Also, 469 are sampled.

<em>Let </em>\hat p<em> = sample proportion</em>

The z-score probability distribution for sample proportion is given by;

              Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

           p = true proportion = 0.04

           n = sample size = 469

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

So, probability that the sample proportion will be less than 0.03 is given by = P( \hat p < 0.03)

       P( \hat p < 0.03) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < \frac{0.03-0.04}{\sqrt{\frac{0.03(1-0.03)}{469} } } ) = P(Z < -1.27) = 1 - P(Z \leq 1.27)

                                                                      = 1 - 0.89796 = 0.10204

Now, in the z table the P(Z \leq x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.27 in the z table which has an area of 0.89796.

Therefore, probability that the sample proportion will be less than 0.03 is 0.10204.

5 0
3 years ago
Marisa took a survey and discovered that 38 out of 152 students in the seventh grade at her school have more than one pet. What
mamaluj [8]

Answer:

<h3>25%</h3>

Step-by-step explanation:

Total number of student in the school = 152 students

Number of student that have more than one pet = 38

percentage of the students have more than one pet will be expressed as

% of student with more than 1 pet = number of student with more than one pet/total number of student * 100%

% of student with more than 1 pet = 38/152 * 100

% of student with more than 1 pet = 3800/152

% of student with more than 1 pet = 25%

Hence 25% of the students in the school have more than one pet.

3 0
2 years ago
A car travels 420 miles in 6 hours. What is the unit rate?
Semmy [17]

Answer:

70

Step-by-step explanation:

because 70 times 6 equals 420

3 0
3 years ago
Identify one pair of vertical angles in the diagram below,
pshichka [43]
Angle b and d the third option
4 0
2 years ago
Read 2 more answers
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