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Paladinen [302]
3 years ago
11

Find x in the diagram

Mathematics
1 answer:
Dominik [7]3 years ago
3 0
It is 45 degrees because a straight line is 180, there is a right angle which is 90 and 45+45+90=180
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Given lines p and q are parallel, find the value of x that makes each diagram true.
Klio2033 [76]

Answer: for a the answer is 140° and for b x=25°

Step-by-step explanation:

for a, when you have 2 parallel lines cut by a transversal,the corresponding angles are congruent. and the angle140 is congruent to the corresponding angle as they are vertical angles are congruent.

for b, angle x is congruent to the angle that is supplementary to 155 therefore 180-155=25°

5 0
3 years ago
A truck loaded with 8000 electronic circuit boards has just pulled into a firm’s receiving dock. The supplier claims that no mor
Juliette [100K]

Answer:

The 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

Step-by-step explanation:

Let <em>X</em> = number of boards that fall outside the most rigid level of industry performance specifications.

In a random sample of 300 boards the number of defective boards was 12.

Compute the sample proportion of defective boards as follows:

\hat p =\frac{12}{300}=0.04

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

The critical value of <em>z</em> for 95% confidence level is,

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

*Use a <em>z</em>-table.

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.04\pm1.96\sqrt{\frac{0.04(1-0.04)}{300}}\\=0.04\pm0.022\\=(0.018, 0.062)\\\approx(1.8\%, 6.2\%)

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

3 0
3 years ago
Which answer best describes the shape of this distribution? skewed left skewed right uniform bell-shaped
Tatiana [17]

Answer:

Skewed right

Step-by-step explanation:

Most of the data is to the right, so it's not skewed left.

Uniform is mostly even, so not that either.

Bell shape is centered and vaguely triangular, so incorrect, hence the only remaining option is skewed right.

Hope this helps :)

<em>Stay Cold, </em>

<em>Brook</em>

4 0
3 years ago
The price of a visit to the dentist is $50 . If the dentist fills any cavities, an additional charge of, 100$ per cavity gets ad
frozen [14]
The cost of the visit to the dentist can be expressed as the cost equals 100x+50.

The initial cost of the appointment would be $50; no matter how many cavities one has, they would still have to pay $50.

The cost of each cavity is represented as 100x, because each cavity costs $100. x represents the number of cavities, as we do not know how many cavities there are.
6 0
3 years ago
Read 2 more answers
A rectangular prism has a square base. The sides of the base are 3in, and it has a height of 6 in. How
Jet001 [13]

Answer:

90

Step-by-step explanation:

"how many one inch squares" is basically saying surface area. just find the area of each side and add them.

4 0
3 years ago
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