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3 years ago

► Given (blank)

Mathematics

1 answer:

Temka [501]3 years ago

8 0

Answer:

Through a given point there passes: one and only one line perpendicular to a plane. one and only one plane perpendicular to a line.

Step-by-step explanation:

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A company employs two shifts of workers. Each shift produces a type of gasket where the thickness is the critical dimension. The

Oksanka [162]

Answer:

a) $[-0.134,0.034]$

b) We are uncertain

c) It will change significantly

Step-by-step explanation:

a) Since the variances are unknown, we use the t-test with 95% confidence interval, that is the significance level = 1-0.05 = 0.025.

Since we assume that the variances are equal, we use the pooled variance given as

$s_p^2 = \frac{ (n_1 -1)s_1^2 + (n_2-1)s_2^2}{n_1+n_2-2}$ ,

where $n_1 = 40, n_2 = 30, s_1 = 0.16, s_2 = 0.19$ .

The mean difference $\mu_1 - \mu_2 = 10.85 - 10.90 = -0.05$ .

The confidence interval is

$(\mu_1 - \mu_2) \pm t_{n_1+n_2-2,\alpha/2} \sqrt{\frac{s_p^2}{n_1} + \frac{s_p^2}{n_2}} = (-0.05) \pm t_{68,0.025} \sqrt{\frac{0.03}{40} + \frac{0.03}{30}}$

$= -0.05\pm 1.995 \times 0.042 = -0.05 \pm 0.084 = [-0.134,0.034]$

b) With 95% confidence, we can say that it is possible that the gaskets from shift 2 are, on average, wider than the gaskets from shift 1, because the mean difference extends to the negative interval or that the gaskets from shift 1 are wider, because the confidence interval extends to the positive interval.

c) Increasing the sample sizes results in a smaller margin of error, which gives us a narrower confidence interval, thus giving us a good idea of what the true mean difference is.

6 0

3 years ago

Each figure shows a triangle with one of its angle bisectors.<br> 12) 22 - 38°. Find mZTRS.

jarptica [38.1K]

Answer:

76 degrees

Step-by-step explanation:

this special line is an angle bisected.

that means it splits the angle at its starting point in 2 halves. as these names indicate, both parts are of equal size (half of the general angle).

we know one part (2) of this split angle : 38 degrees.

the other part (1) had to be equally sized : 38 degrees.

so, the total angle at point R is the sum of both split angles:

TRS = 38+38 = 76 degrees.

3 0

3 years ago

What is the probability of drawing a 9 of heart or an ace from a standard deck of cards? A. 7/52 B. 5/52 C. 5/26 D. 8/13 What is

Strike441 [17]

A for the first because there are 4 aces and 1 nine of hearts. that makes it 5 cards of the 52 in a deck
d for the second because there are two cards: the queen of heart and and ace of diamond out of the 52

hope this helped :)

5 0

2 years ago

Solve the equations and graph the solution

jenyasd209 [6]

Given:

The inequalities are:

$-5x$ or $2x$