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2 years ago

If I could get help thank u

Mathematics

2 answers:

gladu [14]2 years ago

8 0

Answer:

acute angle is measured as 90 °

nika2105 [10]2 years ago

6 0

An acute angle is infact 90 degrees, therefore your answer is correct.

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In a simple random sample of 300 boards from this shipment, 12 fall outside these specifications. Calculate the lower confidence

Lyrx [107]

Answer:

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

Step-by-step explanation:

In a random sample of 300 boards the number of boards that fall outside the specification is 12.

Compute the sample proportion of boards that fall outside the specification in this sample as follows:

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

The (1 - α)% confidence interval for population proportion p is:

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

The critical value of z for 95% confidence level is,

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

*Use a z-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%).

6 0

3 years ago

Y+9÷2=y-3÷4-(y/3) pls help

Ann [662]

Answer:

y = - $\frac{63}{4}$ or - 15.75

Step-by-step explanation:

Order of operations.

y + $\frac{9}{2}$ = y - $\frac{3}{4}$ - $\frac{y}{3}$ Subtract y from each side.

y - y + $\frac{9}{2}$ = y - y - $\frac{3}{4}$ - $\frac{y}{3}$

$\frac{9}{2}$ = - $\frac{3}{4}$ - $\frac{y}{3}$ Add $\frac{3}{4}$ to each side

$\frac{9}{2}$ + $\frac{3}{4}$ = - $\frac{3}{4}$ + $\frac{3}{4}$ - $\frac{y}{3}$

$\frac{9}{2}$ + $\frac{3}{4}$ = - $\frac{y}{3}$ Find the common denominator for $\frac{9}{2}$ and $\frac{3}{4}$ , which is 4

$\frac{9}{2}$ * $\frac{2}{2}$ + $\frac{3}{4}$ = - $\frac{y}{3}$

$\frac{18}{4}$ + $\frac{3}{4}$ = - $\frac{y}{3}$

$\frac{21}{4}$ = - $\frac{y}{3}$ Multiply each side by 3

$\frac{21}{4}$ * 3 = - $\frac{y}{3}$ * 3

$\frac{63}{4}$ = - y Divide each side by -1

y = - $\frac{63}{4}$ = - 15 $\frac{3}{4}$

y = - 15.75

3 0

3 years ago

Read 2 more answers

The base is 3 and the height is 2 what is the area of the triangle

Scorpion4ik [409]

Answer:

area = 3

Step-by-step explanation:

area of a triangle = 1/2 base x height

1/2 x 3 x 2 = 1/2 x 6 = 3

6 0

3 years ago

Divide. HELP ASAP PLEASE!!

VashaNatasha [74]

Answer:

The answer to your question is below

Step-by-step explanation:

a) $\frac{s^{2}- 3s - 28 }{s - 7}$

Factor the numerator is a polynomial of the form x² + bx + c

s² - 3s - 28 = (s - 7)( s + 4)

Substitute

$\frac{(s - 7)(s + 4)}{(s - 7)}$

Simplify like terms

Result s + 4

b) $\frac{c^{2} + 5c - 24}{c + 8}$

Factor the numerator is a polynomial of the form x² + bx + c

c² + 5c - 24 = (c + 8)(c - 3)

Substitute

$\frac{(c + 8)(c - 3)}{c + 8}$

Simplify like terms c - 3

Result c - 3

3 0

3 years ago

WILL GIVE BRAINLIEST

kifflom [539]

Speed boat departed 1.75 hrs after steam boat1.8 hrs after speed boat departure, steam boat has sailed for a total: 1.8+1.75 = 3.55 hrssteam boat's speed is 36.8 km/hr, so it has traveled: 3.55*36.8 = 130.64 km
speed boat is 86.9 km behind steam boat. so it is 130.64-86.9 = 43.74 km from portspeed boat's speed = 43.74/1.8 = 24.3 km/hr

8 0

3 years ago

Read 2 more answers