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DanielleElmas [232]
3 years ago
11

-0.5 ≤ m/10Will mark brainiest :)Solve the inequality!

Mathematics
1 answer:
Serggg [28]3 years ago
7 0

Answer:

m>=-5

Step-by-step explanation:

-0.5<=m/10

m>=-0.5(10)

m>=-5

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Triangle DEF is circumscribed about circle R. Points S, T and U are points of tangency where SD = 4 m and UF = 7 m. What is the
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The measure off DF is 11.

In a circle inscribed within a triangle, the distance from each vertex of the triangle to the two nearest touchpoints (points of tangency on the circle) are equal.  Since SD=4, DT=4 as well.  Since UF=7, then FT=7.  

DF=DT+TF=4+7=11.
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3 years ago
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A tug boat traveled -15 miles in 0.3 hours what was its velocity
GenaCL600 [577]

Answer:

22.35 m/s

Step-by-step explanation:

The distance is always a positive unit, so distance traveled (d) = 15 miles

Time (t) = 0.3 hours

Time (t) = 0.3 * 60 = 18 minutes

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The formula of distance is: d = v*t

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we can also calculate velocity is meter/sec, for that

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v = 24,140/1080 = 22.35 m/s

4 0
3 years ago
A study was conducted to compare the proportion of drivers in Boston and New York who wore seat belts while driving. Data were c
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(A.)test statistic for this test using Ha: p8くPN is Z = -2.164 (B.) p-value (3 decimal places) is 0.015. (C.) Based on this p-value, which of the following would you expect for a 95% is negative. (D.) the correct conclusion is The proportion of Boston drivers wearing seat was significantly lower than the proportion of new York drivers wearing seat belts.

A.)

According to given data find the test statistic for this test using Ha:

p1 = 0.581

p2 = 0.832

standard error = SE = 0.116

<h3>Test statistics :-</h3>

Z = \frac{p1 - p2}{SE}

Z = \frac{0.581 - 0.832}{0.116} = -2.164

Z = -2.164

B.)

According to given Determine the p-value (3 decimal places).

<h3>p - value</h3>

it is left tailed test.

p - value for left tailed test is,

p - value = P(Z < test statistics )

p - value = P(Z < -2.164)

P - value = 0.015

C.)

Based on this p-value, which of the following would you expect for a 95%

confidence level = 95% = 0.95

significance level = α = 0.05

P -value is less than 0.05

so, reject null hypothesis at α = 0.05

That is P_{B} < P_{NY}

so, based on P - value , All values in the 95% confidence interval

PB - PNY  is negative.

D.)

According to given data What is the correct conclusion?

Reject null hypothesis at α = 0.05

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Hence, The proportion of Boston drivers wearing seat was significantly lower than the proportion of new York drivers wearing seat belts.

know more about test statics visit this link

brainly.com/question/23332597

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Answer: Isolate the variable by dividing each side by factors that don't contain the variable. x=−1/2^2

Step-by-step explanation:

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