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Leya [2.2K]
3 years ago
5

Which best explains whether a triangle with side lengths 2in , 5in , 4in. is an acute triangle

Mathematics
1 answer:
lutik1710 [3]3 years ago
3 0
So we know that 3,4 and 5 are pythagorean triplet and these result from a right triangle sides length 
- than 3,4 and 5 mean right triangle so 2,5 and 4 mean acute triangle sure or you can prove it in this way too
- than 3^2 +4^2 =5^2 => a right triangle so than 
2^2 +4^2 < 5^2 => an acute triangle 

hope helped 
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By copying and completing the working below, work out 3 + 1 16 Give your answer as a fraction in its simplest form.
Ksenya-84 [330]

Answer:

Assuming the question is:  3 + 1 16  [I see no "working below."

Step-by-step explanation:

3 + 1 16

48/16 + (16/16 + 1/16)  [Make all numbers into fractions using 16 as the denominator.  E.g. 48/16 = 3.

Add:  48/16 + (16/16 + 1/16)

  (48+16+1)/16

=63/16

[Also equal to 3 15/16]

7 0
3 years ago
QUICK PLEASE!! 100 POINTS!! PLEASE DONT GUESS!
allochka39001 [22]

Answer: B

Step-by-step explanation: I think

7 0
3 years ago
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A sample survey is designed to estimate the proportion of sports utility vehicles being driven in the state of California. A ran
mart [117]

Answer:

a) The 95% confidence interval would be given (0.070;0.121).

b) "increase the sample size n"

"decrease za/2 by decreasing the confidence"

Step-by-step explanation:

Notation and definitions

X=48 number of vehicles classified as sports utility.

n=500 random sample taken

\hat p=\frac{48}{500}=0.096 estimated proportion of vehicles classified as sports utility vehicles.

p true population proportion of vehicles classified as sports utility vehicles.

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})

(a) Use a 95% confidence interval to estimate the proportion of sports utility vehicles in California. (Round your answers to three decimal places.)

The confidence interval would be given by this formula :

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

For the 95% confidence interval the value of \alpha=1-0.5=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

And replacing into the confidence interval formula we got:

0.096 - 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.070

0.096 + 1.96 \sqrt{\frac{0.096(1-0.096)}{500}}=0.121

And the 95% confidence interval would be given (0.070;0.121).

We are confident (95%) that about 7.0% to 12.1% of vehicles in California are classified as sports utility .  

(b) How can you estimate the proportion of sports utility vehicles in California with a higher degree of accuracy? (HINT: There are two answers. Select all that apply.)

For this case we just have two ways to increase the accuracy one is "increase the sample size n" since if we have a larger sample size the estimation would be more accurate. And the other possibility is "decrease za/2 by decreasing the confidence" because if we decrease the confidence level the interval would be narrower and accurate

7 0
3 years ago
Two trucks leave a warehouse at the same time. One travels due east at an average speed of 50 miles per hour, and the other trav
Keith_Richards [23]

Answer:Since the vehicles are travelling in the exact opposite direction, the sum of their rates is the rate at which they are separating. 48 + 64 = 112 miles per hour of separation.

728 miles ÷ 112 miles/hour = 6.5 hours

Step-by-step explanation:

8 0
3 years ago
Which expression is equivalent to one over threep + 15? one over three(p + 45) one over three(p + 5) 3(p + 45) 3(p + 5)
elena-s [515]

Answer:

\large\boxed{\dfrac{1}{3p+15}=\dfrac{1}{3(p+5)}}

Step-by-step explanation:

"one over threep + 15":

\dfrac{1}{3p+15}=\dfrac{1}{(3)(p)+(3)(5)}=\dfrac{1}{(3)(p+5)}=\dfrac{1}{3(p+5)}

5 0
3 years ago
Read 2 more answers
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