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sdas [7]
3 years ago
12

You your driving from Austin to Houston with a constant speed of 120km/hr (75 mph). After 1.5 hr you stop for 0.5 hr. Then you c

ontinue driving with a new constant speed v2 and reach Houston 45 mins later. If the total distance from Austin to Houston is 265km, what is the speed v2?
Mathematics
1 answer:
Aneli [31]3 years ago
7 0

Answer:

69

Step-by-step explanation:

i'm just hear to get points sorry

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A high school principal wishes to estimate how well his students are doing in math. Using 40 randomly chosen tests, he finds tha
ollegr [7]

Answer:

99% confidence interval for the population proportion of passing test scores is [0.5986 , 0.9414].

Step-by-step explanation:

We are given that a high school principal wishes to estimate how well his students are doing in math.

Using 40 randomly chosen tests, he finds that 77% of them received a passing grade.

Firstly, the pivotal quantity for 99% confidence interval for the population proportion is given by;

                          P.Q. = \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of students received a passing grade = 77%

           n = sample of tests = 40

           p = population proportion

<em>Here for constructing 99% confidence interval we have used One-sample z proportion test statistics.</em>

So, 99% confidence interval for the population proportion, p is ;

P(-2.5758 < N(0,1) < 2.5758) = 0.99  {As the critical value of z at 0.5%

                                           level of significance are -2.5758 & 2.5758}  

P(-2.5758 < \frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } < 2.5758) = 0.99

P( -2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < {\hat p-p} < 2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.99

P( \hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } < p < \hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } ) = 0.99

<u>99% confidence interval for p</u> = [\hat p-2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } } , \hat p+2.5758 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }]

 = [ 0.77-2.5758 \times {\sqrt{\frac{0.77(1-0.77)}{40} } } , 0.77+2.5758 \times {\sqrt{\frac{0.77(1-0.77)}{40} } } ]

 = [0.5986 , 0.9414]

Therefore, 99% confidence interval for the population proportion of passing test scores is [0.5986 , 0.9414].

Lower bound of interval = 0.5986

Upper bound of interval = 0.9414

6 0
3 years ago
Which expression is equivalent to (7x^2-4)(5x+7)
zepelin [54]

Expand to get 35x^3+49x^2-20x-28


8 0
3 years ago
Read 2 more answers
Insert 2 sets of parentheses to make each sentence true: 2 x 14 – 9 – 17 – 14 = 7
Morgarella [4.7K]

Answer:

- 12

Step-by-step explanation:

2x14= 28

28-9=19

19-17=2

2- -14= - 12

3 0
3 years ago
16. Subtract: 5 - 3 1/3<br>A. 1 2/3<br>B.2 2/3 <br>C.3 1/3 <br>D. 2 1/3​
Ket [755]

Answer: Your answer is A

hope this helps!

3 0
2 years ago
A baby giraffe measures 6 feet tall when it is
Anni [7]

Answer:

  • Giraffes are the tallest mammal on Earth.
  • They can run as fast as 35 miles an hour!
  • They spend most of their lives standing up, they even sleep standing up!
3 0
3 years ago
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