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3 years ago

How many 3/4 teaspoons of salt are in 1/3 of a teaspoon of salt?

1 answer:

8 0

First You Need To Convert 3/4 And 1/3 To A LCD Of 12. 4/12 Divided By 9/12. You Can Flip The Second # And Then Multiply Across. 4/12 Times 12/9 OR 1/3 Times 4/3. Four Ninths Is The Final Answer. 4/9.

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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

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

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

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

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

= [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

2 years ago

Conduct a hypothesis test to test the hypothesis that cloud seeding with silver nitrate increases rainfall. Use significance lev

masya89 [10]

Answer:

Paired t-test

Step-by-step explanation:

paired t–test is used when there is one measurement variable and two nominal variables. The most common design is that one nominal variable represents individual organisms, while the other is "before" and "after" some treatment.

6 0

3 years ago

Janice drove 360 miles in 6 hours. If she travels a constant rate, calculate the distance she will cover in 7 hours?

Hitman42 [59]

Answer:

420 Mile's.

Step-by-step explanation:

First you figure out the unit rate by dividing 360 by 6 which is 60. So that's 60 miles per hour. Now multiply 60 by 7 to find out how many miles she will drive in 7 hours. When you multiply you get 420.

5 0

2 years ago

Read the proposition and the implication shown below. "If the lights are off, there is no one inside." Which statement is a cont

charle [14.2K]

The contrapositive switches the hypothesis and the conclusion and negates both in this form:
Statement: If A, then B
Contrapositive: If not B, then not A.

In this case, the statement is:
 "If the lights are off, there is no one inside."
Contrapositive:
If there is someone inside, the lights are on.

4 0

2 years ago

Find the slope of the line?

LenKa [72]

Answer:

-3/4

Step-by-step explanation:

Option 1

Direction of the line: Down

-Negative Slope

Rise=-3

Run=4

Rise/Run=-3/4

Option 2

Points: (1,-2) and (-3,1)

y2-y1/x2-x1= 1-(-2)/-3-1

1+2/-3-1

-3/4

3 0

3 years ago

Read 2 more answers