All categories

3 years ago

Sue answers 43 out of 60 questions correctly. What percentage of her answers are incorrect?

Mathematics

2 answers:

eduard3 years ago

8 0

Answer:

28 1/3 %

Step-by-step explanation:

60-43 = 17 answers INCORRECT

17/60 * 100 = 28 and 1/3 %

nirvana33 [79]3 years ago

8 0

Answer: 28.(3) 3 is repeating

Step-by-step explanation: When we start this problem, we should find out what answers Sue answered incorrectly. Since the problem already tells us that she answered 43 of them correctly(out of 60), all we need to do is subtract: 60-43

That’s when we learn that Sue answered 17 of the 60 questions incorrectly. Now, we need to convert 17/60 into a percentage.

If you didn’t know, in order to convert a fraction into a percentage, you have to first divide the numerator by the denominator, then multiply by 100.

So, 17 divided by 60 will give us 0.28(3). (The reason I put a parenthesis around 3 is that it is a repeating number). After, we have to multiple that decimal by 100 or simply move the decimal point by 2 places. Therefore, we get: 28.(3)

You might be interested in

If A = {1, 2, 3, 4}, what is n(A)?

Elis [28]

Answer:

Step-by-step explanation:

Count the number of elements in A

n(A) = 4

3 0

3 years ago

Find the equation of the line perpendicular to y=-2/3x -7 that runs through the points (6,1) in slope intercept form

SVEN [57.7K]

The equation of line is:

$y = \frac{3}{2}x-8$

Further explanation:

Given equation of line

$y=-\frac{2}{3}x-7$

Comparing it with the standard form

y = mx + b gives us:

slope = m1 = -2/3

Let m2 be the slope of second line

The product of slopes of two perpendicular lines is -1.

$m_1* m_2 = -1\\-\frac{2}{3} *m_2 = -1\\m_2 = -1 * -\frac{3}{2}\\m_2 = \frac{3}{2}\\Putting\ in\ standard\ form\\y = \frac{3}{2}x +b$

We have to find the value of b. So, Putting the point(6,1)

$1 = \frac{3}{2}(6) +b\\1 = (3 * 3) + b\\1=9+b\\1-9 =b\\b = -8\\The\ final\ equation\ is:\\y= \frac{3}{2}x -8$

Keywords: Coordinate geometry, Point-slope form

Learn more about coordinate geometry at:

#LearnwithBrainly

7 0

3 years ago

38:5

evablogger [386]

Answer:

its radius

PLZ MARK ME AS BRAINLIEST★♥

4 0

3 years ago

We wish to estimate what percent of adult residents in a certain county are parents. Out of 300 adult residents sampled, 144 had

ser-zykov [4K]

Answer:

90% confidence interval for the proportion p of adult residents who are parents in this county is [0.433 , 0.527].

Step-by-step explanation:

We are given that we wish to estimate what percent of adult residents in a certain county are parents. Out of 300 adult residents sampled, 144 had kids.

Firstly, the pivotal quantity for 90% confidence interval for the proportion p of adult residents who are parents in this county is given by;

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

where, $\hat p$ = proportion of adults residents who are parents in this county in a sample of 300 adults = $\frac{144}{300}$ = 48%

n = sample of adults residents = 300

p = population proportion of adults

<em>Here for constructing 90% confidence interval we have used One-sample z proportion statistics.</em>

So, 90% confidence interval for the population proportion, p is ;

P(-1.6449 < N(0,1) < 1.6449) = 0.90 {As the critical value of z at 5%

significance level are -1.6449 & 1.6449}

P(-1.6449 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.6449) = 0.90

P( $-1.6449 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $1.6449 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.90

P( $\hat p-1.6449 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.6449 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.90

<u>90% confidence interval for p </u>= [ $\hat p-1.6449 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.6449 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.48-1.6449 \times {\sqrt{\frac{0.48(1-0.48)}{300} } }$ , $0.48+1.6449 \times {\sqrt{\frac{0.48(1-0.48)}{300} } }$ ]

= [0.433 , 0.527]

Therefore, 90% confidence interval for the proportion p of adult residents who are parents in this county is [0.433 , 0.527].

4 0

3 years ago

Steve needs to find the circumference of a circle with a diameter of 12 inches. He uses a calculator to find the circumference.

Misha Larkins [42]

R = 12/2 = 6 π = 3.14

Circumference of a circle: C = 2πr

2*3.14*6
6.28*6 = 37.68 or 37.69

The last options seems reasonable

Hope that helps!

3 0

3 years ago