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Artyom0805 [142]
3 years ago
5

In a class test, +4 marks were awarded for the correct answers and -1 mark for the wrong answers. Student scores 40 marks. If hi

s correct answers were 11, find his wrong answers.
Mathematics
1 answer:
nikklg [1K]3 years ago
7 0

Step-by-step explanation:

Let <em>y</em> the number of wrong answers got.

11( + 4) + ( - 1)y = 40 \\ 44  - y = 40 \\  - y =  - 4 \\ y = 4

∴ He got 4 wrong answers.

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A random sample of 1000 registered voters in Flagstaff found 760 registered voters who support immigration reform. Find a 95% co
dusya [7]

Answer: (0.7335,\ 0.7865)

Step-by-step explanation:

Given : A random sample of 1000 registered voters in Flagstaff found 760 registered voters who support immigration reform.

sample size : n= 1000

sample proportion: \hat{p}=\dfrac{760}{1000}=0.76

Critical value for 95% confidence interval = z_{\alpha/2}=1.96

Confidence interval :

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.76\pm(1.96)\sqrt{\dfrac{0.76(1-0.76)}{1000}}\\\\=0.76\pm0.0264708866493\\\\\approx0.76\pm0.0265\\\\=(0.76-0.0265,\ 0.76+0.0265)=(0.7335,\ 0.7865)

Hence, the  95% confidence interval for the true percent of registered voters in Flagstaff who support immigration reform: (0.7335,\ 0.7865)

6 0
3 years ago
1 3/5 divided by 2/5
madreJ [45]

Answer:

4

Step-by-step explanation:

1 3/5 ÷ 2/5

Change the mixed number to an improper fraction

( 5*1+3)/5 ÷ 2/5

8/5 ÷ 2/5

Copy dot flip

8/5 * 5/2

Rewriting

8/2 * 5/5

4*1

4

5 0
3 years ago
The owner of a garden center pays $12 for each birdbath. She sells them for 55% more than she paid. Decide whether each expressi
velikii [3]

Answer:

Selling\ Price = 12b(1.55)

Step-by-step explanation:

Given

Cost\ Price = \$12

Selling\ Price = 55\%\ more

Required

Write an expression for the selling price for b birdbaths

This selling price for 1 birdbath is calculated as:

Selling\ Price = Cost\ Price + 55\% * Cost\ Price

Substitute 12 for Cost Price

Selling\ Price = 12 + 55\% * 12

Factorize:

Selling\ Price = 12(1 + 55\%)

Express percentage as decimal

Selling\ Price = 12(1 + 0.55)

Selling\ Price = 12(1.55)

For b birdbaths, the selling price is:

Selling\ Price = 12(1.55) * b

Selling\ Price = 12b(1.55)

<em>The options are not clear; However </em>12b(1.55)<em> answers the question.</em>

6 0
3 years ago
A car is traveling at 5m/s. How far has it gone in 12seconds
coldgirl [10]
The car would’ve travelled 60m because 5*12=60
5 0
3 years ago
Bill deposits $500 into an account that pays simple interest at a rate 6% per year. How much will he be paid in the first 5 year
KATRIN_1 [288]
The answer is A=$650

The equation to solve this is: A=P(1+rt)

More specific to this problem:
A = 500(1 + (0.06 × 5)) = 650
A = $650.00
4 0
3 years ago
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