NEED HELP ON THIS ASAP PLZ!! (Marking BRAINLIST) :D​

a. The teacher can expect the batteries to last at least 92.09 days  on minimum average.

b. The teacher will need to spend at most $49.92 on batteries for calculators over the year.

What is minimum average day?

a. The margin of error of ‡9% means that we can be 95% confident that the true average number of days the batteries will last is within 9% of the sample average. To find the minimum average number of days a teacher can expect to have the batteries last in her classroom, we subtract the margin of error from the sample average:

Minimum average = 101 - (0.09)(101) = 92.09 days (rounded to two decimal places)

Therefore, the teacher can expect the batteries to last at least 92.09 days on average.

What is spend ?

b. The total number of batteries required for the 24 TI-84 calculators is:

24 calculators x 4 batteries per calculator = 96 batteries

The total cost of the batteries will be:

96 batteries x $0.52 per battery = $49.92 (rounded to two decimal places)

Therefore, the teacher will need to spend at most $49.92 on batteries for calculators over the year, assuming all batteries need to be replaced.

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Answer:

3/7=0.4285

Step-by-step explanation:

0.4285

= 0.429

Answer:

2,4 3,5

Step-by-step explanation:

Answer:

Step-by-step explanation:

a = 2i + 3j + zk

b = xi + 1j + 4k

Given a X b = 6i -14j +5k

a X  b  = | i   j   k|

              |2  3   z|

              |x   1    4|

a X b = i(12-z) - j(8 - xz) + k(2-3x) = 6i -14j +5k

equate the coefficients of i , j and k

12- z = 6;  implies z = 6

8 - xz = -14 implies 8 - 6x = -14

2-3x = 5     implies 2 - 3x = 5 implies  x = -1

Therefore, Heather's account balance will be $4,042.18 after 9 years if the interest is compounded 4 times each year.

Compound interest is a method of calculating interest where the interest earned on an investment is added to the principal amount, and the interest on the new total is calculated for the next period. This process continues over time, resulting in the gradual growth of the investment.

Given by the question.

To calculate the account balance after 9 years with compounded interest, we can use the formula:

A = P \((1 + r/n) ^{nt}\)

Where:

A = the account balance after t years

P = the initial investment

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

Plugging in the given values, we get:

A = 2975 \((1+0.035/4)^{4*9}\)

A = 2975  \((1 + 0.00875)^{36}\)

A = 2975  \((1.00875) ^{36}\)

A = 2975(1.358016)

A = 4042.18

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Answer:

a) 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance = (0.498, 0.547)

This means we are 95% confident that the true proportion all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is within the range 49.8% and 54.7%.

b) The confidence interval from part (a) is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B because the interval obtained contains proportions that are greater than 50% indicating that there is significant evidence that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is more than half of the total population.

Step-by-step explanation:

Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion = (820/1570) = 0.5223

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 95% confidence interval for sample size of 1570 is obtained from the z-tables.

Critical value = 1.960

Standard error of the mean = σₓ = √[p(1-p)/n]

p = sample proportion = 0.5223

n = sample size = 1570

σₓ = √(0.5223×0.4777/1570) = 0.0126063049 = 0.01261

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.5223 ± (1.96 × 0.01261)

CI = 0.5223 ± 0.02471

95% CI = (0.4975916424, 0.5470083576)

95% Confidence interval = (0.4976, 0.5470)

We are 95% confident that the true proportion all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is within the range 49.8% and 54.7%.

b) The confidence interval from part (a) is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B because the interval obtained contains proportions that are greater than 50% indicating that there is significant evidence that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is more than half of the total population.

Hope this Helps!!!!

Answer:

\(13k - 5\)

Step-by-step explanation:

\(5(2k + 2) + 3(k - 5) = 10k + 10 + 3k - 15 \\ = 13k - 5\)

The Vales of x in the equations are : 1) 3 (2) 1  (3) 5  (4) 14  (5) 10 respectively

A linear equation in one variable is that in which the highest power of its variable is 1

The given equations and their solutions are

2x +1 = 7

By collecting like terms we have

2x = 3

x = 3

2) The given equation is 4x +7 = 11

By collecting like terms we have

4x = 4

Making x the subject we have

x = 1

3) 2x -3 = 7

By collecting like terms we have

2x = 10

Making x the subject we have

x = 5

4) 1/2 x - 3 = 7

By collecting like terms we have

1/2x = 7

x= 14

5) The given equation is 3x - 11 = 19

By collecting like terms we have

3x= 30

Therefore x= 10

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Answer:

$300

Step-by-step explanation:

$240 × 125% is $300

We can use the method of calculating the percentage of an amount to find out the discount amount. The new price of the dining table will be $300.

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

Thus, unit price of something is price of 1 thing.

Therefore, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

We have been given that A store paid $240.00 for a dining table and The manager of the store marks up the table by 125%.

Therefore,  125% of $240

$240 × 125%

$240 × 1.25

= $300

Hence, the new price of the dining table will be $300.

We can use the method of calculating the percentage of an amount to find out the discount amount.

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Answer:

\(a \leqslant 10\)

Step-by-step explanation:

a is less than or equal to 10

less than: <

equal: =

less than or equal to: ≤

Hope this helps ;) ❤❤❤

hope it helps you

imp=draw dark shaded point in thqt line and point towards left

The number of trees that this farmer should plant per acre to maximize her harvest is 50 trees.

In order to solve this word problem, we would assign a variable to the number of trees per acre, and then translate the word problem into algebraic equation as follows:

Let the variable x represent the number of trees per acre.

Mathematically, the total yield for an acre can be calculated by using this mathematical expression:

Total yield for an acre (T) = yield of each tree × number of trees per acre

Substituting the given parameters into the mathematical expression, we have the following;

Total yield for an acre (T) = (50 - 2x) × (75 + x)

Total yield for an acre (T) = 3,750 + 50x - 150x - 2x²

Total yield for an acre (T) = 3,750 - 100x - 2x²

Next, we would differentiate with respect to x and equate to zero to find the maximum harvest:

dT/dx = d/dx(3,750 - 100x - 2x²)

dT/dx = -100 - 4x

0 = -100 - 4x

4x = -100

x = -100/4

x = -25

Therefore, the required number of trees for maximum harvest:

Number of trees = 75 + x

Number of trees = 75 - 25

Number of trees = 50 trees.

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Step-by-step explanation:

If a transversal intersects two parallel lines, then each pair of interior angles on the same side of the transversal is supplementary, i.e. they add up to 180°.

Answer:

you multiply through parenthesis

Step-by-step explanation:

ex.

3(3x+4)=48

9x+12=48

-12. -12

9x=36

9x/9. 36/9

x=4

I think this is what you are asking but I'm not for sure

Humanity would achieve a life expectancy of 110 years in approximately 60 years.

To calculate the number of years it would take for humanity to achieve a life expectancy of 110 years, we need to determine the number of decades required to reach this goal based on the given rate of increase.

In 2009, the life expectancy was about 80 years. From that point, we need to calculate the difference between the current life expectancy and the target life expectancy of 110 years.

110 years - 80 years = 30 years

Since the rate of increase is 5.3 years every decade, we can divide the difference by the rate to determine the number of decades required:

30 years / 5.3 years per decade ≈ 5.66 decades

Since we can't have a fraction of a decade, we need to round up to the nearest whole number. Therefore, it would take approximately 6 decades for humanity to achieve a life expectancy of 110 years.

To calculate the number of years, we multiply the number of decades by 10:

6 decades * 10 years per decade = 60 years

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Answer:

 \(\dfrac{x^2+8x+8}{2x+4}\\\\\)

Step-by-step explanation:

Simplify:

        \(\dfrac{3x + 4}{x +2}+\dfrac{x^2+2x}{2x+ 4}\)

Multiply the denominator and the numerator of the first term by 2,

                        \(=\dfrac{2*(3x +4)}{2*(x+ 2)}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{2*3x+2*8}{2*x +2*2}+\dfrac{x^2+2x}{2x+4}\\\\\\=\dfrac{6x+8}{2x+4}+\dfrac{x^2+2x}{2x+4}\)

                       \(\sf = \dfrac{6x+8+x^2+2x}{2x+4}\\\\\text{\bf Combine like terms,}\\\\=\dfrac{x^2+8x+8}{2x+4}\\\\\)

The conversion is given as 1, 760 feet per second

We need to convert 20miles per hour to feet per second

First, we should convert miles to feet

1 mile = 5280 feet

Then,

20 miles = x

Cross multiply

20 × 5280 = x

x = 105, 600

Per hour = I hour = 60 seconds

To find the conversion, we divided the conversion to feet by that of the time

= 105, 600/60

= 1, 760 feet per second

Thus, the conversion is given as 1, 760 feet per second

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Answer: 8 and 0.6666

4 times 2: Count by twos four times to get 8.

Divide 2 by 3: think about if 2 can go into 3. Since 3 is bigger than 2 you have to add a zero to the end of two to make it 20. 3 can go into 20 six times. It should be a repeating decimal.

Answer:

C. A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.

E. A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.

Step-by-step explanation:

These two are the biased reports because they don't include the full population.

C is biased because it only includes teens, not people of any other age.

E is biased because it only included males, not females.

A isn't biased because it includes the stated population, high school students in the city.

B isn't biased because the sample was of 50 random customers, which is the general population.

D isn't biased as it included all data from the website.

Hope this helps!

The solution is,:

1) A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.

3) A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.

A portion of population taken and analyzed to predict information about population is called sample of that population.

Ex: When someone surveys a group, then he/she surveys a portion and not whole population in general.

Those numbers who summarize information about sample are called statistic.

(Statistic is different than statistics)

The  numbers which summarize information about the sample are called statistic.

The scenarios in which the statistics are misleading;

1) A clothing store claims that 45% of its customers prefer skinny jeans over regular jeans. They concluded this from a survey which asked 120 randomly selected teenage customers which style they prefer.

3) A report by a company that manufactures hair brushes says 56% of people who buy their brushes own only one hair brush. The conclusion comes from a survey of 500 males who bought the company's brush.

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Step-by-step explanation:

2.5 km = 250000 cm

250000 cm /20000 = 12.5 cm on the map

12.5 cm ^2  x 20 0000 x 20 000   = 5 000 000 000 cm^2 = 500 000 m^2  

Answer:

x²+x-1=0

3x²-12x-9=0

Undefined

Answer:

3/4

Step-by-step explanation:

Step 1:

1/2 ÷ 2/3

Step 2:

1/2 × 3/2

Answer:

3/4

Hope This Helps :)

The answer is 1/3.

A fraction is a number which represents the part of a whole or collection of objects. It is in the from of \(\frac{a}{b}\) where a represents the numerator part and the b represents the denominator parts.

1/2 divided by 2/3

To divide two fraction, we have to write reciprocal of the divisor fraction,

⇒\(\frac{1}{2}*\frac{2}{3}\) = \(\frac{1}{3}\)

Hence, the answer is 1/3.

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Answer:

\(\frac{1}{9}\) feet³

Step-by-step explanation:

\(\frac{1}{3}\)×\(\frac{2}{3}\)×\(\frac{1}{2}\)=\(\frac{2}{18}\)=\(\frac{1}{9}\)

Answer:

V = 1/9 ft^3

Step-by-step explanation:

The volume is given by

V = l*w*h  where l = length, w = width, h = height

V = 1/3 * 2/3 * 1/2

V = 2/9*1/2

V = 1/9 ft^3

Answer:

A+B      S+B       C+B

Step-by-step explanation:

Collinear points are the points that lie on the same straight line or in a single line

Answer:

d= 6 and 12  

h= 7 and 9

welp that’s the formula

Answer:

The GCF is 8

Step-by-step explanation:

Answer:

5

Step-by-step explanation: