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3 years ago

Annabelles homework is 75% complete.it took her 3 hours. how long should she estimate it will take her to complete her homework.

Mathematics

2 answers:

NemiM [27]3 years ago

7 0

25℅ = 1 hour complete
100℅ = 4 hours to complete

Anna71 [15]3 years ago

7 0

Answer:

It took her 4 hours to complete her homework

Step-by-step explanation:

Let x be the time taken to complete her homework

From the question, Annabelles homework is 75% complete and it took her 3 hours, this implies that;

75% of the homework done = 3hours

75% × x = 3

$\frac{75}{100}$ × x = 3

$\frac{75x}{100}$ = 3

Multiply both-side of the equation by 100

$\frac{75x}{100}$ × 100= 3×100

At the left-hand side of the equation, 100 will cancel-out 100

75x = 300

Divide both-side of the equation by 75

75x/75 = 300/75

x = 4 hours

It took her 4 hours to complete her homework

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Steven and Bob both have a Pokemon card collection. The number of Pokemon cards in Steven's collection can be represented by x.

Arada [10]

Answer: 48

Step-by-step explanation:

The number of Pokemon cards in Steven's collection = x

The number of cards in Bob's collection is 4 times the amount in Steven's collection= 4x

The total number of Pokemon cards in both collections = 240

x + 4x = 240

5x = 240

x = 240/5

x = 48

The number of cards in Steven's collection is 48

8 0

3 years ago

A company surveyed adult Americans about their consumer debt. They reported that 48% of Millennials (those born between 1980 and

sergeinik [125]

Answer:

We reject H₀ at 95 % of CI the group of Gen Xers who do not pay their credit card each month, is greater than this proportion for Millennians

Step-by-step explanation:

Sample proportion 1: Born between 1980 and 1996

sample size n₁ = 450

p₁ = 0,48 p₁ = 48 %

x₁ = 0,48 * 450 x₁ = 216

Sample proportion 2: Born between 1965 and 1971

sample size n₂ = 300

p₂ = 0,60 p₂ = 60%

x₂ = 0,6* 300 x₂ = 180

Test Hypothesis:

Null Hypothesis H₀ p₂ = p₁

Alternative Hypothesis H p₂ > p₁

Samples both big enough to use the normal distribution as an approximation to the binomial distribution.

We assume CI = 95 % then significance level α = 5 % the alternative hypothesis tells us that we need to develop a one-tail test to the right.

z-score is z(c) for α = 0,05 from z-table z(c) = 1,64

To calculate z(s)

z(s) = ( p₂ - p₁ ) / √ p*q ( 1 /n₁ + 1 / n₂)

p₂ - p₁ = 0,60 - 0,48

p₂ - p₁ = 0,12

p = ( x₁ + x₂ ) / n₁ + n₂

p = ( 216 + 300) / 450 + 300

p = 516 / 750 p = 0,688 then q = 1 - p q = 0,312

z(s) = 0,12 / √ 0,688*0,312* ( 1/450) + 1/ 300)

z(s) = 0,12 / √ 0,2146* ( 0,0022 + 0,0033)

z(s) = 0,12 / √ 0,001192

z(s) = 0,12/ 0,03452

z(s) = 3,47

Comparing |z(c)| and |z(s)|

z(s) > z(c)

Then z(s) is in the rejection region. We reject H₀.

We can support the claim that the proportion of the group Gen Xers who do not pay their credit card is greater than Millennians

6 0

3 years ago

Which of the following are polynomial functions? Check all that apply.

steposvetlana [31]

Answer:

C and E

Step-by-step explanation:

A polynomial is a function where the only operation is an exponent on the variable. It can have just one term or many terms. For example, x^2 is a polynomial but x^2 / x+3 is not since it also contains division. This is a rational. Using this definition then only C and E are polynomials.

Choice A has a rational term. This is not polynomial.

Choice B has an exponent of -2 which is actually division. This is rational and not polynomial.

Choice D has a radical term with the variable. This is not polynomial.

7 0

3 years ago

Find the nth term of this 5 7 9 11 13

NemiM [27]

Firstly, seeing that the sequence is based on odd numbers I would say that this is the formula (which will allow you to know whatever term):

nth term = 2n-1

Hope this helps!

4 0

3 years ago

Read 2 more answers

Simplify sin(3pi minus x)

Slav-nsk [51]

Answer:

sinx

Step-by-step explanation:

hello :

note :

for all x in ℝ : 1) sin(x+2π) = sinx 2) sin(π-x) = sinx

in this exercice :

3π - x = 2π+(π - x)

sin(3π - x) = sin(2π +(π - x)) =sin(π-x) = sinx

8 0

3 years ago