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3 years ago

Evaluate 12.1p + 11.9r when p=7 and r=8.

Mathematics

2 answers:

Oksana_A [137]3 years ago

8 0

Answer:

179.9

Step-by-step explanation:

Substitute the value of the variable into the expression and simplify.

Hope this helps!

Assoli18 [71]3 years ago

6 0

Answer:

179.9

Step-by-step explanation:

First, plug in the numbers for the variables.

12.1(7) + 11.9(8)

Then, multiply.

12.1 x 7 = 84.7

11.9 x 8 = 95.2

rewrite your equation and add.

84.7 + 95.2 = 179.9

Hope This Helps!!

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(a) Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the prop

zalisa [80]

Answer:

(a) The sample sizes are 6787.

(b) The sample sizes are 6666.

Step-by-step explanation:

(a)

The information provided is:

Confidence level = 98%

MOE = 0.02

n₁ = n₂ = n

$\hat p_{1} = \hat p_{2} = \hat p = 0.50\ (\text{Assume})$

Compute the sample sizes as follows:

$MOE=z_{\alpha/2}\times\sqrt{\frac{2\times\hat p(1-\hat p)}{n}$

$n=\frac{2\times\hat p(1-\hat p)\times (z_{\alpha/2})^{2}}{MOE^{2}}$

$=\frac{2\times0.50(1-0.50)\times (2.33)^{2}}{0.02^{2}}\\\\=6786.125\\\\\approx 6787$

Thus, the sample sizes are 6787.

(b)

Now it is provided that:

$\hat p_{1}=0.45\\\hat p_{2}=0.58$

Compute the sample size as follows:

$MOE=z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}$

$n=\frac{(z_{\alpha/2})^{2}\times [\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})]}{MOE^{2}}$

$=\frac{2.33^{2}\times [0.45(1-0.45)+0.58(1-0.58)]}{0.02^{2}}\\\\=6665.331975\\\\\approx 6666$

Thus, the sample sizes are 6666.

7 0

3 years ago

13/18 - 5/8 in simplest form Help!

sdas [7]

Answer:

7÷72

Step-by-step explanation:

First take lcm of the denominator

Then solve

(13*4-5*9)/73

52-45/72

7/72

6 0

3 years ago

How many kilograms make a tonne<br>

kipiarov [429]

Generally in the US a ton is approximately 907 kilograms and a metric ton is equivalent to 1,000 kilograms

7 0

3 years ago

Use complete sentences to explain how to use linear factors to determine the equation of a polynomial function

Leona [35]

Answer: p(x) = a (x-b)(x-c)(x-d)

Step-by-step explanation:

The first step is to determine the degree of the polynomial.

It shall depend totally on the linear factors given for the polynomial.

If there is one, it is a linear polynomial.

If there are 2, then it is a quadratic polynomial.

If there are three then it shall be a cubic polynomial.

Now let us assume that there are three linear factors.

We multiply those factors and write the polynomial.

If x-b, x-c & x-d are the factors we write

p(x) = (x-b)(x-c)(x-d)

But as we may have a leading coefficient so we write the polynomial as

Then we go on to expand this to get the polynomial in the standard form.

8 0

4 years ago

Read 2 more answers

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Reptile [31]

Step-by-step explanation:

18% compounded monthly

charges 18% compounded semi-annually.

#1 is worse than #2 because...

Since the nominal rates are the same, the card with the more frequent compounding so it would have the higher effective rat.

Let's compare them!:

(1 + .18/12)^12 = 1.19562 ---> effective rate is 19.562 per annum

(1+.18/2)² = 1.1881

1.1881 has the effective rate of 18.88% per annum

(1 + /17/4)^4 = 1.18114.. --> effective rate is 18.114% per annum

18% monthly is .18 over 12 each month = 0.015/month

so every month multiply by 1.015

total cost = $607.99 * 1.01^number of months

18% semi annual = .18/2 every six months = .09 /half year

so every half year (6 months) multiply by 1.09

total cost = $607.99 * 1.09^ (number of months/6)

17% quarterly = .17/4 every 3 months = .0425 /quarter year

so every quarter year (3 months) multiply by 1.0425

total cost = $607.99 * 1.025^(number of months/3)

HOPE THIS HELPS YOU HAVE A GREAT GREAT GREAT FANTASTIC FRIDAY!

7 0

3 years ago