You go to a party which has 1000 guests (including you)., probability that at least 2 have the same birthday as you

Purchased a living room set for $3,800 at 11% add on interest for 3 years , whats the nearest tenth of a percent for the loan de

ELEN [110]

Answer:

The loan amount after 3 years is $ 5,196.88

Step-by-step explanation:

Given as :

The principal amount for room loan = $ 3,800

The rate of interest applied = 11% compounded annually

The time period of loan = 3 years

Let The Total loan amount = $ A

Now, From Compounded method :

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

or, A = $ 3,800 × $(1+\dfrac{\textrm 11}{100})^{\textrm 3}$

or, A = $ 3,800 × (1.11)³

or, A = $ 3,800 × 1.3676

∴ A = $ 5,196.88

So, Amount after 3 years = A = $ 5,196.88

Hence The loan amount after 3 years is $ 5,196.88 Answer

3 0

3 years ago

What is the sign of the product (–5)(–3)(–8)(–6)? Positive, because the products (–5)(–3) and (–8)(–6) are negative, and the pro

sasho [114]

Answer:

Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive

Step-by-step explanation:

There are an even number of negative factors, so the product is positive:

Positive, because the products (–5)(–3) and (–8)(–6) are positive, and the product of two positive numbers is positive

4 0

3 years ago

(x)=7x-3 and g(x)=x^2-4,find (f+g)(x)

defon

Good morning ☕️

Answer:

Step-by-step explanation:

f(x)=7x-3 and g(x)=x²-4

(f+g)(x) = f(x) + g(x) = 7x - 3 + x²- 4

= x² + 7x - 7

_________________________

:)

5 0

3 years ago

1. The data given below includes data from 42 candies, and 7 of them are red. The company that makes the candy claims that 33%

jeyben [28]

Answer:

The 95% confidence interval for true proportion of red candies is (5%, 27%).

The true proportion of red candies made by the company is different from 33%.

Step-by-step explanation:

The hypothesis to determine whether the claim made by the candy company is correct or not is:

H₀: The true proportion of red candies made by the company is 33%, i.e. p = 0.33.

Hₐ: The true proportion of red candies made by the company is different from 33%, i.e. p ≠ 0.33.

A (1 - α)% confidence interval can be constructed to check this claim.

The decision rule is:

If the confidence interval consists the null value then the null hypothesis will not be rejected. Otherwise it will be rejected.

The (1 - α)% confidence interval for population proportion is:

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

The information provided is:

n = 42

X = number of red candies = 7

Compute the sample proportion of candies that are red as follows:

$\hat p=\frac{X}{n}=\frac{7}{42}=0.167$

The critical value of z for 95% confidence level is:

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table for the critical value.

Compute the 95% confidence interval for true proportion of red candies as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.167\pm 1.96\times \sqrt{\frac{0.167(1-0.167)}{42}}\\=0.16\pm0.1137\\=(0.0463, 0.2737)\\\approx(0.05, 0.27)$

The 95% confidence interval for true proportion of red candies is (5%, 27%).

The confidence interval does not contains the null value.

Thus, the null hypothesis will be rejected at 5% level of significance.

Conclusion:

The true proportion of red candies made by the company is different from 33%.

7 0

3 years ago

What is 150% of 30? please answer lol

sdas [7]

Answer:

45

Step-by-step explanation:

When × by values higher than 100%, you divide the number by ten and add it to the number you are taking percentage of In this case, 15+30 = 45

4 0

2 years ago

Read 2 more answers