I need help on these questions

Three students were given the expression shown to simplify<br><br> 1-8(10x-3)

madreJ [45]

Answer:

-70x + 21

Step-by-step explanation:

1-8(10x-3)

-7(10x-3)

Use distributive property

-70x + 21

(This is how we learned to do it in my school)

6 0

3 years ago

Read 2 more answers

According to a study done by Wakefield Research, the proportion of Americans who can order a meal in a foreign language is 0.47.

UNO [17]

Answer:

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

Step-by-step explanation:

We are given that according to a study done by Wake field Research, the proportion of Americans who can order a meal in a foreign language is 0.47.

Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language.

<em>Let </em> $\hat p$ <em> = sample proportion of Americans who can order a meal in a foreign language</em>

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = population proportion of Americans who can order a meal in a foreign language = 0.47

n = sample of Americans = 200

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.06) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ > $\frac{0.5-0.47}{\sqrt{\frac{0.5(1-0.5)}{200} } }$ ) = P(Z > 0.85) = 1 - P(Z $\leq$ 0.85)

= 1 - 0.80234 = <u>0.19766</u>

<em>Now, in the z table the P(Z </em> $\leq$ <em>x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.85 in the z table which has an area of 0.80234.</em>

Therefore, probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

4 0

4 years ago

The regular price of running shoes is $89.00. They are on sale for 20% off.

noname [10]

Answer:

a. 17.80 b. 71.20

Step-by-step explanation:

I used to hate percents. Let me teach you a trick:

take the og value (89) and multiply it by the percentage (20% or 0.2). Then once you have that answer (17.80), subtract it from the og value (89-17.80). That's your answer for how much you still owe! (71.20)

any other follow up questions? Just ask :)

8 0

3 years ago

Michael is planning to invest his 2,000 into a bank account between investment A with 8% simple interest or investment B with 6%

Angelina_Jolie [31]

The investment with the bigger return is investment B.

<h3>What is simple interest and compound interest?</h3>

Simple interest rate is the interest that is paid only on the principal portion of a loan. This means that the debtor does not pays interest on the interest rate already accrued. This differs from compound interest where the debt holder pays interest on the principal and the interest rate already accrued

<h3>What is the compound interest?</h3>

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value
P = Present value
R = interest rate
N = number of years

2000 x (1.06)^12 = $4024.39

Compound interest = $4024.39 - $2000 = $2024.39

<h3>What is the simple interest? </h3>

Simple interest = principal x time x interest rate

2000 x 0.08 x 12 = $1920

To learn more about future value, please check: brainly.com/question/18760477

3 0

2 years ago

Dima called her friend to tell her that she saved 30% on her new skirt at a discount store. Her friend told her that she could h

Mkey [24]

Answer:

The correct answer is $1.80

8 0

3 years ago

Read 2 more answers

I need help on these questions​

I need help on these questions