Bernadette spent $23 at the arcade. She purchased two drinks and spent $17 on games. What was the cost of each drink?

Help please 4, 5, 6.......

Assoli18 [71]

4. Supplementary angles together make a straight line (two right angles). So BOE is supplementary to BOC

Answer: ∠BOE

5. Distance and midpoint between (4,-2), (6,8)

$d = \sqrt{ (6-4)^2 + (8 - -2)^2} = \sqrt{2^2+10^2}=\sqrt{104}=2 \sqrt{26}$

midpoint

$\left(\dfrac{4 + 6}{2}, \dfrac{-2 + 8}{2} \right) = (5, 3)$

Answer: distance 2√26, midpoint (5, 3)

6.That's a rectangle oriented parallel to the axes, width parallel to the x axis of 7 - -3 = 10 and length along y of 1 - - 4 = 5, so an area of 10(5)=50

Answer: 50

5 0

4 years ago

How many years would it take to make $500 interest on a 12000 investment at 3% per year

padilas [110]

Answer:

$t=1.4\ years$

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=?\\ P=\$12,000\\ I=\$500\\r=3\%=3/100=0.03$

substitute in the formula above

$500=12,000(0.03t)$

solve for t

$500=360t$

$t=500/360$

$t=1.4\ years$

7 0

3 years ago

An amusement park would like to determine if they want to add in a new roller coaster. In order to decide whether or not they sh

Rzqust [24]

Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 90% confidence level, hence $\alpha = 0.9$ , z is the value of Z that has a p-value of $\frac{1+0.9}{2} = 0.95$ , so the critical value is z = 1.645.

The sample size and the estimate are given by:

$n = 600, \pi = \frac{400}{600} = 0.6667$

Hence, the bounds of the interval are given by:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 - 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6350$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 + 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6984$

The 90% confidence interval is given by: (0.6350, 0.6984).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

5 0

2 years ago

I need help right now with homework plz.<br><br>both of them are on the same homework page.

katovenus [111]

Answer:

For the first one I believe it is 90

Step-by-step explanation:

All I did to solve this was do 180 which is the diameter and divide by 2

4 0

3 years ago

Read 2 more answers

Five cats each ate 1/4 cup of cat food. How much food did the five cats eat?

qaws [65]

Answer: Five cats ate 1 and a quarter of cat food.

Step-by-step explanation

Given:-

Cat food ate by one cat = 1/4 cup

Cat food ate by five cats = $5\times \frac{1}{4} \text{ [Multiplying both sides with 5 ]}\\\\=\frac{5}{4}=\frac{4+1}{4}=\frac{4}{4}+\frac{1}{4}=1+\frac{1}{4}$ =1 and 1/4 cup.

Therefore cat food ate by five cats = 1 and a quarter of cup.[ here a quarter =1/4]

7 0

3 years ago