Which of the following elements represents part of the whole? a. percentage b. base c. rate d. both a and b

Sn = a(1-r^n)/(1-r)

Sn= 2(1-1/4096)/0.75= 2.67

9514 1404 393

Answer:

  Q = ±2√R

Step-by-step explanation:

Take the square root:

  ±√R = 1/2Q

Multiply by 2:

  Q = ±2√R

Answer:

The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{0.25}{\sqrt{100}} = 0.06[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.5 - 0.06 = 7.44 ounces.

The upper end of the interval is the sample mean added to M. So it is 7.5 + 0.06 = 7.56 ounces.

The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).

Answer:

Answer is 120/1

Step-by-step explanation:

Marsha can type 120 words per minute. Which ratio describes this relationship between her words typed and time?

Marsha an type in 1 minute = 120 words

The ratio can be described word types and time = 120 words per 1 min

                                                                                 = 120/1

Answer: D

Step-by-step explanation:

My answers correct becuase, A ratio is just the numbers put together put a : in between them. So if it is asking us words to the time all we have to do is put 120 and then a semicolone and 1. 120:1 And D is the one that has that answer so D is correct. Additonal Information: Also sometimes you would have to divide the number equally to get the ratio.

Hope This Helps!

Answer:

£90 more

Step-by-step explanation:

4+1=5

150/5=30

I:T

4:1 ×30

120:30

120-30=90

Answer:

-3, 4

Step-by-step explanation:

__________________

Answer:

t=9/10 Hope that helped

Answer:

B, 20,000

Step-by-step explanation:

429 X 48 = 20,598

If you estimate, it would be 20,000.

So, there you know B, 20,000 is your answer.

Answer:

an = 10n - 9.

Step-by-step explanation:

This is arithmetic with first term a1 = 1 and common difference 10.

an = a1 + d(n-1)

= 1 + 10(n - 1)

= 1 + 10n - 10

= 10n - 9.

Answer:

-1, 5

Step-by-step explanation:

no really explanation, but its a graph and when u have agraph x goes before y. and the x in the middle of it is what its talking about and u can see the middle is on a 5 and a -1

Answer:

All functions are relations

Step-by-step explanation:

Answer:

D: 7

Step-by-step explanation:

1.75 (7) + 4.50

12.25 + 4.50

= 16.75

16.75 < 20

Answer:

Step-by-step explanation:

Formula = V = l x w x h

V = 4.25 x 2.75 x 5

V = 58.438 --> 58.44

Answer:

The answer is -3.

Step-by-step explanation:

If 6x=48, the answer for x is 8. And from there, I did 7(8). And then 53-56 and got -3.

Answer:

Step-by-step explanation:

Here we are multiplying together two complex numbers which happen to be identical:  both are 5 - 7i).

This is also "the square of 5 - 7i:  (5 - 7I)^2

In both cases, the result is 25 - 35i - 35i - 49, or 74 - 70i

Answer:

10x+10 = 110

Step-by-step explanation:

The two angles are vertical angles and vertical angles are equal

10x+10 = 110

Answer:

hgvjkhy88ubuybyi

Step-by-step explanation:

hjuoihgvgbhko

Answer:

$3.48 for each pair of socks.

Step-by-step explanation:

It's a little confusing, because it says they're buying 2 socks, but then asks for the price of each of 2 *pairs* of socks. I'm going to believe the first sentence should say they paid for 2 pairs of socks.

They have $10, and get $3.04 in change. So we'll subtract $3.04 from $10 to find out the cost of 2 pairs of socks.

10 - 3.04 = 6.96

Then divide $6.96 by 2 pairs of socks

6.96/2 = $3.48 for each pair of socks.

Answer:

a) 0.035 = 3.5% probability that a customer is a good risk and has filed a claim.

b) 0.0395 = 3.95% probability that the customer has filed a claim.

c) 0.8861 = 88.61% probability that the customer is a good risk

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a) What is the probability that the customer is a good risk and has filed a claim?

70% are good risks.

Of those, 0.5% file a claim. So

[tex]0.7*0.05 = 0.035[/tex]

0.035 = 3.5% probability that a customer is a good risk and has filed a claim.

b) What is the probability that the customer has filed a claim?

0.5% of 70%(good risks)

1% of 20%(medium risks)

2.5% of 10%(poor risks). So

[tex]0.05*0.7 + 0.01*0.2 + 0.025*0.1 = 0.0395[/tex]

0.0395 = 3.95% probability that the customer has filed a claim.

c) Given that the customer has filed a claim, what is the probability that the customer is a good risk?

0.0395 = 3.95% probability that the customer has filed a claim means that [tex]P(A) = 0.0395[/tex]

0.035 = 3.5% probability that a customer is a good risk and has filed a claim means that [tex]P(A \cap B) = 0.035[/tex]

Thus

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.035}{0.0395} = 0.8861[/tex]

0.8861 = 88.61% probability that the customer is a good risk

Answer:

sr for messy handwriting

Answer:

20 % is 45 so keep this much remaining

Step-by-step explanation:

Answer:

You can spend 80%. Multiple 225 × 0

80. 225×0.80 = 180. Now you will have $180

Step-by-step explanation:

Have a great day and summer.

Answer:

h = 12 ft

Step-by-step explanation:

Area of a rectangle formula:

A = bh

Given:

A = 24b

b = 2b

Work:

A = bh

24b = 2b(h)

h = (24b)/(2b)

h = 12

Answer:

288 donuts

Step-by-step explanation:

Answer:

288 donuts

Step-by-step explanation:

72 divided by 2 is 36 so that means you will make 36 donuts in 1 hour so now we have our unit rate which is 36. so then you multiply 36 by 8 and you get 288. that is your answer

The following is the plot of the normal percent point function. where \phi is the cumulative distribution function of the standard normal distribution and Φ is the probability density function of the standard normal distribution.

Answer:

The midpoint: (8,9.5)

Step-by-step explanation:

((9+7)/2,(11+8)/2))

Answer: Rs 7600

Step-by-step explanation:

The interest will be calculated as:

= Principal × Rate × Time

= 40000 × 5% × 4

= 40000 × 0.05 × 4

= 8000

Since he has to pay 5% of the total interest as tax for the bank, the amount that he will he get after 4 years will be:

= 8000 - (5% × 8000)

= 8000 - (0.05 × 8000)

= 8000 - 400

= 7600

Therefore, he'll get Rs 7600

Answer:

D. -35,-23,-12,58

Step-by-step explanation:

Image a line that goes to the negative, as well as the positives, -35 would be lower on that line

-35          -23       -12        0       12      23          35           58

--------------------------------------------------------------------------------------

Answer:

$1000

Step-by-step explanation:

$200 was saved on a new laptop

This was 20% of the original price of the laptop

Therefote the original cost of the laptop can be calculated as follows

= 20/100x = 200

= 0.2x= 200

Divide both sides by the coefficient of x which is 0.2

x= 200/0.2

= 1000

Hence the original cost of the laptop is $1000

[tex]\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

The chords subtended by equal arcs are equal.

Therefore,

Hence, value of x = 7

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]