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3 years ago

At what position on the number line is the red dot located?

Mathematics

1 answer:

Setler [38]3 years ago

4 0

Answer:

D. Square root of 18

Step-by-step explanation:

The square root of 10 is 3.16.

The square root of 12 is 3.46.

The square root of 24 is 4.90.

The square root of 18 is 4.24.

The red dot is on 4.25 so your answer is the square root of 18.

Will you please mark me brainliest?

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En un hospital el 30 % de los pacientes que acuden de manera diaria presentan problemas cardíacos. Si un día acuden al hospital

juin [17]

Answer:

21 pacientes tienen problemas cardíacos de los 70 pacientes diagnosticados

Step-by-step explanation:

Paciente con problema cardíaco del total de pacientes diagnosticados = 30%

Total de pacientes que van al hospital en un día = 70

El total de pacientes con problemas cardíacos entre los 70 pacientes diagnosticados es

30% de 70 = 30/100 * 70 = 21

6 0

3 years ago

Who was the first Democratic elected president of Nigeria

likoan [24]

Answer:

Alhaji Shehu Shagari

Step-by-step explanation:

Alhaji Shehu Shagari the first Democratic elected president of Nigeria, He was elected in October 1979. He contested under the The National Party of Nigeria. Prior to that time, Nigeria had been under military rule for more than 13 years.

In December 1983, there was a military coup and he was overthrown.

4 0

3 years ago

Due to a manufacturing error, two cans of regular soda were accidentally filled with diet soda and placed into a 18-pack. Suppos

crimeas [40]

Answer:

a) There is a 1.21% probability that both contain diet soda.

b) There is a 79.21% probability that both contain diet soda.

c) $P(X = 2)$ is unusual, $P(X = 0)$ is not unusual

d) There is a 19.58% probability that exactly one is diet and exactly one is regular.

Step-by-step explanation:

There are only two possible outcomes. Either the can has diet soda, or it hasn't. So we use the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

A number of sucesses $x$ is considered unusually low if $P(X \leq x) \leq 0.05$ and unusually high if $P(X \geq x) \geq 0.05$

In this problem, we have that:

Two cans are randomly chosen, so $n = 2$

Two out of 18 cans are filled with diet coke, so $\pi = \frac{2}{18} = 0.11$

a) Determine the probability that both contain diet soda. P(both diet soda)

That is P(X = 2).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 2) = C_{2,2}(0.11)^{2}(0.89)^{0} = 0.0121$

There is a 1.21% probability that both contain diet soda.

b)Determine the probability that both contain regular soda. P(both regular)

That is P(X = 0).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{2,0}(0.11)^{0}(0.89)^{2} = 0.7921$

There is a 79.21% probability that both contain diet soda.

c) Would this be unusual?

We have that $P(X = 2)$ is unusual, since $P(X \geq 2) = P(X = 2) = 0.0121 \leq 0.05$

For P(X = 0), it is not unusually high nor unusually low.

d) Determine the probability that exactly one is diet and exactly one is regular. P(one diet and one regular)

That is P(X = 1).

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 1) = C_{2,1}(0.11)^{1}(0.89)^{1} = 0.1958$

There is a 19.58% probability that exactly one is diet and exactly one is regular.

8 0

3 years ago

A certain manufacturing company has the following data on quantities shipped and unit costs for each of its four products.

AnnyKZ [126]

Answer:

Paasche's Index= 168.63= 169

Step-by-step explanation:

Products

Base-Period Current Period

Quantities Mean Shipping Quantities Mean Shipping

(Year 1) Cost per Unit ($) (Year 5) Cost per Unit ($)

A 1,500 10.50 4000 15.90

B 5,000 16.25 3000 33.00

C 6,500 12.20 8000 18.40

D 2,500 20.00 3000 35.50

Paasche's Index= ∑ pn.qn/∑po.qn* 100

Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.

Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.

Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.

Product pn.qn po.qn

A 15.90* 4000 10.50* 4000

= 63600 =42000

B 33.00*3000 16.25 * 3000

= 99000 = 48750

C 18.40* 8000 12.20 *8000

=147200 =97600

D 35.50* 3000 20.00*3000

=106500 60,000 

∑ 416300 248350

Paasche's Index= ∑ pn.qn/∑po.qn= 416300/ 248350 *100 = 1.676=1.68= 168.63= 169

7 0

3 years ago

University officials say that at least 70% of the voting student population supports a fee increase. If the 95% confidence inter

baherus [9]

Answer:

The interval estimate is above 70%, so infer that it will be supported.

Step-by-step explanation:

The evidence that 95% confidence interval estimating the proportion of students supporting the fee increase is [0.75, 0.85] supports university officials' claim that at least 70% of the voting student population supports a fee increase.

Therefore we can infer that a fee increase will be supported.

4 0

3 years ago