6 hundred thousands + 38 hundreds

Dalia bought a few swirl marbles and divided it equally among four of her friends and her brother,Jake. While playing,Jake lost

Veronika [31]

Answer:

45 marbles

Step-by-step explanation:

Using the information provided, we can form the equation x/5 - 2 = 7

Step 1: Add two on both sides of the equation x/5 - 2 = 7

Step 2: Multiply both sides of the equation by 5, to cancel out x. x/5=9

Step 3: Lastly, you get that x=45 marbles

5 0

3 years ago

Police records in the town of Saratoga show that 17 percent of the drivers stopped for speeding have invalid licenses. If 24 dri

Ymorist [56]

Answer:

Step-by-step explanation:

Given

17 % of the drivers stopped have invalid licenses

n=24 drivers are stopped

using Binomial distribution

$^nC_r(p)^r(q)^{n-r}$

here p=0.17

q=1-0.17=0.83

(a)none will have valid license i.e. r=0

$P(r=0)^{24}C_0(0.17)^0(0.83)^{24}=(0.83)^{24}=0.0114$

(b)Exactly one have invalid license i.e. r=1

$P(r=1)=^{24}C_1(0.17)^1(0.83)^{23}=24\times 0.17\times (0.83)^{23}$

$=0.0561$

(c)At least 2 will have invalid license i.e. $r\geq 2$

$P(r\geq 2)=1-P(r=0)-P(r=1)$

$P(r\geq 2)=1-0.0114-0.0561$

$P(r\geq 2)=0.932$

3 0

3 years ago

Suppose a manager plans to sample 10 items from a population of 100 items and would like to determine the probability of observi

aev [14]

Answer:

a) We conclude that the menager use the hypergeometric distribution.

b) We conclude that the menager use the binomial distribution.

Step-by-step explanation:

a) We know that in probability theory, the hypergeometric distribution is a discrete probability distribution that describes the probability of k successes in n draws, without replacement.

We conclude that the menager use the hypergeometric distribution.

b) We know that the binomial distribution describes the probability of k successes in n draws with replacement.

We conclude that the menager use the binomial distribution.

4 0

3 years ago

There will be 10 pounds of flour put evenly into 7 sacks. How many pounds of flour will be in each sack?

mel-nik [20]

Answer:

1.429 lbs per sack

Step-by-step explanation:

Given that 10 lbs of flour needs to be divided evenly into 7 sacks

amount of flour in each sack,

= 10 lbs ÷ 7 sacks

= 10/7 lbs per sack

= 1.429 lbs per sack

5 0

3 years ago

2. The Welcher Adult Intelligence Test Scale is composed of a number of subtests. On one subtest, the raw scores have a mean of

IgorC [24]

Answer:

a) 37.31 b) 42.70 c) 0.57 d) 0.09

Step-by-step explaanation:

We are regarding a normal distribution with a mean of 35 and a standard deviation of 6, i.e., $\mu$ = 35 and $\sigma$ = 6. We know that the probability density function for a normal distribution with a mean of $\mu$ and a standard deviation of $\sigma$ is given by

$f(x) = \frac{1}{\sqrt{2\pi}\sigma}\exp[-\frac{(x-\mu)^{2}}{2\sigma^{2}}]$

in this case we have

$f(x) = \frac{1}{\sqrt{2\pi}6}\exp[-\frac{(x-35)^{2}}{2(6^{2})}]$

Let $X$ be the random variable that represents a row score, we find the values we are seeking in the following way

a) we are looking for a number $x_{0}$ such that

$P(X\leq x_{0})$ = $\int\limits^{x_{0}}_{-\infty} {f(x)} \, dx = 0.65$ , this number is $x_{0}$ =37.31

you can find this answer using the R statistical programming languange and the instruction qnorm(0.65, mean = 35, sd = 6)

b) we are looking for a number $x_{1}$ such that

$P(X\leq x_{1})$ = $\int\limits^{x_{1}}_{-\infty} {f(x)} \, dx = 0.9$ , this number is $x_{1}$ =42.70

you can find this answer using the R statistical programming languange and the instruction qnorm(0.9, mean = 35, sd = 6)

c) we find this probability as

$P(28\leq X\leq 38)$ = $\int\limits^{38}_{28} {f(x)} \, dx = 0.57$

you can find this answer using the R statistical programming languange and the instruction pnorm(38, mean = 35, sd = 6) -pnorm(28, mean = 35, sd = 6)

d) we find this probability as

$P(41\leq X\leq 44)$ = $\int\limits^{44}_{41} {f(x)} \, dx = 0.09$

you can find this answer using the R statistical programming languange and the instruction pnorm(44, mean = 35, sd = 6) -pnorm(41, mean = 35, sd = 6)

6 0

3 years ago

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