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3 years ago

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5th grade math. correct answer will be marked brainliest

1 answer:

Sergio039 [100]3 years ago

7 0

First blank is foreign then the is add then the next one is 28

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I have a spinner that is divided into 4 equal sections colored red, blue ,green, and yellow . If I spin the spinner twice ,What

Vladimir [108]

Answer:

1/16

Step-by-step explanation:

(1/4) (1/4)

7 0

3 years ago

A particular concentration of a chemical found in polluted water has been found to be lethal to 40% of the crayfish that are exp

Jet001 [13]

Answer:

a) $P(X=13)=(24C13)(0.4)^{13} (1-0.4)^{24-13}=0.0608$

$P(X=17)=(24C17)(0.4)^{17} (1-0.4)^{24-17}=0.0017$

$P(X=13 U X=17) = 0.0608+0.0017=0.0624$

b) $P(X \geq 17)=0.000427$

c) $P(X \geq 16)= 1-0.000427=0.9996$

d) $E(X)= np = 22*0.4=8.8$

e) $Var(X) = np(1-p)= 22*0.4*(1-0,4)=5.28$

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=24, p=0.4)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

3) Part a

$P(X=13)=(22C13)(0.4)^{13} (1-0.4)^{22-13}=0.0336$

$P(X=17)=(22C17)(0.4)^{17} (1-0.4)^{22-17}=0.00035$

$P(X=13 U X=17) = 0.0336+0.00035=0.0340$

4) Part b

$P(X \geq 17)=P(X=17)+P(X=18)+P(X=19)+P(X=20)+P(X=21)+P(X=22)$

$P(X=17)=(22C17)(0.4)^{17} (1-0.4)^{22-17}=0.00035$

$P(X=18)=(22C18)(0.4)^{18} (1-0.4)^{22-18}=0.0000651$

$P(X=19)=(22C19)(0.4)^{19} (1-0.4)^{22-19}=0.00000914$

$P(X=20)=(22C20)(0.4)^{20} (1-0.4)^{22-20}=0.000000914$

$P(X=21)=(22C21)(0.4)^{21} (1-0.4)^{22-21}=5.81x10^{-8}$

$P(X=22)=(22C22)(0.4)^{22} (1-0.4)^{22-22}=1.76x10^{-9}$

$P(X \geq 17)=0.000427$

5) Part c

$P(X \leq 16)=1-P(X>16)=1-P(X\geq 17) = 1-[P(X=17)+P(X=18)+P(X=19)+P(X=20)+P(X=21)+P(X=22)]$

$P(X \geq 16)= 1-0.000427=0.9996$

6) Part d

The expected value is:

$E(X)= np = 22*0.4=8.8$

7) Part e

The variance is given by:

$Var(X) = np(1-p)= 22*0.4*(1-0,4)=5.28$

3 0

3 years ago

Emily and Andy each go to a hardware store to buy wire.The table shows the relationship between the cost and the length of wire.

Lady_Fox [76]

Answer:

So, Emily will spend, 11.52 unit on wire

and, Andy will spend 18.72 unit on wire.

Step-by-step explanation:

Cost of wire is = $\frac {4.80}{120}$

= $\frac {5.40}{135}$

= $\frac {6.00}{150}$

= $\frac {7.00}{175}$

= 0.04 unit/inch

We know that,

12 inch = 1 foot and

1 yard = 3 foot [Note that unit of a quantity always denoted singular].

So, Emily will spend,

$24 \times 12 \times 0.04$ unit

= 11.52 unit on wire

and, Andy will spend,

$13 \times 3 \times 12 \times 0.04$ unit

= 18.72 unit on wire.

5 0

4 years ago

Simon leaves home at 10:30am. He has return home before 6:15pm. He has to travel to work, which takes 45 minutes; he is working

lakkis [162]

Answer:

2 hours and 18 minutes

Step-by-step explanation:

4 0

3 years ago

What is the square root of 3(125/5-8)

Lady_Fox [76]

square root(3) * ((125 / 5) - 8) =

29.44

that's the final answer.

if possible please give me a brainliest. tnx good day

4 0

3 years ago

Read 2 more answers