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3 years ago

11

Analyn is heating a solution in her chemistry lab.The temperature of the solution starts at 10 C. she turns on the burner and fi

nds that the solutions temperature increases by 4 C every minute. This graph shows the temperature change.

2 answers:

natita [175]3 years ago

5 0

Answer:

It's D

Step-by-step explanation:

Savatey [412]3 years ago

4 0

Answer:

22,3 is the answer to the question

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What is the domain of the function in this table

lina2011 [118]

For this case we have that by definition, the domain of a function is given by the set of all the possible input values of the function. That is, the values that the variable "x" takes.

Also, it can be said that it is the set of all the values for which the function is defined.

The table shows that "x" takes the following values:

{3,4,5,6}

Answer:

Domain: {3,4,5,6}

Option C

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3 years ago

) Determine the probability that a bit string of length 10 contains exactly 4 or 5 ones.

yanalaym [24]

Answer: 0.4512

Step-by-step explanation:

A bit string is sequence of bits (it only contains 0 and 1).

We assume that the 0 and 1 area equally likely to any place.

i.e. P(0)= P(1)= $\dfrac{1}{2}$

The length of bits : n = 10

Let X = Number of getting ones.

Then , $X \sim Bin(n=10,\ p=\dfrac{1}{2})$

Binomial distribution formula : $P(X=x)=^nC_x p^x q^{n-x}$ , where p= probability of getting success in each event and q= probability of getting failure in each event.

Here , $p=q=\dfrac{1}{2}$

Then ,The probability that a bit string of length 10 contains exactly 4 or 5 ones.

$P(X= 4\ or\ 5)=P(x=4)+P(x=5)\\\\=^{10}C_4(\dfrac{1}{2})^{10}+^{10}C_4(\dfrac{1}{2})^{10}$

$=\dfrac{10!}{4!6!}(\dfrac{1}{2})^{10}+\dfrac{10!}{5!5!}(\dfrac{1}{2})^{10}$

$=(\dfrac{1}{2})^{10}(\dfrac{10!}{4!6!}+\dfrac{10!}{5!5!})$

$=(\dfrac{1}{2})^{10}(210+252)$

$=(0.0009765625)(462)$

$=0.451171875\approx0.4512$

Hence, the probability that a bit string of length 10 contains exactly 4 or 5 ones is 0.4512.

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4 years ago

Find the perimeter of the equilateral triangle 3x² + 5x + 12

kherson [118]

Answer:

Perimeter is 9x² + 15x + 36

Step-by-step explanation:

${ \tt{perimeter = s \times s \times s}} \\ { \tt{p = 3s}}$

p is the perimeter
s is side

${ \tt{p = 3(3 {x}^{2} + 5x + 12) }} \\ { \boxed{ \tt{ \blue{p = 9 {x}^{2} + 15x + 36 \: }}}}$

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2 years ago

-6a + 2a= -36 pls help

miv72 [106K]

Answer:

a = 9

Step-by-step explanation:

-6a + 2a = -36

-4a = -36

a = -36/-4

a = 9

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3 years ago

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What is the GCF of 40 and 21

trasher [3.6K]

40 and 21 do not have common factors, except for one. So the answer is 1.

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3 years ago

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