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2 years ago

Noam solved the equation for k using the following calculations.

Mathematics

2 answers:

goldfiish [28.3K]2 years ago

6 0

Answer:

3) He made a computation error when he added 10.35+7.6

Step-by-step explanation:

Steps to add decimals:

1)Write down the numbers, one under the other, with the decimal points lined up

2) Put in zeros so the numbers have the same length

3) Then add using column addition, remembering to put the decimal point in the answer

Applying the above steps:

line the decimals up 10.35

7.6

Putting zero to get same length

10.35

7.60

Addition:

10.35

+7.60

......................

17.95

Now we can see that, there is error when he added 10.35 + 7.6

AysviL [449]2 years ago

5 0

Answer:

He made a computation error when he added 10.35+7.6

Step-by-step explanation:

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The admission at the movies is $5 for children and $10 for adults. The total amount collected was

sesenic [268]

Answer:

Number of children, x= 400

Number of adults, y = 100

Step-by-step explanation:

Let the number of children be x

Let the number of adults be y

Given : Total number of people, x + y = 500 --------(1)

Total amount collected, 5x + 10y = 3000 ---------(2)

(1) => y = 500 - x

Substitute y in (2) : 5x + 10(500 - x) = 3000

5x + 5000 - 10x = 3000

-5x = 3000 - 5000

-5x = -2000

x = 400

Substitute x in (1) : 400 + y = 500

y = 500 - 400

y = 100

4 0

2 years ago

US average math SAT scores follow a normal distribution with a mean of 505 and a standard deviation of 112. A sample of 64 enter

Hitman42 [59]

Answer:

The claim that the scores of UT students are less than the US average is wrong

Step-by-step explanation:

Given : Sample size = 64

Standard deviation = 112

Mean = 505

Average score = 477

To Find : Test the claim that the scores of UT students are less than the US average at the 0.05 level of significance.

Solution:

Sample size = 64

n > 30

So we will use z test

$H_0:\mu \geq 477\\H_a:\mu < 477$

Formula : $z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

$z=\frac{505-477}{\frac{112}{\sqrt{64}}}$

$z=2$

Refer the z table for p value

p value = 0.9772

α=0.05

p value > α

So, we accept the null hypothesis

Hence The claim that the scores of UT students are less than the US average is wrong

3 0

3 years ago

What is the total cost?

solong [7]

Answer:

$0.75

Step-by-step explanation:

if Felix wants 1/4 kilogram of marmalade and it cost $3 per kilogram, you divide 3/4= 0.75

6 0

3 years ago

Read 2 more answers

Consider he function f(x)=2x-4 a.find the inverse of (x) and name it g(x) . Show your work <br /><br /> B. Use funct

inna [77]

$A.\\f(x)=2x-4\to y=2x-4\\\\\text{change x to y and y to x}\\\\x=2y-4\\\\\text{solve for y}\\\\2y-4=x\qquad|+4\\\\2y=x+4\qquad|:2\\\\y=\dfrac{1}{2}x+2\\\\f^{-1}(x)=g(x)=\dfrac{1}{2}x+2\\B.\\\text{Verifying if two functions are inverses of each other is a simple two-step process.}\\1.\ \text{Plug}\ f(x)\ \text{into}\ g(x)\ \text{and simplify}\\2.\ \text{Plug}\ g(x)\ \text{into}\ f(x)\ \text{and simplify}\\\\If\ g[f(x)]=f[g(x)]=x,\ then\ functions\ are\ inverses\ of\ each\ other.$

$f(x)=2x-4,\ g(x)=\dfrac{1}{2}x+2\\\\g[f(x)]=\dfrac{1}{2}(2x-4)+2=\dfrac{1}{2}(2x)+\dfrac{1}{2}(-4)+2=x-2+2=x\\\\f[g(x)]=2\left(\dfrac{1}{2}x+2\right)-4=2\left(\dfrac{1}{2}x\right)+2(2)-4=x+4-4=x\\\\\text{Since the results above came out OK, both}\ x,\text{ then we can claim}\\\text{that functions f (x) and g (x) are inverses of each other.}$

6 0

3 years ago

Express the function g in the form f ∘ g. (there is more than one correct answer. the function is of the form y = f(g(x)). use n

bija089 [108]

Answer:

1/x+7

Step-by-step explanation:

5 0

3 years ago