1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ICE Princess25 [194]
3 years ago
13

Write an expression to represent: The sum of ten and the quotient of a number x and 6

Mathematics
1 answer:
Alex787 [66]3 years ago
8 0

Answer:

10 + x/6

Step-by-step explanation:

With problems like these, you always want to break them down into phrases.

The sum of ten and the quotient of a number x and 6.

"The sum of ten" ... If you want to translate this into mathematical symbols, how would you do it? Well, if it's a sum, we know we're adding. So it's 10 plus something. So far we have:

10 +

Next: "the quotient of a number x and 6." ... How do you put this one into mathematical terms/symbols? A quotient means division. If you want the quotient of a number and six, it would be x/6. So now we have:

10 + x/6

You might be interested in
7. Rose can type 70 words per minute (wpm). At this rate, how many words can she type in 30 minutes? a. 3100 wpm b. 40 wpm c. 21
Irina-Kira [14]

Answer:

a. 3100 wpm

1 \: minute = 70 \: words \\ 30 \: minutes  = (30 \times 70) \: words \\  = 2100 \: words

3 0
3 years ago
In a sample of 42 burritos, we found a sample mean 1.4 lb and assumed that sigma equals.5. In a test of the hypothesis H subscri
Sergio [31]

Answer:

D. 0.9953 (Probability of a Type II error), 0.0047 (Power of the test)

Step-by-step explanation:

Let's first remember that a Type II error is to NOT reject H0 when it is false, and the probability of that occurring is known as β. On the other hand, power refers to the probability of rejecting H0 when it is false, so it can be calculated as 1 - β.

To resolve this we are going to use the Z-statistic:

                                           Z = (X¯ - μ0) / (σ/√n)

where  μ0 = 1.2

            σ = 5

            n = 42

As we can see in part A of the attached image, we have the normal distribution curve representation for this test, and because this is a two-tailed test, we split the significance level of α=0.01 evenly into the two tails, 0.005 in each tail, and if we look for the Z critical value for those values in a standard distribution Z table we will find that that value is 2.576.

Now we need to stablish the equation that will telll us for what values of X¯ will we reject H0.

Reject if:

Z ≤ -2.576                                                          Z ≥ 2.576

We know the equation for the Z-statistic, so we can substitute like follows and resolve.

Reject if:

(X¯ - 1.2) / (5/√42) ≤ -2.576                          (X¯ - 1.2) / (5/√42) ≥ 2.576

X¯ ≤ -0.79                                                         X¯ ≥ 3.19

We have the information that the true population mean is 1.25, so we now for a fact that H0 is false, so with this we can calculate the probability of a Type II error:  P(Do not reject H0 | μ=1.25)

As we can see in part B of the attached image, we can stablish that the type II error will represent the probability of the sample mean (X¯) falling between -0.79 and 3.19 when μ=1.25, and that represents the shaded area. So now we now that we are looking for P(-0.79 < X¯ < 3.19 | μ=1.25).

Because we know the equation of Z, we are going to standardize this as follows:

P ( (-0.79 - 1.25) / (5/√42) < Z <  (3.19 - 1.25) / (5/√42) )

This equals to:

P(-2.64 < Z < 2.51)

If we go and look for the area under the curve for Z positive scores in a normal standart table (part C of attached image), we will find that that area is 0.9940, which represents the probability of a Type II error.

Therefore, the power of the test will be 1-0.9940 = 0.006

If we look at the options of answers we have, there is no option that looks like this results, which means there was a probable redaction error, so we are going to stay with the closest option to these values which is option D.

3 0
3 years ago
A bottler of drinking water fills plastic bottles with a mean volume of 1,000 milliliters (mL) and standard deviation The fill v
trapecia [35]

Answer:

84.13% of bottles will have volume greater than 994 mL

Step-by-step explanation:

Mean volume = u = 1000

Standard deviation = \sigma = 6

We need to find the proportion of bottles with volume greater than 994. So our test value is 994. i.e.

x = 994

Since the data is normally distributed we will use the concept of z-score to find the required proportion. First we convert 994 to its equivalent z-score, then using the z-table we will find the corresponding value of proportion. The formula to calculate the z score is:

z=\frac{x-u}{\sigma}

Substituting the values, we get:

z=\frac{994-1000}{6}=-1

This means 994 is equivalent to a z score of -1. Now we will find the proportion of z values which are greater than -1 from the z table.

i.e. P(z > -1)

From the z-table this value comes out to be:

P(z >- 1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413

Since, 994 is equivalent to a z score of -1, we can write that proportion of values which will be greater than 994 would be:

P( X > 994 ) = P( z > -1 ) = 0.8413 = 84.13%

4 0
3 years ago
What is 1+1+1+1+47+90​
liraira [26]

Answer:

141

Step-by-step explanation:

141

4 0
3 years ago
Read 2 more answers
Luke is building a storage building and needs to have a slab of concrete poured. He knows the contractor charges an initial cost
kherson [118]
The answer is A.

 y is the total cost, than you would need to multiply x, the number additional number of square feet, which is 3.5x. you would then add 95 dollars to the equation to represent the initial fee. So the equation would look like Y=3.5x+95.

- beanz

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the value of x in the expression
    13·1 answer
  • 12 equals x times the square root of 2
    10·1 answer
  • Write an equivalent expression for 7x + 4x + 3 -1
    10·2 answers
  • PLS HELP, 50 POINTS!!!
    6·2 answers
  • Which line is a graph of the equation 2x + 5y = 10?
    11·1 answer
  • What’s the answer of 4(x+2)
    10·2 answers
  • PLZZ SOMEONE HELP I HAVE FIVE MORE MINUTES LEFT ON MY TEST TO ANSWER THIS ONE QUESTION
    15·1 answer
  • The lines represented by the equations 25y- 20x=100 and 5y - 4x = 20 are
    7·1 answer
  • In the figure, a square is inside another bigger square.
    5·2 answers
  • I need help..........................................
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!