Is 2 tons and 500 pounds equivalent to 2 1/4 tons?

Answer:

6xy^2+10y^2z is the answer

Answer:

False, it is easier to isolate x.

Step-by-step explanation:

6y+x=3

x=3-6y

Answer:

C = 10.05

Step-by-step explanation:

Formula: C = 2[tex]\pi[/tex]r

circumference = ?

Solution:

C = 2[tex]\pi[/tex](1.6 m) (multiply)

C = 3.2[tex]\pi[/tex]m

C = 3.2(3.14) m (multiply)

C = 10.048

Rounded off (If needed): 10.05

Answer: 6811

Step-by-step explanation:

in this problem the values are 8800 and -2900 and the respective probabilities are 0.83 and 0.17

--

so the expected profit o# sum = (x*P(x))=8800*(0.83)+(-2900)*(0.17)=6811

Answer: no, no, no, yes

Step-by-step explanation:

x=-3 is a vertical line. It goes straight up and down at x=-3. In order for the points to be on this line, the x-axis has to be -3. Looking at all the choices, all points are not a solution with the exception of (-3,0) which is right on the line.

Answer:

no no no yes

Step-by-step explanation:

i think

Answer:

y = 5x

Step-by-step explanation:

First, find the slope of the first equation by doing rise/run

This gets you -10/-2 or 5

A parallel line will have the same slope. Since it goes through the origin, the y-intercept and b value will be zero

The equation will be y = 5x

Answer:

See Attachment

Step-by-step explanation:

I have attached the geometric diagram of the scenario below.

parallel lines = lines t and u, transversal line = line v, the angles which t makes with v are 1 and a, the angles which u makes with v are b and 2.

Answer:

50% Chance

Step-by-step explanation:

So Pr(0.3, 0.5, and 0.7) = (30% + 50% + 70%) / 300

= 1/2

The question is incomplete. The complete question is as follows.

The city of Oakdale wishes to see if there is a linear relantionship between the temperature and the amount of electricity used (in kilowatts). Using the estimated regression equation found by using Temperature as the predictor variable, find a pont estimate Kilowatt usage when the Temperature is 90 degrees outside?

Temperature(x)                       Kilowatts(y)

        73                                         680

        78                                         760

        85                                         910

        98                                         1510

        93                                         1170

        83                                         888

        92                                         923

        81                                          837

        76                                         600

       105                                        1800

Answer: The point estimate is 1132.5 Kilowatts

Step-by-step explanation: Regression analysis is used to find an equation that fits the data. Once this equation is found, it's used to make predictions. One of the regressions is linear regression.

To find the linear regression model:

1) Create a table with the following: ∑y; ∑x; ∑xy; ∑x²; ∑y²;

2) Use these equations to find coefficients a and b:

a = (∑y)(∑x²) - (∑x)(∑yx) / n(∑x²) - (∑x)²

b = n(∑xy) - (∑x)(∑y) / n(∑x²) - (∑x)²

3) Substitute the coefficients into the equation of form: y = a + bx

For the table above, the linear regression equation is:

y = - 2004 + 34.85x

When Temperature is 90, i.e. x = 90:

y = - 2004 + 34.85*90

y = 1132.5

The estimate Kilowatt is 1132.5.

Answer:

  3

Step-by-step explanation:

Those wearing a shirt of another color are ...

  1 - 5/8 -1/4 = 8/8 -5/8 -2/8 = 1/8

of the total number of students in the classroom

  (1/8)×(24 students) = 3 students . . . . wearing another color

_____

Alternate solution

With the given information, you know ...

  (5/8)(24) = 15 . . . students wear blue

  (1/4)(24) = 6 . . . . students wear white

  24 -15 -6 = 3 . . . students wear another color

Answer:

Not a random variable

Step-by-step explanation:

The last book a person read in City A is not a random variable because it is not a number as there is no numerical description for the outcome of this experiment.

Thus, the last book read by someone in City A is not a random variable.

Answer:

not random

Step-by-step explanation:

Answer:

The number which is exactly in between 1/3 and 7/8 will be their average. The average = (1/3 + 7/8) / 2 = (8/24 + 21/24) / 2 = (29/24) / 2 = 29/48.

Answer:

A. Negative 32  dollars

Step-by-step explanation:

Kendra has a debt. Doubt means that the balance is Negative.

If the debt is greater than 25 USD . Kendra's debt has to be more negative than 25 . Amoung all other numbers only debt  32 is more negative than 25.

Answer:

I think it would be 32

Step-by-step explanation:

So she can pay the debt off

Answer:

1/3

Step-by-step explanation:

hello,

probability of 1 = 1/6

probability of 2 = 1/6

probability of 1 or 2 = 1/6+1/6 as probability of 1 and 2 = 0

so the answer is 2/6=1/3

Answer:

Step-by-step explanation:

x + y = 15

11x + 9y = 156

Answer:

a) 6.68% of heights less than 150 centimeters

b) 58.65% of heights between 160 centimeters and 180 centimeters

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 162, \sigma = 8[/tex]

a) The percentage of heights less than 150 centimeters

We have to find the pvalue of Z when X = 150. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{150 - 162}{8}[/tex]

[tex]Z = -1.5[/tex]

[tex]Z = -1.5[/tex] has a pvalue of 0.0668

6.68% of heights less than 150 centimeters

b) The percentage of heights between 160 centimeters and 180 centimeters

We have to find the pvalue of Z when X = 180 subtracted by the pvalue of Z when X = 160.

X = 180

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{180 - 162}{8}[/tex]

[tex]Z = 2.25[/tex]

[tex]Z = 2.25[/tex] has a pvalue of 0.9878

X = 160

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{160 - 162}{8}[/tex]

[tex]Z = -0.25[/tex]

[tex]Z = -0.25[/tex] has a pvalue of 0.4013

0.9878 - 0.4013 = 0.5865

58.65% of heights between 160 centimeters and 180 centimeters

Answer:

Step-by-step explanation:

The computer hardware company requires all of the chips purchased from its supplier of computer chips to meet the specification of 1.2 centimeters, with error margins of -0.1cm and +0.1cm

This means that the required length of computer chips is between 1.1cm - 1.3cm

Where 1.1cm = [1.2 - 0.1]

1.3cm = [1.2 + 0.1]

Based on the computer chips supplied last month, mean length was 0.9cm. This means that most of the chips were (in length) less than the lower boundary of 1.1cm.

The element that the production manager should consider in determining his company's ability to produce chips that meet specification is:

- The length of the chips.

The length of the chips his production team produces should be tailored to meet the length specification of his client.

Answer: 15

Step-by-step explanation:

to find the area multiply the length by height

in this case it’s 5ft and 3ft

5 • 3 = 15

A=15

Answer:

For x

We use cosine

cos 45° = 2/x

After solving

x = 2√2

Since we have the value of x we use it to get the value of y

we use cosine

cos 60° = 2√2/y

y =2√2/cos 60

y = 4√2

We use Pythagoras theorem to find z

(4√2)² = (2√2)² + z²

z² = 32 - 8

z² = 24

z = √24

z = 2√6

Therefore x = 2√2

y = 4√2

z = 2√6

Hope this helps.

Answer:

''0 is neither a rational number nor an irrational number.''

Step-by-step explanation:

Zero is a rational number. Zero can be written as a fraction, where p/q = 0, where p = 0 and q is any non-zero integer. Hence, 0 is a rational number.

Answer:

[tex]j^4k[/tex]

Step-by-step explanation:

[tex]3j^4k-2jk^3+jk^3-2j^4k+jk^2\\2j^4k-2j^4k-2jk^3+jk^3+jk^3\\j^4k[/tex]

Answer:

4

Step-by-step explanation:

give me brainliest

Answer:

[tex]12[/tex]

Step-by-step explanation:

[tex]\frac{60}{4+1}[/tex]

[tex]\frac{60}{5} =12[/tex]

[tex]4:1[/tex]

[tex]4 \times 12: 1 \times 12[/tex]

[tex]48:12[/tex]

Answer:

Number of orders seen on last Tuesday = 605

Step-by-step explanation:

Number of orders seen on Tuesday = 600

It is given that it is 0.85% less than last Tuesday.

Let number of sales on last Tuesday = [tex]x[/tex]

As per question statement:

Number of order on last Tuesday - 0.85% of Number of order on last Tuesday = 600

OR

i.e. if we subtract 0.85% of x from x, it must be equal to 600.

[tex]x-\dfrac{0.85}{100}x =600\\\Rightarrow x-\dfrac{0.85}{100}x =600\\\Rightarrow \dfrac{100-0.85}{100}x =600\\\Rightarrow \dfrac{99.15}{100} \times x =600\\\Rightarrow x =\dfrac{600\times 100}{99.15}\\\Rightarrow x =\dfrac{60000}{99.15}\\\Rightarrow x \approx 605[/tex]

So, there were about 605 order seen last Tuesday.

Answer:

The room dimensions for a minimum cost are: sides of 10 feet and height of 8.75 feet.

Step-by-step explanation:

We have a rectangular room with sides x and height y.

The volume of the room is 875 cubic feet, and can be expressed as:

[tex]V=x^2y=875[/tex]

With this equation we can define y in function of x as:

[tex]x^2y=875\\\\y=\dfrac{875}{x^2}[/tex]

The cost of wall paint is $0.08 per square foot. We have 4 walls which have an area Aw:

[tex]A_w=xy=x\cdot \dfrac{875}{x^2}=\dfrac{875}{x}[/tex]

The cost of ceiling paint is $0.14 per square foot. We have only one ceiling with an area:

[tex]A_c=x^2[/tex]

We can express the total cost of painting as:

[tex]C=0.08\cdot (4\cdot A_w)+0.14\cdot A_c\\\\C=0.08\cdot (4\cdot \dfrac{875}{x})+0.14\cdot x^2\\\\\\C=\dfrac{280}{x}+0.14x^2[/tex]

To calculate the minimum cost, we derive this function C and equal to zero:

[tex]\dfrac{dC}{dx}=280(-1)\dfrac{1}{x^2}+0.14(2x)=0\\\\\\-\dfrac{280}{x^2}+0.28x=0\\\\\\0.28x=\dfrac{280}{x^2}\\\\\\x^3=\dfrac{280}{0.28}=1000\\\\\\x=\sqrt[3]{1000} =10[/tex]

The sides of the room have to be x=10 feet.

The height can be calculated as:

[tex]y=875/x^2=875/(10^2)=875/100=8.75[/tex]

The room will have sides of 10 feet and a height of 8.75 feet.

Answer:

4.92% probability that the third strike comes on the seventh well drilled

Step-by-step explanation:

For each drill, there are only two possible outcomes. Either it is a strike, or it is not. Each drill is independent of other drills. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

20% chance of striking oil.

This means that [tex]p = 0.2[/tex]

What is that probability that the third strike comes on the seventh well drilled

2 stikers during the first 6 drills(P(X = 2) when n = 6)[/tex]

Strike during the 7th drill, with 0.2 probability. So

[tex]P = 0.2P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 2) = C_{6,2}.(0.2)^{2}.(0.8)^{4} = 0.2458[/tex]

Then

[tex]P = 0.2P(X = 2) = 0.2*0.2458 = 0.0492[/tex]

4.92% probability that the third strike comes on the seventh well drilled

Answer:

2/5

Step-by-step explanation:

2 red, 3 yellow, 4 green, 6 blue marbles. = 15 marbles

P( blue) = blue / total

             =6/15

             =2/5

Step-by-step explanation:

sin²α − sin⁴α

Factor out sin²α.

sin²α (1 − sin²α)

Use Pythagorean theorem.

(1 − cos²α) cos²α

Distribute.

cos²α − cos⁴α

The denominator contains negative exponents. Using the negative exponent rule, multiply the denominator by -1 and then reverse the fraction and multiply.

The denominator becomes x^3y^4

The problem then becomes -3x^6y^4 times x^3y^2

When multiplying exponents add them together:

The final answer is -3x^9y^6

Answer:

3

Step-by-step explanation:

3^3 = 27