In 2-4, write yes or no to indicate whether the expressions are equivalent. Grade 6 math, please help

Answer:

5

Step-by-step explanation:

Answer:

234 feet cubed

Step-by-step explanation:

6 1/2 * 8 = 52

52 * 4 1/2 = 234

Answer:

this shape is a pentagon. this is a regular shape because all the sides are even and all the angles on the inside are also even.

Step-by-step explanation:

pls mark brainliest!

Answer:

Step-by-step explanation:

lol no

The only option that is not a compound event is; (2) pulling a king out of a deck of cards

Compound probability is defined as a mathematical term that relates to the likeliness of two independent events occurring.

Thus, a simple event has only one outcome while  a compound event involves the probability of more than one outcome

1) For a coin to land on heads three consecutive times means that there can only be three possible independent outcome  and so this is a compound event.

2) Pulling a king out of a deck of cards is a simple event and not compound because it has only one outcome.

3) This is a compound event because we are dealing with two independent probabilities.

4) This is a compound event because we are dealing with two independent events which are true or false answers.

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Answer:

Step-by-step explanation:

Total after tax:

x(1+0.06)

x(1+0.06)

x(1.06)

x(1.06)

1.06x

1.06x

{Total after tip:}

Total after tip:

1.06x(1+0.22)

1.06x(1+0.22)

1.06x(1.22)

1.06x(1.22)

1.2932x

1.2932x

Answer:

97.95% of these nuts will meet the specification limits.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The offsetting machine used to make these nuts has been producing nuts with an average locking torque of 8.62 in-lb and variance of 4.49 squared in-lb.

This means that [tex]\mu = 8.62, \sigma = \sqrt{4.49}[/tex]

Torque is normally distributed. If the upper specification is 13.0 in-lb and the lower specification is 2.25 in-lb, what percent of these nuts will meet the specification limits?

The proportion is the p-value of Z when X = 13 subtracted by the p-value of Z when X = 2.25. So

X = 13

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

[tex]Z = \frac{13 - 8.62}{\sqrt{4.49}}[/tex]

[tex]Z = 2.07[/tex]

[tex]Z = 2.07[/tex] has a p-value of 0.9808.

X = 2.25

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

[tex]Z = \frac{2.25 - 8.62}{\sqrt{4.49}}[/tex]

[tex]Z = -3.01[/tex]

[tex]Z = -3.01[/tex] has a p-value of 0.0013.

0.9808 - 0.0013 = 0.9795

0.9795*100% = 97.95%

97.95% of these nuts will meet the specification limits.

Each of the questions should be correctly classified as statistical or not statistical as follows:

In Mathematics, a statistical question can be defined as a type of question in which the resulting answer is in the form of an average, percentage, or a range such as "How many TV shows did each student in my class watch yesterday?"

A non-statistical question simply refers to a question that is not non-statistical and it can be defined as a type of question which has an exact or fixed answer such as "How many students in my class can swim?"

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Answer:

x < 3

Step-by-step explanation:

3 + x-2/x-3 ≤ 4, x ≠ 3

3 + x-2/x-3 -4 ≤ 0

-1 + x-2/x-3 ≤ 0

-(x-3) + x-2/x-3 ≤ 0

1/x-3 ≤ 0

x-3 < 0

x < 3, x ≠ 3

x < 3

x<3 is the solution of the equation  3 + (x-2) / (x-3) ≤ 4.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given equation can be rewritten as 3 + (x-2) / (x-3) ≤ 4.

To solve for x, we need to multiply both sides by (x-3)

3(x-3) + (x-2) ≤ 4(x-3).
3 + x-2/x-3 -4 ≤ 0

Solve the above equation.

-1 + x-2/x-3 ≤ 0

-(x-3) + x-2/x-3 ≤ 0

1/x-3 ≤ 0

x-3 < 0

x < 3

Hence, x<3 is the solution of the equation  3 + (x-2) / (x-3) ≤ 4.

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Answer:

xxxtentacion=6&20

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The sum of any two intieior angles in a triangle equal to the opposite angle.

So 30 + 5X + 15 = 9X - 3

Solving for X

48 = 4X

X = 12

We are given:

Time period: 3 days and 18 hours

Energy consumed in given time period: 5400 watt-hours

Converting time to hours:

We know that one day is 24 hours

So, 3 days = 72 hours

Time period = 3 days + 18 hours

Time period = 72 hours + 18 hours      

Time period = 90 hours

Converting to days

Time period = 3.75 days

Watt-hour consumption in a day:

Consumption = 5400 watt-hours / 3.75 days

Consumption = 1440 watt-hours/day

Answer:

15

Step-by-step explanation:

Answer:

5.5; 11.00; 16.50

[tex]E = 5.5h[/tex]

Step-by-step explanation:

Given

The attached table

Solving (a): Complete the table

First, calculate the slope (m)

[tex]m = \frac{E_2 - E_1}{h_2 - h_1}[/tex]

So:

[tex]m = \frac{27.5- 22.00}{5-4}[/tex]

[tex]m = \frac{5.50}{1}[/tex]

[tex]m = 5.50[/tex]

So, the equation of the table is:

[tex]E = m(h - h_1) + E_1[/tex]

[tex]E = 5.5(h - 4) + 22[/tex]

[tex]E = 5.5h - 22 + 22[/tex]

[tex]E = 5.5h[/tex]

When h =1,2,3

[tex]E = 5.5 * 1 = 5.5[/tex]

[tex]E = 5.5 * 2 = 11.00[/tex]

[tex]E = 5.5 * 3 = 16,50[/tex]

Answer:

8 meters

step-by-step explanation:

8 is in between 9 and 7

Answer:

[tex] \frac{34.25}{6.5} [/tex]

Answer: We can set up a system of equations to represent this problem. The first equation represents the total value of the nickels and dimes in terms of the number of nickels and dimes that Nevaeh has:

0.05x + 0.1y = 0.80

The second equation represents the total number of nickels and dimes that Nevaeh has in terms of the number of nickels and dimes that she has:

x + y = 11

To graphically solve this system of equations, we can use the slope-intercept form of the linear equations.

y = -2x + 22

y = -1/2 x + 8

The solution would be the point where the lines intersect , which x = 4, and y = 7 .

So she has 4 nickels, and 7 dimes.

Step-by-step explanation:

For the given issue, x has a value of 4. The offered solution is the solution extraneous .

When we solve equations, we often obtain values that aren't actually the answer to the equation.

A root of a transformed equation that isn't a root of the previous iteration because it was left out of the original equation's domain is known as a extraneous solution.

√(11x + 5) = 7

(11x + 5) = 7²

11x + 5 = 49

11x = 49 - 5

11x = 44

x = 4

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Answer:

Probability = 1/5

Step-by-step explanation:

Total ways of arrangement for 10 students = 10 !

Ways to arrange 2 students consecutively & other 8 students =  9 ! x 2      

( As 9! to arrange 9 units, as 2 considered together ; &  2 for arranging 2 consecutive students - respectively )

So, Probability = Favourable outcomes / Total outcomes

= ( 2 x 9! ) / 10!  = ( 2 x 9 x 8 x ..... 2 x 1 ) / 10 x 9 x ....... 2 x 1)

= 2 / 10 = 1/5

Answer:

49

Step-by-step explanation:

Convert the dot plot into numbers

40, 40, 40, 45, 45, 50, 55, 55, 60, 60

Add all together

40+40+40+45+45+50+55+55+60+60 =490

Divide by amount of numbers there are

Amount of numbers = 10 --> 490/10 = 49

Mean = 49

Answer:

the rate at which the temperature drops

the day of the week

Step-by-step explanation:

Since we can choose the number of hour, it is dependent on us.

If we set time = 2, then it would 5 x 2 = 10 degree

Similarly, if we change time, the temperature changes. Thus, it is dependent.

Temperature is dropping at a rate of five degrees per hour.

If t = 1, T = 5*1 = 5°, rate = 5

if t = 2, T = 5*2 = 10°, rate = 5

if t = 3, T = 5*3 = 15°, rate = 5

Notice that rate doesnt change, even the temperature and time changes.

Thus, rate is independent.

Answer:

<QRS = 40 degrees

Step-by-step explanation:

Supplementary angles are 180 degrees therefore if angle ABC is 140 degrees that would mean that angle QRS has to be 40 degrees.

Hope this helped!

Have a good day!

Answer:

3

Step-by-step explanation:

27-6=7q

21/7=q

3=q

hope it helps

27 = 7q + 6

=> 27 - 6 = 7q

=> 21 = 7q

=> 21/7 = q

=> 3 = q

So, q = 3.

Answer:

≈ 78mi^2

Step-by-step explanation:

To find approximate land area:

296,550/3,800 = 78.039

Round to nearest whole number:

Area = 78