X times a number is greater than or equal to 6

Answer:

\(x - 3 = 13 \\ \\ x = 13 + 3 \\ \\ x = 16\)

-3 goes to other side and changes into +3

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < 6

Interval Notation:

( − ∞ , 6 )

Answer:

Inequality:8x+6<54

Do minus 6 on each side:8x<54

Now do divided by 8 on each side:x=6.75

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

3x - 9 = 21

add 9 on both sides:

⇒ 3x - 9 + 9 = 21 + 9

⇒ 3x = 30

divide 3 on both sides:

⇒ \(\frac{3x}{x} = \frac{30}{3}\)

⇒ x = 10

to check answer, substitute x by 10 on the original equation:

⇒ 3x - 9 = 21

⇒ 3 x 10 - 9 = 21

⇒30 - 9 = 21

⇒ 21 = 21

The estimated standard deviation of the bear weights, based on the given graph and using the 69-95-99.7% rule, is approximately 63.

The 69-95-99.7% (empirical) rule, also known as the 3-sigma rule, is a rule of thumb that applies to data that follows a normal distribution. According to this rule:

- Approximately 68% of the data falls within one standard deviation of the mean.

- Approximately 95% of the data falls within two standard deviations of the mean.

- Approximately 99.7% of the data falls within three standard deviations of the mean.

In the given graph, if we assume the bear weights follow a normal distribution, we can estimate the standard deviation using the 69-95-99.7% rule.

Based on the graph, we know that the midpoint of the distribution (mean) is 200. Assuming the graph is symmetric, we can estimate one standard deviation as half the distance between the mean (200) and either end (74 or 326).

To calculate this, we subtract the mean from one of the endpoints and divide by 2:

Standard Deviation ≈ (326 - 200) / 2 ≈ 126 / 2 ≈ 63

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Answer:

It makes sense to me but I don't know if anyone else agrees

Step-by-step explanation:

Answer:

123 ; 54 ; 1 ; 0.5 ; 0.03 ; 0 ; -1 ; -4 ; -10 ; -134

Step-by-step explanation:

123 ; 54 ; 1 ; 0.5 ; 0.03 ; 0 ; -1 ; -4 ; -10 ; -134

Answer:

ig thats the ans

Step-by-step explanation:

5 x x -1 =x3+9

Answer:

5x - 1 = 3x +9

and x = 5

Answer with Step-by-step explanation:

5x - 1 = 3x +9

If u need the solution

5x - 1 = 3x +9

5x-3x = 9+1

2x = 10  ; x = 10/2=5

I hope im right!!

The  areas of rectangles D, E and F are 24p units², 14m units² and (15x + 40) units² respectively

Given: rectangles D, E and F as labeled

For rectangle D, the length will be the addition of the four p's

length(L) = p + p + p + p = 4p

width (W) = 6

Area = L × W

Area = 4p × 6 = 24p units²

For rectangle E:

It should be noted that the length will be the addition of 6 and 8. The width is also represented by m.

length(L) = 6 + 8 = 14

width (W) = m

Area = L × W

Area = 14 × m = 14m units²

For rectangle F:

length(L) = 3x + 8

width (W) = 5

Area = L × W

Area = (3x + 8) × 5 = (15x + 40) units²

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Answer:

198

Step-by-step explanation:

If you add 11,18, 19, 81, 88, 89, 91, 98, 99 then the sum would be 594 then dividing by 3 would be 198.

PLZ MARK BRAINLIEST!!!

Answer:

Step completed incorrectly:  2

Correct Answer: y = -4x + 22

Step-by-step explanation:

The graph is a straight line through points M(4, -1) and N(8, 0).  Point Q is located at (6, -2).

To calculate the slope of the line, substitute the points into the slope formula:

\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)

Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.

If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.

The negative reciprocal of 1/4 is -4.

Therefore, the slope of the perpendicular line is -4.

So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.

Corrected work

\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)

\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)

\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)

\(\textsf{Step 4:} \quad y+2=-4x+24\)

\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)

\(\textsf{Step 6:} \quad y=-4x+22\)

Therefore, step 2 has been completed incorrectly.

The correct answer is y = -4x + 22.

Answer:

Step-by-step explanation:

[-5/13] 3/5 +12+13 [-4/5 = - 63/65

Answer:

Give me a sec

Step-by-step explanation:

The number of different frames you can create, if There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from, is 12.

A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.

Given:

There are 4 different styles, each available in 5 different colors, there are 3 different shades of blue to choose from,

Calculate the total number of frames, we can create as shown below,

The number of frames = different styles available for blue color × shades of blue

The number of frames = 4 × 3

The number of frames = 12

Thus, the number of frames you can create is 12.

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Answer:

  a) $975

  b) growth

  c) 0.3% per month

  d) 6 months: $992.68; 12 months: $1010.68

  e) 8.5 months

Step-by-step explanation:

Given the formula for the monthly balance in a savings account is b = 975(1.003^m), you want the initial deposit, the monthly growth rate, the balance after 6 and 12 months, and the time until the account has a value of $1000.

The general form of an equation for exponential growth is ...

  value = (initial value) × (growth factor)^(time periods)

     where (growth factor) = 1 + growth rate per time period

Comparing this form to the given equation, we can identify the parts:

  value = b, the monthly balance

  initial value = 975, the amount Michael opened the account with

  growth factor = 1.003 per month; time periods are months

  growth rate = 0.003 = 0.3% per month

From our analysis of the equation, we see that the opening deposit is $975.

The growth rate is positive, so this is a case of exponential growth.

The growth rate per month is 0.3%. The monthly interest rate is 0.3%.

We can find the balance after 6 and 12 months by evaluating the formula for those values of m.

To find the time it takes for the balance to reach 1000, we must solve the equation for m. Since m is an exponent, logarithms are involved.

  1000 = 975(1.003^m)

  1000/975 = 1.003^m . . . . . . divide by 975

  log(1000/975) = m·log(1.003) . . . . take logarithms

  m = log(1000/975)/log(1.003) . . . . . divide by the coefficient of m

  m ≈ 8.5 . . . . months

It will take about 8.5 months for the account balance to be $1000.

__

Additional comment

The relevant rule of logarithms is ...

  log(a^b) = b·log(a)

Logarithms were invented for the purpose of transforming multiplication problems into addition problems. When exponents are involved, that means exponential problems are transformed to linear problems. That's what we're doing here.

We have left log(1000/975) as a log expression. We could have replaced it with a number. That might better help you see the simplicity of the equation for m:

  0.0109954 = 0.00130093·m

As with all such equations, you find the value of the variable by dividing both sides by its coefficient.

You need to be careful with precision. These numbers are rounded to 6 significant figures. Their ratio is good to 4 significant figures. We let the calculator figure the value from the log expressions so we get the best possible accuracy.

Answer:804,000,000,000 & 8.0e+11

Step-by-step explanation:

logic

Answer:

Solution in photo

Answer:

9 people

Step-by-step explanation:

9 pieces of the 10 pieces of pie were left. If all 9 of those are gone and each took 1, there were 9 employees.

Answer:

60 degrees

Step-by-step explanation:

A triangle adds up to 180 degrees. 180 divided by 3 is 60. The answer is 60 degrees.

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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Complete Question

From the mid-1960's to the early 1990's, there was a slow but steady decline in SAT scores. For example, take the Verbal SAT. The average in 1967 was about 543; by 1994, the average was down to about 499. However, the SD stayed close to 110. The drop in average has a large effect on the tails of the distribution.

Estimate the percentage of students scoring over 700 on 1967.

A 0.7%

B  7%

C 7.67%

D 7.6%

Answer:

The correct option is D

Step-by-step explanation:

From the question we are told that

   The average  SAT score in 1967 is  \(\= x_1 =543\)

     The  standard deviation of score in 1967 is  \(\sigma_ 1= 110\)

     The average  SAT score in 1994 is  \(\= x_2 = 499\)

      The  standard deviation of score in 1967 is  \(\sigma_ 2 = 110\)

The percentage of students scoring over 700 on 1967 is mathematically represented as

   \(P(X > 700)\)

Where X is the random variable representing score of student above 700

Now  normalizing the above probability we have

     \(P(X > 700) = P(Z > \frac{700 - \= x_1 }{\sigma } )\)

substituting values

      \(= P(Z > \frac{700 - \= 543}{110 } )\)

      \(= P(Z > 1.83 )\)

Form the normalized z table  

      =  0.076

     =  7.6 %

In the given function H(p) = p/5 + 15, the independent variable is "p" ,

The independent variable in this function is denoted by "p." The independent variable can also be referred to as the input variable, which means that it is the value that is inputted into the function to produce an output. In this specific function, "p" represents the price of a good or service.

It is important to distinguish between the independent and dependent variables in a function. The dependent variable is denoted by "H(p)" in this case, and it is the output of the function. The value of the dependent variable is determined by the independent variable. In this function, "H(p)" represents the total cost of the good or service, which is dependent on the price "p." p is the input variable representing the price of the good or service.

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Applying the tangent and the circle theorems, we have:

22. x ≈ 9.4;   23. Perimeter of triangle GHI = 168 units

24. m<NSR = 110°;    25. x = 10

22. Based on the tangent theorem, the triangle is a right triangle since the line is tangent to the radius of the circle. Therefore, based on the Pythagorean theorem, we have:

x = √[(7.4 + 4.6)² - 7.4²]

x ≈ 9.4

23. JH and HK are tangents, therefore they are equal. Thus:

7x + 4 = 13x - 20

7x - 13x = -4 - 20

-6x = -24

x = 4

Perimeter = GI + GJ + JH + HK + KI

GI = 52

HK = JH = 7x + 4 = 7(4) + 4 = 32

KI = 15

GJ = 52 - 15 = 37

Perimeter of triangle GHI = 52 + 37 + 32 + 32 + 15 = 168 units

24. Based on the angle of intersecting chords theorem, we have:

m<NSR = 1/2(170 + 50)

m<NSR = 110°

25. Based on the inscribed angle theorem, we have:

2(4x - 5) + 290 = 360

Solve for x:

8x - 10 + 290 = 360

8x = 360 - 280

8x = 80

x = 10

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The right response is C. A has a pivot location in each row if the equation Ax-b has a solution for each b in \(R^n\).

The pivots must be on A's diagonal since A is square. Hence, A is a row that is identical to In. A is hence invertible.

If there is an answer to the equation Ax-b for each b in \(R^n\), then there is an answer to the equation Ax = b for each b. This indicates that A has complete rank since the column space of A is all of \(R^n\).

A must-have n pivot points (one in each row), and the pivots must be on the diagonal of A since A is a square matrix with complete rank.

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Answer:

1 foot above the ground, positive 1

Step-by-step explanation:

you start at ground level let's call that 0

you go 10 down 0-10=-10

Now you climb up 20 feet so -10+20=10

Then you finally climb down 9 feet and 10-9=1

So you are one foot above the ground.

Answer: a. 8% ; b. Not independent; c. See tree diagram; d. Yes

Step-by-step explanation:

a. Let F = Females

M = Males

C = Those that attend college

P(F) = 80% = 0.8

P(M) = 20% = 0.2

P(C/F) = 90% = 0.9

P(C/M) = 78% = 0.78

If 90% of the females go to college, it means that 10% don't go to college.

We then use the multiplication rule and we'll get:

= 80% × 10%

= 0.8 × 0.1

= 0.08

= 8%

b. An independent event is one that the occurence of one event doesn't affect the other event from happening. However, this is not independent as the occurence of the events affect each other.

c. See attachment

The joint probability on the tree diagram will be:

= 0.72 + 0.08 + 0.156 + 0.044

= 1.00

The day, from the following two days, which would be the best to sell both stocks with the closing price is day 3 by an amount of $2.45.

Given are the closing prices of two stocks in three days.

If you purchase 65 shares of Metropolis stock and 50 shares of Suburbia stock on Day 1 at the closing price,

Amount invested = (65 × 17.95) + (50 × 5.63) = $1448.25

If the stock is sold in day 2,

Amount received = (65 × 18.25) + (50 × 4.98) = $1435.25

Profit = $1435.25 - $1448.25 = -$13

If the stock is sold in day 3,

Amount received = (65 × 18.28) + (50 × 5.25) = $1450.7

Profit = $1450.7 - $1448.25 = $2.45

The profit is more for day 3 than day 2.

Hence it is best to sell on day 3 by $2.45.

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The total amount of water required to grow the fruit for the smoothie would be approximately (239 - 287) gallons.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

To determine how much water it takes to grow the fruit needed for the smoothie, we need to use the information on water requirements for banana and orange cultivation.

According to the Food and Agriculture Organization (FAO):

Bananas require an average of 800 to 1000 liters (or 211 to 264 gallons) of water per kilogram of fruit produced,

Oranges require an average of 600 to 700 liters (or 158 to 185 gallons) of water per kilogram of fruit produced.

Now,

Assuming that the bananas and oranges used in the smoothie weigh 1 pound and 2 pounds respectively,

or approximately 0.45 kilograms and 0.91 kilograms respectively,

We can estimate the water required to grow the fruit as follows:

Water for bananas:

= 800-1000 liters/kg x 0.45 kg

= 360-450 liters, or 95-119 gallons

Water for oranges:

= 600-700 liters/kg x 0.91 kg

= 546-637 liters, or 144-168 gallons

Therefore,

The total amount of water required to grow the fruit for the smoothie would be approximately (239 - 287) gallons.

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