Solve the following equation:2x + 4 = 8

Answer: 7c-2

Step-by-step explanation:

Answer:

0.51

Step-by-step explanation:

Considering the residents aged 50 or over, there are:

This means that there are a total of 3350 people out of the 6509 that meet the required conditions, and thus the answer is 3350/6509, which is about 0.51.

Answer:

60 mph

Step-by-step explanation:

1 min to go 1 mile, 60 minutes per hour, 60 x 1=60

The types of systems of linear equations are as follows:

Dependent: The system has infinitely many solutions. The graphs of the equations represent the same lines. Example:

. The system has infinitely many solutions.

Independent: The system has exactly one solution. The graphs of the equations intersect at a single point.

Inconsistent: The system has no solution. The graphs of the equations are parallel lines.

Answer: Pablo pays $30every night?

Step-by-step explanation:

Answer:

0.3711 = 37.11% probability that 5 or more of the 100 people will get the flu

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they will develop the flu after getting the shot, or they will not. The probability of a person developing the flu after getting the shot is independent of any other person, which means that the binomial probability distribution is used 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.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The probability that a person will develop the flu after getting a flu shot is 0.04.

This means that \(p = 0.04\)

Random sample of 100 people:

This means that \(n = 100\)

What is the probability that 5 or more of the 100 people will get the flu?

This is:

\(P(X \geq 5) = 1 - P(X < 5)\)

In which

\(P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)\)

So

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{100,0}.(0.04)^{0}.(0.96)^{100} = 0.0169\)

\(P(X = 1) = C_{100,1}.(0.04)^{1}.(0.96)^{99} = 0.0703\)

\(P(X = 2) = C_{100,2}.(0.04)^{2}.(0.96)^{98} = 0.1450\)

\(P(X = 3) = C_{100,3}.(0.04)^{3}.(0.96)^{97} = 0.1973\)

\(P(X = 4) = C_{100,4}.(0.04)^{4}.(0.96)^{96} = 0.1994\)

Then

\(P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0169 + 0.0703 + 0.1450 + 0.1973 + 0.1994 = 0.6289\)

\(P(X \geq 5) = 1 - P(X < 5) = 1 - 0.6289 = 0.3711\)

0.3711 = 37.11% probability that 5 or more of the 100 people will get the flu

The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

From the question, we have the following equations that can be used in our computation:

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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Answer:

There is no mode.

Step-by-step explanation:

Mode is a number that appears in a data set multiple times and their are no two numbers here.

Answer:

0 mode .

Step-by-step explanation:

a mode is number that appears the mos in a given sequence

The total distance covered is 15000 m. The total time taken is 5220 seconds and the speed is 2.87 m/s.

We know that speed has to do with the ratio of the distance that has been covered to the time taken. The speed is a scalar quantity and as such we do not consider the direction hence we would not consider that going back in the opposite direction. The total distance can be obtained algebraically.

The total distance that the student travelled can be obtained from;

5000 m + 5000 m + 5000 m

= 15000 m

The total time taken in seconds = 1800 seconds + 1800 seconds + 1620 seconds

= 5220 second

Speed = Distance/ Time

= 15000 m/5220 second

= 2.87 m/s

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The value of the angle x is 30 degrees

To determine the value of the variable x, we need to know the triangle sum theorem.

The triangle sum theorem is a theorem in mathematics stating that the sum total of the interior angles in a triangle is equivalent to 180 degrees.

We should also note that angle at right angle is 90 degrees

Then, we have the angles written as;

90 degrees

2x degrees

x degrees

Equate the angles , we have;

2x + x + 90 = 180

collect the like terms, we have;

2x + x = 180 - 90

add or subtract the like terms, we have;

3x = 90

divide by the coefficient

x = 30

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The values into the slope-intercept form, we have y = -5x - 6

The slope-intercept form of a linear equation is given by:

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

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Answer: 47.75

Step-by-step explanation: It explains at the end that she bought 30 prints. You would take 30 and just plug it in for X. So the formula would look like this, B(x)=50.75-0.10(30).

Answer: D. 12

Step-by-step explanation:

The first step here is to find all the possible selections and the number of options for each selection:

bread: 2 options (white or wheat)

meat: 3 options (beef, ham or turkey)

cheese: 2 options (swiss or cheddar)

The total number of combinations (of different possible sandwiches that Ray can order) is equal to the product between the numbers of options for each selection, so we have:

Combinations = 2*3*2 = 12

So the correct option is D.

Answer:

D. 12

Step-by-step explanation:

Given

total number , n= 10

successful events , x = 6

probability of success, p =45% = 0.45

probability of failure , q = 1 - p = 1 - 0.45 = 0.55

Find

the probability exactly 6

Explanation

Use binomial probability formula ,

so ,

Final Answer

Probability of exact 6 = 0.160

Answer:

999.9

Step-by-step explanation:

hjvjg

Answer:

The answer should be B. SAS

Given

Solution

The final answer is

Option D

The simplified expression of (x¹² ÷  x⁴). x³ is x¹¹

The expression can be solved as follows:

(x¹² ÷  x⁴). x³

The law of indices can be used to solve the expression.

Therefore,

\(\frac{x^{a} }{x^{b} } = x^{a - b}\)  and \((x^{a} )^{b} = x^{ab}\) and \(x^{a} .x^{b} = x^{a+b}\)

Hence,

(x¹² ÷  x⁴) = x¹² / x⁴ = x¹²⁻⁴ = x⁸

Therefore,

(x⁸). x³ = x⁸⁺³

Finally,

x⁸⁺³ = x¹¹

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Answer:

101.4 floz

Step-by-step explanation:

If I'm correct, you should multiply 16.9 by 6 because there are 6 bottles and each has 16.9 fluid ounces of water.

A water bottle has 16.9 fluid ounces of water, there would be a total of 101.4 fluid ounces of water.

We are given that each water bottle contains 16.9 fluid ounces of water. This is the capacity or volume of a single bottle.

To find the total amount of water in a pack of 6 bottles, we can multiply the amount of water in one bottle by the number of bottles in the pack.

Amount of water in one bottle: 16.9 fluid ounces

Number of bottles in the pack: 6

Total amount of water in the pack: 16.9 fluid ounces/bottle * 6 bottles = 101.4 fluid ounces

Therefore, there would be a total of 101.4 fluid ounces of water in a pack of 6 bottles.

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Answer:

a) 0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.

b) 0.5989 = 59.89% probability that it actually rains on the day of the wedding

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

A. What is the probability that the meteorologist predicts that it rains on a given summer day?

80% of 25/92(prediction of rain, and rained).

20% of 67/92(prediction of rain, did not rain). So

\(P = \frac{0.8*25}{92} + \frac{0.2*67}{92} = 0.3630\)

0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.

B. Given that the meteorologist predicted rain, what is the probability that it actually rains on the day of the wedding?

Conditional Probability, in which:

Event A: prediction of rain

Event B: rain

0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day, which means that \(P(A) = 0.3630\)

Rain and prediction of rain:

80% of 25/92. So

\(P(A \cap B) = \frac{0.8*25}{92} = 0.2174\)

The desired probability is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2174}{0.3630} = 0.5989\)

0.5989 = 59.89% probability that it actually rains on the day of the wedding

2 places to the right

2 zeros

Answer: $12 less.

Step-by-step explanation:

Given: Ms. Cole pays $2 a month  for online banking at her credit union.

In 6 months she will pay = 6 x ($2)

= $12

It means that he balance will be decreased by $12 [as the amount was debited from the balance].

So, the change in the balance of her account if she pays this fee for 6 months = $12 less.

Answer:

y=-4x-3

Step-by-step explanation:

passes through-2,5

slope -4

If we compare both sides of the equation we get,

D. a = 4, b = 6 and c = 5

Answer:

105 degrees.

Step-by-step explanation:

< DAB and <CDA are supplementary.

Therefore m < DAB = 180 - 75

= 105 degrees.

Answer:

105 degrees.

Step-by-step explanation:

Answer:

Option C : x-6

Step-by-step explanation:

since tina’s brother height is X we start there

x

And tine is 6 less than her bother so we subtract 6

x-6

and that’s it

Hopes this helps please mark brainliest