Translate the following sentence into an equation. Then solve the equation.
Four times a number, added to 6, is 34. Find the number.

The probability for the possibility on a failing the exam is  1/3 , shown on the scale.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Any collection of results constitutes an event. Events are represented by capital letters, such as A and B. For instance, if the experiment involves flipping a single fair coin, event A might only receive one head. P(A) represents the probability of an event A.

Given that-

probability = number of favourable outcome / total outcome

number of favourable outcome = 1

number of total outcome = 3

probability = 1/3

Thus, the probability for the possibility on a  failing exam is 1/3 , shown on the scale.

Know more about the probabilities

https://brainly.com/question/24756209

#SPJ1

Answer:

f(x) = 1.2 (x - 1)^2 (x - 5)^2

Step-by-step explanation:

The curve touches x-axis at x = 1 and 5

so the function is like f(x) = C(x-1)^2*(x-5)^2

where C is a constant

To determine C, note the y-intercept is 30 which is f(0)

f(0) = C*1*25 = 25C = 30

so C = 30/25 = 6/5=1.2

the f(x) = 1.2 (x - 1)^2 (x - 5)^2

Answer:

Horizontal.

Step-by-step explanation:

On a graph, y = 10 would be on the y-axis at the top. Therefore, draw a straight horizontal line.

Answer: horizontal

Step-by-step explanation:

y could be any value. y=10, y= 5, y=1,000. all are horizontal

x = 1, x = 50, x = 500. all are vertical. please look at attachment.

it is 4 . 7 on a pex

I forgor

The radius of the basketball is 5 inches when the  volume of a basketball is about 435 cubic inches.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The formula for the volume of a sphere is V = 4/3πr³,

where V is the volume

and r is the radius.

Let us find the formula for r

3V/ 4π =r³

Take cube root on both sides

∛3V/ 4π = r

Now let us find the radius when the volume of a basketball is about 435 cubic inches.

∛3×435/ 4×3.14 = r

1305/12.56 = r

∛103.9 = r

4.7 = r

5=r

Hence, the radius of the basketball is 5 inches when the  volume of a basketball is about 435 cubic inches.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ7

Answer:

y=4/3x+0

Step-by-step explanation:

slope intercept form works right?

y=mx+b

the m is the slope, and the problem gives us the slope. (4/3)

the b is the y intercept (where the line goes through the y) so on our coordinates, the second number is the y, so we have y=4/3x+b

HTH!!

(a) To calculate the area surrounding the swimming pool, we need to consider the width of the cement around all sides of the pool. Since the cement has a uniform width of 4m on all sides, we need to add 4m to the length and width of the pool.

The length of the pool with the surrounding cement is 10m + 2(4m) = 10m + 8m = 18m.

The width of the pool with the surrounding cement is 5m + 2(4m) = 5m + 8m = 13m.

The area surrounding the swimming pool is the difference between the area of the larger rectangle (with the cement) and the area of the pool itself.

Area surrounding pool = Area of larger rectangle - Area of pool

= (18m) x (13m) - (10m) x (5m)

= 234m² - 50m²

= 184m².

(b) The cost to install the cement is determined by multiplying the area surrounding the pool by the cost per square meter, which is $50.

Cost to install cement = Area surrounding pool × Cost per square meter

= 184m² × $50/m²

= $9,200.

More on area of rectangles can be found here: https://brainly.com/question/8663941

#SPJ1

The number of containers that will likely NOT be distributed to retailers is 5.

The company will not distribute any containers of oats with a mass less than 440 grams or greater than 468 grams.

The range of acceptable masses is 468 - 440 = 28 grams.

With a standard deviation of 7 grams, 2 standard deviations is 2 * 7 = 14 grams.

This means that approximately 68% of the containers will be distributed to retailers.

The remaining 32% will not be distributed.

If 100 containers are selected at random, approximately 32 containers will not be distributed.

OR

Two standard deviations gives 95%.

It means 100% - 95% = 5% out of 100 containers are likely not to be distributed.

5% of 100 containers is 5*100/100 = 5 containers.

Read more about standard deviation here:

https://brainly.com/question/24298037

#SPJ1

a. The distribution of X, the number of days for a randomly selected trial, is normally distributed (denoted as X ~ N(μ, σ), with a mean (μ) of 16 days and a standard deviation (σ) of 5 days.

b. Using the properties of the normal distribution, we can standardize the value and find the corresponding area under the standard normal curve.

Z = (X - μ) / σ

Z = (18 - 16) / 5 = 2 / 5 = 0.4

Now we can find the probability using a standard normal distribution table or calculator.

P(X ≥ 18) = P(Z ≥ 0.4) ≈ 0.3446

Therefore, the probability that a randomly selected trial lasted at least 18 days is approximately 0.3446.

c. Similarly, we can standardize the values and find the corresponding area under the standard normal curve.

Z1 = (18 - 16) / 5 = 0.4

Z2 = (23 - 16) / 5 = 1.4

P(18 ≤ X ≤ 23) = P(0.4 ≤ Z ≤ 1.4)

Using a standard normal distribution table or calculator, we can find the area under the curve between these two z-scores.

P(18 ≤ X ≤ 23) = P(1.4) - P(0.4) ≈ 0.4192 - 0.3446 ≈ 0.0746

Therefore, the probability that a randomly selected trial lasted between 18 and 23 days is approximately 0.0746.

d. To find the number of days within which 84% of all these types of trials are completed, we need to find the corresponding z-score that corresponds to the cumulative probability of 0.84.

Using a standard normal distribution table or calculator, we can find the z-score that corresponds to a cumulative probability of 0.84, which is approximately 1.0364.

We can then use the formula for standardizing to find the number of days:

Z = (X - μ) / σ

1.0364 = (X - 16) / 5

5  1.0364 = X - 16

5.182 = X - 16

X = 21.182

Rounding to the nearest whole number, 84% of all these types of trials are completed within 21 days.

Learn more about Standard Deviation here :

https://brainly.in/question/8940927

#SPJ11

a) The probability of randomly selecting 4 males out of 7 spectators, given that 70% of the spectators are males, can be calculated using the binomial probability formula.

b) To find the probability that at most 5 of the randomly selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females from the total number of selected spectators.

a) To calculate the probability of selecting 4 males out of 7 spectators, we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

- n is the total number of trials (number of people selected)

- k is the number of successful trials (number of males selected)

- p is the probability of success in a single trial (probability of selecting a male)

- C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)

In this case, n = 7, k = 4, and p = 0.70 (probability of selecting a male). Therefore, the probability of selecting 4 males out of 7 spectators is:

P(X = 4) = C(7, 4) * (0.70)^4 * (1 - 0.70)^(7 - 4)

b) To find the probability that at most 5 of the selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females. This can be done by summing the individual probabilities for each case.

P(X ≤ 5 females) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

To calculate each individual probability, we use the same binomial probability formula as in part a), with p = 0.30 (probability of selecting a female).

Finally, we sum up the probabilities for each case to find the probability that at most 5 of the selected spectators are females.

To learn more about probability  Click Here:  brainly.com/question/31828911

#SPJ11

Answer:the ration to x and b that equals c is about 3 dollars

Step-by-step explanation:

Answer:

Based on the given information, it is not possible to definitively determine whether the number generator is fair or not. However, we can make some observations and inferences:

We know that 70% of the socks in the drawer are black, which means that in a random selection of 10 socks, we would expect to see around 7 black socks on average.

The dot plot shows the number of black socks in 10 trials of the number generator. We can see that the number of black socks varies from 0 to 10, with some frequencies being higher than others.

Without knowing the exact frequencies or probabilities, we can see that the dot plot does not appear to be centered around 7 black socks, which is what we would expect from a fair number generator. However, it is difficult to determine whether the deviations from 7 are statistically significant or not, without more information.

Therefore, based on the given information, the most accurate statement is:

The number generator's fairness cannot be determined with certainty from the given data, but there are indications that it may not be perfectly fair.

Step-by-step explanation:

When searching for the value 10 in the array [2, 3, 5, 6, 9, 13, 16, 19], a recursive binary search algorithm will return false since the element is not found in the array.

About Binary Search Algorithm

The binary search algorithm, applied on arrays are of recursive type. The broad strategy is to look at the middle item on the list. The procedure of the binary search algorithm is either terminated (key found), the left half of the list is searched recursively, or the right half of the list is searched recursively, depending on the value of the middle element.

The function carrying out the binary search algorithm in a code returns true if the desired element is found in the array, else returns false. Since the element 10 is not present in the given array: [2, 3, 5, 6, 9, 13, 16, 19], the binary search algorithm will return false.

Learn more about binary search algorithm here:

https://brainly.com/question/20734425

#SPJ4

Answer:

RL=5x+28 and

RO=8X-11

diagonal of square bisect equally the side

:.5x+28=8x-11

11+28=8x-5x

39=3x

x=39/3=13

RY=RL=5x+28=5×13+28=93If the answer is 93, move to answer.

\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

The distance from the center to where the foci is located is 8 units

The formula associated with the focus of an ellipse is given as;

c² = a² − b²

where;

Let's use the Pythagorean theorem

Hypotenuse square = opposite square + adjacent square

Substitute the values into the formula

c² = 10² - 6²

Find the square

c² = 100 - 36

c² = 64

Find the square root

c = √64

c = 8

Thus, the distance from the center to where the foci is located is 8 units

Learn more about Pythagorean theorem here:

https://brainly.com/question/654982

#SPJ1

Given:

Total number of hours = 70 hours

Amount he charges (base fee) = $75

Amount he charges per hour =

By making and solving the respective equation x + 4x + 3 = 63, we can conclude that the age of Adam is 12 years.

According to a mathematical equation, two amounts or values are equivalent to a meaningful term, for example, 6 x 4 = 12 x 2.

When two or more factors must be taken into account together in order to comprehend or describe the entire situation, an equation is used.

So, we know that:

Jeff is 3 years older than four times of Adam.

Now, let Adam be x and Jeff be 4x + 3.

Then, the equation will be:

x + 4x + 3 = 63

5x + 3 = 63

5x = 63 - 3

5x = 60

x = 60/5

x = 12

Adam: = x = 12 years

Therefore, by making and solving the respective equation x + 4x + 3 = 63, we can conclude that the age of Adam is 12 years.

Know more about equations here:

brainly.com/question/2972832

#SPJ4

Answer: 729 cubic yards

Step-by-step explanation:

To calculate the volume of a cube,

we need to multiply its side 3 times, so

9×9×9=729.

k = 1/3 when two parabolas open up with f of x passing through negative 3 negative 3 and g of x passing through negative 1 negative 3.

Here,,

We must consider how the graph of f(x) gets transformed into the graph of g in order to determine the k value for the transformation of f(x) in the format g(x) = f(kx).(x). The vertex of a parabola is its lowest or highest point, depending on whether it is opening up or down, thus we can use the vertex coordinates of f(x) and g(x) to get the k value.

We know the vertices of both parabolas will be the lowest points on each graph because they both open up. Given that g(x) goes through and f(x) passes through (-3, -3), (-1, -3). We stretch or compress f(x) horizontally by a factor of k to convert it to g(x).

The x-coordinates of the parabolas' vertices can be used to determine k because it is where the horizontal compression takes place. The vertex of the quadratic function, f(x), has an x-coordinate of -b/2a, where b and an are its coefficients. Because f(x) is a parabola that is widening up in this instance, an is positive and the vertex's x-coordinate is -(-6)/(2*1) = 3. We can utilize this information to solve for k because the vertex of g(x) has an x-coordinate that is also 3k:

-1 = 3*k*(-3)

-1 = -9k

k = 1/9

Therefore, k = 1/3 is the right response.

Learn more about coordinate geometry here:

brainly.com/question/18269861

#SPJ1

Answer:

The answer is 1/65

Step-by-step explanation:

Answer:

Should Be 19 students

Step-by-step explanation:

The height of Jane's shadow who is 5.9 feet tall is appoximately 6.3 feet

Given that, a tree 54 feet tall casts a shadow 58 feet long and Jane is 5.9 feet tall.

To find the height of Jane's shadow, we can use proportions and ratios.

Hence:

(Height of the tree) : (Length of the tree's shadow) = (Height of Jane) : (Length of Jane's shadow)

Plug in:

Height of the tree = 54

Length of the tree's shadow = 58

Height of Jane = 5.9

Let Length of Jane's shadow = x

54 feet : 58 feet = 5.9 feet : x

54/58 = 5.9/x

Cross multiply:

54 × x = 58 × 5.9

54x = 342.2

x = 342.2/54

x = 6.3 feet

Therefore, the measure of her shadow is approximately 6.3 feet.

Learn more about ratios and proportions at :

https://brainly.com/question/29774220

#SPJ1

The value of m = 1 and n = 50, and the answer is (m.n) = 50

Let's call the cards picked by Alex and Dylan "pair 1".

Since Blair and Corey have to pick cards from the remaining 50, there are 50 * 49 = 2400 ways in which Blair and Corey can pick their cards.

Of these, 48 are such that Blair and Corey have the lower numbered cards and form the first team,

And 48 are such that Blair and Corey have the higher numbered cards and form the second team.

Thus, the probability that Alex and Dylan are on the same team is

p(a) = 48/2400 = 1/50

Probability is an area of mathematics that deals with numerical representations of how probable an event is to occur or how likely a statement is to be true. The probability of an occurrence is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

For more questions on Probability

https://brainly.com/question/25839839

#SPJ4

Answer:

4x

Step-by-step explanation:

Answer: 4/3

First, rewrite in slope-intercept form:

-3y=-5-4x

3y=5+4x

y=5/3+4/3x

y=4/3x+5/3

And so we can see that 4/3 is the slope of the equation.

Step-by-step explanation:

\( \sqrt{3x - 1} - 2 = 0\)

\( \sqrt{3x - 1} = 2\)

\( \sqrt{3x - 1} = \sqrt{4} \)

\(3x - 1 = 4\)

\(3x = 4 + 1\)

\(3x = 5\)

\(x = \frac{5}{3} \)