HELPPPPPP

Question:
In pic

Answer:

3x + 70 − 7x ≥ 18

Step 1: Simplify both sides of the inequality.

−4x + 70 ≥ 18

Step 2: Subtract 70 from both sides.

−4x + 70 − 70 ≥ 18 − 70

−4x ≥ −52

Step 3: Divide both sides by -4.

−4x /−4  ≥  −52 /−4

x ≤ 13

The correct statement is: A. P(E) = 0.3. The probability of event E, denoted as P(E), is equal to 0.3.

To determine the correct answer, let's analyze the given information.

We know that events D and E are independent, which means that the occurrence of one event does not affect the probability of the other event happening.

Given:

P(D) = 0.6

P(D and E) = 0.18

Since events D and E are independent, the probability of both events occurring (P(D and E)) can be calculated as the product of their individual probabilities:

P(D and E) = P(D) * P(E)

Substituting the given values:

0.18 = 0.6 * P(E)

To find the value of P(E), we can rearrange the equation:

P(E) = 0.18 / 0.6

P(E) = 0.3

Therefore, the correct answer is A. P(E) = 0.3.

Learn more about probability here: https://brainly.com/question/32117953

#SPJ11

Answer:

576

Step-by-step explanation:

48 {[2 x (1 + 3)] + 4}​

48 ((2x4)+4)

48(8+4)

48 x 12

= 576

Answer:

20.25?

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

for example

if your data set is

14, 15, 16, 17, and 18

the median or middle number is 16

the mean or the average is also 16

(add them all up and then divide)

added up they equal 80

then divide by 5

16

Answer:

b

Step-by-step explanation:

Since it intercepts y at 4, and x at 2, we use y=ax+b and rearrange to get the equation from y=2x+4 to 2x-y=-4

Answer:

b) 2x - y = -4

Step-by-step explanation:

The y-intercept is the y-coordinate of the point (0, b) where the graph crosses the y-axis. It is also the value of y when x = 0.

The crosses the y-axis at point (0, 4). Therefore, the y-intercept, b = 4.

Next, we need to determine which of the given options matches the graph.  It helps to transform each of them into their slope-intercept form, y = mx +b:

2x - 2x + y = - 2x + 4

y = -2x + 4  (This is not the correct answer because the slope, m = -2. The given graph has a positive slope).

2x - 2x - y = - 2x - 4

-y = -2x - 4

Divide both sides by -1:

\(\frac{-y}{-1} = \frac{-2x - 4}{-1}\)

y = 2x + 4 This is the correct answer because it matches the y-intercept (0, 4), and has a positive slope of 2.

We could easily disregard the last two options because both of their y-intercept is 0.

Therefore, the correct answer is Option b) 2x - y = - 4

y= 3x + 4

Slope: 3

y-intercept: (0,4)

y= -2x - 3

Slope: -2

y-intercept: (0,-3)

The number of rice balls Justin can make with 700 grams of rice is 7.

How many rice balls can Justin make?

In order to determine the rice balls he can make, divide the grams of rice he has by the grams needed to make one rice ball. Division is the process of grouping a number into equal parts using another number.

Rice balls he can make = 700 grams / 100 grams = 7

To learn more about division, please check: https://brainly.com/question/13281206

#SPJ1

Answer:

7 rice balls

Step-by-step explanation:

Answer:

i think the answer is D

but it doesn't presence in the choice

Skewness of the normal distribution. When it comes to normal distribution, the skewness is equal to zero.

Skewness is a measure of the distribution's symmetry. When a distribution is symmetric, the mean, median, and mode will all be the same. When a distribution is skewed, the mean will typically be larger or lesser than the median depending on whether the distribution is right-skewed or left-skewed. It is not appropriate to discuss mean or median in the case of normal distribution since it is a symmetric distribution.

Therefore, the answer is None of the above.

In normal distribution, the skewness is equal to zero, and it is not appropriate to discuss mean or median in the case of normal distribution since it is a symmetric distribution.

To know more about Skewness visit:

brainly.com/question/15422644

#SPJ11

Answer:

-1.2/(-1.2x)=12/-1.2   x=-10

Step-by-step explanation:

By solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

A mathematical statement known as an equation is made up of two expressions joined by the equal sign.

A formula would be 3x - 5 = 16, for instance.

When this equation is solved, we discover that the number of the variable x is 7.

So, calculate as follows:

Let g represent giraffes and o represent ostriches.

g + o = 70 ...(1)

4*g + 2*o = 200  ...(2)

g = 70 - o, according to equation 1, therefore we may enter that number in place of g in equation 2 to obtain:

4*g + 2*o = 200

4*(70-o) + 2*o = 200

280 - 4o + 2o = 200

-2o = 200 - 280

2o = 80

o = 80/2

o = 40

Ostriches are 40 then giraffes will be:

70 - 40 = 30

Therefore, by solving equations we know that there are 30 giraffes and 40 ostriches in the zoo.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ4

The diagonal measurement as √5625 ft, which is approximately 75 feet, the correct answer is B. 75 ft 0 in.

The diagonal measurement of the rectangular slab on grade can be found using the Pythagorean theorem. The diagonal is the hypotenuse of a right triangle formed by the length and width of the slab.

To calculate the diagonal measurement, we can apply the Pythagorean theorem:

Diagonal² = Length² + Width²

Substituting the given values, we have:

Diagonal² = (60 ft 0 in.)² + (45 ft 0 in.)²

Calculating this expression, we find:

Diagonal² = 3600 ft² + 2025 ft²

Diagonal² = 5625 ft²

Taking the square root of both sides, we obtain:

Diagonal = √5625 ft

Diagonal ≈ 75 ft

Therefore, the diagonal measurement of the rectangular slab on grade is approximately 75 feet.

To find the diagonal measurement of the rectangular slab on grade, we can use the Pythagorean theorem,

which states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides (length and width).

To know more about length click here

brainly.com/question/30625256

#SPJ11

The required answer is  sec θ = -√2.

Explanation:-

Part 1: Given cosine of theta is equal to radical 3 over 2 on the domain [0,[infinity]).

To determine three possible angles θ,  the cosine inverse function which is a cos and since cosine function is positive in the first and second quadrant. Therefore  conclude that, cosine function of θ = radical 3 over 2 implies that θ could be 30 degrees or 330 degrees or 390 degrees. So, θ = {30, 330, 390}.Part 2:To convert 495° to radians, multiply by π/180°.495° * π/180° = 11π/4To find sec θ, we use the reciprocal of the cosine function which is sec.

Therefore, sec θ = 1/cos θ.To find cos 11π/4,  the reference angle, which is 3π/4. Cosine is negative in the third quadrant so the final result is sec θ = -√2.

To know about domain . To click the link.

https://brainly.com/question/30133157.

#SPJ11

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

For more such question on fraction

https://brainly.com/question/17220365

#SPJ8

Answer:

I think 60

Step-by-step explanation:

I divided 45 by 6, and then multiplied that answer by 8. I hope this helps :) (Tell me if I am wrong)

The Answer Should Be 5 Minutes!

I Hope This Helps You!!!

(1) the power series solution is y(x) = a₀ + a₁x - a₀x²/2! - a₁x⁴/4! + a₀x⁶/6! + a₁x⁸/8! - ... (2) the power series solution is y(x) = a₀ + a₁x + (a₀/2)x² + (a₁/6)x³ - (a₀/24)x⁴ - ... (3) the power series solution is given by y(x) = a₀ + a₁x - (a₀/2)x³ - (a₁/6)x⁴ + (a₀/24)x⁵ + ... (4) the power series solution is y(x) = a₀ + a₁x - (a₁/2)x² + (3a₁/4)x³ - (5a₁/6)x⁴ + ...

(1) For the differential equation y" + x²y = 0, the power series solution can be obtained as y(x) = ∑(n=0 to ∞) aₙxⁿ, where aₙ represents the coefficients of the power series. Differentiating y(x) twice and substituting it into the differential equation, we find that the coefficient aₙ satisfies the recursion relation aₙ = -aₙ₋₂/(n(n+1)), where a₀ and a₁ are arbitrary constants. Thus, the power series solution is y(x) = a₀ + a₁x - a₀x²/2! - a₁x⁴/4! + a₀x⁶/6! + a₁x⁸/8! - ...

(2) For the differential equation y" - xy + 2y = 0, we can also find a power series solution. Let y(x) = ∑(n=0 to ∞) aₙxⁿ be the power series solution. By substituting this into the differential equation and equating the coefficients of like powers of x to zero, we obtain a recursion relation for the coefficients aₙ. Solving this recursion relation, we find that aₙ = (aₙ₋₂ - 2aₙ₋₄)/(n(n-1)) for n ≥ 2, with a₀ and a₁ being arbitrary constants. Hence, the power series solution is y(x) = a₀ + a₁x + (a₀/2)x² + (a₁/6)x³ - (a₀/24)x⁴ - ...

(3) For the differential equation y" + 2xy + 2y = 0, we can determine a power series solution as y(x) = ∑(n=0 to ∞) aₙxⁿ. Substituting this into the differential equation and comparing coefficients, we obtain a recurrence relation for the coefficients aₙ. Solving this recurrence relation, we find aₙ = -aₙ₋₂/(n(n+1)) for n ≥ 2, where a₀ and a₁ are arbitrary constants. Therefore, the power series solution is given by y(x) = a₀ + a₁x - (a₀/2)x³ - (a₁/6)x⁴ + (a₀/24)x⁵ + ...

(4) Lastly, for the differential equation (x + 2)y" + xy' - y = 0, we can seek a power series solution y(x) = ∑(n=0 to ∞) aₙxⁿ. Substituting this into the differential equation and comparing coefficients, we obtain a recurrence relation for the coefficients aₙ. Solving this recurrence relation, we find aₙ = [(n+1)aₙ₊₁ - aₙ₊₂]/(n(n+2)) for n ≥ 0. Thus, the power series solution is y(x) = a₀ + a₁x - (a₁/2)x² + (3a₁/4)x³ - (5a₁/6)x⁴ + ... where a₀ and a₁ are arbitrary constants.

The power series solutions to the given differential equations are: (1) y(x) = a₀ + a₁x - a₀x²/2! - a₁x⁴/4! + a₀x⁶/6! + a₁x⁸/8! - ..., (2) y(x) = a₀ + a₁x + (a₀/2)x² + (a₁/6)x³ - (a₀/24)x⁴ - ..., (3) y(x) = a₀ + a₁x - (a₀/2)x³ - (a₁/6)x⁴ + (a₀/24)x⁵ + ..., and (4) y(x) = a₀ + a₁x - (a₁/2)x² + (3a₁/4)x³ - (5a₁/6)x⁴ + ..., where a₀ and a₁ are arbitrary constants.

Learn more about differential equation here: brainly.com/question/32538700

#SPJ11

15 Weeks should be the answer

The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

To learn more about parabola click :

https://brainly.com/question/24042022

#SPJ1

Answer:Hope it helps.

Step-by-step explanation:

Rotation 90 degrees clockwise.

180 degrees would be half way turned and clock wise starts at 12 and goes to 1-12. Counter would go 12-11-10. Think of it as a clock. Tried my best. GL

If the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

As we know that,

Statustical significance refers to claim that a result from data generated by testing or experimentation is likely to be attributable to specific cause.

Sample size is the total number of individuals or items that comprise a sample.

And, the variance is a descriptive statistic, which falls under the category of a measure of spread.

The circumstance in which a very small treatment effect can be found to be significant is best described by option A: If the sample size big and the sample variance is small.

A large sample size will increase the probability that the results of a statistical test will yield significant results. This is why most statistical tests are accompanied by a measure of effect size. A statistically significant result associated with a very large sample size, will likely have a small effect size, an undesirable result for a researcher, as it implies one of the only reasons significant results were obtained was due to the large sample, not necessary the magnitude of the experimental effect.

Likewise, if variance is small, this will also increase the probability that the results of a statistical test will yield significant results. Variance is simply another word in statistics for the error. A decrease in error will lead to an increased probability of obtaining significant results, hence the idea that a small amount of variance will lead to an increased probability of significant results.

Hence, if the sample size is small and the sample variance is large then

small treatment effect still be statistically significant.

Find out more information about statistical significance here:

https://brainly.com/question/14100967

#SPJ4

The equation \(4x^2u^n + (1-x^2)u = 0\) has two solutions. One solution is given by \(u_1 = x^{1/2}\left(1 + \frac{x^2}{16} + \frac{x^4}{1024} + \dots\right)\). The other solution is not provided in the given question.

To find the solutions, we can rewrite the equation as \(u^n = -\frac{1-x^2}{4x^2}u\). Taking the square root of both sides gives us \(u = \pm\left(-\frac{1-x^2}{4x^2}\right)^{1/n}\). Now, let's focus on finding the positive solution.

Expanding the expression inside the square root using the binomial series, we have:

\[\left(-\frac{1-x^2}{4x^2}\right)^{1/n} = -\frac{1}{4^{1/n}x^{2/n}}\left(1 + \frac{(1-x^2)}{4x^2}\right)^{1/n}\]

Since \(|x| < 1\) (as \(x\) is a fraction), we can use the binomial series expansion for \((1+y)^{1/n}\), where \(|y| < 1\):

\[(1+y)^{1/n} = 1 + \frac{1}{n}y + \frac{1-n}{2n^2}y^2 + \dots\]

Substituting \(y = \frac{1-x^2}{4x^2}\), we get:

\[\left(-\frac{1-x^2}{4x^2}\right)^{1/n} = -\frac{1}{4^{1/n}x^{2/n}}\left(1 + \frac{1}{n}\cdot\frac{1-x^2}{4x^2} + \frac{1-n}{2n^2}\cdot\left(\frac{1-x^2}{4x^2}\right)^2 + \dots\right)\]

Simplifying and rearranging terms, we find the positive solution as:

\[u_1 = x^{1/2}\left(1 + \frac{x^2}{16} + \frac{x^4}{1024} + \dots\right)\]

The second solution is not provided in the given question, but it can be obtained by considering the negative sign in front of the square root.

Learn more about equation here: brainly.com/question/29657983

#SPJ11

e.g for 15:

a = 3, b is missing, c = 10

A is missing, B is ?, C is 90

Answer:

-1

Step-by-step explanation:

-15-2(-7)

-15+2·7

-15+14

-1