simplify (-5)∧5(-5)∧-6

Answer:

1=60

2=14.30

Step-by-step explanation:

a) P (20 < or = X) =  0.8617: This is the probability that 20 or more of the 30 patients will be helped by the medicine.

b) P (18 < or = X < 25) = 0.8557: This is the probability that between 18 and 25 of the 30 patients will be helped by the medicine.

c) P ( X < 16) = 0.0266: This is the probability that less than 16 of the 30 patients will be helped by the medicine.

The given situation can be modeled using a binomial distribution, where the number of trials is 30, and the probability of success is 0.75. We can use the binomial probability formula to find the probabilities for each of the given conditions. The binomial probability formula is:

P(X = x) = (n choose x) * p^x * (1-p)^(n-x)
where n is the number of trials, x is the number of successes, p is the probability of success, and (n choose x) is the binomial coefficient.

a) P (20 < or = X) = 1 - P (X < or = 19) = 1 - sum_{x=0}^{19} (30 choose x) * (0.75)^x * (0.25)^(30-x) = 0.8617

b) P (18 < or = X < 25) = P (X < or = 24) - P (X < or = 17) = sum_{x=18}^{24} (30 choose x) * (0.75)^x * (0.25)^(30-x) = 0.8557

c) P ( X < 16) = sum_{x=0}^{15} (30 choose x) * (0.75)^x * (0.25)^(30-x) = 0.0266

Therefore, the probabilities are 0.8617, 0.8557, and 0.0266 for the conditions a), b), and c) respectively.

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Answer:

Z+12a−z+8+12−+8

Step-by-step explanation:

Z+8−6(z−2a)+5z

+8−6(−2)+5

Z+8−6(−2a+z)+5z

+8−6(−2+)+5

Z+8−6(−2a+z)+5z

+8−6(−2+)+5

Z+8+12a−z+8+12−

Answer:

Z + 8 + 12a − z

12a + 8

Step-by-step explanation:

The relationship between the heights of two right circular cylinders with the same volume. The radius of the second cylinder increases, its height must decrease to maintain the same volume as the first cylinder.

In order to find the volume of a cylinder, we use the formula V = πr²h, where V represents the volume, r is the radius, and h is the height of the cylinder.

Given that both cylinders have the same volume, let's denote their volumes as V1 and V2, their radii as r1 and r2, and their heights as h1 and h2. The given information states that r2 > r1. We can now write the equations for the volumes of the two cylinders:

V1 = π(r1)²h1
V2 = π(r2)²h2

Since V1 = V2, we can set the two equations equal to each other:

π(r1)²h1 = π(r2)²h2

We can now solve for the relationship between the heights of the two cylinders:

h1/h2 = (r2/r1)²

This equation shows that the ratio of the heights of the two cylinders is equal to the square of the ratio of their radii. As the radius of the second cylinder is greater than the radius of the first (r2 > r1), the height of the second cylinder will be less than the height of the first (h2 < h1). In other words, as the radius of the second cylinder increases, its height must decrease to maintain the same volume as the first cylinder.

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Answer:

216

Step-by-step explanation:

15^2=225

3^2=9

225-9=216

Answer: False

Step-by-step explanation:

Researchers typically report the adjusted R-squared value in addition to the regular R-squared value, not because they lack confidence in the actual R-squared, but because the adjusted R-squared provides additional information about the goodness of fit of a statistical model. The regular R-squared value measures the proportion of the variance in the dependent variable that is explained by the independent variables in the model. However, it can be biased and increase as more predictors are added to the model, even if the additional predictors do not contribute significantly to the prediction.

The adjusted R-squared, on the other hand, takes into account the number of predictors in the model and penalizes the addition of irrelevant predictors. It provides a more conservative measure of the goodness of fit by adjusting for the number of predictors and the sample size. Researchers often use the adjusted R-squared to evaluate and compare different models with varying numbers of predictors or to assess the overall explanatory power of a model while considering its complexity.

In summary, researchers report the adjusted R-squared value to address the limitations of the regular R-squared and to provide a more accurate assessment of the model's goodness of fit.

Mowing Andre's uncle's lawn paid better than the other two jobs.

The job that paid better compared to the others is mowing Andre's uncle's lawn. He earned $30 for 1 hour of work, which is more than the $10 he earned for mowing a neighbor's lawn for 1 hour or the $15 he earned each hour for mowing the community's lawn for 2 hours.

The thinking behind this is basic. The rate of pay for mowing Andre's uncle's lawn was higher than the rate of pay for the other two jobs.

This is still up in the air by isolating the sum earned by the number of hours worked.

For the uncle's lawn, the rate was $30/1 hour = $30 each hour.

For the neighbor's lawn, the rate was $10/1 hour = $10 each hour. Furthermore, for the community center's lawn, the rate was $30/2 hours = $15 each hour.

Therefore, Mowing Andre's uncle's lawn paid better compared to the next two jobs.

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Answer:

\( {10}^{32} {10}^{6} = {10}^{38} \)

Answer:

The present age of the mother is 40 years

Step-by-step explanation:

Let the age of the mother be M and that of the daughter D. Given that the mother is now 2 1/2 times old as her daughter Mary then

M = 2.5D

Given that Four years ago the ratio of their ages was 3:1

The mother's age 4 years ago was

= M - 4

and that of the daughter then was

= D - 4

Hence

(M - 4)/(D - 4) = 3/1

Cross multiply

M - 4 = 3(D - 4)

M - 4  = 3D - 12

M = 3D - 12 + 4

M = 3D - 8

Substitute into the first equation

3D - 8 = 2.5D

3D -2.5D = 8

0.5D = 8

D = 8/0.5

= 16 Years

M = 2.5D

M = 2.5 * 16

= 40 Years

Step-by-step explanation:

Refer to pic...............

Answer:

GH = 12, JH = 8, GJ = 10.6, your answer is the first choice

Step-by-step explanation:

Mid-segment theorem basically means it's like cut in half so just apply that logic to the entire thing:

DG = GF and IH = HF

DI length, 24, divided by two, because half, equals 12 so 12 = GH

JH is DF divided by two so basically 16/2 which is 8 which also equals DG

GJ = IH because like I said half half theory

Essentially, all the parallel lines are halves of each other.

GH = 12, JH = 8, GJ = 10.6, your answer is the first choice

Answer:

B

Step-by-step explanation:

Gl on your finals

Answer:

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The area of the sector with a central angle of 60 degree and radius of 8 units is approximately 33.5 sqaure units.

A sector of a circle is simply part of a circle made up of an arc and two radii.

The area of a sector of a circle can be expressed as:

Area = (θ/360º) × πr²

Where θ is the sector angle in degrees, and r is the radius of the circle.

From the image:

Measure of central angle θ = 60 degrees

Radius r = 8 units

Plug these values into the above formula and solve for the area:

Area = (θ/360º) × πr²

Area = (60°/360°) × π × 8²

Area = 1/6 × π × 64

Area = 1/6 × π × 64

Area = 33.5 sqaure units.

Therefore, the area is approximately 33.5 sqaure units.

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Weighted average is the average of a set using different weight for each element in the set. The final grade when homework and test scores are 59 and 64 is 62.35

Given that:

\(Homework = 59\)

\(Test = 64\)

The test score is greater than the homework score. So, the test will be weighted using 67%, while the homework will be weighted using 33%.

The final grade is calculated as follows:

\(Grade = 67\% \times Test + 33\% \times Homework\)

So, we have:

\(Grade = 67\% \times 64 + 33\% \times 59\)

\(Grade = 42.88 + 19.47\)

\(Grade = 62.35\)

Hence, the final grade is 62.35

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Answer:

7 large boxes an 2 small boxes

Step-by-step explaination

its obligatory to be 5 large boxes so i first did 350 * 5 =1750

then i just added a small box with a large until it gave the result

56/120

Step-by-step explanation:

The body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

To express the body mass of the man's two children in terms of their father's body mass, we can use the given ratios.

Let the body mass of the man be x kg.

The first child's body mass is five-sixths of their father's body mass:

Body mass of the first child = (5/6) * x

= 5x/6 kg.

The second child's body mass is four-fifths of their father's body mass:

Body mass of the second child = (4/5) * x

= 4x/5 kg.

Therefore, the body masses of the two children in terms of their father's body mass, x, are:

First child's body mass = 5x/6 kg

Second child's body mass = 4x/5 kg

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Answer:

Take two points and connect them with a line.

Step-by-step explanation:

We can take the points (0,-4) and (1,-\(\frac{5}{3}\)). Now we can connect the two points with a line and we get our graph.

Answer:

(See the third picture)

Step-by-step explanation:

Start by turning everything to slope-intercept form:

\(7x-3y=12\\-3y=-7x+12\\y=\frac{7}{3}x-4\)

Next, plot down the y-intercept on the graph (which in this case is -4):

(The y-intercept is the point where a line crosses the y-axis, thus, the y-intercept must be (0, y))

(See the first picture)

Next up, plot down the next point with the slope, recall that the graph is rise over run, or more specifically, y over x.

The slope is 7/3, the rise is 7 and the run is 3, so to draw the next point, start at your y-intercept, and go 7 units up, and 3 to the right, the next point should look like this:

(See the second picture)

And finally, draw a straight line across both points:

(See the third picture)

Answer:

A

Step-by-step explanation:

Given

6 (\(\frac{x}{2}\) + 4) ≥ 9 ( distribute the parenthesis by 6 )

3x + 24 ≥ 9 ( subtract 24 from both sides )

3x ≥ - 15 ( divide both sides by 3 )

x ≥ - 5 → A

Answer:

A

Step-by-step explanation:

First, divide both sides by 6:

6(x/2 + 4) ≥ 9

x/2 + 4 ≥ 9/6

x/2 + 4 ≥ 3/2

Now, subtract 4 from both sides:

x/2 ≥ 3/2 - 4

x/2 ≥ -5/2

Finally multiply both sides by 2:

x ≥ (-5/2) * 2

x ≥ -5

The answer is thus A.

~ an aesthetics lover

It costs $27 dollars

3x3=9  9x3 (Three means the dollars) = $27

Therefore your answer is $27

He paid $27 dollars for the tennis balls.

Answer:

The data shows a postive correlation.

Step-by-step explanation:

The required area is 12 cm².

A rectangle is a type of parallelogram having equal diagonals.

All the interior angles of a rectangle are equal to the right angle.

The diagonals of a rectangle do not bisect each other.

The given shape is there on a centimeter square grid.

The side of each square is 1 cm.

Then, it is clear from the figure that it consists of a rectangle of dimensions 4 × 2 and one triangle having height h = 2 cm and base b = 4cm.

Now, the area of the given shape is the sum of the area of the rectangle and the triangle.

It can be written as,

Area of the shape  = Area of rectangle + Area of triangle

                               = length × breadth + 1/2 × base × height

                               = 4 × 2 + 1/2 × 4 × 2

                               = 12

Hence, the area of the given shape is 12 cm².

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The required area of the given figure is 12 squared units.

Given that,
A figure has been shown we have to determine the area of the figure,

Surface area is defined as the measure of a region or surface is called as surface area.

Here,
The area of the given figure is given as,
Area = area of the rectangle + area of the larger triangle - area of the small triangle.
Area = 2 × 4 + 1/2 [6 × 2] - 1/2 [2×2]
Area = 8 + 3×2  - 2
Area = 8 + 6 - 2
Area = 14 - 2
Area = 12 squared units.

Thus, the required area of the given figure is 12 squared units.

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D.

If Tony and Michael ate 26 you take that away from 60 which equals 34.

           26-60=34

To find out how many bags of each color should be made, we need to first find the total ratio of bags, which is 3+4+5+8=20.

Next, we find the number of bags in each color by dividing the color's ratio by the total ratio and multiplying by the total number of bags to be made (2000):

   Red bags: (3/20) * 2000 = 300 bags

   White bags: (4/20) * 2000 = 400 bags

   Yellow bags: (5/20) * 2000 = 500 bags

   Black bags: (8/20) * 2000 = 800 bags

So the factory should produce 300 red bags, 400 white bags, 500 yellow bags, and 800 black bags.

The cosine of angle A in the figure is given as follows:

cos(A) = 0.6.

The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:

For angle A, we have that:

Hence the cosine of angle A is given as follows:

cos(A) = 6/10

cos(A) = 0.6.

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The expression that completes the function b(x)​ is b(x) = 33741 * (1.028)^x

The given parameters are:

Initial value, a = 33741  

Rate, r = 2.8%

The cost of tuition each year since 2015 is represented as

B(x) = a * (1 + r)^x

This gives

B(x) = 33741 * (1 + 2.8%)^x

Evaluate

b(x) = 33741 * (1.028)^x

Hence, the expression that completes the function b(x)​ is b(x) = 33741 * (1.028)^x

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Complete question

A study estimates that the cost of tuition at a university will increase by 2.8% each year. The cost of tuition at the University in 2015 was $33,741 the function b(x) , models the estimated tuition cost , where x is the number of years since 2015.

Find the expression that completes the function b(x)​

Answer:

48 miles per hour

Step-by-step explanation:

Distance = 264 miles

Time = 5.5 hours

Speed = x

Formula for speed --> Speed = Distance/Time

Speed = 264miles/5.5hours

Speed is = 48 miles/hr

Answer:

18.84

Step-by-step explanation:

Circumference = 2 * PI * R

2 * 3.14 * 3 = 18.84