I am clueless when it comes to math plz help if u can..

The z scores of 1.5, -0.5 and -2.0 corresponds with a raw score of 650, 450 and 300

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (x - μ) / σ

Where x = raw score, μ = mean and σ = standard deviation.

Given that σ = 100, μ = 500, hence:

a) For z = 1.5:

1.5 = (x - 500)/100

x = 650

b) For z = -0.5:

-0.5 = (x - 500)/100

x = 450

c) For z = -2:

-2 = (x - 500)/100

x = 300

The z scores of 1.5, -0.5 and -2.0 corresponds with a raw score of 650, 450 and 300

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Answer:

\(\Large \boxed{\mathrm{100\pi \ cm^2 }}\)

Step-by-step explanation:

\(\displaystyle area \ of \ circle \ = \ \pi (\frac{diameter}{2} )^2\)

\(\displaystyle A \ = \ \pi ( \frac{20}{2} )^2\)

\(\displaystyle A \ = \ \pi ( 10 )^2\)

\(\displaystyle A \ = \ 100\pi\)

Answer:

ubub

Step-by-step explanation:

Answer:

L: (4,0) and L': (2,0)

Step-by-step explanation:

Answer:

Step-by-step explanation:

I messed up on P'

I drew it as -3,3 but it should be -3,2

Which is what i wrote it as

The value of expression |2x+5| - 8y is -89 when x = -6 and y =12

Expression is a combination of numbers, variables and Operators.

The given expression is mod two x plus 5 minus eight y.

|2x+5| - 8y

This expression has addition, subtraction and multiplication operators.

Given value of x is minus six and y is equal to twelve.

x=-6 and y=12

plug in values of x and y in expression

|2(-6)+5|-8(12)

|-12+5|-96

|-7|-96

The value in mod will be always taken as positive

7-96

-89

Hence the value of expression |2x+5| - 8y is -89 when x = -6 and y =12.

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The values of A, B, and C that make the two planes parallel are:   A = (5B - C)/2and5B - 3C = |N₁||N₂|/2 and The values of A, B, and C that make the two planes perpendicular are:  A = (5B - C)/2and5B - 3C = 0.

Let's have a look at the planes. They are:

T₁ = 2x - 5y + z - 4 = 0 and T₂ = Ax + By + Cz + 10 = 0

Now we will try to solve the question using the concepts of vector and normal to the plane.

The vector and normal to the plane can be defined as follows:

A plane is a 2-dimensional surface that is defined by three points.

A normal is a vector that is perpendicular to the plane.

A vector is a quantity that has both magnitude and direction. Let's calculate the normal to both planes using the coefficients of x, y, and z in the equation of the planes.

The equation of the normal to a plane is given by:

N = ai + bj + ck where a, b, and c are the coefficients of x, y, and z in the equation of the plane.

Let's first find the normal to T₁.

The coefficients of x, y, and z are 2, -5, and 1, respectively.

Therefore, the normal to T₁ is given by:

N₁ = 2i - 5j + k

Now let's find the normal to T₂. The coefficients of x, y, and z are A, B, and C, respectively. Therefore, the normal to T₂ is given by:

N₂ = Ai + Bj + Ck

Now that we have found the normals to the two planes, we can determine if they are parallel or perpendicular based on the dot product of the two normals.

The dot product of two vectors is given by:

A.B = |A||B|cosθwhere A and B are two vectors, |A| and |B| are their magnitudes, and θ is the angle between them.

If the dot product of the two normals is zero, then the planes are perpendicular. If the dot product of the two normals is not zero, then the planes are parallel. In this case, we need to find the values of A, B, and C that make the two planes parallel or perpendicular.

Now let's find the dot product of the two normals:

N₁.N₂ = 2A - 5B + C

If the two planes are parallel, then their normals are parallel, which means that the dot product of the two normals is equal to the product of their magnitudes.

Therefore:

N₁.N₂ = |N₁||N₂|I

f the two planes are perpendicular, then their normals are perpendicular, which means that the dot product of the two normals is zero.

Therefore:

N₁.N₂ = 0

Now let's find the values of A, B, and C that make the two planes parallel or perpendicular. If the two planes are parallel, then their normals are parallel.

Therefore, the dot product of the two normals is equal to the product of their magnitudes.

Therefore:

2A - 5B + C = |N₁||N₂|I

f the two planes are perpendicular, then their normals are perpendicular.

Therefore, the dot product of the two normals is zero.

Therefore:2A - 5B + C = 0

Now let's solve the two equations for A, B, and C.

2A - 5B + C = |N₁||N₂|2A - 5B + C = 0A = (5B - C)/2

Substituting this value of A into the equation 2A - 5B + C = |N₁||N₂|, we get:

5B - 3C = |N₁||N₂|/2

Therefore, the values of A, B, and C that make the two planes parallel are:

A = (5B - C)/2and5B - 3C = |N₁||N₂|/2

The values of A, B, and C that make the two planes perpendicular are:

A = (5B - C)/2and5B - 3C = 0

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To find the answer to a triangle bisector, you can use various methods depending on the given information.

Here's a step-by-step approach using basic geometric principles:

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Answer: 7cm

Step-by-step explanation:

Using Pythagoras Theorem (Pythagorean Theorem), the equation to find the hypothenuse (side c) of a triangle is \(a^{2}\)+\(b^{2}\)=\(c^{2}\)

In this case the hypothenuse is 11 cm and side b is 6cm.

therefore, \(a^{2}\)+\(6^{2}\)=\(11^{2}\)

make a the subject \(a^{2}\) =\(11^{2}\) - \(6^{2}\)

\(a^{2}\) = 85  

a = 9.23 (nearest hundredth)

Normal probability distribution is applied to a continuous random variable. The correct option is D.

The normal probability distribution, also known as the Gaussian distribution, is a probability distribution that is commonly used in statistics and probability theory. It is a continuous probability distribution that is often used to model the behavior of a wide range of variables, such as physical measurements like height, weight, and temperature.

The normal distribution is characterized by two parameters: the mean (μ) and the standard deviation (σ). It is a bell-shaped curve that is symmetrical around the mean, with the highest point of the curve being located at the mean. The standard deviation determines the width of the curve, and 68% of the data falls within one standard deviation of the mean, while 95% falls within two standard deviations.

The normal distribution is widely used in statistical inference and hypothesis testing, as many test statistics are approximately normally distributed under certain conditions. It is also used in modeling various phenomena, including financial markets, population growth, and natural phenomena like earthquakes and weather patterns.

Overall, the normal probability distribution is a powerful tool for modeling and analyzing a wide range of continuous random variables in a variety of fields.

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The first-order maxima will be deflected at an angle of 27°.

When light passes through a transmission diffraction grating with 5000 lines per cm, the light waves diffract and interfere with each other, creating a pattern of bright and dark fringes.

The angle at which the first-order maxima occurs can be determined using the formula:

sin(θ) = \(\frac{m\lambda}{d}\)

Where θ is the angle of diffraction, m is the order of the maximum (in this case, m = 1 for the first order), λ is the wavelength of light, and d is the spacing between the grating lines.

In this case, the wavelength of light is 4.5 x 10–7 m and the grating has 5000 lines per cm, which means the spacing between the lines (d) is \(\frac{1}{5000 }\)cm. Converting d to meters, we get:

d = \(\frac{1}{(5000 * 100)}\) m = 2 x 10–6 m

Plugging these values into the formula, we can solve for θ:

sin(θ) = (1)(4.5 x 10–7)/(2 x 10–6) = 0.225

Taking the inverse sine of both sides, we find:

θ = \(sin^{-1(0.225)}\) ≈ 12.87°

However, the question asks for the deflection angle, which is measured from the incident direction to the direction of the first-order maximum. Since the grating disperses light on both sides, we need to double the angle:

θ_deflection = 2 * 12.87° ≈ 25.74° ≈ 27° (rounded to the nearest degree)

Therefore, the first-order maxima will be deflected at an angle of approximately 27°.

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Answer:

2.16 is the amount donmel has to put around each base

To calculate the accuracy of the test, we need to create a 2x2 contingency table:

Actual Positive (Meningitis)Actual Negative (No Meningitis)Test PositiveTrue Positive (TP) = 6False Positive (FP) = 3Test NegativeFalse Negative (FN) = 2True Negative (TN) = 69

From the information given, we know that there are 8 actual positive cases (people with meningitis) and 72 actual negative cases (people without meningitis). We also know that there were 3 false positive results (people who tested positive for meningitis but did not have it) and 2 false negative results (people who tested negative for meningitis but actually had it).

Using this information, we can calculate the accuracy of the test as:

Accuracy = (TP + TN) / (TP + TN + FP + FN)

Accuracy = (6 + 69) / (6 + 69 + 3 + 2)

Accuracy = 75 / 80

Accuracy = 0.9375 or 93.75%

Therefore, the accuracy of the meningitis test is 93.75%.

Answer:

meeting id is 79939285299

password is 123456a

Step-by-step explanation:

starts meeting id

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

The amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly can be calculated as follows:

Given, Principal = Rs 1200Time = 1.5 yearsInterest rate = 40% per annum, compounded quarterly

Let r be the quarterly rate of interest. Then we can convert the annual interest rate to quarterly interest rate using the following formula: \text{Annual interest rate} = (1 + \text{Quarterly rate})^4 - 1$$

Substituting the values, we get:0.40 = (1 + r)^4 - 1 Solving for r, we get:r = 0.095 or 9.5% per quarter

Now, we can use the formula for the amount of money after time t, compounded quarterly: $A = P \left( 1 + \frac{r}{4} \right)^{4t}

Substituting the values, we get:A = Rs 1200 x $\left(1 + \frac{0.095}{4} \right)^{4 \times 1.5}= Rs 1893.09

Therefore, the amount of the sum Rs 1200 for one and a half year at 40 percent of interest compounded quarterly is Rs 1893.09.

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-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

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Check the picture below.

\(\stackrel{ \textit{\LARGE Areas} }{\stackrel{\textit{front and back}}{2(12)(3)}~~ + ~~\stackrel{\textit{left and right}}{2(4)(3)}~~ + ~~\stackrel{\textit{top and bottom}}{2(12)(4)}}\implies \text{\LARGE 192}\)

An inequality that represents the number of cakes that Gulnaz can bake according to her plan is  5C+3Q<26

According to the question, we are told that Figure, C represents the number of times that Gulnaz requires eggs for baking while Q is representative of the Quiche baking times.

Gulnaz uses 26 eggs

5 eggs for each cake = 5C

3 eggs for each quiche = 3Q

Expressing this as an inequality gives:

5C + 3Q < 26

Since she requires 5 eggs for each cake and 3 eggs for each quiche and all of these are less than 26, then the inequality can be written thus 5C+3Q<26.

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Complete Question:

Gulnaz plans to use less than 26 eggs while baking. She uses 5 eggs for each cake that she bakes, and 3 eggs for each quiche that she bakes. Write an inequality that represents the number of cakes that Gulnaz can bake according to her plan.

Answer:

The distance from the sailboat to the island where the lighthouse is located is approximately 212.2 yards

Step-by-step explanation:

The distance between the sailboat and the lighthouse is found using trigonometric ratios as follows;

The given parameters are;

The distance from the sailboat to the lighthouse's light = 245 yards

The angle of elevation of angle B = An angle chosen between 25° and 45°

For simplicity, we chose, B = 30°

A right triangle formed with the height of the light house and the horizontal distance of the sailboat from the lighthouse as legs and angle B is the angle adjacent to the horizontal distance of sailboat from the light house

The hypotenuse length = The distance from the sailboat to the lighthouse's light = 245 yards

By trigonometric ratio, in the we have;

\(cos\angle B = \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length}\)

The adjacent leg length = The horizontal distance of sailboat from the light house

\(\therefore cos (30^{\circ}) = \dfrac{The \ horizontal \ distance \ between \ the \ sailboat \ and \ the \ lighthouse }{245 \ yards}\)

The horizontal distance between the sailboat and the light house = 245 × cos(30°) ≈ 212.176223927

Therefore;

The horizontal distance between the sailboat and the lighthouse ≈ 212.2 yards

Therefore, the distance from the sailboat to the island where the lighthouse is located ≈ 212.2 yards.

Answer:

93

Step-by-step explanation:

x = 4, y = 5

3(4x + 3y)

= 3(4(4) + 3(5))

= 3(16 + 15)

= 3(31)

= 93

Answer:

93

Step-by-step explanation:

4*4= 16

3*5=15

16+15= 31

31*3= 93

Approx 936 enrollment was the freshman in 2018.

In the given question, Howard university recorded an enrollment of 1060 freshman in 2019, which was a 13.2% increase over the previous record in 2018.

We have to find the freshman enrollment of 2018.

The freshman enrollment in 2019 is 1060.

Let the enrollment of the freshman in 2018 is x.

As we know that the enrollment of freshman in 2019 is 13.2% increase over the 2018.

So the expression should be

x(100+13.2)% = 1060

x(113.2)% = 1060

x(113.2/100) = 1060

1.132x = 1060

Divide by 1.132 on both side, we get

x = 936.396

x = 936 approx

Hence, approx 936 enrollment was the freshman in 2018.

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Answer:

its $2590.08

Step-by-step explanation:

Answer:

40 and 67

Step-by-step explanation:

The difference written in scientific notation is:

1.1×10⁴ - 5.6×10² = 1.044×10⁴

Here we have two numbers in scientific notation, and we want to find the difference between them, it is:

1.1×10⁴ - 5.6×10²

To find that difference, we need to find a common factor between the two numbers, we can write the first one as:

1.1×10⁴ = 110×10²

Then we can take the difference:

1.1×10⁴ - 5.6×10²

110×10² - 5.6×10² = (110 - 5.6)×10² = 104.4×10²

104.4×10² = 1.044×10⁴

That is the difference in scientific notation.

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Answer:

In fractions, each number has a 1/6 chance of occuring. In decimals, that is around 16.6 repeating percent.

Answer:

1/7

The correct answer is 1/7