The numbered disks shown are placed in a box and one disk is selected at random. Find the probability of selecting a 5 given that a blue disk is selected.

Answer:

(this is easy)

n x 3 = 48

48/3 = n

n= 16

Hannah is 16 years old.

Step-by-step explanation:

Check the picture below.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2 \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{9}\\ a=\stackrel{adjacent}{4\sqrt{2}}\\ o=\stackrel{opposite}{a} \end{cases} \\\\\\ (9)^2= (4\sqrt{2})^2 + (a)^2\implies 81=4^2(2)+a^2\implies 81=32+a^2 \\\\\\ 49=a^2\implies \sqrt{49}=a\implies \boxed{7=a}\)

As the degrees of freedom (DF) increase, the t distribution approaches the normal distribution. Therefore, the correct answer option is: C. normal distribution.

The degrees of freedom (DF) in a sample are typically used to correct a possible bias that exists between the alternative and null hypotheses because they are the maximum number of logically independent numerical values (data points) in the final calculation of a statistical problem.

A normal distribution is sometimes referred to as the Gaussian distribution and it can be defined as a probability distribution that is continuous and symmetrical on both sides of the mean, which shows that all data near the mean have a higher frequency than data that are far from the mean.

In this context, we can reasonably infer and logically deduce that the t-distribution generally approaches the normal distribution as the degrees of freedom (DF) increase.

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The conditions that must hold for inferential procedures to be valid for this scenario are:

(b) the two sample groups must be independent of each other, (c) the data distribution for both men's and women's hemoglobin levels must be normally distributed or each sample size must be larger than 30, and (d) the observations within each sample must be independent.

(b) The two sample groups must be independent of each other because the samples should not be related in any way that could influence the results.

(c) The data distribution for both men's and women's hemoglobin levels must be normally distributed or each sample size must be larger than 30. If the data is not normally distributed, then the Central Limit Theorem can be applied if the sample size is greater than 30.

(d) The observations within each sample must be independent to avoid bias in the results. This means that each observation should not be influenced by any other observation.

(a) The expected count for each level of the categorical variable must be at least 5. This condition is relevant for Chi-square tests of independence, which are not being used in this scenario.

(e) There must be 10 successes and 10 failures in each sample. This condition is relevant for tests of proportions, which are not being used in this scenario.

So b,c and d are correct options.

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Answer:

Step-by-step explanation:

-150

Answer: -15x + 30

Step-by-step explanation:

-3(5x) = -15x (positive x negative = negative)

-3(-10) = 30 (negative x (negative = positive)

(same symbols = positive)

(Different symbols = negative)

Answer:

  (c)  (4.92, -0.91)

Step-by-step explanation:

The conversion shown in the attached uses the complex number features of the calculator, so the y-coordinate is shown as an imaginary value. Rounded to 2 decimal places the conversion is ...

  (r; θ) ⇔ (x, y)

  (5; 6.1) ⇔ (4.92, -0.91)

__

The correct answer choice can be made without the use of technology. The sum of the magnitudes of the values of x and y must not be less than r, eliminating the first two choices. The angle 6.1 radians is near the angle 6.28 radians (2π), so is almost 360°. It will be a 4th-quadrant angle, so its y-component will be negative (eliminating the last choice).

The only viable choice for polar coordinates of radius 5 and angle 6.1 radians is the third choice: (4.92, -0.91).

__

Additional comment

The angle given has no units, so we assume it is given in radians. A calculator can only give a proper answer if it is set to radians mode for angles.

To find all x ∈ zp such that x^2 ≡ 1 (mod p), we can use the fact that (−1)^2 ≡ 1 (mod p) and (1)^2 ≡ 1 (mod p). Therefore, x ≡ 1 (mod p) and x ≡ −1 (mod p) are the only solutions.

If p = 2, then zp = {0, 1} and we can check that 1^2 ≡ 1 (mod 2) and (−1)^2 ≡ 1 (mod 2), which means that the same solutions as above apply. However, in this case, −1 ≡ 1 (mod 2), so the two solutions collapse into a single solution x ≡ 1 (mod 2). This is the special property of p = 2.


Given that p is prime, we want to find all x ∈ Zp such that x^2 ≡ 1 (mod p).

By definition, x^2 ≡ 1 (mod p) if and only if p divides (x^2 - 1). Now, we can rewrite x^2 - 1 as (x - 1)(x + 1). Since p is prime, it must either divide (x - 1) or (x + 1).

Case 1: p divides (x - 1)
In this case, x ≡ 1 (mod p).

Case 2: p divides (x + 1)
In this case, x ≡ -1 (mod p).

So, the possible values for x are 1 and -1 (mod p). For any prime p, these are the only two solutions.

For the special case when p = 2, we have x^2 ≡ 1 (mod 2). The solutions are x ≡ 1 (mod 2) and x ≡ -1 (mod 2). Since -1 is congruent to 1 (mod 2), there is only one unique solution for x in this case, which is x ≡ 1 (mod 2).

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Answer:

value = 8

Step-by-step explanation:

when a paired-samples t test is used by this researcher we will write out the hypothesis as follows

H0: μd ≤ 8  ( null )

Ha: μd >  8 ( alternate )

Given the above Hypothesis

If a paired-sample T test is used by the researcher  the value that would be at the center of the comparison will be 8

Step-by-step explanation:

since 1 yard =3feet

then 100yards= 300feet

which means 100yards=300feet=12seconds

let B be the number of feet in 8seconds

if 300feet=12seconds

then B feet= 8 seconds

if we cross multiply

300×8=12×B

2400=12B

B=2400/12

B= 200feet

OR

put it in ratio

feet/it's sec= feet/it's sec

300/12=B/8

then cross multiply to get your answer.

Answer: 11 represents the extra amount of money he gets.

Step-by-step explanation: I say this because for example, the 11 can represent how much money he gets for being present at work. 11 could also represent the extra money he earns.

The best interpretation of the number 11 in the equation is that 11 represents the extra amount of money he gets.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation.

Given data the amount of money M , in dollars, Paul earns can be represented by the equation M=12.5h+11, where h is the number of hours paul works.

Now , M=12.5h+11,

On comparing with striaght line equation we can say that the slope is 12.5

So, number 11 in the equation represents the extra amount of money he gets for being present at work.

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Okay, it seems like you want to analyze a sample of 16 babies based on their weight.

The information you provided states that the Center for Disease Control and Prevention reports that 25% of baby boys aged 6-8 months in the United States weigh more than 20 pounds.

However, you haven't mentioned the specific question or analysis you want to perform on the sample. Could you please clarify what you would like to know or do with the given information?

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The marginal propensity to consume (MPC) for Australia in 2021, when total income (Y) is 10, is 0.3.

The consumption function for Australia in 2021 is given as C = 0.0052 + 0.3Y + 20, where C represents the total consumption and Y represents the total income. To calculate the MPC, we need to determine how much of an increase in income is consumed rather than saved. In this case, when Y = 10, we substitute the value into the consumption function:

C = 0.0052 + 0.3(10) + 20

C = 0.0052 + 3 + 20

C = 23.0052

Next, we calculate the consumption when income increases by a small amount, let's say ΔY. So, when Y increases to Y + ΔY, the consumption function becomes:

C' = 0.0052 + 0.3(Y + ΔY) + 20

C' = 0.0052 + 0.3Y + 0.3ΔY + 20

To find the MPC, we subtract the initial consumption (C) from the new consumption (C') and divide it by the change in income (ΔY):

MPC = (C' - C) / ΔY

MPC = (0.0052 + 0.3Y + 0.3ΔY + 20 - 23.0052) / ΔY

Simplifying the equation, we can cancel out the terms that don't involve ΔY:

MPC = (0.3ΔY) / ΔY

MPC = 0.3

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The correct answer is a. less than .05. This can be answered by the concept of null hypothesis.

The F ratio in ANOVA is calculated by taking the ratio of the variance between groups to the variance within groups. The F ratio is then compared to critical values from the F table to determine statistical significance. The critical values in the F table represent the values that would be expected to occur by random chance at a certain level of significance, typically 0.05 or 0.01.

If the null hypothesis being tested by ANOVA is false, it means that there is a significant difference between the means of the groups being compared. This would result in a larger F ratio, indicating greater variability between groups relative to within groups. When the obtained F ratio exceeds the value reported in the F table as the 95th percentile, it means that the obtained F ratio is larger than 95% of the possible F ratios that could occur by random chance.

Since the critical values in the F table represent the values that would be expected to occur by random chance at a certain level of significance, if the obtained F ratio exceeds the value reported in the F table as the 95th percentile, it would mean that the result is statistically significant at the 0.05 level of significance (or smaller). In other words, the probability of obtaining an F ratio that exceeds the value reported in the F table as the 95th percentile is less than 0.05.

Therefore, the correct answer is a. less than .05.

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Answer:

y = 1000 x .30 (+ 1000)

Step-by-step explanation:

since it grows by 30%, you multiply .30 (the decimal version of 30%) and 1000 (your initial amount) to find how much it grows. Then you add $1000 at the very end, because that is how much you started with.

The required equation is b = 1000 × 0.7^t where b is the amount after 't' years.

"It is statement which consists of equal symbol between two mathematical expressions."

"It is the ratio that can be expressed as a fraction of 100. "

"f(t) = a(1 + r)^t, where 'a' is the initial value, r is the growth rate and t is time period

For given example,

"A" invest  $1000 in a friend's new business.

Value of the investment growing at a rate of 30%

30 percent = 30/100

                  = 0.3

So, the growth rate (r) = 0.3

a = 1000 dollars

Using the formula of exponential growth the amount in business after 't' years would be,

b = 1000 (1 - 0.3)^t

b = 1000 × 0.7^t

Therefore, the required equation is b = 1000 × 0.7^t

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The measure of each angle formed by the three support beams for a bridge is 45 degrees.

The question states that three support beams for a bridge form a pair of complementary angles. Complementary angles are two angles that add up to 90 degrees.

Let's denote the angles as Angle A and Angle B. Since the angles are complementary, we can set up the following equation:

Angle A + Angle B = 90 degrees.

To find the measure of each angle, we need to divide 90 degrees by 2 since there are two angles.

Angle A = Angle B = 90 degrees / 2 = 45 degrees.

Therefore, each angle measures 45 degrees.

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The measure of each angle is 45 degrees.

To find the measure of each angle, we need to understand what complementary angles are. Complementary angles are two angles that add up to 90 degrees.

In this case, we have three support beams for a bridge that form a pair of complementary angles. Since the angles are complementary, their sum is 90 degrees.

Let's assume the measure of one angle is x degrees. The other angle will be (90 - x) degrees, as their sum is 90 degrees.

Since the three support beams form a pair of complementary angles, we can set up the equation:

x + (90 - x) = 90

By simplifying the equation, we have:

90 - x + x = 90

90 = 90

This equation is true for any value of x. Therefore, the measure of each angle can be any value, as long as their sum is 90 degrees.

So, the measure of each angle is not fixed, but it will always add up to 90 degrees.

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Answer:

Your answer: 24/96 = (24 ÷ 24)/(96 ÷ 24) = 1/4

Your answer is: 1:4

Step-by-step explanation:

Hope this helped : )

Answer:

1:4 is your ans

Step-by-step explanation:

please mark as brainliest

The expression with a variables is 7x²y when x  is 3 and y is 9 is 567.

Given that,

The expression with a variables is 7x²y.

We have to find the value when x  is 3 and y is 9.

Any thing that has multiple possible values is considered a variable. What does that mean, then? A variable is anything that could possibly change. Age, for example, might be considered a variable because it might signify different things to different people or to the same person at different periods. A person's nationality can function similarly by having a value assigned to it.

By substituting in the expression we get,

7(3)²(9)

7×9×9

567

Therefore, the expression of variables 7x²y when x  is 3 and y is 9 is 567.

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In this series, the common ratio is r = 1/16, which is between -1 and 1. Therefore, the series is convergent.

This is a geometric series and can be expressed as S = 1 + (1/16)2^n. The series is convergent if the common ratio (r) is between -1 and 1. In this series, the common ratio is r = 1/16, which is between -1 and 1. Therefore, the series is convergent.

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The variable that fits this description is a discrete variable. Discrete variables are often used in statistics and data analysis to describe populations or samples. They are important for identifying patterns and relationships in data and can be used to make predictions or draw conclusions.

A discrete variable is a type of variable that takes on distinct and separate values or categories. These values are typically counted in whole numbers, such as the number of children in a family, the number of cars in a parking lot, or the number of pets in a household.

In contrast, continuous variables can take on any value within a range, such as height, weight, or temperature. These variables are measured on a continuous scale and can take on fractional or decimal values.

Examples of discrete variables include the number of students in a class, the number of coins in a piggy bank, and the number of days in a month. While these variables can take on different values, they are always counted in whole numbers and are not measured on a continuous scale.

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Answer:

$48.15

Step-by-step explanation:

Take 45 and multiply it by 0.07 and you get 3.15. Add that number to 45 and you get 48.15 as your answer

The height of Jeremy is 159 cm.

To find the height of Jeremy:

So,

Then, Jeremy = 135 + 24 = 159 cm.

Therefore, the height of Jeremy is 159 cm.

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Answer:

I'm pretty sure the answer is B.

Step-by-step explanation:

so you multiply 3x4 and get 12. Then you multiply 5x11 and get 55. last but not least multiply 12 and 55 and get 660 so yeah hope it helps

Answer:

1080 total inches of ribbon. 60 pieces of ribbon can be cut.

Step-by-step explanation:

Firstly, the dressmaker has 15 rolls of ribbon that are 6 feet in length. Multiply those to see how many feet in total, 90. Then multiply this by 12 (there are 12 inches in a foot) to get the amount of total inches: 1080.

This is the answer to the question below the problem.

To answer the bigger question at hand:

You would need to take 1080 divided by 18 to find how many pieces the dressmaker can cut. She can cut exactly 60 pieces from her 15 rolls of ribbon.

Average is a formula for the typical amount of tickets purchased per school student.

average = [(tickets1)×(class1)) + (tickets2)×(class2) × (tickets3) × (class3)] / [(class1) + (class2) + (class3)]

For the stated question-

Thus,

The average is a formula for the typical amount of tickets purchased per school student.

average = [(tickets1)×(class1)) + (tickets2)×(class2) × (tickets3) × (class3)] / [(class1) + (class2) + (class3)]

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Answer:

30

Step-by-step explanation:

Evaluate 3* 5 first , that is

3* 5 = 3² + 5 = 9 + 5 = 14 , then

4* 14

= 4² + 14

= 16 + 14

= 30

Answer:

-1.25

Step-by-step explanation:

When -8 is divided by 6.4 we get -1.25.

Use the concept of division defined as:

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groupings. When dividing numbers, we divide a bigger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.

Here we have to find the number when,

-8 divided by 6.4

It can be written as,

-8/6.4

Multiply and divide 10 on both the numerator and denominator,

-80/64

Now divide 80 by 64 then attach the negative sign in the quotient.

The division is attached below.

Hence,

The required number is -1.25.

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Answer:

y=-2x^2+10x-12

Step-by-step explanation:

graph is shown in image below

(-6,-5), (-2,3), (2,-5), (6,3) are the ordered pairs given on the graph.

In mathematics, a transformation is a process that changes the position, size, or orientation of a geometric shape or figure. The term is used in various branches of mathematics, including geometry, algebra, and calculus.

In geometry, transformations include translations, rotations, reflections, and dilations. A translation involves moving a shape a certain distance in a certain direction, while a rotation involves rotating a shape around a fixed point. A reflection involves flipping a shape over a line, and a dilation involves stretching or shrinking a shape by a given scale factor.

In algebra, transformations can involve changing the form of an equation, such as solving for a variable, transforming an equation into a different coordinate system, or solving a system of equations.

In calculus, transformations can involve changing the form of a function, such as finding its derivative or integral, or transforming a function from one coordinate system to another.

To find the ordered pairs that are on the transformations of the function, we can apply the transformations to the original point (-2, -1) to obtain the points on each transformation.

y = f(x-4) - 4: If we apply the x-4 transformation to the x-coordinate of the original point, we get -2-4 = -6. So, the point is (-6, f(-6) - 4).

y = f(x-4) + 4: The x-coordinate of the point is -6, so the point is (-6, f(-6) + 4).

y = f(x+4) - 4: If we apply the x+4 transformation to the x-coordinate of the original point, we get -2+4 = 2. So, the point is (2, f(2) - 4).

y = f(x+4) + 4: The x-coordinate of the point is 2, so the point is (2, f(2) + 4).

So, the ordered pairs that must be on each of the transformations of f(x) are:

y = f(x-4) - 4: (-6, f(-6) - 4)

y = f(x-4) + 4: (-6, f(-6) + 4)

y = f(x+4) - 4: (2, f(2) - 4)

y = f(x+4) + 4: (2, f(2) + 4)

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Answer:

a

Step-by-step explanation:

1/3 is one third and times by 30