A function is blank a relation
*always
*sometimes
*never

The z-score for Boris's height of 75 inches is approximately 1.63

To find the z-score for Boris, we can use the formula:

z = (x - μ) / σ

where:

Plugging in the values:

z = (75 - 67) / 4.9

z = 8 / 4.9 = 1.63

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The percentage of women that have heights between 64 and 66 inches is 42.06%

The third quartile is 65.1875 inches

Part a

Given: mean=63.5 inches

std. deviation=2.5 inches

To find percentage: we calculate probability and convert to percentage

P(64<X<66) would mean

Z statistic=64-63.5/2.5=0.2

                 =66-63.5/2.5=1

From Z table, we find corresponding probability values.

Therefore, P(64<X<66)=P(0.2<Z<1)=0.84134-0.42074

                                                                     =0.4206

Thus percentage=0.4206*100

                           =42.06%

Part b

Finding the third quartile, Q3

Q3=mean+(0.675)*std. dev

Q3=63.5+(0.675*2.5)

=65.1875 inches

Hence, the third quartile is 65.1875 inches  

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Answer:

25.9 years

Step-by-step explanation:

The half life of an isotope is related to the actual amounts by the equation:

N = Ni*(1/2)^(t/HL)

where N and Ni are the final and initial (Ni) amounts, t is the time (in years for this problem) and HL is the half-life, in years.

In this problem, we can write:

100 = 360*(1/2)^(x/14)

I'll reduce this to:

1 = 3.6*(1/2)^(x/14)

This can be solved by taking the log of both sides.

x = 25.87 or 25.9 years

Answer:

two

Step-by-step explanation:

just took the quiz

Answer:

two

explanation:

took the test

Given that $OF = 9$ and $OF' = 12,$ where $F$ and $F'$ are the foci of the ellipse, we can determine the lengths of the major and minor axes.

In an ellipse, the sum of the distances from any point on the ellipse to the two foci is constant. This property is expressed by the equation:

$$PF + PF' = 2a,$$

where $P$ is any point on the ellipse and $a$ is the semi-major axis. In our case, $P = O,$ and since $OF = 9$ and $OF' = 12,$ we have:

$$9 + 12 = 2a,$$

$$21 = 2a.$$

Therefore, the semi-major axis $a$ is equal to $\frac{21}{2} = 10.5.$

The distance between the center of the ellipse and each focus is given by $c,$ where $c$ is related to $a$ and the semi-minor axis $b$ by the equation:

$$c = \sqrt{a^2 - b^2}.$$

We can solve for $b$ using the distance to one focus:

$$c = \sqrt{a^2 - b^2},$$

$$c^2 = a^2 - b^2,$$

$$b^2 = a^2 - c^2,$$

$$b = \sqrt{a^2 - c^2}.$$

Substituting the known values:

$$b = \sqrt{10.5^2 - 9^2},$$

$$b = \sqrt{110.25 - 81},$$

$$b = \sqrt{29.25},$$

$$b \approx 5.408.$$

Therefore, the semi-minor axis $b$ is approximately $5.408.$

Finally, we can determine the lengths of the major and minor axes:

The major axis $\overline{AB}$ is twice the semi-major axis, so $\overline{AB} = 2a = 2(10.5) = 21.$

The minor axis $\overline{CD}$ is twice the semi-minor axis, so $\overline{CD} = 2b = 2(5.408) \approx 10.816.$

Therefore, the major axis $\overline{AB}$ is $21$ units long, and the minor axis $\overline{CD}$ is approximately $10.816$ units long.

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Given that v · w = 4, ||v × w|| = 2, and the angle between v and w is denoted as θ, we are asked to find the value of tan θ.

We can use the properties of the dot product and the cross product to find the value of tan θ. The dot product of two vectors can be expressed as the product of their magnitudes and the cosine of the angle between them:

v · w = ||v|| ||w|| cos θ

In our case, v · w = 4, so we have:

4 = ||v|| ||w|| cos θ

The magnitude of the cross product of two vectors can be expressed as the product of their magnitudes and the sine of the angle between them:

||v × w|| = ||v|| ||w|| sin θ

Substituting the given value ||v × w|| = 2, we have:

2 = ||v|| ||w|| sin θ

Now we can solve for tan θ by dividing the equation with sin θ by the equation with cos θ:

tan θ = (||v|| ||w|| sin θ) / (||v|| ||w|| cos θ)

= sin θ / cos θ

Using the trigonometric identity tan θ = sin θ / cos θ, we can simplify further:

tan θ = 2 / 4

= 1/2

Therefore, tan θ is equal to 1/2.

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Answer:

11. x and y equal 35

12 - x = 64 and y=116

Step-by-step explanation:

For #11 they give you an angle (110) and they tell you that the two sides are congruent. If the two sides are congruent then the opposite angles are congruent. so x and the other missing angle are congruent. If a triangles sides add up to 180 we have to subtract 110 from 180 and divide that by 2

180-110=70

70/2 so x and the other missing angle equal 35

now to find y, well the angle equal to 35 and y are vertical angles so they are congruent with each other so x and y equal 35

For #12 they give you an angle (52) and tell you that two sides are congruent, meaning the opposite angles are also congruent. So for this one we do the same thing subtract 52 from 180 and divide that by 2

180-52=128

128/2=64 so y and the other missing angle in the triangle equal 64

to find x we look at y and see that they are supplementary angles so they will add up to 180 so to find x we subtract 64 from 180

180-64=116

so x = 64 and y=116

have a great day :D

Answer:

X And Y Equal To 110

Step-by-step explanation:

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Answer:

Add more point

Step-by-step explanation:

Answer:

\({ \tt{ - 1 \frac{7}{8} \div \frac{3}{4} }} \\ \\ = { \tt{ - \frac{15}{8} \div \frac{3}{4} }} \\ \\ = { \tt{ - \frac{15}{8} \times \frac{4}{3} }} \\ \\ = { \tt{ - \frac{60}{24} }} \\ \\ = { \tt{ - \frac{5}{2} }} \\ \\ = { \tt{ - 2 \frac{1}{2} }}\)

Answer: Option 4 (Hexagon)

Step-by-step explanation:

A equilateral triangle, square and hexagon can be used to form a tessellation.

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Here, we are required to determine at what value of x for x>0 does the line tangent to the graph of f at x have slope 2 of a function

x = 2.29

A line tangent to the graph of f is given by the derivative of the function, f (i.e f')

However, this derivative has been provided in the question as function

f′(x)=0.1x+e(0.25x).

The line tangent to the graph of f will therefore have a slope of 2 at point f′(x) = 2

Therefore, since f′(x) = 2 and f′(x)=0.1x+e(0.25x)

We can then say; 2 = 0.1x + e(0.25x).

This evaluation can then be carried out by the use of a graphing calculator and the value of x (for x > 0) is gotten to be;

x = 2.29

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Answer:

it's law

Step-by-step explanation:

i think it is law of mathematics. isn't it?

The surfaces described by the given vector equations are:

1.The surface is a hyperbolic paraboloid.

2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.

3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.

4.The surface is a twisted cylinder along the y-axis.

A vector equation of a surface in three-dimensional space is a function that maps a pair of parameters, say u and v, to a three-dimensional point in space (x, y, z) represented as a vector. The vector equation can be written in the form of r(u, v) = <x(u, v), y(u, v), z(u, v)>.

In general, there are different ways to represent the same surface using vector equations. For example, the surface of a sphere of radius r centered at the origin can be represented by the vector equation r(u, v) = <r sin(u) cos(v), r sin(u) sin(v), r cos(u)>, where u is the polar angle (measured from the positive z-axis) and v is the azimuthal angle (measured from the positive x-axis).

Vector equations can be useful in studying the geometry and properties of surfaces, such as determining their tangent planes, normal vectors, curvature, and surface area. They can also be used to parametrize surfaces for numerical calculations and simulations.

The surfaces described by the given vector equations are:

1.The surface is a hyperbolic paraboloid.

2.The surface is a part of a cylinder with radius 3 and axis parallel to the y-axis.

3.The surface is a plane parallel to the xy-plane and shifted upwards by 1 unit.

4.The surface is a twisted cylinder along the y-axis.

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The value of p in the equation is - 16.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Therefore, the equation can be solved as follows:

- p / 4 + (-16) = -12

The variable to find is p. A variable is a number represented with a letter in an equation.

Hence,

- p / 4 + (-16) = -12

- p / 4 - 16 = -12

add 16 to both sides of the equation

- p / 4 - 16 = -12

- p / 4 - 16 + 16 = -12 + 16

- p / 4 = 4

cross multiply

- p = 16

Therefore,

p = -16

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Answer:

He begun with 48.

Step-by-step explanation:

48/2 = 24

24+17 = 41

Answer:

46

Step-by-step explanation:

I subtracted 17 from 41 and got 23 so if you add 23 by 23 half you get 46, so in turn Cody started out at 46.

When Danny has lots of energy, his mom tells him to do laps around the block. His block is 66 yards wide and 80 yards long. There are 292 yards are in one lap around Danny's block.

The perimeter of a rectangle is the total length or distance from its border on all sides. The perimeter of a rectangle is a linear measurement expressed in linear units such as meters, feet, inches, or meters

The block is a rectangle with 80 yd length and 66 yd width. We need the perimeter of the block, which is the perimeter of the rectangle.

P = 2L + 2W

P = 2(80 yd) + 2(66 yd)

P = 160 yd + 132 yd

P = 292 yard

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The mean and standard deviation of the scaled scores are 76.2 and 6 respectively. The correct option is A.

To find the mean and standard deviation of the scaled scores, we can use the following formulas:

Given that the mean and standard deviation of the raw scores are 51 and 5 respectively, the scaling factor is 1.2, and the constant is 15, we can calculate the mean and standard deviation of the scaled scores:

Thus, the mean and standard deviation of the scaled scores are 76.2 and 6 respectively. So the answer is option a. 76.2 and 6.

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Answer:

0.5 pounds of butter.

Explanation

X pounds for 0.25 gallons.

0.5 gallon of cream - 1 pound of butter

0.25 gallons of cream - X pounds of butter

Applying cross multiplication:

0.5X = 0.25

X = 0.25 over 0.5 or 0.25/0.5

X = 0.5

Therefor, you could make 0.5 pounds of butter with 0.25 gallons of cream.

By the 0.25 gallons of cream, we can make 0.5 pounds of butter.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given that,

It takes 0.5 gallons of cream to make 1 pound of butter.

So,

0.5 gallons of cream ⇒  1 pound of butter

Divide both sides by 2

0.5/2 gallons of cream ⇒  1/2 pound of butter

0.25 gallons of cream ⇒ 0.5 pounds of butter

Hence "By the 0.25 gallons of cream, we can make 0.5 pounds of butter".

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Answer:

16 lessons

Step-by-step explanation:

12 divided by .75 = 16

Answer:

16

Step-by-step explanation:

Answer: $85 \(\leq\) $65 + ($5)*gg

Step-by-step explanation:

$85 \(\leq\) $65 + ($5)*gg

The values are in $/month, but we'll assume 1 month is all we need to answer the question of what it would take to remain below $85/month.  The fixed ciost, $65/month, is added to the gigabyte (gg) usage of $5/gg.  (I'd prefer gb for gigabyte, but I'll stick with gg).

Together, they should be \(\leq\) $85/month, thus we get:

$85 \(\leq\) $65 + ($5)*gg

49.2 calories are in  would that contribute per serving .

What does a calorie mean ?

Carbohydrates provide 4 calories per gram.

              1 gm Carbohydrates = 4 calories

 then 12.3 gm Carbohydrates  = 12.3 * 4

                                             = 49.2 calories

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Yes, there is a relationship between advertisement expenditures and sales revenues. The fitted regression model is: Sales = 1591.28 + 3.59(Advertisement).

1. To construct a scatter plot, plot the advertisement expenditures on the x-axis and the sales revenues on the y-axis. Each data point represents one observation.
2. Use Excel to fit a linear regression line to the data by following the steps outlined in the textbook.
3. The fitted regression model is in the form of: Sales = Intercept + Slope(Advertisement). In this case, the model is Sales = 1591.28 + 3.59
4. The slope of 3.59 tells us that for every $1,000 increase in advertisement expenditures, there is an estimated increase of $3,590 in sales.
5. To determine if the slope is significant, perform a hypothesis test or check if the p-value associated with the slope coefficient is less than the chosen significance level.
6. The intercept of 1591.28 represents the estimated sales when advertisement expenditures are zero. In this case, it is not meaningful as it does not make sense for sales to occur without any advertisement expenditures.
7. The value of the regression coefficient, r, represents the correlation between advertisement expenditures and sales revenues. It ranges from -1 to +1.
8. The value of the coefficient of determination, r^2, tells us the proportion of the variability in sales that can be explained by the linear relationship with advertisement expenditures. It ranges from 0 to 1, where 1 indicates that all the variability is explained by the model.
9. To predict sales when the business spends $950,000 in advertisement, substitute this value into the fitted regression model and solve for sales. This will help determine if the model underestimates or overestimates sales.

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The t-percentile defines the boundaries of the confidence interval and is equal to the critical value of t with a positive or negative sign, depending on whether the confidence interval is one-sided or two-sided.

A t-distribution table determines the t-percentile required to construct two-sided confidence intervals. The first step in determining the t-percentile is to know the degrees of freedom and confidence level. The next step is to find the critical value of t from a t-distribution table. The t-distribution table lists values for the probability density function, cumulative distribution function, and percentile points of the t-distribution.

The table is arranged in rows and columns, with the rows corresponding to the degrees of freedom and the columns corresponding to the significance level. The critical value of t is the value that separates the central area of the t-distribution from the tails of the distribution. It is used to define the boundaries of the confidence interval. The t-value is the same as the critical value of t, but it has a positive or negative sign depending on whether the confidence interval is one-sided or two-sided. The t-percentile that is required to construct two-sided confidence intervals is given by the following steps:

Step 1: To determine the t-percentile, the degrees of freedom and confidence level are needed.

Step 2: Find the critical value of t from a t-distribution table.

(a) 95% confidence level, 15 degrees of freedom.

Using the T-Distribution Calculator with degrees of freedom (df) = 15, a 95% confidence level, the value of t is found to be 2.1318. Therefore, to construct the confidence interval, the t-value is ± 2.1318.

(b) 95% confidence level, 24 degrees of freedom.

Using the T-Distribution Calculator with degrees of freedom (df) = 24, a 95% confidence level, the value of t is 2.064. Therefore, to construct the confidence interval, the t-value is ± 2.064.

(c) 99% confidence level, 13 degrees of freedom.

Using the T-Distribution Calculator with degrees of freedom (df) = 13, a 99% confidence level, the value of t is 3.012. Therefore, to construct the confidence interval, the t-value is ± 3.012.

(d) 99.9% confidence level, 15 degrees of freedom.

Using the T-Distribution Calculator with degrees of freedom (df) = 15, a 99.9% confidence level, the value of t is found to be 3.579. Therefore, to construct the confidence interval, the t-value is ± 3.579.

The t-percentile can be found using a t-distribution table, which lists the critical value of t for different degrees of freedom and significance levels. The t-percentile defines the boundaries of the confidence interval and is equal to the critical value of t with a positive or negative sign, depending on whether the confidence interval is one-sided or two-sided.

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Answer: B) 2(x + 3) - 1

Answer:

I think its answer b

Step-by-step explanation:

in not sure what the question is asking but b is the only answer equal to 2z+5. Im not sure if thats right though. check it on m a t h way.

Answer:

Step-by-step explanation:

SAS side angle side

SSS side side side

AAA angle angle angle

Answer: 8 million people

Step-by-step explanation:

Plz brainliest

The possible outcomes of a random experiment and the probability of each outcome is called "a Probability Distribution."

A probability is a statistical formula that indicates all of the potential values and probability distributions for a random variable within a specified range.

Some characteristics regarding the Probability Distribution are-

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Answer

x = 71°

Explanation

The sum of angles in a triuangle is 180°

So, we can sum these three angles up and equate them to 180°

x - 5° + x + x - 28° = 180°

3x - 33° = 180°

3x = 180° + 33°

3x = 213°

Divide both sides by 3

(3x/3) = (213°/3)

x = 71°

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What is the nth term to this sequence 18,16,14,12 ?

Answer: 4

Explanation:

1. 18

2. 16

3. 14

4. 14

5. 12

6. 10

7. 8

8. 6

9. 4

Answer:

Hey!

The nth term for your sequence is -2!

Step-by-step explanation:

18 - 2 = 16

16 - 2 =14

And so on! (the nth term of a sequence is basically the differences between the different terms!)

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