what number is equal to 4 hundreds 3 tens 7 ones and 19 thousandths

Answer:

115 degrees

Step-by-step explanation:

The larger sample size or a smaller significance level would increase the power for both cases.

Given data:The heat evolved in calories per gram of a cement mixture is approximately normally distributed.The mean is thought to be 100 and the standard deviation is 2. We wish to test H0:  μ = 100 versus H1: μ ≠ 100 with a sample of n = 9 specimens.(a) If the rejection region is defined as  or , find the type I error probability.The type I error probability is the probability of rejecting the null hypothesis H0 when it is true. It is given by the significance level or alpha (α).For two-tailed tests, the rejection region is defined by two critical values or z-scores, one in each tail.The z-score for  is:z = (98.5 - 100) / (2 / √9) = -2.25The corresponding probability is P(Z ≤ -2.25) = 0.0122.The z-score for  is:z = (101.5 - 100) / (2 / √9) = 2.25The corresponding probability is P(Z ≥ 2.25) = 0.0122.The total type I error probability is the sum of the two tail probabilities: P(Type I error) = 0.0122 + 0.0122 = 0.0244(b) Find for the case where the true mean heat evolved is 103.The sample mean is still assumed to be 100, but the true mean is 103. We need to find the probability of rejecting H0 when H1 is true, that is, the power of the test. The power is given by 1 - β, where β is the type II error probability.β depends on the true mean, the sample size, the significance level, and the population standard deviation.β can be calculated using a power table or a power calculator.

For the normal distribution, β can be approximated using the non-central t-distribution with n - 1 degrees of freedom and non-centrality parameter δ = (μ - μ0) / (σ / √n).Here, μ0 = 100, μ = 103, σ = 2, n = 9, α = 0.05 (two-tailed).δ = (103 - 100) / (2 / √9) = 4.5t = t(0.975, 8, 4.5) = 2.31β = P(Type II error) = P(|t| < 2.31) = 0.1335Power = 1 - β = 0.8665(c) Find for the case where the true mean heat evolved is 105.The sample mean is still assumed to be 100, but the true mean is 105. We need to find the probability of rejecting H0 when H1 is true, that is, the power of the test. The power is given by 1 - β, where β is the type II error probability.β depends on the true mean, the sample size, the significance level, and the population standard deviation.β can be calculated using a power table or a power calculator. For the normal distribution, β can be approximated using the non-central t-distribution with n - 1 degrees of freedom and non-centrality parameter δ = (μ - μ0) / (σ / √n).Here, μ0 = 100, μ = 105, σ = 2, n = 9, α = 0.05 (two-tailed).δ = (105 - 100) / (2 / √9) = 6.75t = t(0.975, 8, 6.75) = 3.12β = P(Type II error) = P(|t| < 3.12) = 0.0457Power = 1 - β = 0.9543This value of power is smaller than the one found in part (b) because the true mean is farther away from the null value, and the sample size is fixed. A larger sample size or a smaller significance level would increase the power for both cases.

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Answer:

You cannot tell which number is greater, we need more information.

"multi-digit" does not imply how many digits each number has, therefore both numbers could be greater, for example:

3005 vs 60

OR

30 vs 645

angle has a measure equal to the sum of the the question is ∠DQS.


According to the problem, we need to find an angle whose measure is equal to the sum of the measures of ∠SQR and ∠QRS. We can use the angle addition postulate which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures.

Let's consider angle ∠DQS. This angle is formed by adjacent angles ∠SQR and ∠QRS. Therefore, according to the angle addition postulate, the measure of angle ∠DQS is equal to the sum of the measures of ∠SQR and ∠QRS.



Thus, we can conclude that the angle ∠DQS has a measure equal to the sum of the measures of ∠SQR and ∠QRS.

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Answer:

\(\dfrac{3}{11}\)

Step-by-step explanation:

Given that:

A drawer contains 6 pink and 5 yellow gloves.

Two gloves are randomly drawn without replacement.

To find:

The probability that the two gloves drawn are both pink.

Solution:

First of all, let us have a look at the formula for Probability of an event E:

Formula for probability of an event E can be observed as:

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}\)

Here, number of favorable cases are to draw 2 pink gloves out of 6, which is equal to:

\(_6C_2 = \dfrac{6\times 5}{2} = 15\)

Here, Total number of cases are to draw 2 gloves out of 11, which is equal to:

\(_{11}C_2 = \dfrac{11\times 10}{2} = 55\)

Now, the required probability is:

\(P(2\ pink\ gloves) = \dfrac{15}{55}\\\Rightarrow P(2\ pink\ gloves) = \dfrac{3}{11}\)

Therefore, the answer is:

\(\dfrac{3}{11}\)

Answer:

27y + 18z

Step-by-step explanation:

9(3y+2z)

Distribute the 9

9 * 3y + 9* 2z

27y + 18z

Answer:

2250m

Step-by-step explanation:

Step 1

Since

Hence,

tan x = 3/4

tan y=5/7

tan x = BA/ CA where BA = height and CA = distance

3/4 = h/ d

4h = 3d

h = 3d/4.......... Equation 1

tan y = BA / DA + 150m

5/7 = h/d + 150

7 × h = 5(d + 150)

7h = 5d + 750............ Equation 2

Since h = 3d/4

7(3d/4) = 5d + 750

21d/4 = 5d + 750

Multiply both sides by 4

21d = 4(5d + 750)

21d = 20d + 3000

21d -20d = 3000

d = 3000

Distance (d) = 3000m

Substitute 3000m for d in equation 1

h = 3d/4

h = 3 × 3000/4

h = 2250m

Answer:

Step-by-step explanation:

\(tangent=\dfrac{opposite}{adjacent}\)

We have:

\(\tan x^o=\dfrac{3}{4}\\\\\tan y^o=\dfrac{5}{7}\)

By definition of tangent, we have:

\(\tan x^o=\dfrac{AB}{AC}\\\\\tan y^o=\dfrac{AB}{AC+150}\)

Therefore we have the system of equations:

\(\left\{\begin{array}{ccc}\dfrac{AB}{AC}=\dfrac{3}{4}&(1)\\\\\dfrac{AB}{AC+160}=\dfrac{5}{7}&(2)\end{array}\right\)

From (1)

\(\dfrac{AB}{AC}=\dfrac{3}{4}\)             cross multiply

\(3AC=4AB\)         divide both sides by 3

\(AC=\dfrac{4AB}{3}\)

Substitute it to (2):

\(\dfrac{AB}{\frac{4AB}{3}+150}=\dfrac{5}{7}\\\\\dfrac{AB}{\frac{4AB}{3}+\frac{3\cdot150}{3}}=\dfrac{5}{7}\\\\\dfrac{AB}{\frac{4AB}{3}+\frac{450}{3}}=\dfrac{5}{7}\\\\\dfrac{AB}{\frac{4AB+450}{3}}=\dfrac{5}{7}\\\\AB\cdot\dfrac{3}{4AB+450}=\dfrac{5}{7}\)

\(\dfrac{3AB}{4AB+450}=\dfrac{5}{7}\)            cross multiply

\((3AB)(7)=(5)(4AB+450)\\\\21AB=(5)(4AB)+(5)(450)\)

\(21AB=20AB+2250\)         subtract 20AB from both sides

\(AB=2250\)

Such a tower height is rather impossible, but this is the solution.

Answer: 5

explanation:

x -5 apples = x^2 - 25

1 apple = x

cross multiply:

x (x-5) = 1 (x^2 - 25)

x^2 - 5x = x^2 - 25

the "X^2" WILL CANCEL OUT

-5x = -25

x = -25/-5

x = 5

The cost of one apple is x + 5

Let the cost of one apple be y.

So, we have the following equation

y * (x - 5) = x^2 - 25

Express x^2 - 25 as a difference of two squares

y * (x - 5) = (x + 5)(x - 5)

Divide both sides by x - 5

y = x + 5

Hence, the cost of one apple is x + 5

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Answer:

D:  No. She used the wrong slopes when graphing the equations.​

Brainliest if this was helpful :)

Answer:

d

Step-by-step explanation:

Answer:

1.0 x \(10^{6}\)

Step-by-step explanation:

Answer:

1.0*10^-6!!!

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

In this piece-wise function, there are three defined sections, each for a different range of x. To find an x where y is -9, we have to set all parts of it equal to -9.

-x,  x < -3

So, we can start by setting -x equal to -9 and solve for x:

-x = -9

x = 9

Our domain for this piece of the function is supposed to be x < -3. x = 9 does not fit into this range, meaning, in this range, there is no x for y = -9.

2x,   -3 ≤ x ≤ -2

We can set the value 2x equal to -9 and, again, solve for x:

2x = -9

x = -4.5

The solution x = -4.5 does not fit into the defined domain of -3 ≤ x ≤ -2, therefore it is not a solution.

-x^2,  x > -2

One last time, we can set -x^2 equal to -9 and solve for x:

-x^2 = -9

x^2 = 9

x = 3, x = -3

We are looking for a solution that fits into the domain, x > -2, x = -3 does not work, but x = 3 does.

In conclusion, the only solution where it fit the domain was x = 3

Answer:

x = 3

Step-by-step explanation:

x = - 3 in interval - 3 ≤ x ≤ - 2 then f(x) = 2x , so

f(- 3) = 2(- 3) = - 6 ≠ - 9

x = 9 in interval x > - 2 then f(x) = - x² , so

f(9) = - 9² = - 81 ≠ - 9

x = 3 in interval x > - 2 then f(x) = - x²

f(3) = - 3² = - 9

x = - 4.5 in the interval x < - 3 then f(x) = - x , so

f(- 4.5) = - (- 4.5) = 4.5

Thus

y = - 9 when x = 3

The inequality that is graphed on the coordinate plane is D. y ≥ -2x − 1.

An equation has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario. It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.

An inequality shows the non equal comparison of two or more numbers and variables. From the graph, a dotted intersects x-axis at unit 0.5 (0.5, 0) and Y-axis at unit -1 (0, -1).

Using the points (0.5, 0) and (0, -1), hence:y - 0 = [(-1 - 0)/(0 - 0.5)](x - 0.5)y = 2x - 1.

Since the line graph is dotted and it is shaded to the left, hence it is the inequality y ≥ -2x − 1.

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Answer:

125y

Step-by-step explanation:

5x5x5. Because cubed means to multiply the same number 3 times

The variable assigned to strgrade when intscore equals 90 would likely be 'A'.

When the variable intscore equals 90, the corresponding value assigned to the variable strgrade would typically be 'A'. This suggests that a score of 90 is associated with the highest grade achievable in the given context. The specific mapping between integer scores and letter grades may vary depending on the grading system or criteria in place. It is important to note that without further information about the grading scale or specific rules defined within the system, it is difficult to determine the exact value of strgrade assigned to intscore of 90.

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200 pounds is approximately equal to 90.7185 kg ( rounded to four decimal places )

To convert 200 pounds to kg, we can use the following formula:

1 pound = 0.453592 kg

The conversion factor is 0.453592

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

Therefore,

The mass in kg = conversion factor × The mass in pounds

Substitute the values in the equation

The mass in kg = 0.453592 × 200

Multiply the numbers

= 90.7185 kg  ( rounded to four decimal places )

Therefore, 200 pounds is 90.7185 kg

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Answer:

b = 3/4

Step-by-step explanation:

Using point slope: y - y1 = m(x - x1).

Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.

0.2 = 1/5, so 1/5 * 1/4 = 1/20

Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4

b = 3/4

Using point slope: y - y1 = m(x - x1).

Substitute your given slope, given point, and subsitute 0 in for x and solve for y since the y intercept is the y value when x = 0.

0.2 = 1/5, so 1/5 * 1/4 = 1/20

Therefore: y - 4/5 = 1/4(0 - 0.2) → y - 4/5 = -1/20 → y = 4/5 - 1/20 → 15/20 → 3/4

(A) Algorithms are mathematical formulas placed in software that performs an analysis on a data set.

Therefore, (A) algorithms are mathematical formulas placed in software that performs an analysis on a data set.

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Answer:

14

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(4-3x5)/(∛8 +2)

(4 - 15)/(2+2)

-11/4

Answer:

Tisco

Step-by-step explanation:

T=1.65x4 is 6.6

A=1.36x5 is 6.8

6.8>6.6

sry if wrong

Therefore , the solution of the given problem of fraction  comes out to be

height h = 3 meters.

Part of a whole is a fraction. The quantity is written as a quotient in mathematics, where the numerator and denominator are divided. Each is an integer in a simple fraction.

Here,

Given :

=> 48π m².

=> 5π meter and radius = 8/2 = 4 meter

=>π(4)(4)h =48π

=> 16πh = 48π

=> h = 3 meters

Whether  it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.

Therefore , the solution of the given problem of fraction  comes out to be

height h = 3 meters.

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Sample average: To calculate the sample average, add up all the measurements and divide by the number of measurements.

42.4 + 65.7 + 29.8 + 58.7 + 52.1 + 55.8 + 57.0 + 68.7 + 67.3 + 67.3 + 54.3 + 54.0 = 751.4

Sample average = 751.4 / 12 = 62.62

Sample standard deviation steps:

Subtract the sample average from each measurement to find the deviations.

Square each deviation.

Add up the squared deviations.

Divide the sum by the number of measurements minus one (n-1).

Take the square root of the result.

Sample standard deviation = sqrt(sum of squared deviations / (n-1))

Dot diagram: A dot diagram, also known as a dot plot, is a simple graphical representation of a set of data where each data point is represented by a dot on a number line. To create a dot diagram, plot each measurement as a dot on a number line with the corresponding value.

This is a useful tool to visualize the distribution of the data and to see the general pattern, such as the presence of outliers, skewness, or clusters.

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Answer:

#5 is a function, #6 is not a function

Step-by-step explanation:

There are 384 different ways or combinations that the thank-you note can look.

To find the total number of different ways that the thank-you note can look, we need to multiply the number of choices available for each decision point.

Gabrielle can choose between 2 kinds of cards, so there are 2 options. She has 8 kinds of envelopes to choose from, so there are 8 options. She only needs to use one of the 3 designs of first-class stamps, so there are 3 options. Finally, she has 8 colors of pen to choose from, so there are 8 options.

Therefore, the total number of different ways that the thank-you note can look is:

2 x 8 x 3 x 8 = 384

There are 384 different ways that Gabrielle can create the thank-you note by choosing a card, an envelope, a stamp design, and a pen color.

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If Galeno wants to buy a video game at a store having a 20%-off store wide sale.

3. Galeno pays $40.19 for the video game.

4. Jesse's bonus is $3,090.

5.  the volunteers collected 20 cans, 30 glass bottles, and 33 plastic bottles.

3. The discounted price of the video game during the store-wide sale is:

Discounted price = Regular price x (1 - Discount rate)

Discounted price = $50 x (1 - 0.20) = $40

With the additional 5% coupon, the final price is:

Final price = Discounted price x (1 - Coupon rate)

Final price = $40 x (1 - 0.05) = $38

Adding the 5.75% sales tax, the total cost to Galeno is:

Total cost = Final price x (1 + Sales tax rate)

Total cost = $38 x (1 + 0.0575) = $40.19

Therefore, Galeno pays $40.19 for the video game.

4. After his first year, Jesse's salary is:

Salary after first year = Starting salary x (1 + Raise rate)

Salary after first year = $30,000 x (1 + 0.03) = $30,900

After his second year, Jesse's salary with the 10% bonus is:

Salary with bonus = Salary after first year x (1 + Bonus rate)

Salary with bonus = $30,900 x (1 + 0.10) = $33,990

Jesse's bonus is the difference between his salary with the bonus and his salary without the bonus:

Bonus = Salary with bonus - Salary after first year

Bonus = $33,990 - $30,900 = $3,090

Therefore, Jesse's bonus is $3,090.

5. Let's call the number of glass bottles collected "g". Then, the number of cans collected is 20, and the number of plastic bottles collected is 110% more than the number of glass bottles, which is 1.1g.

Since the volunteers collected 50% more glass bottles than cans, we know that:

g = 20 + 0.5(20)

g = 30

Therefore, the number of plastic bottles collected is:

1.1g = 1.1(30)

1.1g = 33

The volunteers collected 33 plastic bottles.

Therefore, the volunteers collected 20 cans, 30 glass bottles, and 33 plastic bottles.

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Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y = \(\frac{2}{3}\) x + 3 ← in slope- intercept form

with slope m = \(\frac{2}{3}\)

Given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{2}{3} }\) = - \(\frac{3}{2}\)

His error was in missing the negative sign from \(\frac{3}{2}\)

Answer:

SECOND QOURDANT

Step-by-step explanation:

The graph lying in first quadrant and graph of horizontal line lying in the fourth quadrant are representing functions.

A function is such type of mapping which strictly has one and only one value corresponding to each input given to the function.

The  graph of first quadrant satisfies the condition of a mapping being a function.

The second quadrant contains a graph of parabola but as it is visible, the graph has two values for each input x it takes from -3 to -6. Example: At x = -6, the function outputs y = 2 and y = 5 two values. Thus it is NOT a function.

The third quadrant contains similar graph which also doesn't satisfy the single output constraint. Example, at x = -1, it outputs y = -2 and y = -6 both. Thus its NOT a function.

The fourth quadrant has a graph of two lines. First line is horizontal and has only one value to each x it allows as valid input.  Thus it represents a function.

In the same fourth quadrant lies another line but that is vertical. For value x=4. it has several values of y. Thus its NOT a function either.

Thus the graph lying in first quadrant and graph of horizontal line lying in the fourth quadrant are representing functions.

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Given:

Area of large rectangle = (8x + 1)(5x)

Area of small rectangle = (4x)(2x)

To find area of the shaded region, subtract the area of the small rectangle from the large rectangle.

We have:

Area of large rectangle =

Area of small rectangle =

Area of shaded region =

Therefore, the area of the shaded region is = 32x² + 5x

ANSWER:

In a scatter plot, if all data points were aligned along a 44º angle, the correlation would be 0. The correct answer is D.

In a scatter plot, the correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.

When all data points are aligned along a 44º angle, it means that the points are distributed randomly and do not follow a clear linear pattern. There is no consistent increase or decrease in one variable as the other variable changes. Therefore, the correlation between the variables is 0, indicating no linear relationship or strength of association.

In other words, the angle of 44º suggests that the variables are unrelated and have no linear dependency on each other.

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If x represents the number of calendars and y represents the number of mugs , The inequality that represents the given situation is 7x + 11y ≥ 700 and x ≥ 50.

Given,

The cost for one calendar = $7

The cost for one coffee mug = $11

Dominique must sell at least $700 of merchandise and it should include at least 50 coffee mugs.

Here,

x be the number of calendars and y be the number of coffee mugs;

We have to find an inequality which represents the given situation;

So,

The inequality be;

7x + 11y ≥ 700 and x ≥ 50

That is,

The inequality that represents the given situation is option D 7x + 11y ≥ 700 and x ≥ 50.

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Answer:

c. 7x + 11y ≥ 700 and y ≥ 50

Step-by-step explanation:

because 7x is the calenders and 11y is the mugs and it says she must sell at least $700 and 50 mugs.

if the y is for the mugs then it would be y ≥ 50 and not x ≥ 50 because that would be the calenders

so therefore its c. 7x + 11y ≥ 700 and y ≥ 50