which is greater -9/20 or -0.5

Therefore , the solution to the given problem of the test statistics comes out to be Z =1.801.

A test statistic statistic illustrates how closely the distribution of your data matches the hypothesis  of the test statistic you are using. It is possible to figure out the distribution of the data, or how regularly an observation occurs, by looking at the confidence interval and variability around it.

Here,

Given : p' =210/400 = 0.525

p=0.48 , n=400

Test statistics:

=> Z = \(\frac{p'-p}{\sqrt{p(1-p)}/n }\)

=>Z=\(\frac{0.525-0.48}{\sqrt{0.48(1-0.48)}/400 }\)

=> Z = 1.801

Therefore , the test statistics comes out to be Z =1.801.

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The number of ways to select 9 players for the starting lineup from a team of 15 players  is 4862 ways.

The number of ways to select 9 players for the starting lineup from a team of 15 players can be calculated using the formula for combinations, which is given by:

C(n,k) = n! / (k! (n-k)!)

Where n is the total number of items, k is the number of items being selected, ! means factorial, and C(n,k) represents the number of combinations of k items from n.

Using this formula, the number of ways to select 9 players from a team of 15 players is:

C(15,9) = 15! / (9! (15-9)!) = 15! / (9! 6!) = 4,862

So, there are 4,862 ways to select 9 players for the starting lineup from a team of 15 players.

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Answer:

Step-by-step explanation:

51+90=141.3

180-141.3=38.7

90+38.7+51.3

So 4 and a number equal 90 degrees.

51.3 degrees are the number of 4 and c^2

We can use the Pythagorean theorem to find out that a^2 is 16

16 and b^2 will equal c^2 or the missing angle for 51.3 degrees.

a=51.3

b=90 meaning it has a 38.7 more of an angle than the 4 on the bottom.

Meaning it will be 7.02

7.02+4=11.02

Answer:

In 8 min it will travel 20

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Total flowers - roses = 9

15 - 6 = 9

Given:

The expression for total cost (in dollars) is

\(10a+6c\)

where, a adults and c children to eat at a buffet restaurant.

To find:

(a) The cost for 1 adult. The cost for 1 child .

(b) The total cost for 1 adult and 3 children is $ .

(c) Is $30 enough for a family of 2 adults and 2 children to eat at the buffet?

Solution:

(a) The expression for total cost (in dollars) is

\(10a+6c\)

Coefficient of a and c represents the cost for each adult and child respectively.

Therefore, the cost for 1 adult is $10. The cost for 1 child $6 .

(b) Substitute a=1 and c=3 in the given expression, to find the total cost for 1 adult and 3 children.

\(10(1)+6(3)=10+18\)

\(10(1)+6(3)=28\)

The total cost for 1 adult and 3 children is $28.

(c)

Substitute a=2 and c=2 in the given expression, to find the total cost for 2 adult and 2 children.

\(10(2)+6(2)=20+12\)

\(10(2)+6(2)=32\)

Since, 32>30, therefore, $30 is not enough for a family of 2 adults and 2 children to eat at the buffet.

Answer:

Alexander made a total of $825 last week in commission sales

Step-by-step explanation:

C=S×r

where;

C=commission earned

S=total value of stock sales

r=commission rate

Answer:

13/100×$7000

$910 for last week

Step-by-step explanation:

The approximate probability that all four seniors will be chosen at random is 0.48%.

To calculate the approximate probability that all four seniors will be chosen at random out of four seniors and six juniors competing for four places on a quiz bowl team, we need to consider the total number of ways to choose four students out of the ten, as well as the specific number of ways to choose all four seniors.

The total number of ways to choose four students out of the ten is given by the combination formula:

C(n, r) = n! / (r!(n - r)!)

Where n is the total number of students (10 in this case) and r is the number of students to be chosen (4 in this case).

So, the total number of ways to choose four students out of ten is:

C(10, 4) = 10! / (4!(10 - 4)!) = 210

Now, we need to determine the number of ways to choose all four seniors out of the four available senior spots. Since we are choosing all four seniors, there is only one way to do so.

Therefore, the probability of choosing all four seniors is:

Probability = (Number of ways to choose all four seniors) / (Total number of ways to choose four students)

Probability = 1 / 210

Approximately, the probability is 0.0048 or 0.48%.

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Answer:

--->11 months

Step-by-step explanation:

199.50 subtracted by 29 = 170.50

170.50 divided by 15.50 = 11 months

Determining the absolute age of a rock sample requires knowledge of the isotopic or fossil content of the rock, or its position in a sequence of rocks with known ages.

In order to determine the absolute age of a rock sample, you would need the following information:

The amount of a radioactive isotope present in the rock sample: Some isotopes are unstable and decay over time into stable isotopes.

The ratio of different isotopes of the same element present in the rock sample: Some isotopes of an element are not stable and can decay into other isotopes of the same element.

The sequence of rock layers in which the sample was found: If the rock sample is found in a layered sequence of rocks, the relative age of the rock can be determined based on its position in the sequence.

The presence of index fossils: Certain fossils are known to have existed during specific time periods in Earth's history.

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Using the bisection concept, it is found that the measure of angle PQR is of 130º.

A bisection divides an angle into two equal angles. In this problem, the angles are given as follows:

Hence the value of x is given as follows:

3x + 5 = 2x + 25

x = 20º.

Hence the measure of angle PQR is given as follows:

m<PQR = 3x + 5 + 2x + 25 = 5x + 30 = 5 x 20º + 30º = 130º.

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On solving the provided question, by properties of parallel lines we got to know that -  1 - A  2 - C  3 - B  4 - D

When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.

Matches are -

1 - A

2 - C

3 - B

4 - D

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The possible set of dimensions for the container

radius = 8 inches, height = 21 inches:

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

A) radius = 21 inches, height = 21 inches:

The inequality h > 0.3r² is satisfied (21 > 0.3 * 21^2).

The height must be no more than 15 inches greater than the radius

=21 - 21 <= 15), which is satisfied.

The area of the base must be at least 36pi square inches

= πr² ≥ 36pi, which is not satisfied ( πr² < 36π).

So, option A is not a possible set of dimensions.

B) radius = 8 inches, height = 21 inches:

The inequality  h > 0.3r² is satisfied (21 > 0.3 x  8²).

So, The height must be no more than 15 inches greater than the radius (21 - 8 ≤ 15), which is satisfied.

The area of the base must be at least 36π square inches

= π(8²) ≥ 36π

So, option B is a possible set of dimensions.

C) radius = 7 inches, height = 23 inches:

The inequality h > 0.3r^2 is satisfied (23 > 0.3 x 7^2).

The height must be no more than 15 inches greater than the radius

= (23 - 7 ≤ 15), which is satisfied.

and, Area of the base

= (π (7)² < 36pi) not satisficed.

So, option C is not a possible set of dimensions.

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P(80 < X < 125) = 0.9525 - 0.0918

P(80 < X < 125) = 0.8607

This means that approximately 86.07% of people have IQ scores between 80 and 125.

To answer this question, we need to calculate the standardized score (also known as z-score) for both 80 and 125:

z-score for 80: (80-100)/15 = -1.33

z-score for 125: (125-100)/15 = 1.67

Once we have the z-scores, we can use a standard normal distribution table or calculator to find the proportion of scores between them. Alternatively, we can use the following formula:

P(80 < X < 125) = P(Z < 1.67) - P(Z < -1.33)

Using a standard normal distribution table or calculator, we can find that P(Z < 1.67) is approximately 0.9525 and P(Z < -1.33) is approximately 0.0918.

Therefore:

P(80 < X < 125) = 0.9525 - 0.0918

P(80 < X < 125) = 0.8607

This means that approximately 86.07% of people have IQ scores between 80 and 125.

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Answer:

x = 9.4m

Hope this helps...Have a good day!!

\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Exponents ans Indices.

Since we know that, something inverse is a reciprocal.

that, (a) ^-1 = 1/a and (a^m)^n = a^m*n

so applying this we get as,

Option B.

==> 4^15 . 5^10

The hypothesis test is left-tailed because the financial analyst wants to test if the proportion of stock portfolios containing high-risk stocks is lower than 0.10.

In other words, they are interested in determining if the proportion is significantly less than the specified value of 0.10. A left-tailed hypothesis test is used when the alternative hypothesis suggests that the parameter of interest is smaller than the hypothesized value. In this case, the alternative hypothesis would be that the proportion of stock portfolios with high-risk stocks is less than 0.10.

By conducting a left-tailed test, the financial analyst is trying to gather evidence to support their claim that their clients have a lower proportion of high-risk stock portfolios. They want to determine if the observed data provides sufficient evidence to conclude that the true proportion is indeed less than 0.10, which would support their claim of a lower proportion of high-risk stocks.

Therefore, a left-tailed hypothesis test is appropriate in this scenario.

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Answer: 3,3

Step-by-step explanation:

the population would be 7,518,400

469,900 • 2^20/5

* 20/5 is part of the exponent

Answer:

7518400

Step-by-step explanation:

Doubling time model:

         \(P= P_o 2^{\frac{t}{D}}\)

Here, P is the initial value, D is the time taken to double the quantity, t is the given period of time.

 \(P_o = 469,900\\\\\\D = 5 \ years\\t = 20 \ years\)

                    \(P = 469,900 * 2^\frac{20}{5}\\\\P = 469,900 * 2^4\)

                         = 469,900 * 2 * 2 * 2 * 2

                         = 7518400

Answer:

\(\frac{x^3}{y^7}\)

Step-by-step explanation:

The key to answering this question is the exponential law that says \(a^{-n} = \frac1{a^n}$\) :

\(\frac{y^{-7}}{x^{-3}} \\ \\\to \frac{\frac1{y^7}}{\frac1{x^3}} \\ \\\to \frac1{y^7} \times \frac{x^3}1 \\ \\\to \frac{x^3}{y^7}\)

Answer:

The slope is 2

Step-by-step explanation:

Using the slope formula \(\frac{y2-y1}{x2-x1}\)

\(\frac{-7-(-8)}{-14-(-16)}\)=\(\frac{1}{2}\)= 2

The slope is 2

The equations obtained from evaluation of the data in the table and the predicted cost of hiring the DJs are as follows;

Part B

The equation representing the cost of hiring Celinda is; c = 36·h + 16

The equation representing the cost of hiring Brian is; c = 38·h + 4

Part C

The cost of hiring Celinda for 5 hours is $196

Cost of hiring Brian for 5 hours is $194

A linear equation is an equation that has an highest index of 1.

Part B

The first difference in the cost of hiring each DJ is presented as follows;

Celinda; 160 - 124 = 124 - 88 = 88 - 52 = 36

Brian; 156 - 118 = 118 - 80 = 80 - 42 = 38

The first difference are constant, therefore, the relationship are linear, which can be represented by linear equations.

The difference between the subsequent values in the number of hours of 1 indicates that we get;

Slope of the equation for Celinda = 36

The equation representing the total cost for Celinda is therefore;

Where c represents the cost and h represents the number of hours, we get;

c - 52 = 36·(h - 1)

c = 36·h - 36 + 52

The equation for Brian, with a slope of 38, is therefore;

c - 42 = 38·(h - 1)

c = 38·h - 38 + 42 = 38·h + 4

Part C

The cost of hiring each DJ for 5 hours is therefore;

h = 5

The cost of hiring Celinda for 5 hours is; c = 36 × 5 + 16 = 196

The cost of hiring Celinda for 5 hours is $196

The cost of hiring Brian for 5 hours can be obtained by plugging in h = 5 in the equation; c = 38·h + 4

Therefore; c = 38 × 5 + 4 = 194

The cost of hiring Brian for 5 hours is $194

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The final coordinates of the figure, following the reflection and translation are;

A''(-2, -1)

B''(-3, 1)

C''(2, 2)

A translation transformation is a geometric transformation that moves every point of a shape or object by the same distance in the same direction.

The coordinates of the vertices of the triangle are;

(-5, -1), (-6, -3), and (-1, -4)

1) The first transformation is a reflection across the x-axis

The coordinate of the point (x, y) following a reflection across the x-axis =  The point (x, -y)

Therefore, the coordinate of the image of the triangle following the reflection across the x-axis are the points;

(-5, -1) ⇒ (-5, 1)

(-6, -3) ⇒ (-6, 3)

(-1, -4) ⇒ (-1, 4)

The coordinates of the image following the reflection are therefore;

A'(-5, 1), B'(-6, 3), C'(-1, 4)

b. The coordinates of the image of the reflected triangle following a translation of <3, -2> are;

A'(-5, 1) ⇒ A''(-5 + 3, 1 - 2) = A''(-2, -1)

B'(-6, 3) ⇒ B''(-6 + 3, 3 - 2) = B''(-3, 1)

C'(-1, 4) ⇒ C''(-1 + 3, 4 - 2) = C''(2, 2)

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Answer: 2/21

Step-by-step explanation:

6/63= 2/21

Answer: unit of account

Step-by-step explanation:

I learned this in Macro Chapter 34.

Answer:

  29.999999997

Step-by-step explanation:

Comparing the given formula to the general formula for the terms of a geometric sequence ...

  an = a1·r^(n-1)

we see that ...

  a1 = 27

  r = 0.1

The formula for the sum of n terms of a geometric sequence is ...

  Sn = a1·(1 -r^n)/(1 -r)

The sum of 10 terms of this sequence is ...

  S10 = 27·(1 -0.1^10)/(1 -0.1) = 29.999999997

_____

Additional comment

Some calculators may have trouble with this. The correct answer has 11 significant digits. Some calculators only display 10 digits.

Answer:

the answer is 29.999

Step-by-step explanation:

If you take the same equation used to find the first 5 terms you are able to find the sum of the first 10

Answer:

d (5, 1)

Step-by-step explanation:

after reflection: 1, -5

after rotation: 5, 1

pls mark brainliest :)

The coordinates of B' is (5, 1)

Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.

There are 4 simple transformations which are; translation, reflection, rotation, and dilation.

Given:

The coordinates of B is (1, 5)

After reflection over x- axis the coordinates of B is (1, -5)

and, After rotation the the coordinates of B is (5, 1)

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Money raised by Jin = x = 37.26

Money raised by Bashir = x + 29 = 37.26 + 29 = 66.26

Money raised by Deb = x - 5 = 37.26 - 5 = 32.26

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount raised by Jin, hence:

Money raised by Bashir = x + 29

Money raised by Deb = x + 29 - 34 = x - 5

Hence:

x + x + 29 + x - 5 = 135.78

Money raised by Jin = x = 37.26

Money raised by Bashir = x + 29 = 37.26 + 29 = 66.26

Money raised by Deb = x - 5 = 37.26 - 5 = 32.26

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