22 randomly picked people were asked if they rented or owned their own home, 9 said they rented. Obtain a point estimate of the proportion of home owners. Use a 95% level of confidence.
point

The fraction of their money remains for other expenses each month is 5/12.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given:

Williams spend 1/3 of their total monthly income for rent and 1/4 for food.

The fraction of their money remains for other expenses each month,

= 1 - 1/3 - 1/4

= 5/12

Therefore, 5/12 is the remaining money.

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Answer:

Step-by-step explanation:

\(0.25=\frac{x}{140} \\140*0.25=\frac{x}{140}*140\\35=x\)

1st box: 140

2nd box: 140

3rd box: 35

The northerly component of the wind blowing at 15 m/s from the South East is approximately 10.605 m/s.

To determine the northerly component of a wind blowing from the South East, we need to consider the direction from which the wind is coming and its magnitude.

A wind blowing from the South East means it is coming from the South East direction towards the opposite direction, which is the North West. Since the wind is coming from the South East, we can say it has a southeasterly direction.

To find the northerly component, we need to break down the wind vector into its north and east components. The northerly component represents the part of the wind that is directed towards the north.

If we assume that the wind is blowing at an angle of 45 degrees with respect to the North, we can use trigonometry to find the components. Since the wind is blowing at 15 m/s, we can consider it as the hypotenuse of a right triangle.

The northerly component can be found using the sine of the angle:

Northerly Component = Wind Speed * sin(Angle)

Northerly Component = 15 m/s * sin(45°)

Using the value of sin(45°) (which is √2 / 2 ≈ 0.707), we can calculate the northerly component:

Northerly Component ≈ 15 m/s * 0.707

Northerly Component ≈ 10.605 m/s

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The answer fam is......... 8/17

Answer:

lol

Step-by-step explanation:

Answer:

The associative property can be used with multiplication and addition.

Examples:

2+(3+2) -> (2+3)+2 (Associative Addition)

2*(3*2) -> (2*3)*2 (Associative Mult.)

It does not work with division or subtraction.

2-(3-2) does not equal (2-3)-2

Answer:

heres your answer :)

Step-by-step explanation:

Step 1: Put the numbers in order. ...

Step 2: Find the median. ...

Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...

Step 4: Find Q1 and Q3. ...

Step 5: Subtract Q1 from Q3 to find the interquartile range.

Answer:

some number increased by two: (E) b+2

A variable decreased by two: (D) x-2

Product of an unknown value and two (C) 2z

Quotient: (A) a / 2

An unknown value squared: (B) y2

Answer:

C. 23

Step-by-step explanation:

Add then divide by 7

In linear equation, x = 18 is the value of x in equation .

What is a linear equation example?

6x +4(x - 10) = 140.

6X + 4X - 40 = 140

10X = 140 + 40

10x = 180

  x = 180/10

  x = 18

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Given: Two similar polygon

To Determine: The value of x

Solution

Using similar shape ratio

Hence,

x= 25

Based on the information, we can infer that the fraction represented by this graph is 1/3.

To identify the fraction that the graph represents, we must take into account that the table is divided into three equal fractions and one of them is colored in another color. According to the above, we can infer that we have 3 boxes available and one of them is colored. This would be represented as a fraction like this:

So the correct option would be 1/3 (option B).

Note: This question is incomplete. Here is the complete information.

Attached Image

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Answer:

25 hours

Step-by-step explanation:

It takes 5 men 45 hours to build a wall.

So, if no. of men increases by 1.8 [∴ 5 x 1.8 = 9],

then time taken reduces by that same amount.

=> 45 hours / 1.8

=> 45 / (9/5)

=> 45 x 5 / 9

=> 5 x 5

=> 25 hours

A person who has owned a Roth IRA for five years may withdraw money from the account to buy their first home. The individual has to meet certain requirements and can't withdraw more than $10,000 per person.

A Roth IRA is a type of individual retirement account that allows for tax-free withdrawals of contributions at any time, without penalty or taxes. After five years of ownership, a person who has a Roth IRA may withdraw money from the account to buy their first home. This withdrawal is known as a "first-time homebuyer distribution."

However, there are certain rules and limitations to be aware of when withdrawing money from a Roth IRA for a first home purchase. The individual must be a first-time homebuyer, defined as someone who has not owned a home in the past two years. Additionally, the maximum amount that can be withdrawn for a first home purchase is $10,000 per person.

It's important to note that while contributions to a Roth IRA can be withdrawn tax-free and without penalty, earnings on those contributions may be subject to taxes and penalties if withdrawn before age 59 and a half.

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Answer:

0.41

Step-by-step explanation:

0.25 0.375 0.5 0.625

Answer:

x = -15

Step-by-step explanation:

\( \dfrac{1}{3}x = -5 \)

Multiply both sides by 3.

\( 3 \times \dfrac{1}{3}x = 3 \times (-5) \)

\( x = -15 \)

1) Maeve needs to earn $140 each weekend to get at least $1,250, using a linear inequality.

2) The graph on a number line that solves her problem is number line D, showing Maaeve's earnings per weekend.

A linear inequality is a first-order term inequality that compares two values by the inequality symbols such as, '<', '>', '≤', '≠' or '≥'

In a linear inequality, m is the slope and b is the y-intercept with the x-intercept.

The amount Maeve currently has = $130

The number of weekends for the summer = 8

The least amount she wants to earn ≥ $1,250

130 + 8x ≥ 1,250

8x ≥ 1,250 130

8x ≥ 1,120

x ≥ 140

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Answer:

The values of the 4s in 244 is, 4 and 40

Explanation:

A place value  is used to understand the value of each digit based on the place or position.

Given number is 244.

Since, there are 2 fours in 244 ;

The last digit i.e, 4 on the right is in the ones' place with value= 4, and

Answer:

The values of the 4s in 244 is, 4 and 40

Explanation:

A place value  is used to understand the value of each digit based on the place or position.

Given number is 244.

Since, there are 2 fours in 244 ;

The last digit i.e, 4 on the right is in the ones' place with value= 4, and

Value of a number in the tens' place is ten times the value of the same number in the one's place.

then, the second one at ten's place with value,= 40.

Step-by-step explanation:

the answer its 120 hope helps you

Answer:

AB = 1- (-2) = 1+2 = 3units

Answer:

\(b_0 = 16.471\)

Step-by-step explanation:

Given

\(\begin{array}{ccccc}x & {15} & {12} & {10} & {7} \ \\ y & {5} & {7} & {9} & {11} \ \end{array}\)

Required

The least square estimate \(b_0\)

Calculate the mean of x

\(\bar x = \frac{\sum x}{n}\)

\(\bar x = \frac{15+12+10+7}{4} =\frac{44}{4} = 11\)

Calculate the mean of y

\(\bar y = \frac{\sum y}{n}\)

\(\bar y = \frac{5+7+9+11}{4} =\frac{32}{4} = 8\)

Calculate \(\sum(x - \bar x) * (y - \bar y)\)

\(\sum(x - \bar x) = (15 - 11) * (5 - 8)+ (12 - 11) * (7 - 8) + (10 - 11) * (9 - 8)+ (7 - 11) * (11 - 8)\)

\(\sum(x - \bar x) = -26\)

Calculate \(\sum(x - \bar x)^2\)

\(\sum(x - \bar x)^2 = (15 - 11)^2 + (12 - 11)^2 + (10 - 11)^2 + (7 - 11)^2\)

\(\sum(x - \bar x)^2 = 34\)

So:

\(b = \frac{\sum(x - \bar x) * (y - \bar y)}{\sum(x - \bar x)^2}\)

\(b = \frac{-26}{34}\)

\(b_0 = y - bx\)

\(b_0 = 5 - \frac{-26}{34}*15\)

\(b_0 = 5 + \frac{26*15}{34}\)

\(b_0 = 5 + \frac{390}{34}\)

Take LCM

\(b_0 = \frac{34*5+ 390}{34}\)

\(b_0 = \frac{560}{34}\)

\(b_0 = 16.471\)

The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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Answer:

(3, -2) is the correct choice.

Answer:

3.25km is the distance around the track.

what's the distance for four trips around the track

Answer:

To calculate the time it would take to make $300 at a rate of $20 per week, we can set up a proportion:

$20/week = $300/x weeks

where x is the number of weeks needed to make $300.

To solve for x, we can cross-multiply:

$20 * x = $300 * 1

x = $300/$20

x = 15 weeks

Therefore, it would take 15 weeks to make $300 at a rate of $20 per week.

Step-by-step explanation:

To calculate the time it would take to make $300 at a rate of $20 per week, we can set up a proportion:

$20/week = $300/x weeks

where x is the number of weeks needed to make $300.

To solve for x, we can cross-multiply:

$20 * x = $300 * 1

x = $300/$20

x = 15 weeks

Therefore, it would take 15 weeks to make $300 at a rate of $20 per week.

Number of weeks to make $300 is, 15

We have to given that,

Cost of a week = $20

Now, Let us assume that,

Number of weeks to make $300 = x

Hence, We get;

x = $300 / $20

x = 300/20

x = 30/2

x = 15

Therefore, It take 15 weeks to make $300.

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The Inequality which ensure triangle exists is A. 7/4 < x < 11/2

Inequality is defined as the relation between two quantities with the sign of inequality that is >, <, ≤ , ≥ ."

Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal.

Theorem used In ΔABC,

AB + BC >AC

AC+ BC >AB

AC + AB > BC

According to the question,

In triangle ABC.

AC = 18units

BC = 6x units,

AB = 2x + 4 units

Substitute the value in the inequality to ensure triangle exists we get 7/4 < x < 11/2. The correct option is A.

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Answer:  640 out of 800 is the answer.

Step-by-step explanation:

The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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