At a meeting attended by 23 people, the females exceeds the males by 7. how many males were there?

Answers

Answer 1

Number of males in the meet were 8.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.

Let the number of males be x.

Number of females = x + 7

Total number of people attending meet = Number of male +

                                                                    Number of  females

23 = x + x + 7

23 = 2x + 7

16 = 2x

x = 8.

Thus number of males in the meet were 8.

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Related Questions

The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of people who appear on the list that are actually caught. In an earlier study, the population proportion was estimated to be 0.26. How large a sample would be required in order to estimate the fraction of people who are captured after appearing on the 10 Most Wanted list at the 98% confidence level with an error of at most 0.04?

Answers

The sample size required to estimate the fraction of people who are captured after appearing on the 10 most wanted list is 228.

Given  standard deviation of 0.26 ,margin of error of 0.04, and confidence interval of 98%.

We have to determine the sample size required to estimate the fraction of people who are captured after appearing on the 10 ost wanted list.

We can find the sample size with the help of margin of error.

Margin of error is the difference between the calculated values and real values.

Margin of error=z*σ/[tex]\sqrt{n}[/tex]

where σ is standard deviation,

n is sample size and z is critial z value.

We have to find the z value for 98% confidence level from z table.

z value=2.326.

Put the values in the formula of margin of error.

0.04=2.326*0.26/[tex]\sqrt{n}[/tex]

[tex]\sqrt{n}[/tex]=2.326*0.26/0.04

[tex]\sqrt{n}[/tex]=15.119

squaring both sides we get

n=228.58

By rounding we get

n=228.

Hence the sample size needed is 228.

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A=[37], B =[²7], C = [= ² =8].
Which matrix represents (A - B) - C?

Answers

5 7
7 4

Please mark brainliest
Solution:
Step 1: Solve the bracket my subtracting matrix A from matrix B
( 5 -8 _ ( 2 -9 = ( 3 1
3 0) 1 0) 2 0)

Step 2: Subtract the resultant matrix from A and B from Matrix C
( 3 1 _ (-2 -6 = (5 7
2 0) -5 -4) 7 4)

Therefore the resulting solution of matrix (A-B)-C is (5 7
7 4)

f(x)=x2 Translate left 2 units Translate down 2 units

Answers

I want an answer to this too, I would love some help as well

A study conducted at a certain college shows that 51% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that 5 randomly selected graduates all find jobs in their chosen field within a year of graduating. Round to the nearest thousandth if necessary.

Answers

Answer:

0.035

Step-by-step explanation:

Since all of them find a job, the probability is

[tex]51\%\times51\%\times51\%\times51\%\times51\%\\\\=(51\%)^5\\\\=0.035[/tex]

(rounded to the nearest thousandth)

Hurrry help number is chosen at random form 1 to 50 find the probiotic of selecting prime numbers

Answers

Answer:  [tex]\frac{3}{10}[/tex] or 30%

Step-by-step explanation:

       We will divide the wanted outcomes by the possible outcomes.

       [tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} =\frac{\text{number of prime number}}{\text{number of numbers 1 through 50}} =\frac{15}{50}=\frac{3}{10}\;\; \text{or 30\%}[/tex]

    The prime numbers from one through fifty are; 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47.

    -> This is 15 numbers

increase the number 1.25 by 8/25 of it

Answers

Answer: 1.65

Step-by-step explanation:

     First, we must find 8/25 of 1.25. This is using multiplication.

1.25 * 8/25 = 0.4

    Now, we can increase 1.25 by 8/25 of it. This is using addition.

1.25 + 0.4 = 1.65

Point P is the center of dilation. Triangle S T U is dilated to create triangle S prime T prime U prime. The length of P T is 2. The length of T T prime is 10.

Which statements justify that the dilation of triangle STU is an enlargement increasing its size by the magnitude of the scale factor? Select two options.
The triangle pre-image is closer to the point of dilation than the image.
The triangle image is closer to the point of dilation than the pre-image.
The value of the scale factor, One-sixth, is between 0 and 1.
The value of the scale factor, 6, is greater than 1.
The vertices of the pre-image are collinear with the vertices of the imag

Answers

The statements that justify that the dilation of triangle STU is an enlargement increasing its size by the magnitude of the scale factor include:

A. The triangle pre-image is closer to the point of dilation than the image.

D. The value of the scale factor, 6, is greater than1.

What is dilation?

It should be noted that dilation refers to the transformation of an object.

In this case, the triangle pre-image is closer to the point of dilation than the image and the value of the scale factor, 6, is greater than1.

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math. is 1.096 x 10 ^4 the right answer?

Answers

1.04(10^4) + 5.6(10^2)
1.04(10000) + 5.6(100)
10400 + 560
10960
You have the correct answer.

Work Shown:

[tex]1.04 \cdot 10^4 + 5.6 \cdot 10^2\\\\10,400 + 560\\\\10,960\\\\1.096 \cdot 10^4\\\\[/tex]

Note: Something like [tex]5.6 \cdot 10^2[/tex] means we move the decimal point two spots to the right to get to 560. If the exponent was negative, then we move that many spaces to the left.

What phrases can be
used to describe the line
representing the relationship between the number of
balloons remaining and the number of hats created?
Select three options.
D positive slope
O negative slope
O constant slope
D increasing function
D decreasing function

Answers

The answer to the question of what phrases could be used is, positive slope, constant slope and increasing function.

The number of hats being manufactured is increasing or is going up positively.

The balloons remaining is constant because not is changing.

What is the first step to solve the following system of equations using substitution? 3x+y=15 5x-3y=11Divide the second equation by 3. Multiply the first equation by 3. Solve the first equation for y. Add the two equations together.

Answers

Answer:

(4, 3)

Step-by-step explanation:

#1. Isolate x:

3x + y = 15

y = 15 - 3x

Substitute and solve for x:

5x - 3y = 11

5x - 3(15 - 3x) = 11

5x - 45 + 9x = 11

5x + 9x = 11 + 45

14x = 56

x = 4

Substitute and solve for y:

y = 15 - 3x

y = 15 - 3(4)

y = 15 - 12

y = 3

Answer:

C. Solve the first equation for y

===================

Given system

3x + y = 155x - 3y = 11

If we are looking for substitution, then should solve one of the equations for one of the variables. This will allow us to substitute same into other equation and solve for the other variable.

Let's see what would be easy solution.

Equation 1

Solving for x is not straight away (we isolate x and divide all terms by its coefficient) as it has coefficient of 3.

Solving for y is easy, we just need to isolate it:

3x + y = 15 ⇒ y = - 3x + 15

Equation 2

Both of the variables have coefficients that are not factors of the constant term, so the easiest option is to solve the first equation for y.

This gives us the answer choice C.

с
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction
if needed.
Tan A
Check
50
30
A
40
B

Answers

Using relations in a right triangle, it is found that:

tan(A) = 3/4 = 0.75.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

In this triangle:

The adjacent side to A has length 40.The opposite side to A has length 30.

Hence the tangent of A is:

tan(A) = 30/40 = 3/4 = 0.75.

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Can someone help me out on these geometry questions? Its urgent, gotta have answers fast

Answers

5) Transitive property of equality

6) Addition property of equality

7) Subtraction property of equality

8) Division property of equality

9) Multiplication property of equality

10) Transitive property of congruence

11) Substitution property of equality

12) Addition property of equality [add XY to both sides then use segment addition postulate]

13) Subtraction property of equality [subtract XY from both sides then use segment subtraction postulate]

14) Angle addition postulate

15) Addition property of equality [add angle 2 to both sides then use angle addition postulate]

16) Transitive property of equality

How to find the answer to0.291×0.34

Answers

Answer:

0.291×0.34=0.09894

Answer:  0.09894

We are going to use long division:

The area of a circle is 47.39cm2. find the length of the radius rounded to 2 dp.

Answers

The length of the radius rounded to 2 decimal points is 3.88cm.

In geometry, the area enclosed by a circle of radius r is pie  π[tex]r^2[/tex].

How to round decimals?

Rounding decimals consists of rounding a decimal number to a certain number of decimal places, to save time and help us express really long numbers in shorter terms. There are certain rules to follow when rounding a decimal number. Put simply, if the last digit is less than 5, round the previous digit down. However, if it’s 5 or more than you should round the previous digit up. So, if the number you are about to round is followed by 5, 6, 7, 8, 9 round the number up. And if it is followed by 0, 1, 2, 3, 4 round the number down.

The area of circle is [tex]47.39cm^2[/tex].

Putting it in the formula we get

[tex]47.39cm^2[/tex] = π[tex]r^2[/tex]

[tex]r^2[/tex] = 47.39 / π

r^2 = 15.0847

r = 3.88 cm

Hence the length of the radius rounded to 2 decimal points is 3.88cm.

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Can someone solve this?

Answers

Answer:

[tex]\frac{5}{6}[/tex], [tex]\frac{5}{6}[/tex], and "Yes"

Step-by-step explanation:

   We will do as the instructions say.

-> See attached.

What is the slope of line a? 48 POINTS

Answers

Answer:

-3

Step-by-step explanation:

[tex]Slope = \frac{Change in Y}{Change in X}[/tex]

Take two points

(1, -5) and (-1, 1)

Plug in their y and x coordinates

[tex]\frac{-5 - 1}{1-(-1)} =\frac{-6}{2} = -3[/tex]

Answer:

1st answer is correct.

Step-by-step explanation:

First, let us take two coordinates of the line.

( 0 , -2 ) ⇒ ( x₁ , y₁ )

( -1 , 1 ) ⇒ ( x₂ , y₂ )

We have to use the below formula to find the slope of the line.

Slope = m

[tex]m = \frac{y_1-y_2}{x_1-x_2}[/tex]

Let us find it now.

[tex]m = \frac{-2-1}{0-(-1)}\\m = \frac{-3}{1}\\m=-3[/tex]

A researcher conducted an experiment to investigate the effects of working in crowded versus uncrowded conditions on the job satisfaction of employees in a variety of work settings. In this study, the dependent variable is

Answers

In a research of investigating the effects of working in crowded versus uncrowded conditions on the job satisfaction of employees in a variety of work setting , working is a depending variable and crowding is an independent variable.

Given aim of the research is to investigate the effects of working in crowded conditions and uncrowded conditions.

We know that depending variable is a variable whose value is dependent on the other variable. Independent variable is a variable whose value does not dependent on the other variables.

In the given question working may be affected negatively in crowded environment means there will be less work in crowded environment and more work in uncrowded environment.

Hence the depending variable in research is working.

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Simplify the expression completely.

Answers

The solution of the given expression [tex]\sqrt{7xy^7}\sqrt{21x^5y^5}[/tex]will be 7x³y⁶√3.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The given expression will be solved as follows:-

E =  [tex]\sqrt{7xy^7}\sqrt{21x^5y^5}[/tex]

E = [tex]\sqrt{7\times 7\times 3\times xy^7\times x^5y^5[/tex]

E=[tex]\sqrt{7\times 7\times 3\times x^6y^{12}[/tex]

E = 7x³y⁶√3.

Therefore the solution of the given expression [tex]\sqrt{7xy^7}\sqrt{21x^5y^5}[/tex]will be 7x³y⁶√3.

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Use a graphing calculator to find the value of the correlation coefficient r to determine if there is a strong correlation among the data.

(1, 7), (2, 5), (3, -1), (4, 3), (5, -5)

Answers

The value for r = - 0.8535 ,  there is strong correlation between the variables.

What is a correlation coefficient  ?

Correlation coefficient describes the relationship between the two variables in the data .

The data given is

(1, 7), (2, 5), (3, -1), (4, 3), (5, -5)

Assuming Linear Regression ,

The data is plotted on the graphing calculator

The value for r = - 0.8535

as the value is in the range of - .85 to -1 , therefore there is strong correlation between the variables.

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In the following exercises, multiply the binomials. Use any method.
256. (r + s)(3r + 2s)

Answers

Answer:

Hence the expression [tex]$$(4z-y)(z-6)=4z^2-yz-24z+6y$$[/tex]

Step-by-step explanation:

Explanation

The given expression is (4z-y)(z-6).We have to multiply the given expression.Multiply the (4 z-y) by -6, multiply the (4 z-y) by z then add like terms.

[tex]$$\begin{matrix}{} & {} & {} & {} & 4z & - & y \\ \times & {} & {} & {} & z & - & 6 \\ \end{matrix}$$[/tex]

________________

[tex]$$\begin{matrix}{} & {} & {} & - & 24z & + & 6y \\ 4{{z}^2} & - & yz & {} & {} & {} & {} \\ \end{matrix}$$[/tex]

______________________

[tex]$$\begin{matrix}4{{z}^2} & - & yz & - & 24z & + & 6y \\ \end{matrix}$$[/tex]

The school tuck-shop has milk in 700mL and 1L cartons. If there are 60 cartons and 48L of milk in total, how many 700 mL cartons are there?​

Answers

60 × 48 = 2880 L

2880 ÷ 700 = 4

Answer:

20  1 Liter Cartons

40  700 ml Cartons

Step-by-step explanation:

Let A be the number of 700ml cartons.

Let B be the number of 1 L cartons

We are told that A + B = 60 cartons total

Rearrange to isolate A:  A = 60 - B

700ml is 0.700L

Total volume of milk is 48L

Total volume (in liters) of the 700 ml cartons is from (0.70 L)A

Total volume from the 1L cartons is (1 L)B

Total = (0.70)A + 1B = 48 L

Now use the rearranged equation for A in the above espression:

(0.70)A + 1B = 48 L

(0.70)(60-B) + 1B = 48 L

42 - 0.70B + B = 48

0.30B = 6

B = 20

A is 60 - B or 40

=============

CHECK:

B:  20*(1 L)       = 20 L

A:  40*(0.70 L) =  28 L

Total =                   48 L  YES

A line passes through the points ( p , a ) and ( p , − a ) where p and a are real numbers. If p = 0 , what is the y-intercept? Explain your reasoning.

Answers

The y-intercept of the point where the value of x is zero, hence the y-intercept are -a and a

Intercept of a line

Given the coordinate points on a line as  (p , a) and ( p , − a )

Determine the slope

Slope = -a-a/p-p

Slope = infinity

If the value p is zero, hence the coordinate points will become (0, a) and (0, -a)

Since the y-intercept of the point where the value of x is zero, hence the y-intercept are -a and a

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A scientist has 50 grams of a radioactive element. The amount of radioactive element remaining after t days can be
determined using the equation f()-50
50 (1) ³ . After two days the scientist receives a second shipment of 50 grams of the
same element. The equation used to represent the amount of shipment 2 remaining after t days is f(t)-50
(1)- 50 (2)
of the following is an equivalent form of the expression for the amount remaining in shipment 2?
•(9²
5
50.
19
t
50-(³

Answers

The option that is the equivalent form of the expression for the amount remaining in shipment 2 is the second option: 50 ([tex]\frac{1}{2} ^ \frac{t}{5} / \frac{1}{2} ^ \frac{2}{5}[/tex])

What is the radioactive element about?

Note that:

f(t)= 50 (1/2)^ [tex]\frac{t-2}{5}[/tex]

f(t)= 50 (1/2)^ [tex]\frac{\frac{t}{5} } - {\frac{2}{5} }[/tex]

Note also that in indices,  [tex]x^{-y}[/tex] = 1/ [tex]x^{y}[/tex]

Then:  50 ([tex]\frac{1}{2} ^ \frac{t}{5} / \frac{1}{2} ^ \frac{2}{5}[/tex])

([tex]50 \frac {1}{2} ^ \frac{t}{5} / \frac{1}{2} ^ \frac{2}{5}[/tex])

= 50 ([tex]\frac{1}{2} ^ \frac{t}{5} / \frac{1}{2} ^ \frac{2}{5}[/tex])

Therefore, The option that is the equivalent form of the expression for the amount remaining in shipment 2 is the second option: 50 ([tex]\frac{1}{2} ^ \frac{t}{5} / \frac{1}{2} ^ \frac{2}{5}[/tex])

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The math question is on the image
find the nth term of the sequence ​

Answers

Notice how Pattern 2 is Pattern 1 with 4 balls added in the bottom row.

Pattern 3 is Pattern 2 with 5 more balls.

Pattern 4 is Pattern 3 with 6 more balls.

Generalizing the trend, we expect Pattern [tex]n[/tex] to be identical to Pattern [tex]n-1[/tex] with [tex]n+2[/tex] more balls.

If [tex]b_n[/tex] is the number of balls in the [tex]n[/tex]-th pattern, then we have the recursive relation

[tex]\begin{cases} b_1 = 6 \\ b_n = b_{n-1} + n + 2 & \text{for } n>1 \end{cases}[/tex]

We can solve this recurrence by substitution. Using the definition of [tex]b_n[/tex], we have

[tex]b_{n-1} = b_{n-2} + (n-1) + 2 \\\\ \implies b_n = (b_{n-2} + (n-1) + 2) + n + 2 \\\\ \implies b_n = b_{n-2} + 2\times2 + \bigg(n + (n-1)\bigg)[/tex]

[tex]b_{n-2} = b_{n-3} + (n-2) + 2 \\\\ \implies b_n = (b_{n-3} + (n-2) + 2) + 2\times 2 + \bigg(n + (n-1)\bigg) \\\\ \implies b_n = b_{n-3} + 3\times2 + \bigg(n + (n-1) + (n-2)\bigg)[/tex]

and so on, down to

[tex]b_n = b_1 + (n-1)\times2 + \bigg(n + (n-1) + (n-2) + \cdots + 2\bigg)[/tex]

Recall that

[tex]\displaystyle \sum_{i=1}^n i = 1 + 2 + 3 + \cdots + n = \frac{n(n+1)}2[/tex]

Then we find

[tex]\displaystyle b_n = 6 + 2(n-1) + \sum_{i=2}^n i[/tex]

[tex]\displaystyle b_n = 2n + 4 + \left(\sum_{i=1}^n i - 1\right)[/tex]

[tex]\displaystyle b_n = 2n + 3 + \frac{n(n+1)}2[/tex]

[tex]\displaystyle \boxed{b_n = \frac{n^2+5n+6}2}[/tex]

Answer:

28balls

Step-by-step explanation:

according to me:

from pattern 1 to 2 four balls were added

from 2 to 3 five balls were added

from 3 to 4 6 balls were added

so you can see that there is a certain sequence that is coming up

that is 4,5,6 so just added 7.

so 21 plus other 7 balls will give us 28 balls

Clara writes the equation (x – 13)(x 8) = 196 to solve for the missing side length of a rectangle represented by the factor x 8. what is the missing side length represented by x 8 units of the rectangle?

Answers

Answer:

28 units

Step-by-step explanation:

First, we are going to solve the equation  to find the value ^^

Let's solve the equation step by step

Step 1. Use the distributive property to destroy the parenthesis

Step 2. Subtract 196 to both sides of the equation

Step 3. Factor the expression

Step 4. Set each factor equal to zero and solve

Since we are dealing with lengths here, and lengths cannot be negative, the only valid solution is 28.

Now, we know from our problem that the missing side of the rectangle is given by the expression , so to find the actual length, we just need to replace  with 8 in the given expression and simplify!

We can conclude that the missing side length represented by x + 8 units of the rectangle is 28 units.

Simplify
(13x² +10) - 9x²

Answers

Get rid of the parenthesis:
13x^2 + 10 - 9x^2
Subtract like terms:
4x^2 + 10

The height of a cone is twice the radius of its base.
2x
X
What expression represents the volume of the cone, in
cubic units?
O 2x³
O 47x³

Answers

Answer: O253

Step-by-step explanation:

The correct expression which represents the volume of the cone is,

V = 2x³π/3

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The height of a cone is twice the radius of its base.

Let radius of cone = x

Then, The height of cone = 2x

Hence, The volume of cone is,

V = 1/3πr²h

V = 1/3 × π × x² × 2x

V = 2x³π/3

Thus, The correct expression which represents the volume of the cone is,

V = 2x³π/3

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How many ink cartridges can you buy with 105 dollars if one cartridge costs 15 dollars ?

Answers

Answer:

7

Step-by-step explanation:

105/15=7

7   ink cartridges you  can  buy with 105 dollars.

What is a linear equation in math?

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

One cartridge costs  = 15 dollars

No of cartridge we buy in 105 dollars = 105 /15

                                                              = 7

Therefore, 7   ink cartridges   buy can with 105 dollars.

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In the formula d = startroot (x 2 minus x 1) squared (y 2 minus y 1) squared endroot, how does each subtraction expression relate to the pythagorean theorem?

Answers

Each subtraction expression, in relation with the Pythagoras Theorem, represents the length of one side of a right-angled triangle with a hypotenuse of length d.

What is Pythagoras Theorem?

The Pythagoras Theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the remaining two sides in a right-angled triangle.

The formula for Pythagoras Theorem is given by,

[tex]h^{2}=a^{2} +b^{2}[/tex]

Here, h is the hypotenuse, a and b are the two legs of the right-angled triangle.

Each Subtraction in view of Pythagoras Theorem

It is is given that,

[tex]d =\sqrt{(x_{2} - x_{1} )^{2}+(y_{2} -y_{1} )^{2} }[/tex]

or  [tex]d^{2} =(x_{2} - x_{1} )^{2}+(y_{2} -y_{1} )^{2}[/tex]

Therefore, d is the hypotenuse and each subtraction term represents one leg of the right-angled triangle in accordance with the Pythagoras Theorem.

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A rectangle field is ten times as long as it is wide. If the perimeter of the field is 1650 feet, what are the dimensions of the field

Answers

170ft is the answer to this problem

Answer:

Below in bold.

Step-by-step explanation:

If the width is x feet then the length  is 10x feet, so:

2(x + 10x) = 1650

22x = 1650

x = 75 feet.

So the width is 75 feet and the length is 750 feet,

Other Questions
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