The number of girl child per family was recorded for 1000 families with 3 children. The data obtained was as follows: [2] Number of Girls 0 1 2 3 Number of Families 112 314 382 192 Suppose a family is chosen at random, find the probability that it has: (a). At most one girl (b). More girls than boys
Answer:
[tex]a.\ Probability = 0.426[/tex]
[tex]b.\ Probability = 0.574[/tex]
Step-by-step explanation:
Given
[tex]Total\ Families = 1000[/tex]
Number of Girls : 0 ----> 1 -----> 2 ------->3
Number of Families: 112 -> 314 --> 382 ---> 192
Solving (a): At most one girl
From the table, the number of families with at most one girl is: 112 + 314
i.e.
Number of Girls : 0 ----> 1
Number of Families: 112 -> 314
So, we have:
[tex]At\ Most\ One\ Girl = 112 + 314[/tex]
[tex]At\ Most\ One\ Girl = 426[/tex]
The probability is then calculated as:
[tex]Probability = \frac{At\ Most\ One\ Girl}{Total}[/tex]
[tex]Probability = \frac{426}{1000}[/tex]
[tex]Probability = 0.426[/tex]
Solving (b): More girls
From the table, the number of families with more girl is: 382 + 192
i.e.
Number of Girls : -----> 2 ------->3
Number of Families: --> 382 ---> 192
So, we have:
[tex]More\ Girls = 382 + 192[/tex]
[tex]More\ Girls = 574[/tex]
The probability is then calculated as:
[tex]Probability = \frac{More\ Girls}{Total}[/tex]
[tex]Probability = \frac{574}{1000}[/tex]
[tex]Probability = 0.574[/tex]
Giving brainliest help I need it, ignore answers I put unless their right
Answer:
For the middle one 20 /9 or 2 and 2/9
Step-by-step explanation:
20 /9 or 2 and 2/9
Do you need help with the rest or no?
Find the equation of the line that is parallel to the given line and passes through the given points Y=0.1 X -2;(-4,8)
The equation is y=
Please help it’s very urgent
Answer:
y=0.1x + 8.4
I hope it will be useful.
The diffrence between 9 and half of a number is 16 what is the number?
Answer:
is this how the question is really wrote out. it doesn't look like english
Step-by-step explanation:
half of 9 is 4.5
Please HELP ASSSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
There are 96 more freshmen than juniors. the answer is D: 96
Step-by-step explanation:
28% and 22%
28 - 22 = 6
6% of 1,600 = 96
6% = 0.06
0.06 x 1,600 = 96
There are 96 more freshmen than juniors.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
In triangle △WXY, XY ≅ WX and m∠X=38 Find m∠W
Answer:
[tex]71^{\circ}[/tex]
Step-by-step explanation:
Since two sides of the triangle are equal in length, we can conclude that [tex]\triangle WXY[/tex] is an isosceles triangle. With this information, we can draw an isosceles triangle to find [tex]m\angle W[/tex]. Since the base angles of an isosceles triangle are equal, we can solve for [tex]m\angle W[/tex]:
[tex]38 + m\angle W + m\angle Y = 180[/tex] (Angle sum of triangle is [tex]180^{\circ}[/tex])
[tex]38+2(m\angle W) = 180[/tex] (Base angles of isosceles triangles are equal, there is an image attached to show that [tex]m\angle W[/tex] is one of the base angles)
[tex]2(m\angle W) = 142[/tex]
[tex]m\angle W=71^{\circ}[/tex]
Hope this helps :)
Please help :((( will mark brainliest !
Answer: i think its c
hope its right
:)
Please help me choose the right equation!!! I’m a taking a test and really want to pass!!!
Answer:
Step-by-step explanation:
I need help pls with this question
can you please show the work on both of them?
Question 9)
From the line graph, taking two points
(-5, 4) (-6, 7)Finding the slope between (-5, 4) and (-6, 7)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-5,\:4\right),\:\left(x_2,\:y_2\right)=\left(-6,\:7\right)[/tex]
[tex]m=\frac{7-4}{-6-\left(-5\right)}[/tex]
[tex]m=-3[/tex]
We know that the slope-intercept of the line equation is
y = mx+b
where m is the slope and b is the y-intercept
substituting (-5, 4) and m = -3 in the slope-intercept of the line
y = mx+b
4 = -3(-5)+b
4 = 15+b
b = 4-15
b = -11
substituting b = -10 and m = -3 in the slope-intercept of the line
y = mx+b
y = -3x+(-11)
y = -3x - 11
Thus, equation is slope-intercept form will be:
y = -3x - 11
Hence, option B is true.
Question 10)
From the line graph, taking two points
(4, 7) (-8, 1)Finding the slope between (4, 7) and (-8, 1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(4,\:7\right),\:\left(x_2,\:y_2\right)=\left(-8,\:1\right)[/tex]
[tex]m=\frac{1-7}{-8-4}[/tex]
[tex]m=\frac{1}{2}[/tex]
We know that the slope-intercept of the line equation is
y = mx+b
where m is the slope and b is the y-intercept
substituting (4, 7) and m = 1/2 in the slope-intercept of the line
y = mx+b
7 = 1/2(4)+b
7 = 2+b
b = 5
substituting b = 5 and m = 1/2 in the slope-intercept of the line
y = mx+b
y = 1/2x + 5
Thus, the equation is slope-intercept form will be:
y = 1/2x + 5
Hence, option C is true.
[tex] {x}^{3} - 4x + \sqrt{{x}^{3} - 4x + 9 } = 3[/tex]
Help me please
A circle is inscribed in a square. If the sum of the perimeter of the square and the circumference of the circle is 100cm, calculate the radius of the circle.
Answer:
7 cm
Step-by-step explanation:
Let the side of square be x.
Perimeter of square = 4x
Diameter of circle = x
Radius of circle = x/2
Circumference of circle = 2 * 22/7 * x/2 = 22/7x
According to Question,
4x + 22/7x = 100
(28+22) / 7x = 100
50x = 700
x = 14
Hence, diameter of circle = 14 cm
Radius of circle = (14/2) cm = 7 cm
Using Point Slope Formula, write an equation that passes through (-2, 6) and ( 8, 9)
Answer:
y - 9 = 3/10(x - 8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (-2, 6)
Point (8, 9)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{9-6}{8+2}[/tex]Subtract/Add: [tex]\displaystyle m=\frac{3}{10}[/tex]Step 3: Write Function
Plug in variables into general form.
y - 9 = 3/10(x - 8)
y - 6 = 3/10(x + 2)
a mat is 3m long and xm wide what is the area in m²
Step-by-step explanation:
Area = Length * Width = (3m)(xm) = 3xm².
plz give answer and explanation
i will give 24 points
Answer:
please refer to the above attachment.
Step-by-step explanation:
a. 3800 + 2.5%3800 = 3895
3895 - 3800 = 95 is the interest
b. there are 12 months in a year so...
95 x 12 = 1140 is the total interest
3.3 repeating as a fraction
Answer:
The correct answer is 33/100.
Step-by-step explanation:
To transform a decimal into a fraction, follow the steps below:
Step 1: Change the Fraction into a Decimal:
3.30 = 33/100
Step 2: Find the GCF of both numbers:
The GCF (Greatest Common Factor) of 33 and 10 is 1.
Step 3: Divide both numbers by the GCF:
3.30 =
33/1 ÷ 100/1 =
33/100
Therefore, the correct answer is 33/100.
Hope this helps! :D
3.3 repeating in fraction form will be 33/100.
The correct answer is 33/100.
Given, 3.3 in repeating form.
To transform a decimal into a fraction, follow the steps below:
Change the Fraction into a Decimal:
3.30 = 33/100
Find the GCF of both numbers:
The GCF (Greatest Common Factor) of 33 and 10 is 1.
Divide both numbers by the GCF:
3.30 = 33/1 ÷ 100/1
= 33/100
Therefore, the correct answer is 33/100.
Know more about fraction,
https://brainly.com/question/8482939
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MATH PLS HELPPP BRANLIETS 5 POINTS!!!!!!!!!!
Answer:
A?
Step-by-step explanation:
I think it is A but I'm not 100% sure
Answer:
The total cost of riding in the taxi
Step-by-step explanation:
A ball bounces from a height of 8 feet. The ball bounces to 80% of its previous height with each bounce. How high (to the nearest tenth of a foot) does the ball bounce on the fifth bounce?
Answer:
2.6 feet
Step-by-step explanation:
At each point, there is a loss of 20% (since it flies to 80%)
a) 8 - 20% of 8
= 8-1.6 = 6.4
b) 6.4 - 20% of 6.4
= 5.12
c) 5.12 - 20% of 5.12
4.096
d) 4.096 - 20% of 4.096
3.2768
e) 3.2768 - 20% of 3.2768
= 2.62144 feet
3y + 20 = 3 + 2y
A. -1/17
B.7 2/3
C. 23
D. -17
In a candy mix there are 4 green bars for every 3 red bars. How many red bars are there if there are 200 green bars? A. 150 red bar's B. 199 red bars c.201 red bars d. 267 red bars
Step-by-step explanation:
4 green bars to 3 red bars
=> 200 green bars to 3 * (200/4) = 150 red bars.
There are 150 red bars. (A)
Answer:
Step-by-step explanation:
A - 150 is the a answer
4 green bars for every 3 red bars, take 3 red bars as one bucket so total we have 200/4 buckets which is 50
now 1 bucket has 3 green bars so total we have 3* 50 buckets which is 150
WILL GIVE BRAINLIEST!!! Which equation is modeled below? 4 x tiles and 2 negative 1 tiles = 2 x tiles and 4 1 tiles. 2 x + (negative 2) = negative 2 x + 6 4 x + (negative 2) = negative 2 x + 6 2 x + 4 = 6 x + 2 Negative 2 x + 4 = 6 x + (negative 2)
Answer:
B
Step-by-step explanation:
4x+ (-2) =-2x+6
just took the quiz
Answer:
B) 4 x + (-2) = -2 x + 6
Step-by-step explanation:
The figure shows triangle ABC inscribed in circle D.
If the measure of angle CBD = 44°, find the measure of angle BAC, in degrees. Explain each
step you take to solve using proper math vocabulary.
Unit 4a Question
B
Answer: 46
Step-by-step explanation:
Just got it on a test so I wanted to help you guys out. Thank you guys in the comment section of the other answer. That one is wrong.
Red snapper cost $4.15 per pound find the cost of 3.5 pound round to the nearest cent
Answer:
$14.53 for 3.5 pounds of red snapper
Step-by-step explanation:
Answer:
14.52?
Step-by-step explanation:
i multiplied 4.15 by 3.5
A plane travels north for 2.5 h at a velocity of 100 km/h. Another plane travels east for 4 hours at a velocity of 62.5 km/h. Which plane traveled the longer distance? Show all calculations
Answer:
The two planes have traveled the same distance.
Step-by-step explanation:
Given that:
Velocity of first plane traveling north = 100 km/h
Time taken by the plane = 2.5 hours
Velocity of second plane traveling north = 62.5 km/h
Time taken by the plane = 4 hours
To find:
Which plane traveled longer distance?
Solution:
First of all, let us have a look at the formula for finding the distance using velocity and time.
Formula is:
[tex]Distance = Velocity \times Time[/tex]
Distance traveled by first plane:
[tex]Distance_1 = 100\times 2.5\\\Rightarrow Distance_1 = 250 \ km[/tex]
Distance traveled by second plane:
[tex]Distance_2 = 62.5\times 4\\\Rightarrow Distance_2 = 250 \ km[/tex]
Here, we can clearly see that:
[tex]Distance _1 = Distance _2[/tex]
Therefore, the two planes have traveled the same distance.
The conservation club has 32 members. There are 18 girls in the club. What is the ratio of girls to boys in simplest form?
79
916
97
716
Answer:
9:7
Step-by-step explanation:
number of boys is 32 - 18 = 14
ratio will be 18:14
then 9:7
Answer: 9:7 hope this help i did the quiz so i know answer
Step-by-step explanation:
What value of x is in the solution set of 8x - 6 > 12 + 2x?
O-1
O0
O3
O5
The answer of X will be equal (3)
Express the ratio 12:3:9 in its simplest form
Answer:
4:1:3
Step-by-step explanation:
The perimeter of the rectangle is 10. Find the value of x.
Answer:
Hi! Is there a picture?
Step-by-step explanation:
Answer:
The area equation to solve becomes \displaystyle x(x-4)=96, or \displaystyle x^{2}-4x-96=0. To factor, find two numbers the sum to -4 and multiply to -96. -12 and 8 will work: x2 ...
B Print
Find the slope of the line.
12
11
10
9
4
2
ol
5
9 10
The slope is
2 integers with a sum of 0 and product of -16
Answer:
-4 and + 4
Step-by-step explanation:
Two integers with a sum of 0 and product of - 16
Let the two digits = a and b
a + b = 0
a * b = - 16
If a = 4 and b = - 4 ;
CHECK:
4 + (-4) = 4 - 4 = 0
4 * (-4) = - 16
HENCE, the two integers are 4 and - 4 or - 4 and 4