Answer:
a) 2/44 = 0.045
b) 9/22 = 0.409
Step-by-step explanation:
a) The probability the first can is diet soda is 3/12.
The probability the second can is diet soda is 2/11.
The probability of both is (3/12) (2/11) = 2/44 ≈ 0.045.
Alternatively, you can use combinations:
₃C₂ × ₉C₀ / (₁₂C₂) = 2/44
b) If the first can is diet soda, and the second can isn't, the probability is (3/12) (9/11) = 9/44.
If the first can isn't diet soda, and the second can is, the probability is (9/12) (3/11) = 9/44.
The total probability is 9/44 + 9/44 = 9/22 ≈ 0.409.
Alternatively, using combinations:
₃C₁ × ₉C₁ / (₁₂C₂) = 9/22
The two lines intersected by the transversal are parallel. What is the value of x?
1? HSHSHSHSHSHSHHSHSHSHS
Answer:
Step-by-step explanation:
Angles on the same side of the transversal are supplementary.
(4x-8)+(3x-1)=180
=7x-8-1=180
=7x-9=180
7x=180+9
7x=189
x=189/7
x=27
Hope it helped..
a car traveled 212 km in 5 hours what was the cars average speed
Answer:
42.4 mph
Step-by-step explanation:
5÷212= 42.4mph (average speed)
Easy:
On Tuesday, the school cafeteria served 973 lunches.
Round the number of lunches to the nearest hundred
Answer: 1000
Step-by-step explanation: since the number next to it is a seven and seven is closer to ten and ten is the first two digits of the answer. The answer is 1000.
Round the integer number 973 nearest hundred will be 1000.
What is the rounding of a number?The action of forming anything into a circle. Mathematics. the act of substituting a number with one that is roughly equivalent in value but has fewer digits: To the closest dollar, rounding $27.68 results in $28. a comparable procedure that identifies one of several rules.
The integer is given below.
⇒ 973
Round the number 973 nearest hundred.
If the tens place is more than 5, then the hundred places will be increased by one.
In the tens place is 7, then the number 9 is increased by one that is 10.
Round the integer number 973 nearest hundred will be 1000.
More about the rounding of a number link is given below.
https://brainly.com/question/19031319
#SPJ2
I need help please please
Answer:
A
Step-by-step explanation:
Rotates and then translates 7 to the left.
A boat heading out to sea starts out at Point A, at a horizontal distance
of 1390 feet from a lighthouse/the shore. From that point, the boat's
crew measures the angle of elevation to the lighthouse's beacon-light
from that point to be 7º. At some later time, the crew measures the
angle of elevation from point B to be 4°. Find the distance from point
A to point B. Round your answer to the nearest foot if necessary.
Step-by-step explanation:
I assume the boat is going straight out on the same horizontal line.
we have 2 right-angled triangles.
at point A
there is the ground distance from A to the lighthouse. which is 1390 ft.
then there is the height of the lighthouse.
and the line of sight from A to the lighthouse light.
the angle at A is 7°.
the angle at the bottom of the lighthouse is 90°.
therefore, the angle at the lighthouse light = 180 - 90 - 7 = 83°.
at point B
the ground distance from B to the lighthouse.
the height of the lighthouse again.
and the line of sight of B to the lighthouse light.
the angle at B = 4°.
the angle at the lighthouse bottom is again 90°.
therefore, the Angie at the lighthouse light is 180 - 90 - 4 = 86°.
we need the law of sine to solve this and find the missing side lengths.
a/sin(A) = b/sin(B) = c/sin(C)
with the sides and the correlated angles being opposite.
the first we need to do is finding the height of the lighthouse via triangle A, so that we can use it then also in triangle B.
1390/sin(83) = height/sin(7)
lighthouse height = 1390×sin(7)/sin(83) = 170.6705397... ft
now, we can use that in triangle B to get the ground distance to the lighthouse :
height/sin(4) = ground distance/sin(86)
ground distance = height×sin(86)/sin(4) =
= 2,440.702427... ft
the distance from A to B is the difference between that ground distance and the original distance of 1390 ft :
2,440.702427... - 1390 = 1,050.702427... ft ≈
≈ 1,051 ft
1 There are 10 girls and 5 boys in a class
What is the ratio of the number of girls to the number of boys?
What is the ratio of the number of boys to the number of girls?
Ratios are written as fractions:
The ratio of girls to boys would be girls / boys = 10/5 which can be reduces to 2/1
The ratio of boys to girls would be boys / girls = 5/10 which can be reduced to 1/2
I need help finding x
Answer:
the value of x is 18
Step-by-step explanation:
4x+17+91=180(Liner pair)
4x=180-108
4x=72
x=72/4
so,x=18
WHAT I KNOW
CAN YOU DO THIS? LET'S HAVE A GUESSING GAME ON POLYGONS.
__________1. I AM A POLYGON WITH FOUR EQUAL SIDES AND 4 RIGHT CORNERS. WHAT AM I?
__________2.I HAVE THREE SIDES AND THREE ANGLES. WHAT AM I?
__________3. I HAVE TWO PAIRS OF PARALLEL SIDES AND FOUR RIGHT ANGLES. WHAT SHAPE AM I?
__________4. I AM A POLYGON WITH 4 SIDES AND ONE PAIR OF WHICH IS PARALLEL. WHAT AM I?
__________5. I HAVE TWO OF OPPOSITE SIDES WHICH ARE PARALLEL. WHAT AM I?
PLS ANSWER
Answer:
1. Square
A square has 4 side of equal lengths, and all right angles.
2. Triangle
A triangle has 3 sides and 3 angles. It could either be an isosceles, equilateral or obtuse triangle.
3. Rectangle
A rectangle has 4 sides. 2 are parallel and the other 2 are parallel. All angles are 90 degrees.
4. Trapezoid
This shape has 4 sides. Only 1 pair of sides is parallel. The other 2 sides are not parallel
5. Parallelogram
It has 4 sides, and both pair of opposite sides are parallel.
Find the quotient of 2 7/8 and 3 5/6
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given the following question:
[tex]2\frac{7}{8} \div3\frac{5}{6}[/tex]
To find the answer we need to convert the mixed numbers into improper fractions, then we apply KCF (Keep, Change, Flip) to the equation and then we solve.
[tex]2\frac{7}{8} \div3\frac{5}{6}[/tex]
[tex]2\frac{7}{8} =8\times2=16+7=23=\frac{23}{8}[/tex]
[tex]3\frac{5}{6} =6\times3=18+5=23=\frac{23}{6}[/tex]
[tex]\frac{28}{8} \div\frac{23}{6}[/tex]
Apply KCF:
[tex]\frac{28}{8} \div\frac{23}{6}[/tex]
[tex]\frac{28}{8} \times\frac{6}{23}[/tex]
[tex]28\times6=168[/tex]
[tex]8\times23=184[/tex]
[tex]=\frac{168}{184}[/tex]
Simplify by reducing:
[tex]\frac{168}{184}[/tex]
[tex]=\frac{168}{184}\div46=\frac{3}{4}[/tex]
[tex]=\frac{3}{4}[/tex]
Your answer is "3/4."
Hope this helps.
Please do this word document and attach it after your done.
Answer:
See below.
Step-by-step explanation:
1) E and S
2) Pentagon
3) No, No, Yes
4) Infinite
5)
a. 4, 90°
b. 4 plates
c. Yes, see attachment.
My apologies if the picture isn't very neat/clear.
Step-by-step explanation:
[tex]1) \: e \: and \: s \\ 2) \: pentagon \\ 3) \: no \: no \: yes \\ 4)infinite \\ 5)4 \: \: \: \: \: . \: 90 \\ b) \: uplates \\ c) \: yes \: see \: attachment[/tex]
# Jerry Don is here#
In the five sixth grade classrooms there are 26,29,31,33,36 what is their average mean number
Answer:
the answer you're looking for is 31
Slove for x
Show all work
Answer: 20
Step-by-step explanation:
Answer:
x=20
Step-by-step explanation:
[tex]x^2=8(8+42)\\\\x^2=8*50\\\\x=20[/tex]
~
At first, Brianna earned a score of 90 on the quiz. She discovered that 4 had been taken off by mistake. Brianna showed the teacher, removed the 4-points deduction. Which two quiz scores could be used to find Briannas new quiz score
Answer:
90 - ( -4 ) and 90 + 4
Step-by-step explanation:
I got it correct on the test :)
I need to figure this out for a quiz in APEX. I can get the rest if I understand how to do this one.
Answer:
the answer is b
Step-by-step explanation
As part of a training program for the Boston Marathon, a runner wants to build endurance by running at a rate of 9 mph for 20 min. How far will the runner travel in that time period?
Answer:
3 miles
Step-by-step explanation
Distance = rate x time
d=rt
rate = 9
time= 20 minutes but we need this in terms of hours since the rate is 9 miles per hour
t = 20/60 = 1/3
so d = 9(1/3) = 3 miles
A. 1620
B. 247.50
C. 234
Answer:
C
Step-by-step explanation:
use Pythagorean theorem to get the missing side of the triangle as 12.
Find the area of the triangle and add ot to the area of the rectangle...so (9)(12)/2=54 for area of triangle + area of rectangle is (15)(12)=180. so 54 + 180 = 234
Recently, the National Safety Council collected data on the leading causes of accidental death. The findings revealed that for people age 20, 30 died from a fall, 47 from fire, 200 from drowning, and 1950 from motor vehicle accidents. What percent of the accidental deaths were not attributed to motor vehicle accidents? Round to the nearest percent.
Answer: 10.193
Step-by-step explanation:
Lisa walks at a speed of 3.25 miles per hour for 1.5 hours. How many miles does she walks in all? Complete the area model that represents 1.5*3.25.
Answer:
5.25 miles
Step-by-step explanation:
PLZZZZZZZZZZ HELP ME ILL MAKE YOU BEANLIEST ANSWER PLLZZZZZ THANK YOUUUU!!!!!!!
who giving that Ash Kashhh on this app I need it
Answer:
BRUHHHH IM WEAK
Step-by-step explanation:
no one is giving ash kash on here
Answer:
You get points by ansewing others questions on the app. The points are given to you through the app, the points are not real money. A user asking a question can choose how much points to give any one who answers their question.
Step-by-step explanation:
HOPE THIS HELPS!!!!!!!
HELP ASAP PLEASE!!
Does this image show an enlargement or a reduction?
An equilateral triangle with a side length of 3.4. An arrow points to a smaller equilateral triangle with a side length of 1.7
Enter your answer in the first Blank.
What scale factor was used?
Answer:
the image shows reduction
Step-by-step explanation:
1.7
Answer:
0.5
Step-by-step explanation:
First divide 1.7 to 3.4 and then you get your answer
Hope this helps :)
Please help me this is really confusing
Answer:
$4,637.50
Step-by-step explanation:
Find the distance between 4 2/3 and −5 1/3 on a number line. Write your answer in the simplest form.
Answer:
3/25
Step-by-step explanation:
60 PTS!! We often use functions to model or represent situations and relationships. These
representations can be as equations, graphs, tables, or even verbal descriptions.
What does it mean to "represent" something? In what other situations have you heard that term used, and how was its meaning in those situations similar to its usage in
algebra?
Answer:
one variabk depends on another variable to help
A function is a relation between two sets of variables such that one variable depends on another variable. We can represent different types of functions in different ways. Usually, functions are represented using formulas or graphs. There are four ways for the representation of a function
Algebraically= mathematical model
Numerically=table of values or chart
Visually=continuous graph or scooter plot
Verbally=Word description
Step-by-step explanation:
1 1/2 - 2/3 ÷ 4 2/5 × 3/4
Answer:
145/36
Step-by-step explanation:
(29/6) / (6/5) = 145/36
Answer:
29/6÷ 4(3/10)
145/36
Step-by-step explanation:
on a family outing tyler bought 5 cups of hot cocoa and 4 pretzels for $18.50. Some of his family members would like a second serving, so he went back to the same food stand and bought another 2 cups of hot cocoa and 4 pretzels
Answer:
5c+4p = 18.50
2c+4p = 11.20
Cost of cup = $2.4
cost of pretzels = $1.625
Step-by-step explanation:
Note:
2 cups of hot cocoa and 4 pretzels for $11.30
Computation:
5c+4p = 18.50........eq1
2c+4p = 11.30........eq2
Where c = cost of cup
p = cost of pretzels
From eq1 - eq2
3c = 7.20
c = 2.4
Cost of cup = $2.4
5c+4p = 18.50
5(2.4) + 4p = 18.50
p = 1.625
cost of pretzels = $1.625
NEED ANSWER ASAP
The table below has input values X and output values Y
Answer:each input has one output
Step-by-step explanation: functions are only accurate when each input has only one output, but outputs can have more than one input.
In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 23% of your total grade, each major test is worth 22.5%, and the final exam is worth 32%. Compute the weighted average for the following scores: 85 on the lab, 95 on the first major test, 91 on the second major test, and 76 on the final exam. (Enter your answer to one decimal place.)
Answer:
The weighted average for the following score is [tex]W = 85.72[/tex]
Step-by-step explanation:
From the question we are told that
The worth of the lab score is 23% of total grade i.e 0.23
The worth of each major test is 22.5% of the total grade 0.225
The worth of the final exam is 32% of the total grade 0.32
The score on lab is 85
The score on first major test is 95
The score on the second major test is 91
The score on the final exam is 76
Generally the weighted average is mathematically represented as
[tex]W = [0.23 * 85 ]+ [0.225 * 95] + [0.225 * 91 ]+ [0.32 *76 ][/tex]
=> [tex]W = 85.72[/tex]
write an equation of the line below
Answer:
y = 3/5 + 4
Step-by-step explanation:
Given Coordiantes:
(0,4) - Y-intercept
(5,7) - Coordinates
To make an equation, first find the slope.
[tex]m=\frac{rise}{run} =\frac{y}{x}[/tex]
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
[tex]m=\frac{7-4}{5-0}[/tex]
[tex]m=\frac{3}{5}[/tex]
In decimals:
[tex]m = 0.6[/tex]
Now convert to point slope.
[tex]y-y_{1} =m(x-x_{1} )[/tex]
[tex]y-4=\frac{3}{5} (x-0)[/tex]
In decimals:
[tex]y-4=0.6(x-0)[/tex]
Now convert to slope-intercept form.
Find the Equation of the Line:
[tex]y=mx+b[/tex]
by solving for y using the Point Slope Equation.
y = 3/5 + 4
when your cousin was born, she was 21 4/5 inches long. when your friends was born he was 21 3/4 inches long. who was longer at birth? how much longer?
Answer:
The cousin would be longer.
Step-by-step explanation:
4/5 = .8, and 3/4= .75, making the cousin longer at birth.