=========================================================
Explanation:
E = event space = {5,6}
The event space represents the set of all things we want to happen: namely rolling a 5 or a 6, since they are larger than 4.
S = sample space = {1,2,3,4,5,6}
The sample space is the set of all possible outcomes, whether we want them to happen or not. We have 6 possible outcomes.
Divide the number of items in each set
n(E) = 2
n(S) = 6
probability = n(E)/n(S) = 2/6 = 1/3
There's a 1 in 3 chance of rolling a number greater than 4.
Mr. lang has two sons the sum of their ages 19. the product of their ages is 84. how old is Mr. lang youngest son
Answer: The age of Mr. Lang's youngest son is 7 years old.
Step-by-step explanation:
Let's start by listing the factors of 84. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.
We can only use numbers that are under 19 since we must add up to that total. Now we are left with 1, 2, 3, 4, 6, 7, 12, and 14,
1 can't be an option since 18 is not there to pair with it to add together for 19. For the same reason we can eliminate 2, 3, 4, 6, and 14.
Now we are left with 7 and 12. Let's see is they will work.
7+12=19
7×12=84
It works! Since 7 is the smaller number that's the age of Mr. Lang's youngest son.
Answer:
7 !
Step-by-step explanation:Let's start by listing the factors of 84. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.
We can only use numbers that are under 19 since we must add up to that total. Now we are left with 1, 2, 3, 4, 6, 7, 12, and 14,
1 can't be an option since 18 is not there to pair with it to add together for 19. For the same reason we can eliminate 2, 3, 4, 6, and 14.
Now we are left with 7 and 12. Let's see is they will work.
7+12=19
7×12=84
It works! Since 7 is the smaller number that's the age of Mr. Lang's youngest son.
Peng bought 19 stationary bikes for $748 each. How much did she soend on stationary bike? Write an expression with the solution
Answer:[tex]\$ 14,212[/tex]
Step-by-step explanation:
Given
Peng bought 19 stationary bikes for $748 each
The cost of 19 bikes is the multiplication of the cost of each bike times the total bikes
[tex]\Rightarrow \text{Cost= }19\times 748\\\\\Rightarrow \text{Cost= }\$ 14,212[/tex]
Thus, she spends [tex]\$ 14,212[/tex] on 19 bikes.
Solve for all solutions of p.
We are given the equation below:
[tex] \large{ {p}^{2} = \frac{9}{36} }[/tex]
Use the property below:
[tex] \large \boxed{ {x}^{2} = \frac{a}{b} \longrightarrow x = \pm \frac{ \sqrt{a} }{ \sqrt{b} } \: \: (a \geqslant 0 \: \: and \: \: b > 0)}[/tex]
From the equation:
[tex] \large{p = \pm \frac{ \sqrt{9} }{ \sqrt{36} } } \\ \large{p = \pm \frac{3}{6} \longrightarrow p = \pm \frac{1}{2} }[/tex]
Hence the answer is p = ± 1/2.
Answer
p = 1/2, -1/2p = ± 1/2Both answers work. The second answer is in the plus-minus form.
Hope this helps! Let me know if you have any doubts.
a right triangle has legs of lengths 6 and 3, what is the length of the hypotenuse to the nearest tenth
Answer:
x = 6.7
Step-by-step explanation:
legs of a right triangle are 6,3 and hypotenuse be x
using pythagors theorem to find hypotenuse
a^2 + b^2 = c^2
6^2 + 3^3 = x^2
36 + 9 = x^2
45 = x^2
[tex]\sqrt{45} = x[/tex]
[tex]\sqrt{3*3*5} = x[/tex]
[tex]3\sqrt{5} = x[/tex]
6.70 =x
6.7 =x
PLZ HELP DUE TODAY MARK BRAINLLEST AND GIVE 25 POINTS
Answer:
592 divided by 16=37
Answer:
592 divided by 16 is 37
3 boxes on top:
5 tens + 92 = 592
Step-by-step explanation:
:)
How many cubic inches are in two-thirds of one cubic foot?
The expression
means 15 minus the product of 5 times the difference of p minus 6. If p = 8, then the value of the expression is
Answer:
5
Step-by-step explanation:
15-5(p-6)
15-5(8-6)
15-5(2)
15-10
5
PLEASEEEEE HELP THANK UUU
Answer:
{-3,-1,0,2}
Step-by-step explanation:
The range is the output values
The y values are
-3,-1,0,2
Rick is facing east.He makes three-quarters of complete turn clockwise.Which direction is Rick now facing?
Answer: directly north
=============================================
Explanation:
A one quarter turn is 1/4 of 360 degrees, so it's (1/4)*360 = 90 degrees.
Three quarters of a full turn is (3/4)*360 = 270, or you could triple the 90 to get 90*3 = 270.
Rick starts facing directly east. Then he rotates 270 degrees clockwise to end up facing directly north. Refer to the diagram below.
What is the value of x?
Answer:
29
Step-by-step explanation:
The right triangle is isosceles triangle so we have the left angle of it is:
180-64=116
116÷2=58
Then start to calculate the left triangle angles:
180-58 = 122
180-122 = 58
58÷2 = 29
what is the area and the perimeter of this figure?
someone plzz helpp mee !
show full working outs
i only have 15mins to finish this assignment
Answer:
area=54
perimeter=30
Step-by-step explanation:
add all the sides=p
multiply 6 and 3 then 6 and 6 and add them together=a
Answer:
perimeter = a+b+c+d+e+f+g
= 6 +3+2+6+6+2+3= 28
area=first of all find the area one by one
area of the lying rectangle is.
a=l×b
but first let's add 3+3 =6
b=6
a=6×6
a=36
area of the standing rectangle
a=l×b
let's add 6+6=12 &2+2=4
a=l×b
a=12×4=48
then let's add both area together
36+48=84
therefore perimeter is 28 and area is 84
Step-by-step explanation:
why is double 6 is because the length are the same.
write short note on the rules on how to bisect a line
Answer:
here the answer is
If u want nore help please follow
Step-by-step explanation:
STEP 1: Draw a straight line with a ruler. STEP 2: Put the pin of a compass at the end of the line you want to bisect. Set the compass to more than half the length of the line, and draw an arc crossing the line. STEP 3: Keep the width of the compass the same, and from the opposite end of the line draw another arc.
Answer:
First, in your compass take more than half of the given line, i.e, if the line is 5 centimeters, then in the compass take a length more than five centimeters.
Second, Draw an arc, by keeping the compass needle on one end of the line, and do the same by keeping it on the other end.
Two of the arcs will intersect at a point.
Third, do the same, but in the back-ward direction, as in the below of the line. These two will also intersect.
Lastly, draw a line connecting the intersection of the top and below arcs.
I couldnt add the last pic because of the 5 attachments rule. Like I said in the last rule, just join the two arc intersections.
Thank You
Hope u understood
Consultant plans a survey to determine what % of the patients in a particular hospital were satisfied with the care they received after a major treatment. How many such patients should be surveyed so the margin of error for a 90% confidence interval is within .05? Suppose it is known from a past survey that such a % may be about 80%.
Solution:
Required margin of error = 0.05
Estimated population proportion p = 0.8
Significance level = 0.10
The [tex]\text{provided estimate population proportion}[/tex] p is 0.8
The significance level, α = 0.1 is [tex]z_c=1.645[/tex], which is obtained by looking into a standard normal probability table.
The number of patients surveyed to estimate the population proportion p within the required margin of error :
[tex]$n \geq p(1-p)\left(\frac{z_c}{E}\right)^2$[/tex]
[tex]$=0.8\times (1-0.8)\left(\frac{1.64}{0.05}\right)^2$[/tex]
= 173.15
Therefore, the number of patients surveyed to satisfy the condition is n ≥ 173.15 and it must be an integer number.
Thus we conclude that the number of patients surveyed so the margin of error of 90% confidence interval is within 0.05 are n= 174.
Can someone tell me step by step on how to solve this?
Answer:
[tex]\text{B. }\triangle DKM[/tex]
Step-by-step explanation:
When naming a triangle or any polygon, the name should consists of either the center of the polygon or each of the vertices (points) of the triangle. In this case, no center is labelled, so we will use the vertices to name the triangle.
The vertices or points of the triangle are D, K, and M. Therefore, we name this triangle by writing a triangle symbol [tex]\triangle[/tex] followed by these vertices.
Unless you're comparing it to another polygon (e.g. writing a similarity statement), the order of which you list the vertices does not matter, but you should start with a point and move either clockwise or counterclockwise until you list every point. Therefore, the answer is [tex]\boxed{\text{B. }\triangle DKM}[/tex].
Find the value of "a" and please explain.
Does this graph represent a function? Why or why not?
10
00
8
NJ
2
-10 -8 6 4-2,
2 4
8
8 10
-8-
-10+
O A. No, because it is not a straight line.
O B. Yes, because it is a curved line. •
C. No, because it fails the vertical line test.
D. Yes, because it passes the vertical line test.
Joe's lunch at a restaurant costs $13.00 without tax. He leaves the waiter a tip of 17% of the cost of the lunch, without tax. What is the total cost of the lunch, including the tips, without tax?
Answer: $15.21
Step-by-step explanation:
Given
Joe's lunch cost $13.00 without tax
He tipped the waiter with 17% of bill without tax
So, the amount of tip is
[tex]\Rightarrow 13\times 17\%\\\Rightarrow 13\times 0.17\\\Rightarrow \$2.21[/tex]
Total amount that food costs without tax is
[tex]\Rightarrow 13+2.21\\\Rightarrow \$15.21[/tex]
Find the surface area.
1 m
10 m
Answer:
[tex]A=69.11\ m^2[/tex]
Step-by-step explanation:
Given that,
The radius of cylinder, r = 1m
Height of the cylinder, h = 10 m
We need to find the surface area of the cylinder. The total surface area of a cylinder is given by :
[tex]A=2\pi r^2+2\pi rh\\\\A=2\pi r(r+h)[/tex]
Put all the values,
[tex]A=2\pi \times 1(1+10)\\\\=69.11\ m^2[/tex]
So, the surface area of the cylinder is equal to [tex]69.11\ m^2[/tex].
PLEASE HELP. !!!!!!!!!
Answer:
(-1,8)
Step-by-step explanation:
use formula
A(x,y) = A'(-y , -x)
coordinate point is
(-8,1)=(-1,8)
therefore the image of the (-8,1) after a reflection over the line y=-x is (-1,8)
Answer:
A'(-1,8)
Step-by-step explanation:
Initial point A(-8,1)
reflection about y=-x has the rule
x, y -> (-y, -x)
So
A(-8,1) -> A'(-1,8)
James drew a scaled version of Triangle J using a scale factor of 4 and labeled it Triangle K. The base of triangle J is 5 units and the height of triangle J is 4. What is the area of triangle K?
Answer:
160
Step-by-step explanation:
If the scale factor is 4, we would have to multiply the height and width by 4
4*5=20
4*4=16
Now to find the area of the triangle using the formula (20*16)/2
That equals to 160
select the correct answer
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
Im not positive but its either c or d
Nick spent 2.5 hours to travel a distance of 90 km by car. What is the rate of the car?
Answer:
36km/h
speed =distance/time
= 90/2.5
=36km/h
You have three quarters, two dimes, and five pennies in your pocket. You choose two coins without
looking.
a. P(quarter then dime) with replacement
b. P(dime then dime) without replacing
c. is part a Independent or Dependent? Explain.
d. Is Part b Independent or Dependent? Explain.
helpppppppppppp meeeeeeeeeeeeeeee
Answer:
Y=75x+125
Step-by-step explanation:
Your answer is correct. It is c. The equation is y=Mx+b where m is the slope and b is the y intercrept.
To get M (the slope), get the difference of y-y/x-x. You can use any value of y and x. So, 575-500/6-5=75/1 ot 75. Therefore 75 is m in the equation y=Mx+b.
To get b, you figure out what y is when x is 0. So, looking at the numbers, subtract 75 from 350, which means that y is 275 when x is 2. Subtract 75 again to get 200 (275-75) when x is 1. Subtract 75 one more time to get y when x is 0. 200-75=125. 125 is the y intercept.
Going back to the equation y-Mx+b. Fill in m and b. Y=75x+125.
HELP pleaseee..!!!!!!!!!!!!!
Answer:
a) 9yd
b) 12ft
Step-by-step explanation:
a) find the square root
b) divide 48 by 4
i need help plssss answer the question if you know
Answer:
149.59062 cm^2
Step-by-step explanation:
area of circle=πr^2
=3.142*(6.9)^2
=3.142*47.61
=149.59062 cm^2
help i need help lol
Answer:
D
Step-by-step explanation:
Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
7x + 2y = –1
7x + 2y = 1
14x + 4y = –1
14x + 4y = 1
Answer:
7x + 2y = 1
Step-by-step explanation:
First we find the slope m of the line
The slope of a line that passes through 2 points x1, y1 and x2 , y2 is given as
m = (y2 - y1)/(x2 - x1)
Considering the points (–3, 11) and K(1, –3), the slope of the line m
= (-3-11)/(1 --3)
= -14/4
= 7/2
the line JK may be given as
y - 11 = -7/2(x - -3)
multiply through the equation by 2
2y - 22 = -7(x + 3)
2y - 22 = -7x - 21
7x + 2y = 22 - 21
7x + 2y = 1
Answer:
B
Step-by-step explanation:
7x + 2y = 1
what is f(-2)?
please help
Answer:
f(-2) = 3
Step-by-step explanation:
Have a nice day!
and please tell me if I am wrong.
Answer: 3
Step-by-step explanation:
If you carefully look at the table, when f(x) is -2, x is 3
