Answer:
0.64 = 64% probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway
Step-by-step explanation:
We solve this question using these events as Venn sets.
I am going to say that:
Event A: Awarded the Macon Expressway.
Event B: Awarded the Seaview Expressway.
Probability that they will be awarded the Macon Expressway contract is 0.65
This means that [tex]P(A) = 0.65[/tex]
The probability that they will be awarded the Seaview Expressway contract is 0.43.
This means that [tex]P(B) = 0.43[/tex]
Furthermore, the probability that they will be awarded both contracts is 0.22.
This means that [tex]P(A \cap B) = 0.22[/tex]
What is the
Probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway?
Only A:
[tex]P(A) - P(A \cap B) = 0.65 - 0.22 = 0.43[/tex]
Only B:
[tex]P(B) - P(A \cap B) = 0.43 - 0.22 = 0.21[/tex]
Either
0.43 + 0.21 = 0.64
0.64 = 64% probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway
What if the bag did not tell us how many total servings and only told us how many total cups?
If the bag of dry fruit has 5 cups and each serving is ¼ of a cup, how many servings would the bag have?
Answer:
20 servings
Step-by-step explanation:
To find how many servings the bag would have, divide 5 by 0.25:
5/0.25
= 20
So, the bag would have 20 servings
Who know this answer
Answer: BASE 10
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer: 23
Step-by-step explanation:
x = 90 - 67
x = 23
Given the two triangles shown, find the value of x
Answer: x = 150/6 = 25
Step-by-step explanation:
Here is the information shown in the diagram: in triangle ABC, Angle A = 68, Angle C = 38, AB = 6, and BC = 10. In triangle DEF, Angle D = 38, Angle E = 74, EF = 15, and DE = x.)
The value of x is (Choose...4, 11, 12, 19, 20, 25).
To solve this, we notice that the sum of the angle measures mentioned is 68 + 38 + 74 = 180. Thus Triangles ABC and FED are similar by AA Similarity. It remains only to set up the proportion:
DE/CB = EF/BA
x/10 = 15/6
x = 150/6 = 25
The value of x in the triangle is 25
The triangle are similar.
What are similar triangles:Similar triangles are only different in sizes. There corresponding angles are equal and all corresponding side have the same ratios.
Therefore, let's find the value x by establishing the proportion below:
ΔABC ≅ ΔFED
AB / FE = BC / ED = AC / FD
6 / 15 = 10 / x
cross multiply
6x = 150
x = 150 / 6
x = 25
learn more on similar triangles: https://brainly.com/question/25882965?referrer=searchResults
Can someone please help I really need this to be correct.
6, 2, 7, 8, 8, 8, 5, 10, 10
What is the standard deviation of the data?
2.38 first cousins
2.52 first cousins
5.65 first cousins
6.36 first cousins
Answer:
2.52
Step-by-step explanation:
On edg
The following radical equation has a solution set {x = ?} and an extraneous root x = ?.
Answer:
x=2; the extraneous root x=42.
All the details are in the attached picture, the answer is marked with red colour.
The solution set is {2, 42} & the extraneous root is 42
What is extraneous root ?
If there are two roots in an equation, and one of them does not properly satisfy the equation, then the root is called extraneous root of that equation.
What are the roots ?Given equation is,
[tex]2+\sqrt{2x-3}=\sqrt{x+7}[/tex]
Squaring both sides we get,
[tex]2^{2} +2(2)(\sqrt{2x-3} )+(\sqrt{2x-3}) ^{2} = (\sqrt{x+7}) ^{2}[/tex]
⇒ [tex]4+4\sqrt{2x-3} +2x-3=x+7\\[/tex]
⇒ [tex]4\sqrt{2x-3} =6-x[/tex]
Again, squaring both sides we get,
⇒ [tex](4\sqrt{2x-3}) ^{2} =(6-x)^{2}[/tex]
⇒ [tex]16(2x-3)=6^{2} -12x+x^{2}[/tex]
⇒ [tex]32x-48=36-12x+x^{2}[/tex]
⇒ [tex]x^{2} -44x+84=0[/tex]
⇒ [tex]x^{2} -42x-2x+84=0[/tex]
⇒ [tex](x-42)(x-2)=0[/tex]
So, x = 2 & 42
Here extraneous root is 42.
Learn more about extraneous root here :
https://brainly.com/question/658096
#SPJ2
I think its perpendicular but I want to be sure. Will mark brainliest!
Answer:
Its perpendicular
Step-by-step explanation:
Because the slopes are recipricles of eachother
Donna and Darcy collected newspapers for recycling. Donna collected 5 3/4 pounds of newspaper. Darcy collected 2 1/4 pounds of newspaper. How much newspaper did they collect between them?
Answer:
8 pounds
Step-by-step explanation:
5 3/4 + 2 1/4 = 7 4/4 = 8
A school earns $70 from selling 50 tickets for the school play. Each ticket costs the same price.
How much does the school earn for one ticket ??
(-4)-(-2)-{(-5)-[(-7)+(-3)-(-8)]}
Answer:
1
Explanation:
I used the calculator.
13 The Lozano's chartered a boat over the holiday
weekend. The cost for the day was $350 plus the
6.5% sales tax. They also decided to tip their
guide 25% of the original cost of the boat rental.
What is the total amount they paid?
Answer:
$460.25
Step-by-step explanation:
350 + .065(350) + .25(350)
= 350 + 22.75 + 87.5
$460.25
Can someone please help me..
Want to choose 2 letters ,without replacement, from 5 letters
help me please I've been stuck all day
Please help.A teacher asked her pupils what their favourite school subject was.
PE
27
Maths
English
135
Science
3 pupils said PE was their favourite subject.
How many pupils said that Maths was their favourite subject?
Homework (5)
18. GEOGRAPHY In the continental United States,
the ratio of states that border an ocean to states
that do not border an ocean is 7:9. How many
of the states border an ocean?
Answer:
28
Step-by-step explanation:
Let's set the ratio as
7x : 9x
If you add all the states that border an ocean and do not, you will get 48 states (because Alaska and Hawaii are not part of the continental US, as they do not touch the "main" part of the country)
So, we can write this equation.
7x + 9x = 48
Simplify.
16x = 48
Divide both sides by 16.
x = 4
Now, find how many states border an ocean. In our ratio, the number of states that border an ocean was 7x. Substitute x = 4 into 7x
7 * x = 7 * 4 = 28
The number of states that border an ocean is 28.
I hope this helps! Feel free to ask any questions!
Which expression is equivalent to x2-16 ?
Answer:
Step-by-step explanation:
You should indicate which type of expression are you expecting.
But intuitively, x^2 + 16 = x^4 + 4^2 = (x+4)^2 - 8x
Please need help thank
Answer:
5/6 yard
Step-by-step explanation:
6/6 - 1/6= 5/6 yard
What fraction of the shape is shaded?
Answer:
1.75/8 would be your answer if im right.
Answer:
dude I want the same ans can anyone help plzz
Consider the expression 16a + 4c.
Part B
What is the value of the expression
when a = -2 and c = -1?
HELP! please explain how to solve the point of maximum growth rate for the logistic function?!?? I'm really confused!
Answer:
18 units over 210 units of time
Step-by-step explanation:
the function reaches its limit at 116 and starts at 0 at -94
|-94|+|116|=210
Are the ratios 9:15 and 3:5 equivalent
Answer: true
Step-by-step explanation:
Pls answer this for mw
Answer:
True.
Step-by-step explanation:
< ABF and < FBE are supplementary angles because when we sum up both we get 180°
Hope it will help :)❤
pls pls pls pls helpppp
Answer:
30
Step-by-step explanation:
21*10=210
210/7=30
x=30
Answer:
30..
Explanation
Tell whether the angles are adjacent or vertical. Then find the value of x
Answer:
this is the answer
Step-by-step explanation:
hope this will help you
The angles are adjacent and complementary.
Complementary means they add up to 90 degrees.
3x + 45 = 90
3x = 90 - 55
3x = 45
x = 45/3
x = 15
The value of x is 15 degrees.
‼️PLEASE HELP‼️
A
B
C
D
2) The difference of two numbers is 13. Their sum is 85. Find the numbers.
What’s the answer
Answer:
49 and 36
Step-by-step explanation:
49 - 36 = 13
49 + 36 = 85
Answer:solving we get y=6 x+y=85
x-y=13
add the equations
2x=98
x=98/2
x=49
85-49=36
the numbers are 49 and 36
Hope this helps have a awesome night/day❤️✨
Step-by-step explanation:
Write the decimal 2.06 as a mixed number.
Written as a mixed number, the decimal 2.06 is
Answer:
[tex]2\frac{3}{50}[/tex]
Step-by-step explanation:
So 2 would be your whole number
and since 6 is in the hundredths place the fraction would be 6/100 which is reduced to 3/50
Solve for a.
−10 = 1/5 a
PLZ HELP I NEED ANSWER ASAP
Answer:
-50
Step-by-step explanation:
Answer:
a = -50
Step-by-step explanation:
-10 = 1/5a
multiply both sides of the equation by 5:
a = -50