Answer:
The probability [tex]P(\^ p > 0.80) = 0.99957[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.90
The sample size is n = 30
Generally mean of the sampling distribution is [tex]\mu_{\= x } = p = 0.90[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{p( -p )}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.90( 1 -0.90 )}{100} }[/tex]
=> [tex]\sigma = 0.03[/tex]
Generally the he probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places is mathematically represented as
[tex]P(\^ p > 0.80) = P(\frac{ \^ p - p }{ \sigma } > \frac{0.80 - 0.90}{0.03} )[/tex]
Generally [tex]\frac{\^p - p}{\sigma} = Z(The standardized \ value \ of \^ p)[/tex]
So
[tex]P(\^ p > 0.80) = P(Z > -3.33 )[/tex]
From the z-table [tex]P(Z > -3.33 ) = 0.99957[/tex]
So
[tex]P(\^ p > 0.80) = 0.99957[/tex]
7. Robert poys for his family to go bowling. He pays an initial fee
to rent shoes for everyone and then pays a certain amount
per game that his family plays as shown in the graph
How much did Robert pay to rent shoes for
everyone
Total Cost
What was the cost per game at the
bowling alley?
c. Write an equation to represent the situation
Number of Gomes
Answer:
a)Robert pay $12 to rent shoes for everyone
b)Cost of each game is 4.5
c)y = 4.5x+12
Step-by-step explanation:
Refer the attached graph
a)How much did Robert pay to rent shoes for everyone ?
y - intercept will give the rent shoes for everyone
y intercept is point where the graph of a function or relation intersects the y -axis of the coordinate system.
So, from the graph we can see that at x = 0 , y = 12
So, from the graph we can see that the no. of games is 0 . So, Total cost is 12
Thus Robert pay $12 to rent shoes for everyone
b)What was the cost per game at the bowling alley?
So, we are supposed to find the slope
Two pints from graph :
[tex](x_1,y_1)=(0,12)(x_2,y_2)=(2,21)m = \frac{y_2-y_1}{x_2-x_1}=\frac{21-12}{2-0}=4.5[/tex]
So, Cost of each game is 4.5
c)Write an equation to represent the situation Number of Gomes
General equation : y = mx+c
So, y = 4.5x+12
-15b - 20
factorise fully
!!!
Answer:
-5 (3b+4)
Step-by-step explanation:
-15b - 20
-5 (3b+4)
i need help in finding numerical value please
Answer:
Step-by-step explanation:
[tex]\sqrt{18}=\sqrt{2*3*3}=3\sqrt{2}[/tex]
[tex]\sqrt{12}=\sqrt{2*2*3}=2\sqrt{3}[/tex]
[tex]A=\sqrt{2}+\sqrt{18}\\\\=\sqrt{2}+3\sqrt{2}\\\\=(1+3)\sqrt{2}\\\\=4\sqrt{2}[/tex]
[tex]B=\sqrt{3}+\sqrt{12}=\sqrt{3}+2\sqrt{3}\\\\ = (1+2)\sqrt{3}\\\\ = 3\sqrt{3}[/tex]
[tex]\sqrt{B^{2}+A^{2}-2*B*A}=\sqrt{(B-A)^{2}}\\\\=B-A\\\\=3\sqrt{3}-4\sqrt{2}[/tex]
= 3* 1.732 - 4 *1.4142
= 5.196 - 5.6568
= -0.4608
Exact Answer: [tex]4\sqrt{2} - 3\sqrt{3}[/tex]
Approximate Answer: 0.46070182678574
Round the approximate value however you need to.
=================================================
Work Shown:
[tex]C = \sqrt{ B^2 + A^2 - 2BA}\\\\C = \sqrt{ B^2 - 2BA + A^2}\\\\C = \sqrt{ (B-A)^2 }\\\\C = -(B-A) \ \ \text{ see note below}\\\\C = -B+A\\\\C = A-B\\\\C = (A) - (B)\\\\[/tex]
[tex]C = (\sqrt{2}+\sqrt{18}) - (\sqrt{3}+\sqrt{12})\\\\C = \sqrt{2}+\sqrt{18} - \sqrt{3}-\sqrt{12}\\\\C = \sqrt{2}+\sqrt{9*2} - \sqrt{3}-\sqrt{4*3}\\\\C = \sqrt{2}+\sqrt{9}*\sqrt{2} - \sqrt{3}-\sqrt{4}*\sqrt{3}\\\\C = \sqrt{2}+3\sqrt{2} - \sqrt{3}-2\sqrt{3}\\\\C = 4\sqrt{2} - 3\sqrt{3} \ \ \text{ ..... exact value}\\\\C \approx 0.46070182678574 \ \ \text{ ..... approximate value}[/tex]
-------------------
Note: The rule used here is
If x is positive then [tex]\sqrt{x^2} = x[/tex]
Or if x is negative, then [tex]\sqrt{x^2} = -x[/tex]
Since B-A = -0.4607 approximately, we will use the second version of the rule above.
Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s). ∆ABC and ∆FDE are congruent by the criterion. (Use the three-letter abbreviation without spaces.) The value of x is , and the value of y is .
*See attachment for the given diagram.
Answer:
∆ABC and ∆FDE are congruent by the SSS criterion.
The value of x is 11 and the value of y is 8
Step-by-step explanation:
Based on the Side-Side-Side (SSS) Congruence Theorem, ∆ABC and ∆FDE are congruent to each other. The 3 sides of ∆ABC are congruent to the 3 given sides of ∆FDE.
Thus:
AB ≅ DF
BC ≅ DE
CA ≅ FE
Find x:
Since BC ≅ DE, therefore measure of BC = measure of DE.
BC = x + 3
DE = 14
Thus,
x + 3 = 14
Subtract 3 from each side
x = 14 - 3
x = 11
Find y:
Since AB ≅ DF, therefore the measure of both sides are equal.
AB = 3
DF = x - y
Thus,
x - y = 3
Substitute x = 11 into the equation
11 - y = 3
Subtract 11 from both sides
-y = 3 - 11
-y = -8
Divide both sides by -1
y = -8/-1
y = 8
Answer:
Below
Step-by-step explanation:
got it right
Can someone translate this graph to me? It’s supposed to tell me how much dirt is in cubic yards
−8x+9y=-21 -3x+9y=−36
Answer:
x=-3 y=-5
Step-by-step explanation:
big brain
During a lunch period, a survey is done about the students at LCHS with the following results:
1 out of 28 students are wearing a blue t-shirt
1 out of 2 students are girls
1 out of 3 students has a class in C Hall
1 out of 14 students are in band
What are the chances (probability) of randomly selecting a female band member wearing a blue t-shirt who has a class in C hall? Show work.
Answer:
1 in 47.
Step-by-step explanation:
Add all of the outcomes (28 + 2 + 3 + 14).
You'll get 47.
Do not add the 1s.
There is your answer.
1 in 47.
If 3x - 8 = 9x+5/2, what is the value of x+ 7?
See attachment for math work and answer.
Help me out please I'll give brain list
Answer:
b
Step-by-step explanation:
hope this helps
There are 28 roses and 35 carnations. Anna is making flower arrangements using both flowers, what is the maximum number of arrangements she could make?
Answer:
The maximum amount of flower arrangements she can make are 28.
Step-by-step explanation:
There are enough roses and carnations to make 28 flower arrangements. There will still be leftover carnations but that's fine.
You do this by finding the smaller number of flowers and grouping them with the other flower so it makes a group of two. If the other flower had 2x the amount of the smaller flower, them group them in a group of 3; 1 : 2
But this is only used to make the maximum amount. this is not the efficient way to go but this is the way to go if you are finding the max amount.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Combine like terms to simplify the expression. 5 x + 4 + 2 x + 5
Answer:
[tex] \huge{ \boxed{ \bold{ \text{7x + 9}}}}[/tex]
Step-by-step explanation:
[tex] \text{5x + 4 + 2x + 5}[/tex]
[tex] \text{Combine \: like \: terms} : [/tex]
[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base.}[/tex]
[tex] ➝ \: \text{5x + 2x + 4 + 5}[/tex]
➝ [tex] \text{ 7x + 4 + 5}[/tex]
[tex] \text{Add \: the \: numbers : 4 \: and \: 5}[/tex]
[tex] ➝ \: \text{7x + 9}[/tex]
[tex] \text{Hope \: I \: helped}[/tex]!
[tex] \text{Best \: regards}[/tex]!
~[tex] \mathfrak{TheAnimeGirl}[/tex]
Answer:
7x + 9
Step-by-step explanation:
Combine like terms, means put the ones that have something in common together; in this case they are the terms with an 'x' value, and a regular numeric value.
5x+2x = 7x
5+4 = 9
therefore:
7x+9
What is the square root of 51.84
Camillo needs 2,400 oz of peanut butter.
What size container should Camillo buy?How many of those containers will he need?What will be the total cost of those containers?
Answer:
1. 32
2. 75
3. 384
Step-by-step explanation:
I did the assignment, on EDGE2020 and got it correct
Measure the angle and classify it as right, acute, or obtuse.
Answer:
b
Step-by-step explanation:
Use PEMDAS to solve the following Order of Operations problem. 4 x 7-6^2÷ 3 = _______
Answer:
16
Step-by-step explanation:
4 x 7 - 6 x 6/3
4 x 7 - 36 / 3
28 - 36 / 3
28 - 12
16
ax+bx=c solve for x
Answer:
x= c/a+b
Step-by-step explanation:
A quadrilateral has coordinates of (-4,3), (-3,8). (2,5), and (1, -7).
Enter the perimeter of this quadrilateral rounded to the nearest whole unit.
Answer:
The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.
Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.
You can see the image below, where i did a rough sketch of the problem.
in the image, you can see that the sides of this rectangle are the ones formed by the pairs:
(-4,3) and (-2, 8)
(-2, 8) and (2, 5)
(2,5 ) and (1, -7)
(1, - 7) and (-4, 3)
Now let's calculate the length of each side.
Remember that when we have two points (a, b) and (c, d) the distance is:
D = √( (a - c)^2 + (b - d)^2)
Now we need to calculate four distances:
(-4,3) and (-2, 8)
D1 = √( (-4 + 2)^2 + (3 - 8)^2) = 5.39
(-2, 8) and (2, 5)
D2 = √( (-2 - 2)^2 + (8 - 5)^2) = 5
(2,5 ) and (1, -7)
D3 = √( (2 - 1)^2 + (5 + 7)^2) = 12.04
(1, - 7) and (-4, 3)
D4 = √( (1 +4)^2 + (-7 -3)^2) = 11.18
Now we add those four distances to get the perimeter:
P = 5.39 + 5 + 12.04 + 11.18 = 33.61
And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:
p = 37
what is 8.8x10^5 in standard notation?
Answer:
880,000
Step-by-step explanation:
Move the decimal in 8.8 five places to the right.
Employees at a medical supply company are mixing saline solution for use in IVs. They start with 50 liters of 12% solution. To this, they plan to add 10% solution. How many liters of the 10% solution should they add in order to obtain a finished product that is 11% saline?
Answer:
50 liters of the 10% solution should be added
Step-by-step explanation:
Here, we want to calculate the number of liters of the 10% solution that should be added
Let the number of 10% solution to be added be x liters
So total liters is now x + 50
Thus;
50 liters of 12% + x liters of 10% = (x + 50) liters of 11 %
Hence
12/100 * 50 + 10/100 * x = 11/100 * (x + 50)
0.12(50) + 0.1(x) = 0.11(x + 50)
6 + 0.1x = 0.11x + 5.5
6 - 5.5 = 0.11x - 0.1x
0.5 = 0.01x
x = 0.5/0.01
x = 50
Can anyone help me ?
SCory earns $20 per day plus $6 for every sale he makes. On Saturday, he wants to earn at least $50. Which best describes the number of sales he needs to make to reach his goal? (Hint: Write an inequality to find solution.)
Answer:
5 sales is the answer now give brainliest
Answer:
He would have to make 5 sales.
Step-by-step explanation:
To write this as an inequality, you would write it as 20 + 6(x).
Anybody Need help!? I'm on here for 1 more hour! :)
Answer:
i need help on this
What are some other things that have been engineered to help people deal with the effects of gravity?
Do you know how to do this- How does Douglass’s cultural point of view as a slave from the early 1800’s shape his motivation to become literate, yet also create obstacles for him? Provide at least two examples from the text. Write at least a 100-word response.
Like- I've been stuck for an hour
Two consecutive odd Integers have a sum of 72. What are the two odd
Integers
Answer:
35 and 37
Step-by-step explanation:
Answer:
35 and 37
Step-by-step explanation:
Answer:
the first rectangle im pretty sure is 32
the second one is 12.8
Step-by-step explanation:
half of 8 is 4 and half of 25.6 is 12.8
I don’t understand can u please get help
Answer:
If one angel is 74 so the solution is
[tex]74 + 2x = 180 \\ 2x = 180 - 74 \\ x = 106 \div2 \\ \: x = 53 \\ u = 74 \\ v = 53 \\ w = 53[/tex]
Step-by-step explanation:
Please mark as brainliest
Can anyone help me out with this Algebra 2 question?
Answer:
i was taught it would be answer D
Step-by-step explanation:
Answer:
The right answer is C
and this how it looks like on the graph
value of 3b^2 - 5c^3 if b = 2 and c = -1
Answer:
17
Step-by-step explanation:
3(2)^2 - 5(-1)^3
3(4) - 5(-1)
12 + 5
17
help please order the temperatures from least to greatest !
-0.8 C
-1.2 C
0.5 C
- 2.0 C
0.8 C
It’s number 6. I’ll give brainliest
1/2 (4x+3) < 1/2 (2x+6)
Answer:
x< 3/2 hope this helps <3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
Step 2: Subtract x from both sides.
Step 3: Subtract 3/2 from both sides.