Answer:
(a) 0.0051
(b) 0.9773
Step-by-step explanation:
Let X = prices of the car.
It is provided that [tex]X\sim N(23,000, 3,500^{2})[/tex].
(a)
Compute the value of P (X ≥ 32000) as follows:
[tex]P(X\geq 32000)=P(\frac{X-\mu}{\sigma}>\frac{32000-23000}{3500})[/tex]
[tex]=P(Z>2.57)\\=1-P(Z<2.57)\\=1-0.99492\\=0.00508\\\approx 0.0051[/tex]
Thus, the proportion of cars cost an equal amount or more than $32,000 is 0.0051.
(b)
Compute the value of P (X ≥ 16000) as follows:
[tex]P(X\geq 16000)=P(\frac{X-\mu}{\sigma}>\frac{16000-23000}{3500})[/tex]
[tex]=P(Z>-2)\\=P(Z<2)\\=0.97725\\\approx 0.9773[/tex]
Thus, the proportion of cars cost an equal amount or more than $16,000 is 0.9773.
When you roll two number cubes, what are the odds, in simplest form, in favor of getting two numbers less than 3?
A• 1:8
B• 8:1
C• 1:9
D• 9:1
(Worth 30+ Points)
Answer:
c
Step-by-step explanation:
If two number cubes are rolled, the odds in favor of getting two numbers less than 3 is 1 : 9.
What is the probability?Probability determines the odd that an event would happen. The odd the event occurs is 1 and the odd that the event does not occur is 0.
Odds in favor of getting two numbers less than 3 = (numbers less than 3 / total numbers) x (numbers less than 3 / total numbers)
2/6 x 2/6 = 1/9
To learn more about probability, please check: https://brainly.com/question/13234031
#SPJ2
Jenny is organising a barbecue. There are 30 bread rolls in a pack. There are 16 sausages in a pack. She needs exactly the same number of bread rolls as sausages. What is the smallest number of each pack she must buy?
2. Tom, Sam and Matt are doing a show by counting drum beats .They decided to donate the collecting money for the poor children for their studies. Tom hits a snare drum every 2 beats. Sam hits a kettle drum every 5 beats. Matt hits a bass drum every 8 beats. Tom, Sam and Matt start by hitting their drums at the same time. How many beats is it before Tom, Sam and Matt next hit their drums at the same time? What value you can see in their act
Answer:
She need to buy 8 packs of rolls and 15 packs of sausages! The LCM is 240 so you would need to find out how many packs or rolls and how many packs of sausages equal 240!
Step-by-step explanation:
A ticket to see your favorite baseball team costs $45.65. That price decreases by $0.25 for every game lost during the regular season. What equation could you use to find the cost of a ticket after L losses? Represent the total change in the cost of a ticket after the team loses 42 games. What is the price of a ticket after the team loses 42 games?
Answer:
Cost = $45.65 - $0.25L
after 42 losses:
45.65 - 0.25(42) = $35.15
I NEED HELP QUICK!!
Solve the solutions of the inequality -|x - 2| + 9 < 6
Answer:
x<-1 or x>5
Msg me if you need step
<3
Red
x2y4(x2 - 16) - 9y4(x4 - 16)
simplify
Step-by-step explanation:
given the expression
[tex]x^22y^4(x^2 - 16) - 9y^4(x^4 - 16)[/tex]
we proceed by opening the brackets
[tex]x^2y^4(x^2 - 16) - 9y^4(x^4 - 16) \\\\x^4y^4-16x^2y^4-9x^4y^4+144y^4\\\\[/tex]
collet like terms we have
[tex]x^4y^4-16x^2y^4-9x^4y^4+144y^4 \\\\x^4y^4-9x^4y^4-16x^2y^4+144y^4 \\\\8x^4y^4-16x^2y^4+144y^4[/tex]
factoring we have
[tex]8x^4y^4-16x^2y^4+144y^4\\\\8y^4(x^4-2x^2)+144y^4[/tex]
Divide number 184 in 1:2:5 ratio
Answer: 184:368:920
Explanation: 920x0.4 is 368
Find the distance between (3,4) and (4,-6).
Answer:
The answer is
[tex] \sqrt{101} [/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(3,4) and (4,-6)
The distance between them is
[tex]d = \sqrt{ ({3 - 4})^{2} + ({4 + 6})^{2} } \\ = \sqrt{ ({ - 1})^{2} + {10}^{2} } \\ = \sqrt{1 + 100 } \: \: \: \: \: \: \: \: \: \\ = \sqrt{101} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
We have the final answer as
[tex] \sqrt{101} [/tex]
Hope this helps you
2cy + 8m = 2f solve for c
Answer:
c=(f-4m)/2y
Step-by-step explanation:
2cy = 2f -8m
divde both sides by 26
c=(2f-8m)/2y
simplify
c=(f-4m)/y
Find the value of g (-2) if g(x) = x3 - x
Answer: -6
Step-by-step explanation:
See attached picture
Is it a proportional or not proportional
Answer:
it is
Step-by-step explanation:
Answer:
Not Proportional, you're correct
1.45 rounded to the nearest hundredth
Answer:
1.45
Step-by-step explanation:
1.45 is already rounded to the nearest hundredth..
Answer:
1.45 (no need to round)
Step-by-step explanation:
When looking at this question we can clearly see that there are only 2 numbers behind the decimal.
We know that the number closet to the decimal is the tenths place.
And that the number second closet to the decimal is the hundredths place.
And that the number third closet to the decimal is the thousandths place.
Since there is no thousandths place we can't round the 5 up.
Which is why your answer is 1.45
PLZ HELP I WILL GIVE 100 POINTS
Complete the paragraph proof below.
1.
2.
3.
4.
Answer:
1. linear pair
2. Substitution Property of Equality
3. Subtraction Property of Equality
4. <1 ≅ <3
Step-by-step explanation:
1. linear pair
A linear pair is a pair of angles that that are adjacent and add to 180 degrees
linear Pair Postulate states: "If two angles form a linear pair, then the angles are supplementary.
2. Substitution Property of Equality
<1 + <2 = 180 and <2+ <3 = 180
<1 + <2 = <2 + <3
3. Subtraction Property of Equality
<1 + <2 - <2= <2 - <2+ <3
<1 = <3
4. <1 ≅ <3
Elijah opens a savings account with $60. Each week after, he deposits $25. In how many weeks will he have saved $600?
Answer:
25w + 60= 600
25w= 540
w=21.6
Step-by-step explanation:
First make the equation
1. Subrtract 60 from each side
2. Now divide 25 on both sides
3. now you have the answer
I GOT A DECIMAL SO MAYBE ROUND OR PUT THAT EXACT ANSWER.
Answer:
24
Step-by-step explanation:
What I did was divide 600 by 25 and got 24.So, Elijah has $600 after 24 weeks
Ssolve y=2x+4. y=-3-1
Noah is buying a pair of jeans and using a coupon for 10%off. The total price is $56.70 which includes $2.70 in sales tax. Noah’s purchase can be modelled by the equation
x-0.1x+2.70=56.70
what does the solution to the equation mean in this situation?
How can you verify that 70 is not a solution but 60 is the solution?
Answer:
See below.
Step-by-step explanation:
So, we know that Noah's purchase can be modeled by the equation:
[tex]x-0.1x+2.70=56.70[/tex]
Part 1)
The solution to the equation will be the value of x.
In this case, x will represent the original price of the jeans.
We know that Noah has a coupon for 10% off the original price of the jeans.
So, 0.1x will represent how much of the original price Noah gets a a discount on.
Therefore, (x - 0.1x) represents the total cost of the jeans after the coupon.
So, x is our original price of the jeans.
Part 2)
To verify that 70 is not a solution, we can simply substitute 70 for x and check whether or not the equation is true. So:
[tex](70)-0.1(70)+2.7\stackrel{?}{=}56.70[/tex]
Multiply:
[tex]70-7+2.7\stackrel{?}{=}56.7[/tex]
Subtract:
[tex]63+2.7\stackrel{?}{=}56.7[/tex]
Add:
[tex]65.7\neq56.7[/tex]
However, we can verify that 60 is the solution by substituting. So, substitute 60 for every x:
[tex](60)-0.1(60)+2.7\stackrel{?}{=}5.7[/tex]
Multiply:
[tex]60-6+2.7\stackrel{?}{=}56.7[/tex]
Subtract:
[tex]54+2.7\stackrel{?}{=}56.7[/tex]
Add:
[tex]56.7\stackrel{\checkmark}{=}56.7[/tex]
So, 60 is indeed the solution and is the value of x.
So, this means that $60 was the original price of the jeans.
Answer:
$60
Step-by-step explanation:
i did it on paper
What is the median of this set of values?
6, 8, 10, 8, 4, 2, 12
A. 4
B. 6
C. 7
D. 8
Answer:
D.8
Step-by-step explanation:
In order to find median you need to find the middle number of the set by crossing each one out until you get to the middle. I hope this helps!
Luke drove 260 miles in 4 hours. If he continued at the same rate, how far would he travel in 18 hours?
Answer:
1170 miles in 18 hours.
Step-by-step explanation:
Answer:
1170
Step-by-step explanation:
260 ÷4 = 65
65×18=1170
50/13 as a decimal rounded to the nearest 10th
Answer:
3.8
Step-by-step explanation:
What is the image point of (5,0) after a translation right 5 units and down 3 units?
Answer:
(10, -3)
Step-by-step explanation:
When translating left or right, the x intercept will be altered. When translating up or down, the y intercept will be altered.
Three teachers equally shared StartFraction 4 Over 5 EndFraction of a flat of paper that was donated to the school. What fraction of the flat of paper did each teacher receive? StartFraction 4 Over 45 EndFraction of the flat StartFraction 4 Over 15 EndFraction of the flat StartFraction 14 Over 45 EndFraction of the flat StartFraction 12 Over 15 EndFraction of the flat
Answer:
b
Step-by-step explanation:
When two parenthesizes are near each other what does that mean
Answer:
I think it is Brackets
Step-by-step explanation:
Good luck
An irrational number between 2 and 2.5
Answer:
Irrational number between 2 and 2.5 = √2*2.5 = √5
Step-by-step explanation:
2 < √5 < 2.5
We know that √5 is an irrational number.
So, √5 is the required irrational number between 2 and 2.5.
-4x+1/3+2-x/5=
the dashes are fraction things the 3 and the 5 are denominators I have the answere I just wanna check.
Answer:
-21x/5 + 7/3
Step-by-step explanation:
-4x + 1/3 + 2 - x/5
= -4x - x/5 + 1/3 + 2
= -(20x+x)/5 + (1+6)/3
= -21x/5 + 7/3
Geometric Proofs Quick Check
What type of proof uses boxes and arrows? (1 point)
O an indirect proof
O a paragraph proof
O a two-column proof
a flowchart proof
What is the measure of c?
Angles are not necessarily drawn to scale.
su
M
tyt
trig
20
O
66
-dy!
N
dyf
2
adyf
- chal
burk
9514 1404 393
Answer:
114°
Step-by-step explanation:
Angles LOM and MON are a linear pair, so are supplementary.
x + 66 = 180
x = 180 -66 = 114
The measure of ∠x is 114°.
Help me pleaseee.....
Answer:
titutex=cos\alp,\alp∈[0:;π]
\displaystyle Then\; |x+\sqrt{1-x^2}|=\sqrt{2}(2x^2-1)\Leftright |cos\alp +sin\alp |=\sqrt{2}(2cos^2\alp -1)Then∣x+
1−x
2
∣=
2
(2x
2
−1)\Leftright∣cos\alp+sin\alp∣=
2
(2cos
2
\alp−1)
\displaystyle |\N {\sqrt{2}}cos(\alp-\frac{\pi}{4})|=\N {\sqrt{2}}cos(2\alp )\Right \alp\in[0\: ;\: \frac{\pi}{4}]\cup [\frac{3\pi}{4}\: ;\: \pi]∣N
2
cos(\alp−
4
π
)∣=N
2
cos(2\alp)\Right\alp∈[0;
4
π
]∪[
4
3π
;π]
1) \displaystyle \alp \in [0\: ;\: \frac{\pi}{4}]\alp∈[0;
4
π
]
\displaystyle cos(\alp -\frac{\pi}{4})=cos(2\alp )\dotscos(\alp−
4
π
)=cos(2\alp)…
2. \displaystyle \alp\in [\frac{3\pi}{4}\: ;\: \pi]\alp∈[
4
3π
;π]
\displaystyle -cos(\alp -\frac{\pi}{4})=cos(2\alp )\dots−cos(\alp−
4
π
)=cos(2\alp)…
1
Top
Display
SURFACE AREA HELP ASAP!!
Answer:
Step-by-step explanation:
can you get a bigger picture pls
The measure of an angle is 63°. What is the measure of its supplementary angle?
Step-by-step explanation:
[tex]63 + x = 180 \\ x = 180 - 63 \\ x = 117 \\ so \: the \: supplemetary \: angle \: of \: 63 \: deg \: is \: 117 \: deg.[/tex]
i hope i have been useful buddy.
good luck ♥️♥️♥️♥️♥️
A triangle has sides measuring 8 inches, 5 inches and 4 inches. How would you classify it?
Answer:
Acute triangle because the angles are smaller than a right triangle
Step-by-step explanation:
As 5² + 4² < 8² it falls into the category of a² + b² < c², therefore it is an acute angle triangle.
What is the way of classifying a triangle?If a² + b² < c² then it is an acute angle triangle.
If a² + b² = c² then it is a right-angle triangle.
If a² + b² ≥ c² then it is an obtuse angle triangle.
Given, A triangle has sides measuring 8 inches, 5 inches and 4 inches.
So, 5² + 4² ? 8².
25 + 16 ? 64.
41 ? 64.
So, 41 < 64 therefore it is a² + b² < c² then it is an acute angle triangle.
learn more about triangles here :
https://brainly.com/question/2773823
#SPJ2
What is the greatest number that will divide 307 and 330 having the reminder 3 qnd 7
Answer:
19.
Step-by-step explanation:
Answer:
The required number = 19
Step-by-step explanation:
307 - 3 = 304
330 - 7 = 323
Find GCF of 304 & 323
304 = 2* 2 *2 * 2 * 19
323 = 17 *19
HCF = 19
The required number = 19
When you divide 307 by 19, you will get an remainder 3
When you divide 330 by 19, you will get an remainder 7