Answer: 5
Step-by-step explanation:
x = common side length
2x + (2x - 6) = 14
4x - 6 = 14
4x = 20
x = 5
Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally distributed, with a mean of 5.4 millimeters (mm) and a standard deviation of 0.8 mm. For a randomly found shard, find the following probabilities.
a. the thickness is less than 3.0 mm
b. the thickness is more than 7.0 mm
c. the thickness is between 3.0 mm and 7.0 mm
Answer:
a) the required probability is 0.0013
b) the required probability is 0.0288
c) the required probability is 0.9759
Step-by-step explanation:
Given the data in the question;
let x be the thickness measurements
Given that X follows a Normal distribution with mean μ = 5.4
standard deviation σ = 0.8
then z = x-μ / σ = x-5.4 / 0.8 follows standard Normal
a) probability that the thickness is less than 3.0 mm
P( x<3 ) = P( x-5.4 / 0.8 < 3-5.4 / 0.8 ) = P( Z < -3.00 ) = 0.0013
Therefore, the required probability is 0.0013
b) the thickness is more than 7.0 mm
P( x>7 ) = P( x-5.4 / 0.8 > 7-5.4 / 0.8 ) = P( Z > 2.00)
= 1 - P( Z ≤ 2)
= 1 - 0.9772
= 0.0288
Therefore, the required probability is 0.0288
c) the thickness is between 3.0 mm and 7.0 mm
P(3< x<7 ) = P( x<7) - P(x<3)
= P( x-5.4 / 0.8 > 7-5.4 / 0.8 ) - P( x-5.4 / 0.8 < 3-5.4 / 0.8 )
= P( Z< 2 ) - P( Z < -3)
= 0.9772 - 0.0013
= 0.9759
Therefore, the required probability is 0.9759
Is 5/9 closer to 1, 1/2, or 1?
Answer:
Closer to 1/2
Step-by-step explanation:
Half of 9 is 4.5 and 5 is .5 away from half and to make this 1 it needs to be 9/9 which is 4 away.
Answer:
1/2
Step-by-step explanation:
Half of 9 is 4.5/9, and 5/9 is closer to 4.5/9 than 9/9(or 1)
A circle has radius 50 cm. Find the area of the circle to the nearest hundredth.
b. (1-4) Name two obtuse
angles in the shape
below:
Answer
ADC and BDC
Explain:
Answer:
Same like other users
The length of a rectangle is 4 cm less than 3 times its width. If the width is x cm, then the length is
a. 3x - 4
b. 4 - 3x
c. 4x - 3
d. 3x + 4
e. 3 - 4x
Victor knows that 2 + 7 = 7 + 2 and 2.7= 7.2.
He wonders if 27 = 72.
Fill in the blanks to explain whether 2 = 72.
Answer:
No 27 does not equal 72
Step-by-step explanation:27 is not even an even number but 72 is
Each number line is shaded to represent a percent drag a percent to each number line that represents a percent.
Answer:
Step-by-step explanation:
The first one is 20%
The second one is 95%
(Can you take another picture so I can see the rest)
In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=60°, and JH = 80 feet. Find the length of IJ to the nearest foot.
Answer:
46.2
Step-by-step explanation:
46.188= 46.2
Leslie paid $12 for 4 books. What is the unit rate of the book purchase?
Answer: 3 dollars for a book.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
What are the slope and y-intercept of the line?
y
10
00
6
4
2
0
0
N
4
6
8
The slope is
Answer:
the slope is 4,3 and the y intercept is 2
Answer:
Niiger
Step-by-step explanation:
Roberto is going to the zoo! The entrance fee is $25 and each souvenir costs $3.75. He
has $40. Roberto thinks that this inequality could be use to find the number of souvenirs
he can purchase. Is he correct?
3.755 + 25 < 40
No the inequality symbol should be greater than or equal to
No it should be minus 25
No the letters should be next to the 25
yes this is correct
Answer:
yes this is correct
Step-by-step explanation:
Simplify (2 + 13) – (2 - 13)
1-m
Answer:
26-m I think hopefully this is correct
PLEASE HELP DUE SOON FIRST GOOD ANSWER GETS BRAINLIEST
show that x^2 + y^2 + z^2 = 3(2x-y) -1 is a sphere
Step-by-step explanation:
x² + y² + z² = 3(2x - y) - 1
x² + y² + z² = 6x - 3y - 1
x² - 6x + y² + 3y + z² = -1
(x - 3)² + (y + 1.5)² + z² = -12.25
(x - 3)² + (y + 1.5)² + z² = -(3.5)²
Since it follows the general equation form, it is a sphere.
help please asap i need this done
Use the four-step method in problem-solving to solve the problem.
Ashley owns 14 acres of land which she rents to a Timber grower for $3131 per acre per year. Her property taxes are $882 per acre per year. How much profit does she make on the land each year?
A. $56,182
B. $42,952
C. $31,486
D. $44,716
Answer:
A. $56,182
Step-by-step explanation:
$3131 x 14= $43834
$882 x 14= $12348
$43834 + $12348= $56,182
$56,182 x 1= $56,182
Tell whether each angle is acute, right, obtuse, or straight.
Answer:
Right
Straight
Obtuse
Acute
IN THE ORDER YOU PUT THE PICTURE!!
Step-by-step explanation:
Answer:
The First is right, Second is Straight, Third is Obtuse and, Forth is Acute
Step-by-step explanation:
I am smart
Ginger mows
3/4 acre in 1 3/4 hours. What is her unit rate of acres mowed per hour?
9514 1404 393
Answer:
3/7 acres per hour
Step-by-step explanation:
To find acres mowed per hour, divide acres mowed by hours:
(3/4 ac)/(1 3/4 h) = (3/4)/(7/4) ac/h = 3/7 ac/h
Ginger's unit rate is 3/7 acres per hour.
Answer: 3/7!
Step-by-step explanation:
In one online store, 12% of the orders are placed by new customers. Let N be the number of orders
placed in a day to reach the store's first new customer. Assume each order's customer status is
independent
Find the mean and standard deviation of N.
Round your answers to one decimal place.
Mean:
orders
Standard deviation:
orders
Answer:
Mean= 8.3
Standard deviation=7.8
Step-by-step explanation:
Help me pleaseeeeeeeeeeee
Answer: 990 lb
Step-by-step explanation:
t = (4 x 180) + (3 x 90)
t = 720 + 270 = 990
SOME ASSISTANCE PLS M8S!!
Answer: CHAA
Step-by-step explanation:
You are driving up a mountain. At the base of the mountain you see a sign that states the elevation above sea level is 3,720 feet at this point. You then travel a horizontal distance of 5 miles to the top of the mountain, and see another sign that states the elevation is 4,215 feet above sea level. What was the average slope of the mountain you just climbed in feet/mile?
A) 843 ft/mi
B) 744 ft/mi
C) 99 ft/mi
D) 0.0188 ft/mi
Step-by-step explanation:
Slope of the mountain
= Rise in height / Run in distance
= (4215ft - 3720ft) / 5 mi
= 495ft / 5mi
= 99ft/mi. (C)
Please solve the question below 5
Answer:
Answer is B
Step-by-step explanation:
P(x<2) - P(x<-2) = .9772 - .0228 = .9544
= 95%
Tristan can walk 3 miles in one hour. At this rate, how far will Tristan walk in 4 hours?
Answer:
12 miles
Step-by-step explanation:
sometimes looking at the units is helpful.
How far Tristan will walk is measured in miles.
3 miles/hour * 4 hours has a unit of miles * hour/hour = miles
3*4 = 12
Answer:
12 Miles
Step-by-step explanation:
Multiply 3 by 4
orapns of Polynomial Functions
Question 10 of 10
Which of the following is an x-intercept of the function, f(x) = x2 -5x2 - 8x +48
?
A. -4
o
B. 4
C. -2
O
D. 2
Answer:
Option B: 4
Step-by-step explanation:
From the image, the correct function is;
f(x) = x³ -5x² - 8x + 48
Now, the x-intercept occurs when y = 0.
Thus;
x³ - 5x² - 8x + 48 = 0
So we are looking for values of x that will make y = 0.
Let's try the options;
Let's try x = -4;
(-4)³ - 5(-4)² - 8(-4) + 48 = -64 - 80 + 32 + 48 = -64 ≠ 0
So, x = -4 is not an x - intercept
Let's try x = 4;
(4)³ - 5(4)² - 8(4) + 48 = 64 - 80 - 32 + 48 = 0
So,x = 4 is an x-intercept
Let's try x = - 2;
(-2)³ - 5(-2)² - 8(-2) + 48 = -8 - 20 + 16 + 48 = 36 ≠ 0.
So, x = -2 is not an x-intercept.
Let's try x = 2;
(2)³ - 5(2)² - 8(2) + 48 = 8 - 20 - 16 + 48 = 20 ≠ 0
So, x = 2 is not an x-intercept
Someone please help!!
Answer:
A
Step-by-step explanation:
Hi! I think the answer is gonna be B! I could be wrong but that’s what I worked it out to! Good luck on the edge thing!!
both are x=
27. x=
28.x=
Answer:
Step-by-step explanation:
27. the sum of 2 complementary angles=90
8x-17+5x-10=90
13x=90+27
13x=117 x=9
28. the sum of supplementary angles=180
17x-12+3x-48=180
20x=180+60
20x=240
x=120
Josie packed unit cubes into a prism, as shown. Which statement about the volume of the box is true?
Also so, the answer to this is; The volume of the prism is less than 72 cubic units.
Why is this the answer?
The actually cubic units for that is actually 54 cube units which if you think is; 54 < 72
So I hope this helps. I wasn´t able to see the image but according to what I know, I think it is in one of the imagine math or something else lessons. If what im telling has nothing to do with your question, I am sorry and- I guess thats that. I really hope this helps. Bye!! ^m^
Answer:
The volume of the prism is less than 72 cubic units.
Here's what I did:
6x3x3
Which is length x height x width or it can be the other way around it really doesn't matter I think
What is the next term of the arithmetic sequence? -4,-9,-14,-19,
Answer:
-24
Step-by-step explanation:
You add -5
Hope this helps you :)
Factor 24x – 18 using the GCF
Answer:
24x – 18
6(4x-3)is required factor.
The average of three test scores is 82. The scores on the first test and the third test are the same. The score on the second test is 6 less than the score on the first test. What is the score on the first test?
Answer:
84
Step-by-step explanation:
Let x = the test
(x + x + ( x - 6))/3=82
((3x - 6)/3) • 3= 82 • 3
3x - 6 + 6 = 246 + 6
3x = 252
3 3
x = 84