Answer:
[tex]P(x < 2.892) = 4.36\%[/tex]
Step-by-step explanation:
Given
[tex]N = 700[/tex] --- Population
[tex]\mu = 2.894[/tex] -- Mean
[tex]\sigma = 0.009[/tex] --- Standard deviation
[tex]n = 55[/tex] -- Sample
Required: [tex]P(x < 2.892)[/tex]
This question will be solved using the finite correction factor
First, calculated the z score
[tex]z = \frac{x - \mu}{\sqrt{\frac{N -n}{N -1}} * \frac{\sigma}{\sqrt n}}[/tex]
[tex]z = \frac{2.892 - 2.894}{\sqrt{\frac{700 -55}{700 -1}} * \frac{0.009}{\sqrt {55}}}[/tex]
[tex]z = \frac{-0.002}{\sqrt{\frac{645}{699}} * \frac{0.009}{7.42}}[/tex]
[tex]z = \frac{-0.002}{\sqrt{0.92} * \frac{0.009}{7.42}}[/tex]
[tex]z = \frac{-0.002}{0.95917 * 0.0012129}[/tex]
[tex]z = -1.71[/tex]
So:
[tex]P(x < 2.892) = P(z < -1.71)[/tex]
Using z table
[tex]P(x < 2.892) = 0.043633[/tex]
[tex]P(x < 2.892) = 4.36\%[/tex]
Please help I’ll mark you as Brainiest!!!!!
Answer: $44,600
Step-by-step explanation: Subtract the withheld earnings from the gross amount to get the net amount.
55,000-4,200-5,200-1,000= 44,600
[tex]2x-7y=9\\x+2y=10[/tex]
Answer:
x=8 y=1
Step-by-step explanation:
you have first and second equation, YOU MUST FIND THE THIRD EQUATION
SOLUTION
FIND equation 3 from 2
x+2y=10
x=10-2y...........3
Substitute equation 3 from first (not from the equation where you got equation 3)
2 (10-2y)-7y=9
20-4y-7y=9
-11y=9-20
-11y= -11
-11y/-11= -11/-11
y=1
Find the value of x from the third equation
x=10-2 (1)
x=8
sarah and janie both have lollipops. Janie has 36 lollipops. This is 9 times as many as sarah. How many lollipops does Sarah have
Answer:
4
Step-by-step explanation:
Hello,
36 / 9 = 4
Eso
On Thursday, a local hamburger shop sold a combined total of 342 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the
number of hamburgers sold. How many hamburgers were sold on Thursday?
Il hamburgers
?
Answer:
Step-by-step explanation:
182
What is the value of x ??
Answer:
b. 8
Step-by-step explanation:
Multiply.
Answer as a fraction. Do not include spaces in your answer.
Answer:
Multiply what?
Step-by-step explanation:
A child released a balloon into the air 45 minutes ago, and the air forced the balloon to travel 5 miles before another child found it. At what speed did the balloon travel?
A certain forest covers an area of 4900 km². Suppose that each year this area decreases by 5.75%. What will the area be after
5 years?
Answer:
3,644 km²
Step-by-step explanation:
y = 4900(1 - .0575)^5
y = 4900(0.9425)^5
y = 3644.21
The following table is for which exponential function?
6. Find the values of x and y.
Drawing not to scale
Answer:
y=31°
x=90
step
y=180-59-90
=31
x=90
- 8x + 2y = -4
Find the slope and the v-intercept.
Then use them to graph the line.
Answer:
x= 1 /4 y+ 1 /2
Step-by-step explanation:
Find the inverse of each function. g(x)=∛(x-2)
Please show the steps. I can show you what I have so far if you want, too.
Just please don't put some Ludacris thing, like "ldsnvlsjdsv" Okay? thankyou :)
Answer:
x=2
Step-by-step explanation:
g(x)=∛(x-2) -Substitute g(x)=0
0=∛(x-2) -Swap the sides of the equation
∛(x-2)=0
∛(x-2)=0 -Set the radicand equal to 0
x-2=0
x-2=0 -Move the constant to the right hand side and change its sign
x=2
I Hope this helps! If you are good at geometry I really need help. Please let me know! :)))
This cylinder has a volume of 12cubic inches and a diameter of 4 inches.
Find the cylinder's radius and height.
h
Answer:
0.9554
Step-by-step explanation:
d = 4
r = d/2
r = 4/2
r = 2
V = 12
V = pi r^2 h
V = 3.14 * 2^2 * h
12 = 3.14 * 4 * h
12 = 12.56 * h
h = 12 / 12.56
h = 0.9554
Find the sum of (4 + 3x) + (2 + x).
Answer:
Your answer would be 8x+2
Step-by-step explanation:
4x+3x+x+2
Combine the like terms
Which gives you 8x+2
Help!! Ur the best if u can help!
Answer:
A
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Hey! So look at 18 on the left-hand side. Then, look at the inches. Also, note that A is the exact same as the graph! Therefor, your answer is A!
Have a great day!
Brainliest please!
Hope this helps friend!
b is directly proportional to a.
b is 10 when a is 8.
Work out b when a is 9.
Answer:
B=11
Step-by-step explanation:
b=10 a=8
b=? a=9
Either you can cross multiple 10x9=90/8 (11.25, round down to 11), or you can look that 9 is 8+1, so of we do the same process to b then we would find our awnser. 10+1=11.
When a is 9 then, the value of b will be;
⇒ b = 45/4
What is Proportional?
Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
'b' is directly proportional to a.
And, b is 10 when a is 8.
Now,
Since, 'b' is directly proportional to a.
Hence, We get;
⇒ b = ka
Where, k is constant of proportionality.
Here, b is 10 when a is 8.
So, Put b = 10 and a = 8;
⇒ b = ak
⇒ 10 = k × 8
⇒ k = 10 / 8
⇒ k = 5/4
So, When a is 9 and k is 5/4, then;
⇒ b = ak
⇒ b = 9 × 5/4
⇒ b = 45/4
Thus, The value of b = 45/4
Learn more about the proportion visit:
https://brainly.com/question/870035
#SPJ2
4. A car traveled 110 miles in 2 hours.
What unit rate describes the speed of
the car?
Answer The question PLZZ no WEBSITE ANSWER
Answer:
The car is traveling 55 miles per hour
Step-by-step explanation:
Total miles divided by hours
110/2
55
Answer:
55 miles per hour
Step-by-step explanation:
110/2=55
Why is the number that satisfies this equation not a real number?
x^2=--1
Answer:
I assume that says [tex]x^2=-1[/tex], but that is the case because when we square a number, we can NEVER get a negative number. The smallest square we can get is 0. 1^2 is 1, and no real number squared gives us a negative number.
Step-by-step explanation:
1. Jake makes $11.00 per hour. He is getting a raise of 20% to his hourly pay. How much
will he make per hour after his raise? Show your calculation.
Answer:
$11,00 x ( 100% + 20%) = $13.2 /h
Step-by-step explanation:
Subtract 19 and 4, triple the difference, and then add
four-fifths.
Answer:
45.8
Step-by-step explanation:
I think that is the correct answer
Jason bought a total of 20 medium and large pumpkins. If he bought 6 more large pumpkins as medium pumpkins, how many large pumpkins did he buy?
Answer:
26 large pumpkins
Step-by-step explanation:
Pls help me I’m very bad at math
Answer:
(0,3) & (-3,15) -4
(-4,-3) & (-8,-4) 1/4
(3,10) & (1,7) 3/2
(8,6) & (12,5) -1/4
(-1,-4) & (2,-6) -2/3
(7,-4) & (11,0) 1
(6,-1) & (7,3) 4
(5,-2) & (11,2) 2/3
Step-by-step explanation:
Someone help and plz make sure it’s right plz :)
Answer:
6.3
Step-by-step explanation:
square root of (14.9k^2 - 13.5k^2)
The two shorter sides of a triangle measure 12 cm and 18 cm. which of the following could be the length of the longest side of the triangle?
1. 30 cm
2. 17 cm
3.27 cm
4. 11 cm
a supplementary angle that has a 41 degree angle what is X
Answer:
X= 139
Step-by-step explanation:
1. Suplementary angle = 180 degrees
2. Set up the Equation
41 + x = 180
3. Solve
41 + x = 180
-41 -41
x = 139
I need help plaseee
Answer:
D
Step-by-step explanation:
{(-5, -4), (-5, -2), (-5, 0)}
find the product of 3ab (10b + 2a)
HELPP ME PLEASE ITS DUE TODAYY!!!!!
Answer:
add a point 4 units to the left
Step-by-step explanation:
Answer:
Add a point 5.5 units right of 1
Step-by-step explanation:
I used a ruler, and found out that the distance between 0 and 1 is 1cm. The distance between 0 and x is 2.5cm. Since x is to the left of 0, x = 2.5.
4 - -2.5 = 4 + 2.5 = 6.5, or 6.5 units right of 0, which is the same as 5.5 units right of 1.
please help :) i will give brainlyest
Answer:
7
Step-by-step explanation:
Drag one of the arrows from -6 to 7
I can’t figure it out
5 = 5 ( x + 6 )
Answer:
Step-by-step explanation:
Solution:
= − 5