Answer:
0.8958
Step-by-step explanation:
Given that:
The mean [tex]\mu[/tex] = 4959
The standard deviation [tex]\sigma[/tex] = 448
The sample size n = 43
[tex]\mu_{\overline x} = \mu = 4959[/tex]
[tex]\sigma __{\overline x}} = \dfrac{\sigma}{\sqrt{n}}= \dfrac{448}{\sqrt{43}}[/tex]
By applying the central limit theorem;
[tex]\overline X \sim N \bigg( \mu_{\overline x} = 4959 , \sigma_{\overline x} = \dfrac{448}{\sqrt{43}}\bigg )[/tex]
The purpose of this question is to calculate the probability that the mean of a sample of 43 cars would differ from the population mean by less than111 miles.
This implies that;
[tex]P( |\mu-\overline x| <111) = p( 4959-111 < \overline X < 4959 +111)[/tex]
[tex]= P( 4848 < \overline X < 5070)[/tex]
[tex]= P \bigg ( \dfrac{ \overline x - \mu_x }{ \dfrac{\sigma}{\sqrt{n}}} < Z < \dfrac{ \overline x - \mu_x }{ \dfrac{\sigma}{\sqrt{n}}} \bigg )[/tex]
[tex]= P \bigg ( \dfrac{4848 -4959 }{ \dfrac{448}{\sqrt{43}}} < Z < \dfrac{5070 -4959 }{ \dfrac{448}{\sqrt{43}}} \bigg )[/tex]
[tex]= P \bigg ( \dfrac{-111 }{ 68.319} < Z < \dfrac{111 }{68.319} \bigg )[/tex]
[tex]= P ( -1.6247< Z < 1.6247 )[/tex]
= P ( Z < 1.627 ) - P(Z < -1.627)
From the standard normal tables
= 0.94791 -0.05208
= 0.89583
≅ 0.8958 to four decimal places.
What is an equation in point-slope form of the line that passes through (1, −6) and (4, 6)?
Answer:
y=4x-10
Step-by-step explanation:
Simplify the expression. Use positive exponents.
a14b−7c0
A. a√4b7
B. a14∙1b7
C. a14b7
D. a14b−7
Answer:
Idrk
Step-by-step explanation:
Fifty less than five times a number is one hundred. What is this number?
Answer:
-10 :)
Hey champ! Here's the 'splination!
equation: 50-5x=100
50=-5x. (subtract 50 from both sides)
-10=x (divide both sides by -5)
1/2+1/12 en mínima fracion
Answer:3/4
Step-by-step explanation:
First get the common denominator that is 12 then divide 12 by the first denominator which is 2 then add the numerator which is 1 then you will get 7 then repeat to second denominator just divide 12 by 12 then add 1 then add the numerator and copy the denominator. To simplify your answer just divide both by 3 and you will get the final answer of 3/4.
will give brainliest!!!! The value of the 5 in the number 594,631 is how many times larger than the value of the 5 in the number 859,463? *
Answer:
It's 10 times larger.
Step-by-step explanation:
If you just have 500,000, and the other one is 50,000, That means 50,000 x 10 is 500,000.
R=14 pie=3.14 round to the nearest hundreths
Answer:
Many situations will call for you to round decimals to the nearest tenth to make the number easier to work with. Once you understand how to find the tenths and hundredths place, the process is very similar to rounding whole numbers.
Step-by-step explanation:
Many situations will call for you to round decimals to the nearest tenth to make the number easier to work with. Once you understand how to find the tenths and hundredths place, the process is very similar to rounding whole numbers.
Answer:
6
Step-by-step explanation:
The way you wrote it, it is already rounded.....
The value I remember for pi is 3.14159. This is rounded to the nearest 10-thousandth. Another way of saying the same thing is that it is "rounded to 5 decimal places".
pi--rounded off in decreasing precision:
3.14159
3.1416
3.142
3.14
3.1
3
Watch out for a trap in rounding:
Suppose I start with 5.49. To the nearest 10th, it would be 5.5. To the nearest whole digit, it is 5, not 6. If the original number were 5.51, then rounded to the nearest whole digit would be 6.
Is line / parallel to line m? Explain.
Note: Not drawn to scale
Parallel lines are defined to be two lines that will never intersect even when they go on infinitely. Think of it like railroad tracks. The rails must always be parallel, or the train will gets stuck. By observing lines L and M, you'll notice both lines make perfect railroad tracks, and they will never intersect. These lines are parallel.
68 lb 13oz - 30 lb 15 oz=
Answer:
37.875 lb (37 lb 14 oz)
Step-by-step explanation:
(There are 16 oz in 1 lb)
68 lb = (68 x 16 =) 1,088 oz
1,088 oz + 13 oz = 1,101 oz
30 lb = (30 x 16 =) 480 oz
480 oz + 15 oz = 495 oz
1,101 oz - 495 oz = 606 oz = (606 oz ÷ 16 =) 37.875 lb
Final answer:
37.875 lb (37 lb 14 oz)
Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
can someone help and explain
Answer:
[tex]\frac{1}{2}[/tex] blocks
Step-by-step explanation:
If it takes 15 minutes to walk 7 1/2 blocks, it should be 15:17[tex]\frac{1}{2}[/tex]
The left side is minutes and the right side is the number of blocks
15:17[tex]\frac{1}{2}[/tex]
1: ? Since we are figuring out how many blocks he can walk in a minute, the left side is 1 and the right side is a question mark because we have not figured it out yet.
15: 17 [tex]\frac{1}{2}[/tex] Divide by 15 on both sides because that is the "distance" from 15 to1
1 : ?
1: [tex]\frac{1}{2}[/tex]
So the answer is [tex]\frac{1}{2}[/tex]
solve for x. 0.9(x+1.4)−2.3+0.1x=1.6
Answer:
=2.64
Step-by-step explanation:
ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST Paul's Pumpkin Patch advertises four pumpkins for $10.50. Which equation below represents this proportional relationship?
Answer
the 1st equation
Step-by-step explanation:
An experimenter flips a coin 100 times and gets 58 heads. Find the 90% confidence interval for the probability of flipping a head with this coin.
a. [0.483, 0.677]
b. [0.383, 0.627]
c. [0.533, 0.538]
d. [0.483, 0.477]
e. [0.403, 0.677]
f. None of the above
Answer:
The correct option is f.
Step-by-step explanation:
The (1 - α)% confidence interval for the population proportion is:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
It is provided that an experimenter flips a coin 100 times and gets 58 heads.
That is the sample proportion of heads is, [tex]\hat p=0.58[/tex].
The critical value of z for 90% confidence level is, z = 1.645.
*Use a z-table.
Compute the 90% confidence interval for the probability of flipping a head with this coin as follows:
[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]=0.58\pm 1.645\cdot\sqrt{\frac{0.58\times(1-0.58)}{100}}\\\\=0.58\pm 0.0812\\\\=(0.4988, 0.6612)\\\\\approx (0.499, 0.661)[/tex]
Thus, the 90% confidence interval for the probability of flipping a head with this coin is (0.499, 0.661).
The correct option is f.
What is the slope on the graph?
If you add < l + < 8 do you get 180’ ?
Answer:
alguien habla español
Step-by-step explanation:
Answer:
no i dont think so
Step-by-step explanation:
What is the product?
(X^4)(3x^3-2)(4x^2 +5x)?
Answer:
a
Step-by-step explanation:
edge 2021
Easy question right here!
Answer: z=-9.5
Step-by-step explanation: -9.5/2=-4.75
Sydney has $150 in her bank account. She buys a bike for $200. What is Sydney´s account balance now?
milan sold t shirts and hats at a festival. He made a $5 profit for each t shirt he sold. He also made a profit of $40 from selling hats. If he made a total profit of $125 how many t shirts did he sell?
What is 82,199 rounded to the thousands
Answer:
82.20
Step-by-step explanation:
what is 3.7 plus 2.774
Answer:
4.474 it is simple you just add them
Answer:
6.474
Step-by-step explanation:
i calculated it
The sum of two numbers is -14, if one number is subtracted from the other, their difference is 2, find the numbers.
Answer:uu
-10 and -12
Step-by-step explanation:
9. Solve the equation.
4(6 – x) + 4 = 2 (3x + 1) – 6
Answer:
x=3.2
Step-by-step explanation:
4(6 – x) + 4 = 2 (3x + 1) – 6
24 - 4x + 4 = 6x + 2 - 6
28 - 4x = 6x -4
-4x - 6x = - 4 - 28
-10x = - 32
divide both sides
x = 16/5 or x = 3.2
hope this helps :)
n/4 + 1 =5 how do I solve this and show my work
Answer:
n/4 + 1 =5
n/4 = 5-1
n/4 = 4
n = 4*4
n = 16
Answer:
So do this,
Step-by-step explanation:
stand up and go ask your mom!
Your statement balance is $687.45. You have outstanding checks totaling $332.10 and an outstanding deposit for $124.21. What is your adjusted balance?
Answer:
261.48
Step-by-step explanation:
True or False please ❗️
Answer:
true
Step-by-step explanation:
Answer:
It might be a trick question but if not, it is false.
Step-by-step explanation:
If you look closely you can see that L' is 4 units above the x-axis and not 3.
Please answer this question! as fast as possible please anyone help
the answer would be in the y=m(m=slope of the line)x + b( the y intercept) so it works be
y=3x+-3
Amir can run 15 kilometers in one hour. How many kilometers can Amir run per minute?
There are 60 minutes in 1 hour.
Label your answer in km.
Answer:
0.25km
Step-by-step explanation:
Please help answer quickly!2 questions will mark brainly if both are correct!
Answer:
A
B
Step-by-step explanation:
A) 2/3+1/4+1/4=2/3+1/2=7/6(I have no idea where did that 11/6 come from though)
B) 7/6-3/4=10/24(also 5/12)
f(x) = -4x-1
g(x) = -3.x2 – 2
Find f (4) and g(6).
1. Find the distance from point P to QS
SHOW ALL OF YOUR WORK
S(0,8)
R(-3,5)
Q(-5,3)
P(1, 1)
Answer:
5.7 units
Step-by-step explanation:
The distance from point P to QS is the distance from point P (1, 1) to the point of interception R(-3, 5).
Use distance formula to calculate distance between P and R:
[tex] PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] P (1, 1) = (x_1, y_1) [/tex]
[tex] R(-3, 5) = (x_2, y_2) [/tex]
Plug in the values into the formula.
[tex] PR = \sqrt{(-3 - 1)^2 + (5 - 1)^2} [/tex]
[tex] PR = \sqrt{(-4)^2 + (4)^2} [/tex]
[tex] PR = \sqrt{16 + 16} [/tex]
[tex] PR = \sqrt{32} [/tex]
[tex] PR = 5.7 units [/tex] (to nearest tenth)
