Pls answer. I will mark brainliest.
Answer:
true
false
true
false
true
false
Step-by-step explanation:
Reece is setting up a large fish tank. The tank is 1.8metres long and 0.6 metres wide. The water in the tank is 50 cm deep. Reece needs to add a liquid treatment to the water. The instructions tell him to add 5 ml of treatment for every 0.18 m3. How many treatment does Reece need to add?
Answer:
15 ml
Step-by-step explanation:
Find the volume of the tank which is 1.8m*0.6m*0.5m=0.54m^3
For every 0.18m^3,5ml of treatment is added,what of 0.54m^3
(0.54m^3*5ml)/(0 18m^3)=15ml
A sample of 125 pieces of yarn had mean breaking strength 6.1 N and standard deviation 0.7 N. A new batch of yarn was made, using new raw materials from a different vendor. In a sample of 75 pieces of yarn from the new batch, the mean breaking strength was 5.8 N and the standard deviation was 1.0 N. Find a 90% confidence interval for the difference in mean breaking strength between the two types of yarn.
Answer:
The 90% confidence interval for the difference in mean breaking strength between the two types of yarn is (0.08N, 0.52N).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Subtraction of normal variables:
When we subtract two normal variables, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
A sample of 125 pieces of yarn had mean breaking strength 6.1 N and standard deviation 0.7 N.
This means that [tex]\mu_1 = 6.1, s_1 = \frac{0.7}{\sqrt{125}} = 0.0626[/tex]
In a sample of 75 pieces of yarn from the new batch, the mean breaking strength was 5.8 N and the standard deviation was 1.0 N.
This means that [tex]\mu_2 = 5.8, s_2 = \frac{1}{\sqrt{75}} = 0.1155[/tex]
Distribution of the difference:
[tex]\mu = \mu_1 - \mu_2 = 6.1 - 5.8 = 0.3[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0626^2+0.1155^2} = 0.1314[/tex]
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = zs[/tex]
[tex]M = 1.645*0.1314 = 0.22[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 0.3 - 0.22 = 0.08N
The upper end of the interval is the sample mean added to M. So it is 0.3 + 0.22 = 0.52N
The 90% confidence interval for the difference in mean breaking strength between the two types of yarn is (0.08N, 0.52N).
A rectangular safe can hold 7,296 cubic inches. Gold bars that are 4 inches by 8 inches by 2 inches fit to completely fill
the safe. What is the volume of each gold bar?
(A) 14in
(B) 24in
(C) 128in
(D) 64in
Answer:
I think it's 64 in
I hope it's helps you
A shopkeeper purchased 60 pencil boxes for 4.500 and sold at the rate of 4.125 for 50 pencil boxes. How
much profit present does he make on selling all the pencil boxes?
5%
7%
10%
12%
Answer: 10%
Step-by-step explanation:
Since the shopkeeper purchased 60 pencil boxes for 4,500, he purchased them at the rate of:
= 4500 / 60
= 85 per pencil box
If the shopkeeper sold them at the rate of 4,125 for 50 pencil boxes, then he sold them at the rate of:
= 4125 / 50
= 82.50 per pencil box.
Therefore the percentage profit will be:
= Gain / Cost price × 100
= (82.50 - 75) / 75 × 100
= 7.5/75 × 100
= 10%
translate the point (5,2)—> 3 units to the left
Given:
The point (5,-2) is translated 3 units to the left.
To find:
The new location of the point.
Solution:
If a point is translated 3 units to the left, then
[tex](x,y)\to (x-3,y)[/tex]
Using this rule of translation, we get
[tex](5,-2)\to (5-3,-2)[/tex]
[tex](5,-2)\to (2,-2)[/tex]
Therefore, the new location of the point is (2,-2). Hence, the correct option is C.
PLEASE HELP! I WILL GIVE BRAINLIEST!! Six less than the quotient of a number and 4 is 11. What is the number? Let n be the unknown number
Answer:
n/4-6
Step-by-step explanation:
n/4-6
This is the expression because we need to divide n by 4 and subtract 6
The number is 68
68 divided by 4= 17
17-6=11
If a 100 part spinner is spun and then a coin is flipped how many possible outcomes are in the sample space for the compound event
Answer:
200
Step-by-step explanation:
Answer:
200
Step-by-step explanation:
I need the surface area
Answer:
Step-by-step explanation:
Answer:
40.4
Step-by-step explanation:
Use the formula if you have one, (AS = 2Ab (a+b+c)h)
Then apply.
What whole number can also be written as the fraction 9/3?
Answer:
3
Step-by-step explanation:
You can put 3 in 9 three times
What value of x makes a true equivalent fraction statement.
X/8=45/72
At WMS, 3 out of 4 students ride a bus to school. There are 600 students at WMS. How many students ride the bus?
Answer:
450 students
Step-by-step explanation:
19 of 22 participants (86.36%) from the high-power posing group took a gambling risk to double their money, while 12 of 20 (60%) from the low-power posing group took the gambling risk. Use a calculator tool from Module 10 to determine the p-value associated with the hypothesis test examining if there is a statistically significant difference between the proportion of people willing to take risks in the two groups. Round to 3 decimal places
Answer:
Step-by-step explanation:
19 of 22 participants (86.36%) from the high-power posing group took a gambling risk to double their money, while 12 of 20 (60%) from the low-power posing group took the gambling risk. Use a calculator tool from Module 10 to determine the p-value associated with the hypothesis test examining if there is a statistically significant difference between the proportion of people willing to take risks in the two groups. Round to 3 decimal places
H0 : P1 - P2 = 0
H1 : P1 - P2 ≠ 0
P1 = 0.8636
P2 = 0.6
q1 = 1 - P1 = 0.1364
q2 = 1 - P2 = 0.4
Tstatistic = (p1 - p2) ÷ √(p1q1)/n1 + (p2q2)/n2]
Tstatistic = (0.8636-0.6) ÷ √0.01735432]
Tstatistic = 0.2636 ÷ 0.1317357
Test statistic = 2.0009761
Test statistic = 2
The Pvalue from t statistics :
Tscore = 2 ; df = 20 + 22 - 2 = 40
Please see attached pic
Are all proportional relationships functions?
app 19.study
Tools
Tools
Probability
Jacob performed an experiment with a weighted die, numbered 1 to 6. He rolled the die 125 times and recorded the results.
Complete the table below.
0.232
37
24
0.176
18
0.048
0.104
22
Result of Roll
Frequency
Experimental
Probability
1
2
13
3
0.144
4
29
5
0.296
6
Reset
Submit
Answer:
[tex]1 \to 22 \to 0.176[/tex]
[tex]2 \to 13 \to 0.104[/tex]
[tex]3 \to 18 \to 0.144[/tex]
[tex]4 \to 29 \to 0.232[/tex]
[tex]5 \to 37 \to 0.296[/tex]
[tex]6 \to 6 \to 0.048[/tex]
Step-by-step explanation:
Given
[tex]n = 125[/tex]
See attachment for proper table
Required
Complete the table
Experimental probability is calculated as:
[tex]Pr = \frac{Frequency}{n}[/tex]
We use the above formula when the frequency is known.
For result of roll 2, 4 and 6
The frequencies are 13, 29 and 6, respectively
So, we have:
[tex]Pr(2) = \frac{13}{125} = 0.104[/tex]
[tex]Pr(4) = \frac{29}{125} = 0.232[/tex]
[tex]Pr(6) = \frac{6}{125} = 0.048[/tex]
When the frequency is to be calculated, we use:
[tex]Pr = \frac{Frequency}{n}[/tex]
[tex]Frequency = n * Pr[/tex]
For result of roll 3 and 5
The probabilities are 0.144 and 0.296, respectively
So, we have:
[tex]Frequency(3) = 125 * 0.144 = 18[/tex]
[tex]Frequency(5) = 125 * 0.296 = 37[/tex]
For roll of 1 where the frequency and the probability are not known, we use:
[tex]Total \ Frequency = 125[/tex]
So:
Frequency(1) added to others must equal 125
This gives:
[tex]Frequency(1) + 13 + 18 + 29 + 37 + 6 = 125[/tex]
[tex]Frequency(1) + 103 = 125[/tex]
Collect like terms
[tex]Frequency(1) =- 103 + 125[/tex]
[tex]Frequency(1) =22[/tex]
The probability is then calculated as:
[tex]Pr(1) = \frac{22}{125}[/tex]
[tex]Pr(1) = 0.176[/tex]
So, the complete table is:
[tex]1 \to 22 \to 0.176[/tex]
[tex]2 \to 13 \to 0.104[/tex]
[tex]3 \to 18 \to 0.144[/tex]
[tex]4 \to 29 \to 0.232[/tex]
[tex]5 \to 37 \to 0.296[/tex]
[tex]6 \to 6 \to 0.048[/tex]
WILL GIVE BRANLIEST.
Which of the following statements are true?
Select 4 correct answers
1. All of the coordinate pairs in Quadrant 1 are positive.
2. All of the coordinate pairs in Quadrant 3 are negative.
3 All of the coordinate pairs in Quadrant 2 are positive.
4 Everything to the left of zero on the x axis is negative, everything below zero on the y axis is negative.
5The x axis is positive in quadrants 1 & 3
6 The y axis is negative in Quadrants 3 & Quadrant 4.
Answer:
2,3,4, and 5
Step-by-step explanation:
#1
In Q1 x>0,y>0So all are positive
#2
In Q3
x<0y<0Hence all are negative
#4
Yes anything left to or bottom to zero us negative
#6
Yes on Both Q3 and Q4 y<0option A,B,D,F are correct
Easy points
What is the measure of the unknown angle?
125° 143° 140° 145°
Answer:
Step-by-step explanation:
n+37=180
n=180-37=143°
Answer:
B) 143°
Step-by-step explanation:
Since n° is supplementary to 180°, then n°=180°-37°=143°.
Why Was A Book In The Frying Pan On The Stove?
which property states what you do to one side you must do to the other
Answer:
Summary. The Addition Property states that: a=bis equivalent toa+c=b+cora−c=b−c Basically, whatever you do to one side of the equal sign, you have to do to the other side.
Hope this helps!!! :)
i have to finish this today HELPPPP!
a teacher asks five students to write an equation with a solution of x= 4 . the students and their equations are shown below. which of the following students correctly wrote an equation with x= 4 as the solution ? select three that apply
Bert, Camille, and Etsuko.
Answer:
Bert, Camille, and Etsuko has the solution as x = 4.
Step-by-step explanation:
Bert:
2x - 9 = -1
Camille:
-2x + 12 = 4
Etsuko
[tex]2(x - 10) = - 12[/tex]
Which expression best matches the statement:
Twelve less than the product of three and a number.
12 - 3n
3n - 12
3 + 7 - 12
12 - 3 + n
Answer: 3n - 12
Product means multiplication. So the 3 and n are being multiplied. If 12 is less than, then that means it is being subtracted from 3n, not the other way around.
What is the height of the building? need help ASAP!
Answer:
178.2 ft
Step-by-step explanation:
[tex] \sin(60) = \frac{x}{200} \\ \frac{ \sqrt{3} }{2} = \frac{x}{200} \\ x = 100 \times \sqrt{3}[/tex]
So,
[tex]h = 5 + x = 5 + 100 \times \sqrt{3} = 178.2[/tex]
Experimental Probability is:
O what WILL happen
what ACTUALLY happens
o what SHOULD happen
o what I THINK will happen
This is in contrast to theoretical probability where it's what we think would happen, or predict to happen.
For example, the theoretical probability of getting heads on a coin is 1/2 = 0.50 = 50%. If you flip a coin say 1000 times and get 400 heads, then the empirical or experimental probability of getting heads is 400/1000 = 0.40 = 40%. The experimental probability is what actually happens when you do the experiment. The theoretical probability is what you predict what would happen given some list of assumptions and rules about the object.
According to the law of large numbers, the experimental probability should get closer and closer to the theoretical one assuming the theoretical probability has been calculated properly (and all assumptions are correct). If we got say 475 heads instead of 400, then we might have fairly good evidence that we have a fair coin (since 475/1000 = 0.475 is fairly close to 0.500); however, if we got something like 300 heads then we might suspect that the coin is biased toward tails than it is toward heads. The more trials you do, the better a picture you can get of it.
what is the slope of the line?
khan academy
Answer:
4/5 is the slope
Answer:
(-5,-4) or (-4, -5)
Step-by-step explanation:
Find the coefficient of the x^3 in the expansion of (2x-9)^5
Use the binomial theorem:
[tex]\displaystyle (2x-9)^5 = \sum_{k=0}^5 \binom5k (2x)^{5-k}(-9)^k = \sum_{k=0}^5 \frac{5!}{k!(5-k)!} 2^5 \left(-\frac92\right)^k x^{5-k}[/tex]
The x ³ terms occurs for 5 - k = 3, or k = 2, and its coefficient would be
[tex]\dfrac{5!}{2!(5-2)!} 2^5 \left(-\dfrac92\right)^2 = \boxed{6480}[/tex]
La longitud de una varilla es de 12 pulgadas y la de otra varilla es de
87 pulgadas. Compara la longitud de la segunda varilla a la primera
y expresa el resultado como una razón.
Answer:
Hi how are you doing today Jasmine
Question 4 of 10
When the input is x = 3 for the parent function f(x) = x, what is the output?
O A. f(x) = 3
O B. f(x) = -3
O C. f(x) = 0
O D. f(x) = 1
Answer:
A
Step-by-step explanation:
f(x) = x
x = 3
->
f(3) = 3
A
Ssomeone help me in this one now please
please help ..................
Answer:
xxyy2578
Step-by-step explanation: