Answer:
384mm
Step-by-step explanation:
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LESSON 6 SESSION 1
Rectangular paintings hang on the wall of an art gallery.
One painting has an area of 24 ft. Another painting has an
area of 32 ft. The paintings have whole-number side lengths
and have one pair of side lengths in common.
a. What could the common side length be? Show your work.
C
SOLUTION
b. Check your answer to problem 3a. Show your work
Step-by-step explanation:
I don't really understand. Comment the question without "lesson/session/cancel/done" bc it's ALL confusing
The common side length of the rectangular paintings on the wall that having area of 24ft and 32ft is 8 feet.
How to find side length ?There are numerous methods for calculating the length of a rectangle. If you have an area A and a width w, the length w is calculated as h = A/w. If you know the perimeter P and the width w, you can calculate the length h = P/2w.
The area of any quadrilateral can be calculated by multiplying its base length by its height. We know that all sides are equal length because the shape is square. Working backwards, we can find the length of one side by taking the square root of the area.
The given parameters are
Area of painting 1 = 24 square feet
Area of painting 2 = 32 square feet
Express the areas as the product of their factors
So, we have
24 = 2 * 2 * 2 * 3
32 = 2 * 2 * 2 * 4
Multiply the common factors
Common factors =2 * 2 * 2
Evaluate the product
Common factors = 8
This represents the common side length
Hence, the common side length of the paintings is 8 feet
To learn more about Side length refer :
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Which is the graph of the inequality? 3y−9x≥9
Answer:
Which is the graph of the inequality? 3y−9x≥9
Step-by-step explanation:
Which is the graph of the inequality? 3y−9x≥9
Sonya measured her pet mouse from the tip of its nose to the tip of its tail. Her mouse is fourteen hundredths of a meter long. Which of the following expresses this length as a decimal? A 0.014 0.14 C1.4 14.00
Answer:
A 0.014
Hope this helps!!!!
Parts being manufactured at a plant are supposed to weigh 65 grams. Suppose the distribution of weights has a Normal distribution with mean 75 grams and a standard deviation of 22 grams. Quality control inspectors randomly select 144 parts, weigh each, and then compute the sample average weight for the 144 parts. Find The probability that the mean weight of these 144 parts is more than 80 grams or less than 70 grams is (Round to two decimals throughout and write as a % to 2 decimal places)
Answer:
0.64%.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
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 [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 75 grams and a standard deviation of 22 grams.
This means that [tex]\mu = 75, \sigma = 22[/tex]
Sample of 144:
This means that [tex]n = 144, s = \frac{22}{\sqrt{144}} = 1.8333[/tex]
More than 80 or less than 70:
Both are the same distance from the mean, so we find one probability and multiply by 2.
The probability that it is less than 70 is the pvalue of Z when X = 70. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{70 - 75}{1.8333}[/tex]
[tex]Z = -2.73[/tex]
[tex]Z = -2.73[/tex] has a pvalue of 0.0032
2*0.0032 = 0.0064.
0.0064*100% = 0.64%
The probability is 0.64%.
18.0 x 9 but with a decimal
The box fill weight of Frosted Flakes breakfast cereal follows a normal distribution with a mean of 9.75 ounces and a standard deviation of 0.27 ounces. A sample of 25 boxes filled this morning showed a mean of 9.85 ounces. At the 0.05 significance level, can we conclude that the mean weight is more than 9.75 ounces per box
Answer:
Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that the mean weight is less and equal to 9.75 ounces per box and accept the null hypothesis.
Step-by-step explanation:
Let the null and alternate hypothesis be
H0: u ≤ 9.75 against the claim Ha: u > 9.75
Here
Population mean= u= 9.75
Standard deviation= 0.27 ounces
Sample mean= x`= 9.85
Significance level [tex]\alpha[/tex]= 0.05
Using z- test
z= x`-u/s/√n
z= 9.85-9.75/0.27/√25
z= 0.1/5.4
z= 0.0185
The critical region for 1 tailed test at 0.05= z > ±1.645
Since the calculated value of z= 0.0185 does not lie in the critical region we conclude that the mean weight is less and equal to 9.75 ounces per box and accept the null hypothesis.
AC || BD||AB||CD and AC | CD
Answer:
Ac
i dont know i need points
so hope it helps
someone anwser this please
What is the solution to the system of equations?
y = 1/3x-10
2x + y = 4
Answer:
y=-8, x=6
Step-by-step explanation:
Hope this helped!!!
PLEASE ANSWER ILL GIVE BRAINLY
Answer:
Step-by-step explanation:
A
what is the volume of the pyramid shown below? 6 11 11
A. 363 cu. units
B. 396 cu. units
C. 726 cu. units
D. 242 cu. units
Trey measured the mass of some pebbles what is
Advanced Calculation Question:
Your patient weighs 150 kg. The ordered dose is 3 mEq/kg/hour to be given over 1 hour. The available
the medication is 1 mEq/mL. Over a one hour period _mL will be administered.
What’s the correct answer for this question?
Answer:
choice 4) -3x = 4y
Step-by-step explanation:
-3(-4) = 4(-3)
12 ≠ -12
Answer:
-3x=4y
Step-by-step explanation:
if u do that equation it would equal 12=-12
5.23 - 22x2 – 177 + 17
T5
Answer:
-198.77
Step-by-step explanation:
don't know what the t5 mean though here is your answer not including the T5
Use this model to calculate
3/8×2/6
Answer:
0.1249
Step-by-step explanation:
that's what answer my calculator gives me. Hope that helped. <3
xoxo
Answer:
6/48 or 1/8 when simplified
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
7,6 . 5,8 . 2,3 . 1,4
Step-by-step explanation:
Vertical angles are angles opposite to each other when a line cuts through an angle. my answer supports it
Simplify:
8x4 - 3x - 7 = [?]
x=1
AND FOR GOD SAKE NO BOTS NO PEOPLE WANTING POINTS AND NO TROLLS!!!
Answer:
[tex]8( - 1) {}^{4} - 3( - 1) - 7 = ( - 8) {}^{4} + 3 - 7 = - 4096 + 3 - 7 = - 4100[/tex]
-4100
How could you design an experiment to support the claim that people who watch television for at least 2 hours every night have lower energy in the evening than people who do not watch as much television Include any factors or steps that should be considered .
Step-by-step explanation:
Several ways in which television can disrupt or alter sleep patterns:
The blue light emitted by screens can interfere with your brain’s production of melatonin at night, making it harder for you to fall asleep. Exciting or disturbing content can switch your mind into high gear, making it harder to wind down, and harder to sleep deeply. The timing of television viewing may push back bedtime and contribute to sleep disturbances -- including sleep-related anxieties and difficulty falling asleep. Having a television in the bedroom can undermine your ability to sleep well. Extended viewing may lead to sleep loss, poor quality sleep, and daytime tiredness.People who don't watch Television won't have these problems.
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
Answer:
1) x = 14°, y = 5°
2) x = 18.5°, y = 37°
Step-by-step explanation:
1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°
∠MOD = ∠MOB + ∠BOD = 90°
3x + 23° + 25° = 90°
3x = 90° - 23° - 25°
x = 42°/3
x = 14°
∠LOB = ∠LOM + ∠MOB = 90°
5y + 3x + 23° = 90°
5y = 90° - 23° - 3(14°)
y = 25°/5
y = 5°
2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°
∠EOB = ∠EOD + ∠DOB = 90°
2y + 16° = 90°
y = (90° - 16°)/2
y = 37°
∠DOF = ∠BOF + ∠DOB = 90°
4x + 16° = 90°
x = (90° - 16°)/4
x = 18.5°
Tiffany has a 30% chance of winning a game. She uses random numbers to simulate a series of 7 games. In her simulation, the numbers 0–2 represent a win, and the numbers 3–9 represent a loss. Select all the trials whose results show 3 wins in 7 games played. A. 8531905 B. 4963184 C. 7269108 D. 0689271 E. 7042351 F. 9094562
Answer:
C. 7269108
D. 0689271
E. 7042351
Step-by-step explanation: If the number is 0,1 or 2, it is a win. Otherwise, it is a loss. Each number is a match.
- What is the common difference of the AP 11,-1,-13, -25, ... ?
Answer:
-12 is the common differences
I have no idea what to do, please help
Answer: Im confused just like you.
Step-by-step explanation: My teacher gave me that question too.
A coin is flipped 50 times and lands on heads 28 times. What is the theoretical probability that the coin will land on heads on the next flip?
A) 32%
B) 50%
C) 56%
D) 64%
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
<TUX and <YXU
Step-by-step explanation:
:))))))))))
Find the value of x for which pll q.
JA) 9
B) 15
C) 5
D) 10
Answer:
i don't get the question
Step-by-step explanation:
Find the area of the kite
A figure maps to another figure using one or more translations, reflections, or rotations. What must be true about the two figures?
A. The figures are congruent.
B. The figures are not rigid.
C. The figures have dilated or stretched.
D. The figures are regular polygons.
Answer:
a
Step-by-step explanation:
im stuck on this question
Answer:
y-intercept = ( 0,0.4)
x-intercept = ( 0.3,0)
Step-by-step explanation:
By inspection from the given graph
Answer:
y-int = (0,.4)
x-int = (.3,0)
At Ralphs Italian Ices, 145 sundaes were sold in June. Sales were up 23% in July. How many sundaes were sold in July?
Answer:
I Think 178
Step-by-step explanation: