Answers
[tex] \displaystyle \: x_{ \text{lesser}}= - 18.16\\ x _{ \text{greater}} = - 11.84[/tex]
Step-by-step explanation:
we are given a equation
we want to figure out x
add 10 to both sides:
[tex] \displaystyle \: (x + 15 {)}^{2} = 10[/tex]
square root both sides:
remember that,
[tex] \displaystyle \: a = \pm \sqrt{b} [/tex]
by that
[tex] \displaystyle \: x + 15 = \pm\sqrt{10} [/tex]
cancel 15 from both sides:
[tex] \displaystyle \: x = \pm\sqrt{10} - 15[/tex]
so
[tex] \displaystyle \: x_{ \text{lesser}}= - 18.16\\ x _{ \text{greater}} = - 11.84[/tex]
Related Questions
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)
Answers
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%.
If AABC ~ AEDC, find the value of x.
a. 32
5.8
C. 40
d. 15
Answers
Answer:
x = 15
Step-by-step explanation:
If ABC similar to EDC then we can use the similarity ratio to find the value of x
32/(3x-5) = 56/(5x-5) cross multiply the fractions
160x - 160 = 168x - 280 export like terms to the same side of the equation
280 - 160 = 168x - 160x
120 = 8x divide both sides by 8
15 = x
- What is the common difference of the AP 11,-1,-13, -25, ... ?
Answers
Answer:
-12 is the common differences
Find the value of x for which pll q.
JA) 9
B) 15
C) 5
D) 10
Answers
Answer:
i don't get the question
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
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
Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
Answers
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°
im stuck on this question
Answers
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)
Find the value of 3/x+7
if X= 25.
A) 32
B) 82
C) -8
D) 22
Answers
Answer:
32
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
If evaluated this is the answer!
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.
Answers
Answer:
a
Step-by-step explanation:
if you have four properties to do this week and the four properties have 45 square feet 100 square feet is 200 square ft and 300 square feet of yard what will be the total cost for the lawn care be this week
Answers
Answer:
Step-by-step explanation:
Square footage. ft². lock autosave. If you need to calculate the square footage of the floor's area, check out our square footage calculator.
Choose all of the statements that correctly compare the two functions shown.
Alec's rate of savings is greater than Beth's.
entific
Alec and Beth are saving at the same rate.
Alec started with more money than Beth
mulas
Time
maining
:19:23
Beth started with more money than Alec,
de les
At 10 days, Alec will have $1 more than Beth in savings,
Answers
Answer:
b, c and e
Step-by-step explanation:
Given
See attachment for functions
Required
Select all statements that contain both functions
First, calculate the rate (slope) of both functions.
This is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For Alec's
[tex](x_1,y_1) = (0,3)[/tex]
[tex](x_2,y_2) = (2,9)[/tex]
So, the slope is:
[tex]m = \frac{9 - 3}{2 - 0}[/tex]
[tex]m = \frac{6}{2}[/tex]
[tex]m =3[/tex]
For Beth's
[tex](x_1,y_1) = (5,17)[/tex]
[tex](x_2,y_2) = (12,38)[/tex]
So, the slope is:
[tex]m = \frac{38 - 17}{12 - 5}[/tex]
[tex]m = \frac{21}{7}[/tex]
[tex]m =3[/tex]
Beth and Rec have the same slope. Hence, they save at the same rate.
Next, determine the amount they started with.
This implies that we calculate y when x = 0
From Alec's graph.
[tex](x,y) = (0,3)[/tex]
Alec's initial savings is 3
For Beth's savings, we make use of slope formula.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex](x_1,y_1) = (5,17)[/tex]
[tex](x_2,y_2) = (0,y)[/tex]
So, we have:
[tex]3 =\frac{y - 17}{0 - 5}[/tex]
[tex]3 =\frac{y - 17}{ - 5}[/tex]
[tex]y - 17 = -15[/tex]
[tex]y = 17 -15[/tex]
[tex]y = 2[/tex]
Beth's initial savings is 2
Hence, Alec started with more money
Next, is to determine who has more money after 10 days.
Since they save at the same rate, the difference in their savings after any number of days will be the difference in their initial savings.
The difference (d) is calculated as:
[tex]d = 3 - 2[/tex]
[tex]d = 1[/tex]
Hence, Alec will have $1 more than Beth after 10 days
Answer:
its bc and e or Alec and Beth are saving at the same rate. Alec started with more money than Beth. and At 10 days, Alec will have $1 more than Beth in savings.
Step-by-step explanation:
help me please!
game board has a
spinner with 10 equal-sized sections, of which
4 are green, 3 are blue, 2 are yellow, and 1 is
red. What is the sum of the probabilities of the
pointer landing in the green, blue, yellow, and
red sections? Explain.
Answers
Answer:
1 or 100%Step-by-step explanation:
There are 4 colors and if the sum of the probabilities involves all those colors, then it equals to 1.
Calculation as below:
P(g) = 4/10P(b) = 3/10P(y) = 2/10P(r) = 1/10The sum is:
4/10 + 3/10 + 2/10 + 1/10 = 10/10 = 1I have no idea what to do, please help
Answers
Answer: Im confused just like you.
Step-by-step explanation: My teacher gave me that question too.
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
Answers
Answer:
A 0.014
Hope this helps!!!!
18.0 x 9 but with a decimal
Answers
ente. The box plot below shows the heights, in inches, of the 24 students in Brandon's homeroom -- 47 49 51 53 55 57 59 61 63 65 67 69 Select all the statements that describe the dass according to the box plot.
Answers
Answer:
4+
Step-by-step explanation:
AC || BD||AB||CD and AC | CD
Answers
Answer:
Ac
i dont know i need points
so hope it helps
Find the area of the kite
Answers
Question 5 (2 points)
Given the function rule y = 3x + 11, what is the value of y if x = 27
Answers
Answer: Y=83
Step-by-step explanation:
Answer:
y = 92
Step-by-step explanation:
plug in x = 27 into the equation y = 3x + 11,
y = 3(27) + 11
=> y = 81 + 11
=> y = 92
someone anwser this please
Answers
Square root 81 = one side length = 9m volume = 9^3 = 729
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.
Answers
150 kg, and 3mEq for each kg every hour. We can ignore the hour part, since it’s only 1 hour they’re looking for.
3mEq for each kg means 3 x 150 = 450 mEq total.
Since the concentration is 1mEq/1mL, we need 450mL.
Does that all make sense? Let me know if you have any questions.
Cancel
Done
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
Answers
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 :
https://brainly.com/question/24487155
#SPJ2
Use this model to calculate
3/8×2/6
Answers
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:
What’s the correct answer for this question?
Answers
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
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
Answers
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.
5.23 - 22x2 – 177 + 17
T5
Answers
Answer:
-198.77
Step-by-step explanation:
don't know what the t5 mean though here is your answer not including the T5
pls help me i’ve been having a hard time understanding this and i really really need help
Answers
Answer:
0
Step-by-step explanation:
the initial value is just the base line
At Ralphs Italian Ices, 145 sundaes were sold in June. Sales were up 23% in July. How many sundaes were sold in July?
Answers
Answer:
I Think 178
Step-by-step explanation:
PLEASE ANSWER ILL GIVE BRAINLY
Answers
Answer:
Step-by-step explanation:
A
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
<TUX and <YXU
Step-by-step explanation:
:))))))))))