Answer:
-17 C
Step-by-step explanation:
14 - 5(6.2) = 14 - 31 = -17 C
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of OC at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings above 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information. Find Q3, the third quartile.
A) 0.53
B) 0.67
C) -1.3
D) 0.82
Using the normal distribution, it is found that the third quartile is of Q3 = 0.67, hence option B is correct.
In a normal distribution 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]
It 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, which is the percentile of X.In this problem:
The mean is of 0ºC, hence [tex]\mu = 0[/tex].The standard deviation is of 1ºC, hence [tex]\sigma = 1[/tex].The third quartile is X when Z has a p-value of 0.75, as [tex]100\frac{3}{4} = 75[/tex], hence X when Z = 0.67.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.67 = \frac{X - 0}{1}[/tex]
[tex]X = 0.67[/tex]
To learn more about the normal distribution, you can take a look at https://brainly.com/question/24663213
Marlee had a certain amount of money (x) in her bank
account. She deposited $60.00 from her grandmother
for her birthday. She then spent of the money in her account on rent that totaled $550. Which equation represents this situation?
Answer:
x-490=t
Step-by-step explanation:
Marlee has x money
She deposited $60 meaning adding $60 to the bank
So x+60
THen Marlee need to withdraw $550 from her bank to rent
So the equation is now
x+60-550
60-550 is -490
Thus:
x-490
(I will represent (t) as the money she has left for the equation)
Thus the equation is
x-490=t
Hope this helps!
:) Help please..........................
Answer:
Both are false
Step-by-step explanation:
When you dilate something by a number >1 it gets larger.
The point S(0,–2) is translated 4 units left. What are the coordinates of the resulting point, S'?
S(0,-2)
Translated 4 units left means y coordinate is kept constant.x coordinate is decreased by 4i.e
[tex]\\ \sf{:}\Rrightarrow 0-4=-4[/tex]
New co-ordinates are
(-4,-2)A dollar bill is about 0.00011 meter thick. What is this thickness in scientific notation?
Answer:
1.1 * 10 ^ -3Step-by-step explanation:
Given the value of the thickness of a dollar bill to be 0.00011 metre .
The standard scientific Notation is expressed as A * 10 ^ n
A is any value between 1 and 10 where n is any Integer .
0.00011 = 11 / 100000
0.00011 = 11 / 10000
0.00011 = 11 *1 / 1000
0.00011 = 11 * 0.0001
0.00011 = 1.1 * 0.001
0.0011 = 1.1 * 10 ^ -3
Hope this helps you !!Triangle CDE is similar to triangle FGH. Find the measure of side GH. Round your
answer to the nearest tenth if necessary.
E
H
11.4
D
7
F
G
31
The measure of side GH is 50.486 units.
Two triangles are similar if they share the same set of internal angles, that is, the following conditions are met:
[tex]\angle C \cong \angle F[/tex] (1)
[tex]\angle E \cong \angle H[/tex] (2)
[tex]\angle D \cong \angle G[/tex] (3)
Then, we can determine the length of the line segment [tex]GH[/tex] by the following relationship:
[tex]\frac{CD}{FG} = \frac{DE}{GH}[/tex] (4)
If we know that [tex]CD = 7[/tex], [tex]FG = 31[/tex] and [tex]DE = 11.4[/tex], then the value of the line segment [tex]GH[/tex] is:
[tex]GH = \frac{FG\cdot DE}{CD}[/tex]
[tex]GH = \frac{31\cdot 11.4}{7}[/tex]
[tex]GH = 50.486[/tex]
The measure of side GH is 50.486 units.
To learn more on similar triangles, we kindly invite to check this verified question: https://brainly.com/question/25882965
Please help me with this math problem!! NO LINKS PLEASE!! IT'S DUE TONGIHT AT 11:59PM!! :)
Answer:
∆L = 51°
∆Y = 28°
∆B = 101°
∆U = 51°
UG = 10.66666
BG = 4x
6 × 2 = ?
5 - 3 = ?
~~~~~~~~~~~
Hi i'm from Indonesian
Answer:
12
2
answer
hope it helps
A map with a scale of 2:in:350 mi shows two cities to be 6 inches apart. How many miles apart are the cities?
Answer:
1050miles.
Step-by-step explanation:
since every 2 inches=350 miles, then 6 inches= 3(350miles)
since 6/2=3.
or you can think of it this way:
there are 3 2-inches in 6 inches, and every 2 inches, it's 350s miles.
350+350+350=1050miles.
Tiffany babysits to earn extra money. She charges a fee of $15 per hour for one child, and then an added $30 overall for each additional child. If she wants to make a total of $150 this week, babysitting a family with 4 children, what is the minimum number of hours she can work for?
Answer: Minimum for $150: 2 Hours
Step-by-step explanation: First, Tiffany charges $30 per additional child. If she babysits for 4 children, you do 30 x 4, which is equal to 120. That would be the cost for the children. Now, if she charges $15 PER HOUR, then you just add up $15 + $15, which is $30, and you add that $30 to the $120. Which is $150. There you have it. If this is wrong, correct me please!
Answer the following question:
7/2h - 3 (5h - 7/2)
Answer:
For easy way
convert to decimals first
3.5h - 3 (5h - 3.5)
Open brackets
3.5h - 15h + 10.5
Answer = 10.5 - 11.5h
I need a answer as soon as possible
Answer:
67
Step-by-step explanation:
Because 180-113 is 67.
Answer:
67°
Step-by-step explanation:
A line is 180° so subtract the 113°
180 - 113 = 67°
hope that helps and have a great day :D
Each box of candy canes has 12 candy canes. How much does each candy cane cost?
Based on the information given, the cost of each candy cane will be $3.00.
This is an incomplete information as you didn't provide the cost of the box. Let's assume that the cost of the box is $36.
From the information given, we are told that each box of candy canes has 12 candy canes. Therefore, the cost of each candy cane will be:
= $36 / 12
= $3.
Learn more about equation on:
https://brainly.com/question/13802812
which equation generates the value in the table
Answer:
A
Step-by-step explanation:
Hello could someone help me will name brainliest. No links please
Graph the solution to this inequality on the number line.
-3x<4.2
-3 -2.5 -2 -1.5 -1 -0.5 0 0.5 1
1.5 2
2.5 3
[tex]\\ \sf\longmapsto -3x<4.2[/tex]
[tex]\\ \sf\longmapsto x<4.2/-3[/tex]
[tex]\\ \sf\longmapsto x<-1.4[/tex]
Graph attached
The solution to the given set of inequality is -
x > - 1.4.
What is the general equation of a Straight line? What is a linear inequality?
The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}
(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}
x/a + y/b = 1 {intercept form}
x cos(β) + y sin(β) = L {Normal form}
A linear equality is of the form -
y ≤ mx + c
y ≥ mx + c
y > mx + c
y < mx + c
We have the given inequality as -
-3x < 4.2
We have the following inequality as -
-3x < 4.2
x > (- 4.2/3)
x > - 1.4
Therefore, the solution to the given set of inequality is -
x > - 1.4.
To solve more questions on straight lines, visit the link below-
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#SPJ2
Does anyone know how to answer this?
Step-by-step explanation:
We first calculate the lenght of the diameter, that is also the lenght of the hypotenuse of the right triangle shown in the figure:
d = [tex]\sqrt{3^2 + 4^2} = \sqrt{25} = 5[/tex] cm
The radius of the circle will be half of the diameter: r = d/2 = 2.5 cm
The area of the circle will be: Acircle = pi * r^2 = pi * 6.25 cm^2 = 19.6 cm^2 (circa).
Now from the area of the circle we subtract the area of the square:
Asquare = 4cm * 3cm = 12cm^2
A shaded = Acircle - Asquare = 19.6 cm^2 - 12cm^2 = 7.6 cm^2
Which type of graphs can show continuous data?
a. line graph
b. bar graph
c. line plot
d. pictograph
Answer:
bar and line
Step-by-step explanation:
Based on the information in the table, how much will Henry earn if he worked 7 hours?
A
$48
+
B
$72
С
$9
D
$63
Answer:
D.
Step-by-step explanation:
A baby who was 18 inches at birth is now 24 inches by what percentage did the babys height increase
Answer:
≈33.3%
Step-by-step explanation:
First we find the difference of the heights to see what the growth was
24-18 = 6
Then we find what percent 6 is of 18 to see what percentage growth occured
6/18 ≈33.3%
Please help again please and thank you :)
Answer:
B)154
Step-by-step explanation:
98:7=x:11
x=154
The swimming pool is open when the high temperature is higher than 20^\circ\text{C}20∘C20, degrees, start text, C, end text. Lainey tried to swim on Monday and Thursday (which was 333 days later). The pool was open on Monday, but it was closed on Thursday. The high temperature was 30^\circ\text{C}30∘C30, degrees, start text, C, end text on Monday, but decreased at a constant rate in the next 333 days.
Answer:
Inequality: 30 - 3d ≤ 20
Rate of decrease from Monday to Thursday: greater than or equal to 10/3 degrees Celsius per day
Step-by-step explanation:
Translate theconditions into mathematical terms:
HIgh temperature on Monday = T₀ = 30°C.
The temperature decrease at a constant rate in the next 3 days. Call d such rate, so T₃ = T₀ - 3d = 30 - 3d
That the pool is open when the high temperature is higher than 20°C means that, if the pool is closed, then the temperature is less than or equal to (≤) 20°C:
30 - 3d ≤ 20
And that is the requested inequality.
From that, you can solve for the rate of temperature decrease, d:
Add 3d to both sides: 30 ≤ 20 + 3d
Subtract 20 from both sides: 10 ≤ 3d
Divide both sides by 3: 10/3 ≤ d
Apply symmetry property: d ≥ 10/3
Hence, the rate of temperature decrease is greater than or equal to 10/3 degrees Celsius per day, from Monday to Thursday.
Answer:
30 - 3d ≤ 20
d≥10/3
Step-by-step explanation:
There are 3 cyan, 9 magenta and 15 yellow printer cartridges in a box.
We pick one at random, then pick another one, without replacement.
What is the probability that both of them will be cyan?
Answer: Less likely since the number of cyan is quite lower or the lowest in comparison of magenta and yellow.
It is a Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In 20 min, the bucket is 1/8 of the way full. What is the rate at which the water is leaking per hour? and what is the longest time he can be away from the house before the bucket will overflow?
Step-by-step explanation:
You start by asking yourself or as I call it crossmultiply
if 20 min the bucket is 1/8 full what about 8/8 or a whole
20×8/8×1/8
=160 min or 2.6 hrs
Answer:
[tex]2\frac{1}{2} hours[/tex]
Step-by-step explanation:
What is the rate at which the water is leaking per hour?
rate: [tex]\frac{1}{5} buckets = \frac{1}{5}/ \frac{1}{2} buckets/ hr\\ ----\\\frac{1}{2} hour = \frac{2}{5} buckets/ hr[/tex]
Write an equation that represents the relationship between the number of buckets filled, , in hours.
[tex]y=\frac{2}{5}x[/tex]
What is the longest that Jeremy can be away from the house before the bucket will overflow?
[tex]\frac{5}{2}[/tex] or [tex]2\frac{1}{2} hours[/tex]
How i can answer this question
60m
How?
5m × 3m × 4m
5m × 3m = 15m
15m × 4m = 60m
Therefore
the answer is 60
bryan has some 3 cent stamps and some 4 cent stamps. what is the least number of stamps he can combine so the value of the stamps is 33 cents?
Answer:
The least number of stamps required is [tex]9[/tex]
Step-by-step explanation:
Let the number of [tex]3[/tex] cent stamps be [tex]x[/tex] and [tex]4[/tex] cent stamps be [tex]y[/tex]
We have
[tex]3x+4y=33[/tex]
The minimum number is obtained when more [tex]4[/tex] cent stamps are used
Here [tex]y[/tex] cannot be greater than [tex]8[/tex] since [tex]\frac{33}{4} <9[/tex]
Substitute [tex]y=8[/tex]
[tex]3x+4\times 8=33\\\\3x=1\\\\x=\frac{1}{3}[/tex]
Not possible since [tex]x[/tex] is not a fraction
Substitute [tex]y=7[/tex]
[tex]3x+4\times 7=33\\\\3x=5\\\\x=\frac{5}{3}[/tex]
Not possible since [tex]x[/tex] is not a fraction
Substitute [tex]y=6[/tex]
[tex]3x+4\times 6=33\\\\3x=9\\\\x=\frac{9}{3}\\\\=3[/tex]
Possible
Hence minimum number of stamps is
[tex]=x+y\\\\=3+6\\\\=9[/tex]
convert 3x-y=-5 to slope intercept form
Answer:
y=3x+5
Step-by-step explanation:
y=mx+b
-y=-5-3x
divide each term
y=5+3x
reorder 5 and 3x
answer:y=3x+5
Which of the following correctly simplifies the expression
(3^2 X 5^0 /4) ^2
Which equation represents the line that passes through the points (0, 3) and (2,6)
A y = -3/2x + 3
B y = 2/3x + 3
C y = 3/2x + 3
D y = 3/2x
Answer:
C) y=3/2x+3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-3)/(2-0)
m=3/2
y-y1=m(x-x1)
y-3=3/2(x-0)
y=3/2(x)+3
y=3/2x+3
Answer:
C) y=3/2x+3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(6-3)/(2-0)
m=3/2
y-y1=m(x-x1)
y-3=3/2(x-0)
y=3/2(x)+3
y=3/2x+3
can anyone please solve this
Answer:
Its ether 3 or 4.
Step-by-step explanation:
its more than likely its 4 but I wasn't %100 sure.