Answer:
1.04167
Step-by-step explanation:
Z -score formula is given as
z = (x-μ)/σ, where
x is the raw score = 74
μ is the population mean = 69
σ is the population standard deviation = 4.8
Z score = x - μ/ σ
= 74 - 69/4.8
= 1.04167
The z score for a person is given as 1.04167
Rita is making chili. The recipe calls for 4 3/4
cups of tomatoes.
How many cups of tomatoes are used in the recipe? Enter your answer as a fraction greater than 1.
Answer:
5 3/4
Step-by-step explanation:
Answer:
in my opinion i would say.. 4/1 cause how many cups but if im wrong im sorry
Step-by-step explanation:
Gwen, Tristan, and Keith like to work out at the gym. They each have an app on their phone that estimates the calories they burn. By the time Tristan and Keith started exercising, Gwen had already burned 100 calories. Gwen burns 10 calories every minute, Tristan burns 125 every 10 minutes, and Keith burns 300 calories every 30 minutes. Let x represent the number of minutes since Tristan and Keith started exercising and y represent the number of app-estimated calories burned.
Write an equation representing the number of calories Tristan has burned with respect to the number of minutes since he and Keith started exercising.
Answer:
Gwen has already burned 100 calories when Tristan and Keith started, and he continues to burn 10 calories per minute.The equation for Gwen is
y = 100 + 10x
Question 2)`Tristan is burning 125 calories every 10 minutes. His burning calories rate is 12.5 calories per minute. The equation for Tristan is
y = 12.5x
Question 3)Keith is burning 300 calories in 30 minutes. His rate per minute is 10 calories per minute. The equation for Keith isy = 10x
Step-by-step explanation:
What is the slope of the line
(Picture below)
One card is selected at random from a deck of cards. Determine the probability that the card selected is a card greater than 3 and less than 8.
Answer:
4/13
Step-by-step explanation:
Count all cards that are 4, 5, 6, and 7 (each of 4 different suits) so the number of cards that is greater than 3 and less than 8 = 4(4) = 16.
There are 52 cards in a standard deck of cards.
P(greater than 3 and less than 8)
= 16/52
= 4/13
4 The expression (2x² + 6x + 5)-(6x² + 3x + 5) is
equivalent to
1) 4x2 + 3x
2) 4x2 – 3x
3) 4x2 – 3x + 10
4) 4x2 + 3x - 10
Answer:
1) 4x² + 3x
Step-by-step explanation:
Add/Combine like terms:
2x² - 6x² = -4x²
6x - (+3x) = 3x
5 - (+5) = 0
Simplify: -4x² + 3x
13 out of 25 people agreed to help at a charity event. What percentage is
this?
21 out of 40 children arrived on time. What percentage were late? *
Find the percentage
A French test is out of 48 marks.
Simone scores 30 marks.
What is Simone's score as a percentage?
Answer:
Hi! The correct answer is 3.25, 7.6 and 0.3!
Step-by-step explanation:
Help please ☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️☀️
Answer:
5/6
Step-by-step explanation:
Answer:
1 1/2 - 2/3 = 5/6
Step-by-step explanation:
I hope i helped ^^
integral of below.
ſ√y . e^-y^3
Assuming you're equipped with the error function,
[tex]\mathrm{erf}(x)=\displaystyle\frac2{\sqrt\pi}\int_0^x e^{-u^2}\,\mathrm du[/tex]
whose derivative is
[tex]\dfrac{\mathrm d}{\mathrm dx}\mathrm{erf}(x)=\dfrac2{\sqrt\pi}e^{-x^2}[/tex]
by substituting x = √y, so that x ² = y and 2x dx = dy, we have
[tex]\displastyle\int\sqrt y e^{-y^3}\,\mathrm dy=\int 2x^2 e^{-x^6}\,\mathrm dx[/tex]
Then if u = x ³ and du = 3x ² dx, we have
[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\int\frac23 e^{-u^2}\,\mathrm du[/tex]
[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\frac{\sqrt\pi}3\mathrm{erf}(u)+C[/tex]
[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\frac{\sqrt\pi}3\mathrm{erf}(x^3)+C[/tex]
[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\boxed{\frac{\sqrt\pi}3\mathrm{erf}\left(y^{\frac32}\right)+C}[/tex]
If you're not familiar with the error function, unfortunately there is no elementary antiderivative...
The melting/freezing point of mercury is –39ºC. A scientist put liquid mercury into a freezer that is kept at a constant temperature of –35ºC. Will the liquid mercury freeze?
Answer:
The mercury will not freeze because the freezer is warmer than the freezing point of mercury.
Step-by-step explanation:
A "freezing point" is a point that allows a liquid to solidify. This is lower than the melting point (of course). However, specific liquids freeze at varying freezing points.
For example, the freezing point of water is 0°C while the freezing point of Mercury is -39°C. This means that water will only freeze once it reaches a temperature of 0°C or lower than this. Same goes for Mercury–it needs to reach the temperature of -39°C or lower in order to freeze.
How to solve for x?
Answer:
159
Step-by-step explanation:
35x-1 =-35 plus 34x20
What are the solutions to the absolute value inequality |x − 70| ≤ 3?
Remember, the inequality can be written as −3 ≤ x − 70 ≤ 3
or as x − 70 ≤ 3 and x − 70 ≥ −3.
Answer:
67 ≤ x ≤ 73
Step-by-step explanation:
The absolute value of a real number x is the non negative value of x. Therefore the absolute value of x (|x|) = x for x ≥ 0 and -x for x < 0.
An expression |x - a| = b signifies that x - a = b or -(x - a) = b
Given that |x − 70| ≤ 3, hence:
|x − 70| ≤ 3
x - 70 ≤ 3 or -(x - 70) ≤ 3
x ≤ 3 + 70 or x - 70 ≥ -3
x ≤ 73 or x ≥ -3 + 70
x ≤ 73 or x ≥ 67
67 ≤ x ≤ 73
Hence the solution of |x − 70| ≤ 3 is 67 ≤ x ≤ 73
Please help. I dont understand how to do this. Enter the coordinates of the vertices of (Ry-axis ∘ r(90°, O))(QRST).
Answer:
I think it's
Q = ( 1 , 3 )
R = ( 3 , 3 )
S = ( 0 , 2 )
T = ( -2 , 1 )
Step-by-step explanation:
please tell me if this is wrong.
Hope this helps!
PLEASE HELP ME THANK YOU ILL MARK BRAINLESS
Answer: y=4/3x-8
Step-by-step explanation:
. A cell phone company has three different production sites. Five percent of the cars from Site 1, 7% from Site 2, and 9% from Site 3 have been recalled due to unexpected shutdown issue. Suppose that 60% of the phones are produced at Site 1, 30% at Site 2, and 10% at Site 3. If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3 (write it up to second decimal place)
Answer:
0.15 = 15% probability that it came from Site 3
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Being recalled
Event B: Recalled from site 3.
Probability of being recalled:
5% of 60%(from site 1)
7% of 30%(from site 2)
9% of 10%(from site 3).
So
[tex]P(A) = 0.05*0.6 + 0.07*0.3 + 0.09*0.1 = 0.06[/tex]
Probability of being recalled, being from site 3.
9% of 10%.
[tex]P(A \cap B) = 0.09*0.1 = 0.009[/tex]
If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.009}{0.06} = 0.15[/tex]
0.15 = 15% probability that it came from Site 3
I GIVEEEE BRAINLILST
Answer:
257cm
Step-by-step explanation:
Can I get brainliest pls
What is 2k2 – 13k – 24 factored
Answer:
(2k+3) (k−8)
Step-by-step explanation:
I need help with this
Answer:
x = 24.52
Step-by-step explanation:
Since this is a right triangle, use Pythagorean Theorem to solve for the hypotenuse.
Pythagorean Theorem: a² + b² = c²
24² + 5² = x²
576 + 25 = x²
601 = x²
√601 = x
Choose the two rectangles that have an area of 18 square centimeters.
6 cm
9 cm
OA
D.
3 cm
2 cm
9 cm
7 cm
B
E
9 cm
2 cm
5 cm
C
4 cm
Answer:
Rectangle ARectangle DStep-by-step explanation:
To find the answer, calculate the area of the rectangles.
Area of rectangle = Length * Width
Rectangle A Rectangle B Rectangle C
= 6 * 3 = 9 * 9 = 5 * 4
= 18 cm² = 81 cm² = 20cm²
Rectangle D Rectangle E
= 9 * 2 = 7 * 2
= 18 cm² = 14 cm²
The two rectangles are therefore A and D.
Write the following number in scientific notation:
4, 332
4.332 x 10³
Step-by-step explanation:
hope it helps!
I need help please ASAP
A plant can grow A inches in B months where a is a non-negative rational number and B is a natural number. the height is proportional to the number of months after the plant is planted. in which to situations would be the constant proportionality be less than one for the equation equals a=kb
Soz I do not know the answer but if you need help I would recommend going to a friend or family member for help if you are still stuck you should consider messaging a teacher via email but if this is urgent and a teacher does not respond you should try to contact him/her using a phone call you should also try getting in contact with other people in the learning facility for example a T.A
Simplify
2g + 4h + 4i -8g + 3h - 4i
Answer:
-6g + 7h
Step-by-step explanation:
-7 + 5
Explain Thank you
Answer:
-7 + 5 = -2
Step-by-step explanation:
Basically, this equation can be thought of as 5 - 7, which would equal -2.
Latoya can plant 1/3of her garden in 2/5 hour. If she continues working at this rate, what fraction of Latoya’s garden can she plant in one hour?
Answer:
Latoya can plant 5/6 of her garden in one hour.
Step-by-step explanation:
☆We can solve using proportion!
[tex] \frac{ \frac{1}{3 } \: of \: garden }{ \frac{2}{5} \: of \: hour } = \frac{x}{1 \: hour} \\ \\ \frac{ \: \frac { 2}{5}x }{ \frac{2}{5} } = \frac{ \frac{1}{3} }{ \frac{2}{5} } \\ \\ x = \frac{5}{6} [/tex]
lena orders hats for the school baseball team. she pays 5.41 for shopping how much do each of the hats cost x dollars. if Lena spends 63.23 total order. how much do each of the hats cost
Answer:
$11.69
Step-by-step explanation:
63.23 / 5.41 = 11.6876155
Question 5(Multiple Choice
PLEASE HELP ME!
Worth 5 points)
(01.02 MC)
Which of the following correctly uses absolute value to show the distance between -80 and 15?
01-80 - 151 = 1-95] = -95 units
01-80 + 15| = |-651 = 65 units
01-80 – 151 = 1-95) = 95 units
01-80 + 15= |-65= -65 units
Answer:01-80 + 15= |-65= -65 units
Step-by-step explanation:
what is 5x46+675-39x45 ?
Answer:
-850
Step-by-step explanation:
you do multiplication first, then do the addition
A company manufactures a certain item and sells it online. The company has a business model where the cost C, in dollars, to make x items is given by the equation C=2.5x+21 and the revenue R, in dollars, made by selling x items is given by the equation R=6x. The break even point is the point where the cost and the revenue intersect. How many items must the company sell to break even?
Answer:
see the attachment
Step-by-step explanation:
The break-even point is on both curves. The y-intercept can be used for the other point in each case.
The break-even point is where cost and revenue are the same:
20/3x +50 = 10x
50 = 10/3x . . . . . . . . subtract 20/3x
15 = x . . . . . multiply by 3/10
r = c = 10(15) = 150 . . . . for x = 10
Two points you can use for graphing the lines are ...
cost: (0, 50) and (15, 150)
revenue: (0, 0) and (15, 150)
9514 1404 393
Answer:
6
Step-by-step explanation:
Cost and revenue are equal when ...
C = R
2.5x +21 = 6x
21 = 3.5x . . . . . . subtract 2.5x
6 = x . . . . . . . . . .divide by 3.5
The company must sell 6 items to break even.
100%
TA
Jenna and Todd are running for president of a school club. The candidates for vice president are Todd, Annie, and Luis. Because Todd is
running for both positions, he can't be elected vice president if he is elected president.
Which list shows all the possible outcomes for president (P) and vice president (VP)?
P
VP
P
VP
Jenna Annie
Jenna Todd
A
Jenna Luis
Oc.
Todd Annie
Jenna Annie
Todd Luis
Jenna Luis
Р
VP
P
VP
Jenna Todd
Jenna Annie
Jenna Annie
Jenna Luis
OB.
D
Jenna Luis
Todd Jenna
Todd Annie
Todd Annie
Todd Luis
Todd Luis
Answer: It would be Todd for (P) and Jenna for (VP)
Step-by-step explanation: OK, so look there are four people wanting to run for president and vice presdent so Todd and Jenna are running for a school club Todd has a higher chance of getting one of the two positions because if people vote enough for Todd to get the president position and has a change of getting vice president so If Jenna get lots of vote for (P) then she will run for (P) but if not flip flop Todd and Jenna positions and one of them go to get some position or if not the candidates move up a step.
The question is:
Which calculation and answer show how to convert 13/16 into a decimal
Answer:
I think the answer is D
Step-by-step explanation:
Answer is D, because if you divide 13 and 15 it gives you 0.8125