For a given population of high school seniors, the Scholastic Aptitude Test (SAT) in mathematics has a mean score of 500 with a standard deviation of 100. Assume that the SAT scores are normally distributed. What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be
(a) more than 675?
b) between 450 and 675?
Answer:
The probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
Step-by-step explanation:
Mean of Sat =[tex]\mu = 500[/tex]
Standard deviation = [tex]\sigma = 100[/tex]
We will use z score over here
What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be
(a) more than 675?
P(X>675)
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]
Z=1.75
P(X>675)=1-P(X<675)=1-0.9599=0.0401
b)between 450 and 675?
P(450<X<675)
At x = 675
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]
Z=1.75
At x = 450
[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{450-500}{100}[/tex]
Z=-0.5
P(450<X<675)=0.9599-0.3085=0.6514
Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be
(a) more than 675 is 0.0401
(b)between 450 and 675 is 0.6514
A nurse must give a patient 50mg of a drug for each kilogram of the patients mass if patient weighs 198 lb how many milligrams of the drug should be given
Answer:
4,500 mg
Step-by-step explanation:
198x1x50=9900
1x2.2x1=2.2
9900/2.2=4,500
Given h (x) = 2x + 5, solve for x when h (x) = 3
Step-by-step explanation:
h(x)=2x+5
3=2x+5
3-5=2x
-2=2x
x= -2
2
x= -1
hope it help u
The value of x when h (x) = 3 would be -1.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given a function of x as;
h(x)=2x+5
We need to find the value of x when h (x) = 3
Thus,h(x)=2x+5
Plug the value;
3=2x+5
Remove 5;
3-5=2x
-2=2x
So, x = -2 /2
x= -1
Hence, the value of x when h (x) = 3 would be -1.
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
30,000 is 10 times as much as
Answer:
3000
Step-by-step explanation:
30000/10=3000
Hope this helps :D
In a survey of 600 students, 80% said they liked pop music. How many students liked pop music?
For percents
Answer:
480 students
Step-by-step explanation:
600 x .80
wot iz 1+1 :D rEEeEeEEeEEeEe
Answer:
It's JOHN CENA!
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
the process in which one plus one is 2 is to combine the both very complex numbers which equal only one digit so when you combine two one digits you get two
Gerald drives his car 48 miles each day for 32 days. How many miles does he drive in total?
Answer:
1536
Step-by-step explanation:
If he drives 48 miles everyday for 32 days, to get his total you multiply to by 32
Answer:
in I day he drives 48 miles
so how many for 32 days
32×481536milesA shelf is 24 inches wide. How many books, each StartFraction 7 Over 8 EndFraction of an inch thick, can fit on the shelf?
Which equation can be used to solve the above problem?
24 divided by StartFraction 7 Over 8 EndFraction
StartFraction 7 Over 8 EndFraction divided by 24 = b
b divided by 24 = StartFraction 7 Over 8 EndFraction
b divided by StartFraction 7 Over 8 EndFraction = 24
Answer:
it is a
Step-by-step explanation:
Let A = (1,2,3,4) and B= (0,1) use the set roster notation,to work each of the following sets and indicate the number of elements that are in each set?
a.A x B
b. bx A
c.A x A
d.B x B
Step-by-step explanation:
A={1,2,3,4}
B={0,1}
now,
a. A×B={1,2,3,4}×{0,1}
={(1,0)(1,1)(2,0)(2,1)(3,0)(3,1)(4,0)(4,1)}
b. B×A={(0,1)(0,2)(0,3)(0,4)(1,1)(1,2)(1,3)(1,4)}
c. A×A={(1,1)(1,2)(1,3)(1,4)(2,1)(2,2)(2,3)(2,4)(3,1)(3,2)(3,3)(3,4)(4,1)(4,2)(4,3)(4,4)}
d. B×B={(0,0)(0,1)(1,0)(1,1)}
hope it help u..
To make 5 smoothies that have the same ratio of apple juice to orange juice as 1 smoothie does, how much apple juice and orange juice should Sarah use? Explain.
Answer:
40 Apple juice and 20 Orange juice
Step-by-step explanation:
From the diagram, you know that 4 OJ makes one drink, so to make 5 drinks, you need 5 times that, or 20 OJ. You can also see that you need twice as much AJ as OJ, so that means you need 40 AJ.
*OJ = Orange juice and AJ = Apple juice
The function g(x) is graphed.
Which statements about the function are true? Choose
three options
9(1)=-1
3 2
090=0
9(4) = -2
(1) = 1
O 01-1=1 /
Answer:
I got A, B, D
Step-by-step explanation:
PLEASE ANSWER ASAP
Whoever answers FIRST gets BRAINLIEST
Thank you and Happy Thanksgiving
Answer:
1,087.59014, 23.7, 0.6868
Step-by-step explanation:
Any decimal that ends.
HELPPPPP PLEASEEEEEEEEE
Jo estimates that a piece of ribbon
measures 8.5 inches. If it actually
measures 7.8 inches, what is the
percent error of Jo’s estimate
Answer:
9
Step-by-step explanation:
Simplify: -3x2 + 5x -22 + 4x2 - 9x
a. -7x² + 14x - 22
b. x2 - 4x - 22
c. -X2 + 14x - 22
d. 7x2 + 4x - 22
Answer:
B
Step-by-step explanation:
PLEASE HELP ASAP!!!
Triangle Similarity Day 4- Overlapping triangles
Solve for x. Remember to draw two triangles and set up the proportion.
Answer:
x = 16
Step-by-step explanation:
The two ∆s would be ∆ABC and ∆EFG as drawn in the attachment below.
Thus, ∆ABC ~ ∆EFG. Therefore:
[tex] \frac{AB}{EF} = \frac{AC}{EG} [/tex]
AB = 12 + 3 = 15
EF = 12
AC = x + 4
EG = x
Plug in the values into the equation
[tex] \frac{15}{12} = \frac{x + 4}{x} [/tex]
Cross multiply
[tex] (15)(x) = (x + 4)(12) [/tex]
[tex] 15x = 12x + 48 [/tex]
Subtract 12x from each side
[tex] 15x - 12x = 48 [/tex]
[tex] 3x = 48 [/tex]
[tex] x = \frac{48}{3} [/tex]
[tex] x = 16 [/tex]
Which statement is true about function f, which is shown in the graph?
f(x)=x^6+10x^4-11x^2
On average, Tony the turtle completes a 15-foot course in 1 minute, and Antonio the turtle completes an 18-foot course in 1 minute. If Tony and Antonio both start at the same time and travel in the same direction, how far apart will the turtles be after 5 minutes?(1 point)
75 feet
15 feet
90 feet
165 feet
Answer:
15 feet.
Step-by-step explanation:
Tony's speed = 15 ft/min.
Antonio's = 18 feet /min.
So in 5 minutes Tony travels 5*15 = 75 feet and Antonio travels 5*18 = 90 feet.
So the answer is 90-75 = 15 feet.
How many calendars did the Mayans have
Answer:
three ( Long Count, Tzolkin, Haab )
Step-by-step explanation:
GIVING OUT BRAINLIST ASAP
find the sales price
$75 shirt; 20% coupon
Round your answer to the nearest cent (hundredths place)
Answer:
$15
Step-by-step explanation:
75 DIVIDED BY .20
20% = .2O
Answer:
The sales price is 60
Step-by-step explanation:
I just multiplied 75 and .20 and got 15
So you need to subtract 15 from 75 because that's the discount
pls mark brainliest
the is factoring quadratics with a leading coefficient: 5x to the 2 power - 14x + 8
Answer:
The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)
Step-by-step explanation:
Given quadratic polynomial is:
[tex]5x^2-14x+8[/tex]
To factor a quadratic polynomial with leading co-efficient has to be factorized, the leading co-efficient and the constant are multiplied and pairs(a,b) of the product are made so that their sum or subtraction is equal to the co-efficient of x
We get 40 by multiplying 8 and 5
And the pair we get are: 10 and 4
[tex]=5x^2-10x-4x+8\\=5x(x-2)-4(x-2)\\=(5x-4)(x-2)[/tex]
Hence,
The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)
find the derivative of x raise to 20
Answer:
[tex]\displaystyle \frac{d}{dx}[x^{20}] = 20x^{19}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationBasic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = x^{20}[/tex]
Step 2: Differentiate
Basic Power Rule: [tex]\displaystyle y' = 20x^{19}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
In what layer are convection currents found?
Continental crust
Inner core
Asthenosphere
Oceanic crust
Answer:
c
Step-by-step explanation:
A portrait has dimensions of 30“ x 60“ and is surrounded by a frame of uniform width. If the total area (Portrait plus frame) is 2584 square inches, find the width of the frame
Answer:
The width of the is 4 inches
Step-by-step explanation:
Assume that the width of the frame is x
∵ The width of the fame is x inches
→ That means each dimension will increase by 2x ⇒ x from each side
∵ The portrait has dimensions of 30“ x 60“
∴ Its dimensions including the frame = (30 + 2x) × (60 + 2x)
∴ The total area of the portrait plus frame = (30 + 2x)(60 + 2x)
→ Multiply the brackets
∵ (30 + 2x)(60 + 2x) = 30(60) + 30(2x) + 2x(60) + (2x)(2x)
∴ (30 + 2x)(60 + 2x) = 1800 + 60x + 120x + 4x²
→ Add the like terms
∴ (30 + 2x)(60 + 2x) = 1800 + 180x + 4x²
∴ The total area of the portrait plus frame = 4x² + 180x + 1800
∵ The total area of the portrait plus frame = 2584 square inches
→ Equate the two right sides of the area
∴ 4x² + 180x + 1800 = 2584
→ Subtract 2584 from both sides
∴ 4x² + 180x + 1800 - 2584 = 0
→ Add the like terms in the left side
∴ 4x² + 180x - 784 = 0
→ Divide all terms by 4 to simplify
∴ x² + 45x - 196 = 0
→ Factorize it to find the value of x
∵ x² + 45x - 196 = (x - 4)(x + 49)
→ Equate the right side by 0
∴ (x - 4)(x + 49) = 0
→ Equate each factor by 0
∵ x - 4 = 0
→ Add 4 to both sides to find x
∴ x = 4
∵ x + 49 = 0
→ Subtract 49 from both sides to find x
∴ x = -49 ⇒ refused it x can not be -ve (no negative dimensions)
∴ The width of the is 4 inches
A building has two sizes of apartments, small and regular. The ratio of small apartments to regular apartments is 14 to 6. What percent of apartments in the building are small?
Answer:
[tex]\%Percent = 70\%[/tex]
Step-by-step explanation:
Given
Represent Small Apartments with S and the Regular ones with R
[tex]S:R = 14:6[/tex]
Required
Determine the percentage of small buildings
This is calculated as thus:
[tex]\%Percent = \frac{S}{S + R} * 100\%[/tex]
Substitute values for S and R
[tex]\%Percent = \frac{14}{14 + 6} * 100\%[/tex]
[tex]\%Percent = \frac{14}{20} * 100\%[/tex]
[tex]\%Percent = \frac{14* 100\%}{20}[/tex]
[tex]\%Percent = \frac{1400\%}{20}[/tex]
[tex]\%Percent = 70\%[/tex]
Hence, the percentage if the small apartments is 70%
Note that if we're to calculate the percentage of the regular ones, the formula would have been:
[tex]\%Percent = \frac{R}{S + R} * 100\%[/tex]
find gcd of (510,92)
Answer:
The GCD of 510 and 92 is 2
Step-by-step explanation:
510 : 2 = 255
510 : 3 = 170
510 : 4 = 127.5
92 : 2 = 46
92 : 3 = 30.6667
92 : 4 = 23
hope this helps!
HELP FAST ITS AN IMAGE
Answer:
3
Step-by-step explanation:
jay has 8/10 pounds of pretzels he wants to make equal servings that are each 1/5 pound how many servings can he make
4 he can make four cuAse u can cut 8/10s into 4)5
Answer:
4
Step-by-step explanation:
Question 1 of 60
Find an underestimate for 32 x 67 by adjusting each factor down to the next
ten.
A. 2800
B. 2100
C. 1800
D. 2400
Answer:
2100
Step-by-step explanation:
30 x 70 = 2100
32 rounds to 30. 67 rounds to 70.
Answer:
[tex]2100[/tex]
Step-by-step explanation:
Estimate:
Change numbers 32 and 67 to the next factor:
[tex]30 and 70[/tex]
Multiply together:
[tex]2100[/tex]
So your answer is B:
[tex]2100[/tex]
The unit of pencil is what?
Answer:
In units of measurement of length we use centimeter (cm) to measure. We can use this unit for measuring the length of a pencil, the width of a book etc. but this unit is too big to measure the thicken of a pencil. So we use another unit called millimeter (mm).
Step-by-step explanation: