Answer:
a). 1.05 Elanor's standardized score
b). 1.04 Gerald's standardized score
Step-by-step explanation:
According to the Question,
(a). Given that, Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with a mean of 569 and a standard deviation 106.Thus, Elanor's standardized score is
[tex]Z=\frac{x-mean}{standard deviation}[/tex]
Z = (680-569) ÷ 106 ⇒ 111/106 ⇒ 1.047≈1.05
(b). Also Given that, Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with a mean of 24.5 and a standard deviation 2.4.Thus, Gerald's standardized score is
[tex]Z=\frac{x-mean}{standard deviation}[/tex]
Z = (27-24.5) ÷ 2.4 ⇒ 2.5/2.4 ⇒ 1.041≈1.04
How many feet are in 18 yards?
6 feet
30 feet
54 feet
216 feet
Answer:
54 is the answer
have a great dayyyy
Answer:
there are 64 feet in18 yards
Step-by-step explanation:
1 yard equals 3 feet
The following table shows the seven flowers a flower shop sells and the number of each it sold last year. How many flowers did the shop sell last year?
Flower
Number Sold
Roses
2326
Daisies
1895
Orchids
469
Lilies
972
Daffodils
444
Carnations
812
Irises
95
a.
7868 flowers
c.
3213 flowers
b.
4687 flowers
d.
7013 flowers
Answer:
just add em
Step-by-step explanation:
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 423 gram setting. Is there sufficient evidence at the 0.05 level that the bags are underfilled or overfilled
Translate the sentence into an equation.
Two more than the quotient of a number and 5 is equal to 4.
Use the variable Y for the unknown number.
Answer:
Step-by-step explanation:
y/5 That's your quotient
y/5 + 2 That's the quotient with 2 added on.
y/5 + 2 = 4 And that's your answer.
Always break the statements into the smallest possible steps that you can. Notice that I broke it down to 3 parts that are not quite equal in length.
What is the solution to flog4(x+8) - 427
Answer:
4270
Step-by-step explanation:
Let g(x) be the indicated transformation of f(x). Write the rule for g(x) f(x)=3x + 1: translation 2 units right
Answer:
3x +3
Step-by-step explanation:
3x + 1 + 2units(on the x axis)= 3x +3
Is this quadratic? If so what form is it?
Answer:
Yes. Factored form.
Step-by-step explanation:
Answer:
yes, and it's in intercept form
Step-by-step explanation:
Hi there!
We are given the function f(x)=-2(x-4)(x+3)
A quadratic function is a function that has a degree of 2 (the highest exponent in the function is to the 2nd power)
There are 3 forms to write a quadratic function:
standard form, which is f(x)=ax²+bx+c, where a, b, and c are free coefficients (numbers)
vertex form, which is f(x)=a(x-h)²+k, where a is a free coefficient and (h,k) is the vertex
intercept form, which is f(x)=a(x-[tex]x_{1}[/tex])(x-[tex]x_{2}[/tex]), where a is a free coefficient and [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are the x intercepts
You may notice that f(x)=-2(x-4)(x+3) is actually in intercept form; a is -2 and [tex]x_{1}[/tex] and [tex]x_{2}[/tex] are 4 and -3 respectively (remember: the formula for intercept form has -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex], but the x intercepts are [tex]x_{1}[/tex] and [tex]x_{2}[/tex]. Therefore, the x intercepts should be the opposites of -[tex]x_{1}[/tex] and -[tex]x_{2}[/tex]).
If the formula is in intercept form, it should be quadratic.
However, if you want to be sure it's quadratic, you can expand the function.
f(x)=-2(x-4)(x+3)
first, multiply the binomials together using FOIL
(x-4)(x+3)
x²-x-12
now multiply x²-x-12 by -2
-2(x²-x-12)
do the distributive property
-2x²+2x+24
It's a quadratic function! The value of the highest exponent is 2 :)
Hope this helps!
solve the literal equation for C. -3x+2c=-3
Step-by-step explanation:
I'm sorry I can't answer that but I know something so you can answer that. search Chrome quickmath all your problems, equations and more can be solved
Answer:
c = 3/2x + −3/2
Step-by-step explanation:
Let's solve for c
-3x+2c=-3
Step 1: Add 3x to both sides.
2c −3x + 3x = −3 + 3x
2c = 3x −3
Step 2: Divide both sides by 2.
2c = 3x−3
2 2
c = 3/2x + −3/2
Answer:
c = 3/2x + −3/2
when does two plus two equal five
Let W be part of the solid sphere of radius 4, centered at the origin, that lies above the plane z = 2. Set up an integral in cylindrical coordinates to find the volume of the region. Do NOT actually integrate.
Answer:
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Step-by-step explanation:
Since we have the radius of the sphere R = 4, we have R² = r² + z² where r = radius of cylinder in z-plane and z = height² of cylinder.
So, r = √(R² - z²)
r = √(4² - z²)
r = √(16 - z²)
Since the region is above the plane z = 2, we integrate z from z = 2 to z = R = 4
Our volume integral in cylindrical coordinates is thus
V = ∫∫∫rdrdθdz integrating from z = 2 to z = 4, r = 0 to √(16 - z²) and θ = 0 to 2π
Answer:
[tex]\displaystyle V = \int\limits^{2 \pi}_{0} \int\limits^{2\sqrt{3}}_{0} \int\limits^{\sqrt{16 - r^2}}_2 {r} \, dz \, dr \, d\theta[/tex]
General Formulas and Concepts:
Multivariable Calculus
Cylindrical Coordinate Conversions:
[tex]\displaystyle x = r \cos \theta[/tex][tex]\displaystyle y = r \sin \theta[/tex][tex]\displaystyle z = z[/tex][tex]\displaystyle r^2 = x^2 + y^2[/tex][tex]\displaystyle \tan \theta = \frac{y}{x}[/tex]Volume Formula [Cylindrical Coordinates]:
[tex]\displaystyle V = \iiint_T \, dV \rightarrow V = \iiint_T {r} \, dz \, dr \, d\theta[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
Solid sphere w/ radius 4 centered at (0, 0, 0) → x² + y² + z² = 4²
Plane z = 2
Step 2: Find Volume Pt. 1
Find bounds of z.
[Sphere] Substitute in plane z:∴ 0 ≤ r ≤ 2√3
Step 2: Find Volume Pt. 2
[Sphere] Substitute in plane z:∴ 0 ≤ θ ≤ 2π
Step 3: Find Volume Pt. 3
[Sphere] Substitute in cylindrical conversions:∴ 2 ≤ z ≤ √(16 - r²)
Step 4: Find Volume Pt. 4
Substitute in variables [Volume Formula - Cylindrical Coordinates]:∴ the volume of the region is found with the integral above.
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Learn more about multivariable calculus: https://brainly.com/question/17203772
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Topic: Multivariable Calculus
Unit: Triple Integral Applications
it takes jeremiah a total of 1 1/6 hours to ride his bike to and from work each day. if jeremah works 5 day a week for 4 weeks, how many hours does jeremiah spend riding his bike to and from work
From the observation deck of a skyscraper, Christian measures a 51^{\circ}
∘
angle of depression to a ship in the harbor below. If the observation deck is 1129 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary.
Answer:
1394 feets
Step-by-step explanation:
The solution triangle is attached below :
The horizontal distabce from the base is denoted as d :
Using trigonometry, we can obtain d, thus ;
Tan θ = opposite / Adjacent
Tan 51 = d / 1129
d = tan 51 * 1129
d = 1394.1988 feets
d = 1394 feets
Solve for x in the equation x squared + 2 x + 1 = 17.
Step-by-step explanation:
quadratic formula
-b+-√b^2
2a
-2+-√2^2-4×1×-16
2×1
-2+-√68
2
either
x= 3.125
or
x= -5.125
which expression is equivalent to the given expression?
Answer:
A.
Step-by-step explanation:
The a^3 would cancel out, currently leaving just b^5 on the top and ab on the bottom. The b would also cancel out, finally leaving just b^4/a. Therefore A is the answer equivalent to the original expression.
Can someone please help me? I'm stuck.
Answer:
Sure i can help you
Step-by-step explanation:
Answer:
Sure! What’s the question?
Step-by-step explanation:
CAN SOMEONE HELP ME PLS
Find the area of the circle shown below if the diameter is 24 inches. Use 3.14 for π. Use the formula π x r^2
A)1,808.64 inches
B) None of these answers
C)37.68 inches
D)452.16 inches
E)150.72 inches
==============================================================
Explanation:
The diameter is 24 inches, so the radius is half that at r = d/2 = 24/2 = 12 inches.
We'll use this along with the approximation pi = 3.14 to get the area
A = pi*r^2
A = 3.14*12^2
A = 452.16 square inches
Your teacher should have used "square inches" instead of "inches" as the unit.
We can abbreviate the "square inches" into "sq in" or "in^2".
This value is approximate since pi = 3.14 is approximate. Use more decimal digits of pi to find a more accurate value.
The exact area is 144pi
Answer:
D. 452.16 sq inches
Step-by-step explanation:
d = 24 ==> r = 24/2= 12 inches
the area = π×r²
= 3.14 × 12²
= 3.14 × 144
= 452.16 sq inches
A Canadian study examined the pregnancy weight gain of underweight mothers, women who had been underweight before becoming pregnant. A Normal distribution with mean 36.6 lb and standard deviation 11.9 lb is a reasonable model for the distribution of pregnancy weight gains in this population.
a) Perform the appropriate computation and fill in the blank to complete this sentence in context: In this population, the first quartile of pregnancy weight gains is_____.
b) For underweight mothers, health organizations recommend a pregnancy weight gain between 27.5 lb and 39.5 lb. What is the probability that a randomly selected underweight mother in Canada would have a pregnancy weight gain in the recommended range?
Answer:
The correct answer is:
(a) 44.6 lb
(b) 0.371
Step-by-step explanation:
Given values are:
Mean,
[tex]\mu=36.6[/tex]
Standard deviation,
[tex]\sigma=11.9[/tex]
(a)
The z distance third quartile will be:
⇒ [tex]P(Z<0.674)=0.75[/tex]
[tex]z =0.674[/tex]
By using the z-score formula, we get
⇒ [tex]x=z\times \sigma+ \mu[/tex]
[tex]=0.674\times 11.9+36.6[/tex]
[tex]=44.62[/tex]
(b)
⇒ [tex]P(27.5<x<39.5) = P[{\frac{(27.5-36.6)}{11.9} <\frac{(x-\mu)}{\sigma} <\frac{(39.5-36.6)}{11.9} }][/tex]
[tex]=P(-0.76<z<0.24)[/tex]
[tex]=P(z<0.24)-P(z<-0.76)[/tex]
By using the z table, we get
[tex]=0.5948-0.2236[/tex]
[tex]=0.371[/tex]
6
Find the slope of the line that passes through
(-4, 7) and (-6,-4)
b) -2/11
a) 2/11
d) -11/2
c) 11/2
Answer:
c) 11/2
Step-by-step explanation:
(-4, 7) and (-6, -4)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-4 - 7) / (-6 - (-4))
Simplify the parentheses.
= (-11) / (-6 + 4)
= (-11) / (-2)
Simplify the fraction.
-11/-2
= 11/2
This is your slope.
Hope this helps!
Please help it’s summer school and i need serious help
Answer:
B
Step-by-step explanation:
Ricardo has a wooden board that measures 5 feet in length. How many 1/4 foot long pieces can Ricardo cut from the board
Answer:
20 pieces of wood
Step-by-step explanation:
5 divided by 1/4: 20
another way to look at it is if there are 4 of these pieces in a foot, and there are 5 feet, 4 times 5 is also 20.
guys please help me :(((((((((( crying
Answer:
18
Step-by-step explanation:
2/6
4/12
6/18
Answer:
x = 18
Step-by-step explanation:
We can write ratios
2 2+4
---- = -----
6 x
Using cross products
2x = 6(2+4)
2x = 6(6)
2x = 36
Divide by 2
2x/2 = 36/2
x = 18
The red line below is parallel to which of the following?
Answer:
option A
Step-by-step explanation:
X- axis
A . the x-axis
Step-by-step explanation:
The lines never meet
What is the Greatest Common Factor of:
15x7y5+5x5y4−20x6y
Answer:
5x⁵yStep-by-step explanation:
15x⁷y⁵ + 5x⁵y⁴ - 20x⁶y = 5x⁵y*3x²y⁴ + 5x⁵y*y³ - 5x⁵y*4x = 5x⁵y(3x²y⁴ + y³ - 4x)Jose bought a plant. The height, h, of the plant is 2 feet. He noticed that every month, m,
the plant grows by 0.5 feet. What equation represents the height of the tree?
Answer:
the answer is h=0.5m+2 I think
Factor completely
9 – 25x^2
Pls help i will mark the brainliest!
Answer:
more
Step-by-step explanation:
The answer is (5x+3)(-5x+3)
Help i need your math skill
It’s hard
Answer:
1/128th
Step-by-step explanation:
I am not completely sure. Sorry!
Good Luck!
Hope this helps!
Answer:
7cups
Step-by-step explanation:
56fl oz is equal to 7 cups
y-4=7(x-6)y−4=7(x−6)
Answer:
I believe the question was written twice on accident
y=7x-38
Step-by-step explanation:
y-4=7(x-6)
y-4=7x-42
y=7x-38
three boards are placed end to end to make a walkway. the first board is 4 feet 5 inches long, the second is 6 feet 9 inches ling, and the third is 3 feet 11 inches long. how long is the walkway
Answer:
15 feet 1 inch
Step-by-step explanation:
Given :
Length of boards placed end to end :
Board 1 = 4 feet 5 inches
Board 2 = 6 feets 9 inches
Board 3 = 3 feets 11 inches
The length is the addition of the lengths of the 3 boards :
4 ft 5in + 6 ft 9 in + 3 ft 11 in
(4+6+3) ft + (5+9+11) in
13ft + (25in)
1 ft = 12 in
25 in = 2 ft 1 in
13 ft + 2ft 1 in
15 ft 1 in
Necesito ayuda con este ejercicio hay que determinar el valor de la a: [tex]a^{20} : a^{2x} = a^{12}[/tex]
Answer:
x = 10 + log(1/a^12)/(2 log(a)) + (i π n)/log(a) for n element Z
Step-by-step explanation:
Solve for x:
a^(20 - 2 x) = a^12
Take reciprocals of both sides:
a^(2 x - 20) = 1/a^12
Take the logarithm base a of both sides:
2 x - 20 = log(1/a^12)/log(a) + (2 i π n)/log(a) for n element Z
Add 20 to both sides:
2 x = 20 + log(1/a^12)/log(a) + (2 i π n)/log(a) for n element Z
Divide both sides by 2:
Answer: x = 10 + log(1/a^12)/(2 log(a)) + (i π n)/log(a) for n element Z
