Answer:
32 packs of crayons
Step-by-step explanation:
480 divided by 15 equals 32.
Write the following ratio as a reduced fraction. Simplify your answer when possible: 22 to 42
Answer:
11 / 21
Step-by-step explanation:
The ratio 22 to 42 can be written as: 22 : 42, and in fraction form as:
22 / 42 in this fraction we can cancel a common factor of 2 from numerator and denominator, leaving us with the reduced fraction:
2 * 11 / (2 *21) = 11 / 21
Sarah paid $27.50 for 2 shirts. Each shirt costs the same amount.
Let n equal the cost of one new shirt.
• Create an equation that can be used to find the cost, in dollars, of n shirts.
• What is the cost of one shirt? $13.75
What is the equation??
Answer:
27.50 divided by 2
10. Which ordered pair (x, y) is a solution of 3x +4y = 12?
A (-2, 4)
B (0, -3)
C (1,2)
D (4,0)
Answer:
C. (1, 2)
Step-by-step explanation:
3x + 4y = 12
3(1) + 4(2) = 12
3 + 8 = 12
12 = 12
Select the correct answer from each drop-down menu.
ABC has A(-3, 6), B(2, 1), and C(9, 5) as its vertices.
The length of side AB is____ units. The length of side BC is ____ units. The length of side AC is ____ units . <ABC=___
Answer:
The length of side AB is
(50)^1/2
units. The length of side BC is
(65)^1/2
units. The length of side AC is
(145)^1/2
units. ∠ABC ≈
105.26°.
Multiply Binomials
(x + 3)(2x + 1)
Answer: 2x^2 + 7x + 3
Step-by-step explanation:
(x+3)(2x+1)
(2x^2+1x+6x+3)
2x^2 + 7x + 3
An experiment on the teaching of reading compares two methods, A and B. The response variable is the Degree of Reading Power (DRP) score. The experimenter uses Method A in a class of 100 students and Method B in a comparable class of 100 students. Students are assigned to the two classes at random. Suppose that in the population of all children of this age the DRP score has the N(75, 30) distribution if Method A is used and the N(74, 40) distribution if Method B is used. Let us call the mean DRP score for 100 students in the A group. Let us call the mean DRP score for 100 students in the B group ý.
Required:
What is the probability that the mean score for the B group will be at least five points higher than the mean score for the A group?
Answer:
0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution, the central limit theorem, and subtraction of normal variables:
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, 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.
Subtraction of normal variables:
When we subtract two normal variables, the mean is the subtraction of the mean of each variable, while the standard deviation is the square root of the sum of each variance.
Method A:
One student: N(75,30), so [tex]\mu = 75, \sigma = 30[/tex]
Samples of 100 students: [tex]n = 100, s = \frac{30}{\sqrt{100}} = 0.3[/tex]
Method B:
One student: N(74,40), so [tex]\mu = 74, \sigma = 40[/tex]
Samples of 100 students: [tex]n = 100, s = \frac{40}{\sqrt{100}} = 0.4[/tex]
What is the probability that the mean score for the B group will be at least five points higher than the mean score for the A group?
This is the probability that B - A >= 5. So
[tex]\mu_{B-A} = \mu_B - \mu_A = 74 - 75 = -1[/tex]
[tex]s_{B-A} = \sqrt{s_A^{2}+S_B^{2}} = \sqrt{(0.3)^2+(0.4)^2} = 0.5[/tex]
We have to find 1 subtracted by the pvalue of Z when X = 5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{5 - (-1)}{0.5}[/tex]
[tex]Z = 12[/tex]
[tex]Z = 12[/tex] has a pvalue of 1
1 - 1 = 0, so
0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group
1/4 divided by 3 1/2
Answer:
1/14
Step-by-step explanation:
dont really know how to explain... just make sure to change both to a common denominator
Answer:
1/14
Step-by-step explanation:
Jana paid an initial fee of $75 to join a fitness gym. She pays $15 per month for her membership. How many months did she have the membership if she spent a total of $255.
asap ill give brainlyist
Answer:
12 months
Step-by-step explanation:
Set up a formula; 75 + 15x = 255
Now, solve for x, which is number of months.
subtract 75 from both sides.
15x = 180
divide both sides by 15.
x = 12
x is equal to 12 - she would have had to have the subscription for 12 months to spend 255$.
What is the equation?
Answer:
y - 4 = (1/3)(x - 9) or x - 3y = -3
Step-by-step explanation:
Here we're told that the slope is 1/3 and that (9, 4) is a point on the line. Use the point-slope formula y - k = m(x - h). Substitute 4 for k, 9 for h and 1/3 for m:
y - 4 = (1/3)(x - 9) (point-slope formula)
3y - 12 = x - 9 (standard form of the same equation) = >
-12 + 9 = x - 3y, or x - 3y = -3 (standard form)
Graph x < or = to -4.5 on the number line
HELP ME PLS ASAP PLS PLZ PLS HELP
Answer:
it would be a closed circle and to the right
Step-by-step explanation:
I have a little tip whenever the greater or less than sign is underlined it will always be closed, and when x is greater than -4.5 all the numbers that are greater than -4.5 will be on the right side so that will be your answer.
A 40-foot ladder is used to reach the top of a 24-foot wall. If the ladder extends 10 feet past the top of the wall, find the
measure of the angle that the ladder forms with the horizontal ground. Answer to the nearest degree
Answer:
53
Step-by-step explanation:
24+30= 54 which is about 53, so the answer would be 53.
Answer:
53
Step-by-step explanation:
The sin of a = opposite over hypotenuse.
sin(a)=24/30
sin(a)=0.8
a=The inverse sin of 0.8
a=53.13
please help! (URGENT)
Answer:
X = 5
Step-by-step explanation:
why do i suck at math
the world may never know
Answer:
Yeah, what the dude above me said.
Step-by-step explanation:
Identify the key features of these functions:
f(x) = 3(x + 5)2 − 10
g(x) = 200(0.95)x
h(x) = -0.25(x + 3)(x − 1)
The vertex of f(x) is at
. The function g(x) is decreasing at a rate of
%. The zeros of h(x) are at
and
.
Answer:
The vertex of f(x) is at (-5,-10).
The function g(x) is decreasing at a rate of 5%.
The zeros of h(x) are at x = -3 and x = 1.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]
Decaying exponential function:
A decaying exponential function has the following format:
[tex]A(x) = A(0)(1-r)^{x}[/tex]
In which A(0) is the initial quantity and r is the decay rate.
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Vertex of f:
The function f is given by:
[tex]3(x+5)^2 - 10[/tex]
Expanding the calculations to place at the correct format:
[tex]3(x+5)^2 - 10 = 3(x^2 + 10x + 25) - 10 = 3x^2 + 30x + 75 - 10 = 3x^2 + 30x + 65[/tex]
Which means that
[tex]a = 3, b = 30, c = 65[/tex]
The x-value of the vertex is:
[tex]x_{v} = -\frac{30}{2*3} = -5[/tex]
The y-value of the vertex is:
[tex]f(-5) = 3(-5+5)^2 - 10 = -10[/tex]
The vertex of f(x) is at (-5,-10).
Decreasing rate of g(x).
We have that:
1 - r = 0.95
So
r = 1 - 0.95 = 0.05
Which means that the decreasing rate is of 5%.
The zeros of h(x) are
The zeros are
x + 3 = 0 -> x = -3
x - 1 = 0 -> x = 1
So
The zeros of h(x) are at x = -3 and x = 1.
If 4 points are Collinear, they are also coplanar
Answer:
that is true
Step-by-step explanation:
Can someone please help me with this spinner problem it contains 4 questions? I’m having a hard time on this! :(
Answer:
a) P(odd) = 1/2
b) P(multiple of 3) = 1/4
c) P(not 5, 6, 7) = 5/8
d) P(n < 4) = 3/8
Step-by-step explanation:
a) half of the numbers on the spinner are odd
b) there are 2 multiples of 3 (3 and 6)
c) not 5,6,7 means P(1,2,3,4,8) which is 5/8
d) P(n < 4) = P(1,2,3) = 3/8
[tex]2 \sqrt{2} [/tex]
-2 (1/3x - 1/5) please answer ASAP I have to turn this in in 30 min!!
Answer:
1/3 + 1/5 them you solve -2
Step-by-step explanation:
Answer:
-2/3x+2/5
Step-by-step explanation:
Open up parentheses
-2 x 1/3x= -2/3x
-2 x 1/5= 2/5
A tank containing 1140.8 gallons can be emptied in 92 minutes. How many gallons is that per minute?
Answer:
Divide the volume of the tank (10,000 gallons) by the filling rate of 250 gallons/minute and you will Hours = hr x min x 3785 ml x 55 gal = 208175 = 115.6 hrs.
Step-by-step explanation:
hope it helps
Which statements for 63.372 are true? Check all that are true. The digit 2 is in the thousandths place. The digit 7 is in the hundredths place. The digit 7 is in the thousandths place. The digit 3 is in the tenths place. The digit 2 is in the tenths place. please help with this question
Answer:
sorry
Step-by-step explanation:
sana i review mo beh ng maayos..hehe wag puro tanong cge keep safe..
Solve the given equation for x.
6 + x = C
Answer:
x=c-6
Step-by-step explanation:
6+x=c
-6 -6
x=c-6
Solve the equation d- 1/4 = 3
Answer:
d = 13/4
Step-by-step explanation:
Answer:
d= 13/4 or 3.25
plz give brainliest
Step-by-step explanation:
words every 20 minutes, whilo Becky's rate is represented by the graph below. Who types at a faster rate , Armav or Becky? PLEASE HELP I WILL MARK YoU BRAINALIST!!!!
Answer:
The anwser is 1340
Step-by-step explanation:
divide 335 by 5 then multipilyby 20
In AGHI, GI is extended through point I to point J, mZGHI = (2x - 3)º,
mZIGH = (2x + 15)°, and m_HIJ = (7x – 18)'. Find mZGHI.
Answer:
m<GHI = 17°
Step-by-step explanation:
m<GHI = (2x - 3)°
m<IGH = (2x + 15)°
m<HIJ = (7x - 18)°
<HIJ is an exterior angle of ∆GHI
<GHI and <HIJ are both interior angles of ∆GHI that are opposite to the exterior angle.
Therefore, based on the exterior angle theorem of a triangle, we would have the following equation:
m<GHI + m<IGH = m<HIJ
(2x - 3)° + (2x + 15)° = (7x - 18)° (substitution)
Solve for x
2x - 3 + 2x + 15 = 7x - 18
Add like terms
4x + 12 = 7x - 18
4x - 7x = -12 - 18
-3x = -30
Divide both sides by -3
x = 10
✔️m<GHI = (2x - 3)°
Plug in the value of x
m<GHI = 2(10) - 3 = 20 - 3
m<GHI = 17°
Find the mean, median, mode, and range for each set of data 21.5, 35.5, 49.5, 16.3, 35.5
Answer:
Mean :31.66
Median:35.5
Mode:35.5
Step-by-step explanation:
(hope this helps can i plz have brainlist :D hehe)
You can rent a car for $45 per day plus $0.75 per mile. (This includes taxes.) If you have $120 to spend, find the number of miles you can drive.
baa baa the black sheep had 7 pounds of wool if he separated the wool equally into 3 bags how much wool would be in 2bags
Answer:
4 pounds and 2/3 of a pound
each bag would contain 2 pounds and 1/3 of a pound so two pounds would be two times that so 4 pounds and 2/3 of a pound is the answer.
i.dk if this is what u needed but good luck
hope this helped
Just give me 10 random dividing fraction equations with the answer will give brainliest!!
Answer:
Step-by-step explanation:
I NEED HELP PLZZZ!!!!!!
Answer:
No the pay rates are not equivalent.
Step-by-step explanation:
Your pay rate per 8 hours is $56.
Your friends pay rate per 8 hours is $72.
Cesar is 53 5/6 inches tall. Karina is 1 1/3 inches taller than Cesar and Jane is 1 1/4 inches taller than Karina. How tall is Jane?
Answer:
56 5/12 inches tall
Step-by-step explanation:
add karina and Janes inches together than add Cesar and then theres the height