Answer:
0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
A particular employee arrives at work sometime between 8:00 a.m. and 8:30 a.m.
We can consider 8 am = 0, and 8:30 am = 30, so [tex]a = 0, b = 30[/tex]
Find the probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.
Between 15 and 25, so:
[tex]P(15 \leq X \leq 25) = \frac{25 - 15}{30 - 0} = 0.3333[/tex]
0.3333 = 33.33% probability that the employee will arrive between 8:15 a.m. and 8:25 a.m.
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
please help! (URGENT)
Answer:
X = 5
Step-by-step explanation:
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
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 $255.
asap ill give brainlyist
Answer:
12 months
Step-by-step explanation:
Set up a formula; 75 + 15x = 255
Now, solve for x, which is number of months.
subtract 75 from both sides.
15x = 180
divide both sides by 15.
x = 12
x is equal to 12 - she would have had to have the subscription for 12 months to spend 255$.
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
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:
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.
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
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..
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
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.
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)
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
-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
kaylie swims 1500m every monday,,wednesday, friday, and saturday. Sunday, she swims 1800m. how much km does she swim each week?
Answer:
If she swims everyday but tuesday and sunday she would had swim 6000m a week But if you going to count sunday she swims, 7800m a week.
Step-by-step explanation:
Start off with 1500m.
Since it's monday, wednesday, friday and saturday it would be
1500x4
Which equals 6000. If you want to add sunday into it just take the 6000 and add 1800 and you will get
7800.
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°.
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
why do i suck at math
the world may never know
Answer:
Yeah, what the dude above me said.
Step-by-step explanation:
Amy is x years old. Jennifer is 5 years older than Amy. Their father is 4 times as old as Jennifer. Write an expression to represent the fathers age. Then write an expression to represent the sum of their ages. Make sure your final expresson is simplifed.
Answer:
Refer to explanation below^
Step-by-step explanation:
Amy = x
Jennifer = x + 5
Father = x + 5 x 4 = 4x + 5
Total = 4x + 5 + x + 5 + x = 6x + 10
Explain why the equations X - 13 = 4 and 13 - X = 4 do NOT have the same solution.
Answer:
they have different answers
Step-by-step explanation:
X - 13 = 4 and 13 - X = 4
for x- 13 = 4
x=4+13=17
x=17
for 13 - x = 4
13-4-x=0
9-x=0
9=x
x=9
Zayden has been saving his earnings from mowing the neighborhood lawns. He has 50 dollars and wants
to spend it all on baseball cards.
If each baseball card costs 8 dollars, how many can Zayden buy?
Answer:
6 cards
Step-by-step explanation:
8 × 6 = 48
You can't have 1/4 of a baseball card. So the answer is 6 cards.
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)
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
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:
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.
Just give me 10 random dividing fraction equations with the answer will give brainliest!!
Answer:
Step-by-step explanation:
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
[tex]2 \sqrt{2} [/tex]
If 4 points are Collinear, they are also coplanar
Answer:
that is true
Step-by-step explanation:
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.