Hey there! I'm happy to help!
The words at most means that there is a maximum point that is included as a probability. This means that we will use the less than or equal sign (≤) in our inequality.
Let's write this all out as an inequality now. We will use i to represent how much the baby ate.
1,800≤2i+250
This inequality shows that Alexandria's 1,800 calories is at most 250 more than twice those of her baby sister. Therefore, the correct option is A. 1,800≤250+2i .
Have a wonderful day!
Answer:
The correct option is A. 1,800≤250+2i.
HELP number 12 pls i do nor have long more
Answer:
Dian has $250 originally.
Step-by-step explanation:
Let the total money Dian has originally = $S
Dian gave [tex]\frac{2}{5}[/tex] of her total money to Justin,
Money given to Justin = [tex]\frac{2}{5}(\text{S})[/tex]
Money left with Dian = S - [tex]\frac{2}{5}(\text{S})[/tex]
= [tex]\frac{\text{5S-2S}}{5}[/tex]
= [tex]\frac{3S}{5}[/tex]
Since Dian has $150 left then the equation will be,
[tex]\frac{3S}{5}=150[/tex]
S = [tex]\frac{150\times 5}{3}[/tex]
S = $250
Therefore, Dian has $250 originally.
A psychologist is studying the effects of lack of sleep on the performance of various perceptual-motor tasks. After a given period of sleep deprivation, a measurement of reaction time to an auditory stimulus was taken for each of 36 adult male subjects.The mean and standard deviation of the reaction times (in seconds) for the fifty adult male subjects were 1.82 seconds and 0.28 seconds respectively. Previous psychological studies have shown that the true mean reaction time for non-sleep-deprived male subjects is 1.70 seconds. Does the sample evidence indicate that the mean reaction time for sleep-deprived adult males is longer than that of non-sleep-deprived adult males.
A. H0:μ=1.82;Ha:μ<1.82
B. H0:μ=1.70;Ha:μ<1.70
C. H0:μ=1.82;Ha:μ>1.82
D. H0:μ=1.70;Ha:μ>1.70
E. None of the above
Answer:
D. [tex]H_{0}[/tex] : μ = 1.70, [tex]H_{a}[/tex] : μ > 1.70
Step-by-step explanation:
The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis
The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. It is not necessary that all null hypothesis will be rejected at 10% level of significance. To determine the criteria for accepting or rejecting a null hypothesis we should also consider p-value.
What is the area of this triangle on a Coordinate Grid?
Triangle IJK, with vertices I(3,-7), J(7,-4), and K(4,-2), is drawn inside a rectangle
Answer: 8.5 sq. units.
Step-by-step explanation:
Formula:
Area of triangle : [tex]\dfrac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|[/tex]
Given: Triangle IJK, with vertices I(3,-7), J(7,-4), and K(4,-2)
Then, Area of triangle IJK = [tex]\dfrac{1}{2}|3(-4-(-2))+7(-2-(-7))+4(-7-(-4))|[/tex]
[tex]\dfrac{1}{2}|3(-2)+7(5)+4(-3)|\\\\=\dfrac{1}{2}|-6+35-12|\\\\=\dfrac{1}{2}(17)\\\\=8.5\text{ sq. units}[/tex]
Hence, the area of this triangle IJK on a Coordinate Grid = 8.5 sq. units.
What equation results from completing the square and then factoring? x^2+22x=31 A.(x+22)^2=53 B.(x+22)^2=152 C.(x+11)^2=152 D.(x+11)^2=53
Answer:
[tex]\boxed{\mathrm{Option \ C}}[/tex]
Step-by-step explanation:
=> [tex]x^2+22x = 31[/tex]
=> [tex](x)^2+2(x)(11) = 31[/tex]
Since b = 11 , So [tex](11)^2[/tex] needs to be added to both sides
Adding [tex](11)^2[/tex] to both sides
=> [tex](x)^2+2(x)(11)+(11)^2 = 31+(11)^2[/tex]
Completing the square
=> [tex](x+11)^2 = 31+121[/tex]
=> [tex](x+11)^2 = 152[/tex]
PLEASE HELP
Divide. Write your answer using the smallest numbers possible. 47 pounds 13 ounces divided by 15 = ___pounds ___ounces
Answer:
3 pounds
51 ounces
Step-by-step explanation:
What is the answer? I'm stuck
Answer:
[tex]g(2)=1[/tex]
Step-by-step explanation:
So first, we know that:
[tex]f(1)=g(1)+1[/tex]
And:
[tex]f(2)=2[/tex]
This means that instead of 1, if we put two in like so:
[tex]f(2)=g(2)+1[/tex]
Then we can substitute the f(2):
[tex]2=g(2)+1\\g(2)=1[/tex]
Therefore, g(2)=1.
PLEASE HELP
A: 3.72
B: 15.75
C: 10.6
Answer:
3.716 m²
Step-by-step explanation:
10⁻² = 0.01, so 9.29 x 0.01 = 0.0929
multiple 0.0929 by 40 to get 3.716 m²
If there are 736 students in a school, prove that at least three students have a birthday on the same day of the year.
Step-by-step explanation:
736 / 365 = 2R6
So even if the first 365 students all have different birthdays, and the next 365 students also all have different birthdays, then there are 2 students for every birthday. The last 6 students therefore share a birthday with at least 2 other students. So there are at least 3 students who share a birthday.
Yes, we can prove that at least three students have a birthday on the same day of the year.
What is algebra?
Algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas.
We have,
Total number of students = 736
So,
In a year there are 365 days.
And we have 736 students,
So,
Two students have birthday on same day = 365 × 2 = 730
NOw,
Students left = 736 - 730 = 6
So,
These 6 Students share birthday with othe 6 Students .
So, yes there are at least three students who have a birthday on the same day of the year
To learn more about algebra click here,
https://brainly.com/question/953809
#SPJ2
Determine the convergence or divergence of the sequence with the given nth term. If the sequence converges, find its limit. (If the quantity diverges, enter DIVERGES.) an = (n − 2)! n!
Answer: Diverging
Step-by-step explanation:
Find explanations in the attached file
Find the midpoint of the segment between the points (17,−11) and (−14,−16)
Answer:
(1.5, -13.5)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Simply plug in our coordinates into the formula:
x = (17 - 14)/2
x = 3/2
y = (-11 - 16)/2
y = -27/2
Answer:
(-1.5, -13.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates and divide by 2
( 17+-14)/2 = 3/2 =1.5
To find the y coordinate of the midpoint, add the x coordinates and divide by 2
( -11+-16)/2 = -27/2= - 13.5
do following division with polynomials
1) (x^3-2x^2+3x-3)÷(x+2)
El precio de costo de “x” artículos es 60x + 4 000, además el precio de venta de los mismos es 80x. Determinar la cantidad de artículos que deben venderse si se quiere lograr una ganancia de S/. 12 000
Answer:
800 artículos.
Step-by-step explanation:
Sea x = la cantidad de artículos vendidos
De la pregunta,
Precio de costo = 60 x + 4000
Venta (precio de venta) = 80x
También nos dieron ganancias como S12000
Para determinar la ganancia
Precio de venta: precio de costo = beneficio (cuando el precio de venta es más alto que el precio de costo)
Por lo tanto,
12,000 = 80x - (60x + 4000)
12,000 = 80x - 60x - 4000
Recolectando términos similares
12,000 + 4,000 = 80x - 60x
16,000 = 20x
x = 16,000 / 20
x = 800
Por lo tanto, la cantidad de artículos que se venderán si desea obtener una ganancia de S12,000 es de 800 artículos.
Help all mathematicians!
Answer: Choice D
Maximums = (0,1) and (2pi, 1)
minimum = (pi, -3)
======================================================
Explanation:
Cosine is a periodic function that bounces up and down forever. The highest y = cos(x) gets is y = 1 and that happens when x = 0, 2pi, etc. Basically anything in the form x = 2pi*n for any integer n will have y = cos(x) maxed out. Consequently, this means y = 2cos(x)-1 maxes out at the same mentioned x values.
Plug in those x values to find that y = 1 is the max y value for y = 2cos(x)-1
A similar situation happens for the mins as well. We have y = cos(x) be the smallest when x = pi+2pi*n for any integer n.
Could someone please help. The given sides are 25 at the left, 35 at bottoms, 5 at the right. Thank you :)
Answer:
120 cm
Step-by-step explanation:
If you rearrange the lines you will get a rectangle whose sides are 25 cm and 35 cm.
To get a triangle, move the lines inside the rectangle keeping them parallel to the lines in front of them.
Let P the perimeter of the rectangle:
P = 25*2 + 35*2 = 50+70 = 120 cm
a scale drawing of a rectangular playground has a length of 20 inches and a width of 10 inches as shown below. the scale is 1 inch = 4 feet. what is the area of the actual playground? *
Answer:
3,200 ft²
Step-by-step explanation:
first you want to convert the sides from inches to feet so 20* 4= 80, and 10* 4= 40 then you multiply the sides to get the area which is 80*40= 3,200 ft²
Verify by direct substitution that the given power series is a solution of the indicated differential equation. [Hint: For a power x2n + 1 let k = n + 1.] y = (-1) nx2n, (1 + x2)y' + 2xy = 0
Answer:
The given power series [tex]y =\sum^{\infty}_{n=0} {(-1)^n x^{2n}}[/tex] is a solution of the differential equation (1+x^2)y' + 2xy = 0
Step-by-step explanation:
This is a very trivial exercise, follow the steps below for the solution:
Step 1: Since n = 0, 1, 2, 3, 4, ........, Substitute the values of n into equation (1) below.
[tex]y =\sum^{\infty}_{n=0} {(-1)^n x^{2n}}[/tex].....................(1)
[tex]y = 1 - x^2 + x^4 - x^6 + x^8.........[/tex]
Step 2: Find the derivative of y, i.e. y'
[tex]y' = -2x + 4x^3 - 6x^5 + 8x^7 .............[/tex]
Step 3: Substitute y and y' into equation (2) below:
[tex](1+x^2)y' + 2xy = 0\\\\(1+x^2)(-2x + 4x^3 - 6x^5 + 8x^7......) + 2x(1 - x^2 + x^4 - x^6 + x^8.......) = 0\\\\-2x+ 4x^3 - 6x^5 + 8x^7........ - 2x^3 +4x^5 - 6x^7 + 8x^9 ......+ 2x - 2x^3 + 2x^5 - 2x^7 + 2x^9...... = 0\\\\0 = 0[/tex]
(Verified)
Since the LHS = RHS = 0, the given power series [tex]y =\sum^{\infty}_{n=0} {(-1)^n x^{2n}}[/tex] is a solution of the differential equation (1+x^2)y' + 2xy = 0
What percentage of babies born in the United States are classified as having a low birthweight (<2500g)? explain how you got your answer?
Answer:
2.28% of babies born in the United States having a low birth weight.
Step-by-step explanation:
The complete question is: In the United States, birth weights of newborn babies are approximately normally distributed with a mean of μ = 3,500 g and a standard deviation of σ = 500 g. What percent of babies born in the United States are classified as having a low birth weight (< 2,500 g)? Explain how you got your answer.
We are given that in the United States, birth weights of newborn babies are approximately normally distributed with a mean of μ = 3,500 g and a standard deviation of σ = 500 g.
Let X = birth weights of newborn babies
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean = 3,500 g
[tex]\sigma[/tex] = standard deviation = 500 g
So, X ~ N([tex]\mu=3500, \sigma^{2} = 500[/tex])
Now, the percent of babies born in the United States having a low birth weight is given by = P(X < 2500 mg)
P(X < 2500 mg) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{2500-3500}{500}[/tex] ) = P(Z < -2) = 1 - P(Z [tex]\leq[/tex] 2)
= 1 - 0.97725 = 0.02275 or 2.28%
The above probability is calculated by looking at the value of x = 2 in the z table which has an area of 0.97725.
Answer:
The z-score for 2,500 is -2. According to the empirical rule, 95% of babies have a birth weight of between 2,500 g and 4,500 g. 5% of babies have a birth weight of less than 2,500 g or greater than 4,500 g. Normal distributions are symmetric, so 2.5% of babies weigh less than 2,500 g.
Step-by-step explanation:
did the assignment on edge:)
If we assume that asset X has an expected return of 10 and a variance of 10, then its coefficient of variation is:
Answer: Its coefficient of variation = 0.316
Step-by-step explanation:
The formula to find the coefficient of variations:
Coefficient of variation: [tex](\dfrac{\sqrt{\text{variance}}}{\text{return}})[/tex]
Given: Asset X has
Variance = 10
Expected return = 10
then, coefficient of variation [tex]=\dfrac{\sqrt{10}}{10}=\dfrac{1}{\sqrt{10}}\approx0.316[/tex]
Hence, its coefficient of variation = 0.316
Please show step by step of working out the value of r for which is A minimum and calculate the minimum surface area of the container.
The total surface area, Acm^2, of each container is modelled by function A= πr^2+100/r.
(remember to use the derivative to show you have found the minimum)
Answer:
A = 59.63cm^2
Step-by-step explanation:
You have the following function for the surface area of the container:
[tex]A=\pi r^2+\frac{100}{r}[/tex] (1)
where r is the radius of the cross sectional area of the container.
In order to find the minimum surface are you first calculate the derivative of A respect to r, to find the value of r that makes the surface area a minimum.
[tex]\frac{dA}{dr}=\frac{d}{dr}[\pi r^2+\frac{100}{r}]\\\\\frac{dA}{dr}=2\pi r-\frac{100}{r^2}[/tex] (2)
Next, you equal the expression (2) to zero and solve for r:
[tex]2\pi r-\frac{100}{r^2}=0\\\\2\pi r=\frac{100}{r^2}\\\\r^3=\frac{50}{\pi}\\\\r=(\frac{50}{\pi})^{1/3}[/tex]
Finally, you replace the previous result in the equation (1):
[tex]A=\pi (\frac{50}{\pi})^{2/3}+\frac{100}{(\frac{50}{\pi})^{1/3}}}[/tex]
[tex]A=59.63[/tex]
The minimum total surface area is 59.63cm^2
Find the next two !!!
It's adding 3 and subtracting 2 every time.
This means the next two terms would be +3 and -2 since the last one was -2.
The next term = 4+3=7
The next next term = 7-2=5
Answer:
Answer : 7 , 5Please see the attached picture.
Hope it helps...
Best regards!!
6th grade math help me, please. :)
Answer: 120 ice creams total
The answer is option D
What formula could you use to help find the area of the given triangle?
Answer:
Since it is a right triangle, you can use pythagorean theorem to find the missing side.
Step-by-step explanation:
what is 1.8÷0.004? using long division
Answer:
Hi! Answer will be below.
Step-by-step explanation:
The answer is 450.
If you divide 1.8 and 0.004 the answer you should get is 450.
Below I attached a picture of how to do long division...the picture is an example.
Hope this helps!:)
⭐️Have a wonderful day!⭐️
WILL MARK BRAINLIST----- A particular map shows a scale of 1 cm:5 km. What would the map distance be (in cm) if the actual distance to be represented is 14 km?
Answer:
2.8 cm
Step-by-step explanation:
The map scale is 1 cm : 5 km. That means that 1 cm is equal to 5 km.
To find the map distance (in cm), we have to set up a ratio.
[tex]\frac{1 cm}{5 km} = \frac{x}{14 km}[/tex]
X (the map distance in cm) is over the actual distance of 14 km.
Now cross multiply and divide.
[tex]5x = 14[/tex]
[tex]\frac{5x}{5} = \frac{14}{5}[/tex]
[tex]x = 2.8 cm[/tex]
If the actual distance to be represented is 14 km, the map distance (in cm) will be 2.8 cm.
Hope that helps.
of the 1248 students enrolled 24% did not like the new mascot design. what is the mean of this binomial distribution
A. 299.5
B. 948.5
C. 17.3
D. 300.3
Answer: A. 299.5
Step-by-step explanation:
1248 · 24%
1248 · 0.24=299.50
Solve by factoring or find square root. x^2-3x-4=0
Answer:
x = -1 and x = 4.
Step-by-step explanation:
x^2 - 3x - 4 = 0
(x - 4)(x + 1) = 0
x - 4 = 0
x = 4
x + 1 = 0
x = -1
Check your work...
(4)^2 - 3(4) - 4
= 16 - 12 - 4
= 4 - 4
= 0
(-1)^2 - 3(-1) - 4
= 1 + 3 - 4
= 4 - 4
= 0
So, x = -1 and x = 4.
Hope this helps!
What is the vertex of the graph of g(x) = |x – 8| + 6?
Answer:
(8,6)Step-by-step explanation:
g(x) = |x – 8| + 6 was transformed from the parent function g(x) = |x|:
8 unit right
6 units up
a parent absolute value function has a vertex at (0,0)
if the function is moved so is the vertex:
(0+8,0+6)
(8,6)
So, the vertex of this function is at (8,6)
Answer: vertex = (8, 6)
Step-by-step explanation:
The Vertex form of an absolute value function is: y = a|x - h| + k where
a is the vertical stretch(h, k) is the vertexg(x) = |x - 8| + 6 is already in vertex form where
h = 8 and k = 6
so the vertex (h, k) = (8, 6)
the answer choices are
sec y= b/6
sec y=6a
sec y=6b
sec y= 6/b
Answer:
sec y=6/b yw
Step-by-step explanation:
Find connection between Fibonacci numbers and the aspects of Engineering???????????????
if u answer i will mark u as brainliest
Answer:
Fibonacci numbers is a series of numbers in which each number is sum of two preceding numbers.
Step-by-step explanation:
It is a sequence in mathematics denoted F. Fibonacci numbers have important contribution to western mathematics. The first two Fibonacci numbers are 0 and 1, all the numbers are then sum of previous two numbers. Fibonacci sequence is widely used in engineering applications for data algorithms. Fibonacci sequence is basis for golden ratio which is used in architecture and design. It can be seen in petals of flower and snail's shell.
Which sequence of transformations on preimage Triangle ABC will NOT produce the image A’B’C’
Answer:
b
Step-by-step explanation:
