The probability distribution of the number of customers that enter the store on a given day is described as follows:
Poisson with a mean of 70 customers.
What is the Poisson distribution?In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number.[tex]\mu[/tex] is the mean in the given interval or range of values of the input parameter.A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:
8 customers from 8 am to 10 am.16 customers from 10 am to 12 pm.18 customers from 12 pm to 2 pm. (the average over the interval is of 9 an hour).28 customers from 2 pm to 5 pm.Hence the mean is of:
8 + 16 + 18 + 28 = 70 customers.
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Evaluate the expression for the given values.2W+2L; W=3 and L=11
Answer:
28
Step-by-step explanation:
W = 3; L = 11
2W + 2L = 2(3) + 2(11) = 6 + 22 = 28
Answer:
28
Step-by-step explanation:
2(3)+2(11)
6+22
28
Hopes this helps please mark beainliest
Solve y = x³ for x if y = - 1000.
Answer: x = - 10
Step-by-step explanation:
We will use the equation given, substitute -1,000 in for y, and solve.
y = x³
(1,000) = x³
[tex]\sqrt[3]{ (1,000)} = \sqrt[3]{x^3}[/tex]
- 10 = x
x = - 10
Classify 8x^3+32x^2+x+4.......
Answer:
(x+4)( 8x^{2}+1)
Step-by-step explanation:
:)
Under which of the following conditions is it preferable to use stratified random sampling rather than simple random sampling? The population can be divided into strata of equal sizes so that each individual in the population still has the same chance of being selected The population can be divided into a small number of strata so that each stratum contains a large number of individuals. The population can be divided into a large number of strata so that each stratum contains on ly a few individuals. O The population can be divided into homogeneous groups and thena random sample collected from each strata. The population can be divided into heterogeneous groups and then a random sample of strata are collected.
The condition that is it preferable to use stratified random sampling rather than simple random sampling is C. The population can be divided into a large number of strata so that each stratum contains only a few individuals
What is a stratified sampling?Stratified sampling is a method of sampling from a population that can be divided into subpopulations in statistics. When sampling subpopulations within an overall population in statistical surveys, it may be advantageous to sample each subpopulation independently.
Stratified random sampling is a sampling method that divides a population into smaller subgroups known as strata. Strata are formed in stratified random sampling, or stratification, based on members' shared attributes or characteristics, such as income or educational attainment.
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1/3x+ 1/3y=–9/5
in standard form
helpp
an image shows a right triangle with a circle cut out of it. the legs that make up the right triangle are both 90meters. the diameter of the circle cut out is 40 meters. all of the triangle is shaded, except where the circle is cut out
Answer:
2794 m^2
Step-by-step explanation:
Area of Triangle - Area of Circle
1/2bh - piR^2
4050 - 1256
= 2794
Which expressions are equivalent to (18^5)^3/8?
Select all that apply.
Answer:
It is a little hard to read. I cannot read the last choice,. but the two above it are correct
Step-by-step explanation:
When you raise an exponent to an exponent, you multiply the exponents
[tex]18^{\frac{15}{8} }[/tex]
[tex]18^{5x\frac{3}{8} }[/tex]
Express535cm in meters
Answer:
5.35
Step-by-step explanation:
Answer:
5.35 meters
Step-by-step explanation:
To find the answer, you divide the length value by 100
Obtain a 98% confidence interval estimating the difference (actual minus sham) in mean shoulder condition score one year after such interventions in the population of patients with persistent shoulder pain. When expressed in the format (lower bound, upper bound), give the numerical values rounded to 1 decimal place (for ex. 1.1, no text).
Enter the margin of error for this confidence interval as a numerical value rounded to one decimal places (for ex. 1.1, no letters or text):
The 98% confidence interval estimating the difference in mean shoulder condition score one year after such interventions in the population of patients with persistent shoulder pain is given by:
(-2.5, 5.1).
What are the mean and the standard error for the distribution of differences?For each sample, the mean and the standard error are given as follows:
Actual: [tex]\mu_A = 39.4, s_A = 1.1[/tex]Sham: [tex]\mu_B = 38.1, s_B = 1.2[/tex]Hence the mean and the standard error of the distribution of differences is given as follows:
Mean: [tex]\overline{x} = \mu_A - \mu_B = 39.4 - 38.1 = 1.3[/tex]Standard Error: [tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{1.1^2 + 1.2^2} = 1.6[/tex]What is the confidence interval?The bounds of the confidence interval are given by the rule presented as follows:
[tex]\overline{x} \pm ts[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 72 + 65 - 2 = 135 df, is t = 2.35.
Then the bounds of the interval are:
Lower bound: 1.3 - 2.35 x 1.6 = -2.5.Upper bound: 1.3 + 2.35 x 1.6 = 5.1.Missing InformationThe missing information is given by the image shown at the end of the answer.
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Help! My friend and I can't figure this out!
Answer:
if F = Gm^1(m^2)d^-2 is the formula for this question, the answer to question A. would be: G = 6.67 x 10^17 N KG^2/KM^2
Step-by-step explanation:
Brainliest Please?
Evaluate the expression 4w² + w-6, when w = -4
a.) 54
b.) 22
c.) -54
d.) 74
[tex] \huge \pink{ \underline \mathfrak{ \green{Answer}}} \: \\ \\ \: \: \rightarrow \fbox{ a). \blue{ \: 54 \: }}[/tex]
Step-by-step explanation:
[tex] \bf{Given} \: \colon 4w² + w-6, when \: \: w = -4 \\ \\ \tt \underline \red{Solution} \colon \\ \\ \rightarrow \: 4w {}^{2} + w \: - 6 \\ \\ \: put \: \: value \: \: of \: \: w \: \: in \: \: given \: \: equation \\ \\ \rightarrow \: 4( - 4) {}^{2} + \: (- 4 )\: - 6 \\ \\ \rightarrow \: 4(16) \: - 4 \: - 6 \\ \\ \rightarrow \: 64 \: - 10 \\ \\ \bf \rightarrow54[/tex]
Differentiate the function with respect to x. Shot steps
The value of function after differentiation will be;
⇒ dy/dx = 2 / (x log3)
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The function is,
⇒ y = log ₃ 2x²
Now,
Since, The function is,
⇒ y = log ₃ 2x²
Differentiate with respect to x, we get;
⇒ dy/dx = 1 / (2x² log3) × d/dx (2x²)
= 1 / (2x² log3) × 4x
= 2 / (x log3)
Thus, The value of function after differentiation will be;
⇒ dy/dx = 2 / (x log3)
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sofía needs 300 grams of flour to make 12 donuts if she wants 18 donuts, how many grams of flour will she need
Answer: 450
Step-by-step explanation:
300--12
x --18
[tex]x=300*18/12[/tex]
x=4350
which equation represents the relationship between the X values and Y values in the graph
The equation which represents the relationship between X values and Y values can be found by deriving the equation of line using slope intercept form. The equation of line is 3x - 5y = 25.
How to find equation of line using slope intercept form?
Equation of line using slope intercept form is y = mx + b
where m is slope of the line and b is y-intercept
The slope intercept can be used to form equation of line using two points on the line.
According to the given question:
The two points which lie on the line are (x, y) = (5, -2) and (x', y') = (0, -5)
Slope of the line m = y' - y/x' - x
= (-5 +2)/(0 - 5)
= 3/5
Now y intercept b = y - mx
= -2 - (3/5. 5)
= -5
Therefore the required equation of line is y = 3/5x - 5
On simplifying further 3x - 5y = 25
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Need help ASAP explanation would be appreciated
a)Perimeter of given right angle triangle is 48.
Perimeter of dilated right angle triangle is 192.
b) Area of given figure is 96cm²
Area of figure after dilation is 1536cm².
Define dilation.Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size.
Given,
Triangle given,
Base = 12
hypotenuse = 20
Leg = 16
Dimensions of new triangle after dilatated by scale factor of 4:
Base = 48
hypotenuse = 80
Leg = 64
Area of right angled triangle:
Base × Leg/2
Area of given figure:
12 × 16/2
12 × 8
96
Area of given figure is 96cm²
Area of figure after dilation:
48 × 64/2
24 × 64
1536
Area of figure after dilation is 1536cm².
Perimeter of right angle triangle:
Perimeter of given figure:
12 + 20 + 16
48
Perimeter of given right angle triangle is 48.
Perimeter of dilated figure:
48 + 80 + 64
192
Perimeter of dilated right angle triangle is 192.
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pls help pls ??????????????????????????????????????????????????????
The probability that a student is in the choir or band or both is 0.911
What is probability?Probability is the likelihood that an event will happen. This can range from an event being impossible to some likelihood to being absolutely certain. In math terms, probability is on a scale from 0 to 1. Zero means the event is impossible, like rolling a seven on a die that only has digits from 1 to 6. One is an event that will happen, it is certain.
Total number of students in the school = 450
number of students in choir = 110
number of students in band = 240
number of students in both = 60
Probability a student chosen at random is in the choir or band or both is
110/450 + 60/450 + 240/450
= 410/450 which is 0.911
In conclusion, the probability of a student being in music, or band or both is 0.911
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√196b^12 simplest form
The simplest form of the given expression, √196b^12, is 14b⁶
Simplifying an expression to its simplest formFrom the question, we are to simplify the given expression to its simplest form
The given expression is
√196b^12
The given expression can be written as ]
√196 × √b^12
14 × √b^12
From one of the laws of indices, we have that
√x^y = x^(y/2)
Thus, the expression becomes
14 × b^(12/2)
14 × b^6
14 × b⁶
14b⁶
Hence, the simplest form is 14b⁶
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Can someone help me with this
It takes 8 months for the investment to grow to $6000 if interest was compounded quarterly.
What is compound interest?
The interest charged on a loan as well as deposit is known as compound interest. It is the idea that we use the most frequently on a daily basis. Compound interest is calculated for an amount based on both the principal and cumulative interest. The main distinction between compound as well as simple interest is this.
Given:
Principal amount = $5000
Annual amount interest = 2.6%
Compounded quarterly = 4
Final amount = $7000
Formula:
A = P(1 + r)^4n - 1
A is the quarterly compounded interest.
P would be the principal amount.
r is the quarterly compounded rate of interest.
n is the number of periods.
Solving it:
7000 = 5000 (( 1 + 0.026))^ 4t -1
7/5 = (( 1 + 0.026))^ 4t
7/5 = (1.026)^ 4t -1
ln (7/5) = 4t ln (1.006) - ln 1
t = 7.61 months
t ~ 8months
Hence, it takes 8 months for the investment to grow to $6000 if interest was compounded quarterly.
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Which of the following sets of interior angle measures can form a triangle?
Select all that apply.
A. 45, 45, 45*
B. 60, 60, 60°
C. 40.50,90°
D. 30.60.90*
E. 90,90°, 45°
F. 90, 90, 90°
pleaseee helppp
As per the angle sum property, the interior angles that form the triangle is option
B. 60, 60, 60°
C. 40.50,90°
D. 30.60.90*
Angle sum property
Angle sum property states that the sum of all the interior angles of the triangle is equal to 180 degrees.
Given,
Here we have the list of interior angles
A. 45, 45, 45*
B. 60, 60, 60°
C. 40.50,90°
D. 30.60.90*
E. 90,90°, 45°
F. 90, 90, 90°
Now, we have to find in which for these angle will form the tringle.
As per the definition of the angle sum property, the sum of all the interior angle of the triangle is 180°.
Based on these we have to verify each of the given interior angles,
A) 45 + 45 + 45 = 135
B. 60 + 60 + 60 = 180
C. 40 + 50 + 90 = 180
D. 30 + 60 + 90 = 180
E. 90 + 90 + 45 = 225
F. 90 + 90 + 90 = 270
Therefore, based on these values we have identified that the options (B), (C), and (D) forms the triangle.
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Simplify each radical expression. ⁴√ (-5)⁴ . ³ √-5³ ⁵ √125 ⁶ √729
Each radical expression;
i)⁴√ (-5)⁴ ∛-5³ = 25
ii) ⁵√128 = 2 √2
iii) ⁶√729 = 3
If the following circumstances apply, a radical expression is said to be in standard form:
1. A positive radicand exists.
2. There is the least amount of radical index conceivable.
3. Each radicand factor's exponent is a natural integer lower than the radical index.
4. The radicand has no fractions.
5. A fraction's denominator has no radicals.
i)⁴√ (-5)⁴ ∛-5³
= -5 * -5
= 25
ii) ⁵√128
= ⁵√2 * 2 * 2 * 2 * 2 * 2
= 2 √2
iii) ⁶√729
= ⁶√3 * 3 * 3 * 3 * 3 * 3
= 3
Hence, the radical expressions are 25, 2 √2, 3.
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a.5+6+7....+95
b.5+7+9....+95
The sum of n terms of expression a is 4940 and b is 9405.
a.
5+6+7....+95
d = 6 - 5
d = 1
This expression is in arithmetic progression.
a = 5
n = 95
sum of n terms = n/2(2a+(n-1)d)
= 95/2(2*5+(95-1)1)
= 95/2(10+94)
= 95/2*104
= 95*52
= 4940.
b.
5+7+9....+95
d = 7 - 5
d = 2
This expression is in arithmetic progression.
a = 5
n = 95
sum of n terms = n/2(2a+(n-1)d)
= 95/2(2*5+(95-1)2)
= 95/2(10+94*2)
= 95/2*188+10
= 95/2*198
= 95*99
= 9405.
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Please help will mark Brainly
Answer:
The ordered pairs that are solutions for 3x - y = 1 would be:
A. (-2, -7)
B. (-1, -4)
D. (3, 8)
Explanation:
For A. (−2, −7); we have;
3(-2) − (-7) = 1
-6 + 7 = 1
1 = 1 ..... Solution
For B. (−1, -4); we have;
3(-1) − (-4) = 1
-3 + 4 = 1
1 = 1 ..... Solution
For C. (0, 1); we have;
3(0) − (1) = 1
0 - 1 = 1
-1 = 1 ..... No Solution
For D. (3, 8)
3(3) - (8) = 1
9 - 8 = 1
1 = 1..... Solution
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May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 12 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
please help me on on this question
∠(3x+7)° and ∠(10x- 22)° are the same side interior angles or supplementary angles thus x will be 15.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
As per the given angles,
∠(3x+7)° and ∠(10x- 22)° are supplementary angles.
∠(3x+7)° + ∠(10x- 22)° = 180°
3x + 10x + 7 - 22 = 180
13x = 180 +15
x = 15
Hence "∠(3x+7)° and ∠(10x- 22)° are the same side interior angles or supplementary angles thus x will be 15".
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need help to drag the dot on the graph as well
Answer:
(1,-1)
Step-by-step explanation:
since we know x=1
We just look at the x axis where it is 1 and drag the dot to wherever it is on the line
Solve the system of equations by the addition method.
Your answer would be C
the number of stories in each of the world’s 30 tallest buildings is listed below
a. Why would it be ineffective to display this data as an ungrouped frequency distribution
An ungrouped frequency distribution would be ineffective because there is a large number of stories, hence they should be grouped into ranges.
What is a frequency distribution?A frequency distribution gives the percentages/proportions of each outcome in a distribution.
These frequencies distributions are classified as follows:
Ungrouped: lone outcomes.Grouped: outcomes divided into intervals.The measures in this problem are given by the image at the end of the answer, and we can see that there is a small amount of repeating values, they are in interval ranges, hence an ungrouped frequency distribution would be ineffective.
Missing InformationThe list with the number of stories in the buildings is given by the image at the end of the answer.
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Andy's house is on a large lot. He got 200 yards of chain-link fence on sale. He wants to use all of the material to fence in an area in his backyard. He can only make the fenced area 60 feet wide and he wants it to be as long as possible. What is the longest length possible for the sides (note units of yards and feet)?
The longest the length can be is _____ feet.
X = The Length
The perimeter = 2 x 60+2 x = 300 ft
[tex]2x = 180[/tex]
[tex]x = 90[/tex]
[tex]60 x 90ft[/tex] or [tex]20 x 30 yds[/tex]
Differentiate the function wi respect to x. Shot steps
The differentiation of the given function will be y' = 2xy (log 2).
What is differentiation?The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The function is given below.
[tex]\rm y = 2^{x^2}[/tex]
Take log on both sides, then we have
log y = x² log 2
Differentiate the function with respect to 'x', then we have
(1/y) y' = (log 2) 2x
y' = 2xy (log 2)
The differentiation of the given function will be y' = 2xy (log 2).
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Simplify sin(u - pi) to a single trig function using a sum or difference of angels identity.
Answer:
- sinu
Step-by-step explanation:
using the difference identity for sine
sin(a - b) = sinacosb - cosasinb
then
sin(u - π )
= sinucosπ - cosusinπ
= sinu(- 1) - cosu(0)
= - sinu - 0
= - sinu
Yaritza needs to order some new supplies for the restaurant where she works. The restaurant needs at least 326 knives. There are currently 222 knives. If each set on sale contains 15 knives, what is the minimum number of sets of knives Yaritza should buy?
The maximum number of knives Yaritza needed 7
According to the question,
Number of knives Yaritza needed to order for restaurant at least 326 knives
Currently they have knives = 222 knives
One set of knife contain = 15 knives
The remaining amount of knives restaurant needed = 326 - 222
= 104 knives
The remaining amount of knives needed = 104 knives
If each set on sale contains 15 knives, the number of sets Isabella will need will be: 104 / 15
= 6.9333
This shows that maximum 7 set of knives Yaritza is needed to fulfill their demand for restaurant.
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