Ryanne is 14. Her brother's age is three more than half her age. How old is her brother?
OA 7
OB. 8.5
OC. 10
OD. 31
Question
Answer:
10 years old
Step-by-step explanation:
a restaurant is introducing a new gluten-free recipe for the topping in its baked zucchini recipe. the chef will continue to use this topping if less than 8% of her customers complain about the new taste. using a random sample of customers, she conducts a hypothesis test with h0: the complaint rate is 8%, and ha: the complaint rate is less than 8%. what is a type i error and its consequence in this context?
By hypothesis testing, The chef believes the complaint rate is less than 8%, when in fact it is not less than 8%. The chef continues to use the new recipe but experiences a large number of unsatisfied customers.
What does testing your hypotheses mean?
To make inferences about a population parameter or population probability distribution, a statistical process known as hypothesis testing analyzes data from a sample.
First, a hazy assumption about the parameter or distribution is made.
What is hypothesis testing, and how can it be used?
A statistician will test a hypothesis about a population parameter in a process known as hypothesis testing. The type of data used in the study and its purpose will determine the methodology the analyst uses.
The plausibility of a hypothesis is evaluated using sample data in a process known as hypothesis testing.
Learn more about hypothesis test
brainly.com/question/17099835
#SPJ4
an irs auditor randomly selects 3 tax returns from59returns of which7contain errors. what is the probabilitythat she selects none of those containing errors?
Therefore , the probability that she selects none of those containing errors is 0.6798.
What does probability really mean?Calculating how likely or "possible" it is for an event to occur is the subject of probability. Words like "definitely," "impossible," or "likely" may be used to communicate the likelihood that a particular event will occur. Mathematics always expresses probabilities as fractions, decimals, or percentages, with values ranging from 0 to 1.
Here,
Number of ways of selecting 3 returns out of 59 is C(59,3).
Out of 59 returns, 59-7 = 52 returns has no error so number of ways of selecting 3 returns out fo 52 is C(52,3).
The probability that she selects none of those containing errors is
P( No errors )=[tex]\frac{C(52,3)}{C(59,3)}[/tex]=0.6798
Therefore , the probability that she selects none of those containing errors is 0.6798.
To know more about probability , visit
brainly.com/question/11234923
#SPJ4
A 12-foot ladder is resting against a wall and makes an angle of 52 degrees with the ground. Find the height to which the ladder will reach the wall.
A 12-foot ladder is resting against a wall and makes an angle of 52 degrees with the ground, the height to which the ladder will reach the wall is 9.456 foot.
What is height?Height, altitude, and elevation all refer to the vertical distance between something's top and bottom or its base and something above it. Height is a term used to describe everything that may be measured vertically, high or low.
From the lowest to the highest point to the lowest point, it calculates the vertical distance. In general, it refers to a coordinate geometry object's measurement along the y-axis.
let, h = height of ladder
Given that,
length of ladder = 12 ft
angle with the ground = 52°
As we know,
sinθ = h/12
or, sin (52°) = h/12
or, 0.7880 = h/12
or, h = 9.456 foot.
the height to which the ladder will reach the wall 9.456 foot.
To know more about height refer to:
https://brainly.com/question/73194
#SPJ1
Miguel’s Skate Shop is having a sale on skateboards. The original price for its Extreme Skateboard is $84.50. The sale price for the skateboard is $50.70. What is the percent decrease in the price of the skateboard?
The required percent decrease in the price of the skateboard is 40%.
What is the percentage?
A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.
Here, we have
Original price = $84.50
sale price = $50.70
Percent decrease = 84.50-50.70/84.50 × 100 = 40%
Hence, the required percent decrease in the price of the skateboard is 40%.
To learn more about the percentage from the given link
https://brainly.com/question/24304697
#SPJ1
there are 97 men and 3 women in an organization. a simple random sample of 5 people is taken to form a committee. what is the probability that the committee includes all 3 women?
The probability that the committee includes all 3 women is 0.00018
In this question, we have been given there are 97 men and 3 women in an organization.
A simple random sample of 5 people is taken to form a committee.
We need to find the probability that the committee includes all 3 women.
Total number of people in the organization: 97 + 3 = 100
Usinng combination formula the possible number of 5 people committee:
100C5
= 100! / 5!(100 - 5)!
= 75287520
The number of outcomes for the committee includes all 3 women would be:
5C3 = (97C2)*3
= 13968
So, the probability that the committee includes all 3 women would be,
P = 13968 / 75287520
P = 0.00018
Therefore, the required probability is 0.00018
Learn more about the probability here:
https://brainly.com/question/11234923
#SPJ4
Solve for x
O4
O5
O-10
O12
Answer:
x = 5
Step-by-step explanation:
Firstly, we know that corresponding angles are the same. So we can say that 25x + 5 = 26x
Let’s simplify this equation:
25x + 5 =26x
-25x -25x
5 = x
Therefore, x = 5.
if two cities lie on different tectonic plates, and those plates are moving so that the cities are approaching each other, how many years will it take for the two cities to be situated adjacent to each other? los angeles is 630 km south of san francisco. the plate under los angeles is moving north about 36 mm per year relative to the plate under san francisco. given this average rate of plate movement, how long will it take for los angeles to be located next to san francisco? show your work.
It will take about 18 million years for Los Angles to be located next to san Francisco.
The distance traveled is 630km (380 miles), and the net distance moves is 36mm per year.
We can use this formula to determine the answer :
Time = distance/rate
630 km = 630,000 m = 630, 000,000 mm
Time = 630,000,000 mm/ 36mm/year = 17,500,000 year
We could also put these dimensional relationship together as follows and then cancel units that occur in both the numerator and the denominator .
We are left with an answer in number of years:
630 km × [tex]\frac{1000m}{1km 1m}[/tex] × [tex]\frac{1000mm 1 year}{36mm}[/tex] = 17,500,000 year
Hence, It will take about 18 million years for Los Angles to be located next to san Francisco.
Learn more about Distance at:
https://brainly.com/question/27446823
#SPJ4
4. Find the lengths of the sides of a triangle with vertices: (0, 0), (5, 0), (5, 12). (1 point)
O5, 12, 12
O5, 5, 12
O5, 12, 5
O5, 12, 13
The lengths of the sides of the triangle are 5, 12, and 13.
So the correct option is the last one.
How to find the lengths of the sides?Remember that if we have two points (x₁, y₁) and (x₂, y₂), the distance between these two points is given by the formula:
d = √( (x₁ - x₂)² + (y₁ - y₂)²)
Here we know that the vertices of our triangle are the points:
(0, 0), (5, 0), (5, 12)
And we want to find the lengths of the sides.
We can get the length of the first side using the points (0, 0), (5, 0)
d₁ = √( (0 - 5)² + (0 - 0)²) = 5
The length of the second side is: (5, 0), (5, 12).
d₂ = √( (5 - 5)² + (0 - 12)²) = 12
The length of the third is side is given by the points (5, 12) and (0, 0)
d₃ = √( (5 - 0)² + (12 - 12)²)
d₃ = √(25 + 144) = 13
Then the correct option is the last one:
5, 12, 13.
Learn more about triangles:
https://brainly.com/question/2217700
#SPJ1
is 1/x = 3 nonlinear?
Answer:
it is linear
Step-by-step explanation:
i took the test.
At generic Middle school 6 students were sick with the flu on the first week of school. During the second week 10 students were sick and on the third week there were 15 students sick. The attendance clerk noticed that the number of students getting sick was growing exponentially with a growth factor of ‘1.6. Week#1(6) Week#2(10) Week#3(15). If the model continues to be correct for at least the first 3 months how many would be sick on the 12th week of school. Someone please give me a written explanation for this
If the model is true, there would be around 1689 students sick during the 12th week of classes.
The number of students getting sick was growing exponentially with a growth factor of ‘1.6.
Week 1 : (6)
Week 2 : (10)
Week 3 : (15).
To find the number of students sick on the 12th week of school, we can use the formula for exponential growth:
y = a bˣ
Where:
y is the number of students sick on the x th week
a is the number of students sick on the first week (6 in this case)
b is the growth factor (1.6 in this case)
x is the number of weeks that have passed (12 in this case)
Plugging in the values, we get:
y = 6 · 1.6¹²
Solving for y, we get:
y = 6 · 281.47
y = 1688.8 ≈ 1689
Therefore, there would be approximately 1689 students sick on the 12th week of school if the model is correct.
Learn more about exponential function here:
brainly.com/question/11487261
#SPJ1
A line passes through the point (6,-1) and is perpendicular to the line with the equation -2x + 3y = -6.
Answer: A
Step-by-step explanation:
Before we find the equation of the perpendicular line, we have to find the slope of the original line.
The slope-intercept form of the equation is y=mx+b, so let's change that.
[tex]-2x+3y=-6[/tex] [add both sides by 2x]
[tex]3y=2x-6[/tex] [divide both sides by 3]
[tex]y=\frac{2}{3} x-2[/tex]
This gives slope as [tex]\frac{2}{3}[/tex].
There are 2 things for us to do to find the slope of a perpendicular line.
1. reciprocal
2. change sign
Let's apply those rules.
1. [tex]\frac{3}{2}[/tex]
2. [tex]-\frac{3}{2}[/tex]
Now, we can find the perpendicular lines by plugging in our new point.
[tex]y=-\frac{3}{2} x+b[/tex] [plug in x and y]
[tex]-1=-\frac{3}{2}(6)+b[/tex] [multiply]
[tex]-1=-9+b[/tex] [add both sides by 9]
[tex]b=8[/tex]
Now we can plug in for our slope-intercept equation.
[tex]y=-\frac{3}{2} x+8[/tex]
Since answers are in standard form, we have to manipulate it.
[tex]y=-\frac{3}{2} x+8[/tex] [add both sides by [tex]\frac{3}{2} x[/tex]]
[tex]\frac{3}{2}x+y=8[/tex] [multiply both sides by 2]
[tex]3x+2y=16[/tex]
Therefore, our final answer is A.
Find the value of the expression
p
for n = 3 and r = 2.
Answer: 4
Step-by-step explanation:
Since 3(4+n) is equivalent to 3(n+p), 4 would be the correct answer
Answer: 4
write the equation of a parabola whose vertex is (-3,4) and passes through: (2,8). Put in vertex form.
The equation of the parabola that has a vertex (-3,4) and passes through (2,8) is 25y = 4x² + 24x + 13.
What is parabola?An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the DirectX and focus, respectively.
Given:
The vertex = (-3, 4) and the point = (2, 8)
Write the equation using the standard form given below,
[tex]y = a (x - h)^2 + k[/tex]
y = a[x - (-3)]² + 4
y = a(x + 3)² + 4
Now put the coordinates,
8 = a (2 + 3)² + 4
8 = 25a + 4
a = 4 / 25
Put the value of a in the above equation,
y = 4/25 × (x + 3)² + 4
25y = 4 (x² + 9 +6x) + 100
25y = 4x² + 36 +24x + 100
25y = 4x² + 24x + 13
To know more about Parabola:
https://brainly.com/question/10572747
#SPJ1
2. The basic advertising package has a value of $1,000
and the premium package has a value of $2,500. The
goal of the agency is to sell more than $60,000 worth
of small-business advertising packages.
If you know that exactly 10 premium packages were
sold, what can you say about the number of basic
packages the agency needs to sell to meet its goal?
1000b + 2500p = 60,000
1000b + 2500(10) = 60,000
1000b + 25000 = 60,000
1000b = 35,000
b = 35
they need to sell 35 basic packages to reach their goal of 60,000 dollars
Please help! Division of Polynomials, Find the quotient and remainder.
First:
Quotient: [tex]2x^{2} -11x+58[/tex]
Remainder: [tex]-294[/tex]
Second:
Quotient: [tex]x^{3} -5x^{2} +17x-83[/tex]
Remainder: [tex]422[/tex]
Third:
Quotient: [tex]2x-3[/tex]
Remainder: [tex]12[/tex]
what is 22 divided by a number s
Answer:
22 divided by 2 is 11
Step-by-step explanation:
q1.2: what power of 2 is the smallest representable positive normalized number? submit the exponent only.
The smallest representable positive number is 2149, or roughly 1.4*10-45.
Lets take a 32-bit floating point integer (IEEE 754) with the following bits,
0-22 for the mantissa (23 bits), 23-30 for the exponent ( 8 bits), and 31 for the sign (1bit)
The decimal counterpart of this expression would be if we put all zeros in the mantissa and all ones in the exponent.
The way of representing huge numbers in terms of powers is known as an exponent.
Exponent, then, is the number of times a number has been multiplied by itself. For instance, the number 6 is multiplied by itself four times, yielding 6 6 6 6. You can write this as 64. In this case, the exponent is 4 and the base is 6. This can be understood as 4 increased to the power of 6.
The exponent is represented by the symbol ^ . This symbol is known as a carrot . As an illustration, 4 raised to 2 can be expressed as 4^2 .
To learn more about exponents
brainly.com/question/5497425
#SPJ4
What is the difference between z1 and z2, and where is the difference located? difference: 0 4i; location: on the real axis difference: –10 0i; location: on the real axis difference: 0 4i; location: on the imaginary axis difference: –10 0i; location: on the imaginary axis
The difference between Z₁ and Z₂ is -10 + 0i.
Z₁ - Z₂ locates on the real axis, this is solved using the concept of complex numbers.
Option b is correct.
What is complex number?Real numbers and imaginary numbers combine to form complex numbers, which have two components. Complex numbers serve as the foundation for more complex arithmetic, including algebra.
Complex numbers are those that are represented as a+ib, where a and b are actual numbers and i is an imaginary number termed a "iota." i has the value (√-1).
From the graph we can know:
Z₁ (-5,2) = -5 + 2i
Z₂ (5,2) = 5 + 2i
The difference between Z₁ and Z₂ is Z₁ - Z₂
So, Z₁ - Z₂ = (-5 + 2i) - (5 + 2i)
Z₁ - Z₂ = - 10 + 0i
Thus, Z₁ - Z₂ locates on the real axis.
Correct option is: b
To know more information about complex numbers here
brainly.com/question/501218
#SPJ4
Answer:
Option B
Step-by-step explanation:
I just finished the test on edge. confirmed correct
Juan borrowed $2000 for 1 year and
paid 15% interest. How much
interest did he pay in a year?
Answer:At the rate of 15% the amount of interest on $2000
Step-by-step explanation:
simple amount= Principle(1+rt)
where r= rate of inetrest
t= time
principal is initial amount
therefore, amount=2000(1+15*1)
Amount = $2,300.00
Interest = Amount - Principal = $300.00
Answer:
Step-by-step explanation:
Interest = Principle * Rate * Time /100
Principle = $2000
Rate = 15 %
Time = 1 year
I = 2000 * 15 * 1/100
I = 300
Juan has to pay $300 in a year
2/5 divided by 3/8 as a fraction
What’s the force on an object with a mass of 10 kg and an acceleration of 4 m/s
The force on the object is 40N
What is force?Force can be described as the influence that can change the motion of an object.
It is seen as an external agent having the capability of changing a body's state of motion or rest.
It causes b in velocity of an object with mass , that is, to accelerate. Force can also be described as either a push or a pull.
It is described as a vector quantity, that is, it has both magnitude and direction.
The formula for determining force is given as;
F = ma
Where;
f is the force on the objectm is the massa is the accelerationSubstitute the values
F = 10(4)
F = 40N
Hence, the value is 40N
Learn more about force here:
https://brainly.com/question/25573309
#SPJ1
Mrs. Green sold of her cookies. She gave 36 of the remainder to her neighbour and kept 48 for her family. How many cookies did Mrs. Green sell?
Answer:
84
Step-by-step explanation:
Let's call the number of cookies Mrs. Green sold "x". We can then write the following equation to represent the information given in the problem:
x - 36 - 48 = 0
Solving for x, we get:
x = 36 + 48
Mrs. Green sold 36 + 48 = 84 cookies.
Tell me if this helped :)
8. a factory makes silicon chips for use in computers. it is known that about 90% of the chips meet specifications. every hour a sample of 18 chips is selected at random for testing and the number of chips that meet specifications is recorded. what is the approximate mean and standard deviation of the number of chips meeting specifications? (a) u
The approximate mean and standard deviation of the number of chips meeting specifications are: μ = 16.2; σ = 1.273
In this question, we have been given a factory makes silicon chips for use in computers. it is known that about 90% of the chips meet specifications. every hour a sample of 18 chips is selected at random for testing and the number of chips that meet specifications is recorded.
we need to find the approximate mean and standard deviation of the number of chips meeting specifications
Since 90% meet specifications we can say p = 0.9
So, q = 1 - p
q = 1 - 0.9
q = 0.1
here, a sample size is n = 18
So, the mean would be,
μ = np
μ = 18 * 0.9
μ = 16.2
And the standard deviation would be,
σ = √npq
σ = √(18 * 0.9 * 0.1)
σ = 1.273
Therefore, the mean (μ) = 16.2 and the standard deviation (σ) = 1.273
Learn more about the mean and standard deviation here:
https://brainly.com/question/28108712
#SPJ4
(URGENT!!) In the diagram, △FEL∼△JOS. Which ratios are equivalent to tanF? Select all that apply.
Responses
EF/EL
EL/EF
EL/FL
FL/EF
OJ/OS
OJ/JS
OS/OJ
OS/SJ
The equivalent ratios to tan F = EL/ EF = OS/OJ
Similar triangles:Similar triangles are those with the same shape but different sizes. Similar triangles include all equilateral triangles and squares with any side length.
All related pairs of angles will be equal and corresponding sides of similar triangles will have the same ratio. The symbol '∼' is used to represent the similarity.
Given that
△FEL∼△JOS
That means △FEL and △JOS are similar triangles
As we know tan θ = Opposite side / Adjacent side
From the triangle △FEL,
=> tan F = EL/EF
By the given information,
The similar triangle's corresponding sides will have the same ratio
=> EL/ EF = OS/OJ
Therefore
The equivalent ratios to tan F = EL/ EF = OS/OJ
Learn more about Similar triangles at
brainly.com/question/25882965
#SPJ1
You have a party of four that requested separate checks. The table's checks were for $35, $28, $42, and $22. With tips you collect $144 from the table. Tips of over 15% indicate the service is good. Did tipping indicate good service at this table?.
The tipping didn't indicate good service at this table.
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both
Since the table's checks were for $35, $28, $42, and $22. The total cost will be:
= $35 + $28 + $42 + $22
= $127
A tip of 15% will give a value of:
= $127 + (15% × $127)
= $46
Since With tips you collect $144 from the table, this is not a good service.
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
Please help, I will give u 20 points and I will choose u as the brainlyest answer. ( only if you get it right)
The missing factor for A in the model is 3/4
The missing factor for B in the model is 1/5The factor pair is 3/20How to determine the missing factor for A?From the question, we have the following parameters that can be used in our computation:
Length of column A = 4
Shaded region in column A = 3
This means that
The missing factor = Shaded region/Length of column A
Substitute the known values in the above equation, so, we have the following representation
The missing factor, A = 3/4
How to determine the missing factor for B?Here, we have
Length of column B = 5
Shaded region in column B = 1
This means that
The missing factor = Shaded region/Length of column B
Substitute the known values in the above equation, so, we have the following representation
The missing factor, B = 1/5
The factor pairIn (a) and (b), we have
The missing factor, A = 3/4
The missing factor, B = 1/5
So, we have
Pair = 3/4 * 1/5
Evaluate
Pair = 3/20
Read more about factors at
brainly.com/question/219464
#SPJ1
Hailey goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 8% is applied to the bill. Hailey decides to leave a tip of 24% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Hailey paid.
The expression in terms of xx that represents the total amount that Hailey paid is (2912/625)xx .
What is business Mathematics?
Business mathematics is the branch of mathematics utilized by businesses to track and coordinate their operations. Accounting, inventory management, marketing, sales forecasting, and financial analysis are all areas where commercial businesses apply mathematics.
According to Question:
let the the subtotal on the bill was xx dollars
A tax of 8% is added on bill then Bill becomes xx + 8% of xx
The of 8% on bill = (108/100)xx
Now the Final bill = xx + (108/100)xx
= (208/100)xx
Hailey decides to leave a tip of 24% on the entire bill (including the tax)
So the Total Amount = (208/100)xx + 24% of Final bills
⇒
24% of (208/100)xx = (208/100)(124/100)xx
The Total amount = (208/100)xx +(208/100)(124/100)xx
Let the Amount be A
hence, expression in terms of xx that represents the total amount that Hailey paid is A = (208/100)xx +(208/100)(124/100)xx
⇒ A = (52/25)xx +(52/25)(31/25)xx
⇒ 625A = 625((52/25)xx +(52/25)(31/25)xx)
⇒ 625A = 1300xx + 1612xx
⇒ 625A = 2912xx
⇒ A = (2912/625)xx
To learn more about Business mathematics , check out
https://brainly.com/question/28960886
#SPJ1
In triangle XYZ , A is the midpoint of overline XY . B is the midpoint of overline YZ . and C is the midpoint of overline XZ; AC = 5 , BC = 6 , and XZ = 15 What is the perimeter of triangle XYZ ? Enter your answer in the box .
The perimeter of the triangle XYZ according to the midsegment theorem is 37
What is the midsegment theorem?The midsegment theorem states that the segment that is obtained by joining the midpoints of two sides of a triangle is parallel to the third side and it is half the length of the third side of the triangle.
The specified parameters are;
The midpoint of [tex]\overline{XY}[/tex] = A
The midpoint of [tex]\overline{YZ}[/tex] = B
The midpoint of [tex]\overline{XZ}[/tex] = C
The length of segment AC = 5
The length of segment BC = 6
The length of side XZ = 15
The segments AC, BC, and AB are midsegments of the triangle XYZ
According to the midsegment theorem, we get
AC = 0.5 × [tex]\overline{YZ}[/tex]
BC = 0.5 × [tex]\overline{XY}[/tex]
AB = 0.5 × [tex]\overline{XZ}[/tex]
Therefore;
2 × AC = [tex]\overline{YZ}[/tex]
2 × BC = [tex]\overline{XY}[/tex]
2 × AB = [tex]\overline{XZ}[/tex]
[tex]\overline{YZ}[/tex] = 2 × 5 = 10 (substitution property)
[tex]\overline{XY}[/tex] = 2 × 6 = 12 (substitution property)
The perimeter of the triangle = [tex]\overline{YZ}[/tex] + [tex]\overline{XY}[/tex] + [tex]\overline{XZ}[/tex]
Plugging in the values, of [tex]\overline{YZ}[/tex], [tex]\overline{XY}[/tex], and [tex]\overline{XZ}[/tex] we get;
Learn more on the midsegment theorem here:
https://brainly.com/question/2274402
#SPJ1
Write "less" or "greater" in the blank.
972 is
than 792
Answer:
greater
Step-by-step explanation:
972 is a higher number than 792 so the answer is greater
Answer:
972 is greater than 792
Step-by-step explanation:
972 > 792
