Answer:
Mean = 4.4
Mode = 2
Range = 13
Explanation:
Given Data set = 1, 2, 2, 2, 3, 4, 5, 5, 6, 14
Mean = Add all the numbers together and divide is by the number of terms in the data set. = 44/10 = 4.4
Mode = Most repeated number in the data set = 2
Range = Largest Number - Smallest Number = 14 - 1 = 13
Hope this helps!
Answer: 4
Step-by-step explanation:
The area of a rectangle is 28 m', and the length of the rectangle is 1 m more than twice the width. Find the dimensions of the rectangle.
Answer:
8m ×3.5m
Step-by-step explanation:
Area of rectangle= length ×width
Let the length and width of the rectangle be L and W meters respectively.
Area of rectangle= LW
LW= 28 -----(1)
L= 2W +1 -----(2)
Subst. (2) into (1):
(2W +1)(W)= 28
Expand:
2W² +W= 28
-28 on both sides:
2W² +W -28= 0
Factorise:
(W +4)(2W -7)= 0
W +4=0 or 2W -7=0
W= -4 (reject) or W= 3.5
Substitute W= 3.5 into (2):
L= 2(3.5) +1
L= 7 +1
L= 8
∴ The dimensions of the rectangle is 8m ×3.5m.
Brainliest to who gets it right no links
A. t(x)=450-0.06x
hope this helps
Simplify the expression:
10v – 6v + 7 – 4v
Answer:
7
Step-by-step explanation:
collect like terms
o+7
when adding or subtracting 0, the quantity does not change
7
so 7 is your solution
What is the surface area of the cylinder with height 8 cm and radius 2 cm? Round your answer to the nearest thousandth.
Answer:
SA = 125.664 cm²
General Formulas and Concepts:
Symbols
π (pi) ≈ 3.14Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Surface Area of a Cylinder Formula: SA = 2πrh + 2πr²
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify variables
r = 2 cm
h = 8 cm
Step 2: Find SA
Substitute in variables [Surface Area of a Cylinder Formula]: SA = 2π(2 cm)(8 cm) + 2π(2 cm)²Evaluate exponents: SA = 2π(2 cm)(8 cm) + 2π(4 cm²)Multiply: SA = 32π cm² + 8π cm²Add: SA = 40π cm²Evaluate: SA = 125.664 cm²In the triangle below, which of the following is equivalent to the tangent of
62°?
Answer:
tan62= 7/25
Step-by-step explanation:
tan = opposite/adjacent
Option A is the correct answer.
We need to find, from the given option which is equivalent to the tangent of 62°.
What is the ratio of trigonometric function tangent?The ratio of trigonometric function tangent is tanθ=Opposit/Adjacent.
Now, tan62°=24/7.
Therefore, option A is the correct answer.
To learn more about trigonometric ratios visit:
https://brainly.com/question/13724581.
#SPJ2
Which of the following is a geometric sequence?
Answer: D
Step-by-step explanation:
As you can see it is switch from -3 to 3.
Why?
Because each time it is being multiplied by -1 so it switches from negative to positive and geometric sequences involve multiplication (and division so technically it could be dividing by -1).
In the triangle below, what is the length of the side opposite the 30° angle?
Answer:
Step-by-step explanation:
take 30 degree as reference angle
using sin rule
sin 30=opposite /hypotenuse
1/2=opposite/2[tex]\sqrt{3[/tex]
opposite=2[tex]\sqrt{3[/tex] /2
opposite=[tex]\sqrt{3[/tex]
Answer:
√3
Step-by-step explanation:
let length of side opposite 30⁰ be x
sin 30= x/ (2√3)
½=x/(2√3)
cross multiply
2x=2√3
x=√3
length opposite 30⁰= √3
What is the mode for the set of data shown below?
14, 28, 33, 97, 53, 81, 42, 28, 32, 35, 75, 38, 69, 95, 49, 90
A. 14
B. 28
C. 95
D. 32
Answer:
28
Step-by-step explanation:
4, 28, 33, 97, 53, 81, 42, 28, 32, 35, 75, 38, 69, 95, 49, 90
Mode is the number that appears most often
4, 28, 28, 32, 33,35, 38, 42, 49,53,69, 75, 81, 90, 95, 97
28 appears twice
1. daily low temperatures the first 7 days of
February (°F): 25, 24, 25, 27, 25, 23, 15
median:
mode:
Answer:
Median: 25
Mode: 25
Step-by-step explanation:
How many liters of a 20% alcohol solution must be mixed with 50 liters of a 70% alcohol solution to get a 40% alcohol solution?
how do u find the percent of 36 and 40? Thanks!
In the diagram of XYZ, which term describes point ?
х
z
w
Y
O A. Circumcenter
O B. Incenter
O C. Orthocenter
D. Centroid
A local police chief claims that about 51% of all drug related arrests are ever prosecuted. A sample of 900 arrests shows that 47% of the arrests were prosecuted. Is there sufficient evidence at the 0.01 level to refute the chief's claim? State the null and alternative hypotheses for the above scenario.
Answer:
The null hypothesis is [tex]H_0: p = 0.51[/tex].
The alternate hypothesis is [tex]H_1: p \neq 0.51[/tex].
The p-value of the test is 0.0164 > 0.01, which means that there is not sufficient evidence at the 0.01 level to refute the chief's claim.
Step-by-step explanation:
A local police chief claims that about 51% of all drug related arrests are ever prosecuted
At the null hypothesis, we test if the proportion is of 51%, that is:
[tex]H_0: p = 0.51[/tex]
At the alternate hypothesis, we test if the proportion is different from 51%, that is:
[tex]H_1: p \neq 0.51[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.51 is tested at the null hypothesis:
This means that [tex]\mu = 0.51, \sigma = \sqrt{0.51*0.49}[/tex]
A sample of 900 arrests shows that 47% of the arrests were prosecuted.
This means that [tex]n = 900, X = 0.47[/tex]
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.47 - 0.51}{\frac{\sqrt{0.51*0.49}}{\sqrt{900}}}[/tex]
[tex]z = -2.4[/tex]
P-value of the test:
Probability that the sample proportion differs from 0.51 by at least 0.04, which is P(|z|>2.4), which is 2 multiplied by the p-value of Z = -2.4.
Looking at the z-table, the Z = -2.4 has a p-value of 0.0082.
2*0.0082 = 0.0164.
The p-value of the test is 0.0164 > 0.01, which means that there is not sufficient evidence at the 0.01 level to refute the chief's claim.
plz help me i am trying to get this done
Answer:
2700
Step-by-step explanation:
108*25=2700
100*25=2500
+
8*25=200
-------------------------------
2700
A regular polygon first maps directly onto itself after rotating 120 degrees. How many sides does the polygon have?
1
2
3
4
The answer is ,The polygon has 3 sides
Find the value of x if the angles below are vertical.
Answer:
x = 19
Step-by-step explanation:
Since the angles are vertical, that means these angles are equal to each other:
7x + 34 = 10x - 23
7x - 10x = -23 - 34
-3x = -57
x = 19
Answer:
Step-by-step explanation:
7x+34=10x-23 (being vertically opposite angles)
34+23=10x-7x
57=3x
57/3=x
19=x
(8+3)(-1) Distributive Property
Answer:
-11
Step-by-step explanation:
(8+3)(-1) Add 8 + 3
(11)(-1) Multiply
-11 Final Answer
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{(8 + 3)(-1)}\\\\\large\textsf{(8 + 3) = \bf 11}\\\\\large\textsf{11(-1)}\\\\\large\textsf{= \bf -11}\\\\\boxed{\boxed{\large\textsf{\large\textsf{Answer: \huge \bf -11}}}}\huge\checkmark\\\\\\\\\\\large\text{Good luck on your assignment and enjoy your day!}\\\\\\\\\\\\\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
Suppose x is a normally distributed random variable with a mean of 12 and a standard deviation of 3. The probability that x equals 19.62 is _____.
Answer:
The probability that x equals 19.62 is 0
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
In the normal probability distribution, the probability of an exact value, that is, P(X = x) is 0. Thus, the probability that x equals 19.62 is 0
Jane needs to buy mulch to cover a circular garden
whose dimensions are shown in the figure. The cost of
the mulch is $32.52 per square yard. Find the amount
of mulch she will need to the nearest square yard and
find the cost of the mulch.
Answer:
$3089.4
Step-by-step explanation:
A circle is a locus of a point such that its distance from a point known as the center is always constant.
The area of a circle is given by the formula:
Area = πr²; where r is the radius of the circle.
From the image attached, we can see that the garden is circular with a radius of 5.5 yard. Hence:
Amount of mulch needed to cover garden = area of garden = πr² = π(5.5)² = 95 yd²
Since mulch cost $32.52 per square yard, hence:
Cost of mulch needed = $32.52 per yd² * 95 yd² = $3089.4
Two lines intersect at a:
A.line
B. Plane
C. Ray
D. Point
Answer:
D
Step-by-step explanation:
two lines intersect at a point, because the lines are made of points and when they intersect they share a point; the point of intersection belongs to both lines in the same time.
Hi there!
»»————- ★ ————-««
I believe your answer is:
D) Point
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
A point marks a location of something. It has no size, so it is position only. When two lines intersect, they share a common point called point of intersection. Therefore, we can say that two lines intersect at a point.⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
(4-2)^2x5+9
Answer+step by step
Answer:
4-2 = 2
2x5+9 = 19
2^19 = 2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2x2 = 524288
Answer:
29
Step-by-step explanation:
Use PEMDAS
P- Parenthesis
E- Exponents
M- Multiply
D- Divide
A- Add
S- Subtract
(4-2)^2×5+9 first you do parenthesis which is (4-2)=2
(2)^2×5+9 next the exponents (2)^2=4
4×5+9 now the multiplication, 4×5=20
20+9 And now finish it off with the addition
So the answer ends up being 29.
is y= 2^x + 3x - 4 a quadratic function
Answer:
No
Step-by-step explanation:
Due to the absence of the squared coefficient, we can automatically strike this as not a quadratic.
And, judging by the terms of the function, this is a trinomial.
Please help if you really can help with this math question.
If a question asks “which of the following best estimates the area?” My answer was $4800. If it’s asking for estimation is it suppose to be $5000 ???
Answer:
I'm pretty sure it is suppsoed to be 4800.
Step-by-step explanation:
Please help i’ll rate brainliest too
Answer:
- 4
Step-by-step explanation:
h(x) = sin x
f(x) = | 3x - 4 |
g(x) = 2x² - 6
h( [tex]\frac{\pi }{2}[/tex] ) = sin ( [tex]\frac{\pi }{2}[/tex] ) = 1
f ( 1 ) = | 3 × 1 - 4 | = 1
g ( 1 ) = 2( 1² ) - 6 = - 4
g ( f ( h ( [tex]\frac{\pi }{2}[/tex] ) ) ) = - 4
Solve the inequality:
4 +5t < 19
Answer:
t < 3 is the answer
Step-by-step explanation:
source: https://www.tiger-algebra.com/drill/4_5t%3C19/
^ (it has an explanation too)
Pls help math NO LINKS
For what values of x is the expression below defined?
VX + 4 = V1- x
Answer:
A
Step-by-step explanation:
A square root must be positive or equal to 0
x + 4 ≥ 0
x ≥ -4
1-x > 0
-x > - 1
x < 1
If we unite the two solutions, we have
-4 ≤ x < 1
A rectangle’s length is two feet less than three times it’s width. If it’s width is 7 feet, then which of the following is its area?
1. 19 square feet
2. 57 square feet
3. 114 square feet
4. 133 square feet
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answer:
Each girl should sell at least 77 boxes.
Step-by-step explanation:
Considering the number of boxes and how many girls will them, just take [tex]\dfrac{100}{13} \approx 77[/tex]
The exact result is [tex]\dfrac{100}{13} = 76.923...[/tex], but [tex]76 \cdot 13 = 988[/tex] and [tex]77 \cdot 13 = 1001[/tex], therefore, 76 cannot be the result. So, each girl should sell at least 77 boxes.
4x2-36x+80=0
Soma e Produto