What is the prime factorization of 270?
Answer:
[tex]\boxed{3^3 * 2 * 5}[/tex]
Step-by-step explanation:
Look at the image below ↓
Answer:
16 factors of 270
Step-by-step explanation:
1*270
2*135
3*90
5*54
6*45
9*30
10*27
15*18
If 400 g of chocolate sells for $12,
"how much is the cost per kilogram?
the cost of the chocolate of 1 kg will be 30$
A golf analyst claims that the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes. State H_0 and H_a in words and in symbols. Then determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols.Choose the correct answer below.A. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at least 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≥3.5."B. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≤3.5."C. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is equal to 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ=3.5."D. The null hypothesis expressed in words is. "the standard deviation of the 18-hole scores for a golfer is not 3.5 strokes." The null hypothesis is expressed symbolically as. "H0:σ≠3.5."
Answer:
The correct option is (C).
Step-by-step explanation:
The claim made by the golf analyst is:
Claim: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes.
A standard deviation test is to be performed.
The hypothesis for the test will be defined as follows:
H₀: The standard deviation of the 18-hole scores for a golfer is 3.5 strokes, i.e. σ = 3.5.
Hₐ: The standard deviation of the 18-hole scores for a golfer is at most 3.5 strokes, i.e. σ ≤ 3.5.
Thus, the correct option is (C).
Happy D's Playland charges a $100 flat
fee for parties plus $1.50 per person.
Marta has $125 to spend. Which
inequality could help Marta find the
number of people she can invite?
Answer:
$16.66
Step-by-step explanation:
$125-$100 = $25
since its $1.50 per person, we do $25 DIVIDED by $1.50 = $16.66.
i hoped this helped :)
IM STUMPED I USUALLY LOVE THESE PROBLEMS :( The least common multiple of x, 10 and 14 is 70. What is the greatest possible value of x?
Answer:
[tex]x=70[/tex]
Step-by-step explanation:
If we know that the LCM of 10, 14 and x will be 70, that means x has to be a factor of 70.
First, let's find the multiples of 10 and 14 until they equal 70.
[tex]10: 10,20,30,40,50,60,70[/tex]
[tex]14:14,28,42,56,70[/tex]
Since we're asking for the greatest value of x, that means that x has to be smaller or equal to than 70 but still large enough to be the greatest.
Hey, isn't 70 a factor of 70? The remainder gets to 1 which is a whole number, so 70 is a multiple of 70.
So, [tex]x = 70[/tex].
Hope this helped!
Answer:
x = 35
Step-by-step explanation:
70 factored is 2 x 5 x 7
x = 35
Use number properties to simplify the following expression.
-5 + (5 + 3)
In the box below, show each step in simplifying the expression and explain which property you used in each step.
Answer:
-5 + (5 + 3) =(-5 + 5) + 3 = 0 + 3 = 3[tex]\\ \sf\longmapsto -5+(5+3)[/tex].
Remove brackets[tex]\\ \sf\longmapsto -5+5+3[/tex]
[tex]\\ \sf\longmapsto (-5+5)+3[/tex]
[tex]\\ \sf\longmapsto 0+3[/tex]
[tex]\\ \sf\longmapsto 3[/tex]
PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answer:
The correct answer is b.
Step-by-step explanation:
if you arrange the data set in ascending order you will have:
x y
-2 [tex]\frac{1}{100}[/tex]
-1 [tex]\frac{1}{10}[/tex]
0 1
1 10
3 1000
Exponential growth is an increase in a specific way of a data set over time. here, as x increases by a +1, y increases with ×10
A board of directors consists of eight men and four women. A four-member search committee is randomly chosen to recommend a new company president. What is the probability that all four members of the search committee will be women?
Answer:
Total probability = 0.002 or 1 / 495
Step-by-step explanation:
Given:
Number of men = 8
Number of women = 4
Total number of person = 12
Find:
All four members will be women
Computation:
1st women probability = (4/12)
2nd women probability = (3/11)
3rd women probability = (2/10)
4th women probability = (1/9)
Total probability = (4/12)×(3/11)×(2/10)×(1/9)
Total probability = 24 / 11,880
Total probability = 0.002 or 1 / 495
The probability that all four members of the search committee will be women is 1.42%.
Since a board of directors consists of eight men and four women, and a four-member search committee is randomly chosen to recommend a new company president, to determine what is the probability that all four members of the search committee will be women the following calculation should be performed:
4/8 x 3/7 x 2/6 x 1/5 = X 0.5 x 0.42857 x 0.333 x 0.20 = X 0.01428 = X 100X = 1.42
Therefore, the probability that all four members of the search committee will be women is 1.42%.
Learn more in https://brainly.com/question/15943145
please what are plane shapes
Answer:
Circle
hope this helps.
Answer:
A closed, two-dimensional or flat figure is called a plane shape.
3 x 19 x 14 + 18 ÷ 2
Answer:
807Step-by-step explanation:
[tex]3 \times 19 \times 14 + 18 \div 2 \\ PEDMAS \\ (3 \times 19 \times 14 )+ 9 \\ = 798 + 9 \\ [/tex]
[tex] = 807[/tex]
Answer:
408
Step-by-step explanation:
3x19= 57
57x14= 798
798 + 18= 816
816/ 2= 408
help asap will give 10 points
Answer:
False
Step-by-step explanation:
[tex]( {9}^{9} ) \times ( {9}^{ - 20} ) \\ = {9}^{9 + ( - 20)} \\ = {9}^{ - 11} [/tex]
Answer:
I'm pretty sure its false
pls help. A granola mix sells for $8.99 a pound. Tung wants to buy a bag of granola mix that weighs 7.8 pounds. The bag of granola mix will cost about $16. $17. $63. $72.
Answer:
about 72 dollars
Step-by-step explanation
"about" tells us to round our numbers. Therefore, 7.8 becomes 8. As each pound is $8.99, we multiply the two and get 71.92, which is "about" 72.
Answer:
$72
Step-by-step explanation:
To find the cost, multiply the price per pound by the number of pounds.
8.99(7.8)
= 70.12
This is closest to $72
answer the question pls
Answer:
Question number 8 u place the number 1 line before -1 on the left.
Step-by-step explanation:
cuhcuhcuhcuchcuhcuhc
What is the result of the division?
4,060 ÷ 20 = ?
200 R3
203
230
233 R3
Answer:
it's answer is 203 ......
Solve for t in terms of q, r, and s.
r = sqt
t=
Answer:
t=r/(sq)
Step-by-step explanation:
r=sqt
=> r/(sq)=t
Answer:
T= r/(sq)
Step-by-step explanation:
r= sqt
=r/(sq) =t
The specifications for the diameter of a molded part are 10 mm ± 0.5 mm. The actual average and standard deviation from 250 parts sampled is 10.1 mm and 0.1 mm, respectively. The process can be characterized as:
Answer: Capable
Step-by-step explanation: The capability of a process could be exaplained as a measure of the ability of a process to produce part within specified limits by making use of statistical measurement. In determining if a certain process is capable or not, the value of process capability (Cp) is measured, in most cases, a process is deemed capable by having a Cp value of 1.33 or higher.
Cp formula :
(Upper specification limit(USL) - Lower specification limit(LSL) ) / 6* standard deviations
Diameter = 10 mm ± 0.5 mm
Standard deviation = 0.1mm
USL = 10 + 0.5 = 10.5
LSL = 10 - 0.5 =. 9.5
Cp = (10.5 - 9.5) / 6*0.1
Cp = 1/0.6
Cp = 1.6666
Cp = 1.67
Hence, the process is capable
True, sometimes true, or false?
The multiple of two consecutive integers is positive
Answer: sometimes true
Step-by-step explanation: if the integers are both positive or both negative, the product will always be positive. If the integers are negative and positive, then the answer will be negatove
I need help with this please :(
Answer:
4¹⁸
Step-by-step explanation:
(4⁻³)⁻⁶
= 4⁽⁻³⁾⁽⁻⁶⁾
= 4¹⁸
Answer:
[tex]\large \boxed{4^{18}}[/tex]
Step-by-step explanation:
When a base with an exponent has an whole exponent outside the parenthesis, we multiply the exponents.
[tex](4^{-3})^{-6}[/tex]
[tex]4^{-3 \times -6}[/tex]
[tex]4^{18}[/tex]
Check whether 301 is a term of the list of numbers 5, 11, 17, 23, . . .
Answer:
not a term
Step-by-step explanation:
There is a common difference between consecutive terms in the sequence, that is
d = 11- 5 = 17 - 11 = 23 - 17 = 6
This indicate the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 6, thus
[tex]a_{n}[/tex] = 5 + 6(n - 1) = 5 + 6n - 6 = 6n - 1
Equate this to 301 and solve for n
6n - 1 = 301 ( add 1 to both sides )
6n = 302 ( divide both sides by 6 )
n = 50.333....
Since n is not an integer value then 301 is not a term in this sequence.
true or false the ratio of the circumfernce of a circle to its diameter is called pi
That's true. Pi is known to be defined as the ratio of the circumference of a circle to its diameter.
A: m_1 = m_4
B: m_2 = m_3
C: m_1 + m_4 = 180°
D: m_2 + m23 = 180°
Answer:
A
Step-by-step explanation:
In ΔABC, m∠A=a, m∠B=β, m∠C=y. AB = c, AC = b, BC = a. Find the remaining parts of each triangle if the following parts are given.
a=5, b=7, y=31°
Answer:
9.013 square units
Step-by-step explanation:
8. Solve for x. Round your answer to the nearest tenth.
8.6
4
x
0176
Answer:
C. 9.5
Step-by-step explanation:
The Pythagorean Theorem: a^2 + b^2 = c^2.
4^2 + 8.6^2 = c^2
16 + 73.96 = c^2
c^2 = 89.96
c = 9.4847....
PLZ HELP !!!! Only do B) and C)
First frame is for b and second frame is for c
Warren is on vacation and needs to arrange transportation. A rental car costs 40 dollars per day plus a one-time cost of 14 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days. C(x)=________.
If Warren has budgeted 254 dollars for the rental, how many days can he afford?
Answer:
C(x)=40x+14, 6 days
Step-by-step explanation:
C(x)= payment per day*x + initial payment. the payment per day is $40 while the initial payment is $14. so C(x)=40x+14.
C(x)=254=40x+14, 40x=240, x=6
K(x)=5^x+2 find (-2)
Answer:
1
Step-by-step explanation:
K(x)=5^(x+2)
Let x = -2
K(-2)=5^(-2+2)
= 5^0
= 1
Answer:
k(- 2) = 1
Step-by-step explanation:
Substitute x = - 2 into k(x) , that is
k(- 2) = [tex]5^{-2+2}[/tex] = [tex]5^{0}[/tex] = 1 [ [tex]a^{0}[/tex] = 1 ]
Which number is closest to O on the number line?
-0.26
0.3
0.275
-0.51
Answer:
-.26
Step-by-step explanation:
If you take the absolute value (indicates how far a number-negative/positive- is from 0) of each number u listed you will find that .26 is the smallest number,thus smallest number.
Answer:
-.26 is closest to 0 on the number line.
Step-by-step explanation:
To find distance we use absolute value to find the smallest absolute value.
The absolute value of each number is as follows
-0.26 (0.26)
0.3 (0.3)
0.275 (0.275)
-0.51 (0.51)
In order from least to greatest we have
.26, .275, .3, .51
Therefore -.26 is closest to 0 on the number line.
Good luck!!
Easy Geometry Question.
Answer:
the answer will be 60
Step-by-step explanation to find x and y's value:
x = 180-2(60)
now, we will do the same method to find y's value
y = 180-120 which will be 60
i hope this helps :)
If a state issued license plates using the scheme of two letters followed by four digits, how many plates could it issue?
Answer:
Combining these results, it follows that there are 676 x 1000 = 676,000 different license plates possible.
CLASSIFY THE TRIANGLES WHOSE SIDES MEASURE:
A. a = 15cm, b = 20cm and c = 25cm
B. a = 3cm, b = 3cm and c = 1cm
Problem 1
a^2+b^2 = 25^2+20^2 = 225+400 = 625
c^2 = 25^2 = 625
We get the same output of 625.
This shows that a^2+b^2 = c^2 is true for (a,b,c) = (15,20,25). We have a pythagorean triple and this is a right triangle. This is also scalene as all three sides are different lengths.
Answer: Right scalene triangle=======================================
Problem 2
a^2+b^2 = 3^2+3^2 = 18
while c^2 = 1^2 = 1
So a^2+b^2 = c^2 is not a true equation for this a,b,c set of values. We do not have a right triangle. Instead we have an acute triangle based on these rules below
If a^2+b^2 = c^2, then we have a right triangleIf a^2+b^2 > c^2, then we have an acute triangleIf a^2+b^2 < c^2, then we have an obtuse triangleWe see that we have the form a^2+b^2 > c^2 since 18 > 1.
This acute triangle is also isosceles because a = b.
Answer: Isosceles acute triangleAnswer:
Triangle A is a scalene triangle.
Triangle B is an isosceles triangle
Exaplanation for the 1st Answer:
A scalene triangle is a triangle whose all side lengths are different.
Triangle A has the side lengths are 15, 20, 25. All these lengths are different, so this is a scalene triangle.
Explanation for the 2nd Answer:
An isosceles triangle has 2 sides lengths the same and the other side length different. Triangle B has side lengths of 3, 3, 1. Two side lengths are same, but 1 side length is different. So, this is an isosceles triangle.