Answer:
Significant figures are any digits that contribute to the number: In 02.400, only 2 and 4 are significant digits. However, in 2.4001, 2, 4, 0, 0, and 1 are significant digits, because the number would not be the same without them.
Step-by-step explanation:
Hope it helps <3
Solve for x. Answer as an integer or simplified fraction. Please include steps. Thanks!
Answer:
x=40 degreesStep-by-step explanation:
According to the angle sum theorem, the interior angles of a triangle add up to 180 degrees:
So, we can use the following equation to find x:
x+(x+10)+(210-3x)=180
now add like terms:
x+x+(-3x)+10+210=180
-x+220=180
now isolate the variable:
-x=180-220
-x=-40
x=-40/-1
x=40/1
x=40
The answer is that: the measure of x is 40 degrees
Betty has several of the standard six-sided dice that are common in many board games. If Betty rolls one of these dice, what is the probability that: She rolls a three. She rolls an odd number. She rolls a six or odd number.
Answer:
The probability of rolling a 3 is 1/6 because there's only one 3 out of the 6 options that are on a standard die.
The probability of rolling an odd number is 3/6 or 1/2 because 3 out of the 6 numbers on a standard die (1, 3, 5) are odd.
The probability of rolling a six or odd number is 4/6 or 2/3 because out of the 6 numbers on a standard die, there's one 6 and 3 odd numbers and 1 + 3 = 4.
2.4.6.8. 10.... geometrical,arithmetic or neither?
Answer:
This is an arithmetic sequence.
Step-by-step explanation:
The difference between the consecutive terms is constant => sequence is arithmetic.
4-2 = 2
6-4= 2
8-6 = 2
10-8 = 2
Step-by-step explanation:
It's an arithmetic sequences.
Formed by the n th term 2n.
As the difference is 2 between them.
let's find it, by formulae.
n th term = 2n
t1= 2×1=2t2 = 2×2=4t3=2×3=6t4=2×4=8and so on.....
Therefore, it's an arithmetic sequence.
Hope it helps..
Solve 2x2 – 6x + 10 = 0 by completing the square.
Answer: x = 6.32 or -0.32
Step-by-step explanation:
2x² - 6x + 10 = 0
No we divide the expression by 2 to make the coefficient of x² equals 1
We now have
x² - 3x + 5 = 0
Now we remove 5 to the other side of the equation
x² - 3x = -5
we add to both side square of half the coefficient of x which is 3
x² - 3x + ( ⁻³/₂)² = -5 + (⁻³/₂)²
(x - ³/₂)² = -5 + ⁹/₄
Resolve into fraction
(x - ³/₂)² = ⁻¹¹/4
Take the roots of the equation
x - ³/₂ = √¹¹/₄
x - ³/₂ = √11/₂
x = ³/₂ ± 3.32/₂
= 3+ 3.32 or 3 - 3.32
= 6.32 or - 0.32
In a class full of men and women, 5 9 of the class are women. What is the ratio of men to women in its simplest form?
Helpppp asapppppp....
Answer:
C.
Step-by-step explanation:
So, here's what you need to remember:
If we have a function f(x) and a factor k:
k(f(x)) will be a vertical stretch if k is greater than 1, and a vertical compression if k is greater than zero but less than 1.
f(kx) will be a horizontal compression if k is greater than 1, and a horizontal stretch if k is greater than zero but less than 1.
We are multiplying 0.5 to the function. In other words: 0.5f(x).
This is outside the function, so it's vertical.
0.5 is less than 1, so this would be a vertical compression
WILL GIVE BRAINLIEST!!!! A 5×5×5 wooden cube was painted and then sawed into 1×1×1 cubes.
b. How many 1×1×1 cubes are completely unpainted?
c. How many 1×1×1 cubes have exactly two faces painted?
Answer:
b.27 c. 36 (THIS ANSWER IS CORRECT....IM IN RSM ;)
Step-by-step explanation:
The bottom one is for b.
Okay now for c. Lets first think about every cube that has two faces painted. all the cubes on the edges right? So that would be 5*12=60 but that isn't the answer because the problem stated EXACTLY two faces. That means every cube on a vertices doesn't count because it has 3 faces painted. If you look back at the edges and don't count the cubes on the vertices you will see that there are 3 cubes that fit these guide lines on each edge and there are 12 edges. So your answer would be 3*12=36!
You can do it simply by seeing that the outer cubes will have their upper surfaces painted and thus 5*5 squares for each outer surface which will leave a cube with 3×3×3 dimensions. It is 3*3*3 because on every side all the outer cubes will be painted. So one layer of the cube will be decreased by one on all sides. So the length width and height will all end up as 5-2=3. Its kind of hard to explain and i suggest you draw it out if you don't understand...
The number of 1×1×1 cubes that are completely unpainted is 27 and the number of 1×1×1 cubes have exactly two faces painted. is 36.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
b. BY looking that the outer cubes will have their upper surfaces painted and thus 5 x 5 squares for each outer surface which will leave a cube with 3×3×3 dimensions.
It is 3 x 3 x 3 because on every side all the outer cubes will be painted. So one layer of the cube will be decreased by one on all sides. The length width and height will all end up as 5-2=3.
c. Let's first think about every cube that has two faces painted. So that would be 5x 12=60 but that isn't the answer because the problem stated exactly two faces.
That means every cube on vertices doesn't count because it has 3 faces painted. If you look back at the edges and don't count the cubes on the vertices you will see that there are 3 cubes that fit these guidelines on each edge and there are 12 edges.
The number is calculated as:-
N = 3x 12=36
Hence, the number of 1×1×1 cubes that are completely unpainted is 27 and the number of 1×1×1 cubes has exactly two faces painted. is 36.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ5
Does this graph show a function? Explain how you know.
O A. No; there are yvalues that have more than one x-value.
ОО
B. Yes; there are no y-values that have more than one x-value.
C. No; the graph fails the vertical line test.
ОО
D. Yes; the graph passes the vertical line test.
It is possible to draw a single straight line to pass through more than one point on the red curve. Therefore, the graph fails the vertical line test. We have cases where one input leads to more than one output.
Find the standard divisor to two decimal places (hundredth) for the given population and number of representative seats.
Population : 140,000
# seats : 9
A) 15,555.56
B) 17,055.56
C) 13,056
D) 14,055.56
E) 16,055
Answer:
A
Step-by-step explanation:
A divisor refers to a number by which another number is to be divided.
So what this question is practically asking us is that which of the values in the options to 2 decimal places is the result dividing the population by the number of seats
Thus we have;
140,000/9 = 15,555.55555 which to 2 decimal places is 15,555.56
how could you correctly rewrite the equation 4(5+3)=2(22-6) using the distributive property?
We can correctly rewrite the equation: 4(5+3) = 2(22-6) by distributing each side.
4(5+3) = 2(22-6)
4(8) = 2(16)
32 = 32
Once you finish distributing each side, you can check to see if it is equal on both sides.
In our case it is since they both equal 32 after distributing the terms.
Which pair of non-congruent figures must be similar? two squares two parallelograms (not rectangles) two right triangles two isosceles triangles (not equilateral)
Answer:
The answer is A (Two squares)
Step-by-step explanation:
Any give square will have proportionate side lengths,as they are the same, meaning that if you dilute one square it will always be proportinate
Answer:
it is a
Step-by-step explanation:
the other person is correct. and I did the test
A large study of over 2000 parents and children in Norway found that toddlers who regularly slept less than 10 hours per night or woke frequently (three or more times) at night tended to experience more emotional and behavioral problems when they reached age five. The study involved a large random sample of mothers and children and was conducted over several years. What is the population of interest in this survey
Answer: Parents and children ( till the age of 5) of Norway
Step-by-step explanation:
The population in a survey is the group of people sharing common features or characteristics as per the researcher point of view.Here, A large study of over 2000 parents and children in Norway found that toddlers who regularly slept less than 10 hours per night or woke frequently (three or more times) at night tended to experience more emotional and behavioral problems when they reached age five.
Since the study involved a large random sample of mothers and children and was conducted over several years.
So, the population of interest in this survey is "Parents and children ( till the age of 5) of Norway".
Suppose that you have $100. You have two options for investing your money.
Option 1: Increase by $10 each year
Year
Amount
1
100
110
Type:
a =
b =
Answer:
Option One:
type : linear growth
a : 120
b : 130
Option 2:
type: linear growth
d : 121
e : 133
Step-by-step explanation:
its right on EDG 2020
Option One:
type: linear growth
a: 120
b: 130
Option 2:
type: linear growth
d: 121
e: 133
What is linear and exponential growth?Linear growth occurs with the aid of including an equal amount in each unit of time. An exponential increase happens while a preliminary population will increase by the same percent or issue over the same time increments or generations.
What is the distinction between linear and exponential?Linear and exponential relationships vary within the way the y-values change whilst the x-values increase with the aid of a steady quantity: In linear dating, the y-values have identical variations. In an exponential relationship, the y-values have identical ratios.
Learn more about Linear growth here: brainly.com/question/4025726
#SPJ2
The average flight time from Seattle (SEA) to New York (JFK) is 4.3 hours. The distance between them is 2421 miles. The average flight time going the other way, JFK to SEA is 5.5 hours. The difference is due to the jet stream. Translate this situation to a system of equations and find the average speed of the jet and the average speed of the jet stream.
Answer:
Speed of the jet is 563.02 miles/hr
Speed of the jet stream is 122.83 miles/hr
Step-by-step explanation:
The average time for going from Seattle to New York is 4.3 hours
The distance between these places is 2421 miles
The average time for going back (impaired by jet stream) is 5.5 hours
If we designate the speed of the jet = v
and the speed of the jet stream = u
then on the return trip, the relative speed of the jet = v - u
Also, recall that distance = speed x time
For the going trip, the distance covered by the jet = 4.3 x v = 2421 miles
For the return trip, the distance covered by the jet = 5.5 x (v - u) = 2421 miles
= 5.5(v - u)
these translate into the following equation written below
4.3v = 2421 ....equation 1
5.5(v - u) = 2421 ....equation 2
solving, equation 1, we'll have
4.3v = 2421
v = 2421/4.3 = 563.02 miles/hr this is the speed of the jet
substituting the value of v into equation 2, we'll have
5.5(v - u) = 2421
5.5(563.02 - u) = 2421
3096.61 - 5.5u = 2421
3096.61 - 2421 = 5.5u
675.61 = 5.5u
u = 675.61/5.5
u = 122.83 miles/hr this is the speed of the jet stream
Penny's parents gave her $50 to spend on new video games. Used games are $7 and new games are $12. 1. What is the system of inequalities that represent this situation? 2. What is the maximum amount of used games that she could buy? 3. What is the minimum amount of new games that she could buy? 4. What are two possible combinations of used and new games she can purchase?
The correct answers are Part 1: 7x + 12y 50, x,y 0; Part 2: 7; Part 3: 0: Part 4: 2 old and 3 new video games.
Step-by-step explanation:
Penny's parents gave her $50 to buy new video games.
Price of used games are $7 and new games are $12.
Let Penny buy x number of old video games and y number of new video games.
Part 1:
Total price she spent on buying the video games are 7x + 12y.
This amount should be less than or equal to the amount of money she possess. therefore 7x + 12y 50, x, y 0.
Part 2:
Maximum number of used game she can buy can be given when she spends all her money just on used games. Therefore y = 0. This implies x .
Thus the maximum number of used game she can buy is 7 where she does not buy any new game and has $1 left with her after the purchase.
Part 3:
Minimum number of new games that Penny can buy is zero. She can not buy any new games and spent all her money purchasing old games.
Part 4:
The possible combination in which she can purchase both the video games is 2 old games and 3 new games.
hope this helps
Help thank you!!!!!!!
[tex] v = \sqrt{4900} + \sqrt{8100} = 70 + 90 = 160[/tex]
Answer: D. 160
The Stanford-Binet Intelligence Scale is an intelligence test, which, like many other IQ tests, is standardized in order to have a normal distribution with a mean of 100 and a standard deviation of 15 points.
As an early intervention effort, a school psychologist wants to estimate the average score on the Stanford-Binet Intelligence Scale for all students with a specific type of learning disorder using a simple random sample of 16 students with the disorder. Determine the margin of error, m, of a 99% confidence interval for the mean IQ score of all students with the disorder. Assume that the standard deviation IQ score among the population of all students with the disorder is the same as the standard deviation of IQ score for the general population, sigma = 15 points.
Answer:
The margin of error is [tex]MOE = 9.68[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is [tex]n= 16[/tex]
The standard deviation is [tex]\sigma = 15[/tex]
The confidence level is [tex]C = 99[/tex]%
Generally the level of significance is mathematically evaluated as
[tex]\alpha = 100 - C[/tex]
[tex]\alpha = 100 - 99[/tex]
[tex]\alpha = 1%[/tex]%
[tex]\alpha = 0.01[/tex]
The critical value of [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is
[tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]
The reason obtaining the critical value of [tex]\frac{\alpha }{2}[/tex] instead of [tex]\alpha[/tex] is because we are considering the two tails of the area normal distribution curve which is not inside the 99% confidence interval
Now the margin of error is evaluated as
[tex]MOE = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }[/tex]
substituting values
[tex]MOE = 2.58 * \frac{15}{\sqrt{16} }[/tex]
[tex]MOE = 9.68[/tex]
1. Manuel quiere fabricar banderitas chilenas para venderlas en los partidos de la selección nacional. Si se demora 1 hora en hacer 45 banderitas y trabaja 5 horas diarias. ¿Cuántos días se demorará en fabricar 1800 banderitas?
Answer:
[tex]\large \boxed{\text{Eight days}}[/tex]
Step-by-step explanation:
1. Calculate the hours
[tex]\text{Hours} = \text{1800 flags} \times \dfrac{\text{1 h}}{\text{45 flags}} = \textbf{40 h}[/tex]
2. Calculate the days
[tex]\text{Days} = \text{40 h} \times \dfrac{\text{1 da}}{\text{5 h}} = \text{8 da}\\\\\text{It will take $\large \boxed{\textbf{eight days}}$ to make 4500 flags.}[/tex]
The measure of ∠1 is 150°. What are the measures of ∠4, ∠3 and ∠2?
Answer:
∠1 is 150°
∠2 is 30°
∠3 is 150°
∠4 is 30°
Step-by-step explanation:
∠1 is vertically opposite to ∠3 so they are equal
360° - (150° + 150°) = 360° - 300° = 60°
∠2 and ∠4 must sum to 60°
Step-by-step explanation:
From the question
∠1 is opposite to ∠ 3 and vertically opposite angles are equal
So
∠1 = ∠ 3
That's
∠ 3 = 150°∠ 3 and ∠ 4 are on a straight line and angles on a straight line add up to 180°
So to find ∠4, subtract ∠3 from 180°
That's
∠ 4 = 180 - ∠ 3
∠ 4 = 180 - 150
∠ 4 = 30°Since ∠ 4 and ∠ 2 are opposite they are also equal
That's
∠ 4 = ∠ 2
Therefore
∠ 2 = 30°Hope this helps you
Can someone Give me the answer?
Answer:
(0,5)
Step-by-step explanation:
The solution to the system is where the two graphs intersect
From the graph, the graphs intersect at x = 0 and y =5
Step-by-step explanation:
I have trouble with these types of questions as well, but hopefully this might help.
Solve the quadratic equation 4x2 – x = 8 using the quadratic formula.
Answer:
[tex]1x=\frac{1\sqrt{129} }{8}[/tex]
Step-by-step explanation:
In between the 1 and the [tex]\sqrt{129}[/tex] goes this symbol: ±
hope this helps!
Consider the Equation y > 3x + 1 (a) Find an ordered pair that satifies the equation (b) Is the equation a Releation? explain (c) Is the equation a Function? explain
Answer:
(a) (1,5)
(b) Every subset of a cartesian product is a relation, therefore this is a relation.
(c) The relation IS NOT a function.
Step-by-step explanation:
(a)
(1,5)
Notice that 3(1) +1 = 4 < 5 therefore (1,5) is an order pair that satisfies the equation.
(b)
Every subset of a cartesian product is a relation, therefore this is a relation.
(b)
A relation is a function of the following condition holds
if (a,b) and (c,b) belong to the relation then (a=c)
In this case, (1,5), (0,5) belong to the relation but 0 is different than 5, therefore the relation IS NOT a function.
How do I find the length of AB
Also can I get explained on how to do it!!
ASAP
Answers
A-211.63
B-9.35
C-207
D-44.98
Answer:
Hello, there!!!
The answer is option D.
but you can also write 45 by rounding off, alright.
Hope it helps...
hello
now we know that this is a vertical triangle.
if C = 90° and B = 12°
90+12 = 102 180-102=78.
so A = 78°
now look at the A. A is looking to the CB.
so we can set up an equal.
A is 44
and
B is ?
if 78 is 44
12 is x 12×44÷78= 6.7692..
right now
AC = 6.7692
BC is = 44
this is a vertical triangle thats why the verticals angle's lookings (AB) square, should be the others lookings squares sum.
6.7692^2 = 45.2875..
44^2 = 1936
1936+45.2875= 1981.2875
now im taking 1981.2875 into the square root to find AB.
✓1981.2875 = 44.5
there were many numbers after the 1981 thats why it will probably 44.9
good luckk
There are three points on a line, A, B, and C, so that AB = 12 cm, BC = 13.5 cm. Find the length of the segment AC . Give all possible answers.
Answer:
AC = 25.5 or 1.5
Step-by-step explanation:
If they are on a line and they are in the order ABC
AB + BC = AC
12+13.5 = AC
25.5 = AC
If they are on a line and they are in the order CAB
CA + AB = BC
AC + 12 =13.5
AC = 13.5 -12
AC = 1.5
If they are on a line and they are in the order ACB
That would mean that AB is greater than BC and that is not the case
A quality control inspector has determined that 0.25% of all parts manufactured by a particular machine are defective. If 50 parts are randomly selected, find the probability that there will be at most one defective part.
Answer:
9.941*10^-6
Step-by-step explanation:
Probability of at most 1 means not more than 1 defective= probability of 1 or probability of 0
Probability of 1 = 50C1(0.25)(0.75)^49
Probability= 50(0.25)*7.55*10^-7
Probability= 9.375*10^-6
Probability of 0
= 50C0(0.25)^0(0.75)^50
= 1(1)(0.566*10^-6)
= 0.566*10^-6
Total probability
= 9.375*10^-6+ 0.566*10^-6
= 9.941*10^-6
Suppose a city official conducts a hypothesis test to test the claim that the majority of voters oppose a proposed school tax. Assume that all of the conditions fro proceeding with a one-sample test on proportions have been met. The calculated test statistic is approximately 1.23 with an associated p-value of approximately 0.1093. Choose the conclusion that provides the best interpretation for the p-value at a significance level of alpha = 0.05.
A. If the null hypothesis is true, then the probability of getting a test statistic that is as or more extreme than the calculated test statistic of 1.23 is 0.1093. This result is surprising (or considered unusual) and could not easily happen by chance.
B. If the null hypothesis is true, then the probability of getting a test statistic that is as or more extreme than the calculated test statistic of 1.23 is 0.1093. This result is not surprising (or considered unusual) and could easily happen by chance
C. The p-value should be considered extreme: therefore, the hypothesis test proves that the null hypothesis is true
D. none of the above
Answer:
The correct option is (B).
Step-by-step explanation:
The p-value is well-defined as per the probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic.
In this case, we need to test the claim that the majority of voters oppose a proposed school tax.
The hypothesis can be defined as follows:
H₀: The proportion of voters opposing a proposed school tax is not a majority, i.e. p ≤ 0.50.
Hₐ: The proportion of voters opposing a proposed school tax is a majority, i.e. p > 0.50.
It is provided that the test statistic value and p-value are:
z = 1.23
p-value = 0.1093
The probability, [under the null-hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was the truly observed value of the test statistic is 0.1093.
The significance level of the test is:
α = 0.05
The p-value of the test is larger than the significance level of the test.
p-value = 0.1093 > α = 0.05
The null hypothesis will not be rejected.
Concluding that there is not enough evidence to support the claim.
Thus, the correct option is:
"If the null hypothesis is true, then the probability of getting a test statistic that is as or more extreme than the calculated test statistic of 1.23 is 0.1093. This result is not surprising (or considered unusual) and could easily happen by chance"
When dividing 336 by the natural number n> 10, the remainder is 2. Then the remainder obtained by dividing 2007 by n is
Answer:
3
Step-by-step explanation:
336 / n = k + 2/n, where k is an integer
336 = kn + 2
334 = kn
2007 / n
(2004 + 3) / n
(334×6 + 3) / n
334×6/n + 3/n
6k + 3/n
The remainder is 3.
A small fruit basket with 6 apples and 6 oranges costs $7.50. A different fruit basket with 10 apples and 5 oranges costs $8.75. If x is the cost of one apple and y is the cost of one orange, the system of equations below can be used to determine the cost of one apple and one orange. 6x+6y=7.50 10x+5y=8.75 What is the cost of one apple?
Answer:
$0.50
Step-by-step explanation:
Let's remove common factors from the equations.
x + y = 1.25 . . . . divide the first equation by 62x +y = 1.75 . . . divide the second equation by 5Subtracting the first equation from the second, we find the cost of an apple:
(2x +y) -(x +y) = 1.75 -1.25
x = 0.50
The cost of one apple is $0.50.
4. Simplify the following.
3
a. 2-X5-:11
3
x5
5
6
7
Answer:
[tex]1 \frac{1}{4} [/tex]Step-by-step explanation:
[tex]2 \frac{3}{7} \times 5\frac{5}{6} \div 11 \frac{1}{3} [/tex]
Convert the mixed number to an improper fraction
[tex] \frac{17}{7} \times \frac{35}{6} \div \frac{34}{3} [/tex]
To divide by a fraction, multiply the reciprocal of that fraction
[tex] \frac{17}{7} \times \frac{35}{6} \times \frac{3}{34} [/tex]
Reduce the number with the G.C.F 7
[tex]17 \times \frac{5}{6} \times \frac{3}{34} [/tex]
Reduce the numbers with the G.C.F 17
[tex] \frac{5}{6} \times \frac{3}{2} [/tex]
Reduce the numbers with the G.C.F 3
[tex] \frac{5}{2} \times \frac{1}{2} [/tex]
Multiply the fraction
[tex] \frac{5}{4} [/tex]
In mixed fraction:
[tex]1 \frac{1}{4} [/tex]
Hope this helps..
Good luck on your assignment...
Because of a manufacturing error, 3 cans of regular soda were accidentally filled with diet soda and placed into a 24-pack. Suppose that two cans are randomly selected from the 24-pack. Determine the probability that at least one contain regular soda.
Answer:
161/184 or 0.875
Step-by-step explanation:
Total number of cans = 24 cans
Total number of diet soda = 3 cans
Total number of regular soda = 21 cans
We are asked to find the probability that:that at least one contain regular soda if two cans are selected randomly
We have two ways for this happening
a) two of the cans are regular soda
b) one of the cans is regular , while one is diet
Hence,
Probability (that at least one contain regular soda) = Probability(that two of the cans are regular soda) + Probability ( one of the cans is regular , while one is diet)
Probability(that two of the cans are regular soda) = 21/24 × 20/23
= 35/46
Probability ( one of the cans is regular , while one is diet) = 21/24 × 3/23
= 21/184
Probability (that at least one contain regular soda) = 35/46 + 21/184
We find the Lowest common multiple of the denominators = 184
= 35/46 + 21/184
= (35 × 4) + (21 × 1)/184
= 140 + 21/184
= 161/184
= 0.875
Therefore, the probability that at least one can contains regular soda = 161/184 or 0.875