Answer:
The correct answer is
Fact
a thing that is known or proved to be true
Hope this helps
- Quinn
30 students, along with some of their parents, are going to a trip to Washington DC. Some of the adults are driving cars, and each car can accommodate up to 5 people including the driver. What is the smallest number of adults that should be invited on the trip to get all 30 students to Washington?
Answer:
Minimum 08 adults / drivers
Maximum 10 adults / drivers
Step-by-step explanation:
Total students are 30
Each car can take total 5 incl. drive
There needs to be 7 cars taking the 30 students, which also means there have to be minimum 7 drivers / adults.
Min. passengers = 30 + 7
Of course, there will be space for 3 more in the 8th car since 5 x 8 = 40
Need help ASAP please!!!
Answer:
Step-by-step explanation:
1/2x^2
thats becuase that is the red parabola's equation. I don't know how to explain but I know the answer.
A cylinder has radius R = 3.7 and height H = 5.6 both measured in inches. What is the volume of this cylinder measured in cm3? (Hint: The volume of a cylinder is given by V=\pi R^2HV = π R 2 H.)
Answer:
The volume is [tex]3946.17cm^3[/tex]Step-by-step explanation:
We need to convert the radius and the height to cm first
1 cm = 0.393701 in
r (cm)= 3.7 in
[tex]h(cm)= \frac{3.7}{0.393701}= 9.398 cm[/tex]
1 cm = 0.393701 in
h (cm)= 5.6 in
[tex]h(cm)= \frac{5.6}{0.393701}= 14.22 cm[/tex]
The formula the volume of cylinder is
[tex]volume= \pi r^2h\\\\volume= 3.142*9.398^2*14.22\\volume=3946.17cm^3[/tex]
solve 3x+2/2=13
really need help fast ;-;
Answer:
3x+2=26
3x=24
x=8
Step-by-step explanation:
Answer:
The answer is 8.
Step-by-step explanation:
you need to undo.
to get the 2 out of the bottom you need to multiply both sides of the equation by 2.
now you have 3x+2= 13(2)
3x+2=26.
Now you need to subtract 2 from both sides to get rid of the 2.
Now you have 3x=26-2
3x=24.
The final step in solving for x is to divide both sides by 3.
Now you have x=24/3
which give you your final answer of x=8
Hope this helps!
A box contains 99 green marbles and 1212 white marbles. If the first marble chosen was a green marble, what is the probability of choosing, without replacement, a white marble? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer:
0.9252Step-by-step explanation:
Adding the two together 1212 + (99 - 1)
1310
1212/1310 = 606/655
Decimal: 0.9252
I'm always happy to help :)
1(3√2)2=2n what is n? this might be hard to do but I need help asap!! ty
Answer:
[tex]n=3\sqrt{2}[/tex]
Step-by-step explanation:
[tex]2n=1\times \left(3\sqrt{2}\right)\times \:2[/tex]
[tex]2n=2 \times 3\sqrt{2}[/tex]
[tex]2n=6\sqrt{2}[/tex]
[tex]\frac{2n}{2}=\frac{6\sqrt{2}}{2}[/tex]
[tex]n=3\sqrt{2}[/tex]
Answer:
n = 3√2
Step-by-step explanation:
=> [tex]1(3\sqrt{2} )2 = 2n\\6\sqrt{2} = 2n\\[/tex]
Dividing both sides by 2, we'll get
=> [tex]\frac{6\sqrt{2} }{2} = \frac{2n}{2}[/tex]
So,
=> n = [tex]3\sqrt{2}[/tex]
Two cards will be dealt off the top of a well-shuffled deck. You have a choice:
i. To win $1 if the first is a king.
ii. To win $1 if the first is a king and the second is a queen.
Which option is better? Or are they equivalent? Explain briefly.
Answer:
i. is the better option.
Step-by-step explanation:
The probability first is a King = 4/52 = 1/13.
The probability second is a Queen = 4/51.
The probability first is a King and second is a Queen = 1/13 *4/51 = 4/663.
So there is a much betert chance to bet just that the first one is a King
A city council has requested a household survey be conducted in a suburban area of their city. The area is broken into many distinct and unique neighborhoods, some including large homes, some with only apartments, and others a diverse mixture of housing structures. Identify the sampling methods described below, and comment on whether or not you think they would be effective in this setting.
(a) Randomly sample 50 households from the city.
(b) Divide the city into neighborhoods, and sample 20 households from each neighborhood.
(c) Divide the city into neighborhoods, randomly sample 10 neighborhoods, and sample all house-holds from those neighborhoods.
(d) Divide the city into neighborhoods, randomly sample 10 neighborhoods, and then randomly sample 20 households from those neighborhoods.
(e) Sample the 200 households closest to the city council oces.
Answer:
Option D
Step-by-step explanation:
I think the most effective sample to this setting would be to
Divide the city into neighborhoods. Randomly sample 10 neighborhoods. And then randomly sample 20 households from those neighborhoods.
The city is first divided into the various distinct and unique neighbourhoods, then randomly sample 10 neighborhood such that this sample is a representation of the many distinct and unique neighborhoods, which include some with large homes, some with only apartments, and others a diverse mixture of housing structures.
Then from each neighborhood, take a random sample of 20 households.
This way, your sample are a representation of the population.
Write an equation in slope-intercept form for the line that passes through (4,5) and parallel to the to the line described by y=5x+10
Answer:
[tex]y = 5x-15[/tex]
Step-by-step explanation:
Parallel ⇒ So the slopes will definitely be equal
So,
Slope = m = 5
Now,
Point = (x,y) = (4,5)
So, x = 4, y = 5
Putting these in the slope intercept form to get b
[tex]y = mx +b \\[/tex]
5 = (5)(4) + b
5 = 20 + b
b = -20+5
b = -15
So, Putting m and b in the slope intercept form to get the required equation,
[tex]y = 5x-15[/tex]
Ile kilogramów solanki 6-procentowej i ile kilogramów 9-procentowej należy zmieszać, aby otrzymać 9 kilogramów solanki 8-procentowej?
Answer: solanka 6-procentowa=3 kg
solanka 9-procentowa = 6 kg
Step-by-step explanation:
Let solanka 6-procentowa=x kg
Let solanka 9-procentowa = y kg
So x+y=9
=> x=9-y (1)
6%=0.06 9%=0.09 8%=0.08
So pure salt is 0.06*x +0.09*y= 9*0.08 (2)
Lets put 9-y instead x in (2)
0.06*(9-y) +0.09*y=0.72
0.54-0.06*y +0.09*y=0.72
0.03*y=0.18
y=6kg => x=9-y => x=9-6=3 kg
Write the expression 3*3*3*3*3 in exponential notation
Answer:
3^5
Step-by-step explanation:
becuase 3*3*3*3*3
Answer: 3^5 (3 to the power of 5)
Step-by-step explanation:
3 is multiplied by itself 5 times
To shorten the expression, exponential notation is used and it becomes 3^5, which essentially means three multiplied by itself 5 times
ex. 4^3 equals 4x4x4
En el triángulo rectángulo ABC, recto en “B”, SI Tg C = 3/5, hallar el valor “cosec A”
Answer: Cosec(A) = 3.64
Step-by-step explanation:
Ok, tenemos un triangulo rectángulo.
Sabemos que B = 90° y que
tg(C) = 3.5
entonces:
Atg(Tg(C)) = C = Atg(3.5) = 74.05°.
Nosotros también sabemos que la suma de todos los ángulos interiores de un triangulo es igual que 180°
entonces:
A + B + C = 180°
A + 90° + 74.05° = 180°
A = 180° - 90° - 74.05° = 15.95°
Entonces Cosec(A) = Cosec(15.95°) = 1/sin(15.95°) = 3.64
Rogelio paints watercolors. He got a $100 gift card to the art supply store and wants to use it to buy 12 inch by 16 inch canvases. Each canvas costs $10.99. What is the maximum number of canvases he can buy with his gift card
Answer:
9 canvases
Step-by-step explanation:
To find the number of canvases Rogelio can buy, we just need to divide the value of the gift card by the value of each canvas. Then, if the result is decimal, we round down, because if we round up we will not have enough money to buy them all.
So we have that:
Number of canvases = 100 / 10.99
Number of canvases = 9.099
Rounding down, we can buy 9 canvases
What is the range of the following data set? 7.7, 8.4, 9, 8, 6.9
Answer:
The range is 2.1
Step-by-step explanation:
7.7, 8.4, 9, 8, 6.9
Put the numbers in order from smallest to largest
6.9,7.7, 8,8.4, 9
The range is the largest number minus the smallest number
9 - 6.9
2.1
I think of number. Add 2. Then Multiply it by 6. After that I square it. Assume the number as x. Write the correct algebraic form.
Answer:
[tex] {(6x+12) }^{2} \\
=36x^2+64x+144 [/tex]
Step-by-step explanation:
Thinked number
[tex]x[/tex]
Add 2
[tex]x + 2 \\ [/tex]
multiply it by 6
[tex]6(x+2) \\ [/tex]
square it
[tex] {(6x+12)}^{2} \\
= 36x^2+64x+144[/tex]
hope this helps
Answer:
36x^2 + 144x + 144
Step-by-step explanation:
Say the number youre think of is x
You do x + 2 as you're adding 2
Then you do x + 2 times 6 or 6 (x + 2) = 6x +12
6x + 12 squared = 36x ^ 2 + 144 x + 144
The percent defective for parts produced by a manufacturing process is targeted at 4%. The process is monitored daily by taking samples of sizes n = 160 units. Suppose that today’s sample contains 14 defectives. How many units would have to be sampled to be 95% confident that you can estimate the fraction of defective parts within 2% (using the information from today’s sample--that is using the result that f$hat {767} =0.0875f$
Answer:
[tex]n=\frac{0.0875(1-0.0875)}{(\frac{0.02}{1.96})^2}=766.82[/tex]
And rounded up we have that n=767
Step-by-step explanation:
We know the following info:
[tex] n=160[/tex] represent the sample size selected
[tex] x= 14[/tex] represent the number of defectives in the sample
[tex]\hat p= \frac{14}{160}= 0.0875[/tex] represent the estimated proportion of defectives
[tex] ME = 0.02[/tex] represent the margin of error desired
The margin of error for the proportion interval is given by this formula:
[tex] ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}[/tex] (a)
And on this case we have that [tex]ME =\pm 0.02[/tex] and we are interested in order to find the value of n, if we solve n from equation (a) we got:
[tex]n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}[/tex] (b)
The crtical value for a confidence level of 95% is [tex] z_{\alpha/2}=1.96[/tex]
And replacing into equation (b) the values from part a we got:
[tex]n=\frac{0.0875(1-0.0875)}{(\frac{0.02}{1.96})^2}=766.82[/tex]
And rounded up we have that n=767
The circle shown below has AB and BC as its tangents:
AB and BC are two tangents to a circle which intersect outside the circle at a point B.
If the measure of arc AC is 120°, what is the measure of angle ABC? (1 point)
Answer:
120
Step-by-step explanation:
we know if the arc measures 120, we know that its 1/3 of the circle, so ABC will also be 120
The mean age of 5 people in a room is 40 years. A person enters the room. The mean age is now 36. What is the age of the person who entered the room?
Answer:
[tex]\boxed{\sf \ \ \ age = 16 \ \ \ }[/tex]
Step-by-step explanation:
Hello,
as the mean age of 5 people is 40
it means that the sum of the 5 ages is 40*5=200
now a person enters the room, let's note x his age
the new mean is
[tex]\dfrac{200+x}{6}=36[/tex]
[tex]<=>200+x=6*36=216\\<=> x = 216-200=16\\[/tex]
So the age of the new person is 16
hope this helps
Timmy received $50 for his birthday following the birthday party his parents promised him 5$ each week for completing his chores. Assuming Timmy completes all chores uses a linear equation to determine the number of dollars Timmy will have in 7 weeks
Answer:
$85
Step-by-step explanation:
Let y represent Timmy's money after x weeks. If we assume that the only money Timmy has is what is mentioned in the problem statement, then ...
y = 50 +5x . . . . . $50 initially plus $5 for each week
After 7 weeks, x = 7, so Timmy's fortune will be ...
y = 50 +5(7) = 50 +35
y = 85
Timmy will have $85 in 7 weeks.
Please help !! *will mark correct answer as brainliest*
Problem:
The transformation is an isometry.
Answers:
True
False
True.
Isometry is such transformation where the shape of observed body is not manipulated on itself but rather the position of it is manipulated.
Hope this helps.
Answer:
mark the other brainliest
Step-by-step explanation:
What is the perimeter of this tile?
in.
in 2
3 in.
3 in.
Answer:
Perpendicular lines are lines that intersect at a right (90 degrees) angle.
Step-by-step explanation:
Answer: 12
Step-by-step explanation: each side is 3, and there are 4 sides so 3*4=12
Phil has $20,000, part of which he invests at 8% interest and the rest at 6%. If the total income from the two investments was $1460, how much did he invest at 6%?
Answer: 7000
Step-by-step explanation:
Let the amount invested in 8% account be P1 and the amount invested in 6% account be P2
. If the total amount invested is $20,000 then:
P1+P2=20,000. (Eq. 1)
The interest earned in one year from the 8% account is:
I1=0.08P1
and the interest earned in one year from the 6% account is:
I2=0.06P2
If the total interest earned is $1460, then:
I1+I2=1460
0.08P1+0.06P2=1460
(Eq. 2) From Eq. 1 :
P1=20000−P2
Substituting this into Eq. 2:
0.08 (20000−P2) + 0.06P2 = 1460
1600 − 0.08P2 + 0.06P2 = 1460
0.02P2 = 140
P2 = 140 / 0.02
P2 = 7000
Hence, he invested $7000 at the rate of 6%.
Is -7 an integer or a irrational number ?
Answer:
Integer
Step-by-step explanation:
Integer :a number which is not a fraction; a whole number that can be Positive or negative
Hope this helps.. Good Luck
Please answer this correctly
Answer:
I want to say 9 but im preety sure it's 6
Step-by-step explanation:
you have 54 times to pick it
you have 9 marbles,
54 divided by 9= 6
answer is 6
hope this helped:))))
have a grate dayy
Answer:
1
this is because I see only one marble present which is orange
Evaluate (x + y)0 for x = -3 and y = 5
Answer:
0Step-by-step explanation:
[tex](x + y)0 \\ x = -3 \\y = 5\\(-3+5)0\\(2)0\\= 0[/tex]
If Sammy eats 6/7 of a pizza in 2/21 of an hour, how many pizzas will he eat in one hour?
Answer:
9
Step-by-step explanation:
Sammy's rate of eating pizza is ...
pizza/hour = (6/7)/(2/21) = (18/21)/(2/21) = 18/2 = 9
Sammy eats pizza at the rate of 9 pizzas in one hour.
_____
Comment on the question
Sammy may only eat 6/7 of a pizza in an hour, because he is no longer hungry after eating that much.
Determine whether the following individual event are independent or dependent. Then find the probability of the combined event.
Randomly drawing and immediately eating two red pieces of candy in a row from a bag that contains 55 red pieces of candy out of 49 pieces of candy total.
Answer:
dependent and 1.26
Step-by-step explanation:
These two individual events are dependent on each other as first they draw it and then instant they eat two red candy pieces
Now the probability of the combined event is as follows
P(Probability of combined event) is
[tex]= P(Event 1) \times P \frac{Event 2}{Event 1}[/tex]
[tex]= \frac{55}{49} \times \frac{54}{48}[/tex]
[tex]= 1.122 \times 1.125[/tex]
= 1.26
We simply applied the above formula so that we can get the dependency or independency plus the probability of the combined event
Answer: independent & .057
Step-by-step explanation:
What are the like terms in the algebraic expression? Negative a squared b + 6 a b minus 8 + 5 a squared b minus 6 a minus b Negative a squared b and negative 6 a Negative a squared b and 5 a squared b 6 a b and 5 a squared b 6 a b and negative 6 a
Answer:
The like terms are: [tex]a^{2}b,\ ab,\ \teaxt{and}\ a[/tex]
Step-by-step explanation:
The expression is:
[tex]-a^{2}b+6ab-8+5a^{2}b-6a-b-a^{2}b-6a-a^{2}b+5a^{2}b+6ab+5a^{2}b+6ab-6a[/tex]
Collect the like terms as follows:
[tex]-a^{2}b+6ab-8+5a^{2}b-6a-b-a^{2}b-6a-a^{2}b+5a^{2}b+6ab+5a^{2}b+6ab-6a[/tex]
[tex]=(-a^{2}b+5a^{2}b-a^{2}b-a^{2}b+5a^{2}b+5a^{2}b)+(6ab+6ab+6ab)-(6a-6a-6a)-b-8[/tex]
[tex]=12a^{2}b+18ab+18a-b-8[/tex]
Thus, the final expression is [tex]12a^{2}b+18ab+18a-b-8[/tex]
The like terms are: [tex]a^{2}b,\ ab,\ \teaxt{and}\ a[/tex].
Answer:
The CORRECT answer is B
Step-by-step explanation:
A lottery is conducted using three urns. Each urn contains chips numbered from 0 to 9. One chip is selected at random from each urn. The total number of sample points in the sample space is:_______ a) 30 b) 100 c) 729 d) 1,000"
Answer: Option d.
Step-by-step explanation:
Ok, we have 3 urns.
Each urn can give a number between 0 and 9, so each urn has 10 options.
And as the urns are different, the outcome in the first urn does not affect the outcomes in the others, and the same happens for the outcome in the second urn, so the events are independent.
The total number of combinations is equal to the product of the number of options for each event (here each urn is one event)
then the number of combinations is:
C = 10*10*10 = 10^3 = 1000
Then the correct option is d.
Express the number using scientific notation: 0.000000067
Select one:
O a. 67 x 10-7
O b. 6.7 x 10-7
O c. can not be written in scientific form
O d. 6.7 x 10 -8
Answer: D
Step-by-step explanation:
To express this number in scientific notation, we want to move the decimal so that it goes past the first nonzero integer. In this case, we would move it to the right 8 times.
6.7×10⁻⁸
The only reason why the 8 is negative is because when you write the scientific notation in standard form, you will need to move the decimal to the left in order to get 0.000000067. Negative means moving to the left. Therefore, 6.7×10⁻⁸ is our correct answer.