Answer:
6x^2 Denadaaaaaaaaaaaaaaaaa
Mount Everest is 8,850m tall. Convert the height to kilometers.
Answer: 8.85km
Step-by-step explanation:
8,850m = 8,850 m⋅1 km / 1,000 m
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.
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
Mighty Casey hits two baseballs out of the park. The path of the first baseball can be described by the displacement (distance and direction) vector,
b1 = 100 i ^ + 10 j ^. The path of the second baseball can be described by the displacement vector b2 = 90 i ^ + (−20) j ^.
(a) How much farther did the first ball travel than the second? (Round your final answer to the nearest tenth.)
(b) How far are the baseballs apart? (Round your final answer to the nearest tenth.)
Answer:
a) 8.3 units of length
b) 31.6 units of length
Step-by-step explanation:
a) The distances traveled by each ball are given by:
[tex]d_1^2=100^2+10^2=10,100\\d_1=100.5\\\\d_2^2=90^2+(-20^2)=8,500\\d_2=92.2[/tex]
The diference between the distance traveled by both balls is:
[tex]d_1-d-2=100.5-92.2\\d_1-d_2=8.3[/tex]
The first ball traveled 8.3 units of length farther than the second ball.
b) The distance between both balls is:
[tex]d^2=(i_1-i_2)^2+(j_1-j_2)^2\\d^2=(100-90)^2+(10-(-20))^2\\d^2=1,000\\d=31.6[/tex]
The balls are 31.6 units of length apart.
Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the number of pairs of data n and the significance level α. n = 12, α = 0.01
Answer:
[tex]t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}[/tex]
And is distributed with n-2 degreed of freedom. df=n-2=12-2=10
The significance level is [tex]\alpha=0.01[/tex] and [tex]\alpha/2 = 0.005[/tex] and for this case we can find the critical values and we got:
[tex] t_{\alpha/2}= \pm 3.169[/tex]
Step-by-step explanation:
In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:
Null hypothesis: [tex]\rho =0[/tex]
Alternative hypothesis: [tex]\rho \neq 0[/tex]
The statistic to check the hypothesis is given by:
[tex]t=\frac{r \sqrt{n-2}}{\sqrt{1-r^2}}[/tex]
And is distributed with n-2 degreed of freedom. df=n-2=12-2=10
The significance level is [tex]\alpha=0.01[/tex] and [tex]\alpha/2 = 0.005[/tex] and for this case we can find the critical values and we got:
[tex] t_{\alpha/2}= \pm 3.169[/tex]
5. A worker can do a piece of
piece of wook
in 14 days.
How much coook does he do ini day!
. How much work does he do in 7 days?
lijIt he works for 2 days and leaves,
how much work is left to finish it?
Answer:
therefore the left work of worker will be 6/7 part of work
A supplier of heavy construction equipment has found that new customers are normally obtained through customer requests for a sales call and that the probability of a sale of a particular piece of equipment is 0.15. If the supplier has four pieces of the equipment available for sale, what is the probability that it will take fewer than six customer contacts to clear the inventory?
Answer:
The probability that it will take fewer than six customer contacts to clear the inventory is 0.8%.
Step-by-step explanation:
We have a probability of making an individual sale of p=0.15.
We have 4 units, so the probability of clearing the inventory with n clients can be calculated as:
[tex]P=\dbinom{n}{4}p^4q^{n-4}=\dbinom{n}{4}0.15^4\cdot 0.85^{n-4}[/tex]
As we see in the equation, n has to be equal or big than 4.
In this problem we have to calculate the probability that less than 6 clients are needed to sell the 4 units.
This probability can be calculated adding the probability from n=4 to n=6:
[tex]P=\sum_{n=4}^6P(n)=\sum_{n=4}^6 \dbinom{n}{4}0.15^4^\cdot 0.85^{n-4}\\\\\\P=0.15^4(\dfrac{4!}{4!0!}\cdot 0.85^{4-4}+\dfrac{5!}{4!1!}\cdot0.85^{5-4}+\dfrac{6!}{4!2!}0.85^{6-4})\\\\\\P=0.15^4(1\cdot0.85^0+5\cdot0.85^1+15\cdot0.85^2)\\\\\\P=0.00051(1+4.25+10.84)\\\\\\P=0.00051\cdot16.09\\\\\\P=0.008[/tex]
Find the value of m that makes ABC~DEF when AB= 3, BC= 4, DE= 2m, EF= m+5, and ∠B≅∠E.
Answer:
m = 3
Step-by-step explanation:
It is given that there are two triangles [tex]\triangle[/tex]ABC and
[tex]\triangle[/tex]ABC ~
Also, the sides are:
AB= 3
BC= 4
DE= 2m
EF= m+5 and
∠B≅∠E
Please have a look at the attached figure for [tex]\triangle[/tex]ABC and
The triangles are similar so as per the property of similar triangles, the ratio of corresponding sides will be same.
i.e.
[tex]\dfrac{AB}{DE} = \dfrac{BC}{EF}\\\Rightarrow \dfrac{3}{2m} = \dfrac{4}{m+5}\\\Rightarrow 3 \times (m+5) = 4 \times 2m\\\Rightarrow 3m +15= 8m \\\Rightarrow 5m=15\\\Rightarrow m = 3[/tex]
So, value of m = 3.
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:
if each angle of triangle is less than the sum of of other two show that the triangle is acute angled triangle
Do all systems of linear inequalities have solutions? If not, write a system of inequalities that has no solution. What would the graph of a system of linear inequalities with no solution look like?
Answer: There are systems with no solutions, and the graphs may show two regions with no intersections (as you know, the solution set is in the intersection of the sets of solutions for each inequality)
Step-by-step explanation:
Ok, suppose that our system is:
y > x
and
y < x.
This system obviously does not have any solution, because y can not be larger and smaller than x at the same time.
The graph of y > x is where we shade all the region above the line y = x (the line is not included)
and the graph of y < x is where we sade all the region under the line y = x (the line is not included)
So we will look at a graph where we never have a region with the two shades overlapping (so we do not have a intersection in the sets of solutions), meaning that we have no solutions.
What is the slope of the line that passes through the points (9, 4) and (9,-5)?
Write your answer in simplest form.
Answer: it’s undefined or 0
Step-by-step explanation:
Answer:
Undefined
Step-by-step explanation:
Slope= (y^2-y^1)/(x^2-x^1)
(x^1,y^1) and (x^2,y^2)
(9,4) and (9,-5)
SLOPE:
(-5-4)/(9-9)
-9/0
Undefined
kinda hard to show on brainy but there you go hope this helps
Use the diagram to find the angle measures that satisfy each case. Find the measures of all four angles if 3·(m∠1+m∠3) = m∠2+m∠4.
Answer:
m∠1=45 degreesm∠2=135 degreesm∠3=45 degreesm∠4=135 degreesStep-by-step explanation:
Given that: 3(m∠1+m∠3) = m∠2+m∠4.
From the diagram:
m∠1=m∠3 (Vertical Angles)m∠2=m∠4 (Vertical Angles)Therefore:
3(m∠1+m∠1) = m∠2+m∠2
3(2m∠1)=2m∠2
Divide both sides by 2
3m∠1=m∠2
m∠1+m∠2=180 (Linear Postulate)
Therefore:
m∠1+3m∠1=180
4m∠1=180
Divide both sides by 4
m∠1=45 degrees
Since m∠1=m∠3
m∠3=45 degrees
Recall: m∠1+m∠2=180 (Linear Postulate)
45+m∠2=180
m∠2=180-45
m∠2=135 degrees
Since m∠2=m∠4
m∠4=135 degrees
Two vectors are said to be parallel if they point in the same direction or if they point in opposite directions. Part A Are these two vectors parallel? Show your work and explain. Part B Are these two vectors parallel? Show your work and explain.
Answer:
Knowing that those vectors start at the point (0,0) we can "think" them as lines.
As you may know, two lines are parallel if the slope is the same, then we can find the "slope" of the vectors and see if it is the same.
A) the vectors are: (√3, 1) and (-√3, -1)
You may remember that the way to find the slope of a line that passes through the points (x1, y1) and (x2, y2) is s = (y2 - y1)/(x2 - x1)
Because we know that our vectors also pass through the point (0,0)
then the slopes are:
(√3, 1) -----> s = (1/√3)
(-√3, -1)----> s = (-1/-√3) = (1/√3)
The slope is the same, so the vectors are parallel.
Part B:
The vectors are: (2, 3) and (-3, -2)
the slopes are:
(2, 3) -----> s = 3/2
(-3, -2)----> s = -2/-3 = 2/3
the slopes are different, so the vectors are not parallel.
∥v∥=√((6)^2+(-8)^2)=√(36+64)=√100=10. Dividing v by its magnitude, we get the unit vector u=(v/∥v∥)=(6i−8j)/10=(3/5)i−(4/5)j. Therefore, two unit vectors parallel to v are (3/5)i−(4/5)j and −(3/5)i+(4/5)j.
a. Two unit vectors parallel to v=6i−8j can be found by dividing the vector v by its magnitude. The magnitude of v can be calculated using the formula ∥v∥=√(v1^2+v2^2), where v1 and v2 are the components of v in the x and y directions, respectively. In this case, v1=6 and v2=−8. Thus,
b. To find the value of b when v=⟨1/3,b⟩ is a unit vector, we need to calculate the magnitude of v and set it equal to 1. The magnitude of v is given by ∥v∥=√((1/3)^2+b^2). Setting this equal to 1, we have √((1/3)^2+b^2)=1. Squaring both sides of the equation, we get (1/3)^2+b^2=1. Simplifying, we have 1/9+b^2=1. Rearranging the equation, we find b^2=8/9. Taking the square root of both sides, we get b=±(2√2)/3. Therefore, the value of b when v is a unit vector is b=(2√2)/3 or b=−(2√2)/3.
c. To find all values of a such that w=ai−a/3j is a unit vector, we need to calculate the magnitude of w and set it equal to 1. The magnitude of w is given by ∥w∥=√(a^2+(-a/3)^2). Setting this equal to 1, we have √(a^2+(-a/3)^2)=1. Simplifying, we get a^2+(a^2/9)=1. Combining like terms, we have (10/9)a^2=1. Dividing both sides by 10/9, we get a^2=(9/10). Taking the square root of both sides, we have a=±√(9/10). Therefore, the values of a such that w is a unit vector are a=√(9/10) or a=−√(9/10).
Learn more about vectors parallel here:
https://brainly.com/question/33613848
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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
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
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.
Find the value of expression 21-2a if a =3
Answer:
15
Step-by-step explanation:
[tex]21-2a \\a =3\\21 -2(3)\\21-6\\15[/tex]
Answer:
Step-by-step explanation:
15 im sure
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.
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
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:
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
What is the value of x to the nearest tenth?
Answer:
x ≈ 2.5
Step-by-step explanation:
Use tan∅ to solve this problem:
tan23° = x/6
x(tan23°) = x
x = 2.54685
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]
It is believed that 43% of the US population can play the piano, 28% can play the guitar, 15% can play the harmonica, 12% can play the drums, and 2% can play other instruments. You want to take a simple random sample of individuals to test this claim. What is the smallest number of people required for the sample to meet the conditions for performing inference
Answer:
The smallest sample size to satisfy the conditions is n=500.
Step-by-step explanation:
The condition for performing the inference related to the sample size is that, for all the categories, the expected success and failures in the sample are at least 10:
[tex]np\geq10\\\\n(1-p)\geq10[/tex]
The largest sample size required will be for the minimum p or (1-p).
This happens to be the proportion that can play other instruments: 2%.
Then, we can calculate the minimum sample size as:
[tex]np\geq10\\\\n(0.02)\geq10\\\\n\geq(10/0.02)\\\\n\geq500[/tex]
250
Step-by-step explanation:Remember there are 2 conditions to perform a goodness of fit chi-test:
Simple random sample: The data must come from a random sample or a randomized experiment.
Expected counts: All expected counts are at least five. You must state the expected counts.
To explain expected counts a bit better, imagine I surveyed 100 people about their ice cream preferences. Before beginning it is believed that 50% like chocolate, 47% like vanilla, and 3% like strawberry.
That means our expected counts are:
100(.50) = 50
100(.47) = 47
100(.03) = 3
This is a problem, because 3 < 5 and so we can not perform a goodness of fit chi-test.
So how do you find the minimum sample size? Use this formula:
sample size (n) * smallest proportion (p) = 5
In the context of ice cream:
n*.03 = 5
n = 5 / .03
n = 167 (because you can't interview 2/3s of a person)
In the context of the problem:
n* .02 = 5
n = 5 / 0.02
n = 250
This means we need to sample at least 250 people to meet our expected count condition.
Please answer this correctly
Answer:
sorry about that that was my sister . the correct answer is yes
Step-by-step explanation:
please mark as brainliest
make d the subjectt formula of d-7 =4d+3/e
Answer:
-3-7e/3e
Step-by-step explanation:
d - 4d=3/e +7
-3d= 3/e +7
-3d=(3+7e)/e
d=(-3-7e)/3e
6÷7 ? 7÷8 A. > B. < C. =
Answer:
B:<
Step-by-step explanation:
You can solve this question with fractions. The way I did it was by changing both equations into fractions like this: 6÷7=6/1x1/7=6/7 and 7÷8=7/1x1/8=7/8. Since they don't have a common denomintor and you still dont know which fraction is bigger/smaller, we are going to find a common denominator which is 56. After converting both fractions, (6/7=48/56 and 7/8=49/56) Now you can see that 7/8 is bigger than 6/7, which shows that 6÷7<7÷8.
If it takes 4 hours for 2 men to mow a sports field,how long would it take 6 men working at the same rate to do the job?solution plis
Answer:
4/3 hours
Step-by-step explanation:
[tex]\frac{4*2}{6}\\=\frac{8}{6} \\= 4/3 hours[/tex]
An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Suppose a sample of 1519 new car buyers is drawn. Of those sampled, 425 preferred foreign over domestic cars. Using the data, estimate the proportion of new car buyers who prefer foreign cars. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
The proportion of new car buyers who prefer foreign cars is 425/1519 = 0.280.
Step-by-step explanation:
The proportion of new car buyers who prefer foreign cars can be estimated from the sample proportion.
The sample results tells us that 425 out of 1519 preferred foreign cars over domestic cars.
Then, we can calculate the sample proportion as:
[tex]p=\dfrac{425}{1519}=0.280[/tex]
The proportion of new car buyers who prefer foreign cars is 425/1519 = 0.280.