14. A boy completes a 100 m circular track race in 5 min. Another boy runs in the same
time
completes the race in 6 minutes. If they start from the same point then after how many
will they meet at the starting point
Find the smallest 3-digit number which is exactly divisible by 5.10 and 20​

Answers

Answer 1

Answer:

ee

Step-by-step explanation:


Related Questions

Find the area of the figure.
6 in.
6 in.
8 in.
4 in.

Answers

Answer:

92 inches squared

Step-by-step explanation:

6x6=36

4x(8+6)=56

56+36=92

A. 93
B. 57
C. 132
D. 123

Answers

Answer:

B

Step-by-step explanation:

The interior angles of a triangle always add up to 180 degrees.

We have two angles already and they add up to 60+63=123 degrees

180-123=57

so the remaining angle is 57 degrees

9514 1404 393

Answer:

  D.  123°

Step-by-step explanation:

The external angle is equal to the sum of the remote internal angles.

  m∠1 = 60° +63°

  m∠1 = 123°

Sade used the two blocks pictured to build a tower. What is the TOTAL VOLUME of the two blocks for this entire tower? * ​

Answers

Answer: V=120

have an amazing day <3

Answer:what is the answer i dont understand

plz help

I WILL GIVE BRANLIY IF YOU ARE RIGHT

Answers

Answer:

B

Step-by-step explanation:

Answer:

9%

Step-by-step explanation:

Estimate 719 – 274. Round each number first.

Answers

☁️Answer☁️

719 rounded up equals 720
274 rounded down equals 270

720-270= 450

If 2 dice were rolled 180 times, how many times would you expect to get the sum of 11? PLEASE HELLLLLPPPPP ASAP!​

Answers

Answer:

The answer is 5 times

Step-by-step explanation:

1/6*1/6*180=5

saniyah collected a total of 9 seashells she gave 1/3 to her sis how many seashells did Saniyah have left?

Answers

Answer: The answer is 3.

Step-by-step explanation: You would multiply 9x1/3 which would give you 3. If you want to understand even better here's how to do so: Put 3(the answer that you got from multiplying 9x1/3) into the fraction 1/3 as 1. In other words,  it would look something like this 3/3. Then, just multiply the two numbers 3x3 and that equals 9, the number you started with.

Hope that this helped!!:)

Considering the provided information in the given question, we have :

Total seashells Saniyah have = 9Number of seashells Saniyah gave to her sister = [tex]\sf \dfrac{1}{3} [/tex] of total.

We need to find how many seashells did Saniyah have left.

⇒ Number of seashells Saniyah have left = Total seashells – Number of seashells she gave to her sister

⇒ [tex] \sf {Left \: seashells = 9 - \Bigg \lgroup \dfrac{1}{3} \times 9 \Bigg \rgroup } [/tex]

⇒ [tex] \sf {Left \: seashells = 9 - \Bigg \lgroup 1 \times 3 \Bigg \rgroup } [/tex]

⇒ Left seashells = 9 – 3

⇒ Left seashells = 6

Therefore, Saniyah have left [tex] \bf {6 \: seashells } [/tex].

he first date went well. You are still dating the same person and still looking for a great person to spend your life with. You are cautiously moving forward with the relationship and know that if they are a great match, their likelihood of being kind to animals is 0.9 whereas their likelihood of being kind to animals if they are not a great match is 0.7. You see that your prospective spouse is kind to animals. What is the probability that they are a great match now?

Answers

Answer:

0.125 = 12.5% probability that they are a great match now.

Step-by-step explanation:

To solve this question, we need the probability of a person being a great match, which i will use 0.1.

This question is solved using conditional probability.

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Is kind to animals.

Event B: Is a great match.

Probability of being kind to animals:

0.9 of 0.1(Is a great match).

0.7 of 1 - 0.1 = 0.9(is not a great match). So

[tex]P(A) = 0.9*0.1 + 0.7*0.9 = 0.72[/tex]

Probability of being kind to animals and a great match:

0.9 of 0.1. So

[tex]P(A \cap B) = 0.9*0.1 = 0.09[/tex]

What is the probability that they are a great match now?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]

0.125 = 12.5% probability that they are a great match now.

The traffic flow rate (cars per hour) across an intersection is
r
(
t
)
=
300
+
600
t

90
t
2
, where
t
is in hours, and
t
=0 is 6am. How many cars pass through the intersection between 6 am and 9 am?

Answers

Answer:

990 cars

Step-by-step explanation:

Find how many cars pass through at 6am, t=0:

r(0)= 300+600(0)-90(0²) = 300

Find how many cars pass through at 9am, t=3:

r(3)= 300+600(3)-900(3²)=300+1800-810=1290

Find the difference (how many cars pass between 6am and 9am): 1290-300=990

According to a report in USA Today (February 1, 2012), more and more parents are helping their young adult children get homes. Suppose 8 persons in a random sample of 40 young adults who recently purchased a home in Kentucky got help from their parents. You have been asked to construct a 95% confidence interval for the population proportion of all young adults in Kentucky who got help from their parents. You have been asked to construct a 95% confidence interval for the population proportion of all young adults in Kentucky who got help from their parents. What is the margin of error for a 95% confidence interval for the population proportion?

a.1.645(0.0040)
b.1.645(0.0632)
c.1.96(0.0040)
d.1.96(0.0632)

Answers

Answer:

d.1.96(0.0632)

Step-by-step explanation:

The margin of error for a 95% confidence interval for the population proportion calculated as below:

Given that x = 8

n = Size of the sample = 40 (Large sample)

Sample population: P=x/n = 8/40 = 0.2; q = 1-p = 0.8

Standard error = [tex]\sqrt{pq/n}[/tex] = [tex]\sqrt{0.2(0.8)}/40[/tex] = 0.0682

95% of confidence Z∝ = 1.96

Margin of Error = Z∝ .[tex]\sqrt{pq/n}[/tex]

Margin of Error = 1.96(0.0682)

So, therefore, option d is correct.

20 POINTS!!!!!!!The monthly salary of an employee with 33 hours of training can be written as

Answers

Answer:

D-Salary(33) or S(33)

D is correct hope this helps

2 x - 3 / 5 = - 1 / 10

Answers

Answer:

1/4

Step-by-step explanation:

2x=-1/10 + 3/5

2x=1/2

x=1/4

the final game is altered. bag one 5 red balls

Answers

Answer:

what are you talking about

Step-by-step explanation:

Answer:

five red balls one bag

A number cube has faces 1 through 6. How many of the number on the cube are composite?


A. 1

B. 2

C. 3

D. 4

Answers

Answer:

B) 2 numbers

Step-by-step explanation:

composite #'s:  4, 6

prime #'s:  2, 3, 5

neither composite nor prime:  1

Check the pic
please explain

Answers

Answer:

Option C

Step-by-step explanation:

From the picture attached,

In ΔABC,

m∠BAC + y° = 180° [Linear pair of angles are supplementary]

m∠BAC = 180° - y°

m∠ABC = x° [Vertically opposite angles]

m∠ACB = z° [Vertically opposite angles]

By triangle sum theorem,

m∠BAC + m∠ABC + m∠ACB = 180°

(180 - y)° + x° + z° = 180°

x - y + z = 180 - 180

x - y + z = 0

Option C will be the answer.

A recent survey reported that small businesses spend 24 hours a week marketing their business. A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing. The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week. Assuming that the population standard deviation is 5.5 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.02 level of significance?
Step 1 of 3 :
State the null and alternative hypotheses for the test. Fill in the blank below.
H0: μ=24
Ha: μ ____ 24
Step 2 of 3:
What is the test statistic?
Step 3 of 3:
Do we reject the null hypothesis? Is there sufficient or insufficient evidence?

Answers

Answer:

Ha: μ < 24

The test statistic is z = -1.75.

The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.

Step-by-step explanation:

A recent survey reported that small businesses spend 24 hours a week marketing their business.

This means that the null hypothesis is:

[tex]H_0: \mu = 24[/tex]

A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing.

This means that the alternate hypothesis is:

[tex]H_a: \mu < 24[/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.

24 is tested at the null hypothesis:

This means that [tex]\mu = 24[/tex]

The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week.

This means that [tex]n = 93, X = 23[/tex]

The population standard deviation is 5.5 hours

This means that [tex]\sigma = 5.5[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{23 - 24}{\frac{5.5}{\sqrt{93}}}[/tex]

[tex]z = -1.75[/tex]

The test statistic is z = -1.75.

Do we reject the null hypothesis? Is there sufficient or insufficient evidence?

The pvalue of the test is the probability of finding a sample mean below 23, which is the pvalue of z = -1.75.

Looking at the z table, z = -1.75 has a pvalue of 0.0401

The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.

betty closes the nozzle and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 14 cubic inches per minute, how long will it take for all the liquid in the nozzle to pass through(Use Pi = 3.14​

Answers

Answer:

4.71 minutes

Step-by-step explanation:

Incomplete question [See comment for complete question]

Given

Shape: Cone

[tex]r = 3[/tex] -- radius

[tex]h = 7[/tex] --- height

[tex]Rate = 14in^3/min[/tex]

Required

Time to pass out all liquid

First, calculate the volume of the cone.

This is calculated as:

[tex]V = \frac{1}{3} \pi r^2h[/tex]

This gives:

[tex]V = \frac{1}{3} * 3.14 * 3^2 * 7[/tex]

[tex]V = \frac{1}{3} * 197.82[/tex]

[tex]V = 65.94in^3[/tex]

To calculate the time, we make use of the following rate formula.

[tex]Rate = \frac{Volume}{Time}[/tex]

Make Time the subject

[tex]Time= \frac{Volume}{Rate }[/tex]

This gives:

[tex]Time= \frac{65.94in^3}{14in^3/min}[/tex]

[tex]Time= \frac{65.94in^3}{14in^3}min[/tex]

Cancel out the units

[tex]Time= \frac{65.94}{14} min[/tex]

[tex]Time= 4.71 min\\[/tex]

Answer:

The time it will take for all the liquid to pass through is 4.71 minutes.

-Don't worry it's been already verified by myself .

Please assist me with this two column proof. Part 1A

Answers

Answer:

Answer is in the step by step explanation

Step-by-step explanation:

Since we are given parallel lines, we know <BCA is congruent to <DAC because of alternate interior angles

Then AC is congruent to AC, that's reflexive prop

Now we have SAS, so Tri. ABC cong to tri. CDA,

Then you're done

Answer:

Step-by-step explanation:

BC = AD                           Given

<BCA = <CAD                  Alternate interior angles of parallel lines cut by a transversal.

AC = AC                           That's the reflexive property. A line is equal to itself

Triangle BCA = Triangle CAD    SAS

Notice that the angle is included inside the two lines that define it (the angle). That's a very important consideration when using SAS. SAA doesn't always work. You can draw exceptions. SAS has no exceptions. It always works.

Analysis of the venom of seven eight-day-old worker bees yielded the following observations on histamine content in nanograms: 649, 832, 418, 530, 384, 899, 755.
(a) Construct by band a 90% CI for the true mean histamine content for all worker bees of this age. What assumptions, if any, are needed for the validity of the CI?
(b) The true mean histamine content will be in the CI you constructed in part (a) with probability 90%. True or false?
(c) Find the confidence level of the CI (418, 832) for the population median histamine content.

Answers

Answer:

a.

• The population is normally distributed

• The 7 subjects represent a random sample from this population

b. True

c. 74.16%

Step-by-step explanation:

on using data [649, 832, 41 8, 530, 384, 899, 755] (please correct if wrong)

sample mean: 638.143

s: 201.72

Sample Mean = 638.143

SD = 201.72

Sample Size (n) = 7

Standard Error (SE) = SD/root(n) = 76.243

alpha (a) = 1-0.9 = 0.1

we use t-distribution as population standard deviation is unknown t(a/2, n-l ) = 1.9432

Margin of Error (ME) = SE = 148.1554

90% confidence interval is given by: Sample Mean +/- (Margin of Error) 638.143 +/- 148.1554 = (489.9876 , 786.2984)

• The population is normally distributed

• The 7 subjects represent a random sample from this populatio

(b) true, this is the definition of Cl

(c) (41 8, 432) has width = 14

hence, Margin of error = 7

sorted data is 384, 418, 530, 649, 755, 832, 899

Here 418 and 432 are 2nd and 6th entry of sample size of 7

Since median is given by (1 + n/2 + z(alpha/2)*sqrt(n) /2 )th entry on the right, we conclude that 1 + (3.5 + this gives z = 1.1339 ==> alpha = 0.2584

Hence this Cl is of 74.16% (approximately)

Note that your course might have given a different formula for calculating Cl medians from sample.

Please answer this and I will give brainliest

Answers

Answer:

D is the right answer [(2f+2) / 2(s^3) ]

Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received
c fewer cookies than she would have received had all of the cookies been evenly divided among the 8
grandchildren.
ining
How many cookies did Cindy receive?
Write your answer as an expression.

Answers

Answer:

12-c

Step-by-step explanation:

This is quite simple

We know grandma has made 96 cookies and IF all children 8 receive equal cookies

They would have 12 cookies each

Cindy got c less cookies

so we can say

12-c is what Cindy got

I guess grandma got hungry

Answer:

Step-by-step explanation:

98 = 8 = 12

cindy cookies = 12-c

Question 8
Which property justifies the fact that 5(x - 2) is equivalent to 5x - 10?
commutative
associative
O distributive

Answers

It would be distributive since you distributed the 5 to x and -2.

5*x = 5x and 5*-2 = -10

Male and female teachers were asked whether they preferred to use a whiteboard or a projector while teaching. The responses are summarized in the table. Projector Whiteboard Total Male 22 10 32 Female 28 15 Total 25 75 What is the approximate probability that a teacher prefers projectors and is female?

Answers

Answer: c is the answer

C: 0.560

Step-by-step explanation:

Will give brainliest

Answers

Answer: Because the question uses the word “distinct” meaning obvious, and clear, I would select AB, AC, CB. (If it’s asking for all the possible line segments, I would select AB, AC, CB, BA, CA, BC).

Choose the equation where b=6 is a solution. 11- b = 6 b + 4 = 9 8b = 48 63 b = 9

Answers

Answer:

8b = 48

Step-by-step explanation:

this is because you would substitute the b for the 6 and then multiply straight across giving you a total of 48.

Answer:

8b = 48

Step-by-step explanation:

8 x 6 = 48

Fiona has $998 in her savings account. If the bank pays 2.5% simple interest on savings, how much does she earn in one year?

A.
$24.95

B.
$399.20

C.
$2,495

D.
$294.86

Answers

The answer would be A: $24.95
Answer is A. $24.95

I just multiple 998 by 0.025 to get 24.95

2.5%=0.025

Tinisha is planning a birthday party. She can buy:
10 balloons, 8 cupcakes, and 8 hats for $50
5 balloons, 9 cupcakes, and 7 hats for $46, or
12 balloons, 7 cupcakes, and 9 hats for $51
Using b for the number of balloons, c for the number of cupcakes, and h for
the number of hats, write a system of equations to represent this situation.

Answers

Answer:

b+c+h=50

Step-by-step explanation:

Its the first one because you need to have the same amount of hats as cupcakes cause the hat really stands for people.

Perform the indicated operations and reduce to lowest terms. Assume that no denominator has a value of zero. ​

Answers

Answer:

[tex]\frac{x}{9}[/tex]

Step-by-step explanation:

Given

[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]

Required

Solve

[tex]\frac{x^2 - 9}{9x + 27} \div \frac{x - 3}{x}[/tex]

Change the division to multiplication

[tex]\frac{x^2 - 9}{9x + 27} * \frac{x}{x - 3}[/tex]

Apply difference of 2 squares

[tex]\frac{(x - 3)(x+3)}{9x + 27} * \frac{x}{x - 3}[/tex]

Cancel out x - 3

[tex]\frac{x+3}{9x + 27} * \frac{x}{1}[/tex]

Factorize 9x + 27

[tex]\frac{x+3}{9(x + 3)} * \frac{x}{1}[/tex]

Cancel out x + 3

[tex]\frac{1}{9} * \frac{x}{1}[/tex]

Finally, this gives:

[tex]\frac{x}{9}[/tex]

Dan bought 20 bunches of seedless green grapes for $48. How many bunches can Kali buy if she has $12?

5

29

4

6​

Answers

Answer:

48/20=2.4

12/2.4=5

Step-by-step explanation:

Kai can buy 5 bunches of grapes if she has $12.

Answer:

It's 29.

Step-by-step explanation:

48/20=2.4

12x2.4=28.8

Round up to 29.

Help me please!
Consider the function f(x) = V2x – 4. Iff-'(x) is the inverse function of f(x), find
f-16)

Answers

Answer:

[tex]f^{-1}(6) = 50[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sqrt{2x} - 4[/tex]

Required

Find [tex]f^{-1}(6)[/tex]

First, we calculate the inverse function

[tex]f(x) = \sqrt{2x} - 4[/tex]

Express f(x) as y

[tex]y = \sqrt{2x} - 4[/tex]

Swap the positions of x and y

[tex]x = \sqrt{2y} - 4[/tex]

Solve for y: Add 4 to both sides

[tex]4 + x = \sqrt{2y} - 4+4[/tex]

[tex]4 + x = \sqrt{2y}[/tex]

Square both sides

[tex](4 + x)^2 = 2y[/tex]

Divide both sides by 2

[tex]y = \frac{(4 + x)^2}{2}[/tex]

Express y as an inverse function

[tex]f^{-1}(x) = \frac{(4 + x)^2}{2}[/tex]

Next, solve for: [tex]f^{-1}(6)[/tex]

Substitute 6 for x

[tex]f^{-1}(6) = \frac{(4 + 6)^2}{2}[/tex]

[tex]f^{-1}(6) = \frac{(10)^2}{2}[/tex]

[tex]f^{-1}(6) = \frac{100}{2}[/tex]

[tex]f^{-1}(6) = 50[/tex]

Other Questions
Which two minerals can be scratched by a knife but not copper coin? What is a major responsibility or duty of a citizenliving in a democratic country?A. WorkingB. VotingC. PurchasingD. Education Which of the following BEST explains why Japan has a high gross domestic product when it has few natural resources?A.Japan has placed tariffs on foreign goods which allows consumers to pay lower prices because goods are produced domestically.B.Japan can purchase many goods internationally to make up for their lack of natural resources.C.Japan relies on natural resources found in the ocean to make up for its lack of resources on land.D.Japan has invested in capital goods and human resources to make it a larger producer of finished goods for trading. BRAINIEST TO WHOEVER RIGHT which of the following elements has the highest electronegativity?A) oxygenB) nitrogen C) carbonD) boron Question 81 ptsWrite the equation of a line that passes through the point (-5,-4) and hasa slope of 1/5.O y = 0.2x + 3O y = 0.2x - 3O y=-3x -0.2O y = 0.2x - 4< PreviousNext how market forces would act to return the market to state of equilibrium at the new equilibrium position. Show all possible arrangements of the letters in the word FRED using a tree diagram. If each of the letters is on a tile and drawn at random , what is the probability that you will draw the letters F-R-E-D in that order? What is the climate of the continental shelf? Pls help !!!! In this excerpt from the Emancipation Proclamation, which phrase or sentence supports the claim that President Lincoln did not want the slaves to take up arms against their former masters? explain three main steps in mail merging (6 marks) it takes four jars of in to record the store's inventory for 12 weeks at that rate how many jars of ink do you need to keep track of inventory for 33 weeks Calculate the area of each shape below. Figures are not drawn to scale. Using an appropriately designed and analyzed study, a researcher observes a p-value of 0.010000. Consider the following propositions: PROPOSITION ONE: At the 5% significance level, the appropriate decision is to reject the null hypothesis; PROPOSITION TWO: At the 1% significance level, the appropriate decision is to reject the null hypothesis.a. PROPOSITION ONE is true and PROPOSITION TWO is trueb. PROPOSITION ONE is true and PROPOSITION TWO is falsec. PROPOSITION ONE is false and PROPOSITION TWO is trued. PROPOSITION ONE is false and PROPOSITION TWO is falsee. None of the above It is desired to estimate the average weight of a new born baby. The birth records of arandom sample of 60 babies' weights showed a mean of 7.0 lbs and standard deviation of 1.5 lbs.Construct a 95% confidence interval for. the average of three numbers is 15. two of them numbers are 17 and 14 . what is the third number?, Does zoning allow factories, or buildings above a certain height, in your community or neighborhood? What kinds of businesses are allowed? Sandra can run 3 miles in 20 minutes. How many minutes will it take her to run 7 miles? Help please................. Pls help with this question! Its due today!