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4 years ago

The least common multiple of 2, 5, 6, and 9 is

Mathematics

2 answers:

Fudgin [204]4 years ago

8 0

90

Hope this helps : )

tangare [24]4 years ago

7 0

90 because that's the smallest number they all go into.

90/2 = 45
90/5 = 18
90/6 = 15
90/9 = 10

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Ken normally leaves work at 5:00 pm, but he is leaving 20 minutes late today. He decides to make up time by taking the toll road

kobusy [5.1K]

Answer:

The correct answer is: $y=\frac{1}{3} x + 20$

Step-by-step explanation:

As stated in the question that x represents the number of minutes his normal commute takes. Here the keyword is normal; in the normal commute, Ken takes side streets instead of the toll road.

However, in this scenario, we have to come up with the equation that takes Ken's commute via toll road.

Ken can travel 3 times faster by taking the toll road (Given), which can be represented in the mathematical terms in terms of x as follows:

$x_{toll\_road}=\frac{1}{3}x$

Without considering Ken getting late, the equation would become the following:

$y=\frac{1}{3} x$ --- (A)

As Ken is leaving late, we have to incorporate that time as well by adding it in the aforementioned equation (A).

In this case, it's 20 minutes; therefore, the equation (A) will become:

$y=\frac{1}{3} x+20$

Hence, the correct answer is $y=\frac{1}{3} x + 20$ .

4 0

4 years ago

Plz solve my problem.any how

Paha777 [63]

This was too long for me to write on the computer.

So I wrote it and took a picture.

If you have any questions, please don't hesitate to ask in the comments.

6 0

3 years ago

WILL MARK BRAINLEST HELP ASAP!!!!!

astra-53 [7]

Answer:

Area of the rectangle is 10x²+7-6

Step-by-step explanation:

Area of rectangle is the product of its length and width

As length of given rectangle is 5x+6 and its width is 2x-3 the are is

(5x+3)(2x-3)

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5 0

4 years ago

Read 2 more answers

A sample of 16 cookies is taken to test the claim that each cookie contains at least 9 chocolate chips. The average number of ch

alexandr1967 [171]

Answer:

(a) The value of z test statistics is -2.25.

(b) At 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

(c) The p-value for this test statistic is 0.0122.

(d) We conclude that the average number of chocolate chips in all the cookies is less than 9.

Step-by-step explanation:

We are given that a sample of 16 cookies is taken to test the claim that each cookie contains at least 9 chocolate chips.

The average number of chocolate chips per cookie in the sample was 7.875. The standard deviation of the population is 2.

Let $\mu$ = the average number of chocolate chips in all the cookies.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 9 {means that the average number of chocolate chips in all the cookies is at least 9}

Alternate Hypothesis, $H_A$ : $\mu$ < 9 {means that the average number of chocolate chips in all the cookies is less than 9}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean number of chocolate chips per cookie = 7.875

$\sigma$ = population standard deviation = 2

n = sample of cookies taken = 16

So, the test statistics = $\frac{7.875-9}{\frac{2}{\sqrt{16} } }$

= -2.25

(a) The value of z test statistics is -2.25.

(b) Now, at 0.05 significance level the z table gives critical value of -1.645 for left-tailed test.

Since our test statistic is less than the critical value of z as -2.25 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

(c) The P-value of the test statistics is given by;

P-value = P(Z < -2.25) = 1 - P(Z $\leq$ 2.25)

= 1 - 0.9878 = 0.0122

(d) Therefore, we conclude that the average number of chocolate chips in all the cookies is less than 9.

8 0

3 years ago

Find the minimum y-value on the graph y=f(x) f(x)= x^2+4x-5

djverab [1.8K]

There are two ways to solve the problem: using calculus and algebra. For this, I'll be using the algebraic way. The function is parabolic, thus the minimum value is the ordinate of the vertex. Using completing the square, we could get the vertex of the parabola.

y = x^2 + 4x - 5y = x^2 + 4x + 4 - 5 - 4y = (x + 2)^2 - 9Vertex is (-2, -9).

Therefore, the minimum value is -9.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

8 0

4 years ago