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2 years ago

I have trouble understanding word problems. May I please have help with number 15? Thank you very much!

Mathematics

1 answer:

guapka [62]2 years ago

5 0

Basically you do fractions side by side. so, 6/3=15/h and then cross multiply to get your answer so that would give you 3h=80, then divide 80÷3

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In the 2006 Winter Olympics, Sweden won 3 medals more than China. Germany

muminat

Germany secured 29 medals

Step-by-step explanation:

In the 2006 Winter Olympics

Sweden won 3 medals more than China
Germany secured one more than twice the number of medals bagged by Sweden
54 medals were won in all

We need to find how many medals did Germany secure

Assume that x represents the number of medals that Sweden won

∵ Sweden won x medals

∵ Sweden won 3 medals more than China

- That means chine won 3 medals less than x

∴ China won = x - 3 medals

∵ Germany secured one more than twice the number of

medals bagged by Sweden

- That means multiply x by 2 and add 1

∴ Germany secured = 2x + 1 medals

∵ 54 medals were won in all

- That means add the number of medals of the 3 countries

and equate the sum by 54

∵ x + (x - 3) + (2x + 1) = 54

- Add like terms in the left hand side

∴ (x + x + 2x) + (-3 + 1) = 54

∴ 4x - 2 = 54

- Add 2 to both sides

∴ 4x = 56

- Divide both sides by 4

∴ x = 14

∵ Germany secured 2x + 1

- Substitute the value of x by 14

∴ Germany secured ⇒ 2(14) + 1 = 28 + 1 = 29

Germany secured 29 medals

Learn more:

You can learn ore about the word problems in brainly.com/question/10557938

#LearnwithBrainly

7 0

3 years ago

A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below

jok3333 [9.3K]

Answer:

The value of the test statistic = 2.58

Test statistic Z = - 4.805

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

There is significant difference between in the mean number of times men and women send a Twitter message in a day

Step-by-step explanation:

Step(i):-

Sample size of men n₁ = 25

mean of the first sample x₁⁻ = 20

Standard deviation of the first sample σ₁ = 5

Sample size of women n₂ = 30

mean of the second sample x₂⁻ = 30

Standard deviation of the first sample σ₂ = 10

Level of significance ∝= 0.01

<u>Step(ii)</u>:-

Null Hypothesis : H₀: There is no significant difference between in the mean number of times men and women send a Twitter message in a day

Alternative Hypothesis :H₁:There is significant difference between in the mean number of times men and women send a Twitter message in a day

Test statistic

$Z = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S.D_{1} ^{2} }{n_{1} }+\frac{ S.D_{2} ^{2}}{n_{2} } } }$

$Z = \frac{20 - 30 }{\sqrt{\frac{(5)^{2} }{25 }+\frac{ (10)^{2} }{ 30} } }$

Z = $\frac{-10}{2.081} = - 4.805$

The value of the test statistic = 2.58 C

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

<u>Conclusion:</u>-

There is significant difference between in the mean number of times men and women send a Twitter message in a day

7 0

2 years ago

How do I factorise 42x-18

ikadub [295]

6 (7x - 3)

You have to factor 6 out of 42x - 18.

Hope this Helps!!

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3 years ago

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Johnny needs to determine the height of each tree on his tree farm.he knows that the height of the tree,h feet,is directly propo

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Do 5 divided by 8 to get 0.625 feet of shadow per foot of the height of the tree, which is your answer

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2 years ago

Use inductive reasoning to find the next term in the sequence 0, 1, 1, 2, 3, 5, 8 … What is the next term?

Anna007 [38]

13, each term is the sum of two preceding ones.

6 0

3 years ago