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Akimi4 [234]
2 years ago
14

Can I get some help plz thank u sm

Mathematics
1 answer:
weeeeeb [17]2 years ago
5 0

Answer:

x = 72

hope it helps

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Please help! Thanks! Show work!
geniusboy [140]
Answer: The toy should be 2.4 inches tall

------------------------------------
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Explanation:

First convert 6 ft to inches
6 ft = (6 ft)*(12 in/1 ft) = (6*12) inches = 72 inches

So, 6 ft = 72 inches

The toy is manufactured with a scale of 1:30 meaning that the toy is 1 unit tall compared to the soldier which is 30 units tall. The soldier is 30 times taller than the toy. We can therefore form the ratio

1/30 = x/72

where x is the height of the toy soldier in inches

Cross multiply and solve for x

1/30 = x/72
1*72 = 30*x
72 = 30*x
72/30 = 30*x/30
72/30 = x
x = 72/30
x = 12/5
x = 2.4

So the toy should be 2.4 inches tall.

Note how 30 times 2.4 gives us
30*2.4 = 72
which fits with the theme that the real soldier is 30 times taller than the toy counter part.


3 0
3 years ago
The local public transport authority is conducting research into commuter behaviour. A previous census indicated that the mean c
kondor19780726 [428]

Answer:

H_0:\mu  = 45 and H_a:\mu  < 45

T = 34.88

The null hypothesis is not rejected

Step-by-step explanation:

Given

Random sample of 50 commuter times

Solving (a): The null and alternate hypothesis

From the question, a previous census shows that:

\mu =45 and \sigma= 9.1

This is the null hypothesis i.e.

H_0:\mu  = 45

Reading further, a new test was to show whether the average has decreased.

This is the alternate hypothesis, and it is represented as:

H_a:\mu  < 45

Solving (b) and (c): The test statistic (T).

This is calculated using:

T = \frac{\mu}{\sigma/\sqrt n}

In this case:

n = 50   \mu =45 and \sigma= 9.1

So:

T = \frac{45}{9.1/\sqrt{50}}

T = \frac{45}{9.1/7.07}

T = \frac{45}{1.29}

T = 34.88

Solving (c): Accept or reject null hypothesis

\alpha = 0.05

First calculate the degrees of freedom (df)

df = n - 1 = 50 - 1

d f = 49

From the t distribution table,

At: d f = 49,  \alpha = 0.05 and T = 34.88

the t score is:

p = 1.676

p > 0.05

<em>So, the null hypothesis is not rejected</em>

7 0
2 years ago
What is the equation of the line that passes through the point (5,3) and has a slope<br> of?
klio [65]

Answer:

slope=2

I think that you can use demos it is a calculator just put the point and you get the answer

7 0
2 years ago
What do a decimal number and a thumbtack have in common
Natalka [10]
They are round 
that would be your best answer
5 0
3 years ago
Find slope given the graph of a line on a grid
Alborosie
Slope is rise over run or Y2 - Y1 divided X2 - X1. The X's and Y's are your coordinate points. It doesn't matter which Y you put down first but remember to choose the X in the same place. Your coordinate points are (0, -1) and (-4, 2)

Your equation will be:

-1 - 2 / 0 - (-4)
-3 / 0 + 4
-3 / 4
Your slope is negative 3/4
6 0
2 years ago
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