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Inessa05 [86]
3 years ago
5

A 10-foot ladder leans against a wall with its foot braced 3 feet from wall’s base. How far up the wall does the ladder reach? S

how your work. Round answer to the nearest hundredths. IF THE PICTURE IS NOT UP JUST RELOAD THE PAGE PLEASE!

Mathematics
2 answers:
viva [34]3 years ago
8 0
13ft because the length that the object is tilted plus the height it is when its leaning equals the acctual length

anygoal [31]3 years ago
3 0
This is a right-angled triangle and then you can apply a^2+b^2 = c^2
100 = 9 + wallup^2 --> wallup^2 = 91 --> wallup = 9.53939 --> 9.54
Hope this helped.

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Which percent is represented by the diagram below? 2 area models with 100 squares. In the first model, 100 squares are shaded. I
olga_2 [115]

Answer:

125%

Step-by-step explanation:

5 0
3 years ago
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A survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 sen
tatyana61 [14]

Answer:

96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

Step-by-step explanation:

We are given that a survey was conducted to determine the average age at which college seniors hope to retire in a simple random sample of 101 seniors, 55 was the  average desired retirement age, with a standard deviation of 3.4 years.

Firstly, the Pivotal quantity for 96% confidence interval for the population mean is given by;

                         P.Q. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average desired retirement age = 55 years

            \sigma = sample standard deviation = 3.4 years

            n = sample of seniors = 101

            \mu = true mean retirement age of all college students

<em>Here for constructing 96% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.</em>

<u>So, 96% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-2.114 < t_1_0_0 < 2.114) = 0.96  {As the critical value of t at 100 degree

                                               of freedom are -2.114 & 2.114 with P = 2%}  

P(-2.114 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 2.114) = 0.96

P( -2.114 \times {\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 2.114 \times {\frac{s}{\sqrt{n} } } ) = 0.96

P( \bar X-2.114 \times {\frac{s}{\sqrt{n} } } < \mu < \bar X+2.114 \times {\frac{s}{\sqrt{n} } } ) = 0.96

<u>96% confidence interval for</u> \mu = [ \bar X-2.114 \times {\frac{s}{\sqrt{n} } } , \bar X+2.114 \times {\frac{s}{\sqrt{n} } } ]

                                           = [ 55-2.114 \times {\frac{3.4}{\sqrt{101} } } , 55+2.114 \times {\frac{3.4}{\sqrt{101} } } ]

                                           = [54.30 , 55.70]

Therefore, 96% confidence interval for desired retirement age of all college students is [54.30 , 55.70].

7 0
3 years ago
5 qt= _ gal _ qt<br> Plz answer
nekit [7.7K]

Answer:

5 quarts equals <u> </u><u>1</u><u> </u> gallon & <u> </u><u>1</u><u> </u> quart

4 0
2 years ago
Convert .2 to a fraction
shepuryov [24]

.2 converted to a fraction would be 1/5

3 0
3 years ago
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Simplify the algebraic expression -5(6x)
WINSTONCH [101]

Answer:

-30x

Step-by-step explanation:

The parenthesis is just to multiply, and you can combine like terms. So -5*6=-30, which you multiply with x to get -30x.

5 0
3 years ago
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