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3 years ago

HELP me on this please

Mathematics

1 answer:

Rzqust [24]3 years ago

6 0

Answer:

angle FEA is 100°

angle AEC is 20°

angle CEG is 60°

Step-by-step explanation:

angle AEC=angle DEB=20°

angle AEG=angle FED=80°

80°-20°=60°; angle CEG=60°

angle FEA+angle AEC+ angle CEG=180°

angle FEA=100°

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A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip upstream took 14 hours. What is the s

Alexeev081 [22]

x - boat speed; y - current speed; Path = 336:2 = 168 miles

1) 12 * (x + y) = 168; -> x + y = 14;

2) 14 * (x - y) = 168; -> x - y = 12;

1) x = 14 - y;

2) (14 - y) - y = 12;

14 - 2y = 12;

2y = 2;

y = 1 mph

x = 14 - 1 = 13 mph

Answer:

Boat speed = 13 mph

Current speed = 1 mph

3 0

3 years ago

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

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

So, 96% confidence interval for the population mean, $\mu$ is ;

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

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

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

= [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

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each

Over [174]

Answer:

It's 20 Pounds btw.

Step-by-step explanation:

7+0.20x = 5+ 0.30x

x- number of additional pounds

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3 years ago

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There are 8 ounces in 1 cup. The table shows some conversions between ounces and cups. Which equation describes how to convert b

ipn [44]

Answer:

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3 years ago

Does anyone know this it sounds simple but there is usually something else to it so I’m not sure.

Artist 52 [7]

16 because 8 rooms have 8-11, 5 rooms have 4-7, and 3 rooms have 0-3 guests.

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3 years ago

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