In ΔABC, m∠CAB=60° and AD is angle bisector with D∈BC and AD = 8ft. Find the distances from D to the sides of the triangle.

Ronch [10]

*You could use a calculator
50 times 50 times 50 times 20 equals 2500000
Your answer is 2500000

6 0

3 years ago

Read 2 more answers

It is advertised that the average braking distance for a small car traveling at 65 miles per hour equals 122 feet. A transportat

madreJ [45]

Complete Question

The complete question is shown on the first uploaded image

Answer:

the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

The test statistics is $t = - 1.761$

The p-value is $p = P(Z < t ) = 0.039119$

so

$p \ge 0.01$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 122$

The sample size is n= 38

The sample mean is $\= x = 116 \ feet$

The standard deviation is $\sigma = 21$

Generally the null hypothesis is $H_o : \mu = 122$

the alternative hypothesis is $H_a : \mu \ne 122$

Generally the test statistics is mathematically evaluated as

$t = \frac { \= x - \mu }{\frac{ \sigma }{ \sqrt{n} } }$

substituting values

$t = \frac { 116 - 122 }{\frac{ 21 }{ \sqrt{ 38} } }$

$t = - 1.761$

The p-value is mathematically represented as

$p = P(Z < t )$

From the z- table

$p = P(Z < t ) = 0.039119$

So

$p \ge 0.01$

4 0

3 years ago

Randy has to raise $50.00 to repair his bicycle. He is only $1.00 short. He has only $1 and $5 bills. If he has one more $1 bill

Nezavi [6.7K]

Answer:

Randy has eight $5 bills and nine $1 bills

Step-by-step explanation:

Randy needs $50.00

And we know that he his only $1.00 short, so he has $49.00

let's define:

x = number of $1 bills that he has

y = number of $5 bills that he has.

then:

x*$1 + y*$5 = $49

We know that he has one more $1 bills than $5 bills.

we can write this as

x = y + 1

So we have a system of two equations and two variables:

x*$1 + y*$5 = $49

x = y + 1

First we can see that the variable "x" is isolated in the second equation, now we can replace that in the other equation:

x*$1 + y*$5 = $49

(y + 1)*$1 + y*$5 = $49

now we can solve this for y.

y*$1 + $1 + y*$5 = $49

y*($1 + $5) = $49 - $1 = $48

y*$6 = $48

y = $48/$6 = 8

He has 8 $5 bills

and we know that:

x = y + 1

x = 8 + 1 = 9

he has 9 $1 bills.

8 0

3 years ago

Two events, A and B, are independent of each other. P(A)=– and P(A and B)

Georgia [21]

Answer:

D: 0.75

$P(B) = \frac{6}{8} = 0.75$

Step-by-step explanation:

Explanation:-

Independent events:

If the occurrence of the event 'B' is not effected by the occurrence or non- occurrence of the event 'A' then the event 'B' is said to be independent of 'A'

or

The two events are independent if the incidence of one event is not affect the probability of other event.

P(A∩B) = P(A) P(B)

Given data A and B are independent events

Given data

$P(AnB) = \frac{1}{8} and P(A) =\frac{1}{6}$

we know that A and B are independent events are

P(A∩B) = P(A) P(B)

$\frac{1}{8} = \frac{1}{6} P(B)$

Now calculation we get

$P(B) = \frac{6}{8} = 0.75$

Final answer:-

$P(B) = \frac{6}{8} = 0.75$

7 0

3 years ago

Susan has 45 hats in her closet.Her friends borrowed some of the hats.Nicky borrowed 3hats.And Shelly borrowed 2 hats.If Susan d

Zina [86]

Answer:

How many closets?

Step-by-step explanation:

8 0

3 years ago