Plz solve. I will give 50 points for whoever gets it right.

Answer:

Since XBC is 55 degrees and triangle BXC is isosolese, angle BCX is also 55 degrees. 180 - 110 = 70

so angle BXC is 70 degrees.

Using the t-distribution, it is found that since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

At the null hypothesis, it is tested if the consumption is not different, that is, if the subtraction of the means is 0, hence:

[tex]H_0: \mu_1 - \mu_2 = 0[/tex]

At the alternative hypothesis, it is tested if the consumption is different, that is, if the subtraction of the means is not 0, hence:

[tex]H_1: \mu_1 - \mu_2 \neq 0[/tex]

Two groups of 22 patients, hence, the standard errors are:

[tex]s_1 = \frac{45.1}{\sqrt{22}} = 9.6154[/tex]

[tex]s_2 = \frac{26.4}{\sqrt{22}} = 5.6285[/tex]

The distribution of the differences is has:

[tex]\overline{x} = \mu_1 - \mu_2 = 52.1 - 27.1 = 25[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{9.6154^2 + 5.6285^2} = 11.14[/tex]

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]t = \frac{25 - 0}{11.14}[/tex]

[tex]t = 2.2438[/tex]

The p-value of the test is found using a two-tailed test, as we are testing if the mean is different of a value, with t = 2.2438 and 22 + 22 - 2 = 42 df.

Since the p-value of the test is of 0.0302, which is less than the standard significance level of 0.05, the data provides convincing evidence that the average food intake is different for the patients in the treatment group.

A similar problem is given at https://brainly.com/question/25600813

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = - 1

To find the common difference subtract the previous term from the next term

We have

d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5

Therefore d = 5

Substitute the values into the general formula

That's

[tex]A(n) = - 1 + (n - 1)(5) \\ = - 1 + 5n - 5 \\ = 5n - 6 \: \: \: \: \: \: \: \: \: \: \: [/tex]

To find A(50) substitute the value of n that's 50 into the formula above

[tex]A(50) = 5(50) - 6 \\ \: \: \: \: \: \: \: \: \: = 250 - 6 \\ \: = 244[/tex]

Hope this helps you

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

where a is the first term

n is the number of terms

d is the common difference

From the question

To find the common difference subtract the previous term from the next term

Therefore d = 5

Substitute the values into the general formula

That's

[tex]A(n)=−1+(n−1)(5) \\ \: \: \: \: \: \: \: \: =−1+5n−5 \\ =5n−6[/tex]

To find A(50) substitute the value of n that's 50 into the formula above

[tex]A(50)=5(50)−6 \\ \: \: \: \: \: \: \: \: =250−6 \\ \: \: =244[/tex]

Answer:

y <  -3/2x + 1

Step-by-step explanation:

Points (-2,4) and (2, -2) are on the graph.

The graph crosses the y-axis at 1 so the y-intercept is 1

Slope = (change in the y-value)/(change in the x-value.

Slope = (-2 - 4)/ [2 - (- 2)]

Slope = -6/4

Slope = -3/2  

The equation of the line : y = -3/2x + 1

Now the graph is dotted and it is shaded down.

Therefore the inequality is y <  -3/2x + 1

Answer:

Add 6x to both sides.

y + 6x = -5

Reorder the left side so that the x term is first.

6x + y = -5

:)

Using conditional probability, it is found that there is a 0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.

Conditional Probability

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

In this problem:

The percentages associated with arriving home after 7 p.m. are:

Hence:

[tex]P(A) = 0.14(0.17) + 0.62(0.83) = 0.5384[/tex]

The probability of both arriving home after 7 p.m. and using bus is:

[tex]P(A \cap B) = 0.62(0.83)[/tex]

Hence, the conditional probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.62(0.83)}{0.5384} = 0.9556[/tex]

0.9556 = 95.56% probability that Juan chose to get home from work by bus, given that he arrived home after 7 p.m.

You can learn more about conditional probability at https://brainly.com/question/14398287

The given question can be solved by applying the cosine rule. Therefore, Sailboat A is 12.61 miles away from the starting point. Thus it is the farthest from the starting point.

a. To determine the distance of sailboat A from the stating point.

Applying the cosine rule to the path traveled by sailboat A, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ

   = [tex]5^{2}[/tex] + [tex]8^{2}[/tex] - 2(5*8) Cos (180 - 29)

   = 25 + 64 -80 * -0.8746

[tex]c^{2}[/tex] = 89 + 70

[tex]c^{2}[/tex] = 159

c = [tex]\sqrt{159}[/tex]

  = 12.6095

Thus, the distance of sailboat A from starting point is 12.61 miles.

b. To determine the distance of sailboat B from the stating point.

Applying the cosine rule to the path traveled by sailboat B, we have:

[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ

   = [tex]8^{2}[/tex] + [tex]5^{2}[/tex] - 2(5*8) Cos (180 - 51)

   = 64 + 25 -80 * -0.6293

[tex]c^{2}[/tex] = 89 + 50.344

   = 139.344

c = [tex]\sqrt{139.344}[/tex]

  = 11.8044

c = 11.80 miles

Thus, the distance of sailboat B from starting point is 11.80 miles.

Comparing the distances of the sailboats from the starting point, sailboat A is farther from the starting point.

A sketch is attached to this answer for better reasoning.

Visit: https://brainly.com/question/22699651

Answer:

accept length

accept breadth

Area=length *breadth

we multiply the length of a rectangle by the width of the rectangle.

Answer:

1610

Step-by-step explanation:

230 is 1/8 percent, multiply it by 7, get 1610

Answer:

Below in bold.

Step-by-step explanation:

Using the quadratic formula :

roots =  [-16 +/-√(16^2 - 4*16*5)] / (2*16)

= -0.5 +/- √(-64) /32

= -0.5 +/- 8i/32

= -0.5 + 0.25i and -0.5 - 0.25i

[tex]\sf\longmapsto 16x^2+16x+5=0[/tex]

[tex]\sf\longmapsto x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm\sqrt{16^2-4(16)(5)}}{2(16)}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm√256-320}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm√-64}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-16\pm8i}{32}[/tex]

[tex]\sf\longmapsto x=\dfrac{-2\pm i}{4}[/tex]

[tex]\sf\longmapsto x=\dfrac{-1}{2}\pm\dfrac{1}{4}i [/tex]

Answer: 3.9

Step-by-step explanation: calculator

1. 39 divided by 4 divided by 2.50

Answer:

it's simple it means

2×b-8=5

Answer:

b = 10.5

Step-by-step explanation:

The difference of b and 8 is b - 8 and twice this difference is

2(b - 8) = 5 ← distribute parenthesis on left side

2b - 16 = 5 ( add 16 to both sides )

2b = 21 ( divide both sides by 2 )

b = 10.5

The unknown number b is 10.5

Answer:

Parallel

Step-by-step explanation:

So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doesnt change, just the starting point

For example use the following equations

y = x + 2  

y = x + 3  

In the graph, these equations are parallel

The number of players that can be taken to the tournament is 12 players.

The equation that can be used to represent the total amount spent by the soccer team is:

Total amount spent = cost of rented bus + (cost per meal x total number of players)

$1530.50 = $1164.50 + $30.50x

Where: x = total number of player

In order to determine the value of x, the following steps would be taken:

Combine similar terms

$1530.50 - $1164.50 = $30.50x

$366 = $30.50x

Divide both sides of the equation by 30.50

x = $366 / $30.50

x = 12 players

A similar question was answered here: https://brainly.com/question/22358515

Answer:

45.36

Step-by-step explanation:

pleas mark brainlest

Answer:

$22.68

Step-by-step explanation:

$1.89 times 12

Answer:

x = 4

Step-by-step explanation:

(b)

[tex]\frac{2x+1}{3}[/tex] = 5 - [tex]\frac{1}{2}[/tex] x

Multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions

2(2x + 1) = 30 - 3x , distribute parenthesis on left side

4x + 2 = 30 - 3x ( add 3x to both sides )

7x + 2 = 30 ( subtract 2 from both sides )

7x = 28 ( divide both sides by 7 )

x = 4

Answer:

11.8

Step-by-step explanation:

brainlest

Answer:

A=2/6 B=5/6

Step-by-step explanation:

I really hope this helps! (i love math!)

Answer:

x=2

Step-by-step explanation:

24x=48, x=2 (subtract 4 from both sides)

Answer:

[tex]\bf 24x+4=52[/tex]

[tex]\bf 24x+4-4=52-4[/tex]

[tex]\bf 24x=48[/tex]

[tex]\bf \cfrac{24x}{24}=\cfrac{48}{24}[/tex]

[tex]\boxed{\bf x=2}[/tex]

⊱ ────── {.⋅ ✯ ⋅.} ────── ⊰

Answer: (3x+1) (2x-5)

Answer:

0 = 0 = 0 = 0 = 0 < 1 < 6 < 7

0 is equal to 0 is equal to 0 is equal to 0 is equal to 0 is less than 1 is less than 6 is less than 7

0/

1

= 0/

1

= 0/

1

= 0/

1

= 0/

1

< 1/

1

< 6/

1

< 7/

1

Step-by-step explanation:

Answer:

the correct answer is (1, 7)

Step-by-step explanation:

Answer:

H is the height

Step-by-step explanation:

A= Area

B= Base

1/2= 0.5

Answer:

Point C

Step-by-step explanation:

Hope it can help you lovelots

Answer:

1. 0.0692156863

2. 0.5761904762

3. 0.3969565217

4. 2.030769231

Step-by-step explanation:

Answer:

Answer:

i think it's the 6th option

Step-by-step explanation:

x

ysalamst po

-17-30sanaol

Answer:

x=1 y=5

Step-by-step explanation:

y=4+x

x=y=6

x+4+x=6

y=4+x

2x+4=6

y=4+x

2x=2

y=4+x

x=1

y=4+x

y=5

x=1