Solve for x. Triangles below are similar.

a) 13
b) 10
c) 4
d) 3

Answer:

The 99% confidence interval is   [tex] 165.776  <  \mu <  180.224  [/tex]  

Step-by-step explanation:

From the question we are told that

     The sample size is  n  = 100

     The sample mean is  [tex]\= x = 173 \ days[/tex]

      The population standard deviation is  [tex]\sigma = 28 \ days[/tex]  

From the question we are told the confidence level is  99% , hence the level of significance is    

      [tex]\alpha = (100 - 99 ) \%[/tex]

=>   [tex]\alpha = 0.01[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

      [tex]E = 2.58  *  \frac{28 }{\sqrt{100} }[/tex]

=>    [tex]E = 7.224 [/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>     [tex] 173 -7.224  <  \mu < 173 + 7.224  [/tex]    

=>     [tex] 165.776  <  \mu < 180.224  [/tex]  

Answer:

He sold 17 shirts at the festival.

The total number of t-shirts Felipe sold is 17 t-shirts.

Consider that the number of t-shirts Felipe sold be "x".

Since He made a profit of $5 for each t-shirt sold. Therefore, his profit from selling t-shirts is 5x. also made a profit of $40 from selling hats.

His total profit is given as $125.

So we can write the following equation:

5x + 40 = 125

Subtracting 40 from both sides;

5x = 85

Dividing both sides by 5, we get:

x = 17

Therefore, Felipe sold 17 t-shirts.

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Answer:

1) The slope of the line segment AB is [tex]\frac{4}{3}[/tex].

2) The length of the line segment AB is 10.

3) The coordinates of the midpoint of the line segment AB is [tex]M(x,y) = (5,7)[/tex].

4) The slope of a line perpendicular to line segment AB is [tex]-\frac{3}{4}[/tex].

Step-by-step explanation:

1) Let [tex]A(x,y) = (2,3)[/tex] and [tex]B(x,y) = (8,11)[/tex]. From Analytical Geometry, we get that slope of AB ([tex]m_{AB}[/tex]), dimensionless, is determined by the following formula:

[tex]m_{AB} = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (1)

If we know that [tex]x_{A} = 2[/tex], [tex]x_{B} = 8[/tex], [tex]y_{A} = 3[/tex] and [tex]y_{B} = 11[/tex], the slope of the line segment is:

[tex]m_{AB} = \frac{11-3}{8-2}[/tex]

[tex]m_{AB} = \frac{4}{3}[/tex]

The slope of the line segment AB is [tex]\frac{4}{3}[/tex].

2) The length of the line segment AB ([tex]l_{AB}[/tex]), dimensionless, can be calculated by the Pythagorean Theorem:

[tex]l_{AB} =\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}}[/tex] (2)

If we know that [tex]x_{A} = 2[/tex], [tex]x_{B} = 8[/tex], [tex]y_{A} = 3[/tex] and [tex]y_{B} = 11[/tex], the length of the line segment AB is:

[tex]l_{AB} = \sqrt{(8-2)^{2}+(11-3)^{2}}[/tex]

[tex]l_{AB} = 10[/tex]

The length of the line segment AB is 10.

3) The coordinates of the midpoint of the line segment AB are, respectively:

[tex]x_{M} = \frac{x_{A}+x_{B}}{2}[/tex] (3)

[tex]y_{M} = \frac{y_{A}+y_{B}}{2}[/tex] (4)

If we know that [tex]x_{A} = 2[/tex], [tex]x_{B} = 8[/tex], [tex]y_{A} = 3[/tex] and [tex]y_{B} = 11[/tex], the coordinates of the midpoint of the line segment AB are, respectively:

[tex]x_{M} = \frac{2+8}{2}[/tex]

[tex]x_{M} = 5[/tex]

[tex]y_{M} = \frac{3+11}{2}[/tex]

[tex]y_{M} = 7[/tex]

The coordinates of the midpoint of the line segment AB is [tex]M(x,y) = (5,7)[/tex].

4) From Analytical Geometry we can determine the slope of a line perpendicular to line segment AB as a function of the slope of the line segment:

[tex]m_{\perp} = -\frac{1}{m_{AB}}[/tex] (5)

If we know that [tex]m_{AB} = \frac{4}{3}[/tex], then the slope of a line perpendicular to AB is:

[tex]m_{\perp} = - \frac{1}{\frac{4}{3} }[/tex]

[tex]m_{\perp} = -\frac{3}{4}[/tex]

The slope of a line perpendicular to line segment AB is [tex]-\frac{3}{4}[/tex].

Answer:

Step-by-step explanation:

If the number is 6 then square of 6 is 36 then adding 7 = 36 + 8 = 43

So the number is 6

Answer:

6

Step-by-step explanation:

Do the question backwards

43 - 7 = 36

[tex]\sqrt{36}[/tex] = 6

Stephanies number was 6

Answer:

(-25w^5+30w^2)/(-5w) Simplified:

5w^4 - 6w

Answer:

x=5

Step-by-step explanation:

15/3=5 or 5x3=15

Answer:

So divide each term by -3 and simplify the answerr x=5

Step-by-step explanation:

Answer:

4 is the unit rate

Step-by-step explanation:

Final Answer: [tex]-12x + 1.5[/tex]

Steps/Reasons/Explanation:

Question: Which expression is equivalent to [tex]-3(4x - 0.50)?[/tex]

Step 1: Expand by distributing terms.

[tex]-3[/tex] × [tex]4x - 3[/tex] × [tex]-0.50[/tex]

Step 2: Simplify [tex]-3[/tex] × [tex]4x[/tex] to [tex]-12x[/tex].

[tex]-12x - 3[/tex] × [tex]-0.50[/tex]

Step 3: Simplify [tex]3[/tex] × [tex]-0.50[/tex] to [tex]-1.5[/tex].

[tex]-12x - (-1.5)[/tex]

Step 4: Remove parentheses and add.

[tex]-12x + 1.5[/tex]

~I hope I helped you :)~

Answer:

0.40

Step-by-step explanation:

5/13 = 0.38461538461. Hundreths place is the 2nd number after decimal so if you round 8 it'll be .40

Answer:

5/13 as a decimal to the nearest hundredth is 0.39 or 0.40.

Step-by-step explanation:

You simply need to divide 5 by 13, and you get 0.384615, but round to the nearest hundredth gets you 0.40

Answer:

1,3,4

Step-by-step explanation:

Answer:

I think your question is the differences between these terms in mathematical explanation? Well, the median is the middle. You add and divide for the mean. The mode is the one that appears the most. And the range is the difference in between.

Other:

Brainliest? Thanks!

[tex]mean = \frac{sum \: \: of \: \:all \: \: obsevations}{no. \: \: of \: \: observations} [/tex]

[tex]median = middle \: \: most \: \: value[/tex]

[tex]mode = most \: \: occuring \: term[/tex]

[tex]range = highest \: \: observation \: - lowest \: \: observation[/tex]

Answer:

1/7

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

15.82x2=31.64

31.64+42.37=74.01

100-74.01=25.99

Sinead received $25.99 for change.

Answer:

Sinead received $25.99 for change.

Step-by-step explanation:

Answer:

he worked 69 hours

Step-by-step explanation:

if u do 2070 divided by 30 u will get 69 and theres your answer

4 or d object is moving away at an increasing speed

Answer:

3.2

Step-by-step explanation:

Answer:

(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))

Step-by-step explanation:

Given that:

NEWER CARS:

Sample size = n1 = 45

Standard deviation s1 = 46

Mean = m1 = 195

OLDER CARS:

Sample size = n2 = 40

Standard DEVIATION s2 = 58

Mean = m2 = 286

Confidence interval at 95% ; α = 1 - 0.95 = 0.05 ; 0.05 / 2 = 0.025

Confidence interval is calculated thus : (newer--older)

(m1 - m2) ± Tcritical * standard error

Mean difference = m1 - m2; (195 - 286)

Tcritical = Tn1+n2-2, α/2 = T(45+40)-2 = T83, 0.025 = 1.99 (T value calculator)

Standard error (E) = sqrt((s1²/n1) + (s2²/n2))

E = sqrt((46^2/45) + (58^2/40))

Hence, confidence interval:

(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))

The 95% confidence interval for estimating the difference in the mean dollar cost of the routine maintenance between newer and older cars is given by:

[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]

The first sample consists of owners of newer cars

The second sample consists of owner of older cars.

95% confidence interval for difference between both samples' means.

Since the sample sizes are > 30, thus we can use the z table for finding the Confidence interval.

The CI is given as:

[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]

For 0.95 probability confidence, we have t at 40+45-3= t at 83 at 0.05/2 is 1.992 (from T tables)

Thus,

[tex]CI=(195-268) \pm 1.992 \sqrt{\dfrac{46^2}{45} + \dfrac{58^2}{40}}[/tex]

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Answer:

A) y=3x-4

Step-by-step explanation:

Answer: Bottom left

5x5x5=125

The volume having 125 cubic, is a box which has dimensions,  5 feet, 5 feet, 5 feet. So Option D is correct

In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within a closed region of every three dimensional object.

Given that,

4 boxes having different different dimensions

1. 4 feet, 9 feet, 5 feet

2. 4 feet, 3 feet, 4 feet

3. 5 feet, 12 feet, 2 feet

4. 5 feet, 5 feet, 5 feet

lets calculate the volume for all the four boxes

V = 4 feet  × 9 feet  × 5 feet  = 180  feet³

V = 4 feet × 3 feet × 4 feet  = 48 feet³

V =  5 feet × 12 feet × 2 feet  = 120 feet³

V =  5 feet × 5 feet × 5 feet  = 125  feet³

Hence, the volume of box having dimension 5 feet, 5 feet, 5 feet is 125  feet³

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Answer:

Type 2 Error

Step-by-step explanation:

Null Hypothesis [H0] : New soybean has no impact on harvest

Alternate Hypothesis [H1] : New soybean leads to larger harvest

The farmer accepts the null hypothesis & concludes, that there is no impact of new soybean on harvest.

He could have committed Type 2 Error, which refers to accepting a null hypothesis when it is actually false.

Answer:

1.) x=2y-4

2.) x=2y-4 :)

Answer:

[tex]3x - 6y = - 12 ..........i)\\ x - 2y = - 8............ii) \\ x = 2y - 8 \\ Substituting \: the \: value \: of \: x \:in \: equation \: i) \: we \: get \\ 3(2y - 8) - 6y = - 12 \\ 6y - 24 - 6y = - 12 \\ Here \: we \: can \: see \:that\: the \: value \: of \: y \: cannot \: be \: found \\ Equation \: is \: in \: form \: a \frac{}{1} x + b \frac{}{1} y + c \frac{}{1}= 0\:and \\ a \frac{}{2} x + b \frac{}{2} y + c \frac{}{2} = 0 \\ where, \: \: \frac{a \frac{}{1} }{a \frac{}{2} } = \frac{b \frac{}{1} }{b \frac{}{2} } \\ Therefore \: lines \: are \: parallel \: to \: each \: other \\ Lines \: have \: no \: solution.[/tex]

Answer:

32

Step-by-step explanation:

Answer:

15) For a regular polygon of N sides, the measure of one interior angle is:

A = (N -  2)*180°/N

In this case, the figure has 11 sides, then we have N = 11, and the measure of each interior angle will be:

A = (11 - 2)*180°/11

A = 9*180°/11 = 147.27°

Rounding to the first decimal after the decimal point, we get:

A = 147.3°

Then the correct option is B.

16) We know that the length of all the sides of a square is the same.

In the image, we can see that the length of the right side is 4, and the length of the top side is 2x + 4

And those lengths must be the same, then we have the equation:

2x + 4 = 4

subtracting 4 in each side of the equation we get:

2x + 4 - 4 = 4 - 4

2x = 0

The only solution for this equation is x = 0.

Then the correct option is C

someone with wealth without health is nobody

Step-by-step explanation:

when someone that is wealthy didn't give birth d Husband would say they should adopt a child or he should marry another wife

Answer:

10000

hope it helps!

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