Lin’s family has completed 30% of a trip. They have traveled 60 miles. How far is the trip?

Answer:

Side length z = 20 m

Angle d = 53°

Step-by-step explanation:

Since ∆ABC ~ GHI, therefore their corresponding side lengths would be proportional to each other. This implies that the ratio of their corresponding lengths are equal.

This also means that the same scale factor can be multiplied with any side length of ∆ABC to get the corresponding side length of ∆GHI.

The scale factor = HI/BC = 25/10 = 2.5

The side length that corresponds to z is AB which is 8 m long.

z = 8*2.5

✅Side length z = 20 m

Corresponding angles of similar triangles are congruent to each other.

Therefore,

✅Angle d = <I = 53°

Answer:

law of sines

law of cosines

Step-by-step explanation:

Answer:

221 minutes

Step-by-step explanation:

It's a known fact that

1 m³ = 1000 L

W(t) = 2*2*5 m^3 + 20t - t²/2

W(t) = 20 + 20t - t²/2, on differentiating, we have

-0.5² + 20t + 20000 = 0, and

t = [40 +- √161600] / 2

= 20 + 20√101 for t > 0

so t = 221 minutes

Answer:

y=5/2x+7

Step-by-step explanation:

y=mx+b

12=m(2)+7

5=2m

m=5/2

Answer:

The best unit for measuring how far Micah lives from school is kilometers.

Step-by-step explanation:

Kilometers is a widespread unit derived from SI (System International) unit for length (meter, 1 kilometer equals 1000 meters) used for distances in automotive applications, especially in cars, and among them the car described on statement.

Hence, the best unit for measuring how far Micah lives from school is kilometers.

Answer:

-8x + 3

Step-by-step explanation:

3 is the value of k in the Linear equation .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) component, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                                   Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables. Equations with variables of power 1 are referred to be linear equations. One example with only one variable is where ax+b = 0, where a and b are real values and x is the variable.

equation 42 ÷ k = 14

              42/k = 14

                42 = 14 * k

                 k = 42/14

                 k = 3

Learn more about Linear equation

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Answer:

5

Step-by-step explanation:

if you write a long list:111122333344555555566666677777888 you can see the number that occurs the most is 5.

Answer:

Answer: 18

Step-by-step explanation:

Do 120 x 15%

Answer:

18

Step-by-step explanation:

15% is 15 out of 100, so in decimal form it would be 0.15. if you multiply 0.15 by 120 (0.15 * 120) you would get 18.

Answer:

314.5

2252.5

250

Step-by-step explanation:

Answer:

$0.36

Step-by-step explanation:

Answer:

$0.36

Step-by-step explanation:

You divide $1.80 by 5.

Answer:

135

Step-by-step explanation:

First 12-2=10

Then 3^3=27

After 27 times 10=270

Lastly 270 divided by 2=135

The simplified value of the expression 3³ × (12 - 2) ÷ 2 is 135.

PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.

Given, an expression 3³ × (12 - 2) ÷ 2.

= 27 × (10)×1/2.

= 27 × 5.

= 135.

learn more about the PEMDAS rule here :

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Answer:

D. 60h = m

Step-by-step explanation:

A proportional equation that represents the relationship will be in the form of m = kh

Where,

Constant of proportionality = k = m/h

Using (2, 120),

k = 120/2

k = 60

Substitute k = 60 into m = kh

Thus:

m = 60h

This can also be written as 60h = m

9514 1404 393

Answer:

  (c)  $497.90

Step-by-step explanation:

The 8.25% sales tax adds ...

  0.0825 · $459.95 = $37.95

to the price, bringing the total to ...

  $459.95 +37.95 = $497.90

Answer:

where is the graph

Step-by-step explanation:

Answer:

3ft

Step-by-step explanation:

it takes a while to explain and I dont have much time, but the answer is 3

Answer:

[tex]3x + 8 = 32 \\ 3x = 32 - 8 \\ 3x = 24 \\ x = \frac{24}{3} \\ x = 8[/tex]

Answer:

There were 6 guides on Sunday.

Step-by-step explanation:

Same ratio

On Saturday, 120 tourists and 18 guides.

On Sunday, 40 tourists and x guides.

Due to the same ratio:

[tex]\frac{120}{40} = \frac{18}{x}[/tex]

[tex]3 = \frac{18}{x}[/tex]

[tex]3x = 18[/tex]

[tex]x = \frac{18}{3}[/tex]

[tex]x = 6[/tex]

There were 6 guides on Sunday.

Answer:

x<9

Step-by-step explanation:

so first you add 4 to both sides,

then it is x<9 right?

WELL THAT'S THE ANSWER :)

pls give me brainliest

ˆ

THEY ARE CORRECT

GIVE THEM BRAINLIST BEFORE THIS GETS DELETED

Answer:

Confidence interval variance [21.297 ; 64.493]

Confidence interval standard deviation;

4.615, 8.031

Step-by-step explanation:

Given :

Variance, s² = 34.34

Standard deviation, s = 5.86

Sample size, n = 27

Degree of freedom, df = 27 - 1 = 26

Using the relation for the confidence interval :

[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]

From the chi distribition table :

X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844

Hence,

[34.34*26 / 41.923] ; [34.34*26 / 13.844]

[21.297 ; 64.493]

The 95% confidence interval for the population variance is :

21.297 < σ² < 64.493

Standard deviation is the square root of variance, hence,

The 95% confidence interval for the population standard deviation is :

4.615 < σ < 8.031

The population variance of 95% confidence interval is [tex]4.615<\sigma<8.031[/tex] and this can be determined by using the given data.

Given :

First, determine the degree of freedom.

[tex]df = 27-1=26[/tex]

The determine the confidence interval using the below formula:

[tex]\left(\dfrac{s^2(n-1)}{X^2_{\alpha/2,(n-1) }}\right);\left(\dfrac{s^2(n-1)}{X^2_{(1-\alpha)/2,(n-1) }}\right)[/tex]

Now, using the chi distribution the above expression becomes:

[tex]\left(\dfrac{34.34\times 26}{41.923 }}\right);\left(\dfrac{34.34\times 26}{13.844 }}\right)[/tex]

Simplify the above expression.

(21.297 ) ; (64.493)

So, the population variance of 95% confidence interval is:

[tex]\begin{aligned}\\21.297&<\sigma^2<64.493\\4.615&<\sigma<8.031\\\end{alingned}[/tex]

For more information, refer to the link given below:

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Answer:

picture?

Step-by-step explanation:

Answer:

A ball-and-stick model of a glucose molecule is shown here.

How many of each type of atom are needed to make one

glucose molecule?

PLEASE HELP ME

Step-by-step explanation:

1 molecule of glucose contains 6 atoms of C, 12 atoms of H, and 6 atoms of O • 1 mole of glucose contains 6 moles of C atoms, 12 moles of H atoms, and 6 moles of O atoms. 10 moles of glucose contains 60 moles of C, 120 moles of H, and 60

Answer:

$15

Step-by-step explanation:

3÷25.50 to get $8.50 per pizza then you would time that by 10 to get $85 as the total cost

Let H represent heads and T represent tails.

Writing HH means we get two heads and HT means we get heads first, then tails second, and so on.

We have these four possible outcomes when flipping two coins

Of those four outcomes, two of them have exactly one head show up (HT and TH). The probability of getting exactly one head is 2/4 = 1/2, so this is why Jose is correct.

Answer:

P = $7.00

Step-by-step explanation:

Movie tickets = $8.50

Drink = $4.75

Two friends also bought popcorn

Total spent by the group = $53.75

Given equation:

3(8.50 + 4.75) + 2p = 53.75

Where,

P = cost of one order of popcorn

3(8.50 + 4.75) + 2p = 53.75

25.50 + 14.25 + 2p = 53.75

39.75 + 2p = 53.75

2p = 53.75 - 39.75

2p = 14

p = 14 / 2

p = 7

p = $7.00

Answer:

The one is the y intercept so you would place it at (0,1) and then sense the slope is 2/1 you would either go back one and down two or go up two and over one

Step-by-step explanation:

Answer:

a) 4,706 scored between 60 and 80

b) A score of 90.6.

c) 81th percentile.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 75, \sigma = 15[/tex]

A. About how many scored between 60 and 80?

Proportion:

This is the pvalue of Z when X = 80 subtracted by the pvalue of Z when X = 60. So

X = 80

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{80 - 75}{15}[/tex]

[tex]Z = 0.33[/tex]

[tex]Z = 0.33[/tex] has a pvalue of 0.6293

X = 60

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{60 - 75}{15}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

0.6293 - 0.1587 = 0.4706

How many?

0.4706 out of 10,000, so

0.4706*10000 = 4706

4,706 scored between 60 and 80.

B. Approximately what score did only the top 15% exceed?

The 85th percentile, which is X when Z has a pvalue of 0.85. So X when Z = 1.037.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.037 = \frac{X - 75}{15}[/tex]

[tex]X - 75 = 1.037*15[/tex]

[tex]X = 90.6[/tex]

A score of 90.6.

C. Find the percentile rank of the person who scored 88.

This is the pvalue of Z when X = 88. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{88 - 75}{15}[/tex]

[tex]Z = 0.87[/tex]

[tex]Z = 0.87[/tex] has a pvalue of 0.8078

So, rounding up, the 81th percentile.

Answer:

x=75

Step-by-step explanation:

30+x+x=180

2x=150

x=75

Answer:

y = ⁴/3x - 7

Step-by-step explanation:

✔️First, find the slope (m):

Slope (m) = ∆y/∆x = 4/3

m = ⁴/3

✔️Determine the y-intercept (b):

The y-axis is intercepted by the line at y = -7, therefore the y-intercept (b) would be -7.

b = -7

✔️Write the equation:

Substitute the value of m = ⁴/3 and b = -7 into y = mx + b (slope-intercept form equation).

y = ⁴/3x + (-7)

y = ⁴/3x - 7

Answer:

Step-by-step explanation:

X=5; X=-5 this is the answer i put and got off math:::way