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a in a complete sentence, describe the angle relationship in the diagram

Answer:

2 minutes

Step-by-step explanation:

The front of the train enters the tunnel and travels 1 km before the rear of the train enters the tunnel.  Thus, the total distance traveled by the front of the train is 2 km, and this is covered in a certain number of hours:

Since distance = rate times time, time = distance / rate.  In this particular case we have:

                                              2 km

time = distance / rate = ------------------- = (1/30) hr

                                           60 km/hr

(1/30) hr converts to 2 minutes, since 1 hr = 60 minutes

She will get $8.01. Hope this helped.

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Please find the complete question in the attachment file.

[tex]n_1 = 26 \\\\ x_1 = 16.12 \\\\s_1 = 3.58\\\\n_2 = 26\\\\ x_2 = 19.85 \\\\ s_2 = 4.51[/tex]

[tex]H_0: u_1 = u_2\\\\H_1: u_1 \neq u_2[/tex]

Using formula:

[tex]\to S^{2}_{p}=\frac{S^{2}_{1}(n_1 -1)+ S^{2}_{2}(n_2-1)}{n_1+n_2-2}[/tex]

[tex]\to Sp^2 = \frac{((26-1) \times (3.58^2) + (26-1) \times (4.51^2))}{(26+26-2)}[/tex]

          [tex]= \frac{((25) \times 12.8164 + (25) \times 20.3401 )}{(26+24)}\\\\ = \frac{(320.41 + 508.5025)}{(50)}\\\\ = \frac{(828.9125)}{(50)}\\\\=16.57825[/tex]

[tex]\to Sp = 4.0716[/tex]

Calculating the value of standard error:

[tex]\to SE = Sp \times \sqrt{\frac{1}{n_1}+\frac{1}{n_2}}[/tex]

          [tex]=4.0716 \times \sqrt{\frac{1}{26}+\frac{1}{26}}\\\\=4.0716 \times \sqrt{\frac{1+1}{26}}\\\\=4.0716 \times \sqrt{\frac{2}{26}}\\\\=4.0716 \times \sqrt{\frac{1}{13}}\\\\=4.0716 \times 0.277 \\\\=1.1278332\\\\= 1.1293[/tex]

Calculating the value of test statistic:

Formula:

[tex]\to t = \frac{(x_1-x_2)}{SE}[/tex]

      [tex]= \frac{(16.12 -19.85)}{1.1293}\\\\= \frac{(-3.73)}{1.1293}\\\\=-3.303[/tex]

Calculating the value of Degree of freedom:

[tex]= n_1+n_2 -2 \\\\= 26+26 -2 \\\\= 52 -2 \\\\= 50[/tex]

Because the P-value is a 2-tailed test = 0.0018

Thus they reject H0, because of P-value < 0.05,

Yeah, certain data show clearly that the means are different.

Answer:

2.6 in

Step-by-step explanation:

From the question given above, the following data were obtained:

Volume (V) of cylinder = 258¾ in³

Height (h) of cylinder = 12 in

Radius (r) =.?

NOTE: Pi (π) = 3.14

The radius of the cylinder can be obtained as follow:

V = πr²h

258¾ = 3.14 × r² × 12

258.75 = 37.68 × r²

Divide both side by 37.68

r² = 258.75 / 37.68

Take the square root of both side

r = √(258.75 / 37.68)

r = 2.6 in

Therefore, the radius of the cylinder is 2.6 in.

Answer:

There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins

Step-by-step explanation:

The total amount of coins is given by x.

Ratio 3:5:7

[tex]\frac{3}{3+5+7} = \frac{3}{15}[/tex] are worth $1.

[tex]\frac{5}{3+5+7} = \frac{5}{15}[/tex] are worth 50 cents = $0.5.

[tex]\frac{7}{3+5+7} = \frac{7}{15}[/tex] are worth 25 cents = $0.25.

The total amount of money is $1856.

This means that:

[tex]\frac{3x}{15} + 0.5\frac{5x}{15} + 0.25\frac{7x}{15} = 1856{/tex]

Multiplying everything by 15

[tex]3x + 2.5x + 1.75x = 27840[/tex]

[tex]7.25x = 27840[/tex]

[tex]x = \frac{27840}{7.25}[/tex]

[tex]x = 3840[/tex]

Amount of coins of 1 dollar:

[tex]\frac{3*3840}{15} = \frac{3840}{5} = 768[/tex]

Amount of 50 cent coins:

[tex]\frac{5*3840}{15} = \frac{3840}{3} = 1280[/tex]

Amount of 25 cent coins:

[tex]\frac{7*3840}{15} = 1792[/tex]

There are 768 1 dollar coins, 1280 50 cent coins and 1792 25 cent coins

Answer:

23, because 138 divided by 6 is 23

He can make 23 servings.

Answer:

$100

Step-by-step explanation:

We are given that

Company sells shirts=100-0.5x

Charge per shirt=x

We have to find the  charge per shirt in order to make $5000 on shirt sales.

According to question

[tex]x(100-0.5x)=5000[/tex]

[tex]100x-0.5x^2=5000[/tex]

[tex]0.5x^2-100x+5000=0[/tex]

[tex]5x^2-1000x+50000=0[/tex]

[tex]x^2-200x+10000=0[/tex]

[tex]x^2-2\times x\times 100+(100)^2=0[/tex]

[tex](x-100)^2=0[/tex]

[tex]x=100,100[/tex]

Hence, charge per shirt=$100

Answer:

1/6

Step-by-step explanation:

M&M comes in 6 colors.

So, P(green), = 1/6

P(red) = 1/6

· P(Yellow) = 1/6

· P(Orange) = 1/6

Answer:

Step-by-step explanation:

a and s are the numbers of adult and student tickets, respectively.

9a + 14s = 220

11a + 7s = 188 Multiply by -2 and add to first equation.

-22a - 14s = -376

9a + 14s = 220

-----------------------

-13a = -156

a = 12

9(12) + 14s = 220

14s = 112

s = 8

Adult tickets cost $12. Student tickets cost $8.

Answer:36x-11

Step-by-step explanation:

Answer: 36x-11

34x-7+2(x-2)

34x-7+2x-4

36x-11

Step-by-step explanation:

Answer:

area of circle=πr²=π50²=2500πunit²

Answer:

In costs $17.19

Step-by-step explanation:

Answer:

324 centimeters³

Step-by-step explanation:

The base is square so the length and width are both 6. The height is 9. The formula to solve a rectangular prism's volume is length x width x height. In this case it's 6 x 6 x 9. This is 324.

Hope it helps!

Answer:

There is not enough information to solve the problem.

Step-by-step explanation:

The question only gives the information that two angles are summing up to 68 degrees, but doesn't state what angles. As such, we can't determine any angles formed by parallel lines a and b, and transversal m.

Answer:

a)   10(5g + 2r)   weight loss over time

b)   20/12 = 1.66667 = 50 / 1.67 = 29.999 gm = 5(6g -1/50)  or  5(5 + g) = 30g

c) 30g = 12 days = 3/5   therefore 5/5 -3/5 = 2/5  = 2/5 x 50 (g) = 20g in 8 days lost

8/20 = 0.4  loss each day 50g - 0.8g = 20-2 = 18 days.

Step-by-step explanation:

Answer:

[tex]H_1 : \mu > 24.5[/tex]

Step-by-step explanation:

From the given information:

The sample size is 28

The population mean is 24.5 (ppb)

The sample mean is 225.3 (ppb)

Thus, the null and the alternative hypothesis can be computed as:

Null hypothesis:

[tex]H_o : \mu \le 24.5[/tex]

Alternative hypothesis:

[tex]H_1 : \mu > 24.5[/tex]

The alternative hypothesis addresses their concern which is Hₐ: μ > 24.5. Then the correct option is D.

In null hypotheses, there is no relationship between the two phenomenons under the assumption or it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.

Perchlorate is a chemical used in rocket fuel.

People who live near a former rocket-testing site are concerned that perchlorate is present in unsafe amounts in their drinking water.

Drinking water is considered safe when the average level of perchlorate is 24.5 parts per billion (ppb) or less.

A random sample of 28 water sources in this area produces a mean perchlorate measure of 25.3 ppb.

The null hypotheses and alternative hypotheses can be given as

Null hypotheses

H₀: μ ≤ 24.5

Alternative hypotheses

Hₐ: μ > 24.5

More about the null hypotheses and alternative hypotheses link is given below.

https://brainly.com/question/9504281

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

You cannot tell from the wiggly line! If that is supposed to be a straight line, you have equivalent ratios from point to point.

Answer:

1. 50 16 5 - 64

Step-by-step explanation:

have a nice day

Answer:

Step-by-step explanation:

d = (4×180) - (3×90)

d = (720) - (270)

d = 720 - 270

d = 450

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

Answer:

A to f equals 2.5

A to e equals 1.5

a to d equals .5

a to c equals 2

a to I equals 3.5

a to g equals 3

a to h equals 4.5

a to j equals 4

a to k equals 5.5

use the big numbers as landmarks! that's the number before the decimal ( . ) to find the number after the decimal, count the little lines!

Answer:

4(10x) = 40x

Step-by-step explanation:

Assuming you meant that each side has 10x, and not the sum of each side is 10x. Since each side has 10x, and every square has equal sides of 4, we can utilize parenthesis.

4 = number of sides

10x = given length of each side

4(10x) = 40x

Same as saying 4 × 10x = 40x.

Answer:

Step-by-step explanation:

I think 65 divided by 625 is 104 phones jill sold srry if I’m wrongI’m just a kid trying to figure out all this work

Answer:

x means

Step-by-step explanation:

10x means that the x is something you would times to get the number you want which is 44 so 10 times x=4. hope this helped :)

Answer:

15

Step-by-step explanation:

2(8x - 23) = 10x + 44

16x - 46 = 10x + 44

6x = 90

x = 15

Answer:

g

Step-by-step explanation:

Answer:

[tex] \huge \boxed{ \tt i)1.6} \\ \huge \boxed{ \tt ii)4.3} \\ \huge \boxed{ \tt iii)8.3} \\ \huge \boxed{ \: \: \: \: \tt iv)9.2 \: \: \: }[/tex]

Step-by-step explanation:

tips for finding square root by division method

tips for converting decimal to a fraction

solve the square roots using division method:

solve the square roots by converting decimals into fraction:

[tex] \tt i) \sqrt{2.56} \\ \tt \sqrt{ \frac{256}{100} } \\ \tt \sqrt{ \frac{1 {6}^{2} }{ {10}^{2} } } \\ \tt\frac{16}{10} \\ \tt \: 1.6[/tex]

[tex] \tt ii) \sqrt{18.49} \\ \tt \sqrt{ \frac{1849}{100} } \\ \tt\sqrt{ \frac{ {43}^{2} }{ {10}^{2} } } \\ \tt \frac{43}{10} \\ \tt 4.3[/tex]

[tex] \tt iii) \sqrt{ 68.89} \\ \tt \sqrt{ \frac{6889}{100} } \\ \tt \sqrt{ \frac{ {83}^{2} }{ {10}^{2} } } \\ \tt \frac{83}{10} \\ \tt 8.3[/tex]

[tex] \tt iv) \sqrt{84.64} \\ \tt\sqrt{ \frac{8464}{100} } \\ \tt\sqrt{ \frac{ {92}^{2} }{ {10}^{2} } } \\ \tt \frac{92}{10} \\ \tt9.2[/tex]

Answer:

1.6

4.3

8.3

9.2

Step-by-step explanation:

Hope it is helpful....