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Assoli18 [71]
3 years ago
5

Max travel 324 miles in six hours write the unit rate

Mathematics
2 answers:
romanna [79]3 years ago
5 0

Answer:

Step-by-step explanation:

Speed v = distance d/ time t

v = 324/6

v = 54miles/hr

Amiraneli [1.4K]3 years ago
4 0

Answer:

54mph

Step-by-step explanation:

Answer:

= 54 miles per hour

Showing WorkThis is a fraction equal to

324 miles ÷ 6 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 6

324 miles

÷ 6

6 hours

÷ 6

=

54 miles

1 hour

=

54 miles

hour

= 54 miles per hour

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In the diagram, line x|| line y. Find the angle measures below.
Yanka [14]

Answer:

<1 = 95

<2 =85

Step-by-step explanation:

<1 = 95

They are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

<1 + <2 = 180  since they form a straight line

95+ <2 =190

Subtract 95 from each side

95-95+<2 =180-95

<2 =85

5 0
3 years ago
Can anyone please help with these 2 questions. If you can, please show step-by-step.
valentinak56 [21]

Answer:

1. x = 21

2. m∡ABC =  51°

Step-by-step explanation:

First problem, solve for x

the sum of inside angles of a triangle is 180

also the supplementary angle for L = 180 - 100 is 80°

now you can add all angles

80 + 2x - 11 + 2x + 27 = 180

4x + 96 = 180

4x = 84

x = 21

Second problem, solve for m∡ABC

the sum of inside angles of a triangle is 180

also the supplementary angle for C = 180 - 148 is 32°

now you can add all angles

31 + 2x - 15 + x - 5 = 180

3x + 12 = 180

3x = 168

x= 56,

now solve for  m∡ABC = (x - 5)° = (56 - 5)° = 51°

8 0
3 years ago
Read 2 more answers
A simple random sample of size n=14 is obtained from a population with μ=64 and σ=19.
madam [21]

Answer:

a) A. The population must be normally distributed

b) P(X < 68.2) = 0.7967

c) P(X  ≥  65.6) = 0.3745

Step-by-step explanation:

a) The population is normally distributed having a mean (\mu_x) = 64  and a standard deviation (\sigma_x) = \frac{19}{\sqrt{14} }

b) P(X < 68.2)

First me need to calculate the z score (z). This is given by the equation:

z=\frac{x-\mu_x}{\sigma_x} but μ=64 and σ=19 and n=14,  \mu_x=\mu=64 and \sigma_x=\frac{ \sigma}{\sqrt{n} }=\frac{19}{\sqrt{14} }

Therefore: z=\frac{68.2-64}{\frac{19}{\sqrt{14} } }=0.83

From z table, P(X < 68.2) = P(z < 0.83) = 0.7967

P(X < 68.2) = 0.7967

c) P(X  ≥  65.6)

First me need to calculate the z score (z). This is given by the equation:

z=\frac{x-\mu_x}{\sigma_x}

Therefore: z=\frac{65.6-64}{\frac{19}{\sqrt{14} } }=0.32

From z table,  P(X  ≥  65.6) =  P(z  ≥  0.32) = 1 -  P(z  <  0.32) = 1 - 0.6255 = 0.3745

P(X  ≥  65.6) = 0.3745

P(X < 68.2) = 0.7967

5 0
3 years ago
An architect was building a
PolarNik [594]

Answer:

57

Step-by-step explanation:

8 0
3 years ago
Convert 2.25 into decimal form
Anna007 [38]
It is 0.0225 because p<span>ercentage means 'out of 100 100 '. Convert the </span>decimal<span> number to a fraction by shifting the </span>decimal<span> point in both the numerator and denominator. Since there are 2 2 numbers to the right of the </span>decimal<span> point, move the </span>decimal<span> point 2 2 places to the right.</span>
6 0
3 years ago
Read 2 more answers
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