All categories

2 years ago

Which of the following numbers is between 2/5 and 7/8 ?

Mathematics

1 answer:

Ganezh [65]2 years ago

4 0

Answer:

Step-by-step explanation:

You might be interested in

7. A number of minor automobile accidents occur at various high-risk intersections in Teton County despite traffic lights. The T

Anit [1.1K]

Answer:

Modification has not reduced the number of accidents.

Step-by-step explanation:

$H_0: \mu\geq0\\H_a:\mu$

A B C D E F G H

Before modification 5 7 6 4 8 9 8 10

After modification 3 7 7 0 4 6 8 2

Difference -2 0 1 -4 -4 -3 0 -8

Mean of differences $M_d = \frac{sum}{8}=\frac{2+0-1+4+4+3-0+8}{8}=2.5$

Standard deviation of differences = $\sqrt{\frac{\sum(x-\bar{x})^2}{n}}=2.9277$

Formula of paired t test :

$t=\frac{M_d}{\frac{s}{\sqrt{n}}}\\t=\frac{2.5}{\frac{2.9277}{\sqrt{8}}}\\t = 2.4152$

Df = n-1 = 8-1 =7

$t critical = t_{(df, \alpha)}=t_{7,0.01}=2.998$

t critical> t calculated

So, We failed to reject null hypothesis

Hence modification has not reduced the number of accidents.

6 0

3 years ago

Help pls due in 5 minutes

coldgirl [10]

Answer:

Step-by-step explanation:

$2(\frac{7\times 6}{2})+3(13.1\times 7)$

ANSWER IS D

4 0

2 years ago

P1=(-1,3) and P2=(5,-1) Find the distance from p1 to P2

LenaWriter [7]

Answer:

7.21

Step-by-step explanation:

Given that:

P1=(-1,3) and P2=(5,-1)

Distance between two points :

d = Sqrt[(x2 - x1)² + (y2 - y1)²]

x1 = - 1 ; y1 = 3

x2 = 5 ; y2 = - 1

d = Sqrt[(5 - (-1))² + ((-1) - 3)²]

d = Sqrt[(5 + 1)² + (-1 - 3)²]

d = sqrt[(6)^2 + (-4)^2]

d = sqrt(36 + 16)

d = sqrt(52)

d = 7.21

3 0

2 years ago

Consider triangle ABC with M < C= 65, b = 5 and c = 6. Which option lists an expression that is equivalent to m <B?

tiny-mole [99]

Given:
m∠C = 65°
b = 5
c = 6

Apply the Law of Sines.
sin(B)/b = sin(C)/c
sin(B)/5 = sin(65)/6
sin(B) = (5*sin(65))/6 = 0.7553
B = arcsin(0.7553) = 49.05°

Answer: m∠B = arcsin(0.7553) = 49° (approx)

3 0

3 years ago

Use trig to find the legs of ABC if the base is AC and the height is BC (round to nearest tenth)

umka2103 [35]

Answer:

GIVEN :-

∠A = 15°
Length of AB (hypotenuse) = 60 ft

TO FIND :-

Length of BC
Length of AC
Area of ΔABC

FACTS TO KNOW BEFORE SOLVING :-

$\sin \theta = \frac{Side \: opposite \: to \: \theta}{Hypotenuse}$
$\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}$

SOLUTION :-

In ΔABC ,

$\sin 15 = \frac{BC}{60}$

$=> 0.2588... = \frac{BC}{60}$

$=> BC = (0.2588....) \times 60 = 15.5291.....$ ≈ 15.5 ft

$\cos 15 = \frac{AC}{60}$

$=> 0.9659..... = \frac{AC}{60}$

$=> AC = (0.9659.....) \times 60 = 57.9555.....$ ≈ 58 ft

Area of ΔABC = $\frac{1}{2} \times 58 \times 15.5 = 449.5 \:ft^2$

4 0

2 years ago