Ask question

Ask question

All categories

Vera_Pavlovna [14]

2 years ago

6

Exam scores in a large class are normally distributed with a mean of 60

1 answer:

Nata [24]2 years ago

4 0

Answer:

our mama

Step-by-step explanation:

You might be interested in

A 5-lb. force acting in the direction of (5,-3) moves an object just over 12 ft. from point (0,6) to (7,-4). Find the work done

snow_lady [41]

Magnitude of force= |F|= 5 lb
In the direction of vector,let say M=5i-3j
As, we know that vector consists of magnitude and direction( unit vector)
F=|F| M(unit vector).........1
In order to find the unit vector, divide the vector M by its magnitude.
M(unit vector)=(5i-3j)/√34
Now, the eq. 1 becomes
  F=5(5i-3j)/√34
  F=(25i-15j)/√34
As, the object moves from point let say P=0i+6j to Q=7i-4j
so,
PQ=Q-P
=(7-0)i+(-4-6)j
=7i - 10j
So,
W= F.PQ
  =((25i-15j)/√34).(7i-10j)
=(7*25/√34)+(-10*-15/√34)
=55.7 lb*ft
=56 lb*ft
Option C is correct

4 0

2 years ago

Help me solve,Brainlist for first to answer

Vanyuwa [196]

Answer:

(i) the other two sides are 6 and 6 $\sqrt{2}$

(ii) the other two sides are $\frac{4}{3} and \frac{8}{3}$

Step-by-step explanation:

(i) Sine: sin(θ) = Opposite ÷ Hypotenuse

Cosine: cos(θ) = Adjacent ÷ Hypotenuse

Tangent: tan(θ) = Opposite ÷ Adjacent

Here adjacent side = 6

opposite side = d

angle = 45°

other angles are 90° and 45°

tan (45) = Opposite ÷ Adjacent

1 = d ÷ 6

∴ d = 6 × 1 = 6

so opposite side = 6

Hypotenuse ² = opposite side ² + adjacent side²

= 6² + 6²

= 36 + 36

= 72

hypotenuse = $\sqrt{72}$

= 6 $\sqrt{2}$

the other two sides are 6 and 6 $\sqrt{2}$

(ii) here adjacent side = 4√3

angle = 30°

other angles are 90° and 60°

opposite side = d

tan ( 30) = opposite ÷ adjacent

$\frac{1}{\sqrt{3}}$ = d ÷ 4√3

$\frac{1}{\sqrt{3}}$ = d × ( $\frac{\sqrt{3}}{4}$ )

3 d = 4

therefore d = $\frac{4}{3}$

therefore opposite side = $\frac{4}{3}$

Hypotenuse ² = opposite side ² + adjacent side²

=( $\frac{4}{3}$ )² +( $\frac{4}{\sqrt{3}}$ )²

= $\frac{64}{9}$

therefore hypotenuse = $\sqrt{\frac{64}{9}}$

= $\frac{8}{3}$

the other two sides are $\frac{4}{3} and \frac{8}{3}$

7 0

3 years ago

Convert 15°C to Fahrenheit. Use the formula F = 9/5C + 32.

viva [34]

The answer is A) 59

9/5(15)+32 =59

3 0

3 years ago

Read 2 more answers

Find the missing side or angle.

bonufazy [111]

Answer:

c = 6.1

Step-by-step explanation:

Given that: B = 18° , C = 152°, and b = 4.

The missing side, c, can be determined by applying the sine rule which states that:

$\frac{b}{Sin B}$ = $\frac{c}{Sin C}$

$\frac{4}{Sin 18^{o} }$ = $\frac{c}{Sin 152^{o} }$

c = $\frac{4* Sin 152^{o} }{Sin 18^{o} }$

= $\frac{1.8779}{0.3090}$

= 6.0773

c = 6.1

Therefore, the value of the missing side, c, is 6.1

3 0

2 years ago

Write the improper fraction as a mixed number in simplest form. 11/2

pantera1 [17]

Answer:

5 and 1/2

Step-by-step explanation: 2 goes into 11 5 times without passing it. That one that is left over would be the numerator and 2 as the demonator.

5 0

2 years ago