In a normal distribution, a data value located 0.8 standard deviations below the mean has Standard Score: z =

PLEASE HELP!!! here are two different strategies to find the new price of a hat after a discount of 40%. The hat was originally

Yakvenalex [24]

Answer:

Step-by-step explanation:

Method 1: Calculate 40% discount on original price, then subtract discount from original price.

Amount of discount = 40% of $30

= 0.40 × $30

= $12

New price = $30 - $12 = $18

Method 2:

New price = (100% - discount percentage) of original price

= 60% of original price

= 0.60 × $30

= $18

6 0

2 years ago

Find the measure of each missing angle.

nadya68 [22]

Answer:

Step-by-step explanation:

Angle sum property of triangle: Sum of all the angles of a triangle is 180

Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of each of these lines but on the opposite side of the transversal are called alternate interior angles

In ΔABC,

∠1 + 90 + 38 = 180 {angle sum property of triangle}

∠1 + 128 = 180

∠1 = 180 - 128

$\sf \boxed{\bf \angle 1 = 52^ \°}$

AB // CD and AC is transversal.

$\sf \boxed{\bf \angle 3 = 38^\circ}$ {Alternate interior angles are equal}

In ΔACD,

∠2 + ∠3 + 63 = 180 {angle sum property of triangle}

∠2 + 38 +63 = 180

∠2 + 101 =180

∠2 = 180 - 101

$\sf \boxed{\bf \angle 2 = 79^ \°}$

5 0

1 year ago

tank contains 20002000 liters (L) of a solution consisting of 112112 kg of salt dissolved in water. Pure water is pumped into t

Ganezh [65]

Answer:

Answer:

t ≅ 5.09 min

Step-by-step explanation:

we have that if in 4000 L/sol there is 132 kg salt and the pumping speed is 12L/s, we must find how much of salt is pumping per second and then find the amount of salt remaining

12L/s*132kg salt/4000L = 0.396 Kg salt/s, this means that 0.396 kg per second comes out , It should be found that the amount of salt must be drained so that only 11 kg of salt remain

132kg salt - 11 kg salt = 121 kg salt, so

121Kg salt*s/0.396Kg salt ≅ 305.55 s ⇒ 305.55s*min/60s ≅ 5.09 min

Step-by-step explanation:

6 0

3 years ago

_x(-26) = 26 what is the first part

Aliun [14]

Answer:

-

Step-by-step explanation:

Two negatives create a positive.

6 0