Answer:
0.24315
Step-by-step explanation:
Using the z score formula to solve this question
z = (x - μ) / σ,
Such that:
x = raw score
μ = population mean
σ = population standard deviation.
From the question:
x = 3000
μ = 3550
σ = 870
z = (3000 - 3550) / 870
z = -550/870
z = -0.6962
Using the z score table as well as probability calculator(as requested in the question to find the z score)
The probability of having less than 3000 is obtained as:
P(x<3000) = 0.24315
Answer:
2kg
Step-by-step explanation:
Let the sum of the other 2 bricks be R. Given that the heaviest brick weighs 2/3 times as much as the other 2 bricks in total, then the weight of the heaviest brick H in terms of the weight of the other 2 will be
H = 2/3 * R
= 2R/3
Given that the 3 bricks weigh 5kg in total then,
2R/3 + R = 5
Multiply through the equation by 3
2R + 3R = 15
5R = 15
Divide both sides by 5
R = 15/5
= 3
The weight of the heaviest brick is 2R/3. Since R = 3, the heaviest block weighs
= 2 * 3/3
= 2kg
Answer:
A) p = 2x - 4 for the expression. B) Your team scored 44 points.
Step-by-step explanation:
Let <u>P</u> represent the points your team made.
Since the question says "Your basketball team scored 4 fewer than twice as many points as the other team." this is how I came up with the expression.
p = 2x - 4 ( our points = 2 times more then the other teams points minus 4.
Using this expression and the given information that the other team made 24 points, I solved B.
44 = 2(24) - 4.
<span>30+35 = 65
180 - 65 = 115 degrees</span>A triangle has angle measurements of 30 and 35. What is the measure of the third angle?180 degreesWhat do the angles of a triangle add up to?s=4How many sides are there in a shape whose interior angles have a sum of 720 degrees?<span>40 + 50 = 90
180 - 90 = 90 degrees</span>A triangle has angle measurements of 40 and 50. What is the measure of the third angle?<span>45 + 45 = 90
180 - 90 = 90 degrees</span>A triangle has two angles that measure 45 degrees. What is the measure of the third angle?<span>90 + 63 - 153
180 - 153 = 27 degrees</span>A right triangle has one angle that measures 63 degrees. What is the measure of the third angle?105 degreesIf the measure of angle 1 is 150, and the measure of angle 4 is 45, what is the measure of angle 3?75 degreesIf the measure of angle 3 is 145, and the measure of angle 2 is 70 what is the measure of angle 1?42 degreesIf a triangle has a right angle and an angle that measures 48 degrees, what is the measurement of the third interior angle?60 degreesIf a triangle has 3 equal interior angles, what is the measurement of 1 of the angles?TriangleHas 3 angles, 3 sides and is a closed 2-D figure14If a Triangle has angles that measure (3x+2) (8x+4) (x+6) , what is the value of x?1080 degreesWhat is the sum of the interior angles of a dodecagon (12 sides)?162 degreesWhat is the measure of one angle in a regular icosagon (20 sides)?360 degreesWhat is the sum of the exterior angles of an octagon?40 degreesWhat is the measure of one exterior angle of a regular nonagon?20, 60, 100The measures of the angles of a triangle are in the ratio 1:3:5. What is the measure of each angle?36, 54, 90The measures of the angles of a triangle are in the ratio 2:3:5. What is the measure of each angle?45, 60, 75The measures of the angles of a triangle are in the ratio 3:4:5. What is the measure of each angle?
To find if a series is either geometric or arithmetic:
it must satisfy this property:
Arithmetic:
a(n+1) - a(n) = const
Geometric:
a(n+1)/a(n) = const
In your case:
r1 = 7 -4 = 3
r2 = 12 - 7 = 5
r1 != r2 (not arirthmetic)
Geometric check:
r1 = 7/4
r2 = 12/7
r1 != r2 (not Geometric)
so neither.
