Answer:
<h2>x = 3</h2>
Step-by-step explanation:
∠QRT and ∠SRT are supplementary angles,
therefore m∠QRT + m∠SRT = 180°.
(45x)° + m∠SRT = 180° <em>subtract (45x)° from both sides</em>
m∠SRT = 180° - (45x)°
We know: the sum of the measures of the angles of the triangle is equal to 180 °. Therefore we have the equation:
(180 - 45x) + (57 + x) + 25x = 180 <em>combine like terms</em>
(-45x + x + 25x) + (180 + 57) = 180
-19x + 237 = 180 <em>subtract 237 from both sides</em>
-19x = -57 <em>divide both sides by (-19)</em>
x = 3
Answer:
a) 14960 bottles
b) 502 bottles
Step-by-step explanation:
Given that:
Mean (μ) = 24 ounces, standard deviation (σ) = 0.14 ounces
a) From empirical rule (68−95−99.7%) , 68% of the population fall within 1 standard deviation of the mean (μ ± 1σ).
Therefore 68% fall within 0.14 ounces of the mean
the number of bottle = 22,000*68% = 14960 bottles
b) To solve this we are going to use the z score equation given as:
where x is the raw score = 23.72
From the normal probability distribution table: P(X < 23.72) = P (Z < -2) = 0.0228
The number of rejected bottles = 22000 × 0.0228 = 502 bottles
Answer:
Answer:
x=−24
Step-by-step explanation:
the only variable is x and -24 is the value of this variable
Replace every x you see in the function with 1 and simplify.
Let x be 1.
f(1) = 4(1)^2 -(1) + 3
f(1) = 4(1) - 1 + 3
f(1) = 4 - 1 + 3
f(1) = 3 + 3
f(1) = 6
Done!
