Answer:
and 
Step-by-step explanation:
we have
we know that
Compound inequality can be divided into two inequalities
so
rewrite
and
therefore
An equivalent form of the compound inequality is
and
Answer:
Juan imprimió 7 páginas a color.
Step-by-step explanation:
Llamemos "b" a las copias en blanco y negro y "c" a las copias en color.
Juan imprimió 75 páginas. En forma simbólica es:
b + c = 75
b = 75 - c [1]
El costo de impresión de cada página en una biblioteca es de 5 centavos si es en blanco y negro o 50 centavos si es a color. En total pago $6.90. En forma simbólica es:
0.05b + 0.5c = 6.90 [2]
Si reemplazamos [1] en [2],
0.05(75-c) + 0.5c = 6.90
3.75 - 0.05c + 0.5c = 6.90
0.45c = 3.15
c = 7
Juan imprimió 7 páginas a color.
Answer:
a) The probability that this whole shipment will be accepted is 30%.
b) Many of the shipments with this rate of defective aspirin tablets will be rejected.
Step-by-step explanation:
We have a shipment of 3000 aspirin tablets, with a 5% rate of defects.
We select a sample of size 48 and test for defectives.
If more than one aspirin is defective, the batch is rejected.
The amount of defective aspirin tablets X can be modeled as a binomial distribution random variable, with p=0.55 and n=48
We have to calculate the probabilities that X is equal or less than 1: P(X≤1).
Step-by-step explanation:
<h2>Length of x is 98.2 m</h2><h2 /><h2>Step-by-step explanation:</h2><h2 /><h2>Step 1:</h2><h2 /><h2>Use the trigonometric ratio tan 27° to find the common side of both the right angled triangles.</h2><h2 /><h2>tan 27° = opposite side/adjacent side =</h2><h2 /><h2>opposite side/9</h2><h2 /><h2>Opposite side = 9 tan 27° 9 x 3.27 =</h2><h2 /><h2>-29.46 m</h2><h2 /><h2>Step 2:</h2><h2 /><h2>Use this side and trigonometric ratio cosine to find the value of x.</h2><h2 /><h2>cos 49° = adjacent side/x = -29.46/x</h2><h2 /><h2>x = -29.46/cos 49° -29.46/0.30</h2><h2 /><h2>= 98.2 m (negative value neglected)</h2><h2 /><h2>
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Answer:
Reduced fraction: 14/25
Step-by-step explanation:
To write 0.56 in terms of fractions we need to multiply and divide the number by 100:
(0.56 * 100)/100 = 56/100. Then we simplify the fraction by dividing the numerator and denominator by the common factor 2 as many times as possible:
56/100 = 28/50 = 14/25
The fraction 14/25 cannot be more simplified
