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lbvjy [14]
3 years ago
8

A manufacturer gets a shipment of 580 batteries of which 27 are defective. The store manager wants to be able to test random sam

ples in future shipments. She tests a random sample of 20 batteries in this shipment to see whether a sample of that size produces a reasonable inference about the entire shipment. Fill in the blanks to make this statement true. please help.
Mathematics
1 answer:
alekssr [168]3 years ago
8 0

Kate

Step-by-step explanation:

hcl+Na2co3=2Nacl+h2o+co2

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I think the correct answer from the choices listed above is the first option. It is a pie chart that would be <span>a good tool to represent data in terms of percentage of a whole. It is a graph that makes use of a circle divided into parts that represents the proportion of the whole.</span>
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In ∆MNP, m∠N = 90º, NH – altitude, m∠P = 21º, PM = 4 cm. Find MH.
Sveta_85 [38]

Answer:

0.51 cm

Step-by-step explanation:

In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°

By the sine definition,

\sin \angle P=\dfrac{\text{Opposite leg}}{\text{Hypotenuse}}=\dfrac{MN}{MP}\\ \\MN=MP\sin \angle P\\ \\MN=4\sin 21^{\circ}\approx 1.43\ cm

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

\cos \angle M=\dfrac{\text{Adjacent leg}}{\text{Hypotenuse}}=\dfrac{MH}{MN}\\ \\MH=MN\cos \angle M

In the right triangle, two acute angles are always complementary, so

m\angle M=90^{\circ}-m\angle P=90^{\circ}-21^{\circ}=69^{\circ}

Thus,

MH=1.43\cos 69^{\circ}\approx 0.51\ cm

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Step-by-step explanation:

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