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2 years ago

What symbol compares these numbers 98.0 or 97.7

Mathematics

2 answers:

tia_tia [17]2 years ago

8 0

Answer:

98.0 > 97.7

Step-by-step explanation:

">" Means greater than

"<" Means less than

Two other comparison symbols are ≥ (greater than or equal to) and ≤ (less than or equal to).

Since 98.0 is greater than 97.7, you use the greater than symbol >.

Vikentia [17]2 years ago

4 0

Answer:

Step-by-step explanation:

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-5d + 11 = 8 - 3d<br> -5d + 11 + 3d = 8 - 3d + 3d

rjkz [21]

Answer:

do you have any options to choose from

5 0

2 years ago

He volume of a rectangular prism is 2,058 cubic cm. The length of the prism is 3 times the width. The height is twice the width.

MrMuchimi

Answer: the height of the prism is 14 cm.

Step-by-step explanation:

The formula for determining the volume of a rectangular prism is expressed as

Volume = length × height × width

Volume = LWH

The length of the prism is 3 times the width. It means that

L = 3W

The height is twice the width. This means that

H = 2W

Therefore,

Volume = 3W × × W × 2W = 6W³

The volume of a rectangular prism is 2,058 cubic cm. This means that

2058 = 6W³

Dividing through by 6, it becomes

343 = W³

W = 7

Therefore, the height of the prism would be

H = 2W = 2 × 7

H = 14 cm

3 0

3 years ago

In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A

vredina [299]

Answer:

c) P(270≤x≤280)=0.572

d) P(x=280)=0.091

Step-by-step explanation:

The population of bearings have a proportion p=0.90 of satisfactory thickness.

The shipments will be treated as random samples, of size n=500, taken out of the population of bearings.

As the sample size is big, we will model the amount of satisfactory bearings per shipment as a normally distributed variable (if the sample was small, a binomial distirbution would be more precise and appropiate).

The mean of this distribution will be:

$\mu_s=np=500*0.90=450$

The standard deviation will be:

$\sigma_s=\sqrt{np(1-p)}=\sqrt{500*0.90*0.10}=\sqrt{45}=6.7$

We can calculate the probability that a shipment is acceptable (at least 440 bearings meet the specification) calculating the z-score for X=440 and then the probability of this z-score:

$z=(x-\mu_s)/\sigma_s=(440-450)/6.7=-10/6.7=-1.49\\\\P(z>-1.49)=0.932$

Now, we have to create a new sampling distribution for the shipments. The size is n=300 and p=0.932.

The mean of this sampling distribution is:

$\mu=np=300*0.932=279.6$

The standard deviation will be:

$\sigma=\sqrt{np(1-p)}=\sqrt{300*0.932*0.068}=\sqrt{19}=4.36$

c) The probability that between 270 and 280 out of 300 shipments are acceptable can be calculated with the z-score and using the continuity factor, as this is modeled as a continuos variable:

$P(270\leq x\leq280)=P(269.5$

d) The probability that 280 out of 300 shipments are acceptable can be calculated using again the continuity factor correction:

$P(X=280)=P(279.5$

8 0

3 years ago

Determine which equations have the same solution set as 2/3 -x +1/6 = 6x by recognizing properties, rather than solving. Check a

bonufazy [111]

Answer:

The answer is "0.1190".

Step-by-step explanation:

Given:

$\to \frac{2}{3} -x +\frac{1}{6} = 6x\\\\\to \frac{2}{3} +\frac{1}{6} = 6x+x\\\\\to \frac{4+1}{6} = 7x\\\\\to \frac{5}{6} = 7x\\\\\to x=\frac{5}{6\times 7} \\\\\to x=\frac{5}{42}\\ \\\to x= 0.1190$

5 0

3 years ago

What is the value of X?

rodikova [14]

Answer:

102

Step-by-step explanation:

triangle area = 180 degrees

straight line = 180 degrees

180 - 127 = 53

49 + 53 + 3rd angle = 180

3rd angle = 78

180-78 = x

x = 102

4 0

2 years ago