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likoan [24]
3 years ago
9

What is the general rule of the following geometric sequence-4; -1; -1/4​

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
4 0

Answer:

Each of these numbers is divided by four to get the next number in the sequence, so the rule of this would be divide by 4.

Step-by-step explanation:

-4/4 is -1, -1/4 is -1/4 (negative one-fourth), and so on.

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An astronaut weighs 174 pound on earth and 29 pound on the moon, if his daughter weighs 108 pounds on earth, what is his daughte
jekas [21]

Answer:

If my thinking is right she should weigh about 18 pounds or so.

Step-by-step explanation:

17% of 174 is 29

17% of 108 is 18

4 0
3 years ago
A bus travels from Station A to Station B, and a truck travels from Station B to Station A on the same road. The speed of the bu
prisoha [69]

Answer:

The distance between the two train stations is 1728 km

Step-by-step explanation:

The speed of the bus = 54 km/h

The speed of the truck = 48 km/h

When the bus and truck meet again, the distance covered by the bus = 216 km more than he distance traveled by the truck

Let the distance between the two train stations = x

Let the location where they first meet be y from station A we have;

The location where they meet again = y - 216 km

Therefore, we have;

Location where they

The time for the truck and the bus to meet again = t

Therefore, 54 × t - 48 × t = 216 km

6·t = 216 km

t = 36 hours

Therefore, the time for the bus to travel x + 216 km = 36 hours

54 × 36 = 1944 = x + 216

x = 1944 - 216 = 1728 km

The distance between the two train stations = 1728 km.

3 0
3 years ago
A machine that produces ball bearings has initially been set so that the true average diameter of the bearings it produces is .5
lara [203]

Answer:

7.3% of the bearings produced will not be acceptable

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 0.499, \sigma = 0.002

Target value of .500 in. A bearing is acceptable if its diameter is within .004 in. of this target value.

So bearing larger than 0.504 in or smaller than 0.496 in are not acceptable.

Larger than 0.504

1 subtracted by the pvalue of Z when X = 0.504.

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.504 - 0.494}{0.002}

Z = 2.5

Z = 2.5 has a pvalue of 0.9938

1 - 0.9938= 0.0062

Smaller than 0.496

pvalue of Z when X = -1.5

Z = \frac{X - \mu}{\sigma}

Z = \frac{0.496 - 0.494}{0.002}

Z = -1.5

Z = -1.5 has a pvalue of 0.0668

0.0668 + 0.0062 = 0.073

7.3% of the bearings produced will not be acceptable

4 0
3 years ago
Can someone please help me i have no one to help me
GREYUIT [131]
It is an acute triangle because none of its angles are equal to (right) or above (obtuse) 90 degrees.
6 0
3 years ago
Read 2 more answers
What's the missing Vertical angles
skelet666 [1.2K]
1.) <1=25°, <2=155°, <4=155°


5 0
3 years ago
Read 2 more answers
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