All categories

2 years ago

©By rounding to 1 significant figure, estimate142.75 x 9.56

Mathematics

2 answers:

zalisa [80]2 years ago

8 0

Answer:1000 to one s.f

Step-by-step explanation:

To find the product of 142.75×9.56

We get

=1364.69

To one s.f

=1000

prohojiy [21]2 years ago

3 0

$142.75 \times 9.56 = 1364.69$

Therefore 1364.69 should be rounded up to 1000.

You might be interested in

Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 4

TiliK225 [7]

Answer:

Correct solution:

45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64

Step-by-step explanation:

they rode 45.7, 40.9, and 38 miles

= (45.7 + 40.9 + 38) miles

= 124.6 miles

Convert 124 .6 miles to kilometers

1 kilometer = 0.621 miles

124.60 miles = 124.60 / 0.621

= 200.64 kilometers

This is the correct solution because he divided 124.60 miles by 0.621

45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64

4 0

2 years ago

Read 2 more answers

Times for an ambulance to respond to a medical emergency in a certain town are normally distributed with a mean of 400 seconds a

garri49 [273]

Answer:

Step-by-step explanation:

In the normal distribution curve, the mean is in the middle and each line to the left and to the right of that mean represent 1- and 1+ the standard deviation. If our mean is 400, then 400 + 50 = 450; 450 + 50 = 500; 500 + 50 = 550. Going from the mean to the left, we subtract the standard deviation and 400 - 50 = 350; 350 - 50 = 300; 300 - 50 = 250. We are interested in the range that falls between 350 and 450 as a percentage. That range represents the two middle sections, each containing 34% of the data. So the total percentage of response times is 68%. We are looking then for 68% of the 144 emergency response times in town. .68(144) = 97.92 or 98 emergencies that have response times of between 350 and 450 seconds.

7 0

2 years ago

Read 2 more answers

At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water t

grandymaker [24]

Answer:

(a1) The probability that temperature increase will be less than 20°C is 0.667.

(a2) The probability that temperature increase will be between 20°C and 22°C is 0.133.

(b) The probability that at any point of time the temperature increase is potentially dangerous is 0.467.

Step-by-step explanation:

Let X = temperature increase.

The random variable X follows a continuous Uniform distribution, distributed over the range [10°C, 25°C].

The probability density function of X is:

$f(X)=\left \{ {{\frac{1}{25-10}=\frac{1}{15};\ x\in [10, 25]} \atop {0;\ otherwise}} \right.$

(a1)

Compute the probability that temperature increase will be less than 20°C as follows:

$P(X$

Thus, the probability that temperature increase will be less than 20°C is 0.667.

(a2)

Compute the probability that temperature increase will be between 20°C and 22°C as follows:

$P(20$

Thus, the probability that temperature increase will be between 20°C and 22°C is 0.133.

(b)

Compute the probability that at any point of time the temperature increase is potentially dangerous as follows:

$P(X>18)=\int\limits^{25}_{18}{\frac{1}{15}}\, dx\\=\frac{1}{15}\int\limits^{25}_{18}{dx}\,\\=\frac{1}{15}[x]^{25}_{18}=\frac{1}{15}[25-18]=\frac{7}{15}\\=0.467$

Thus, the probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c)

Compute the expected value of the uniform random variable X as follows:

$E(X)=\frac{1}{2}[10+25]=\frac{35}{2}=17.5$

Thus, the expected value of the temperature increase is 17.5°C.

7 0

2 years ago

Georgina has a cube-shaped ring box. The volume of the box is 125 cubic centimeters. What is the length of the box in centimeter

omeli [17]

you need to find one side then see what multiples are equal to your answer

8 0

2 years ago

In an athletics team, tall members are three times more likely to win a medal than short members. this year the team has won 60

nirvana33 [79]

Well lets say y = the amount of medals won. lets say x is the amount won by short people and z is the amount won by tall. we know that the total medals is the total medals won by short and tall so:
y = x + z

it says that tall people are 3.times more likely. this would mean they won three times more than short people. so
z = 3x.

so if we know what z equals, we can replace z with what it is equal to. so:
y = x + z
y = x + 3x
y = 4x

we know that 60 medals were won so
y = 4x
60 = 4x
x = 15

that is the amount won by short people

4 0

2 years ago

©By rounding to 1 significant figure, estimate142.75 x 9.56​

©By rounding to 1 significant figure, estimate142.75 x 9.56