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Rudiy27
3 years ago
7

3 3/5−1 1/2 subtract

Mathematics
1 answer:
otez555 [7]3 years ago
7 0

Answer:

2 1/10

Steps:

You need both fractions to have the same denominator, you get 6/10 and 5/10

Subtract your fraction:

6/10 - 5/10 = 1/10

Then your whole numbers:

3 - 1 = 2

Then put your answers together:

2 1/10

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Consider the logarithms base 5. For each logarithmic expression below, either calculate the value of the expression or explain w
Tom [10]

Answer:

log₅(3125) = 5

Step-by-step explanation:

Given:

log₅(3125)

Now,

using the property of log function that

logₐ(b) = \frac{\log(b)}{\log(a)}

thus,

Therefore, applying the above property, we get

⇒ \frac{\log(3125)}{\log(5)}   (here log = log base 10)

now,

3125 = 5⁵

thus,

⇒  \frac{\log(5^5)}{\log(5)}

Now,

we know from the properties of log function that

log(aᵇ) = b × log(a)

therefore applying the above property we get

⇒ \frac{5\log(5)}{\log(5)}

or

⇒ 5

Hence,

log₅(3125) = 5

8 0
3 years ago
Barbara sells iced tea for $1. 49 per bottle and water for $1. 25 per bottle. She wrote an equation to find the number of bottle
Sedbober [7]

The correct option is The Barbara equation did not consider the number of bottles of water.

Given,

The selling price of iced tea is $1.49 per bottle.

The selling price of water is $1.25 per bottle.

Equation written by the Barbara,

1.25x+1.49=100

Here in this question Barbara multiply the selling price of bottle with the number of bottle using the coefficient x, But she did not use any coefficient for the bottle of water. The correct equation is,

1.25x+1.49y=100

where<em> y </em>is the number of water bottle sold to earn the profit of $100.

Hence the correct option is the Barbara equation did not consider the number of bottles of water.

For more about the linear equation, follow the link below-

brainly.com/question/11897796

3 0
3 years ago
Jupiter High School needs to select a new mascot. Four designs have been submitted and the school has to vote. Which method woul
grigory [225]
A. have each student vote in first period on monday. the one with the most votes win.
6 0
3 years ago
Read 2 more answers
If $1=Rs. 102.50 and £ 1=Rs. 140, how many dollars equals £ 5?​
Zinaida [17]

Step-by-step explanation:

it is calculated by chain rule,...

3 0
3 years ago
Height of Dutch Men. Males in the Netherlands are the tallest, on average, in the world with an average height of 183 centimeter
trapecia [35]

Answer:

a) P(X

P(z

b) P(X>195) =P(Z>\frac{195-183}{10.5})=P(Z>1.143)

P(z>1.143)=1-P(Z

c) P(173

P(-0.953

P(-0.953

d) P(\bar X >190)=P(Z>\frac{190-183}{\frac{10.5}{\sqrt{1000}}}=21.08)

And using a calculator, excel ir the normal standard table we have that:

P(Z>21.08)=1-P(Z

So for this case we expect anyone with a heigth higher than 190 cm in a random sample of 1000.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

X \sim N(183,10.5)  

Where \mu=183 and \sigma=10.5

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X

And we can find this probability with the normal standard table or with excel:

P(z

Part b

P(X>195)

P(X>195) =P(Z>\frac{195-183}{10.5})=P(Z>1.143)

And we can find this probability with the normal standard table or with excel: using the complement rule

P(z>1.143)=1-P(Z

Part c

P(173

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(173And we can find this probability on this way:

P(-0.953

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.  

P(-0.953Part d

Since the distributiion for X is normal then the distribution for the sample mean is also normal and given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we eant this probability:

P(\bar X >190)=P(Z>\frac{190-183}{\frac{10.5}{\sqrt{1000}}}=21.08)

And using a calculator, excel ir the normal standard table we have that:

P(Z>21.08)=1-P(Z

So for this case we expect anyone with a heigth higher than 190 cm in a random sample of 1000.

3 0
3 years ago
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