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3 years ago

Which of the following is equivalent to log(50) 7 rounded to the nearest hundredth

Mathematics

1 answer:

Keith_Richards [23]3 years ago

3 0

2.01

assuming you mean $log_{7}$ (50)

to evaluate require to change the base from 7 to 10

= $log_{10}$ (50) / $log_{10}$ (7) = 2.01 ( nearest hundredth )

Using the log key on calculator to evaluate

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The outboard engine on Steve's boat uses a fuel-to-oil mixture in a 50:1 ratio. If Steve puts 2.5 gallons of fuel in the tank, h

Llana [10]

1 gallon = 128 fluid ounces
2.5 gallons = 2.5 x 128 = 320 fluid ounces

Steve's boat uses 50 fluid ounce of fuel to 1 fluid ounce of oil, thus
for 320 fluid ounce of fuel it will use 320/50 = 6.4 fluid ounce of oil.

5 0

3 years ago

1. Evaluate the expression for the given value of the variable. 4(z+ 4) + 5 for z = 2

Lunna [17]

Answer:

Step-by-step explanation:

4(z+ 4) + 5 z = 2

4(2+4)+5

4(6)+5

24+5

=29

7 0

3 years ago

Read 2 more answers

For a standard normal distribution, find the approximate value of p (negative 0.78 less-than-or-equal-to z less-than-or-equal-to

topjm [15]

The approximate value of P(-0.78 ≤ Z ≤ 1.16) is obtained being 0.6593

<h3>How to get the z scores?</h3>

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have $X \sim N(\mu, \sigma)$

(X is following normal distribution with mean $\mu$ and standard deviation $\sigma$ )

then it can be converted to standard normal distribution as

$Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)$

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

$P(Z \leq z) = P(Z < z) )$

Also, know that if we look for Z = z in z-tables, the p-value we get is

$P(Z \leq z) = \rm p \: value$

For this case, we have to find:

$P(-0.78\leq Z \leq 1.16)$

It can be rewritten as:

$P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z < -0.78) \\P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z \leq -0.78)$

The p-values for Z = 1.16 and Z = -0.78 from the z-table is found as 0.8770 and 0.2177 respectively, and therefore, we get:

$P(-0.78\leq Z \leq 1.16) = P(Z \leq 1.16) - P(Z \leq -0.78)\\P(-0.78\leq Z \leq 1.16) = 0.8770 - 0.2177 = 0.6593$

Thus, the approximate value of P(-0.78 ≤ Z ≤ 1.16) is obtained being 0.6593

Learn more about z-score here:

brainly.com/question/21262765

8 0

2 years ago

One positive number is 5 times another number. The difference between the two numbers is 200, find the numbers.

Ilya [14]

X = 5y, where x > 0 and y > 0;
x - y = 200 => 5y - y = 200 => 4y = 200 => y = 200/4 => y = 50 => x = 250.

4 0

3 years ago

The area of a circle 220mm in diameter is approximately how many times greater than the area of a circle 30mm in diameter?

zmey [24]

The first circle is approximately 44 times greater than the second cirle

Radius = 110 mm
110² = 10,000 mm² = Area

Radius = 15 mm
15² = 225 mm² = Area

Hope this helps!

5 0

4 years ago