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2 years ago

Find the geometric mean of 5 and 7

Mathematics

1 answer:

dsp732 years ago

3 0

Answer:

$\sqrt{35}$

Step-by-step explanation:

A geometric mean is just $\sqrt[n]{term one * term two * term three * etc.}$ , where n is the number of terms.

i.e. Geometric mean of 5, 6, 7: there are three values, so the mean is $\sqrt[3]{5*6*7}$

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1. Find the area of the shaded area of this figure:

statuscvo [17]

(area of square) - (area of triangle)

We know the are of a square is equal to s^2, where s is the side length.

While the are of a right angle tringle is 1/2*base*height

Then we have,

s = 10
base = 4
height = 4

(area of square) - (area of triangle)

=> (10^2) - (1/2)(4)(4)
=> 100 - 8
=> 92

Finally we get: 92 in^2

8 0

1 year ago

Patrycja goes shopping in a supermarket.

inysia [295]

Answer:£0.37

Step-by-step explanation:

£4.44/12=£0.37

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2 years ago

On a coordinate plane, a solid straight line has a negative slope and goes through (negative 2, 2) and (2, negative 8). Everythi

Alinara [238K]

The linear inequality $y \leq 5/2(x + 2)$ will not have a shared solution set with the graphed linear inequality. the correct option is D.

<h3>What is inequality?</h3>

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

On a coordinate plane, a solid straight line has a negative slope and goes through (-2, 2) and (2, -8).

m = (-8 -2)/ (2 +2)

m = -10/ 4

m = -5/2

The line has an equation of y greater-than-or-equal-to negative five-halves x minus 3.

$y \geq -5/2 (x-3)$

The linear inequality $y \leq 5/2(x + 2)$ will not have a shared solution set with the graphed linear inequality.

Thus, the correct option is D.

Learn more about inequality ;

brainly.com/question/14164153

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3 0

2 years ago

Answer the following equation: d(-4) = 32

ikadub [295]

Answer:

d=-8

Step-by-step explanation:

-8 × -4=+32 ....always remember a positive number and negative number equals a negative number and negative number times a negative number is a positive number

8 0

3 years ago

Suppose a random variable, x, arises from a binomial experiment. If n = 6, and p = 0.30, find the following probabilities using

AlladinOne [14]

Answer:

a) P(X=1) = 0.302526

b) P(X=5) = 0.010206

c) P(X=3) = 0.18522

d) P(X≤3) = 0.92953

e) P(X≥5) = 0.010935

f) P(X≤4) = 0.989065

Explanation:

Binomial experiments are modeled by the formula:

$P(X=x)=C(n,x)\cdot p^x\cdot (1-p)^{(n-x)}$

Where

P(X=x) is the probability of exactly x successes

$C(n,x)=\dfrac{n!}{x!\cdot (n-x)!}$

p is the probability of one success, which must be the same for every trial, and every trial must be independent of other trial.

n is the number of trials

1 - p is the probability of fail

there are only two possible outcomes for each trial: success or fail.

a.) P (x=1)

$P(X=1)=\dfrac{6!}{1!\cdot (6-1)!}\times (0.3)^1\times(1-0.3)^{(6-1)}=0.302526$

b.) P (x=5)

$P(X=5)=\dfrac{5!}{5!\cdot (6-5)!}\times (0.3)^5\times (1-0.3)^{(6-5)}=0.010206$

c.) P (x=3)

Using the same formula:

$P(X=3)=0.18522$

d.) P (x less than or equal to 3)

P(X≤3)= P(X=3) + P(X=2) + P(X=1) + P(X=0)

Also,

P(X≤3) = 1 - P(X≥4) = 1 - P(X=4) - P(X=5) - P(X=6)

You can use either of those approaches. The result is the same.

Using the second one:

P(X=4) = 0.059335
P(X=5) = 0.010206
P(X=6) = 0.000729

P(X≤3) = 1 - 0.05935 - 0.010206 - 0.000729 = 0.92953

e.) P(x greather than or equal to 5)

P(X≥5) = P(X=5) + P(X=6)

P(X≥5) = 0.010206 + 0.000729 = 0.010935

f.) P(x less than or equal 4)

P(X≤4) = 1 - P(X≥5) = 1 - P(X=5) - P(X=6)

P(X≤4) = 1 - 0.010206 - 0.000729 = 0.989065

5 0

3 years ago