All categories

3 years ago

How many natural numbers lie between the squares of 49 and 51

Mathematics

1 answer:

inn [45]3 years ago

7 0

Answer:

I think it is 50

Step-by-step explanation:

natural number

the positive integers (whole numbers) 1, 2, 3, etc., and sometimes zero as well

You might be interested in

The Clark family and the Lee family each used their sprinklers last summer. The water output rate for the Clark family's sprinkl

SpyIntel [72]

Each where used for 25 hours

6 0

2 years ago

Read 2 more answers

I need the answers for both a and b so thats why 61 points are up for grab

kodGreya [7K]

Answer:

Step-by-step explanation:

From the picture attached,

a). Triangle in the figure is ΔBCF

b). Since, $L_1$ and $L_2$ are the parallel lines and m is a transversal line,

m∠FBC = m∠BFG [Alternate interior angles]

Since, $L_1$ and $L_2$ are the parallel lines and n is a transversal line,

m∠BCF = m∠CFE [Alternate interior angles]

By triangle sum theorem in ΔBCF

m∠FBC + m∠BCF + m∠BFC = 180°

From the properties given above,

m∠BFG + m∠CFE + m∠BFC = 180°

m∠GFE = 180°

Therefore, angle GFE is the straight angle that will be useful in proving that the sum of the measures of the interior angles of the triangle is 180°.

5 0

2 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

2 In the diagram above, Z1 = 135°, Find the measure of Z2. 22 = [?]°

forsale [732]

Answer:

Step-by-step explanation:

180-135=45

7 0

2 years ago

Read 2 more answers

La base de una pirámide es una región cuadrada que tiene 10k de lado; si la altura de la pirámide es de 12k, Calcule el volumen

mart [117]

Side of base of square, a = 10 km.

Height of pyramid , h = 12 km.

Volume of pyramid is given by :

$V=\dfrac{a^2h}{3}\\\\V=\dfrac{10^2\times 12}{3}\ km^3\\\\V=400\ km^3$

Surface area is given by :

$S.A=2ah + a^2\\\\S.A=(2 \times 10\times 12) + 10^2\ km^2\\\\S.A=340\ km^2$

Therefore, volume and surface area are 400 km³ and 340 km² respectively.

Hence, this is the required solution.

5 0

2 years ago