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Sauron [17]
3 years ago
11

Classify the quadrilateral.​

Mathematics
1 answer:
adell [148]3 years ago
5 0
Trapezoid

it has four sides and 1 set of parallel lines
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A biologist estimates that 40% of deer in the region carry a certain type of tick. for a sample of 300 deer selectetd at random,
Vesna [10]
Let x be a discrete binomial random variable that measures the number of successes in n trials.
 Let p = 0.4 be the probability of success, that is, the probability that a deer has the aforementioned type of tick.
 So the probability that 124 deer or less have this type of tick is calculated using the probability formula for a binomial distribution.
 P (X <= x) = sum from x = 0 to x = 124 of (300! / ((X! * (300-x)!)) * (P ^ x) * (1-p) ^ n-x.
 Finally the probability is 0.7030
 Below is an image with the formula used and the result

6 0
3 years ago
An h = 135-ft tower is located on the side of a mountain that is inclined 32° to the horizontal. A guy wire is to be attached to
Vikentia [17]

Answer:

171 foot

Step-by-step explanation:

We are given that

Height of tower=135 ft

AC=55 ft

Let x be the length of shortest length of wire.

The angle of inclination of mountain with horizontal =32^{\circ}

The angle between sides AB and BC=90+32=122^{\circ}

Exterior angle is equal to sum interior angles of a triangle on the opposite sides .

We have to find the value of x.

We know that law of cosine

c=\sqrt{a^2+b^2-2ab cos\theta}

Substitute the values in the given formula we get

x=\sqrt{(135)^2+(55)^2-2(135)(55)cos 122}

x=170.64 ft

Hence, the length of wire needed=171 foot

7 0
3 years ago
A cell phone company charges a basic rate of $19.99 per month for 300 minutes of local usage. Any local usage over 300 minutes i
Lera25 [3.4K]

total = 19.99 + 0.10(x-300) + 0.25y

x = 375

y=54

total = 19.99 +0.10(375-300) +0.25(54)

total = 19.99 + 0.10(75) + 0.25(54)

total = 19.99 + 7.50 + 13.50

total = $40.99

8 0
3 years ago
Which or the following is the radical expression of 4d3/8
stira [4]

Answer:

\boxed{4 \sqrt[8]{ {d}^{3} } }

Step-by-step explanation:

=  > 4 {d}^{ \frac{3}{8} }   \\  \\ =   > 4({d}^{3 \times  \frac{1}{8} }) \\  \\  =  > 4( {d}^{3}  \times   {d}^{ \frac{1}{8} } ) \\  \\  =  > 4( {d}^{3}  \times  \sqrt[8]{d} ) \\  \\  =  > 4  \sqrt[8]{ {d}^{3} }

3 0
4 years ago
Difference between expression vector and cloning vector
olga_2 [115]


Cloning vectors are the DNA molecules that can carry a foreign DNA segment into the the host cell.The vectors used in recombinant DNA technology can be plasmids, cosmids, bacteriophages etc. 

Plasmids: Self replicating, circular,  extra chromosomal DNA present in bacteria. Plasmids have only one or two copies per cell.

Bacteriophages: Virus infecting bacteria. Bacteriophages have high number per cell, so their copy number  is also high in genome.

Cosmids: Hybrid vectors derived from plasmids which contain cos site of lambda phage.

Feature required to facilitate cloning into vector: Origin of replication, Selectable marker, unique restriction sites.
The purpose of cloning vector is often to make numerous copies of the inserted gene.


Expression Vectors: The cloning vector containing suitable expression signals to have maximum gene expression, is called expression vector. 
The following expression signals are introduced into gene cloned vectors to get maximum expression:

Insertion of a strong promoter.

Insertion of a strong termination codon.

Adjustment of distance between promoter and cloned gene.

Insertion of transcription termination sequence.

Insertion of a strong translation initiation sequence.

8 0
3 years ago
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