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3 years ago

Plz, help with this! Find the area of the parallelogram.

Mathematics

1 answer:

Reptile [31]3 years ago

5 0

Answer:

192 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated using the formula

A = bh ( b is the base and h the perpendicular height )

here b = 24 and h = 8, hence

A = 24 × 8 = 192 cm²

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Suppose that you randomly draw one card from a standard deck of 52 cards. After writing down which card was drawn, you replace t

34kurt

Answer:

The probability is 0.0775

The expected value is 4.75 clubs

The standard deviation is 1.8875 clubs

Step-by-step explanation:

The variable X follows a binomial distribution, because we have n identical and independent events (19 cards) with a probability p of success and 1-p of fail (there is a probability of 1/4 to be club and 3/4 to be diamond, heart or spade). Then, the probability that x of the n cards are club is:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}\\P(x)=\frac{19!}{x!(19-x)!}*0.25^{x}*(0.75)^{19-x}$

So, the probability P of drawing at least 8 clubs is:

P = P(8) + P(9) + P(10) + ... + P(18) + P(19)

Replacing, the values of x, from 8 to 19, on the equation above, we get:

P = 0.0775

Additionally, the expected value E(x) and standard deviationS(x) for this distribution is given by:

E(x)=np = 19(0.25) = 4.75

$S(x)=\sqrt{np(1-p)} =\sqrt{19(0.25)(0.75)} =1.8875$

8 0

3 years ago

Find the length of line segmentAB which joins the following points.A(10, 14) and B(2,6)

Helen [10]

Answer:

The equation of the line AB is y - x -4 = 0

Step-by-step explanation:

The points are A (10,14) and B(2,6)

Now, slope of the line AB : $m = \frac{y_2 - y_1}{x_2 - x_1}$

or, $m = \frac{14 -6 }{10 - 2}$ = $\frac{8}{8} = 1$

So, slope of the equation AB = 1

Now, by SLOPE INTERCEPT FORM:

The equation of line is given as : y - y0 = m (x-x0)

So,the equation of line AB is y - 6 = 1(x-2)

or, y - 6 -x + 2 = 0

or, y - x -4 = 0

Hence, the equation of the line AB is y - x -4 = 0

5 0

2 years ago

A fish was swimming LaTeX: 2\frac{1}{2}2 1 2 feet below the water's surface at 1:00 p.M. Three hours later, the fish was at a de

marin [14]

Answer:

$\frac{23}{4}$ feet

Step-by-step explanation:

The depth of the fish to the surface of water at 1:00 pm = 2 $\frac{1}{2}$ feet

= $\frac{5}{2}$ feet

The depth of the fish to its initial position at 4:00 pm = 3 $\frac{1}{4}$ feet

= $\frac{13}{4}$ feet

The position of the fish with respect to the water's surface at 4:00 pm = the depth of the fish to the surface of water at 1:00 pm + the depth of the fish to its initial position at 4:00 pm

= $\frac{5}{2}$ + $\frac{13}{4}$

= $\frac{10 + 13}{4}$

= $\frac{23}{4}$

The position of the fish with respect to the water's surface at 4:00 pm is $\frac{23}{4}$ feet.

8 0

2 years ago

Hillary needs a few new items for the start of softball season. She found some great sales! Help her find out the price she will

kolezko [41]

Answer:Hillary will pay $35.00 for softball glove, $20.00 for soft ball bat and $40.00 for cleats

Step-by-step explanation:

Step 1

A percentage off of a price of an item is the amount that can be saved from purchasing that item, it can also be referred as a discount given on an item purchase.

Step 2 --- Calculation

Actual Price of Softball glove= $50

Discount= 50 x 30/100 = $15.00

Price to pay= $50 - $15.00 = $35.00

Actual Price of soft ball bat= $50

Discount= 50 x 60/100 = $30.00

Price to pay= $50 - $30.00 = $20.00

Actual Price of cleats= $50

Discount= 50 x 20/100 = $10.00

Price to pay= $50 - $10.00 = $40.00

Therefore, Hillary will pay $35.00 for softball glove, $20.00 for soft ball bat and $40.00 for cleats

4 0

2 years ago

Trig help ...............

Flauer [41]

Letter D

A = 135°
B = 30°

cosAcosB - sinAsinB = cos(A+B)

cos(135°+30°)
cos(165°)

4 0

3 years ago

Read 2 more answers