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3 years ago

Please I need your help desperately what is the area of this triangle? See attached image thank you so much

Mathematics

1 answer:

Rama09 [41]3 years ago

7 0

To find the area of the given traingle we have to draw perpendicular from point 'J' which meets the x axis at point (2,0) and let us named it 'P'.

As we know that area of triangle is

[tex] = \frac{1}{2}\times b \times h [\tex]

Here base 'b' will be LK and height 'h' will be JP

Here,

LK= 4 units JP=4 units

Area ={1}{2} *(4)*(4)

On solving the equation we get,

Area=8 Sq units

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Direct mail advertisers send solicitations ("junk mail") to thousands of potential customers in the hope that some will buy the

harina [27]

Answer:

The interval is (.0817, .118).

Step-by-step explanation:

Let's make this interval! The easy way is to go to STAT->TEST->A, 1-prop z-int, but I will show the long way.

1. Conditions

First we must check the conditions.

Randomization condition: The sample is given to be random, so we can assume independence.

Success/failure condition: Both np>10 and nq>10 must be met.

np = 1030(103/1030) = 103 ✓
nq = 1030(927/1030) = 927 ✓

10% condition: The sample cannot be greater than 10% of the population.

10n < N, 10(1030) < 200000 ✓

All conditions are met, so we can use a 1-proportion z-interval to represent the data.

2. Mechanics

Find $\hat{p}$ , the sample proportion.

103/1030 = .1

$\hat{q}$ , then, the probability of not p, is 1 - .1 = .9

Find z* (z star), the critical z-value.

You can do this on your calculator using 2nd->VARS->3 (or you can memorize it - it's 1.96. Winky face.) This is called the invNorm function, that takes the left side area under the normal curve. But what do we plug in to the invNorm function?

invNorm(.975) = 1.96

Plug values into the equation.

$\hat{p}$ ± z* $\sqrt{\frac{\hat{p}\hat{q}}{n} }$

.1 ± 1.96 $\sqrt{\frac{.1*.9}{1030} }$

.1 ± 1.96(.00935)

.1 - .0183 = .0817

.1 + .0183 = .118

(.0817, .118)

3. Conclusion

Based on this sample, we are 95% confident that the proportion of people the company contacts who may buy something is between .0817 and .118. That isn't very likely, but maybe they'll make a little profit!

5 0

3 years ago

A map of a highway has a scale of 2 inches =39 miles. The length of the highway on the map is 6 inches. There are 11 rest stops

wolverine [178]

Find the distance of the rest stop in the original map

Divide by 6 because there are 7 rest stop
Find the real distance of the rest stop using proportion

step 2
Find the distance of the rest stop in the new map
using proportion

8 0

3 years ago

If f(x)=2(x)^2+5\sqrt((x+2)), complete the following statement f(0)=

DENIUS [597]

Answer: 5

Step-by-step explanation:

$f(x)=2(x)^2+5\\\\f(0)=2(0)^2+5\\\\.\qquad =0+5\\\\.\qquad =5$

3 0

3 years ago

There are 205 coins in a jar all of which are either nickles or quarters . The vaule of the coin in the jar is $31.85. if both o

Gnesinka [82]

Answer: There are 97 nickels and 108 quarters.

Step-by-step explanation:

Let x = Number of nickels, y = Number of quarters.

As per given,

x+y = 205 ...(i)

0.05x+0.25y = 31.85 ... (ii) [1 nickel = $0.05, 1 quarter = $ 0.25]

Multiply (ii) by 20, we get

x+5y=637 ...(iii)

Eliminate (i) from (iii)

4y = 432

⇒ y = 108 [Divide both sides by 4]

Put value of y in (i), we get

$108+x=205\Rightarrow\ x= 97$

Hence, there are 97 nickels and 108 quarters.

6 0

3 years ago

Which of the following linear inequalities matches the given graph below?

frozen [14]

Answer:

O y > 4

Step-by-step explanation:

The dotted line indicates the line is not part of the inequality, and it is clearly greater than 4.

8 0

2 years ago