7.4 Practice
A medicine is effective on 70% of patients.
The table shows 30 randomly generated
numbers from to 999. Use the table to
estimate the probability of the event.
1. The modicine is effective on at least two
of the next three patients.
028837 618 205 984
724 301249 946 925
042 | 113 | 696 985 632
312085 | 997 198 | 398
117 240 853:373 597
606 077 016 012
695
2. The medicine is effective on none
of the next three patients.
Design and use a simulation to find the experimental probability.
3. A bowler hats the headpin 90% of the time that all ten pins are standing.
What is the experimental probability that the bowler hits the headpin
exactly four of the next five times that all ten pins are standing?

Answer:

The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.

Step-by-step explanation:

The ladder is not safe at this height. The height from ground to top of the ladder is < 11.6 ft for safety reasons and this can be determined by using trigonometry functions.

Given :

Joshua has a ladder that is 12 ft long.

He wants to lean the ladder against a vertical wall so that the top of the ladder is 11.8 ft above the ground.

For safety reasons, he wants the angle the ladder makes with the ground to be no greater than 75°.

Check the angle that the ladder makes with the ground:

The ladder is safe when the angle the ladder makes with the ground to be no greater than 75° but  is  so, the ladder won't be safe.

To make the ladder safe, the height should not be 11.8ft.

The height from ground to top of the ladder is < 11.6 ft for safety reasons.

Answer:

Step-by-step explanation:

1. Change all the units to be the same. 1yd= 3 feet so 2yd x 3ft =6ft

new Dimensions 4x8 and 3x8

2.  View images

Answer:

Step-by-step explanation:

[tex]\bf \text{width = $\dfrac{Area}{length}$}[/tex]

[tex]\bf w =\dfrac{55}{m}[/tex]

Answer:

7 units

Step-by-step explanation:

Since the two points have the same y-coordinate of -5, the distance between them is due to the difference of their x-coordinates.

Distance

= 4-(-3)

= 4 +3

= 7 units

Note:

Should the two points have different x and y coordinates, you may use the distance formula below.

[tex]\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Answer:

Ans is mean .because mean means average.

The opposite sides PQ and RS of the parallelogram PQRS are congruent

The value of the length QS is 6 cm

The given parameters are:

PQ = 4x - 1

RS = 3x + 7

Opposite sides are congruent.

So, we have:

4x - 1 = 3x + 7

Collect like terms

4x - 3x = 1 + 7

Evaluate the expressions

x = 8

The perimeter is calculated using:

Perimeter = 2(QS + RS)

This gives

2(QS + RS) = 74

Divide by 2

QS + RS = 37

Substiute RS = 3x + 7

QS + 3x + 7 = 37

Substitute 8 for x

QS + 3*8 + 7 = 37

This gives

QS + 31 = 37

Subtract 31 from both sides

QS = 6

Hence, the value of the length QS is 6 cm

Read more about parallelograms at:

https://brainly.com/question/2844650

Answer:

6cm or b

Step-by-step explanation:

Answer:

-4.9

Step-by-step explanation:

Since the number 26.95 has two decimal places, it can be turned into a whole number with a denominator having two zeroes; 100

        2695

         100

Then change -5 1/2 into an improper fraction; = -5 × 2 + 1

                                                                                    2

                                           = -11/2

2695 ÷ ( -11 )

 100         2

  Reciprocate (put denominator as numerator and vice-versa ) the equation after the ÷ sign. After doing so, the ÷ sign changes to × sign.

Hence:   2695 × ( 2 )

                 100      -11

Then, cross multiply.

          100 ÷ 2              50

     -245 ÷ 50

         = -4.9

Answer: its -4.9

Step-by-step explanation:

Answer:

A, move up 2 and right 1

Step-by-step explanation:

If you follow this rule, you can see that all those consistent dotted points will simplify to the same ratios.

Answer:

A, C, D

Step-by-step explanation:

First, we have to create a line based on the data.

Now, we know that the equation of the line is as follows

y = 2x

meaning that whenever we go a certain amount of units to the right or left, we move double that amount up or down

Now, A is equivalent to the Slope, so nthat is automatically equivalent.

C and D are both placed on the line, so they are correct

Another way to think about this is using fractions

x = 1/2 y

For A,

1 = 1/2(2)

For C,

2 = 1/2(4)

For D,

-1 = 1/2(-2)

Answer:

$69.60

Step-by-step explanation:

Answer:

17°

Step-by-step explanation:

First, see what's the angle of "AOC"

Here, it's 90° (since it shows the Box at the bottom of the angle instead of a semicircle.

Now, lets subtract 90 by 73

that will be 17

so hence, the value of X is 17°

--------------------------------------௹﷼---------------------------------------------------------------

If you see someone without a simle, give them one of yours!

Thanks!

Have a great day!

:D

BC = 11

hope it helps...!!!

Answer:

x = 11

BC = 48

Step-by-step explanation:

11 + 37 = 48 and 4(11) + 4 = 48 and since they are both being multiplied by 11 in place of the x, that makes it congruent. BC is 48 because 11 + 37 = 48. hope it makes sense

keeping in mind that the vertex is half-way between the focus point and the directrix, and since the focus point is above the directrix, meaning the parabola is a vertical parabola opening upwards, the parabola will more or less look like the one in the picture below, with a distance from the vertex of "p" being positive since it's opening upwards.

[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]

[tex]\begin{cases} h=0\\ k=0\\ p=\frac{1}{2} \end{cases}\implies 4(\frac{1}{2})(y-0)~~ = ~~(x-0)^2\implies 2y=x^2\implies y=\cfrac{1}{2}x^2[/tex]

Answer:

option B is the correct answer

Step-by-step explanation:

mark me brainliest

Answer:

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

G-14

O-14

O-14

so 14•3=42

Since it is an equilateral triangle, all the sides are equal

(To make things more simple, you can compare 2 sides out of 3 --> as in you can choose the 2 most simple ones to solve)

4x-10 = 3x+2          Simplify like terms

x = 12

If you want to prove, just plug 12 back into each side

Hope this helped :)

Answer:

the answer is 900 degrees

Step-by-step explanation:

brainliest?

Answer:

900°

Step-by-step explanation:

sum of interior angles of n sides polygon=(n-2)×180

n=7

Hence sum of interior angles of 7 sided polygon=(7-2)×180

=5×180

=900°

Answer:

C

Step-by-step explanation:

the answer is C

( -6 , 1 )

y = -1/2x - 2

if x = -6

y = -1/2(-6) - 2

y = 3 - 2

y = 1

Answer:

I don't know the exact answer but, I had a problem like this the other day. This is how to find it out. I am just in a rush so I have to go if not I would help you figure it out.

Step-by-step explanation:

Write the equation of each circle.

1. center at (9, 0), radius 5

SOLUTION:  

ANSWER:  

2. center at (3, 1), diameter 14

SOLUTION:  

Since the radius is half the diameter, r = (14) or 7.

ANSWER:  

3. center at origin, passes through (2,2)

Answer:

140% - 7/5 - 1.4

4% - 1/25 - 0.04

56% - 2.8/5 - 0.56

95% - 19/20 - 0.95

Answer:

6 3 5 6 8 8

Step-by-step explanation:

farthest apart than any other number

Answer:

Your correct answer is 90 :)

Step-by-step explanation:

90 is the biggest number in the number set so therefore it is an outlier. 

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

y=11/13x−3

hope this helps and mark me brainliest as well please.

Answer:

140 inches cubed

Step-by-step explanation:

Use the formula V = length * width * height to find the volumes of each block, then add them together to get the combined volume. So, (5 * 4 * 5) + (4 * 5 * 2) = 140 inches cubed, which is the combined volume.

Hopefully this helps- let me know if you have any questions!

Answer:

total mass is equal to

450g+840g+366g+1kg

=1626g+1000g

=2626g

mass is in kg so it is 2.626kg