Solve (z + 6)2 = 5
{−6±5‾√}

{6±5‾√}

{5‾√±−6}

{−6+5‾√,6−5‾√}

Answer:

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

Step-by-step explanation:

For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A certain performer has an independent .04 probability of a crash in each race.

This means that [tex]p = 0.04[/tex]

a) What is the probability she will have her first crash within the first 30 races she runs this season

This is:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

When [tex]n = 30[/tex]

We have that:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939[/tex]

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061[/tex]

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

Answer:

D

Step-by-step explanation:

It's D because the number of books checked out each hour would have to depend on the amount of people in the library each hour.

Answer:

576.4 in²

Step-by-step explanation:

Surface area of square pyramid = Base Area + ½(perimeter of base)(slant height)

Base area = s² = 11² = 121 in.²

Perimeter of base = 4(11) = 44 in.

Slant height = 20.7 in.

Plug in the values

Surface area = 121 + ½(44)(20.7)

= 576.4 in²

Answer:

D

Step-by-step explanation:

Hello There!

In order for a relationship to be proportional it must follow these requirements:

Knowing this let us now look at each relationship

The first one indeed has a constant rate of change

However it has a y intercept of (1,0) so it doesn't go through the origin therefore it is not a proportional relationship

For B:

B is not a proportional relationship because it does not have a constant rate nor can we tell if it goes through he origin

The y value first adds by 7 then by 9 then by 6. (while the x value goes up 1)

in a constant rate of change relationship the slope is constant and goes up by a certain amount each time therefore relation b is not proportional

For C:

Like relation A it has a constant rate of change but its not put in y = kx form and has a y intercept. Because of this it is not considered a proportional relationship

For D:

Relation D happens to have a constant rate of change (as it has a vertical straight line). It also happens to pass through the origin (0,0)

The relation fulfills each requirement therefore D is your answer

[tex]2.3x - 5.6x = 1.3 + 1.2 \\ - 3.3x = 2.5 \\ - x = 0.75 \\ x = - 0.75[/tex]

i hope it helps u

Answer:

so is the value of six times 1

Step-by-step explanation:

A: I think it’s 9(−5+9n+10n2)

Step-by-step explanation:

Answer:

288in

Step-by-step explanation:

48 times 2 is 96

96 plus 96 plus 48 plus 48 for all sides of the rectangle = the perimeter or border

Answer:

Step-by-step explanation:

To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated beneath. By utilizing a similar system, point O addresses 0/3 and point An addresses 3/3.

Another way of saying it is:

In portrayals of divisions on a number line we can show parts on a number line. To address 1/2 on the number line, draw the number line and imprint a direct A toward address 1.  

Presently, split the hole among O and An into halves. Leave T alone the mark of division. At that point, point T addresses 1/2.  

Portrayals of Fractions on a Number Line  

To address 1/3 on a number line, we split the hole among O and An into 3 equivalent parts. Leave T and Q alone the marks of division. At that point, T addresses 1/3 and Q addresses 2/3, since 2/3 methods 2 sections out of 3 equivalent parts as demonstrated underneath.  

Portions on a Number Line  

By utilizing a similar technique, point O addresses 0/3 and point An addresses 3/3

brainliest?

9514 1404 393

Answer:

  E  none of the above

Step-by-step explanation:

"Triples in size" means the growth factor is 3, so we expect to see that as the base of the exponent. That growth factor applies to a period of 6 minutes, or 1/10 hours. The number of 6-minute intervals in t hours is 10t, so we expect to see that as the exponent. The appropriate model could be written ...

  n(t) = 3·3^(10t) . . . . . matches no offered answer choice

Answer:

C, D, E

Step-by-step explanation:

I did the USATESTPREP

9514 1404 393

Answer:

  d.  1.1×10^6

Step-by-step explanation:

As with other kinds of sums, factoring out a common factor can make it easier.

  (7.3×10^5) + (3.7×10^5) = (7.3 +3.7)×10^5 = 11.0×10^5

Please note this is the sum, and it matches answer choice B, but it is not "scientific notation." To put this back in scientific notation, we must move the decimal point 1 place to the left. That rewrite looks like ...

  11.0×10^5 = (1.1×10^1)×10^5 = 1.1×(10^1×10^5) = 1.1×10^(1+5) = 1.1×10^6

Answer:

Step-by-step explanation:

7/18-2/9=7/18-4/18=3/18=1/6

Answer:

1/6.

Step-by-step explanation:

7/18−2/9=?

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(7/18, 2/9) = 18

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(7/18×11)−(2/9×22)=?

Complete the multiplication and the equation becomes

7/18−4/18=?

The two fractions now have like denominators so you can subtract the numerators.

Then:

7−4/18=3/18

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 3 and 18 using

GCF(3,18) = 3

3÷3/18÷3=1/6

Therefore:

7/18−2/9=1/6

Answer: I'm assuming you want to know how much surface area his fence is, so 40

Step-by-step explanation: First we can divide 15 by 3 to get 5, and then multiply 5 by 8. This gives us 40, which is our answer.

Hope this helps :)

Answer:

ok whats the question tho is it the total length of the fence if it is its 40 pretty sure

Step-by-step explanation:

3/8 of the fence lets say x, equals 15 feet

divide 15 by 3/8 to find x which is 40

Answer:4

Step-by-step explanation:2+2=4

Answer:

121

Step-by-step explanation:121 ! just got it right.

Answer:

D)

Step-by-step explanation:

on edge

Answer:

H. 39.6

Step-by-step explanation:

i promise this is the right answer!

there is a mean, mode, range etc. calculator that can help you!

Answer:

Step-by-step explanation:

4y - 2(5 - y + 4) = 4y - 2(9 - y)

                         = 4y + 9*(-2) - y *(-2)

                         = 4y  - 18 + 2y      {Combine like terms 4y and 2y}

                         = 6y - 18

6y - 18 = 6*y - 6*3

           = 6(y - 3)

6y- 18 =  2 *3y - 2*9

          = 2(3y -9)

2(3y - 9) and 6(y- 3 ) are equivalent to 4y - 2(5- y +4)

Others are not equivalent

Answer:

45

Step-by-step explanation:

6 to the power of 2 + 3 to the power of 2

6² + 3²

(6 × 6) + (3 × 3)

36 + 9

45

Answer:

I think it might be this one(-2,0)

Answer:

81 cubic foot

Step-by-step explanation:

It is given that the box is packed with cubes whose side is 1 foot. So the volume of one cube is 1 cubic foot.

Now from the figure, we can see that :

Number of cubes fitting the box across its length = 9 cubes

Number of cubes fitting the box across its width = 3 cubes

Number of cubes fitting the box across its height = 3 cubes

And each of these cubes measures 1 x 1 x 1 cubic foot

So the volume of the box can be found out by:

Volume = length x width x height

             = 9 x 3 x 3

             = 81 cubic foot

Therefore volume of the box is 81 cubic foot.

Answer:

Area =L×w

84×18y =L×w

by comparison

L =84 and w=18y

Answer: A confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)

Step-by-step explanation:

Confidence interval for mean: Mean ± Margin of error

Given: The  online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5  dollars.

A confidence interval for the mean cost (in dollars) for one shipment of vases

[tex]=(54-5, 54+5)\\\\=(49,59)[/tex]

Hence,  a confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)

Similar means angles are the same  

Congruent means angles and sides are the same.

Sail 1 and sail 2 have the same angles but the sides are not the same.

So sail 1 and sail 2 are similar.

Answer:

Step-by-step explanation:

Distance (d) = 190 miles

Time (t) = 4 hr 45 min = 19 / 4 hours

Speed = distance / time

= 190 / (19/4)

= 40 miles/hour

The average speed is the total distance traveled by the object in a particular time interval.

The average speed of the car in miles per hour is 40 miles per hour.

The average speed is the total distance traveled by the object in a particular time interval.

We have,

Distance traveled in 4 hours and 45 minutes = 190 miles
Time = 4 hours and 45 minutes

This can be written in hours as:

= 4.75 hours

Average speed:

= Total distance / Total time

= 190 miles / 4.75 hours

Divide both the numerator and denominator by 4.75

= (190/4.75) / (4.75/4.75)

= 40 miles / 1 hour

Thus the average speed of the car in miles per hour is 40 miles per hour.

Learn more about average speed here:

https://brainly.com/question/12322912

#SPJ5

Answer:

The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A random sample of 150 households was selected and 48 relied strictly on cell phones for their service.

This means that [tex]n = 150, \pi = \frac{48}{150} = 0.32[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.2453[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.3947[/tex]

The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).