Chris bought a pizza that was cut into 8 slices. He saw olives on 2 of the slices. If he chooses a slice at random, what is the probability that he gets a slice without olives?

Answer:

33.33%

Step-by-step explanation:

We need to calculate the unit selling price and cost of each cosmetics.

If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then for 1 cosmetics, we will say;

x = 1 cosmetic

since 360 = 12 cosmetic

cross multiply

12x = 360

x = 360/12

x = 30

Hence the unit cost price of the cosmetics will be Rs. 30

Similarly, if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40 (a pair is 2 cosmetics)

Selling price per unit = Rs. 40

Cost price per unit = Rs. 30

percent gain = SP-CP/CP * 100%

percent gain = 40-30/30 * 100

percent gain = 10/30 * 100

percent gain = 100/3

percent gain = 33.33%

Hence the percentage gain is 33.33%

Answer:

Step-by-step explanation:

Given the polynomial f(x)  divided by  x-4

To check whether the remainder will be equal to f(-4), we need to get whether the value of x is -4 if we set x-4 to zero as shown;

x- 4 = 0

Add 4 to both sides

x - 4 + 4 =  0+4

x = 4

Since the value of x is 4 not -4 hence the remainder will NOT be equal to f(-4). The answer is false

Answer:

[tex]F = 27N[/tex]

Step-by-step explanation:

Given

Force directly proportional to acceleration

Force = 21N when Acceleraion = 7m/s^2

Required

Determine the force when acceleration = 9m/s^2

The variation between force (F) and acceleration (A) implies that:

[tex]F\ \alpha\ \ A[/tex]

Convert to an equation

[tex]F = mA[/tex]

Where m is constant.

When F = 21 and A = 7, we have:

[tex]21 = m * 7[/tex]

Solve for m

[tex]m = \frac{21}{7}[/tex]

[tex]m = 3[/tex]

When A = 9

Substitute 9 for A and 3 for m in [tex]F = mA[/tex]

[tex]F = 3 * 9[/tex]

[tex]F = 27N[/tex]

Answer:

Following are the solution to this question:

Step-by-step explanation:

please find the graph image in the attached file.

Given value:

[tex]AB= c= 1744 \ miles\\\\BC= a= 2451 \ miles\\\\AB= s= 714 \ miles[/tex]

using the law of cosines:  

[tex]\cos A = \frac{s^2+c^2-a^2}{2bc}\\\\[/tex]

        [tex]=\frac{714^2+1744^2-2451^2}{2 \times 714 \times 1744}\\\\= -0.9862[/tex]

[tex]A=cos^{-1} (-0.9862)\\\\A= 170.47^{\circ}[/tex]

[tex]\cos B = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\B=cos^{-1} (0.9988)\\\\B= 2.7641^{\circ}\\\\[/tex]

[tex]\cos C = \frac{a^2+c^2-b^2}{2ac}\\\\=\frac{2451^2+1744^2-714^2}{2 \times 2451 \times 1744}\\\\= 0.9988\\\\C=cos^{-1} (0.9988)\\\\C= 2.7641^{\circ}[/tex]

Answer:

4 gallons=16 quarts

Step-by-step explanation:

Brainliest me pls

Have a nice day!

Answer:

16 Quarts

Step-by-step explanation:

First I figured out how many quarts are in a gallon which is 4.

Then I multiplied 4 by 4 which gives you 16.

Hope This helps! ^w^

Answer:

The missing length is 12

Step-by-step explanation:

Required

Determine the missing length (LS)

If RS = 28 and KS = 14

Then

[tex]KR = RS - KS[/tex]

[tex]KR = 28 - 14[/tex]

[tex]KR = 14[/tex]

The sides of the given shape are directly proportional.

This implies that:

[tex]KS : LS = RS : QS[/tex]

[tex]KS = 14[/tex]

[tex]RS = 28[/tex]

[tex]QS = 12 + LS[/tex]

[tex]LS = ??[/tex]

So, the expression becomes:

[tex]14 : LS = 28 : 12 + LS[/tex]

Represent as a fraction

[tex]\frac{14}{LS} = \frac{28}{12 + LS}[/tex]

Cross Multiply:

[tex]14(12 + LS) = 28 * LS[/tex]

Divide through by 12

[tex]12 + LS = 2 * LS[/tex]

[tex]12 + LS = 2 LS[/tex]

Collect Like Terms

[tex]2LS - LS = 12[/tex]

[tex]LS = 12[/tex]

The length of the missing side is 12

Answer:

A

Step-by-step explanation:

I checked on khan

Answer:

C

is your answer. Glad I could help!

Step-by-step explanation:

3 + 2 = 5 + 14 = 19

A. 18

B. 15

C. 19

D. 11

Answer:

Jada travels faster at a speed of 45mph

Step-by-step explanation:

Jada travels faster at a speed of 45mph

When you divide the overall miles from the time it takes you get the miles per hour.

Jada: 135/3= 45

Andre: 228/6= 38

Jada travels at 45mph as Andre travels at 38mph.

Hope this helps!

Answer:

45

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

14 x 4 + 137 x 8 = $1,152

hope this helps

have a great day

and a Merry Christmas UwU

Answer:

18

Step-by-step explanation:

Divide 90 by 5

Answer:

the answer i believe is 37.30

Answer:

90m + 5

Step-by-step explanation:

Distribute 13 to (9-6m) and distribute 14 to (12m -8)

13*9 - 13*6m + 14*12m - 14*8 =

117 - 78m + 168m - 112 =

put like terms together

117-112 -78m + 168m =

5 + 90m

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Answer:

[tex]f(10) = 173[/tex]

Step-by-step explanation:

Given

Exponential Function

[tex](x_1,y_1) = (3,10.125)[/tex]

[tex](x_2,y_2) = (6,34.2)[/tex]

Required

Determine f(10)

We have that

[tex]y = ab^x[/tex]

First, we need to solve for the values of a and b

For [tex](x_1,y_1) = (3,10.125)[/tex]

[tex]10.125 = ab^3[/tex] --- (1)

For [tex](x_2,y_2) = (6,34.2)[/tex]

[tex]34.2 = ab^6[/tex] ---- (2)

Divide (2) by (1)

[tex]\frac{34.2}{10.125} = \frac{ab^6}{ab^3}[/tex]

[tex]\frac{34.2}{10.125} = \frac{b^6}{b^3}[/tex]

[tex]3.38= b^{6-3}[/tex]

[tex]3.38= b^{3}[/tex]

Take cube root of both sides

[tex]b = \sqrt[3]{3.38}[/tex]

[tex]b = 1.5[/tex]

Substitute 1.5 for b in [tex]10.125 = ab^3[/tex]

[tex]10.125 = a * 1.5^3[/tex]

[tex]10.125 = a * 3.375[/tex]

Solve for a

[tex]a = \frac{10.125}{3.375}[/tex]

[tex]a = 3[/tex]

To solve for f(10).

This implies that x = 10

So, we have:

[tex]y = ab^x[/tex] which becomes

[tex]y = 3 * 1.5^{10[/tex]

[tex]y = 3 * 57.6650390625[/tex]

[tex]y = 172.995117188[/tex]

[tex]y = 173[/tex] -- approximated

Hence:

[tex]f(10) = 173[/tex]

Answer:

[tex]\boxed{x_1 = 5~~or~~x_2 = -5}[/tex]

.

Step-by-step explanation:

[tex]\to y = 0[/tex]

[tex]y = x^2 - 25[/tex]

[tex]x^2 - 25 = 0[/tex]

[tex]x^2 = 25[/tex]

[tex]x = \pm \sqrt{25}[/tex]

[tex]x = \pm 5[/tex]

.

[tex]x = 5[/tex]

[tex]x = -5[/tex]

The point where the reflector meets the lens is ± 5.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, A reflector on the inside of a certain flashlight is a parabola given by the equation y = x² - 25.

Now the points where the reflector meets the lens are,

0 = x² - 25.

x² = 25.

x = ± 5.

learn more about quadratic equations here :

https://brainly.com/question/17177510

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Answer:

0.8

Step-by-step explanation:

A = hamburger

B = french fries

P(B|A)

P(AB)/P(A)

= 0.72/0.9

= 0.8

Answer:

i think B

Step-by-step explanation:

Answer:

The discounted TV would cost $200 because the 20% discount takes off $50

Answer:

$1300

Step-by-step explanation:

λ = average = 2 per day, Y denotes the number of breakdowns per day,

But E(Y) = λ, E[Y(Y - 1)] = λ²

E(Y²) = E[Y(Y - 1)] + E(Y), hence:

E(Y²) = λ² + λ

The daily revenue is R=1600−50Y². The expected daily revenue for the extruder E(R) is:

E(R) = E(1600−50Y²) = 1600 - 50E(Y²)

E(R) = 1600 - 50(λ² + λ)

Substituting:

E(R) = 1600 - 50(2² + 2)

E(R) = 1600 - 300 = 1300

E(R) = $1300

Answer: 530.3

Step-by-step explanation:

Difference means to subtract

620-89.7=530.3

Answer:

530.3

Step-by-step explanation:

You want to subtract 620-89.7. If you want to use the standard algorithm you have 620.0-89.7. You "borrow" from the 2 in the tens place, then "borrow" from the ones place. To subtract 10-3 tenths. Then you subtract the ones place which is 9-9=0 ones. Now you subtract 62-8=53 tens. So you have 530.3 as the difference.

A box and whiskers chart divides the data set into 4 equal parts called quartiles. (second option)

A box and whiskers chart is used to study the distribution and level of a set of scores. The values are distributed into 4 groups. Each group has a value of 25%

The whiskers represent the minimum and the maximum values. On the box, the first line to the left represents the lower quartile. 25% of the score represents the lower quartile. The next line on the box represents the median. 50% of the score represents the median. The third line on the box represents the upper quartile. 75% of the scores represents the upper quartile.

To learn more about box plots,. please check: https://brainly.com/question/27215146

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Answer:

N(t) = N0/2^t

Step-by-step explanation:

Given that:

Number of cells present after t hours = N

Let initial number of cells = N0

Using the exponential decay relation:

N(t) = N0(1/2)^t

N(t) = N0/2^t

Hence, the number of cells N present after t hours is N(t) = N0/2^t.

Answer: 0.16666666666

Answer:

with what?

Step-by-step explanation:

Answer:(3t)^2

Step-by-step explanation:

Steps below

Answer:

A. 1/5

Step-by-step explanation:

First off, ignore the "each one is five tickets" part, that's just there to confuse you. There are ten tickets total sold, of which two are sold to girls. You can express this as 2/10, which simplifies to 1/5.

Answer:

The value is  [tex]P( X > 0.50) = 0.089264[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n =  500

   The  population proportion is  p =  0.47  

Generally given that the sample size is sufficiently large , the mean of this sampling distribution is mathematically represented as

        [tex]\mu_x = p = 0.47[/tex]

Generally the standard deviation of the sampling distribution is mathematically represented as

       [tex]\sigma = \sqrt{\frac{p(1- p )}{ n} }[/tex]

=>     [tex]\sigma = \sqrt{\frac{ 0.47 (1-0.47 )}{ 500 } }[/tex]

=>     [tex]\sigma = 0.0223[/tex]

Gnerally the probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50 is mathematically represented as

          [tex]P( X > 0.50) = P( \frac{ X - \mu }{ \sigma } > \frac{ 0.50 - 0.47 }{ 0.0223 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>        [tex]P( X > 0.50) = P( Z> 1.3453 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  1.3453   is

          [tex]P( Z> 1.3453 ) = 0.089264[/tex]

So  

          [tex]P( X > 0.50) = 0.089264[/tex]

Using the normal distribution and the central limit theorem, it is found that there is a 0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  

After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample proportions of size n of a proportion p has [tex]\mu = p, s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this problem:

The mean and the standard deviation are:

[tex]\mu = p = 0.47[/tex]

[tex]\sigma = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.47(0.53)}{500}} = 0.0223[/tex]

The probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50 is 1 subtracted by the p-value of Z when X = 0.5, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.5 - 0.47}{0.0223}[/tex]

[tex]Z = 1.34[/tex]

[tex]Z = 1.34[/tex] has a p-value of 0.9099.

1 - 0.9099 = 0.0901

0.0901 = 9.01% probability that the proportion of voters in the sample of Region A who support the ballot measure is greater than 0.50.

A similar problem is given at https://brainly.com/question/24663213

Answer:

300

-100

Step-by-step explanation:

-50 + -250 = -300

-300 + x = 0

x = 300

-425 + 250 + 275 = 100

-100 + x = 0

x = -100

Answer:

6.) 300 7.) -100

Step-by-step explanation:

Answer:

[tex] x = 4 [/tex]

Step-by-step explanation:

Since the diagonals of a parallelogram bisects each other, therefore:

[tex] x + 1 = 2x - 3 [/tex]

Collect like terms

[tex] x - 2x = -1 - 3 [/tex]

[tex] -x = -4 [/tex]

Divide both sides by -1

[tex] x = 4 [/tex]