A drink and a sandwich together cost $4.85. The sandwich cost $1.35 more than the drink. How much does the sandwich cost.

Answer: 120 kids were surveyed

              And 20 kids chose stuffed animal

Step-by-step explanation: hope this help

Answer:

120 were surveyed and about 16%(16.6666%) chose stuffed animal

Step-by-step explanation:

Answer:

6.66666667E-5

hope this helped a bit!

Answer:

a) 0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.

b) 0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.

c) 0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set 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]

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean of a population is 74 and the standard deviation is 15.

This means that [tex]\mu = 74, \sigma = 15[/tex]

Question a:

Sample of 36 means that [tex]n = 36, s = \frac{15}{\sqrt{36}} = 2.5[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 78. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{78 - 74}{2.5}[/tex]

[tex]Z = 1.6[/tex]

[tex]Z = 1.6[/tex] has a pvalue of 0.9452

1 - 0.9452 = 0.0548

0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.

Question b:

Sample of 150 means that [tex]n = 150, s = \frac{15}{\sqrt{150}} = 1.2247[/tex]

This probability is the pvalue of Z when X = 77 subtracted by the pvalue of Z when X = 71. So

X = 77

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

[tex]Z = \frac{77 - 74}{1.2274}[/tex]

[tex]Z = 2.45[/tex]

[tex]Z = 2.45[/tex] has a pvalue of 0.9929

X = 71

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

[tex]Z = \frac{71 - 74}{1.2274}[/tex]

[tex]Z = -2.45[/tex]

[tex]Z = -2.45[/tex] has a pvalue of 0.0071

0.9929 - 0.0071 = 0.9858

0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.

c. A random sample of size 219 yielding a sample mean of less than 74.2

Sample size of 219 means that [tex]n = 219, s = \frac{15}{\sqrt{219}} = 1.0136[/tex]

This probability is the pvalue of Z when X = 74.2. So

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

[tex]Z = \frac{74.2 - 74}{1.0136}[/tex]

[tex]Z = 0.2[/tex]

[tex]Z = 0.2[/tex] has a pvalue of 0.5793

0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2

Answer:

Step-by-step explanation:

The x value comes first. The y value second. (alphabetical order).

A (-1,4)

B (2,3)

C (3,0)

Answer:

We have 8 boys and 12 girls, and we have 5 boys that have a speaking part, and 7 of the 12 girls do not have a speaking part, so 5 girls have a speaking part, which makes 10 speaking parts out of 20 so we have [tex]\frac{10}{20} = \frac{1}{2}[/tex].

Hope this helps!

Answer:

Step-by-step explanation:

This math problem is only made difficult b/c they want you to figure out home many total kids have a speaking part in the play

5 boys do , but they give the mount of girls in a tricky way solve that part.  then mulitipy by 5 to make the totals from 100

20 total  kids

8 are boys

20-8 = 12

12 are girls

7 of those 12 do NOT speak in the play

12 - 7 = 5

5 girls speak in the play

5 boys + 5 girls = 10 kids speak in the play

you can probably figure out from   here...  1/2 of the kids speak .. that are in the play

so it's 50% as likely .. to pick someone that has a speaking part in the play as not

The arrays found here are as follows; red: 1 blue 2 yellow 7. green. 16

Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.

We are given that Max has 2 red tiles, 3 blue tiles, 4 yellow

tiles, and 8 green tiles.

We can see that 4 and 9 could be 1 array. 2 and 18 can be another array. 3 and 12 could be another one. 6 and 6 could be another array. Lastly, 1 and 36 could be an array.

There should be a total of 5 arrays. If we include the 1 and 36 array, then it's 5, I'd you don't include it, then it's 4 arrays.

Hence, there are  red: 1 blue 2 yellow 7. green. 16

Learn more about combinations and permutations here:

https://brainly.com/question/16107928

#SPJ2

Answer:

all of the above

Step-by-step explanation:

Step-by-step explanation:

i think that it will be (D) all the above

Answer:

2 and 4

Step-by-step explanation:

Answer:

#3

Step-by-step explanation:

Answer:

Step-by-step explanation:

ΔABD ≅ ΔAEC because:

We have two sides and the included angle congruent - SAS

Corresponding parts of congruent figures are congruent:

Now, ∠CED is exterior angle and exterior angle is same as sum of non-adjacent interior angles:

Answer:

x=6,24

Step-by-step explanation:

Use the Theorem of Pythagoras.

H^2= S^2+ S^2

8^2= 5^2 + S^2

64-25 = S^2

39 = S^2

6,24= S

S is x therefore x = 6,24

Answer:

irrational number

Step-by-step explanation:

It is a non-recurring continuous decimal number

Answer:

Irrational and 3.14159

Step-by-step explanation:

t

Answer:

what ?? I couldn't understand

Answer:

(1/6)2

Step-by-step explanation:

(1/6)2 has a value of 1/36

Answer:

The answer is 20

Step-by-step explanation:

In ratio what you do one side you do on the other side 5:4=25:20

5×5=25

4×5=20

Answer: 116.67

Step-by-step explanation:

30/100 * x = 35

3/10 * x = 35

3x = 350

x = 116.67

Answer:

239.32 and 2359.20

Step-by-step explanation:

just completed this test dawg

Answer:

His monthly payment for the loan will be $

239.32,

and the total finance charge for the loan will be $

2,359.20.

Step-by-step explanation:PLATO

Answer:

Should be 4/7

Hope it helps have a good day!

Answer:

3 propability because your just trying to find out how many times he can get two different tyes of biscuits. So your answer is 3

Step-by-step explanation:

I hope this helps!!!

Answer:

-$9.6

Step-by-step explanation:

X : ___ 1000 ____600 ____300 ___200

P(x): __ 1/1000 _ 2/1000 _ 2/1000 _ 5/1000

Expected winning per ticket :

Σ(X * p(X)) = [(1000 * 1/1000) + (600 * 2/1000) + (300 * 2/1000) + (200 * 5/1000) - price per ticket

= 1 + 1.2 + 0.6 + 1 - 7

= 3.8 - 7

= - $3.2

Expextwd winning if 3 tickets Is purchased :

3 * - 3.2= - $9.6

Answer:

a. Linear pair theorem

b. x = 40

Step-by-step explanation:

a. You can use linear pair theorem. That is, two angles on a straight line are supplementary. They sum up to 180°

b. Thus:

x + (4x - 20) = 180°

x + 4x - 20 = 180

5x - 20 = 180

5x = 180 + 20

5x = 200

x = 200/5

x = 40

Answer:

EG and QM

Step-by-step explanation:

SAS or side angle side

so to start evaluate what u have already

EF =QN means that the two sides are congruent

then <MQN = <GEF

the angle Q is = to angle E

so fid the next two sides that fit the pattern or EG and QM

Answer:

sin2θ = [tex]\frac{12}{13}[/tex]

Step-by-step explanation:

Since, sin2θ = 2sinθcosθ

From the triangle given in the picture,

Opposite side of angle θ = 2 units

Adjacent side of angle θ = 3 units

Hypotenuse = [tex]\sqrt{2^2+3^2}[/tex] = [tex]\sqrt{13}[/tex] [By Pythagoras theorem]

sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

       = [tex]\frac{2}{\sqrt{13}}[/tex]

cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

        = [tex]\frac{3}{\sqrt{13} }[/tex]

sin2θ = [tex]2\times (\frac{2}{\sqrt{13}})(\frac{3}{\sqrt{13}})[/tex]

         = [tex]\frac{12}{13}[/tex]

Answer:

2 to 3, 4 to 6, 8 to twelve

Step-by-step explanation:

the boys are first, girls second

Answer: 3:2 ... 9:6... 27:18 you can put 81:54 too

Step-by-step explanation:

The little lines through the 4 sides mean all the sides are the same length.

The area is side x side = 8 x 8 = 64 square cm.

Perimeter is the sum of the 4 sides = 8 + 8 + 8 +8 = 32 cm.

Answer:

Perimeter

P =a+a+a+a =4a

P = 4*8

P=32cm

Area

A = a*a = [tex]a^{2}[/tex]

A = [tex]8^{2}[/tex]

A = 64[tex]cm^{2}[/tex]

Answer:

17

Step-by-step explanation:

divide by 5 both side and q will be:

q-2=15 then take 2 to the other side which will be positive . therefore

q=17