When Ravi brought 3 friends to his house after school, his mother gave them a box of pretzels and a box of crackers. She told them to share the snacks equally among themselves and to give her any that were leftover.
The boys opened the boxes and found a total of 26 pretzels and 35 crackers.
How many pretzels and crackers did the boys give to Ravi's

Answer:

0.288

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 normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, 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.

In this question, we have that:

[tex]\mu = 17.48, \sigma = 3.25, n = 10, s = \frac{3.25}{\sqrt{10}} = 1.027740[/tex]

Find the probability that the mean printing speed of the sample is greater than 18.06 ppm.

This is 1 subtracted by the pvalue of Z when X = 18.06. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{18.06 - 17.48}{1.027740}[/tex]

[tex]Z = 0.56[/tex]

[tex]Z = 0.56[/tex] has a pvalue of 0.712

1 - 0.712 = 0.288

The answer is 0.288

Answer:

2,808

Step-by-step explanation:

since 117 = d then we would just plug that into the equation of s = 24d and get s = 24(117), after that you would just solve.

Answer:

53

Step-by-step explanation:

Answer: 178 1/4 or 713/4

Step-by-step explanation:

178.25 = 178+0.25 = 178+25/100

gcd(25,100) = 25

178.25 = 178+(25/25)/(100/25) = 178+1/4 = 713/4

Answer:

B and C

Step-by-step explanation:

The correct options are :

A cross-section that is perpendicular to the base of a cube.

A cross-section that is perpendicular to the base of a cylinder whose base diameter and height are the same.  

In both the cases the length and the width of the section are equal

Answer:  h = -(16t + 3)(t - 2)

               h(0) = 6

               h(1) = 19

               h(2) = 0

Step-by-step explanation:

Factor the equation by finding two numbers whose

product = a×c and sum = b, then replace the b value with those two numbers and factor the equation.

h = -16t² + 29t + 6      

 a=-16   b=29   c=6           a×c = -96      b = 29      

                                      32 × -3 = 96          32 + (-3) = 29

h = -16t² + 32t    -3t + 6

h = -16t(t - 2)      -3(t - 2)

h = (-16t - 3) (t - 2)

h = -(16t + 3)(t - 2)

h(0) = -[16(0) + 3] [0 - 2]

      = -(3)(-2)

      = 6  

h(1) = -[16(1) + 3] [1 - 2]

      = -(19)(-1)

      = 19  

h(2) = -[16(2) + 3] [2 - 2]

      = -(35)(0)

      = 0  

Answer:

Marianne made an inference that is true based on the data. More than half of the people surveyed in each sample chose oranges as their favorite fruit. Since most people in each sample chose oranges, it is likely that oranges are the favorite fruit of the entire population.

hope it help please mark me as brainliest

Complete Question:

Dustin is buying carpet for the living room. If the length of the room is 21 ft and the width

is 11 ft, how many square feet of carpet does he need to buy?

Answer:

231 ft²

Step-by-step explanation:

==>GIVEN:

Length of room (L) = 21 ft

Width of room (W) = 11 ft

==>REQUIRED:

Square feet of carpet to be bought = area of the rectangular room

==>SOLUTION:

The room to be covered with carpet is rectangular in shape. In order to ascertain the square feet of carpet to be bought, we need to calculate the area of the room by using the formula for area of rectangle.

Thus, area of rectangle (A) = Length (L) × Width (W)

A = 21 × 11

A = 231 ft²

Square feet of carpet to be bought = 231 ft²

Answer:

[tex]x_{2} = 0.0000[/tex]

Step-by-step explanation:

The formula for the Newton's method is:

[tex]x_{i+1} = x_{i} + \frac{f(x_{i})}{f'(x_{i})}[/tex]

Where [tex]f' (x_{i})[/tex] is the first derivative of the function evaluated in [tex]x_{i}[/tex].

[tex]x_{i+1} = x_{i} + \frac{x_{i}^{4}-x_{i}-3}{4\cdot x_{i}^{3}-1}[/tex]

Lastly, the value of [tex]x_{2}[/tex] is determined by replacing [tex]x_{1}[/tex] with its numerical value:

[tex]x_{2} = x_{1} + \frac{x_{1}^{4}-x_{1}-3}{4\cdot x_{1}^{3}-1}[/tex]

[tex]x_{2} = 1.0000 + \frac{1.0000^{4}-1.0000-3}{4\cdot (1.0000)^{3}-1}[/tex]

[tex]x_{2} = 0.0000[/tex]

Step-by-step explanation:

45.50

Converting decimal

45.50 x 100 = 4550

Answer:

x = 1/2    x=-5

Step-by-step explanation:

(2x-1)(x+5)=0

Using the zero product property

2x-1 =0  x+5 =0

2x= 1    x = -5

x = 1/2    x=-5

I hope This Helps❣ If U Nees Help Notify Me And I Will Post More❣

Answer:

[tex]x=5/48[/tex]

Step-by-step explanation:

[tex]2/5 + 1/x =10[/tex]

[tex]1/x=10-2/5[/tex]

[tex]1/x=48/5[/tex]

[tex]48x=5[/tex]

[tex]x=5/48[/tex]

Answer:

[tex]x = \frac{5}{48} [/tex]

Step-by-step explanation:

[tex]\frac{2}{5} + \frac{1}{x} = 10 \\ \frac{1}{x} = 10 - \frac{2}{5} \\ \frac{1}{x} = \frac{50 - 2}{5} \\ \frac{1}{ x } = \frac{48}{5} \\

use \: \: \: \: cross \: \: \: multiply

\\ 5 = 48x \\ \frac{5}{48} = \frac{48x}{48} \\ x = \frac{5}{48} \\ [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The 95% confidence interval for the difference of means is (7.67, 16.33).

The estimate is Md = 12.

The standard error is sM_d = 2.176.

Step-by-step explanation:

We have to calculate a 95% confidence interval for the difference between means.

The sample 1 (this year's sales), of size n1=36 has a mean of 53 and a standard deviation of 12.

The sample 2 (last year's sales), of size n2=49 has a mean of 41 and a standard deviation of 6.

The difference between sample means is Md=12.

[tex]M_d=M_1-M_2=53-41=12[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12^2}{36}+\dfrac{6^2}{49}}\\\\\\s_{M_d}=\sqrt{4+0.735}=\sqrt{4.735}=2.176[/tex]

The degrees of freedom are:

[tex]df=n_1+n_2-1=36+49-2=83[/tex]

The critical t-value for a 95% confidence interval and 83 degrees of fredom is t=1.989.

The margin of error (MOE) can be calculated as:

[tex]MOE=t \cdot s_{M_d}=1.989 \cdot 2.176=4.328[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=M_d-t \cdot s_{M_d} = 12-4.328=7.67\\\\UL=M_d+t \cdot s_{M_d} = 12+4.328=16.33[/tex]

The 95% confidence interval for the difference of means is (7.67, 16.33).

Answer:

z=12500

Step-by-step explanation:

Of means multiply and is means equals

85% *z = 106250

Change to decimal form

.85z = 106250

Divide each side by .85

.85z/.85 = 106250 /.85

z=12500

Answer: negative

Step-by-step explanation:

because –57 + 19= -38

and negative plus positive is negative

so the answer is negative

Hope this helps :)

Answer:

Negative

Compare the absolute values (how far the number is away from zero)

57 is bigger than 19

since 57 is negative and bigger than 19 when they add the sum will still be negative

Step-by-step explanation:

Answer:

108

Step-by-step explanation:

9 times 12 is 108

Answer:

In 6 years, Ralph will be only twice as old as Sara

Step-by-step explanation:

Answer:

The answer is C, 3x+4

Step-by-step explanation:

The “in four years” part translates to +4. The 3x translates to 3 times his current age. Hope this helped :)

Answer:

y = 8 - 5x

Step-by-step explanation:

both equations shares the same gradient as they are parallel

from y= 9-5x, the gradient is -5

subst x = 0, y=8, and m= -5 into the y = mx + c to find the value of c

8 = (-5)(0) + c

c= 8

therefore the eqn is y = 8 - 5x

Answer:

-3

Step-by-step explanation:

Because -3x-3=9 and 9+8= 17. 17 is greater than 14

Answer:

Step-by-step explanation:

THIS IS THE COMPLETE QUESTION BELOW;

A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.

CHECK THE ATTACHMENT FOR THE GRAPH

EXPLANATION;

FIRST QUESTION:

From the graph maximum profit is the value gotten where p(X) has maximum value, and the maximum value is observed at y- axis at P(X)to be 675.

Thefore, maximum profit the florist will earn from celebration bouquet is $675.

SECOND QUESTION:

Break even is the exact point that profit p(x) is observed as zero.

Checking the given g graph the point where there is zero value of p(X) is observed at x=20 and x= -10 but we can only pick the positive value which is x=20

Therefore, the florist will break even after 20 one- dollar decreases

THIRD QUESTION;

The interval of number of one dollar decreases can be observed at the point where we have the value of P(x) been more than zero, looking at the given graph, the P(x) has its value greater than zero at the interval 0 to 20.Therefore, it can be concluded that the interval of number of one dollar decreases for which the florist makes a profit from celebration bouquet is (0, 20)

Answer:

Step-by-step explanation:

Step-by-step explanation:

Total gum balls = 22 + 18 + 10 + 23 = 73

Probability of red gum = 22/73

The puzzle are: 21, 30, 15, 333.

Clock:

Clock time=9 o'clock+9 o'clock+3 o'clock

Clock time=21

Calculator:

Calculator 1=1+2+3+4=10

Calculator 2=1+2+3+4=10

Calculator 3=1+2+3+4=10

Calculator=10+10+10

Calculator=30

Bulb:

The 3 bulb has 5 light each which represent the brightness of the 3 bulb.

Bulb=15+(15-15)

Bulb =15+0

Bulb=15

Fourth puzzle

Clock+Calculator×Bulb

9 o'clock+(1+2+2+4)× [3 bulb(3 bulb×4 light)]

9+9×(3×12)

Apply BODMAS

9+9×36

9+324

=333

Inconclusion the puzzle are: 21, 30, 15, 333.

Learn more about puzzle here:https://brainly.com/question/16999211

Hey there! :)

Answer:

B.

Step-by-step explanation:

To find the solution to the inequality, we can begin by solving for 'x':

2x + 1 ≥ 3

Subtract 1 from both sides:

2x ≥ 2

Divide both sides by 2:

x ≥ 1.

This means that the graph must contain all values of x greater or equal to one. The only number line that shows solutions greater than 1 is B.

Answer:

a) The 99% confidence interval for the mean number of steps taken on a typical workday for all people working in New York City who wear an activity tracker is (9,009, 10,585).

We are 95% confident that the mean number of steps taken on a typical workday for all people working in New York City who wear an activity tracker is within 9,009 and 10,585 steps.

b) No, we can not use the confidence interval to estimate the probability of individual values. It can onlybe used to make inference about the population mean.

Step-by-step explanation:

a) We have to calculate a 99% confidence interval for the mean.

The population standard deviation is not known, so we have to estimate it from the sample standard deviation and use a t-students distribution to calculate the critical value.

The sample mean is M=9,797.

Ths sample standard deviation is s=2,313.

The sample size is N=61.

When σ is not known, s divided by the square root of N is used as an estimate of σM:

[tex]s_M=\dfrac{s}{\sqrt{N}}=\dfrac{2313}{\sqrt{61}}=\dfrac{2313}{7.81}=296.15[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=61-1=60[/tex]

The t-value for a 99% confidence interval and 61 degrees of freedom is t=2.66.

The margin of error (MOE) can be calculated as:

[tex]MOE=t\cdot s_M=2.66 \cdot 296.15=787.84[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=M-t \cdot s_M = 9797-787.84=9009\\\\UL=M+t \cdot s_M = 9797+787.84=10585[/tex]

The 99% confidence interval for the mean number of steps taken on a typical workday for all people working in New York City who wear an activity tracker is (9,009, 10,585).

b) The value of 8,500 steps is outside the confidence interval, but this means that it is an unusual value for the mean number of steps for all people in New York City who wear an activity tracker.

We can not use the confidence interval to estimate the probability of individual values.

The activity tracking devices.

The activity tracker re those devices such as watches and a bands that tells you about your physical activity such as skipping, running, and walking. They simply count the steps and tell you about the daily goals and targets. They are quite effective for monitoring blood pressure and more.

Thus answer is 9,009, 10,585 workers,  9,009, and 10,585 steps and population mean.

Learn more about the trackers are electronic.

brainly.com/question/17434350.

Answer:

[tex]-\dfrac{1}{26}[/tex]

Step-by-step explanation:

[tex]-\dfrac{12}{13}\div 24=\\\\-\dfrac{12}{13} \times \dfrac{1}{24}=\\\\-\dfrac{12}{13\times 24}=\\\\-\dfrac{1}{26}[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

cos X(tanX+cotX) =cscX​

cos X(sinx/cosx +cosx/sinx) =cscx

cos X (sin²+cos²/cossin)=cscx

cosx(1/cossin)=cscx

cross out cosines

1/sinx=cscx

Answer:

800 eggs

Step-by-step explanation:

You would first thing about the starting numbers, Then look at the number 100 and multiply by 8. This would give you 800. This means that you will need 800 eggs to serve 100 people.

Brainliest is greatly appreciated

Answered by: Skylar

6/8/2020

9:59 AM (Eastern Time)

Answer:

the answer is 12.5 i know because i divided 100 by 8 and got 12.5 then multiply then got 100

Step-by-step explanation:

got it right just did the test

The answer is d . Paying less for crops raised by Africa. Americans

Answer: C. Paying less for crops raised by African-Americans

Step-by-step explanation:

Answer:

a). r = [tex]\frac{6}{7}[/tex]

b). At least 5 terms should be added.

Step-by-step explanation:

Formula representing sum of infinite geometric sequence is,

[tex]S_{\inf}=\frac{a}{1-r}[/tex]

Where a = first term of the sequence

r = common ratio

a). If the sum is seven times the value of its first term.

    [tex]7a=\frac{a}{1-r}[/tex]

    [tex]7=\frac{1}{1-r}[/tex]

    7(1 - r) = 1

    7 - 7r = 1

    7r = 7 - 1

    7r = 6

    r = [tex]\frac{6}{7}[/tex]

b). Since sum of n terms of the geometric sequence is given by,

    [tex]S_{n}=\frac{a(1-r^{n})}{1-r}[/tex]

If the sum of n terms of this sequence is more than half the value of the infinite sum.

[tex]\frac{a[1-(\frac{6}{7})^{n}]}{1-\frac{6}{7}}[/tex] >  [tex]\frac{7a}{2}[/tex]

[tex]\frac{1-(\frac{6}{7})^{n}}{1-\frac{6}{7}}> \frac{7}{2}[/tex]

[tex]\frac{1-(\frac{6}{7})^{n}}{\frac{1}{7}}> \frac{7}{2}[/tex]

[tex]1-(\frac{6}{7})^{n}> \frac{7}{2}\times \frac{1}{7}[/tex]

[tex]1-(\frac{6}{7})^{n}> \frac{1}{2}[/tex]

[tex]-(\frac{6}{7})^{n}> -\frac{1}{2}[/tex]

[tex](\frac{6}{7})^{n}< \frac{1}{2}[/tex]

[tex](0.85714)^{n}< (0.5)[/tex]

n[log(0.85714)] < log(0.5)

-n(0.06695) < -0.30102

n > [tex]\frac{0.30102}{0.06695}[/tex]

n > 4.496

n > 4.5

Therefore, at least 5 terms of the sequence should be added.

Answer:

I think the complete question should be:

A researcher has developed a new drug designed to reduce blood pressure. In an experiment, 21 subjects were assigned randomly to the treatment group and received the new experimental drug. The other 23 subjects were assigned to the control group and received a standard well known treatment. After a suitable period of time, the reduction in blood pressure for each subject was recorded.

Treatment group n = 21, x1 mean = 23.48, sd = 8.01

Control group n = 23, x2 = 18.52, sd = 7.15

Based on these data, the computed two-sample t statistic is:

Step-by-step explanation:

Since the variances to be calculated from the sd are unequal we use this formula:

t statistics = (x1 - x2) / [(sd1²/n1) + (sd2²/n2) where n1 = 21, x1 mean = 23.48, sd1 = 8.01, n2 = 23, x2 = 18.52, sd2 = 7.15

Thus, we have

test statistic= (23.48-18.52) / [(8.01²/21) + (7.15²/23)]

Test statistics = 4.96 / (324.36/21)+(51.12/23)]

Test statistics = 4.96/ (15.45+2.43)

t statistic = 4.96 / 17.88

t statistics = 0.2774

I hope that helps, you can use this to solve for tours if the values are not the same

[tex]answer = \frac{25}{56} \\ solution \\ \frac{3}{7} + \frac{1}{56} \\ = \frac{3 \times 8 + 1}{56} \\ = \frac{24 + 1}{56} \\ = \frac{25}{56} \\ hope \: it \: helps \: \\ good \: luck \: on \: your \: assignment[/tex]

Answer:

25/56

Step-by-step explanation:

3/7 + 1/56

We have to find the L.C.M of 7 and 56

The L.C.M of 7 and 56 is 56

Now, we have to change the denominators to 56

we dont need to change the denominator of 1/56 to 56 as it is already 56

[tex]\frac{3}{7}[/tex] * [tex]\frac{8}{8}[/tex] = [tex]\frac{24}{56}[/tex]

Now we can add the fractions

[tex]\frac{24}{56} + \frac{1}{56}[/tex] [tex]= \frac{25}{56}[/tex]

Hope it helped :>