Tomas has two boxes to be shipped. One box weighs 3 \text{ kilograms}3 kilograms3, start text, space, k, i, l, o, g, r, a, m, s, end text. The other box weighs 720 \text{ grams}720 grams720, start text, space, g, r, a, m, s, end text.

Answer:

A or D i think..

Step-by-step explanation:

Answer:

a) Null hypothesis:[tex]\mu \geq 3[/tex]  

Alternative hypothesis:[tex]\mu < 3[/tex]  

This hypothesis test is a left tailed test.

b) [tex]t=\frac{2.8-3}{\frac{2.6}{\sqrt{1310}}}=-2.784[/tex]  

The p value for this case can be calculated with this probability:  

[tex]p_v =P(z<-2.784)=0.0027[/tex]  

We can conduct the test with the Ti84 using the following steps:

STAT>TESTS>T-test>Stats

We input the value [tex]\mu_o =3, \bar X= 2.8, s_x = 2.6, n=1310[/tex] and for the alternative we select [tex]< \mu_o[/tex]. Then press Calculate.

And we got the same results.  

Step-by-step explanation:

Information given

[tex]\bar X=2.8[/tex] represent the sample mean

[tex]s=2.6[/tex] represent the population standard deviation  

[tex]n=1310[/tex] sample size  

[tex]\mu_o =3[/tex] represent the value to test

[tex]\alpha=0.5[/tex] represent the significance level for the hypothesis test.  

t would represent the statistic

[tex]p_v[/tex] represent the p value for the test

Part a) System of hypothesis

We want to test if the true mean is less than 3, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \geq 3[/tex]  

Alternative hypothesis:[tex]\mu < 3[/tex]  

This hypothesis test is a left tailed test.

Part b

The statistic is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]t=\frac{2.8-3}{\frac{2.6}{\sqrt{1310}}}=-2.784[/tex]  

The p value for this case can be calculated with this probability:  

[tex]p_v =P(z<-2.784)=0.0027[/tex]  

We can conduct the test with the Ti84 using the following steps:

STAT>TESTS>T-test>Stats

We input the value [tex]\mu_o =3, \bar X= 2.8, s_x = 2.6, n=1310[/tex] and for the alternative we select [tex]< \mu_o[/tex]. Then press Calculate.

And we got the same results.  

Answer:

[tex]1/16[/tex]

Step-by-step explanation:

[tex]\frac{4^{4} }{4^{6} }[/tex]

[tex]4^{4-6}[/tex]

[tex]4^{-2}[/tex]

[tex]\frac{1}{4^{2} }[/tex]

[tex]\frac{1}{16}[/tex]

Answer:

5

Step-by-step explanation:

The right answer is 5.

look at the attached picture

Hope it helps...

Good luck on your assignment

Answer:

Step-by-step explanation:

The equation is not properly written. Here is the correct expression

[tex]\frac{59+74+62+x}{4} = 70[/tex]

Find the problem situation that matches according to the steps below:

Step 1: We will cross multiply

[tex]59+74+62+x = 4*70\\59+74+62+x = 280\\195+x = 280\\[/tex]

Step 2: Subtract 195 from both sides of the equation

[tex]195+x-195 = 280-195\\x = 280-195\\x = 85[/tex]

Answer: 10

Step-by-step explanation: 4(2 x 10 + 6) -10

Step-by-step explanation:

1. 45/5 = 9

2. 53 is not a multiple of 5

3. 164 - 20 = 144

4. 372 rounded is 400.

5. 5 edges

6. 382 + 200 = 582

7. 6500 meters

8. -6

9. 65 cm

10. 90/2 = 45

11. idk since i live in us

12. 8 * 3 = 24

13. July 30th

14. 6

15. 28

16. 2.5 * 3 = 7.50

Answer:no the vertices of the image and pre image don’t correspond

Step-by-step explanation:

Just did it

No, the vertices of the image and pre-image do not correspond

Step-by-step explanation:

It’s correct

Answer:

7.5 feet

Step-by-step explanation:

Scale of the Model =5 in: 25 ft.

If we divide both sides by 5

[tex]\dfrac{5 in.}{5} : \dfrac{25 ft.}{5}\\\\$1 inch: 5 feet[/tex]

If a window on the model is 1.5 inch wide, from the unit ratio derived above we then have that:

1 Inch X 1.5 : 5 feet X 1.5 feet

1.5 Inch : 7.5 feet

Therefore, if a window in the model is 1.5 in. wide, the actual window is  7.5 feet wide.

Answer:

42 student tickets and 98 adult tickets

Step-by-step explanation:

Let's call the number of student tickets 's' and the number of adult tickets 'a'.

Then, we can write the two equations below:

5s + 8a = 994

a = 2s + 14

Using the value of 'a' from the second equation in the first one, we have:

5s + 8*(2s + 14) = 994

5s + 16s + 112 = 994

21s = 882

s = 42

Now, finding the value of 'a', we have:

a = 2*42 + 14 = 98

Answer:

The total sold was 98 tickets for adults and 42 for students.

Step-by-step explanation:

In order to calculate the number of tickets of each kind sold we need to create a system of equations with the given information. The first equation can be created is that the sum of adult tickets multiplied by its cost with the student tickets also multiplied by its cost must be equal to the total value of tickets sold, so:

[tex]5*\text{students} + 8*\text{adults} = 994[/tex]

We also know that the number of adult tickets was 14 more than 2 times the number of student tickets, therefore:

[tex]\text{adults} = 2*\text{students} + 14[/tex]

If we apply the second expression on the first one we can solve for the number of tickets sold to students, we have:

[tex]5*\text{students} + 8*(2*\text{students} + 14)= 994\\5*\text{students} + 16*\text{students} + 112 = 994\\ 21*\text{students} = 994 - 112\\\text{students} = \frac{882}{21} = 42[/tex]

We can use this value to find the number of adults ticket sold:

[tex]\text{adults} = 2*42 + 14\\\text{adults} = 98[/tex]

The total sold was 98 tickets for adults and 42 for students.

Answer:

(D)d>2.5

Step-by-step explanation:

Given that the circumference of a circle is greater than 8 meters.

For a circle of diameter d:

Circumference[tex]=\pi d[/tex]

Since [tex]\pi =3.14[/tex]

[tex]3.14d>8[/tex]

To obtain possible values of the diameter d, we divide both sides of the equation by 3.14.

[tex]\dfrac{3/14d}{3.14}>\dfrac{8}{3.14}\\\\ d>2.5$ (correct to 1 decimal places)[/tex]

The correct option is D.

Answer:

To simplify the answer above, D

Step-by-step explanation:

Answer:

[tex] z = \frac{216-222}{\frac{15}{\sqrt{26}}}= -2.040[/tex]

And we can find this probability on this way:

[tex]P(z<-2.040)=0.0207[/tex]

Step-by-step explanation:

Let X the random variable that represent the lenghts of the pregnencies of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(222,15)[/tex]  

Where [tex]\mu=222[/tex] and [tex]\sigma=15[/tex]

We are interested on this probability

[tex]P(\bar X<216)[/tex]

The z score formula is given by:

[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

And if we find the z score we got:

[tex] z = \frac{216-222}{\frac{15}{\sqrt{26}}}= -2.040[/tex]

And we can find this probability on this way:

[tex]P(z<-2.040)=0.0207[/tex]

Answer:

y=4

Step-by-step explanation:

if we draw a function we see that y=4 is paralel to the x axis

A line that is parallel to the x-axis will pass through the y-axis, horizontally.

The equation of line parallel to the x-axis is y = 4

A line that is parallel to the x-axis is represented with the following equation

y = n

Where n can be any real number.

In other words, the following equations are parallel to the x-axis

y = 2

y = 3

y = -2

y = 10

And so on....

Hence, the equation of line parallel to the x-axis is y = 4

Read more about parallel equations at:

https://brainly.com/question/402319

Answer:

x = 30

Step-by-step explanation:

4x + 2x = 180

6x = 180  

x = 30

Answer: Three have a right angle. These are the green rectangle, the pinkish square, and the orange trapezoid.

Step-by-step explanation:

Answer:

[tex]1[/tex]

Step-by-step explanation:

[tex]log(6)-log(16)+log(4)-log(3)+log(20)[/tex]

[tex]0.77815125038-1.20411998266+0.60205999132-0.47712125472+1.30102999566[/tex]

[tex]=0.99999999998[/tex]

Answer:

[tex]t=\frac{(4-3.5)-0}{\sqrt{\frac{1.5^2}{11}+\frac{1^2}{9}}}}=0.890[/tex]  

The p value for this case would be:

[tex]p_v =P(t_{18}>0.890)=0.193[/tex]  

The p value is higher than the significance level so then we can conclude that we can FAIL to reject the null hypothesis and then the true mean for group A is not significantly higher than the mean for B

Step-by-step explanation:

Information given

[tex]\bar X_{1}=4[/tex] represent the mean for sample A

[tex]\bar X_{2}=3.5[/tex] represent the mean for sample B

[tex]s_{1}=1.5[/tex] represent the sample standard deviation for A

[tex]s_{2}=1[/tex] represent the sample standard deviation for B  

[tex]n_{1}=11[/tex] sample size for the group A

[tex]n_{2}=9[/tex] sample size for the group B  

[tex]\alpha=0.1[/tex] Significance level provided

t would represent the statistic

Hypothesis to test

We want to verify if the student who graduates from college A has taken more math classes, on the average, the system of hypothesis would be:  

Null hypothesis:[tex]\mu_{1}-\mu_{2} \leq 0[/tex]  

Alternative hypothesis:[tex]\mu_{1} - \mu_{2}> 0[/tex]  

The statistic is given by:

[tex]t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}[/tex] (1)  

And the degrees of freedom are given by [tex]df=n_1 +n_2 -2=11+9-2=18[/tex]  

Replacing we got:

[tex]t=\frac{(4-3.5)-0}{\sqrt{\frac{1.5^2}{11}+\frac{1^2}{9}}}}=0.890[/tex]  

The p value for this case would be:

[tex]p_v =P(t_{18}>0.890)=0.193[/tex]  

The p value is higher than the significance level so then we can conclude that we can FAIL to reject the null hypothesis and then the true mean for group A is not significantly higher than the mean for B

Answer:

56.76% probability that it came from store A

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Defective.

Event B: Store A.

36% of the sales are from store A

This means that [tex]P(B) = 0.36[/tex]

7% of the DVD players sold at store A are defective.

This means that [tex]P(A|B) = 0.07[/tex]

Probability of a defective DVD:

36% come from store A, and of those, 7% are defective.

100 - 36 = 64% come from store B, and of those, 3% are defective. So

[tex]P(A) = 0.07*0.36 + 0.03*0.64 = 0.0444[/tex]

What is the probability that it came from store A

[tex]P(B|A) = \frac{0.36*0.07}{0.0444} = 0.5676[/tex]

56.76% probability that it came from store A

Answer:

False

Step-by-step explanation:

4 cos^4 (4x)-3 = 0

Substitute into the equation

4 cos^4 (4pi/24)-3 = 0

4 cos^4 (pi/6)-3 = 0

Take the cos pi/6

4 ( sqrt(3)/2) ^4 -3 =0

Take it to the 4th power

4 ( 9/16) -3 =0

9/4 -3 =0

9/4 - 12/4 = 0

-3/4 =0

False

Answer:

THE ANSWER IS TRUE.

Step-by-step explanation:

I did this on my homework.

Answer:

Step-by-step explanation:

Consider a sample with data values of 10, 20, 12, 17, and 16. (a) Compute the mean and median. Mean = Median = (b) Consider a sample with data values 10, 20, 12, 17, 16, and 12.

Mean = Total of values/ Total number of observations

Total of values = 10+20+12+17+16 = 75

Total number of observations = 5

Mean = 75/5 = 15

Median:

Arrange in ascending order = 10, 12,16,17,20

Median = [n+1] / 2

N = number of observation = 5

Median = [5+1]/2 = 3rd observation

Median = 16

Answer & Step-by-step explanation:

We are given two equations...

a + b = 7

a - b = 3

We are asked to find 3a ÷ 3b. In order to find the value of a and b, we have to rearrange one of the equations so it will be easier to find the values of the variables. Let's rearrange the second equation.

a - b = 3 → a = 3 + b

Now that we have an equation that shows the value of a, we can use this equation and plug it into the first equation.

a + b = 7

a = 3 + b

(3 + b) + b = 7

3 + 2b = 7

2b = 4

b = 2

We have the value of b. Now, we have to find the value of a by plugging b into the second equation.

a - b = 3

b = 2

a - 2 = 3

a = 5

Now that we have the values of both variables, we can plug them into (3a÷3b)

3a ÷ 3b

3(5) ÷ 3(2)

15 ÷ 6

5/2 or 2.5

So, 3a ÷ 3b equals 5/2 or 2.5

Answer:

x=5

Step-by-step explanation:

5x- 7 = 18

5x=18+7

5x=25

Therefore, 5 will cancel 25 five(5) times.

x= 5.

Answer:

x = 5

Step-by-step explanation:

Since AB is the bisector, so MO is equal to NO

MO = NO

5x-7 = 18

5x = 18+7

5x = 25

Dividing both sides by 5

x = 5

Answer:

Area = 5/18 square feet

Step-by-step explanation:

To find the area of a rectangle, you need to multiply 5/12 and 2/3. You multiply the numerators and then multiply the denominators. Then you should get 10/36. This fraction can be simplified into 5/18. To do this find the greatest common factor of 10 and 36 (you'll get 2 as the GCF). Then divide 2 to both the numerator and denominator.

Answer:

450 bacteria.

Step-by-step explanation:

To find this, we can set up an exponential equation as shown:

[tex]28800 = a (2)^{\frac{120}{20} }[/tex]

**'a' being the initial value

** '2' representing the culture doubling

Simplify the equation down:

[tex]28800 = a (2)^{6}[/tex]

[tex]28800 = 64a\\a = 450.[/tex]

Therefore, the initial amount of bacteria was 450.

Answer: 18.48

Step-by-step explanation:

To solve this problem, you would use the order of operations. You would solve the parenthesis first and then solve the rest.

(5.6-2.3)(5.4+0.2)

3.3(5.6)

18.48

Answer:

Step-by-step explanation:

18.48

3x² + 2x - 4 = 0

Δ = b² - 4.a.c

Δ = 2² - 4 . 3 . -4

Δ = 4 - 4. 3 . -4

Δ = 52

x = (-b +- √Δ)/2a

x' = (-2 + √52)/2.3    

x'' = (-2 - √52)/2.3

x' = 0,8685170918213297    

x'' = -1,5351837584879966

2 Decimal places

x' = 0,87

x'' = -1,54

Answer: .8685

Step-by-step explanation:

Answer:

between 3 and 4

Step-by-step explanation:

type sqrt(10) into your calculator

The requried, square root 10 lies between integers 3 and  4.

Integers are a set of whole numbers and their negative counterparts. They include positive numbers, negative numbers, and zero.

Examples of integers include -3, -2, -1, 0, 1, 2, 3, and so on.

The integer squares nearest to 10 are 9 and 16, which are the perfect squares of 3 and 4, respectively.

Since [tex]$\sqrt{9}=3$[/tex] and [tex]$\sqrt{16}=4$[/tex], we know that [tex]$\sqrt{10}$[/tex]  is between these two integers, we can say that [tex]$3 < \sqrt{10} < 4$[/tex].

Learn more about integers here:

https://brainly.com/question/15276410

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Answer:

D.

Step-by-step explanation: