Liam needs a guitar case. It must be 1.18 m long. Select the case that is suitable? 11.8mm,118cm,1.8m ,11.18mm

Answer:

SD = 5.987, Var(X) = 35.85

Step-by-step explanation:

Apply the standard deviation formula, remembering that n represents the sample size. Then, just take the square of the standard deviation to obtain the variance.

Hope this helps!

Answer:

B. The radius

Step-by-step explanation:

The area of a sector of a circle is ½ r² ∅, where r is the radius and ∅ the angle in radians subtended by the arc at the centre of the circle so we need to know the radius for it

Answer:

9/16

Step-by-step explanation:

captain has a 3/4 probability of hitting the ship

pirate has a 1/4 probability of hitting the ship

This means he has a 3/4 probability of missing the ship

P (captain hitting and pirate missing) = 3/4*3/4 = 9/16

Answer:

D is 10

b/12

Step-by-step explanation:

Answer:

D. It would be less steep

Step-by-step explanation:

The first graph moves at a rate of 5/1 which is a greater fraction than 3/4

Answer: Length: 4, width: 6

Step-by-step explanation:

Let the length be x and width be y

Then x=2y-8 and xy=24

Substitute to get 2y-8 * y = 24, so 2y^2-8y=24 or y^2-4y=12, then solve to get y=6 or y=-2. Since width is positive y=6.

Substitute y=6 into xy=24 to get x=4.

Length: 4, width: 6

Hope that helped,

-sirswagger21

Answer:

B.

Step-by-step explanation:

Volume of balloon = 4/3πr³

= 4/3(3.14)(0.5)³

= 0.52 cubic feet

Now

A helium tank contains 50 cubic feet of helium So,

Spherical balloons = 50/0.52

= 95.4

≈ 100

Answer:

3.6

Step-by-step explanation:

d = sqrt(3^2+2^2) = sqrt(13) = 3.6

Answer:

-14a^2b-42ab^2+56abc

Step-by-step explanation:

You can use the FOIL method

multiply the first numbers

then inner

then outer

then last

Answer:

Number line A.

Step-by-step explanation:

|-5x| - 11 = -1

Add 11 to both sides.

|-5x| = 10

-5x = 10 or -5x = -10

x = -2 or x = 2

Answer: Number line A.

Answer:

D. Time ( length)

Step-by-step explanation:

The function is measuring the length of the race, and the time it took to complete. So, it would be D.

// have a great day //

Answer:

D. Time(length)

Step-by-step explanation:

→The time is on the outside because, according to the information that has been given/provided, the length of the race depends on the time taken to complete the race.

This means the correct answer is "D. Time(length)."

Step-by-step explanation:

let speed of freight train be x

speed of passenger train = x+6

Passenger train distance = 280 miles

freight train 250 milesthe times taken for these distances is the same

280/(x+6)=250/x

280x=250(x+6)

280x=250x+1500

30x = 1500

x= 50 mph the speed of freight train.

x+6= 50+6 = 56mph = speed of passenger train.

Answer:

y = -3x+4

Step-by-step explanation:

An initial value of 4 would be the y intercept

The only function with a y intercept of 4

(y = mx+b where b is the y intercept)

is y = -3x+4

Answer:

The equation is found to be: [tex]y = 50.6e^{0.16x}[/tex]

y(20) = 1241.34

Step-by-step explanation:

The given data is:

x:   3          7         11        14          17

y: 83      142      301     450      722

Now, we find sum summation values, relevant to the formula of exponential regression model, using calculator:

∑ ln y = 27.77305, ∑x ln y = 308.1494, ∑x = 52, ∑ x² = 664

and, n = no. of data points = 5

Now, we use formulae of exponential regression model to find out values of constant:

b = (n∑x lny - ∑x ∑ln y)/[n∑x² - (∑x)²]

b = [(5)(308.1494) - (52)(27.77305)]/[(5)(664) - (52)²]

b = 0.16

Now, for a;

a = (∑ln y - b∑x)/n

Therefore,

a = [(27.77305) - (0.16)(52)]/5

a = 3.9

For, α:

α = e^a = e^3.9

α = 50.6

So, the final equation of exponential regression model is given as:

[tex]y = \alpha e^{bx}\\ y = 50.6e^{0.16x}[/tex]

Now, we find value of y for x = 20:

y(20) = (50.6) e^(0.16*20)

y(20) = 1241.34

Answer:

[tex]70 \: cm^2[/tex]

Step-by-step explanation:

Area of parallelogram.

[tex]A=bh[/tex]

[tex]b \times h[/tex]

[tex]14 \times 5[/tex]

[tex]=70[/tex]

Answer:

-3/5

Step-by-step explanation:

3x+5y=0

Subtract 3x from each side

3x+5y-3x=0-3x

5y = -3x

Divide each side by 5

5y/5 = -3x/5

y = -3/5 x

A direct variation is y = kx

y = -3/5 x

The constant of variation is -3/5

Answer:

8 hours

Step-by-step explanation:

Solve with a proportion

[tex]\frac{12}{5}[/tex] = [tex]\frac{19.20}{x}[/tex]

Multiply 5 by 1.6 to get x

5 x 1.6 = 8

Answer:

n +10 =20

Step-by-step explanation:

answer =20 . thank God

Answer:

j=13, g=20.8, h=24

Step-by-step explanation:

The overall shape given and the shape within, are both right triangles. With right triangles, you are allowed to use the pythagorean theorem formula ([tex]a^{2} + b^{2} = c^{2}[/tex]) in order to solve for some sides. In this case, that would be j and h. The five in the smaller triangle is represented by b and the 12 is the hypotenuse so it is represented by c. When you plug in those numbers in the pythagorean theorem formula, you will find the value of j to be 13. When looking at this, we see that 12 is the second greatest value in the right triangle values that we just found, so we know the the opposing angle for that one will be 60 degrees. The 5's opposing side is therefore 30 degrees. When subtracting 90 and 30, we get 60, so therefore you can use the 30 60 90 formula to find the sides of the bigger triangle. The 60 degrees represents g. This formula will be [tex]a\sqrt{3}[/tex]. The a is 12 since it is the smallest value. So therefore, g is [tex]12\sqrt{3}[/tex], which is 20.8. Now that we have this side, we can just use the pythagorean theorem formula to find the remaining side. Therefore, h is going to be 24

Answer:

Ratio of Able's score to Ben=6:1

Ratio of Ben's score to Cal's=1:2

Ratio of able's score to ben;s score to cal's score=6:1:2

Step-by-step explanation:

Let Ben's score =x

Able scored six times Ben's score

Able=6*x

=6x

Cal scored a third of Able's score

Cal=1/3 of 6x

=1/3(6x)

Ratio of Able's score to Ben

6x:x

=6:1

Ratio of Ben's score to Cal's score

x:1/3(6x)

=x:6x/3

=x:2x

=1:2

Ratio of able's score to ben;s score to cal's score=6:1:2

Answer:

A paired sample t-test

Step-by-step explanation:

A paired sample t-test is most of the time used when in determining the difference between two related dependent variables and in this context; we have

approval ratings before the senator's decision variables and

approval rating after the senator's decision variables for the same subject

These revolves around the senator's decision causing a decrease in approval ratings. Often the two variables are separated by time.

It is used to determine whether the mean of the dependent variable (approval ratings) is the same in the two related groups (the before and after decision groups).

Answer:

[tex]\frac{8}{49}[/tex]

Step-by-step explanation:

Orange: [tex]\frac{4}{7}[/tex]

Red: [tex]\frac{2}{7}[/tex]

[tex]\frac{4}{7} *\frac{2}{7} =\frac{8}{49}[/tex]

Answer:

[tex]V = \frac13 \pi r^2 h[/tex]

117.81

Step-by-step explanation:

r is half the diameter so 2.5 cm

h is 18

fill in and get:

V = [tex]\frac13 \pi \cdot 6.25 \cdot 18 \approx 117.81 cm^3[/tex]

Answer:

26.94% probability that when he enters the restaurant today it will be at least 5 minutes until he is served.

Step-by-step explanation:

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.

In this question, we have that:

[tex]\mu = 4.2, \sigma = 1.3[/tex]

Find the probability that when he enters the restaurant today it will be at least 5 minutes until he is served.

This is 1 subtracted by the pvalue of Z when X = 5. So

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

[tex]Z = \frac{5 - 4.2}{1.3}[/tex]

[tex]Z = 0.615[/tex]

[tex]Z = 0.615[/tex] has a pvalue of 0.7308.

1 - 0.7308 = 0.2694

26.94% probability that when he enters the restaurant today it will be at least 5 minutes until he is served.

Answer: this is a guess but 7.69 percent chance that you will pick a blue candy

Step-by-step explanation:

Answer:

Choosing 1 blue and 1 green candy

Step-by-step explanation:

There are no red candies and there is only 1 blue candy.

Answer:

3 3/5 hours.

Step-by-step explanation:

There are 3 students who logged 1 1/5 so:

[tex]1\frac{1}{5} +1\frac{1}{5} +1\frac{1}{5} =3\frac{3}{5}[/tex]

3 3/5 hours have been logged total by those who logged 1 1/5 hours.

Answer:

2.5 sec

Step-by-step explanation:

Height of wall = 2.5 m

initial speed of ball = 14 m/s

height from which ball is kicked = 0.4 m

we calculate the speed of the ball at the height that matches the wall first

height that matches wall = 2.5 - 0.4 = 2.1 m

using  =  + 2as

where a = acceleration due to gravity = -9.81 m/s^2 (negative in upwards movement)

=  + 2(-9.81 x 2.1)

= 196 - 41.202

= 154.8

v =  = 12.44 m/s

this is the velocity of the ball at exactly the point where the wall ends.

At the maximum height, the speed of the ball becomes zero

therefore,

u = 12.44 m/s

v = 0 m/s

a = -9.81 m/s^2

t = ?

using V = U + at

0 = 12.44 - 9.81t

-12.44 = -9.81

t = -12.44/-9.81

t = 1.27 s

the maximum height the ball reaches will be gotten with

=  + 2as

a = -9.81 m/s^2

0 =  + 2(-9.81s)

0 = 196 - 19.62s

s = -196/-19.62 = 9.99 m. This the maximum height reached by the ball.

height from maximum height to height of ball = 9.99 - 2.5 = 7.49 m

we calculate for the time taken for the ball to travel down this height

a = 9.81 m/s^2 (positive in downwards movement)

u = 0

s = 7.49 m

using s = ut + a

7.49 = (0 x t) +  (9.81 x  )

7.49 = 0 + 4.9

 = 7.49/4.9 = 1.53

t =  = 1.23 sec

Total time spent above wall = 1.27 s + 1.23 s = 2.5 sec

Answer:

The expected value of each warranty sold is $23.8.

Step-by-step explanation:

0.8% probability of the product failling.

If the product fails, the company will lose 400 - 27 = $373. So a net value of -373.

100 - 0.8 = 99.2% probability of the product not failling.

If the product does not fail, the company gains $27.

What is the company's expected value of each warranty sold?

We multiply each outcome by its probability.

0.008*(-373) + 0.992*27 = 23.8

The expected value of each warranty sold is $23.8.

Answer:

[tex]x+6y[/tex] where x is the cost of one adult ticket and y is the cost of one child ticket.

Step-by-step explanation:

This is an incomplete question since we would need to know the cost of the adult ticket and the cost of the children ticket.

However, let's say that the price is x dollars per adult and y dollars per child.

Now, we need to find out how much one adult and 6 children paid.

Thus, we would have to multiply the cost per adult by the number of adults and the cost per child per number of children and then sum up these two results.

Writing this in an algebraic way we would have:

[tex]1(x)+6y\\x+6y[/tex]

Thus, 1 adult and 6 children would have paid x + 6y dollars where x is the cost of the adult ticket and y is the cost of the children ticket.

(For example, if an adult ticket is 6 dollars and a child ticket is 4 dollars we would have that they paid 6 + 6(4) = 6 + 24 = 30 dollars)

Answer:

The sample proportion for the births that are girls is 0.505. It is slightly higher than the expected value of 0.5, but the right way to answer if it is an unusual proportion is by performing an hypothesis test.

The hypothesis test results in not enough evidence to claim that the outcome is unlikely. This sample result has a probability of 0.7627 of appearing by pure chance in a population with proportion p=0.5.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the proportion of girls birth differs significantly from the expected proportion (50%).

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.5\\\\H_a:\pi\neq 0.5[/tex]

The significance level is 0.05.

The sample has a size n=1100.

The sample proportion is p=0.505.

p=X/n=556/1100=0.505

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{1100}}\\\\\\ \sigma_p=\sqrt{0.000227}=0.015[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.505-0.5-0.5/1100}{0.015}=\dfrac{0.005}{0.015}=0.302[/tex]

This test is a two-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=2\cdot P(z>0.302)=0.7627[/tex]

As the P-value (0.7627) is greater than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion of girls birth differs significantly from the expected proportion (50%).