Multiple choice
1. Cube
2.Triangular pyramid
3.Triangular prism
4. Rectangular prism

Answer:

The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.

Step-by-step explanation:

A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of cola is 35 milligrams. You want to test this claim.

At the null hypothesis, you test that the mean caffeine content is of 35 milligrams, that is:

[tex]H_o: \mu = 35[/tex]

And at the alternate hypothesis, you test if the content is different from 35, so:

[tex]H_a: \mu \neq 35[/tex]

The test statistic is:

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

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

35 is tested at the null hypothesis:

This means that [tex]\mu = 35[/tex]

During your​ tests, you find that a random sample of thirty​ 12-ounce bottles of cola has a mean caffeine content of 36.8 milligrams. Assume the population is normally distributed and the population standard deviation is 7.3 milligrams.

This means that [tex]n = 30, X = 36.8, \sigma = 7.3[/tex]

Value of the test statistic:

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

[tex]z = \frac{36.8 - 35}{\frac{7.3}{\sqrt{30}}}[/tex]

[tex]z = 1.35[/tex]

Pvalue of the test and decision:

The pvalue of the test is the probability of the mean caffeine content differing from the mean by at least 36.8 - 35 = 1.8, which is P(|z| > 1.35), which is 2 multiplied by the pvalue of z = -1.35.

Looking at the z = -1.35 has a pvalue of 0.0885

2*0.0885 = 0.177

The pvalue of the test is 0.177 > 0.02, which means that at α=0.02, you cannot reject the company's claim.

Answer:

The pot can hold 9 6/10 liters of water

Step-by-step explanation:

Since you know that the pitcher can hold 8/10 liters of water and that Jada has to fill the pitcher 12 times to fill the pot you would first convert the 8/10 liters that the pitcher can hold to a decimal so that would become 0.8 liters of water and then you would multiply the 0.8 by 12 to get 9.6 liters of water and then you can convert that back to a fraction which would be 9 6/10 liters of water. So the pot can hold 9 6/10 liters of water

Answer:

16 cubic units

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

y=2x-2

Step-by-step explanation:

first, let's put the line into y=mx+b form (slope-intercept form), where m is the slope (or gradient) and b is the y intercept

add 5 to both sides

x+2y=5

subtract x from both sides

2y=-x+5

divide by 2

y=-1/2x+5/2

perpendicular lines have slopes (gradients) that are negative (one is positive, another one is negative) and reciprocal (they are essentially the same number, just "flipped")

to find the slope of I2:

since -1/2 is negative, that means the slope of I2 will be 2 (2/1 is the reciprocal of 1/2 (positive version of -1/2))

so here's our equation so far:

y=2x+b

now we need to find b

because line will pass through (3,4), we can use it to solve for b

substitute 4 as y and 3 as x

4=2(3)+b

multiply

4=6+b

-2=b

therefore the equation is y=2x-2

hope this helps!!

Answer:Add 3 to both sides and subtract 8x from both sides.Step-by-step explanation:The standard form of a quadratic equation isHere a should not be zero.Now, we have to write the given equation in this formwe have to take 8x and -3 to the left side of the equation in order to write the equation in standard form.Therefore, we have to subtract 8x and add 3 to both sides of the equation.When we do this operation, we'll get the equation in standard form which is given byHence, option is correct.Add 3 to both sides and subtract 8x from both sides.

Answer:

The value of X is 4, and the area of the triangle is [tex]60^2 units[/tex].

Step-by-step explanation:

First we need to add up all the sides. Doing so will give us the equation [tex]8x+8=40[/tex]. Subtracting 8 from both sides will give us [tex]8x=32[/tex]. Next we divide both sides by 8 in order to isolate the variable, which gives us [tex]x=4.[/tex]

This gives us 4 as our value of x.

Now we need to find the area. Substituting x into the values for base and height will give us 8+7 = 15 for our height, and 4+4=8 for our base. 15*8 is 120, and divided by two gives us 60 as out area.

Thus, x=4 and area=60.

Good day from NightyKnight.

Answer:

C is my answer

Step-by-step explanation:

Answer: ...BEDMAS..

steps,..

70×2+20×30+19

140+600+19

740+19

=759

.... and I'm not all fine lol...wau guy??

Answer:

A

Step-by-step explanation:

The sum of 8 and a number n represents n + 8

Twice that sum would give us 2(n + 8)

Answer:

A. 2(n+8)

sum of 8 and number = n+8

and twice that means 2(n+8)

Answer:

A. H0:μ≥29;HA:μ<29

Pvalue < 0.01

D. Reject H0; the hourly wage is less than $29

Step-by-step explanation:

The null hypothesis will negate the claim which will be the hypothesis to be tested. Therefore, since the claim is to test if hourly wage is less Than 29 ; then the null will be that hourly wage is equal to or greater than 29

H0:μ≥29;HA:μ<29

The Pvalue measure the probability that the extremity of our finding against a certain α level. The Pvalue obtained using the Excel function should be 0.00058

When Pvalue is < α ; We reject the null hypothesis

Hence, Reject H0; the hourly wage is less than $29 and conclude that hourly wage is less Than $29

Answer:

$13.97

Step-by-step explanation:

First, find how much the cost was for the two coffees:

2.38 + 3.65

= 6.03

Find how much change he got by subtracting this from 20:

20 - 6.03

= 13.97

So, he got $13.97 in change

Answer:

At first the total money spent by Mr. Newcomb = $ 2.38 + $3.65

=> 6.03

Now

According to the question

Change she get = 20 - 6.03

= 13.97

Answer: 1/8

Step-by-step explanation: hoped this helped:))

Answer:

i think its 1/3

Step-by-step explanation:

Answer:

The table represents a linear function.

Step-by-step explanation:

Graphed, the points go in a straight line, and you are able to draw a line through it. The equation for the line is y = 4x + 4.

Step-by-step explanation:

Can you re-do it and send like an example for it THANK YOU SM

Answer:

0.637 m or 63.7 cm

Step-by-step explanation:

Formula

d = n *  pi di

Givens

di = diameter and is unknown

n = 29 times

d = 58 meters

Solution

58 = 29 * 3.14 * di

2 = 3.14 * di

2/3.14 = di

d = 0.637 meters

or

d = 63.7 cm

Answer:

Measure of the major arc OQN = 292°

Step-by-step explanation:

Measure of the major arc OQN = 360° - m(arc ON)

By the definition of central angle subtended at the center by the arc,

Measure of arc ON = Central angle subtended by the arc

                                = 38°

Now measure of the major arc OQN = 360° - 38°

                                                            = 292°

Answer:

2 hours

Step-by-step explanation:

Sandy is 4 times faster than her brother.1/2 hour x 4 =2hours

Answer:

A) It is right

Step-by-step explanation:

∠A=∠C, because a 180° line (straight line) meats at a certain point reaching the edge, which then means that the angles of 'A' and 'C' have to be the same.

So ∠A= 45°, and ∠C= 45°.

45+45= 90

A triangle's angles add to 180°.

180-90=90

∴∠B=90°, making it a right-angled triangle.

Answer:

Step-by-step explanation:

Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that each day the snail carefully works its way 30 inches up the wall, while at night it slips back down 12 inches. Therefore, the net distance that snail covers is 18 inches.

The distance covered by the snail in 4 days from Monday to Friday morning is,

Distance = 4 days × 18 inches = 72 inches

Distance covered on Friday = 30 inches

Total distance covered = 72 inches + 30 inches = 102 inches

The total distance covered before you leave on Friday is 102 inches.

Further, the height of the wall is 9 feet, therefore, the snail needs to cover a distance of 108 inches (1 foot = 12 inches). Also, since the distance covered by a snail in 5 days is 90 inches, the total distance is 108 inches.

Hence, If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ2

Answer:

27) x = 2^(y) – 5.

Asymptote: x = -5.

D: x > -5; (-5, infinity).

R: -infinity < f(x) < infinity; ARN;

(-infinity, infinity).

x → -infinity, f(x) → -infinity.

x → +infinity, f(x) → +infinity.

________________________

28) x = 2^-(y–3).

Asymptote: x = 0.

D: x > 0; (0, infinity).

R: -infinity < f(x) < infinity; ARN;

(-infinity, infinity).

x → -infinity, f(x) → +infinity.

x → +infinity, f(x) → -infinity.

________________________

29) x = 4^(y–2) + 1.

Asymptote: x = 1.

D: x > 1; (1, infinity).

R: -infinity < f(x) < infinity; ARN;

(-infinity, infinity).

x → -infinity, f(x) → -infinity.

x → +infinity, f(x) → +infinity.

________________________

Answer:

That's hard wish you the best tho.

Step-by-step explanation:

Answer:

4.189 cubic inches

Answer:

4.19 in³

Step-by-step explanation:

The formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3} [/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {1}^{3} [/tex]

[tex] = \frac{12.56}{3} [/tex]

[tex] = 4.186666667...[/tex]

= 4.19 in³ (rounded to the nearest hundredth)

Answer:

Step-by-step explanation:

(x + 2)^2 + (y -1 )^2 = 3^2

(x + 2)^2 + (y -1)^2 = 9

I have used Desmos to draw this for you. Notice that the center is not (2, -1) but is at -2,1 just as the question requested. The signs are always reversed when the center of a circle must be obtained by squaring the numbers in parenthesis.

Further two points are shown. The one you should pay attention to is (-2,4) which is 3 units away from the center. The other point is also 3 units away, but you have to use the distance formula which you may not be familiar with. If you measure it with a ruler, you will find it is the same distance away from the center as (-2,4) is Since they are equal, they both must represent the length of the radius.

Answer:

f(x) = x^2 -12x + 85

reverse engineer this, like Prof. Sheldon Cooper figuring out Howard's card trick

x=6+or - 7i

x-6 = + or - 7i

square both sides

(x-6)^2 = -49

x^2 -12x + 36 = -49

x^2 -12 + 85