The line, L1 passes through the points A (-3,-2) and B (3,-8) Find the gradient of L1.​

Answer:

attached

Step-by-step explanation:

Answer:

Turning point coordinates: (1,4)

Roots: -1, 3

y = - (x - 1)^2 + 4

Step-by-step explanation:

Answer:

try b or c hop this help have a good day

Answer:

D

Step-by-step explanation:

the answer is D.. nothing to say step by step

Answer:

308

Step-by-step explanation:

144+108+56=308

Answer:

6.5%

Step-by-step explanation:

15.95+10.95+17.10 = 44

46.86-44 = 2.86

2.86/44 = 0.065

0.065 = 6.5%

Using the normal distribution and the central limit theorem, it is found that there is a:

a) 0.2266 = 22.66% probability that the sample mean is greater than 63.

b) 0.1587 = 15.87% probability that the sample mean is less than 56.

c) 0.6147 = 61.47% probability that the sample mean is between 56 and 63.

In a normal distribution 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]

In this problem:

Item a:

This probability is 1 subtracted by the p-value of Z when X = 63, so:

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

By the Central Limit Theorem

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

[tex]Z = \frac{63 - 60}{4}[/tex]

[tex]Z = 0.75[/tex]

[tex]Z = 0.75[/tex] has a p-value of 0.7734.

1 - 0.7734 = 0.2266

0.2266 = 22.66% probability that the sample mean is greater than 63.

Item b:

This probability is the p-value of Z when X = 56, so:

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

[tex]Z = \frac{56 - 60}{4}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

0.1587 = 15.87% probability that the sample mean is less than 56.

Item c:

This probability is the p-value of Z when X = 63 subtracted by the p-value of Z when X = 56.

These p-values were found in the previous items, so:

0.7734 - 0.1587 = 0.6147

0.6147 = 61.47% probability that the sample mean is between 56 and 63.

A similar problem is given at https://brainly.com/question/24663213

Answer:

9)x=-4

10)x=5

11)x=4

12)x=-9

13)x=-8

14)x=-3

Step-by-step explanation:

A triangle is 180º total so just add the numbers togeather and make an equation where they x+#s=180.

Answer:

x = 110°

Step-by-step explanation:

The sum of the interior angles in a quadrilateral is 360°. This means:

x + x + x - 30 + 1/2x + 5 = 360° - we can simplify this

3 1/2x - 25 = 360° - now add 25 to both sides

3 1/2x = 385 - finally divide both sides by 3 1/2

x = 385 ÷ 3.5 = 110

x = 110°

Hope this helps!

Answer:

14.6cm

Step-by-step explanation:

The volume of a hemisphere is 2/3 × π × r³ → 6496 = 2/3 × π × r³. You can divide both sides by 2/3π to get r³ on its own → 3103.611531 = r³. To find r, cube root both sides → r = ∛3103.611531 = 14.5835... ≈ 14.6cm.

Hope this helps!

The radius of a hemisphere with a volume of 6496 is 14.5 cm

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The volume of a hemisphere is given by the formula V = (2/3)πrr³.

Since we are given the volume of the hemisphere, we can solve for the radius as follows:

V = (2/3)πr³

6496 = (2/3)πr³

Multiplying both sides by 3/2π, we get:

r³ = 6496 × (3/2π)

=6496×3/2×3.14

=19488/6.28

=3103.1

=∛3103.1

radius=14.5

Hence,  the radius of a hemisphere with a volume of 6496 is 14.5 cm

To learn more on Three dimensional figure click:

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Answer:

21 ounces of flour

Step-by-step explanation:

10/3 = 70/x

isolate the so that it is on the top, so multiply by x on the right and on the left

this gives you:

x*10/3=70

try to isolate x and multiply by 3 to get rid of the denominator

x*10=70*3

x*10= 210

finally isolate x by dividing by 10 and getting rid of the 10 multiplying with it

x= 210/10

x=21

you need 21 ounces of flour if you have 70 ounces of sugar you can double check by making sure the ratio of 10/3 is equal to 70/21 and of course they both equal 3.33 repeating, therefore your answer is correct Hope that helps

Answer:

You would need 21 ounces of flour

Step-by-step explanation:

sugar:flour

10:3

10x7=70

70:?

3x7=21

70:21

Using the hypergeometric distribution, it is found that there is a 0.0316 = 3.16% probability that both Rose and Liz will be  selected.

Hypergeometric distribution:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that both are selected is P(X = 2), hence:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 2) = h(2,20,4,2) = \frac{C_{2,2}C_{18,2}}{C_{20,4}} = 0.0316[/tex]

0.0316 = 3.16% probability that both Rose and Liz will be  selected.

A similar problem is given at https://brainly.com/question/24826394

Answer:

Step-by-step explanation:

The ratio of height to shadow length will be proportional.

2.6 / 1.26 = h / 37.25

h = 37.25(2.6)/1.26 = 76.865079...

h = 76.9 m

Answer:

25/2

Step-by-step explanation:

5/6 x 15=12.5

12.5 in simplest form is 25/2

i thing the answer is D the last chart

9514 1404 393

Answer:

Step-by-step explanation:

To find the cube root, divide all of the exponents by 3. For a cube root, the sign is unchanged.

A) ∛(-27/64a^9b^6) = -∛(3^3/4^3·a^9·b^6) = -3/4a^3b^2

__

B) 9.6×10^-8 ÷ (3×10^-7) = (9.6/3)×10^(-8-(-7)) = 3.2×10^-1

__

C) ∛(-0.001a^(3n+3)) = -∛(0.1^3·a^(3n+3)) = -0.1a^(n+1)

for every completed length of audiobook, Zhen spends 6.5 hours working.

C.Zhen spends 6 1/2 hours working per audiobook

Answer:

The answer is A

Step-by-step explanation:

A is equal to the amount of students that were absent.

Based on the cost of the adult tickets and the children's ticket, the expression that can find the amount raised is 8x + 3y.

Also if those number of tickets were sold, the amount realized would be $3,054.

The total amount raised can be found as:

= (Number of adult tickets x price of adult tickets) + (Number of children's tickets x price of children's tickets)

Assuming the adult tickets are x and the children's tickets are y, the equation would be:

= (x × 8) + (y × 3)

= 8x + 3y

If 240 adult tickets and 378 children's tickets are sold, the amount realized would be:

= 8x + 3y

= (8 x 240) + (3 x 378)

= $3,054

In conclusion, the relevant expression is 8x + 3y and the amount raised would be $3,054.

Find out more at https://brainly.com/question/7268387.

Answer:

15/2

Step-by-step explanation:

Answer:

[tex]\displaystyle y = -\frac{2}{3} x + \frac{34}{3} \text{ or } 2x + 3y =34[/tex]

Step-by-step explanation:

We want to find the equation of a line that contains the point (5, 8) and is parallel to the graph of:

[tex]\displaystyle 2x + 3y = 9[/tex]

Recall that parallel lines have equal slopes.

Find the slope of the given graph by rewriting it in slope-intercept form:

[tex]\displaystyle \begin{aligned} 2x + 3y & = 9 \\ \\ 3y & = -2x + 9 \\ \\ y & = -\frac{2}{3} x + 3 \end{aligned}[/tex]

Hence, the slope of the given graph is -2/3. Therefore, the slope of our new line must also be -2/3.

Since we now have a slope and a point, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x-x_1)[/tex]

Substitution yields:

[tex]\displaystyle y - (8) = -\frac{2}{3}(x -( 5))[/tex]

We can simplify this into slope-intercept form:

[tex]\displaystyle \begin{aligned} y - 8 & = -\frac{2}{3} x + \frac{10}{3} \\ \\ y & = -\frac{2}{3} x + \frac{34}{3}\end{aligned}[/tex]

Or, into standard form:

[tex]\displaystyle \begin{aligned} y & = -\frac{2}{3}x + \frac{34}{3} \\ \\ 3y & = -2x + 34 \\ \\ 2x + 3y & = 34 \end{aligned}[/tex]

Answer:

Undefined

Step-by-step explanation:

the equation for slope is y2-y1/x2-x1

(-2-6)/(-7-(7))= -8/0

This would leave you with an undefined slope.

Answer:

$395.55

Step-by-step explanation:

45%+10%=55%

100%-55%=45%

Since 45% is 45/100 in fractions, use that x 879 for the final price.

45/100x879=395.55

Hope this helps! Thanks.

Answer:

435.11

Step-by-step explanation:

First find the sale price of the computer. Then take the additional 10% off of the sale price.

Answer:

Granny is correct

Step-by-step explanation:

Hope it helps

Answer:

give me 1 min ill answer it

Step-by-step explanation:

Answer:

$5 + 4x = 25

Step-by-step explanation:

let x = eraser

4 × x = 4x

$5 + 4x = $25

Answer:

z = 72

Step-by-step explanation:

-1/4z + 12 = -6

× 4

-z + 48 = - 24

-z = - 72

z = 72

Answer:

Step-by-step explanation:

Your answer is A.

Anytime you have a variable or something that changes such as the month that is a variable so that means its going to be your x/m in this case

Ratio = 2 : 5

Numbers = 2x & 5x

[tex]2x + 5x = 21 \\ 7x = 21 \\ x = 21 \div 7 \\ x = 3[/tex]

Numbers :-

2x = 2 × 3 = 6

5x = 5 × 3 = 15.

The numbers are 6 & 15.