use the distributive property:
(x-5)(-2)

Using the z-distribution, it is found that the 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

We are given the standard deviation for the population, which is why the z-distribution is used to solve this question.

The information given is:

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

The critical value, using a z-distribution calculator, for a 95% confidence interval is z = 1.645, hence:

[tex]\overline{x} - z\frac{\sigma}{\sqrt{n}} = 146 - 1.645\frac{12}{\sqrt{35}} = 143[/tex]

[tex]\overline{x} + z\frac{\sigma}{\sqrt{n}} = 146 + 1.645\frac{12}{\sqrt{35}} = 149[/tex]

The 90% confidence interval for mean calories in a 30-gram serving of all chocolate chip cookies is (143, 149).

A similar problem is given at https://brainly.com/question/16807970

Answer:37.48

Step-by-step explanation:

Answer:

$60

Step-by-step explanation:

4/100= 0.04

$1500 x 0.04 = 60

Answer:

$288

Step-by-step explanation:

.04 * 7,200= 288

Commission multiplied by Stocks sold= Answer

Hope this helps :)

Answer: Mr. Smith makes 14,400, Mr. Kelly makes 9,600

Step-by-step explanation: First add the ratio together. 3+2=5.

Then divide 24,000 into five parts, 24,000/5 = 4,800.

After getting 4,800, multiply 4,800 by 3 to get Mr. Smith's portion of the money received. 4,800 x 3 = 14,000.

And you can do the same for Mr. Kelly but use 2 instead of a 3.

4,800 x 2 = 9,600

To check your work you can add the two answers together

9,600 + 14,400 = 24,000.

Answer:

38.192

Step-by-step explanation:

34.72x(1+0.1)=38.192

Step-by-step explanation:

the nth term is n-4, so the 10th term (that means n = 10) is then 10-4 = 6

n-4 is the rule of the sequence.

Simply replace "n" with a number and solve your equation.

For example, if you are finding the 5th term, you do it like this:

= n - 4

= (5) - 4

= 1

Now, as you asked, the tenth term:

= n - 4

= (10) - 4

= 6

I think the answer would be "X=1"

(Sorry if I'm wrong)

Answer:

1.) 1 1/3

2.) 6/7

Step-by-step explanation:

1.) 16/12 = 4/3 = 1 1/3

2.) Add the numerators if the denominators are the same already

Answer:

1. 1 1/3

2. 6/7

3. 1 1/4

Step-by-step explanation:

For the first one, the question is to reduce 16/12. So we need to see how many 12's there are in 16 --> 1. Because 16 - ( 12 · 1 ) = 4. We can't fit another 16 in four! Therefore the answer is 1 4/12 because the remainder that we solved above is 4. It can be simplified to 1 1/3.

5/7 + 1/7 is 6/7 because the denominator of the fractions are the same all you have to do is add the numerators together and leave the denominator 7:

5         1          6

----- + ------  = -------

 7       7           7

To reduce 25/20 all you have to do is see how many 25's are in 20. Which is 1. 25 - ( 20 · 1 ) = 5. But there is still 5 left over so it would be: 1 5/20. Which can be simplified as 1 1/4

HOPE THIS HELPS :)

Answer:

-5;-7

Step-by-step explanation:

Start with the product. 35 is either 35x1, 7x5, or the product of their opposites. 35 and 1 doesn't work for the sum, neither does 7 and 5. Let's go negative. -35 and -1 gives -36, so it has to be -7 and -5, which is indeed, correct.

Answer:

more info so i can help

Step-by-step explanation:

please

Answer:  The answer is 284.

Step-by-step explanation:

The area of the garden is an annulus whose,  

Outer diameter = 18 ft  

Inner diameter = 18 ft - 2*3ft = 12 ft

Therefore,  

Outer radius = 18/2 = 9 ft  

Inner radius = 12/2 = 6 ft  

 Area of garden = Area of annulus  

 Area of garden = π*(9 ft)2 - π * (6 ft)2

 Area of garden = 142  

 Given:  

2 flowers are planted per square foot.  

 Therefore for 142 ft2,  

Number of flowers required = 2*142 = 284  

 The answer is 284.

Step-by-step explanation:

An equilateral triangle means all sides are congruent.

AB≅BC≅AC

All angles are also congruent.

∠ABC≅∠BCA≅∠CAB

AD being perpendicular makes it a bisector of both BC and ∠CAB.

BD≅CD

∠BAD≅∠CAD

Now, there are multiple ways to prove that ΔADB≅ΔADC. All 3 sides and all 3 angles of both triangles are congruent, so you could do it however you want.

1) ASA (one of the possible ASA combinations)

2) HL (again, one of the multiple possible HL combinations)

There are many more but I won't write them all out.

Answer:

2

Step-by-step explanation:

y=-3x+6

Answer:

length=10inches

width=18inches

Step-by-step explanation:

length=x

width=x+8

perimeter=2l+2b

56=2x+2(x+8)

56=2x+2x+16

56-16=4x

4x=40

x=40/4

x=10

Answer:

[tex]x=\pm\sqrt{y+64}[/tex]

Step-by-step explanation:

All you need to do is isolate the x.

First, add 64 to both sides:

[tex]y=x^2-64\\x^2-64+64=y+64\\x^2=y+64[/tex]

Then, take the square root of both sides:

[tex]\sqrt{x^2}=\sqrt{y+64}\\x=\sqrt{y+64[/tex]

Actually, that is:

[tex]x=\pm\sqrt{y+64}[/tex]

Here's the reason for that. An example would be:

[tex]x^2=4[/tex]

Here, you'd take the square root of both sides to solve for x.

[tex]\sqrt{x^2}=\sqrt{4}\\x=2[/tex]

Right? But X could also be a -2, because a negative times a negative is a positive.

[tex](-2)^2=4\\-2\times-2=4\\4=4[/tex]

Therefore, [tex]x=2, -2[/tex] or [tex]x=\pm2[/tex]

[tex]x^2=2\times2=4\\x^2=-2\times-2=4[/tex]

Answer:

4:5

Step-by-step explanation:

I don't see the table but since it is 4 out of every 5 stickers are purple, the ratio would be 4:5, 4/5, or 4 to 5. It doesn't really matter, because all of these mean the same thing.

Tell me if I'm wrong :)

Answer:

y=-3x+5

Step-by-step explanation:

y=mx+b

m=slope or gradient (=-3)

y=-3x+b  

Add your points

(2, -1)

-1=(-3 x 2)+b

-1= -6+b

-1+6=b

b=5

y=-3x+5

Answer:

[tex]\boxed {\boxed {\sf y= -3x+5}}[/tex]

Step-by-step explanation:

We are asked to find the equation of the line that passes through the point (2, -1) and has a slope of -3.

We are given a point and the slope, so we can use the point-slope formula.

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

In this formula, m is the slope and (x₁, y₁) is the point the line passes through.

The line has a slope of -3 and passes through (2, -1).

Substitute the values into the formula.

[tex]y--1= -3 (x-2)[/tex]

[tex]y+1= -3 (x-2)[/tex]

Distribute the -3 on the right side. Multiply each term inside the parentheses by -3.

[tex]y+1 = (-3*x) + (-3*-2)[/tex]

[tex]y+1=(-3x) + (6)[/tex]

[tex]y+1=-3x+6[/tex]

Subtract 1 from both sides of the equation to isolate the variable y.

[tex]y+1-1=-3x+6-1[/tex]

[tex]y=-3x +5[/tex]

The equation of the line is y= -3x+5.

Answer:

it's 86

Step-by-step explanation:

100-3x6+5-4

100-15+5-4

85+5-4

90-4

86

Answer/Step-by-step explanation:

To Find the best price divided each

Kroger → 1.52/4=0.38

Publix → 175/5=35

Ingles → 1.02/3=0.34

Walmart → 2.46/6=0.41

Base on the data we can tell that Ingles have the best price.

Answer:

1

Step-by-step explanation:

= 21/21

= 1

Answer:

90

Step-by-step explanation:

let the number to be found be x then

23 [tex]\frac{1}{3}[/tex] % of x = 21  ( change mixed number to improper fraction )

[tex]\frac{\frac{70}{3} }{100}[/tex] x = 21

[tex]\frac{70}{300}[/tex] x = 21 ( multiply both sides by 300 to clear the fraction )

70x = 6300 ( divide both sides by 70 )

x = 90

Then 23 [tex]\frac{1}{3}[/tex] % 0f 90 = 21

Answer:

21.50 + 0.25r = 22.25

Step-by-step explanation:

Thats ur equationnn

Answer:

48 miles/hour

Step-by-step explanation:

(336 miles)/(7 hours) = 48 miles/hour

Answer:

the average speed is 336 devided by 7 then you get the answer

One hundred and four point zero zero three two.

- BRAINLIEST answerer

Answer:

C.one hundred four and thirty two thousandth

Answer:

50% of Her Original goal

Step-by-step explanation:

Hello!

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19x+5+16x=180

First, add the x's together:

35x+5=180

Now, subtract 5 from both sides:

35x=180-5

35x=175

Divide both sides by 35 to isolate x:

x=5

Hope you find my answer helpful! Please give the crown if you do! (:

~SparklingFlower

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