10. Simplify x + 6 - 3x – 8.

Answer:

The 95​% confidence interval for the mean birth weight of all ​non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 41 - 1 = 40

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 40 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0211

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.0211\frac{494.2}{\sqrt{41}} = 156[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 3506.4 - 156 = 3350.4 grams

The upper end of the interval is the sample mean added to M. So it is 3506.4 + 156 = 3662.4 grams

The 95​% confidence interval for the mean birth weight of all ​non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.

Answer:

X=58 degrees

Step-by-step explanation:

So We can start by finding the angle thats supplementary to 109.

Well 109 and another unknown angle (which will be Y for this scenario) would form a straight line which is 180 degrees.

109+y=180

Solve that by isolating the y and you would get 71 as the missing side.

Now we have 2 sides, 71 and 51. We’re trying to find x or the angle vertical to the thrid interior angle of the triangle.

Vertical is basically equal so we really just gotta find the third side. A triangle is equal to 180 degrees and if you add em up.

71+51+x=180

Combine like terms

122+x=180

Isolate the X

x=58

So x is 58 degrees.

Answer:

x = 180 - 51 - 71 = 58°

Answer:

y=2√3, or 3.46410161513

Step-by-step explanation:

The smaller triangle is a right isosceles triangle, so the other side is also √2. To figure out it’s hypotenuse, you can use the Pythagorean theorem.

√2²+√2²=c²

2+2=c²

4=c²

√4=c

c=2

Now that we know that value, we can look at the bigger triangle.  It is a 30-60-90 triangle, which has special properties.

Y would equal the two of the base times the square root of three.

y=2√3, or 3.46410161513

The value of the y is 2√3 if the value of hypotenuse in the triangle with 60-degree angles is 2

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

From the sin ratio in the triangle with angle 45 degree

Sin45 = √2/x

x = 2

From the triangle with angle 60 degree

y/2 = tan60

y = 2√3

Thus, the value of the y is 2√3 if the value of hypotenuse in the triangle with 60-degree angles is 2

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Answer: 20ft

Step-by-step explanation:

floor space is only worried about the area of the base, so A would be 4*5 or 20

Answer:

20

Step-by-step explanation:

Answer:

-4, -3, 0, 2

Step-by-step explanation:

Answer:

-4,-3,0,2 :p ...........

Answer:

0

200

100

50

150

Step-by-step explanation:

0% of 200 = 0

100% of 200

= ( 100 / 100 ) x 200

= 1 x 200

= 200

50% of 200

= ( 100% of 200 ) / 2

= 200 / 2

= 100

25% of 200

= ( 50% of 200 ) / 2

= 100 / 2

= 50

75% of 200

= ( 75 / 100 ) x 200

= ( 75 x 200 ) / 100

= 75 x 2

= 150

Answer:

Wait what

Step-by-step explanation:

Answer:

Hi! The answer to your question is Rectangle

Step-by-step explanation:

↗✧*☆*: .｡..｡.:*☆♪↗✧*☆*: .｡..｡.:*☆♪

☆Brainliest is greatly appreciated!☆

Hope this helps!!

Stay Safe!!!

- Brooklynn Deka

Answer:

a fraction is a numerical quantity that is not a while number; aswell as a small ot tiny part, amount, or proportion of something. fractions represent equal parts of a whole or a collection. example of a fraction: 1/4, 1/2, 1/25, ect.

Answer:

0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set 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]

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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that the heights of men are normally distributed with a mean of "71.3" inches and a standard deviation of 2.1 inches.

This means that [tex]\mu = 71.3, \sigma = 2.1[/tex]

Sample of 36:

This means that [tex]n = 36, s = \frac{2.1}{\sqrt{36}} = 0.35[/tex]

Find the probability that they have a mean height greater than 72.3 inches.

This is 1 subtracted by the pvalue of Z when X = 72.3. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{72.3 - 71.3}{0.35}[/tex]

[tex]Z = 2.86[/tex]

[tex]Z = 2.86[/tex] has a pvalue of 0.9979

1 - 0.9979 = 0.0021

0.0021 = 0.21% probability that they have a mean height greater than 72.3 inches.

Answer:

Eduardo collected 0.875 pounds can

Step-by-step explanation:

have a nice day dear

Answer:

ITS X=14 GURL TRUST

Step-by-step explanation:

Answer:

150°

Step-by-step explanation:

Consider OACB,

Here <CAO =<CBO= 90° ( As they are tangents)

<ACB= 30°

Now, <CAO +<CBO+<ACB+x= 360°

90°+90°+30°+x= 360°

x= 150°

Hope it helps

Answer:

150°

Step-by-step explanation:

Construct a line OC, and consider the resulting triangles ΔOAC.

<AOB=(1/2)x

<CAO=90

<ACO=30/2=15

Angles in a triangle add to 180, so

90+15+(x/2)=180

x/2=75

x=150°

Answer:

2-6

Step-by-step explanation:

5 673226

Answer:

x = 180° - 72° = 108°

Because x and 72 degrees are supplementary angles.

Look at the attached screenshot for my answer!!! Hope this helps!! Have a wonderful life now!!!

The requreid equation that can be used to calculate the length of the base and height of the triangular face of the box is:

8y ≈ 8.4 cm

5y ≈ 5.8 cm

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

The formula for the volume of a square pyramid is:

V = (1/3) * base area * height

In this case, the base of the pyramid is a square with a side length of 8y, so the base area is:

base area = (8y)² = 64y²

The height of each triangular face is given as 5y, so the total height of the pyramid is 2 * 5y = 10y.

Substituting these values into the formula for volume, we get:

1000 = (1/3) * 64y² * 10y

y ≈ 1.16

Therefore, the length of the base of the pyramid is:

8y ≈ 8.4

And the height of each triangular face is:

5y ≈ 5.8 cm

So the equation that can be used to calculate the length of the base and height of the triangular face of the box is:

8y ≈ 8.4 cm

5y ≈ 5.8 cm

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Answer:She has to pay $20078.7 amount.

Step-by-step explanation:

Given : Beth owes 17,000 on her car loan. The interest rate on her loan is 4.25% She will be paying this loan off for 4 years.

To find : How much will she pay altogether?

Solution :

Using compound interest formula,

A = P(1 + r)

Where A is the amount

P is the principle P=17,000

P is the rate r=4.25%=0.0425

t is the time t= 4 years

Substitute the value,

Therefore, She has to pay $20078.7 amount.  

Answer:

-2. 0. 3. 4

Step-by-step explanation:

counterexample are the opposite so ur gonna chose the false ones the number has to be less than 7 so -2 0 3 4

Answer:

Scientific notation is a way of writing very large and very small numbers.

A number in scientific notation has the form  

N

×

10

a

, where  

N

is a number between 1 and 10, and  

a

is a positive or negative integer.

To convert to scientific notation, you move the decimal point until the new form is a number between 1 and 10 (

N

) and then record the exponent (

a

) as the number of places the decimal point was moved.

If you move the decimal to the right, the exponent is negative.

Express  

0.000 000 03 g

in scientific notation.

Step 1. Move the decimal place to the right to create a new number between 1 and 10.

This gives  

N

=

3

.

Step 2. Count the number of times you moved the decimal.

You moved the decimal 8 places to the right.

That means the exponent  

a

=

-8

.

Step 3. Write the number in scientific notation.

0.000 000 03 g

=

3

×

10

-8

l

g

Step-by-step explanation:

Answer: 2

600/3 = 200 meaning that each gallon of paint covers 200 sq ft

Answer:

40

Step-by-step explanation:

It tells you what Q, R is for the opening. That means that it is 40

The measure of angle PQR is 70 degrees

We have a right triangle - r is 90 degrees

based on geometric rules: angle RPQ = 20    

 40 : 2

90 + 20 = 110

110 + x = 180

What is the perimeter of the triangle?

The perimeter of the triangle is 180 degrees

The triangle has 180 degrees.

This means that 180 - 110 =70 degrees.

The measure of angle PQR is 70 degrees.

Answer:

26 degrees :)

Step-by-step explanation:

Answer:

111 red balls

Step-by-step explanation:

125×0.03= 3.75 3balls

125×0.09=11.25 11balls

125-3-11=111

111 is red

Answer:

the third one

Step-by-step explanation:

it is a line that keeps continuing that way

Answer:

11+k=29

Step-by-step explanation:

So "more than" means addition.

let's solve this for fun

11 + k =29

k = 29-11

k= 18

Answer:

2

Step-by-step explanation:

A=[tex]\pi[/tex]r²

(19/6)[tex]\pi[/tex]=(285/360)[tex]\pi[/tex]r²

Divide both sides by pi, and they cancel out.

x is the radius, so replace r with x.

19/6=285/360x²

19/6÷285/360=x²

(19/6)·(360/285)=x²

4=x²

√4=x

2=x

Answer:

The answer is no 1:

[tex]3x ^{2} + 23x + 14[/tex]