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Trava [24]
3 years ago
11

The strength of a chemical paste product delivered in casks is known to follow a normal distribution with a mean of 59 and a sta

ndard deviation of 3.4. Find the mean strength needed for the casks such that the probability that the cask strength is below 56 is less than 5%.
Mathematics
1 answer:
baherus [9]3 years ago
6 0
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Help this has to be don today or my grade on it will be a 60
mariarad [96]

Answer:

\frac{5}{13}

Step-by-step explanation:

If you have the same denominator, you can just subtract the numerators normally and carry over the denominator.

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2 years ago
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Select the correct answer. Rectangle ABCD is dilated by a scale factor of 2 with the origin as the center of dilation, resulting
Natalija [7]
So I have a illustration
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3 years ago
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Is sin(x) even or odd ? prove with examples ?
zloy xaker [14]

Answer:

\text{sin}(x) is an odd function.

Step-by-step explanation:

We are asked to prove whether \text{sin}(x) is even or odd.

We know that a function f(x) is even if f(x)=f(-x) and a function f(x) is odd, when f(-x)=-f(x).

We also know that an even function is symmetric with respect to y-axis and an odd function is symmetric about the origin.

Upon looking at our attachment, we can see that \text{sin}(x) is symmetric with respect to origin, therefore, \text{sin}(x) is an odd function.

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3 years ago
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Connected to the question before this
lesya [120]

Answer:

(4)Angle A is 63°

Step-by-step explanation:

To find angle A here is what you have to do

(1) triangle A is an Isosceles triangle which has two of its angles being equal.

(2) To find A we hv to look for the interior angles of the triangle. If u look carefully there is this angle outside the triangle .we can use a property called "Angles on a straight line

(3) " Angles on a straight line sum up to 180°" When u do that ur equation will look like this

126+(x)=180°. u may be wondering hw did we get the x?? well i named the angle we dont know with any valuable like T,F etc .when u group like terms ur equation should look like this (x)=180°-126°

if u subtract ur answer should be x=63°

(B) if u look closely u will see there are two triangles. The one to the far right is an Isosceles triangle why because there is this double stroke indicating it is an Isosceles triangle. Remember an Isosceles triangle has its bases being equal. so the the triangle has two angles of 30°. so If we want to find B we first have to find the interior angles of the Isosceles triangle . so our epuarion will be like this 30°+30°+(X)=180°

U group like terms so it will look like this x=180°-60° so,

x= 120°

So now T=120°

Now to find B

we write the equation like this T+(W)=180°

we put the value of T into the Equation w=180°-120 the answer is 60°

So to find B we find the interior angles of the triangle and the interior angles of the Isosceles triangle sum up to 180. so it will look like this B+90+60=180

Nb they should be in Degrees

finally u group like terms. ur equation should look like this B=180-150

ur answer should be B=30°

7 0
4 years ago
Carlo and Helen spend the same amount of money on art supplies. Carlo buys 4 glue sticks and spends $3 on glitter. Helen buys 2
Veseljchak [2.6K]

<u>Answer:4.75</u>

<u>Since we don't have a total cost we will write an equation that will allow us to find the cost of x. The equation is 4x= 2x + $3 + $3.75 + $2.75. Now that we have our equation we are going to start by adding 3, 3.75, and 2.75. When added together, they come out with a total of 9.5. Now the equation becomes 4x= 2x + $9.50. Since we have our new equation we are going to subtract 2x from both sides of the equation. We now have the equation 2x= $9.50. Finally, you will divide both sides by 2. This leaves us with the final outcome x= $4.75. This means that one glues stick cost $4.75. Let's check by substituting $4.75 as the value of x in the expressions 4x is Carlo's total and 2x + $3 + $3.75 + $2.75 is Helen's total. First we do 4x, 4 multiplied by 4.75 equals 19, so Carlo spent $19 on art supplies. Now we do 2x + $3 + $3.75 + $2.75, which is 9.5 added to 9.5 and equals 19. So Helen spent $19 on art supplies. This proves that the cost of one glue stick, x, is equal $4.75.</u>

<u></u>

<u></u>

4 0
3 years ago
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