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2 years ago

What is the andwer???

Mathematics

1 answer:

djverab [1.8K]2 years ago

4 0

Answer:

3 and 11

Step-by-step explanation:

Given 2 sides with third side x , then

difference of 2 sides < x < sum of 2 sides , that is

7 - 4 < x < 7 + 4

3 < x < 11

Thus the possible values the third side cannot be are 3 and 11

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The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2885 and standard deviation

aliina [53]

Answer:

a. X~N(2,885, 651)

b. 0.086291

c. 0.00058

d. 3213.10 calories

Step-by-step explanation:

a. -A normal distribution is expressed in the form X~N(mean, standard deviation).

-Let X a random variable denoting the number of calories consumed.

-X is a is a normally distributed random variable with mean 2885 and standard deviation 651.

-This distribution is expressed as X~N(2,885, 651)

b. The probability that less than 2000 calories are consumed is calculated using the formula:

$P(X$

#substitute the given values in the formula to solve for P:

$P(X$

Hence, the probability of consuming less than 2000 calories is 0.08691

c. The proportion of customers consuming more than 5000 calories is calculated as:

$P(X>x)=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(Z>\frac{5000-2885}{651})\\\\=P(z>3.2488)\\\\=1-0.99942\\\\=0.00058$

Hence, the proportion of customers consuming over 5000 calories is 0.00058

d. The least amount of calories to get the award is calculated as:

1% is equivalent to a z value of 0.50399.

-We equate this to the formula to solve for the mean consumption:

$0.01=P(z>\frac{\bar X-\mu}{\sigma})\\\\=P(z>\frac{\bar X-2885}{651})\\\\\1\%=0.50399 \\\\\frac{\bar X-2885}{651}=0.50399 \\\\\bar X=0.50399\times 651+2885\\\\=3213.09$

Hence, the least amount of calories consumed to qualify for the award is 3213.10 calories.

8 0

3 years ago

For the polynomial shown below find f(1).<br><br><br>f(x)=3x^4-x^2+4x-2

Feliz [49]

Answer:

f(1)=4

Step-by-step explanation:

f(1)=3(1)^4-(1)^2+4(1)-2

f(1)=3(1)-1+4-2

f(1)=3-1+4-2

f(1)=4

6 0

3 years ago

Data from Previous Truck Head Gaskets

AlladinOne [14]

If we take a look at the data presented in the chart we can see the damage that the head gasket on truck suffers according to the ambient temperature. The correct answer is letter C) because there is a negative slope that is less than one and the y-intercept begins 14 units up the y-axis.

<span>I hope this helps, Regards.</span>

6 0

3 years ago

Read 2 more answers

Solve the system of eqautions <br> y=x2-5x+7 , y=2x+1

IgorC [24]

Answer:

Step-by-step explanation:

The system of equations is given as

y=x^2-5x+7 - - - - - - - - - - 1

y=2x+1 - - - - - - - - - - - - - - 2

We would equate equation 1 to equation 2, it becomes

x^2-5x+7 = 2x+1

x^2-5x+7- 2x - 1 = 0

x^2 - 5x - 2x + 7 - 1 = 0

x^2 - 7x + 6 = 0

We would use the factorization method of solving quadratic equations.

x^2 - 6x - x + 6 = 0

x(x - 6) - 1(x - 6)

(x - 6)(x - 1) = 0

x - 6 = 0 or x - 1 = 0

x = 6 or x = 1

Substituting both values of x into equation 2, it becomes

For x = 6,

y=2×6 + 1 = 12 + 1 = 13

y = 13

For x = 1,

y=2 × 1 +1 = 2 + 1 = 3

y = 3

3 0

2 years ago

The base of a triangular prism is a right triangle with a base of 6 inches, a height of 8 inches, and a third side length of 10

Vikentia [17]

The surface area of the rectangular prism with the dimensions that are stated is: 384 in.²

<h3>What is the Surface Area of a Triangular Prism?</h3>

Surface area = perimeter of base × height of prism + 2(base area)

= (s1 + s2 + s3)L + 2(1/2bh)

Given the following:

side of base (s1) = 6 in.
side of base (s2) = 8 in.
side of base (s3) = 10 in.
Length of prism (L) = 14 in.
Triangular base length (b) = 6 in.
h = 8 in.

Surface area = (6 + 8 + 10)14 + 2(1/2 × 6 × 8)

Surface area = 384 in.²

Learn more about the surface area of a rectangular prism on:

brainly.com/question/1310421

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5 0

2 years ago