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2 years ago

I need these answers

Mathematics

1 answer:

postnew [5]2 years ago

8 0

Answer:

Volume of triangular prism = 126 cm³

Step-by-step explanation:

Given:

Base of side triangle = 6.3 cm

Height of triangular prism = 4 cm

Length of side = 10 cm

Find:

Volume of triangular prism

Computation:

Volume of triangular prism = Area of triangular cross section x Length of side

Volume of triangular prism = (1/2)(b)(h) x Length of side

Volume of triangular prism = (1/2)(6.3)(4) x 10

Volume of triangular prism = (6.3)(2) x 10

Volume of triangular prism = 12.6 x 10

Volume of triangular prism = 126 cm³

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A company sells cans of caviar that say they each contain 100g. of product with a standard deviation of 1g. A consumer advocacy

marin [14]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 100g

For the alternative hypothesis,

µ < 100g

Due to the <, It means that it is left tailed test.

Since the number of samples is large, the population standard deviation is given, the z test would be used. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 100g

x = 99 g

σ = 1g

n = 30

z = (99 - 100)/(1/√30) = - 5.48

Looking at the normal distribution table, the probability corresponding to the z score is less than 0.00001

P value < 0.00001

4 0

3 years ago

A candle shop sells scented candles for $16 each and unscented candles for $10 each. The shop sells 28 candles today and makes $

Rudiy27

<h3>The system of linear equations that represents the situation is:</h3>

a + b = 28

16a + 10b = 400

<h3>20 scented candles and 8 unscented candles were sold</h3>

Solution:

Let "a" be the number of scented candles sold

Let "b" be the number of unscented candles sold

From given,

Cost of 1 scented candles = $ 16

Cost of 1 unscented candles = $ 10

The shop sells 28 candles today

Therefore,

a + b = 28

b = 28 - a ------- eqn 1

The shop sells 28 candles today and makes $400

Therefore,

number of scented candles sold x Cost of 1 scented candle + number of unscented candles sold x Cost of 1 unscented candles = 400

$a \times 16 + b \times 10 = 400$

16a + 10b = 400 ------ eqn 2

Substitute eqn 1 in eqn 2

16a + 10(28 - a) = 400

16a + 280 - 10a = 400

6a = 400 - 280

6a = 120

a = 20

Substitute a = 20 in eqn 1

b = 28 - 20

b = 8

Thus 20 scented candles and 8 unscented candles were sold

7 0

3 years ago

Worth 60 points

alex41 [277]

Answer:

Line y = -x + 2 intersects line y = 3x + 1

Step-by-step explanation:

The solution to a system of equations is the point at which the two lines intersect. To find this point, first equate the equations and solve for x:

$\begin{aligned}y & = y\\-x + 2 & = 3x + 1\\-x+2+x & = 3x+1+x\\2 & = 4x + 1\\2-1 & =4x+1-1\\1 &=4x\\x & =\dfrac14\end{aligned}$

Substitute the found value of x into one of the equations, and solve for y:

$y=3\left(\dfrac14\right)+1=\dfrac74$

Therefore, the solution to the system of equations (the point at which the two lines intersect) is:

$\left(\dfrac14,\dfrac74\right)$

So the description that best describes the solution to the system of equations is:

Line y = -x + 2 intersects line y = 3x + 1

3 0

2 years ago

Please answer asap, i need to turn it in by the end of the day.

ivolga24 [154]

B is correct
........

3 0

3 years ago

Jake and mike took a different number of tests. jake scored 85 points on each test. mike's total score was 15 less than jakes to

Daniel [21]

I am to believe that his score was 70.

since mike scored 15 less than 85 i had suspected it was 70

6 0

3 years ago