I really need help on this one

HELPPP ASAPP Bernie's Bars has determined that a granola bar measuring 3 inches long has a z-score of +1 and a granola bar measu

Len [333]

Answer:

Standard deviation of the length of granola bars produced at Bernie's Bars is 0.50

Step-by-step explanation:

We are given the following information in the question:

Formula:

$z_{score} = \displaystyle\frac{x - \mu}{\sigma}$

where,

μ is the mean and σ is the standard deviation.

Putting the values we get:

$\displaystyle\frac{ 3- \mu}{\sigma} = 1\\\\3 = \sigma + \mu\\\\\displaystyle\frac{ 3.5- \mu}{\sigma} = 2\\\\3.5 = 2\sigma + \mu$

Solving the two obtained equations:

Subtracting the two obtained equation, we have:

$3.5-3 = \mu + 2\sigma - \mu -\sigma\\\sigma = 0.5$

Hence, standard deviation of the length of granola bars produced at Bernie's Bars is 0.50

3 0

3 years ago

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-3(2y+4) is greater that equal to 12-4y<br>

ipn [44]

Answer:

y is less than or equal to -12

y<=-12

Step-by-step explanation:

5 0

3 years ago

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Please help, will give brainliest to correct answer!

Papessa [141]

The answer is 7/9.Hope it helps

3 0

3 years ago

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The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

5 0

3 years ago

The cost of 8 muffins and 2 quarts of mil is $18. The cost of 3 muffins and 1 quart of milk is $7.50 hos much does 1 muffin and

emmasim [6.3K]

Answer:

The cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .

Step-by-step explanation:

Let us assume that the cost of one muffins be x.

Let us assume that the cost of one 1 quarts of milk be y.

As given

The cost of 8 muffins and 2 quarts of mil is $18.

Than the equation becomes

8x + 2y = 18

As given

The cost of 3 muffins and 1 quart of milk is $7.50.

Than the equation becomes

3x + 1y = 7.50

Two equations are

8x + 2y = 18 and 3x + 1y = 7.50

Multiply 3x + 1y = 7.50 by 2 and subtracted from 8x + 2y = 18 .

Thus

8x - 6x + 2y - 2y = 18 - 15

2x = 3

$x = \frac{3}{2}$

x = 1.5

Put x = 1.5 in 3x + 1y = 7.50

3 × 1.5 + y = 7.50

y = 7.50 - 4.5

y = 3

Therefore the cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .

3 0

3 years ago