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kvv77 [185]
3 years ago
12

A certain chalkboard manufacturer determines that their largest blackboard model has a mean length of 5.00 m and a standard devi

ation of 1.0 cm. A certain school district orders 1000 of these chalkboards. How many are likely to have lengths of under 4.98 m?
Mathematics
1 answer:
Igoryamba3 years ago
7 0

Answer:

23 chalkboards

Step-by-step explanation:

Given:

Mean length = 5 m

Standard deviation = 0.01

Number of units ordered = 1000

Now,

The z factor = \frac{\textup{x - Mean}}{\textup{standard deviation}}

or

The z factor = \frac{\textup{4.98 - 5}}{\textup{0.01}}

or

Z = - 2

Now, the Probability P( length < 4.98 )

Also, From z table the p-value = 0.0228

therefore,

P( length < 4.98 ) = 0.0228

Hence, out of 1000 chalkboard ordered (0.0228 × 1000) = 23 chalkboard are likely to have lengths of under 4.98 m.

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Umnica [9.8K]

Answer:

A.

Step-by-step explanation:

4 + 8 = 12 which is < 13.

3 0
3 years ago
Courtney receives a mailer to a local store. In the mailer, there are two coupons which cannot be combined. One coupon is for $2
STatiana [176]

Answer:

B, Courtney should use the 15% off coupon

8 0
3 years ago
Read 2 more answers
Jane is building eight 3-legged stools. Each leg is 1/2 yard long. She can cut the legs from wooden rods that are sold in 2-yard
jonny [76]

Answer:

n = 6\,rods

Step-by-step explanation:

The total of legs needed to build the stools are:

x = (8) \cdot (3)

x = 24

Likewise the total length of the legs is:

L_{tot} = 24\cdot (0.5\,yd)

L_{tot} = 12\,yd

Lastly, the quantity of rods that needed to buy is:

n = \frac{12\,yd}{2\,\frac{yd}{rod} }

n = 6\,rods

6 0
3 years ago
please just give me the answer is homework please help1)vertex 2)axis of symmetry 3)x-intercepts 4)maximum or minimum 5)max/min
aniked [119]

Answer:

See explanations below

Explanation:

Vertex of a graph is the lowest point on the curve. The vertex occurs at (1.75, -2.5)

The axis of symmetry is the point on the x axis of the line that cuts through the minimum point. The axis of symmetry occurs at x = 1.75

x intercept is the point where the curve cuts the x axis. The x intercept occurs at x = 0 and x = 2.5

To get the minimum, we will use the formula;

c - b^2/4a

The equation of the curve is expressed as;

(x-0)(x-2.5)

= x (x-2.5)

= x^2 - 2.5x

a = 1, b = -2.5, c = 0

minimum = 0 - (-2.5)^2/4(1)

minimum = -6.25/4

minimum = -1.5625

Minimum value occurs at the base of the parabola. The minimum value of the function is -2.5

y intercept is the point where the curve cuts the y axis. The y-intercept occurs at y = 0.

6 0
1 year ago
Please help i dont understand​
Greeley [361]

Given:

A quadrilateral inscribed in a circle.

To find:

The value of x and y.

Solution:

If a quadrilateral inscribed in a circle, then it is known as cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles, it means their sum is 180 degrees.

5x^\circ+110^\circ=180^\circ                     [Supplementary angles]

5x^\circ=180^\circ -110^\circ

x^\circ=\dfrac{70^\circ}{5}

x^\circ=14^\circ

The value of x is 14 degrees.

2y^\circ+104^\circ=180^\circ                     [Supplementary angles]

2y^\circ=180^\circ -104^\circ

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y^\circ=38^\circ

Therefore, the value of x is 14 degrees and the value of y is 38 degrees.

3 0
3 years ago
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