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3 years ago

Simplify (4x − 6) + (5x + 1

Mathematics

1 answer:

Taya2010 [7]3 years ago

7 0

Answer:

9x−5

Step-by-step explanation:

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The product of 2 and the sum of a number and 8 is equivalent to 16.

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Answer:b

Step-by-step explanation:

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Over the course of a day, you checked 250 total mousetraps and determined that 50 of them were perfectly made. Approximately wha

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3 years ago

Can the volume of a cone with the same size base as a cylinder ever have a bigger volume? Explain

Liono4ka [1.6K]

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No, because if a cone and a cylinder have bases with equal areas, and both have identical heights, then the volume of the cone is one-third the volume of the cylinder.

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3 years ago

A sample has a mean of M = 90 and a standard devia-tion of s 20.=a. Find the z-score for each of the following X values.X = 95X

sladkih [1.3K]

Answer:

$\begin{gathered} X=95,z=0.25 \\ X=80,z=-0.5 \\ X=98,z=0.4 \\ X=88,z=-0.1 \\ X=105,z=0.75 \\ X=76,z=-0.7 \end{gathered}$

Explanation:

Given a sample with the following:

• Mean,M = 90

• Standard deviation, s = 20

To find the z-score for each of the given X values, we use the formula below:

$\begin{equation*} z-score=\frac{X-\mu}{\sigma}\text{ where }\begin{cases}{X=Raw\;Score} \\ {\mu=mean} \\ {\sigma=Standard\;Deviation}\end{cases} \end{equation*}$

The z-scores are calculated below:

$\begin{gathered} \text{When X=95, }z=\frac{95-90}{20}=\frac{5}{20}=0.25 \\ \text{When X=80, }z=\frac{80-90}{20}=\frac{-10}{20}=-0.5 \\ \text{When X=98, }z=\frac{98-90}{20}=\frac{8}{20}=0.4 \end{gathered}$ $\begin{gathered} \text{When X=88,}z=\frac{88-90}{20}=\frac{-2}{20}=-0.1 \\ \text{When X=105, }z=\frac{105-90}{20}=\frac{15}{20}=0.75 \\ \text{When X=76, }z=\frac{76-90}{20}=\frac{-14}{20}=-0.7 \end{gathered}$

5 0

1 year ago

Mr. Baldwin is packing the shipping box with ring boxes that are cubes with an edge length of 3/2 inches. If he completely fills

Alinara [238K]

Answer:

10 ring boxes

Step-by-step explanation:

First, we need to calculate the total surface area of each cube ring boxes

The surface area of each square boxes = 6L²

Given that L =1.5inches

Total surface area = 6(1.5)²

Total surface area = 6(2.25)

Total surface area = 13.5in²

Since the question is incomplete. Let us assume the total surface area of the shipping box is 135in²

Number of ring boxes he can ship = 135/13.5

Number of ring boxes he can ship = 10

Hence the number of ring boxes he can ship is 10 ring boxes

NB: The total surface area of the shipping box was assumed

6 0

3 years ago