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3 years ago

Name two integers whose product is negative.

1 answer:

3 0

You know that one integer is a negative integer, as the product is negative- and if the sum is zero, then the absolute value of the two integers are equal. Thus, the integers are +/- sqrt(36). or +/- 6.

Example: 6 and -6

Your welcome.

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Isabel stacked two wooden blocks as shown. What is the total volume of the stacked blocks?

Kobotan [32]

9514 1404 393

Answer:

156 cm³

Step-by-step explanation:

The volume of any prism is the product of the base area and the height of the prism. Here, we can take the "base" to be the front face of the assembly, and its "height" to be the 3 cm distance between the front and back faces.

The front face area is the sum of the triangle area and the rectangle area.

A = 1/2bh + LW

A = (1/2)(10 cm)(4 cm) + (16 cm)(2 cm) = 52 cm²

Then the volume is ...

V = Bh = (52 cm²)(3 cm) = 156 cm³ . . . . total volume of the two blocks

8 0

3 years ago

Find the value of x in the triangle (not drawn to scale.)

AlekseyPX

Your answer would be 29

Why?

Because that is a right angle. They always have to be 90° so 90-61=29

6 0

3 years ago

At a book sale, all books cost less than $5.

Arada [10]

Answer: b<5

Step-by-step explanation:

B Represnts the books and 5 is the 5 dollars so then 5 is greater than b and since 5 dollars is greater than the books price then you should be b<5.

this should be right.

Hoped this helped

6 0

3 years ago

Angela is going on vacation to Mexico. She needs to buy new shirts for her trip. She buys 10 new shirts that cost her a total of

vivado [14]

Angela purchased 4 casual shirts and 6 dressy shirts.

$25 × 6 = $150
$18 × 4 = $72

$150 + $72 = $222

hope this helped :)

8 0

3 years ago

A ferry will safely accommodate 82 tons of passenger cars. Assume that the meanweight of a passenger car is 2 tons with standard

Shalnov [3]

Answer:

The probability that the maximum safe-weight will be exceeded is <u>0.0455 or 4.55%</u>.

Step-by-step explanation:

Given:

Maximum safe-weight of 37 cars = 82 tons

∴ Maximum safe-weight of 1 car (x) = 82 ÷ 37 = 2.22 tons (Unitary method)

Mean weight of 1 car (μ) = 2 tons

Standard deviation of 37 cars = 0.8 tons

So, standard deviation of 1 car is given as:

$\sigma=\frac{0.8}{\sqrt{37}}=0.13$

Probability that maximum safe-weight is exceeded, P(x > 2.22) = ?

The sample is normally distributed (Assume)

Now, let us determine the z-score of the mean weight.

The z-score is given as:

$z=\frac{x-\mu}{\sigma}\\\\z=\frac{2.22-2}{0.13}\\\\z=\frac{0.22}{0.13}=1.69$

Now, finding P(x > 2.22) is same as finding P(z > 1.69).

From the z-score table of normal distribution curve, the value of area under the curve for z < 1.69 is 0.9545.

But we need the area under the curve for z > 1.69.

So, we subtract from the total area. Total area is 1 or 100%.

So, $P(z > 1.69) = 1 - P(z < 1.69)$

$P(z>1.69)=1-0.9545=0.0455\ or\ 4.55\%$

Therefore, the probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.

8 0

3 years ago