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2 years ago

Which statement is true about the difference 2 square root of 7 − square root of 28 ?

Mathematics

1 answer:

boyakko [2]2 years ago

5 0

I'll go slow:

$2\sqrt 7 - \sqrt{28}$

$=2 \sqrt 7 - \sqrt{4 \cdot 7}$

$=2 \sqrt 7 - \sqrt{4} \cdot \sqrt{7}$

$=2 \sqrt7 - 2 \sqrt 7$

$=0$

Answer: B rational and equal to 0.

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A sphere has a volume of approximately 113 cubic units. Which of the following best represents the radius of the sphere?

Kitty [74]

Answer:

H. 3 units

Step-by-step explanation:

In order to answer this question, we have to apply the formula for the sphere volume. The formula is:

$V=\frac{4}{3} \pi r^{3}$

Plugging the given number into V, we calculate that:

$113 = \frac{4}{3}\pi r^{3}\\84.75 = \pi r^{3} \\$

If π=3.14, the radius is:

r ≈ 3 units.

4 0

2 years ago

triangle has sides measuring 2 inches and 7 inches If x represents the length in inches of the third side which inequality gives

il63 [147K]

We know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)
so
inequality 1
 $(2+7) \ \textgreater \ x \\ 9 \ \textgreater \ x \\ x \ \textless \ 9 in$

inequality 2
 $(x+2) \ \textgreater \ 7 \\ x \ \textgreater \ 7-2 \\ x \ \textgreater \ 5 in$

the answer is
 $5 in \ \textless \ x \ \textless \ 9 in$

6 0

2 years ago

The number of gift baskets Penelope can make varies directly with the amount of time she spends making the baskets.

insens350 [35]

She can make 40 baskets in 5 hours because in 1 hour she can make 8 so 8 times 5 is 40

3 0

2 years ago

Read 2 more answers

The contingency table below gives the counts of students by activities and gender. Band Sports Debate Total Male 105 320 7 432 F

Ber [7]

Answer:

599/711

Step-by-step explanation:

Band Sports Debate Total

Male 105 320 7 432

Female 105 160 14 279

Total 210 480 21 711

P(female or plays sports)

We want the probability that they are female or play sports, but we cannot double count the female sports players, so we subtract them

P(female) + P (sports) - (female and sports)

female/total + sports/total - female sports/ total

279/711 + 480/711 - 160/711

599/711

6 0

2 years ago

A survey of 120 twelfth-graders finds that 36% were carrying more than $15 on the day of the survey. Use the margin of error to

-Dominant- [34]

Answer:

An interval that will likely include the proportion of students in the population of twelfth-graders who carry more than $15 is 960

Step-by-step explanation:

For example, Condition 1: n(.05)≤N

• The sample size (10) is less than 5% of the population (millions of musicians), so

the condition is met.

• Condition 2: np(1-p)≥10

• =

= .2

• 1 − = 10 .2 1 − .2 = 1.6 . This is less than 10 so this condition is not

met.

It would not be practical to construct the confidence interval.

3 0

2 years ago