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3 years ago

. In the equation x/ 35 = 7, what is the value of x? A. 5 B. 7 End of exam C. 245 D. 35

1 answer:

4 0

I had this question on an exam I took a few days ago. The answer is C. 245.
I think you have to multiply 35 by both sides, cancel the 35 with the 35 on the left to leave only x, and multiply 7 by 35 which = 245

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4. At a local university 54.3% of incoming first-year students have computers. If 3 students are selected at random, and the fol

valentinak56 [21]

Answer:

a) 0.0954

b) 0.9045

c) 0.1601

Step-by-step explanation:

We are given the following information:

We treat first-year students having computers as a success.

P(first-year students have computers) = 54.3% = 0.543

Then the number of first year students follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 3

a) P(None have computers)

$P(x =0) \\\\= \binom{3}{0}(0.543)^0(1-0.543)^3\\\\= 0.0954$

b) P(At least one has a computer)

$P(x \geq 1) \\\\= \binom{3}{0}(0.543)^0(1-0.543)^3+\binom{3}{1}(0.543)^1(1-0.543)^2+\binom{3}{3}(0.543)^3(1-0.543)^0\\\\=0.3402+0.4042+0.1601= 0.9045$

c) P(All have computers)

$P(x =3) \\\\= \binom{3}{3}(0.543)^3(1-0.543)^0\\\\= 0.1601$

3 0

3 years ago

North ridge middle school collected 5,022 cans of food drive. each of the 18 homerooms collected about the same number of cans.

Sholpan [36]

Each home room had 279 cans
5,022 divided by 18 = 279
279 times 18 = 5,022 . answer: 279 cans per homeroom

6 0

3 years ago

Read 2 more answers

Given a circle with a diameter of 2/3, which equation expresses π as the ratio of the circumference of a circle to its diameter?

Advocard [28]

The circumference of a circle can be found using the equation: c = 2<span>πr, where c=circumference and r=radius.
The radius of the circle is also equal to half the diameter: r = </span> $\frac{1}{2} d$ , where r=radius and d=diameter.

Plug the equation for the radius of the circle into the equation for the circumference of the circle and simplify to get an equation that relates circumference and diameter:
$c = 2 \pi r\\
c = 2 \pi (\frac{1}{2} d)\\
c = \pi d$

Now solve that equation for π (aka isolate π) to get the ratio of the circumference to the diameter:
$c = \pi d \\
 \pi = \frac{c}{d}$

You know that the diameter, $d = \frac{2}{3}$ , so plug that into your ratio to get your answer. Remember that dividing by a fraction is equal to multiplying by the inverse of that fraction (aka the fraction flipped):
$\pi = \frac{c}{d}\\
\pi = \frac{c}{\frac{2}{3}}\\
\pi = c \times \frac{3}{2} \\
\pi = \frac{3c}{2} 
$

Your answer is B) <span>3C/2 = π. </span>

6 0

3 years ago

Read 2 more answers

Someone please help me

Inessa05 [86]

9514 1404 393

Answer:

A. 16°

Step-by-step explanation:

Angle E corresponds to angle N, the third angle in ∆MNO. Its measure is ...

∠N = 180° -∠M -∠O

∠N = 180° -99° -65°

∠N = ∠E = 16°

6 0

3 years ago

The sum of the measures of five interior angles of a hexagon is 593°. Find the missing measure of the sixth interior angle.

Natali5045456 [20]

General Formula for a n-gon:

$\boxed { \boxed { \text { (n-2) x 180}}}$

A hexagon has 6 sides.

Sum of all interior angles of a hexagon = (6 - 2) x 180 = 4 x 180 = 720°

Given that sum of 5 interior angles = 593°

6th interior angles = 720 - 593 = 127°

$\boxed { \boxed { \text {The 6th angle is 127\textdegree} }}$

7 0

3 years ago