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4 years ago

How many solutions can be found in the equation 3y+5-2y=11

2 answers:

7 0

$\bf 3y+5-2y=11\\\\[-0.35em]\rule{34em}{0.25pt}\\\\3y-2y=11-5 \implies y=11-5\implies y=6\impliedby \textit{one solution}$

Flura [38]4 years ago

4 0

Answer:

There is only one

Step-by-step explanation:

3y + 5 − 2y = 11

y + 5 = 11

y = 6

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What is the solution to the equation x/3+x/6=7/2

Alchen [17]

Answer:

x = y

Step-by-step explanation:

x/3 + x/6 = 7/2

2x + x = 21

3x = 21

(divide 3 on both sides)

x = 7

5 0

2 years ago

Alan made $208 for 13 hours of work, At the same rate, how many hours would he have to work to make $ 128?

Ugo [173]

8 hours because he makes $16 an hour

5 0

3 years ago

18/24 = b/12 <br><br> Solve the proportion:

Lemur [1.5K]

Answer:

b=9

Step-by-step explanation:

18/24=3/4

3/4=b/12

cross product

4*b=3*12

4b=36

b=36/4

b=9

3 0

4 years ago

Calculate 5% of 88.5?

morpeh [17]

5% is just another way of writing 5/100

So we have 5/100 of 88.5 → 5100×88.5

This is the same as 5×88.5/100=5×0.885

But 5 is 1/2×10

So we can write 5×0.885 as 1/2×10×0.885

=1/2×8.85=4.425

hope it helps!

4 0

4 years ago

Read 2 more answers

Suppose 30% of the U.S. population has green eyes. If a random sample of size 1200 U.S. citizens is drawn, then the probability

galina1969 [7]

Answer:

P(X is less than 348) = 0.2148

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.3

Sample size = 1200

Let X be the random variable that obeys a binomial distribution. Then;

$X \sim Bin(n = 1200,p =0.3)$

The Binomial can be approximated to normal with:

$\mu = np = 1200 \times 0.3 \\ \\ \mu= 360$

$\sigma = \sqrt{np(1-p) } \\ \\ \sigma = \sqrt{1200 \times (0.3)(1-0.3) } \\ \\ \sigma = 15.875$

To find:

P(X< 348)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 348 lies between 347.5 and 348.5

Normal distribution:

x = 347.5, $\mu$ = 360, $\sigma$ = 15.875

Using the z test statistics;

$z = \dfrac{x - \mu}{\sigma}$

$z = \dfrac{347.5 - 360}{15.875}$

$z = \dfrac{-12.50}{15.875}$

z = -0.7874

z ≅ - 0.79

The p-value for P(X<347.5) = P(Z < -0.79)

From the z tables;

P(X<347.5) = 0.2148

Thus;

P(X is less than 348) = 0.2148

3 0

3 years ago