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2 years ago

Last summer Karl went to the beach every 5 days Antonia went to the beach every 7 days . How often did they see each other?

Mathematics

1 answer:

Nata [24]2 years ago

7 0

They saw each other every 35 days because the gcf that they both go into is 35

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PLEASE HELP LOL<br> solve it then graph it

dybincka [34]

Answer:

Step-by-step explanation:

9.)

z + 3 > 2/3

z > -7/3

You want an unshaded dot on the point -7/3 going towards the right.

10.)

1/2 ≤ c - 3/4

5/4 ≤ c

You want a shaded dot on the point 5/4 going towards the left.

3 0

2 years ago

According to the last census (2010), the mean number of people per household in the United States is LaTeX: \mu = 2.58 Assume a

Veseljchak [2.6K]

Answer:

P(2.50 < Xbar < 2.66) = 0.046

Step-by-step explanation:

We are given that Population Mean, $\mu$ = 2.58 and Standard deviation, $\sigma$ = 0.75

Also, a random sample (n) of 110 households is taken.

Let Xbar = sample mean household size

The z score probability distribution for sample mean is give by;

Z = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)

P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar $\leq$ 2.50)

P(Xbar < 2.66) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{2.66-2.78}{\frac{0.75}{\sqrt{110} } }$ ) = P(Z < -1.68) = 1 - P(Z 1.68)

= 1 - 0.95352 = 0.04648

P(Xbar $\leq$ 2.50) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{2.50-2.78}{\frac{0.75}{\sqrt{110} } }$ ) = P(Z $\leq$ -3.92) = 1 - P(Z < 3.92)

= 1 - 0.99996 = 0.00004

Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046

7 0

2 years ago

The perimeter of (the distance around) ABCD is 66, and DC is twice as long as CB. How long is AB?

ArbitrLikvidat [17]

Answer:

$AB=22\ units$

Step-by-step explanation:

we know that

In this problem ABCD is a rectangle

DC=AB

BC=AD

Let

BC ---> the length of rectangle

DC ---> the width of rectangle

we know that

The perimeter of rectangle is equal to

$P=2(BC+DC)$

we have

$P=66\ units$

$66=2(BC+DC)$

simplify

$33=BC+DC$ ----> equation A

$DC=2BC$ ----> equation B

substitute equation B in equation A

$33=BC+2BC$

Solve for BC

Combine like terms

$33=3BC$

Divide by 3 both sides

$BC=11\ units$

<em>Find the value of DC</em>

$DC=2BC$ ----> $DC=2(11)=22\ units$

Remember that

DC=AB

therefore

$AB=22\ units$

3 0

2 years ago

Roger bought two plots of land for $120000. He sold the first plot and profited 15%. He sold the second plot and lost 10%. His t

Oxana [17]

X + y = 120000
0.15x - 0.10y = 5500

Multiply both sides of bottom by 100 to remove decimals

x + y = 120000
15x - 10y = 550000

Multiply both sides of top by 10

10x + 10y = 1200000
15x - 10y = 550000

Add the two

25x = 1750000
x = 70000
He paid $70,000 for the property that made a profit, and paid $50,000 for the property that lost value.

6 0

2 years ago

Read 2 more answers

What is 0.512 as a percentage

Sonja [21]

Answer:

51.2%

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers