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2 years ago

HELP PLEASE BE QUICK WILL GIVE BRAINLIEST.

Mathematics

1 answer:

Oxana [17]2 years ago

8 0

Answer:

Step-by-step explanation:

the line crosses the 7 on the y axis

i hope this is correct

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The numbers 2/1/3,h,k,7/7/8 firm a geometric progression. find the value of h and of k

taurus [48]

$\text{We have }\ 2\dfrac{1}{3},\ h,\ k,\ 7\dfrac{7}{8}.\\\\\text{Convert the mixed numbers to the improper fractions}\\\\2\dfrac{1}{3}=\dfrac{2\cdot3+1}{3}=\dfrac{7}{3}\\\\7\dfrac{7}{8}=\dfrac{7\cdot8+7}{8}=\dfrac{63}{8}\\\\\text{If}\ a_1,\ a_2,\ a_3,\ a_4\ \text{is a geometric seqence, then:}\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=r\\\\a_2=a_1r\\\\\text{and}\ \dfrac{a_4}{a_1}=r^3\\\\\text{Substitute:}$

$r^3=\dfrac{\frac{63}{8}}{\frac{7}{3}}\\\\r^3=\dfrac{63}{8}\cdot\dfrac{3}{7}\\\\r^3=\dfrac{9\cdot3}{8\cdot1}\\\\r^3=\dfrac{27}{8}\to r=\sqrt[3]{\dfrac{27}{8}}\\\\r=\dfrac{3}{2}\\\\h=2\dfrac{1}{3}\cdot\dfrac{3}{2}=\dfrac{7}{3}\cdot\dfrac{3}{2}=\dfrac{7}{2}\\\\k=\dfrac{7}{2}\cdot\dfrac{3}{2}=\dfrac{21}{4}\\\\Answer:\ \boxed{h=\dfrac{7}{2}=3\dfrac{1}{2}\ and\ k=\dfrac{21}{4}=5\dfrac{1}{4}}$

8 0

3 years ago

What is equaled to 2 to the power of 8

yulyashka [42]

2 to the 8th power is 256.

It's the same as doing 2x2x2x2x2x2x2x2=256.

5 0

3 years ago

What times what is 216

ElenaW [278]

2 times 108 is 216
3 times 72 is 216
4 times 54 is 216
6 times 36 is 216

7 0

3 years ago

You want to save $10,000 to buy a new car You doposit 6500in an account earning 7.5% simple interest. After how long will you ha

Stells [14]

Answer:

After 7.5 years we will have enough money in the account to purchase the car.

Step-by-step explanation:

Amount needed to be saved = $10000

Principal = $6500

So, Simple Interest = $3500

Rate of Interest = 7.5%

= 0.075

Now, Simple Interest = Principal × Rate × Time

⇒ 3500 = 6500 × 0.075 × Time

⇒ 3500 = 487.5 × Time

⇒ Time = 7.18 years ≈ 7.5 years

Hence, after 7.5 years we will have enough money in the account to purchase the car.

Step-by-step explanation:

7 0

3 years ago

The owner of a small deli is trying to decide whether to discontinue selling magazines. He suspects that only 10% of his custome

Rainbow [258]

Answer:

0.55% probability that exactly 5 out of the first 13 customers buy a magazine

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they buy a magazine, or they do not. The probability of a customer buying a magazine is independent of other customers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$