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SCORPION-xisa [38]
3 years ago
14

Seventh grade > G.16 Add, subtract,

Mathematics
2 answers:
ollegr [7]3 years ago
7 0

Answer:

Ken bought 2/10 of a pond more of string beans then lima beans.

Step-by-step explanation:

1/2 = 5/10

7/10 - 5/10 = 2/10

2/10 = 1/5 if you need a more simplified answer.

Hope this helped!

ratelena [41]3 years ago
4 0

Answer:6/8

Step-by-step explanation:

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Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37
Mandarinka [93]

Answer:

The general rule is a_n = -2 - 5(n-1)

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

a_{n} = a_1 + (n-1)d

In which a_1 is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

a_n = a_m + (n-m)d

a3 = -12 and a8 = -37

First we find the common difference. So

a_n = a_m + (n-m)d

a_8 = a_3 + (8-3)d

-37 = -12 + 5d

5d = -25

d = -\frac{25}{5}

d = -5

So

a_n = a_1 - 5(n-1)

Finding the first term:

a_n = a_1 - 5(n-1)

Since a_3 = -12

a_n = a_1 - 5(n-1)

a_3 = a_1 - 5(3-1)

a_1 = a_3 + 10 = -12 + 10 = -2

So the general rule is:

a_n = a_1 - 5(n-1)

a_n = -2 - 5(n-1)

6 0
3 years ago
Provided<br> What is the value of 2 in the equation 60x = 360x
WARRIOR [948]
It would be 6 I hope I helped
6 0
3 years ago
A billing company that collects bills for​ doctors' offices in the area is concerned that the percentage of bills being paid by
omeli [17]

Answer:

1) A. H0: p = 0.30

HA: p not equal to 0.30

2) A. The Independence Assumption is met.

C. The Randomization Condition is met.

D. The Success/Failure Condition is met.

3) Test statistic z = 2.089

P-value = 0.0367

4) C. Reject H0. There is sufficient evidence to suggest that the percentage of bills paid by medical insurance has changed.

Step-by-step explanation:

1) This is a hypothesis test for a proportion.

The claim is that there is a significant change in the percent of bills being paid by medical​ insurance.

As we are looking for evidence of a difference, no matter if it is higher or lower than the null hypothesis proportion, the alternative hypothesis is defined by a unequal sign.

Then, the null and alternative hypothesis are:

H_0: \pi=0.3\\\\H_a:\pi\neq 0.3

2) Cheking the conditions:

The independence assumption and the randomization condition are met as the bills were selected randomly from the population.

The 10% condition can not be checked, as we do not know the size of the population.

The success/failure condition is met as the products np and n(1-p) are bigger than 10 (the number of successes and failures are both bigger than 10).

3) The significance level is assumed to be 0.05.

The sample has a size n=9260.

The sample proportion is p=0.31.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.3*0.7}{9260}}\\\\\\ \sigma_p=\sqrt{0.000023}=0.005

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.31-0.3-0.5/9260}{0.005}=\dfrac{0.01}{0.005}=2.089

This test is a two-tailed test, so the P-value for this test is calculated as:

\text{P-value}=2\cdot P(z>2.089)=0.0367

As the P-value (0.0184) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that there is a significant change in the percent of bills being paid by medical​ insurance.

5 0
3 years ago
The equilateral triangle has symmetry with respect to a line containing an altitude of the triangle
Gemiola [76]
Lol, I'm just answering that question right now. I haven't turned it in yet, but I believe the answer is true as all the sides of an equilateral triangle are equal.
5 0
3 years ago
Nadia is a stockbroker. She earns 4% commission when she sells stocks. Last week, she earned $288 in commission.
Tresset [83]

Answer:

a)The total amount of her  weekly stock sales  = $7,200

b) The total amount of her yearly stock sales  = $350,000

Step-by-step explanation:

(a)  Let us assume that the total a mount of her sales in a week  = $m

      Commission earned in a week = $288

      Now, 4 % of her total sales  = $288

      or, 4% of ($m)  = $288

    ⇒\frac{4}{100}  \times  m = 288

     or, m = \frac{288 \times 100}{4}   = 7,200

     ⇒ m = $7,200

Hence, the total amount of her  weekly stock sales  = $7,200

b)  Let us assume that the total amount of her sales in a year  = $k

     The total amount of commission earned  = $14,000

Now, 4 % of her total sales  = $14,000

      or, 4% of ($k)  = $14,000

    ⇒\frac{4}{100}  \times  k = 14,000

     or, k = \frac{14,000 \times 100}{4}   = 350,000

     ⇒ k = $350,000

Hence, the total amount of her yearly stock sales  = $350,000

8 0
3 years ago
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