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ivolga24 [154]
3 years ago
5

If your grocery bill total was $205.67 and was reduced to $145.90 after coupons, what was the percent decrease? Round to the nea

rest whole percent.
Mathematics
1 answer:
anzhelika [568]3 years ago
7 0

Answer:

Step-by-step explanation:

start by subtracting the original value from the reduced value.

205.67-145.90=59.77

now compare the change of rate

59.77=r(205.67)

59.77/205.67=r

r=29%

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Helga [31]
First note that x\ge0; otherwise \sqrt{2x} is undefined as long as we're only looking for real solutions.

We can write

\sqrt{2x}+12=x+8
\sqrt{2x}=x-4
2x=(x-4)^2
2x=x^2-8x+16
x^2-10x+16=0
(x-8)(x-2)=0

\implies x=8,x=2
4 0
3 years ago
Formulas A=bh/2 A=bh and I have 6in 4in 6in 10in and I have to find the area
Naddik [55]

Answer:

Lots of "ifs" here.

A=bh/2 is the formula for the area of a triangle.

A=bh is the formula for the area of a rectangle or a parallelogram.

If the 6 & 4 area the base & height of a rectangle, then (6)(4) = 24 in^2

If the 6 & 10 are the base and height of a triangle, then 1/2(6)(10) = 30 in^2

Step-by-step explanation:

6 0
3 years ago
(b) Three objects are brought close to each other, two at a time. When objects A and B are brought together, they repel. When ob
zheka24 [161]

Answer:

Step-by-step explanation:

When A and B are brought together then they repel i.e. A and B have same charge, either negative or positive

When B and C are brought together then they also repel. This implies that nature of charge on  B and C is same          

4 0
3 years ago
Solve for x show all work
Marina86 [1]

Answer:

x = 6•3 == 18

18² = 324

324 + 2 + 11 = 337

<h2>337</h2>

Step-by-step explanation:

Order of Operations; PEMDAS

Parentheses

Exponents

Multiplication <u>& Division</u> <em>(Left to Right) (ex: 10x2÷5) You would do whatever comes left for Multiplication or Division.</em>

Addition <u>& Subtraction</u> <em>(Left to Right) (ex: 10-2+5) You would do whatever comes left for Addition & Subtraction.</em>

7 0
2 years ago
Read 2 more answers
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
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