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Phoenix [80]
2 years ago
5

How to evaluate the expression

Mathematics
1 answer:
noname [10]2 years ago
4 0
[(-72) \div (-2)]^3 - (-7) \times (-10)

= [36]^3 - (-7) \times (-10)

=46656 - (-7) \times (-10)

=46656 - (70)

=46586

-------------------------------------


2^3 - 9 \times (2 - 4)

= 8 - 9 \times (-2)

= 8 - (-18)

= 8 + 18

= 26

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NEED HELP ASAP!!! Will give brainliest!!!
Gekata [30.6K]

Answer:

1, 4/5,2/5

Step-by-step explanation:

y = 5x

Let y = 5

5 = 5x

Divide by 5

5/5 =5x/5

1=x

Let y=4

4 =5x

Divide by 5

4/5 =5x/5

4/5 =x

Let y=2

2 =5x

Divide by 5

2/5 =5x/5

2/5 =x

5 0
3 years ago
At an end- of-season sale, a kid's pool was on sale for $168 . A sign advertised that this was 20% off the original price. What
Bogdan [553]

Answer: $134.40

Step-by-step explanation: Just find 80% of 168. That is because 100 - 20 is 80. The question says 20% OFF.

7 0
2 years ago
Read 2 more answers
Helen got a 7% reduction in the price of pair jeans that are normally $32. What is the approximate percent decrease in the price
Colt1911 [192]

A percentage is a way to describe a part of a whole. The approximate percent decrease in the price is 21.87%, thus, the correct option is B.

<h3>What are Percentages?</h3>

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given the reduction in the price is $7, while the original cost is $32. Therefore, the approximate percent decrease in the price is,

Percentage decrease = 7/32  × 100%

                                     = 21.87%

Hence, the approximate percent decrease in the price is 21.87%, thus, the correct option is B.

The correct question is:

Helen got a $7 reduction in the price of a pair of jeans that are normally $32. What is the approximate percent decrease in the price?

The percent decrease is approximately 15%.

The percent decrease is approximately 21%.

The percent decrease is approximately 43%.

The percent decrease is approximately 78%

Learn more about Percentages:

brainly.com/question/6972121

#SPJ1

3 0
1 year ago
In a study of the accuracy of fast food​ drive-through orders, Restaurant A had 229229 accurate orders and 7070 that were not ac
tiny-mole [99]

Answer:

a) 90% Confidence interval for true proportion of orders that are not accurate

= (0.194, 0.274)

In percentage terms, (19.4%, 27.4%)

b) Since the two confidence intervals overlap, neither restaurant appears to have a significantly different percentage of orders that are not accurate.

Step-by-step explanation:

a) Confidence Interval for the population proportion of orders that are not accurate is basically an interval of range of values where the true population proportion of orders that are not accurate can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample proportion) ± (Margin of error)

Sample proportion of orders that were not accurate = 70 ÷ (70 + 229) = 0.2341

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error)

Critical value at 90% confidence interval for sample size of (70+229=299) is obtained from the z-tables because although, the population standard deviation is not known, the sample size is large enough.

Critical value = 1.645 (from the z-tables)

Standard error of the mean = σₓ = √[p(1-p)/N]

p = sample proportion of orders that are not accurate = 0.2341

n = sample size = 299

σₓ = √(0.2341×0.7659/299) = 0.02449

95% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]

CI = 0.2341 ± (1.645 × 0.02449)

CI = 0.2341 ± 0.04028

90% CI = (0.19382, 0.27438)

90% Confidence interval = (0.194, 0.274)

b) Confidence Interval for true proportion of orders that are not accurate

For Restaurant A = (0.194, 0.274)

For Restaurant B = (0.216, 0.297)

There is overlap. For example, p = 0.235 is possible for both intervals, which means that both restaurants could have a 23.5% inaccuracy rate. If there was no overlap of the intervals, then it would be impossible for p to be the same value for both restaurants. So again, we could conclude that the restaurants could have the same inaccurate order rate due to the overlap. There just isn't enough evidence to suggest that the true percentage of orders that are not accurate for the 2 restaurants are very different.

Hope this Helps!!!

5 0
3 years ago
When the polynomial in P(x) is divided by (x + a), the remainder equals P(a).
Effectus [21]

According to Remainder Theorem for the polynomials, for every polynomial P(x) there exist such polynomials G(x) and R(x), that P(x)=(x\pm a)G(x)+R(x).


When the polynomial in P(x) is divided by (x + a), then there exist such polynomials G(x) and R(x), that P(x)=(x+a)G(x)+R(x). Note that for x=-a:


P(-a)=(-a+a)G(-a)+R(-a)=0·G(a)+R(-a)=R(-a).
This means that P(-a) is the remainder, not P(a). <span>
</span><span>Answer:<span> correct choice is B.</span></span>




3 0
3 years ago
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