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3 years ago

Do you guys know 1.2n-1.5=0.45n

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

4 0

Answer:

n = 2

Step-by-step explanation:

1.2n - 1.5 = 0.45n

collect like terms

1.2n - 0.45n = 1.5

0.75n = 1.5

divide both side by 0.75

0.75n/0.75 = 1.5/0.75

n =2

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2/3 cup of oatmeal is needed to make 10 granola bars. how many such granola bars can be made with 20 cups of oatmeal? Kindly ple

aleksandrvk [35]

2/3 cup of oatmeal - 10 granola bars

When the number of cups of oatmeal increases, the number of granola bars also increases.
If you use for example twice as many cups of oatmeal, you'll make twice as many granola bars.
Therefore, the first step is to calculate how many times 20 cups of oatmeal is more than 2/3 cup of oatmeal. To do it, divide 20 by 2/3.

$20 \div \frac{2}{3} = 20 \times \frac{3}{2}=\frac{60}{2}=30$

You have 30 times as many cups of oatmeal, so you'll make 30 times as many granola bars.

$10 \times 30= 300$

300 granola bars can be made with 20 cups of oatmeal.

5 0

3 years ago

Read 2 more answers

I really hope you can see it if you can’t please ask me what it says cause I really need help

soldier1979 [14.2K]

Answer:

1. 20 cm^2

2. 40 cm^2

3. 14 cm^2

4 49 cm^2

Step-by-step explanation:

Area of triangle= 1/2(base)*(height)

Area of rectangle= (base)*(height)

1. 1/2(10)(4)=20

2. (8)(5)=40

3.1/2(4)(7)=14

4. (7)(7)=49

5 0

3 years ago

Which answer choice represents an equivalent number sentence of "15 + (3 - 8)"?

frozen [14]

Answer:

A- 15-5 is the same

Step-by-step explanation:

15 + (3-8)

15 + (-5)

15-5

8 0

4 years ago

Read 2 more answers

(1 point) The cost of unleaded gasoline once followed an unknown distribution with a mean of $4.59 and a standard deviation of $

marin [14]

Answer:

a) unknown

b) 1.43% probability that the average price for 30 gas stations is less than $4.55.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

$\mu = 4.59, \sigma = 0.1$

a) What's the approximate probability that the average price for 16 gas stations is over $4.69?

Sample size less than 30 and unknow distribution. Therefore, the central limit theorem cannot be applied and the answer is unknown.

b) Find the probability that the average price for 30 gas stations is less than $4.55.

Now $n = 30, s = \frac{0.1}{\sqrt{30}} = 0.0183$

This probability is the pvalue of Z when X = 4.55. So

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{4.55 - 4.59}{0.0183}$

$Z = -2.19$

$Z = -2.19$ has a pvalue of 0.0143

1.43% probability that the average price for 30 gas stations is less than $4.55.

5 0

4 years ago

A series is defined by 5+9+13+17+.......+805 a. Find the number of terms of the series. b. Find the sum of the first 20 terms.

puteri [66]

Answer: the number of terms of the series is 201 numbers

the sum of the first 20 terms is 890

the number of terms of the series is $\frac{805-5}{4}+1=201$

the series have:

u1 = 5

d = 4

=> u(n) = 5 + 4.(n - 1)

=> u(20) = 5 + 19.4 = 81

so the sum of the first 20 terms is (81 + 5).20/2 = 890

( u1 is the first number of the series, d is the distance between front and rear numbers, u(n) is the overall term of the sequence, u(20) is the 20th of the series)

Step-by-step explanation:

3 0

3 years ago