Solve for x. 20 points!

the problem is kamala had 5,026 grams flour in a canister.she brought a 4,158 gram bag of flour.she poured some flour from the

andrey2020 [161]

Hello,

x= amount of flour that she poured in the canister

there was 5,026 grams of flour, and now: 5,026+x

In the bag there was 4,158, now: 4,158

I says that as a result the mass of the flour in the canister is twice the mass of the flour left in the bag, so:

$5,026+x=2*(4,158-x) \\ 5,026+x=8,316-2x \\ 3x=8,316-5,026 \\ 3x=3,290 \\ x=1,096.67$

So, she poured 1,096.67 grams, we subtract this from the initial amount in the bag and we have the answer:

$4,158g-1,096.67=\boxed{3,061.33}$

Answer: there is 3,061.33 grams of flour in the bag

8 0

3 years ago

Ron is selling items at a craft show. The first hour his sales are $20. His sales grow by 10% each hour. What are Ron's total sa

olga nikolaevna [1]

C. $122.10

20 first hour
20+0.1*20 = 22 second hour
22+0.1*22 = 24.2 third hour
24.2+0.1*24.2 = 26.62 fourth hour
26.62+0.1*26.62 = 29.282 fifth hour
Total=$122.10

5 0

3 years ago

A random sample of 49 measurements from one population had a sample mean of 15, with sample standard deviation 5. An independent

kotykmax [81]

Answer:

Comparing the p value with the significance level $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and the difference between the two groups is significantly different.

Step-by-step explanation:

$\bar X_{1}=15$ represent the mean for sample 1

$\bar X_{2}=18$ represent the mean for sample 2

$s_{1}=5$ represent the sample standard deviation for 1

$s_{f}=6$ represent the sample standard deviation for 2

$n_{1}=49$ sample size for the group 2

$n_{2}=64$ sample size for the group 2

$\alpha=0.01$ Significance level provided

t would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{2}=0$

Alternative hypothesis: $\mu_{1} - \mu_{2}\neq 0$

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{s^2_{1}}{n_{1}}+\frac{s^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=49+64-2=111$

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

With the info given we can replace in formula (1) like this:

$t=\frac{(15-18)-0}{\sqrt{\frac{5^2}{49}+\frac{6^2}{64}}}}=-2.897$

P value

Since is a bilateral test the p value would be:

$p_v =2*P(t_{111}$

Comparing the p value with the significance level $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and the difference between the two groups is significantly different.

7 0

3 years ago

An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that

VikaD [51]

15% each yer
represented by
f(x)=60(1.15^x)

xintercept is when the function equals zero
since it increases only, it cannot equal zero and does not have an x intercept

after 4 years the investment value is 104
after 6 yaers value is 138.7
after 7.86 years the value is179.98 which is roughly 3 times of 60
8 years later183.54 close enough

answers
f(x)=60*1.15^x
after 7.86 years value is 3 times initioal value
after 8 years value is 184

4 0

3 years ago

Read 2 more answers

This past weekend Miss Thomas did some hallelujah shopping. She bought three presents and says that she has 30% of her shopping

Kaylis [27]

Answer: the number of presents that she has left to purchase is 6

Step-by-step explanation:

Let x represent the total number of presents that she has to purchase.

She bought three presents and says that she has 30% of her shopping finished. This means that she has finished (1/3 × x) = x/3 shopping. This is equivalent to 3 presents. Therefore,

x/3 = 3

x = 3×3 =9

She had 9 shopping to do

The number of shopping left will be total shopping that she has to do minus the shopping that she has done. It becomes

9 - 3 = 6

3 0

3 years ago