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DaniilM [7]
3 years ago
12

How to do proportional relationships on the coordinate plane

Mathematics
1 answer:
Naddika [18.5K]3 years ago
3 0

Answer: A proportional relationship needs to pass through the origin and have a linear (straight) slope. Let me know if you need more specifics.

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A sandbox in the shape of a rectangular prism is 2 feet deep and 6 feet wide. Filled to the top it can hold 72 cubic feet of san
Sedbober [7]

Answer:

height=6 ft

Step-by-step explanation:

-The volume of a rectangular prism is given by the formula:

V=lwh

#We make h the subject of the formula the solve for it:

V=lwh\\\\\frac{V}{lw}=h\\\\\therefore h=\frac{V}{lw}

#Substitute to solve for height:

h=\frac{V}{lw}\\\\=\frac{72}{2\times 6}\\\\=6\ ft

Hence, the prism has a height of 6 ft.

6 0
2 years ago
Solve 3(x-4)=-5 for x​
makvit [3.9K]

Answer:

x=7/3

Step-by-step explanation:

3(x-4)=-5

3x-12=-5

3x=7

x=7/3

8 0
2 years ago
Read 2 more answers
A manager of a grocery store wants to determine if consumers are spending more than the national average. The national average i
strojnjashka [21]

The valid conclusions for the manager based on the considered test is given by: Option

<h3>When do we perform one sample z-test?</h3>

One sample z-test is performed if the sample size is large enough (n  > 30) and we want to know if the sample comes from the specific population.

For this case, we're specified that:

  • Population mean = \mu = $150
  • Population standard deviation = \sigma = $30.20
  • Sample mean = \overline{x} = $160
  • Sample size = n = 40 > 30
  • Level of significance = \alpha = 2.5% = 0.025
  • We want to determine if the average customer spends more in his store than the national average.

Forming hypotheses:

  • Null Hypothesis: Nullifies what we're trying to determine. Assumes that the average customer doesn't spend more in the store than the national average. Symbolically, we get: H_0: \mu_0 \leq \mu = 150
  • Alternate hypothesis: Assumes that customer spends more in his store than the national average. Symbolically H_1: \mu_0 > \mu = 150

where \mu_0 is the hypothesized population mean of the money his customer spends in his store.

The z-test statistic we get is:

z = \dfrac{\overline{x} - \mu_0}{\sigma/\sqrt{n}} = \dfrac{160 - 150}{30.20/\sqrt{40}} \approx 2.094

The test is single tailed, (right tailed).

The critical value of z at level of significance 0.025 is 1.96

Since we've got 2.904 > 1.96, so we reject the null hypothesis.

(as for right tailed test, we reject null hypothesis if the test statistic is > critical value).

Thus, we accept the alternate hypothesis that customer spends more in his store than the national average.

Learn more about one-sample z-test here:

brainly.com/question/21477856

3 0
1 year ago
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Factor completely 2x2 9x 4. (2x 2)(x 2) (2x 1)(x 4) (2x 4)(x 1) (2x 2)(x 4).
lozanna [386]

Factors of the given expression are (x+4), (2x+1)

Given expression is

2x^2 + 9x+4

<h3>What is a factor?</h3>

A factor is a number that divides another number completely.

Let us split the middle term as:

2x^2 + 8x + x+4\\\\2x(x+4)+1(x+4)\\\\(x+4) (2x+1)

Therefore, factors of the given expression are (x+4), (2x+1)

To get more about factors visit:

brainly.com/question/9781037

5 0
2 years ago
!!!!PLEASE HELP ASAP!!!!!WILL GIVE BRAINLIEST TO WHOEVER ANSWERS ALL PARTS!!!!!
LekaFEV [45]

Answer:

1/19

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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