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3 years ago

7

Samaria has 6 more than three times as many pieces of candy as sydney. samaria has 36 pieces of candy. how many does sydney have

?

2 answers:

hram777 [196]3 years ago

5 0

36- 6 = 30
30 divided by 3 = 10
sydney only has 10 pieces of candy

lesya [120]3 years ago

4 0

For this case we have:

x: Number of candies that Sydney has

The equation to find the amount of Sydney sweets is given by:

$3x + 6 = 36$

We want to clear x:

$3x = 36-63x = 30$

$x = \frac{30}{3}$

$x = 10$

So, Sydney has 10 candies

Answer:

Sydney has 10 candies

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Romashka [77]

Answer:

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Step-by-step explanation:

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3 years ago

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How do you solve (Arc)QPT if <QZT = 120

yuradex [85]

By definition, the arc length is given by:
arc = R * theta * ((2 * pi) / 360)
Where,
theta: angle in degrees
R: radio
We have then:
(Arc) QPT if <QZT = 120:
theta = 360-120 = 240 degrees
R = 13.5 units
Substituting values we have:
(Arc) QPT = R * theta * ((2 * pi) / 360)
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3 years ago

(x-2y=-5) (2x + 4y =14) what is the value of y

dusya [7]

Sub x=-5+2y
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6 0

3 years ago

g A certain financial services company uses surveys of adults age 18 and older to determine if personal financial fitness is cha

leva [86]

Answer:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

$z=\frac{0.410-0.35}{\sqrt{0.385(1-0.385)(\frac{1}{1000}+\frac{1}{700})}}=2.502$

$p_v =2*P(Z>2.502)= 0.0123$

Comparing the p value with the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportion analyzed is significantly different between the two groups at 5% of significance.

Step-by-step explanation:

Data given and notation

$X_{1}=410$ represent the number of people indicating that their financial security was more than fair for the recent year

$X_{2}=245$ represent the number of people indicating that their financial security was more than fair for the year before

$n_{1}=1000$ sample 1 selected

$n_{2}=700$ sample 2 selected

$p_{1}=\frac{410}{1000}=0.410$ represent the proportion estimated of indicating that their financial security was more than fair this year

$p_{2}=\frac{245}{700}=0.35$ represent the proportion estimated of indicating that their financial security was more than fair the year before

$\hat p$ represent the pooled estimate of p

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

$\alpha$ significance level given

Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference between the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{410+245}{1000+700}=0.385$

z-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.

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.410-0.35}{\sqrt{0.385(1-0.385)(\frac{1}{1000}+\frac{1}{700})}}=2.502$

Statistical decision

Since is a two sided test the p value would be:

$p_v =2*P(Z>2.502)= 0.0123$

Comparing the p value with the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportion analyzed is significantly different between the two groups at 5% of significance.

7 0

3 years ago

How to write out a one-step equation for a word problem. Maggie spent half of the money in her savings account on a new computer

Fittoniya [83]

Answer:

(1/2)s = 345

s = 690 (Maggie's savings balance)

Step-by-step explanation:

For any problem, word problem or otherwise, you start be reading and understanding the problem. You should specifically look for

what you're being asked to find (what is the question to answer)
the information you're given that is relevant to the question asked.

Here, you're asked to find a savings account balance. You're told that $345 is half that amount.

__

After you decide what you're looking for and the given relevant information, you use the problem statement and your personal knowledge to write one or more equations relating what you know to what you want to find.

A first step for doing this is to define any necessary variables. In this problem, we can use "s" for the original savings balance (in dollars). (I like to choose letters that remind me what they stand for. "x" or "y" can sometimes get mixed up. For a one-variable problem, it doesn't really matter what you call it. It is helpful to be clear about the units of measure of any variables. Confusion there can also lead to errors.)

The problem statement tells us that half the savings account amount is $345, so our equation is ...

(1/2)s = 345

__

The "one step" required to solve this so to multiply both sides of the equation by 2.

s = 690

Maggie had $690 in her savings account before she bought the computer.

5 0

3 years ago