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3 years ago

How many whole servings of 3/4 cups are in 3 1/2 cups of ice cream?

1 answer:

6 0

Well, what you're going to do is.. turn 3 1/2 into an irregular fraction.

3 = 6/2
we still have the initially 1/2 left so we will add that.
7/2

now we want to change it so that the denominator is equal to 4 so we multiply both top and bottom by 2

14/4

now we divide the 14 by 3 and you will get approximately 4. we will ignore the rest because it asks for whole servings and 3 only goes nicely into 14 4 times

You might be interested in

50.38 inches in 2012 in 2013 the annual rainfall was 55.76 inches what is the difference in rainfall between the two years

Leno4ka [110]

55.76-50.38=4.38 inches of rainfall
Your welcome =)
difference= subtraction

3 0

3 years ago

Algebra help

Vilka [71]

To determine the correct ordered pairs which will agree with the function, we can substitute values to the function and see whether it agree with each other. We do as follows:

(0,1)
 f(x)=128(0.5)^0
 f(x)=128

(1,64)
 f(x)=128(0.5)^1
f(x) = 64 <--------CORRECT ANSWER

(3,16)
 f(x)=128(0.5)^3
f(x) = 16 <--------CORRECT ANSWER

(8,0.5)
 f(x)=128(0.5)^8
f(x) = 1/2

Hope this answers the question. Have a nice day.

5 0

3 years ago

The solution set of the equation Ix-1I=3 is

vladimir2022 [97]

Answer:

x = - 2 or x = 4

Step-by-step explanation:

the expression inside the absolute value can be positive or negative

Removing the bars and solve x - 1 = ± 3

x - 1 = - 3 or x - 1 = 3

x - 1 = - 3 ( add 1 to both sides ) ⇒ x = - 2

x - 1 = 3 ( add 1 to both sides ) ⇒ x = 4

7 0

3 years ago

(20 points) Need help ASAP!!

ziro4ka [17]

1) 7; 5
2) 5; 25
3) 8; 15

5 0

3 years ago

The Damon family owns a large grape vineyard in western New York along Lake Erie. The grapevines must be sprayed at the beginnin

vazorg [7]

Answer:

$z=\frac{0.0955-0.0611}{\sqrt{0.08(1-0.08)(\frac{1}{440}+\frac{1}{360})}}=1.784$

$p_v =2*P(Z>1.784) =0.074$

Comparing the p value with the significance level given $\alpha=0.1$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that the two proportions differes at 10% of significance.

Step-by-step explanation:

Data given and notation

$X_{1}=42$ represent the number of infested vines for Pernod5

$X_{2}=22$ represent the number of infested vines for Action

$n_{1}=440$ sample of Pernod5

$n_{2}=360$ sample of Action

$\hat p_{1}=\frac{42}{440}=0.0955$ represent the proportion of residents of infested vines for Pernod5

$\hat p_{2}=\frac{22}{360}=0.0611$ represent the proportion of infested vines for Action

z would represent the statistic (variable of interest)

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

$\alpha=0.1$ 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 thw two population proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} - p_{2}=0$

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

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

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

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{42+22}{440+360}=0.08$

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:

$z=\frac{0.0955-0.0611}{\sqrt{0.08(1-0.08)(\frac{1}{440}+\frac{1}{360})}}=1.784$

Statistical decision

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

$p_v =2*P(Z>1.784) =0.074$

4 0

3 years ago