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2 years ago

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Rita has 3/4 gallon of lemonade she pours 1/24 gallon of lemonade into each glassk Rita has 3/4 gallons of lemonade she pours on

e 24 gallon of lemonade into each glass how many glasses of lemonade can she pour

1 answer:

ira [324]2 years ago

8 0

Answer:

18 number of glasses of lemonade can she pour

Step-by-step explanation:

Unit rate defined as rates are expressed as a quantity of 1, such as 3 feet per second or 8 miles per hour, they are called unit rates.

As per the statement: Rita has 3/4 gallon of lemonade she pours 1/24 gallon of lemonade into each glass.

Number of lemonade Rita has = 3/4 gallon

$\text{Unit rate per glass} = \frac{1}{24} \text{gallons}$

By definition of unit rate;

$\text{Number of glasses} = \frac{\text{Number of lemonade}}{\text{Unit rate per glass}}$

Substitute the given values we get;

$\text{Number of glasses} = \frac{\frac{3}{4}}{\frac{1}{24}}$

$\text{Number of glasses} = \frac{3}{4} \times 24 = 3 \times 6 = 18$

Therefore, number of glasses of lemonade can she pour is, 18

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Learn with an example

aksik [14]

22% of $44,550
=9801

44,550-9801
=$34,749

7 0

2 years ago

According to Inc, 79% of job seekers used social media in their job search in 2018. Many believe this number is inflated by the

Fynjy0 [20]

Answer:

Null hypothesis: $p\leq 0.79$

Alternative hypothesis: $p > 0.79$

$z=\frac{0.849 -0.79}{\sqrt{\frac{0.79(1-0.79)}{370}}}=2.786$

$p_v =P(z>2.786)=0.00267$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the true proportion is higher than 0.79.

Step-by-step explanation:

1) Data given and notation

n=750 represent the random sample taken

X=314 represent the respondents that use social media in their job search.

$\hat p=\frac{314}{370}=0.849$ estimated proportion of respondents that use social media in their job search

$p_o=0.79$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is hgiher than 0.79.:

Null hypothesis: $p\leq 0.79$

Alternative hypothesis: $p > 0.79$

When we conduct a proportion test we need to use the z statisticc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.849 -0.79}{\sqrt{\frac{0.79(1-0.79)}{370}}}=2.786$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>2.786)=0.00267$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the true proportion is higher than 0.79.

7 0

2 years ago

Help me please tryna finish

sukhopar [10]

Well the X intercept is a coordinate point where there is a unique value to X coordinate, other than 0. Since the graph touches the X axis to the left of the graph, the X intercept would be negative. More specifically it would be (-3,0).

7 0

3 years ago

I need Help i only have 5 mins left of Class untill this due Make sure u show the answer

MrRa [10]

Answer:

Step-by-step explanation:

Question One

Since there are four questions here, I'm going to take some short cuts.

This is a rectangle with 2 equal semicircles. That makes a whole circle.

The diameter of this circle is 16 - 12 = 4

Edit This question was originally incorrect.

So

Circle

Circle = pi*d

Circle = 3.14 * (d)

Circle = 3.14 * 4

Circle = 12.56

Rectangle

Lengths = The perimeter includes 2 lengths.

Lengths = 2 * 12 = 24

Lengths = 24

Total Perimeter

36.56

Answer A

Question Two

Circle

The radius of the circle is 9

The area of the circle is A = pi * r^2

Area of the circle is A = 3.14 * 9^2

Area of the circle is A = 254.34

Square

S (the side = 2*radius

S = 2*9

S = 18

Area of the square = 18^2

Area of the square = 324

Area of the Shaded Part

Area of the shaded Part = 324 - 254.34

Area of the Shaded Part = 69.66

Looks like C is the right Answer

Problem 3

<u>Triangle</u>

b = 8.8

h = 7.8

Area = 1/2 * b * h

Area = 1/2 * 8.8 * 7.8

Area = 34.32

<u>Rectangle holding the triangle up</u>.

Width = 8.8 - 2*3

Width = 8.8 - 6

Width = 2.8

Length = 19.2 - 7.8

Length = 11.4

Area = L * w

Area = 2.8 * 11.4

Area = 31.92

<u>Total Area </u>= 31.92 + 34.32 = 66.24

It looks like some rounding was done. The closest answer is B

Grandma's Garden has been done elsewhere.

5 0

2 years ago

Find the equivalent exponential expression (11^5)^2

kobusy [5.1K]

The equivalent exponential expression of (11^5)^2 is 11^10.

We have given that,

$\left(11^5\right)^2$

We have to determine the equivalent exponential expression (11^5)^2.

<h3>What is the exponent rule?</h3>

$\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc},\:\quad \:a\ge 0$

Therefore we get,

$=11^{5\cdot \:2}$

$\mathrm{Multiply\:the\:numbers:}\:5\cdot \:2=10$

$=11^{10}$

Therefore the equivalent exponential expression of (11^5)^2 is 11^10.

To learn more about the exponential expression visit:

brainly.com/question/8844911

#SPJ1

3 0

1 year ago