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2 years ago

28. How much plain yogurt will you need to make 2 1/2 dozen cookies? Show your work.

Mathematics

1 answer:

xxMikexx [17]2 years ago

5 0

Answer:

$\frac{5}{6}$ cups

Step-by-step explanation:

Normally, when working with mixed numbers, I would prefer to turn them into improper fractions first before evaluating.

1 $\frac{1}{2}$ cookies --- $\frac{1}{2}$ cup plain yogurt

$\frac{3}{2}$ cookies --- $\frac{1}{2}$ cup plain yogurt

2 $\frac{1}{2}$ cookies --- ? cup plain yogurt

$\frac{5}{2}$ cookies --- $\frac{5}{3}$ × $\frac{1}{2}$ cup plain yogurt = $\frac{5}{6}$ cups plain yogurt

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Please help. thank you :)

Zina [86]

Answer:A

Step-by-step explanation: your answer is A

5 0

3 years ago

EASY MATH QUESTION <br><br> PLEASE HELP

Juli2301 [7.4K]

F(x)=3x^2-5 when x=-11
f(-11)=3(-11)^2-5
f(-11)=-33^2-5
f(-11)=1089-5
f(-11)= 1084

Hope this could help!

3 0

2 years ago

Suppose that the mean water hardness of lakes in Kansas is 425 mg/L and these values tend to follow a normal distribution. A lim

tino4ka555 [31]

Answer:

The mean water hardness of lakes in Kansas is 425 mg/L or greater.

Step-by-step explanation:

We are given the following data set:

346, 496, 352, 378, 315, 420, 485, 446, 479, 422, 494, 289, 436, 516, 615, 491, 360, 385, 500, 558, 381, 303, 434, 562, 496

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{10959}{25} =438.36$

Sum of squares of differences = 175413.76

$S.D = \sqrt{\dfrac{175413.76}{24}} = 85.49$

Population mean, μ = 425 mg/L

Sample mean, $\bar{x}$ = 438.36

Sample size, n = 25

Alpha, α = 0.05

Sample standard deviation, s = 85.49

First, we design the null and the alternate hypothesis

$H_{0}: \mu \geq 425\text{ mg per Litre}\\H_A: \mu < 425\text{ mg per Litre}$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{438.36 - 425}{\frac{85.49}{\sqrt{25}} } = 0.7813$

Now, $t_{critical} \text{ at 0.05 level of significance, 24 degree of freedom } = -1.7108$

Since,

The calculated t-statistic is greater than the critical value, we fail to reject the null hypothesis and accept it.

Thus, the mean water hardness of lakes in Kansas is 425 mg/L or greater.

6 0

3 years ago

What is the y intercept of the line 2x + 3y - 9 = 0

Sindrei [870]

$\hbox{y-intercept: } x=0 \\
2 \times 0+3 y -9=0 \\
3y-9=0 \\
3y=9 \\
y=\frac{9}{3} \\
\boxed{y=3}$

4 0

3 years ago

Find the area of the shape shown below.

bija089 [108]

Answer:

i think its 4,800

Step-by-step explanation:

multiply all the sides

5 0

2 years ago

Read 2 more answers