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SVETLANKA909090 [29]

3 years ago

5

Help me plsssssssssssssss

1 answer:

Monica [59]3 years ago

4 0

Step-by-step explanation:

This figure has 1 line of symmetry

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The graph shows the relationship between the price of frozen yogurt and the number of ounces of frozen yogurt sold at different

snow_lady [41]

Answer:

13

Step-by-step explanation:

If you look at where $5 crosses the line of best fit, you see it between 12 and 14 ounces. The answer is 13.

3 0

3 years ago

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The scale of a drawing is 1 unit : 6 feet. If the length of the model is 4 units and the width is 2.5, what is the length and wi

Maurinko [17]

Answer:

24 feet in lenght and 15 in width

Step-by-step explanation:

6 0

3 years ago

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Find the probability of selecting none of the correct six integers in a lottery, where the order in which these integers are sel

Andre45 [30]

Answer:

Step-by-step explanation:

Given

there are six integers to win a lottery

case-1 Integer not exceeding 40

no of ways to choose 6 incorrect numbers

$=\dfrac{^{34}C_{6}}{^{40}C_{6}}$

$=0.35$

Case-2 no of ways to choose 6 incorrect numbers out of 48 integers

$=\dfrac{^{42}C_{6}}{^{48}C_{6}}$

$=0.427$

Case-3 no of ways to choose 6 incorrect numbers out of 56 integers

$\dfrac{^{50}C_{6}}{^{56}C_{6}}$

$=0.489$

Cae-4 no of ways to choose 6 incorrect numbers out of 64 integers

$\dfrac{^{58}C_{6}}{^{64}C_{6}}$

$=0.54$

6 0

3 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 arc measure of abc in degrees

Virty [35]

<u>Given</u>:

The measure of arc AB is (4y + 6)°

The measure of arc BC is (20y - 11)°

The measure of arc AC is (7y - 7)°

We need to determine the measure of arc ABC.

<u>Value of y:</u>

The value of y is given by

$m \widehat{AB}+m \widehat{BC}+ m \widehat{AC}=360$

Substituting the values, we get;

$4y+6+20y-11+7y-7=360$

Adding the like terms, we have;

$31y-12=360$

Adding both sides of the equation by 12, we have;

$31y=372$

$y=12$

Thus, the value of y is 12.

<u>Measure of arc ABC:</u>

The measure of arc ABC can be determined by adding the measure of arc AB and arc BC.

Thus, we have;

$m \widehat{ABC}=m \widehat{AB}+ m \widehat{BC}$

$m \widehat{AB}+m \widehat {BC}=4y+6+20y-11$

$=24y-5$

Substituting y = 12, we get;

$m \widehat{AB}+m \widehat {BC}=24(12)-5$

$=288-5$

$m \widehat{AB}+m \widehat {BC}=283^{\circ}$

Thus, the measure of arc ABC is 283°

6 0

3 years ago