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3 years ago

10

Nancy wants to put a bird seed mix in her birdfeeder the mixes 20% wild bird seed and 80% sunflower seed your birdfeeder can hol

d 8 cups of bird seed how much wild bird seed does she need to fill the birdfeeder

1 answer:

Anika [276]3 years ago

8 0

20 ÷ 2 = 10 ℅
8 ÷ 2 = 4 = 10 ℅
4 • 8 = 80 ℅ = 32 cups of wild bird seed

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The following data give the annual salaries (in thousand dollars) of 20 randomly selected health care workers. 50 72 56 38 46 65

Afina-wow [57]

Answer:

So, the interquartile range is IQR=22.5.

Step-by-step explanation:

Let us write the numbers in ascending order:

34, 37, 38, 40, 44, | 46, 50, 51, 55, 56, |

57, 61, 62, 65, 65, | 68, 68, 72, 73, 76.

We calculate quartile 1:

$Q_1=\frac{44+46}{2}=45$

We calculate quartile 2:

$Q_2=\frac{56+57}{2}=56.5\\$

We calculate quartile 3:

$Q_3=\frac{65+68}{2}=67.5\\$

We calculate the interquartile range:

$IQR=Q_3-Q_1\\\\IQR=67.5-45\\\\IQR=22.5$

5 0

3 years ago

Point A is located at (?5, 2) on a coordinate grid. Point A is translated 1 unit to the left and 5 units down to create point A'

svp [43]

ANSWER

C) 5.1 units

EXPLANATION

The coordinates of A are (5,2).

If this point is translated 1 unit to the left and 5 units down to create point A'.

Then A' has coordinates

$A(5,2)\rightarrow \: A'(5-1,2-5)$

$A(5,2)\rightarrow \: A'(4, - 3)$

The distance between A and A' is calculated using the distance formula,

$|AA'| = \sqrt{ {(5 - 4)}^{2} + {(2 - - 3}^{2} }$

$|AA'| = \sqrt{ {(1)}^{2} + {(5)}^{2} }$

$|AA'| = \sqrt{ 26}$

$|AA'| = 5.099$

We round to the nearest tenth to obtain,

$|AA'| =5.1 \: units$

The measurement that is closed to the distance is 5.1 units

4 0

4 years ago

A family swimming pool holds 60m2 of water. The function below gives the cubic

adelina 88 [10]

Answer:

58.74 cubic meters

Step-by-step explanation:

The function is actually $f(x)=60-0.18x$

Here x is the number of days and the corresponding value of "f(x)" would be the water REMAINING after x days.

Since, we want to figure out how much water (from 60 m^3) is remaining after 7 days, we simply have to plug in x = 7 into the function. Whatever number we get, is the AMOUNT OF WATER REMAINING AFTER 7 DAYS.

So,

$f(x)=60-0.18x\\f(7)=60-0.18(7)\\=58.74$

Thus, the amount of water remaining in the pool after 7 days is 58.74 cubic meters

3 0

3 years ago

A company claims that less than 10% of adults own a smart watch. You want to test this claim, and you find that in a random samp

Nezavi [6.7K]

Answer:

Test statistic is 0.67

Critical value is -2.33

Step-by-step explanation:

Consider the provided information.

The formula for testing a proportion is based on the z statistic.

$z=\frac{\hat p-p_0}{\sqrt{p_0\frac{1-p_0}{n}}}$

Were $\hat p$ is sample proportion.

$p_0$ hypothesized proportion and n is the smaple space,

Random sample of 100 adults, 12% say that they own a smart watch.

A company claims that less than 10% of adults own a smart watch.

Therefore, n = 100 $\hat p$ = 0.12 , $P_0$ = 0.10

$1 - P_0 = 1 - 0.10 = 0.90$

Substitute the respective values in the above formula.

$z=\frac{0.12-0.10}{\sqrt{0.10\frac{0.90}{100}}}$

$z\approx 0.67$

Hence, test statistic = 0.67

This is the left tailed test.

Now using the table the P value is:

P(z < 0.667) = 0.7476

P-value = 0.7476

$\alpha = 0.01$

Here, P-value > α therefore, we are fail to reject the null hypothesis.

$Z_{\alpha}= Z_{0.01} = -2.33$

Hence, Critical value is -2.33

7 0

3 years ago

Find 4% of 25. please show work

sattari [20]

Multiply 25 by .04 (change percent to decimal by moving the decimal two places to the right) You will get one. So four percent of 25 is one.

25x.04=1

3 0

3 years ago