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mars1129 [50]
3 years ago
14

3x − y − 3z if x = −2, y = 1, and z = −2.

Mathematics
1 answer:
Pie3 years ago
5 0

Answer: -1

Step-by-step explanation:

3x − y − 3z           if x = −2      y = 1     z = −2

Step 1: 3(-2)-1-3(-2)

Step 2: -6-1+6

Step 3: -7+6

Step 4: -1

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A man goes 10m due east and 24m due north find the distance from the starting(pls help )
Mandarinka [93]

Answer:

26m

Step-by-step explanation:

10^2+24^2=26^2

7 0
3 years ago
Daniel had 4 times as many stickers as Adrian. He then put his stickers equally into 8 albums. If Adrain had 76 stickers, how ma
il63 [147K]
Daniel put 38 stickers in each album
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3 years ago
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The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
I am Lyosha [343]

Answer:

(a) The proportion of tenth graders reading at or below the eighth grade level is 0.1673.

(b) The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.198, 0.260).

Step-by-step explanation:

Let <em>X</em> = number of students who read above the eighth grade level.

(a)

A sample of <em>n</em> = 269 students are selected. Of these 269 students, <em>X</em> = 224 students who can read above the eighth grade level.

Compute the proportion of students who can read above the eighth grade level as follows:

\hat p=\frac{X}{n}=\frac{224}{269}=0.8327

The proportion of students who can read above the eighth grade level is 0.8327.

Compute the proportion of tenth graders reading at or below the eighth grade level as follows:

1-\hat p=1-0.8327

        =0.1673

Thus, the proportion of tenth graders reading at or below the eighth grade level is 0.1673.

(b)

the information provided is:

<em>n</em> = 709

<em>X</em> = 546

Compute the sample proportion of tenth graders reading at or below the eighth grade level as follows:

\hat q=1-\hat p

  =1-\frac{X}{n}

  =1-\frac{546}{709}

  =0.2299\\\approx 0.229

The critical value of <em>z</em> for 95% confidence interval is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the 95% confidence interval for the population proportion as follows:

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.229\pm 1.96\times \sqrt{\frac{0.229(1-0.229)}{709}}\\=0.229\pm 0.03136\\=(0.19764, 0.26036)\\\approx (0.198, 0.260)

Thus, the 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.198, 0.260).

5 0
3 years ago
Simplify 4 square root of 2 end root plus 7 square root of 2 end root minus 3 square root of 2
ehidna [41]

Answer:

8√2

Step-by-step explanation:

4√2 + 7√2 - 3√2 = (√2)(4 + 7 - 3) = 8√2

Recognize that √2 is a common factor and simply add its coefficients.

6 0
3 years ago
Read 2 more answers
A circular plate has circumference 16.3 inches. What is the area of this​ plate? Use 3.14 for pi.
serg [7]

Answer:

C = 2πr = 16.3

2(3.14)r = 16.3

r = 16.3/6.28

r = 2.5955414

Area:  A = πr2

A = 3.14(2.5955414)2

A = 21.15366242 in^{2}

Step-by-step explanation:

The answer would be 21.2 in^{2}

6 0
3 years ago
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