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3 years ago

The ordered pair (-4,7) is found in which quadrant? A. 1 B. 2 C. 3 D. 4

Mathematics

2 answers:

alina1380 [7]3 years ago

5 0

Answer:

first quadrant

Step-by-step explanation:

NemiM [27]3 years ago

4 0

Since the x axis comes first the answer is quadrant 2 or B

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➥ The base of a parallelogram is thrice its height. If the area is 897 sq.cm. Find the base and height of the parallelogram.

IgorC [24]

Answer:

The height of parallelogram is 51.87 cm

Step-by-step explanation:

Let The height of a parallelogram = a cm

Then

The base of a parallelogram = 3a cm

So by the given condition

3a×a = 897

3a^2 = 897

a^2 = 897/3

a^2 = 299

a = 17.29

So the height of parallelogram = 3×17.29= 51.87 cm

6 0

3 years ago

A sample of 81 account balances of a credit company showed an average balance of $1,200 with a standard deviation of $126.

TEA [102]

Answer:

(a) Null Hypothesis, $H_0$ : $\mu$ = $1,150

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ $1,150

(b) The test statistic is 3.571.

(c) We conclude that the mean of all account balances is significantly different from $1,150.

Step-by-step explanation:

We are given that a sample of 81 account balances of a credit company showed an average balance of $1,200 with a standard deviation of $126.

We have test the hypothesis to determine whether the mean of all account balances is significantly different from $1,150.

Let $\mu$ = mean of all account balances

(a)So, Null Hypothesis, $H_0$ : $\mu$ = $1,150 {means that the mean of all account balances is equal to $1,150}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ $1,150 {means that the mean of all account balances is significantly different from $1,150}

The test statistics that will be used here is One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average balance = $1,200

s = sample standard deviation = $126

n = sample of account balances = 81

(b) So, test statistics = $\frac{1,200-1,150}{\frac{126}{\sqrt{81} } }$ ~ $t_8_0$

= 3.571

The value of the sample test statistics is 3.571.

(c) Now, P-value of the test statistics is given by the following formula;

P-value = P( $t_8_0$ > 3.571) = Less than 0.05%

Because in the t table the highest critical value for t at 80 degree of freedom is given between 3.460 and 3.373 at 0.05% level.

Now, since P-value is less than the level of significance as 5% > 0.05%, so we sufficient evidence to reject our null hypothesis.

Therefore, we conclude that the mean of all account balances is significantly different from $1,150.

8 0

3 years ago

I turn my dial on my stove 45degrees from the start position if i continue to turn the dial, how many degrees further will i nww

AveGali [126]

Answer:

315 degrees

Step-by-step explanation:

Assume that the dial is a perfect circle and therefore makes a full 360 degree rotation. If the dial is already turned 45 degrees, the rotation angle required to return all the way to the initial position is:

$A = 360 - 45\\A=315\ degrees$

You will need to rotate 315 degrees.

6 0

3 years ago

please HELP MEEEEEE .A store owner wants to make a candy that sells for $1 per pound.he has 50 lb of sugar candies that cost $1.

serious [3.7K]

Answer:

50 pounds

Step-by-step explanation:

we can use the equation 60+80/100x=1(x+50)

we get 80/100 x because the gummy candies are 80 cents or 80/100x

we get 60 from multiplying 1.20$ x 50 = 60

solve:

60+80/100x = x+50

60 = x-80/100x+50

60-50 = 20/100x

10 = 20/100x

x= 10 x 100/20 = 10x5= 50 pounds

4 0

3 years ago

Read 2 more answers

Which phrase best describes the scatterplot below? strong negative correlation strong positive correlation weak negative correla

s344n2d4d5 [400]

*the scatter plot of the question is attached below

Answer:

Strong negative correlation

Step-by-step explanation:

In the scatter plot attached below, as the variable in the x-axis increases, the variable on the y-axis decreases. Thus, if a line of best fit is drawn, it would show a line that slopes downwards to our right. This shows a negative correlation between both variables in the scatter plot.

Also, we also see that the data points represented on the scatter plot are clustered more closely along the slope, showing strong negative correlation.

Therefore, the phrase that best describes the scatter plot is: strong negative correlation.

3 0

3 years ago