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nika2105 [10]
3 years ago
5

Evaluate the expression 3.5x when x is 2.

Mathematics
2 answers:
Vesna [10]3 years ago
8 0

Answer:

X= 7

Step-by-step explanation:

Since x= 2 you would plug it in 3.5 times 2 = 7

Sliva [168]3 years ago
7 0

Answer:

7

Step-by-step explanation:

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The perimeter of a rectangular table is 20 feet. The width of the table is 3 feet. What is the length of the table
lyudmila [28]

Answer:

7 ft

Step-by-step explanation:

Perimeter of a rectangle is denoted by the formula: P=2l+2w , where l is the length and w is the width.

We know that P = 20 and that w = 3. So, let's plug these values in:

20 = 2l+2*3=2l+6

Isolate the variable l by subtracting 6 from both sides and dividing by 2:

2l=20-6=14

l=7

Thus, the answer is 7 feet.

Hope this helps!

8 0
3 years ago
Read 2 more answers
At a high school basketball game the Lions and the Eagles are playing. The Lions attempted 18 free throws and made 10, attempted
rodikova [14]

Answer:

(a) 55.6%

(b) 45.0%

(c) 38.5%

(d) 27.1%

(e) 64

(f) 47

(g) The Lions

Step-by-step explanation:

(a) Free throw % for Lions is

\dfrac{10}{18}\times 100\% = 55.6\%

(b) Free throw % for Eagles is

\dfrac{9}{20}\times100\% = 45\%

(c) For the Lions, they attempted a total of 51 + 14 = 65 field goals and made 21 + 4 = 25.

Field goal % for Lions is

\dfrac{25}{65}\times100\% = 38.5\%

(d) For the Eagles, they attempted a total of 45 + 14 = 59 field goals and made 10 + 6 = 16.

Field goal % for Eagles is

\dfrac{16}{59}\times100\% = 27.1\%

(e) Total points by Lions = (10 × 1) + (21 × 2) + (4 × 3) = 10 + 42 + 12 = 64

(f) Total points by Eagles = (9 × 1) + (10 × 2) + (6 × 3) = 9 + 20 + 18 = 47

(g) The Lions won because they had more points.

4 0
3 years ago
Read 2 more answers
The manufacturer of an airport baggage scanning machine claims it can handle an average of 530 bags per hour. (a-1) At α = .05 i
fenix001 [56]

Answer:

Null hypothesis:\mu \geq 250        

Alternative hypothesis:\mu < 250  

p_v =P(t_{15}    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not significantly lower than 530 at 5% of significance.      

Step-by-step explanation:

1) Data given and notation        

\bar X=510 represent the mean for the sample    

s=50 represent the standard deviation for the sample  

n=16 sample size        

\mu_o =530 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.      

t would represent the statistic (variable of interest)        

p_v represent the p value for the test (variable of interest)    

2) State the null and alternative hypotheses.        

We need to conduct a hypothesis in order to determine if the claim thet the handle on average is 530 bags per hour:      

Null hypothesis:\mu \geq 530        

Alternative hypothesis:\mu < 530        

We don't know the population deviation and the sample size is lees than 30, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:        

t=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)        

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

3) Calculate the statistic        

We can replace in formula (1) the info given like this:        

t=\frac{510-530}{\frac{50}{\sqrt{16}}}=-1.60        

4) Calculate the critical value

We need to begin calculating the degrees of freedom

df=n-1=16-1=15

The critical value for this case would be :

P(t_{15}

The value of a that satisfy this on the normal standard distribution is a=-1.75 and would be the critical value on this case zc=-1.75

5) Calculate the P-value        

Since is a one-side upper test the p value would be:        

p_v =P(t_{15}    

6) Conclusion        

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not significantly lower than 530 at 5% of significance.      

8 0
3 years ago
At breakfast, restaurant charges $2 for the first cup of orange juice and then $1 for each refill which graph represents this si
liq [111]

Answer:

line

Step-by-step explanation:

y= 2+(x-1)*1= x+1

y=x+1

linear function, the graph is going to be a line

6 0
3 years ago
Read 2 more answers
DESCRIBE
Vanyuwa [196]

Answer:

It represents the height between Hank and Tim on the Mountain/ Or how much higher is Tim than Hank.

Step-by-step explanation:

Since Tim is higher than Hank on the Mountain, and he is on 33 above, and Hank is 126 feet below, this represents the height between Hank and Tim on the Mountain.

8 0
2 years ago
Read 2 more answers
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