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N76 [4]
3 years ago
6

Roberto's toy car travels at 40 centimeters per second (cm/sec) at high speed and 25 cm/sec at low speed. If the car travels for

30 seconds at high speed and then 51 seconds at low speed, what distance would the car have traveled?
Mathematics
2 answers:
I am Lyosha [343]3 years ago
6 0

Answer:

2475 cm

Step-by-step explanation:

We are given that Roberto's toy car travels 40 cm/sec at high speed and 25 cm/sec at low speed.

We have to find that the distance would have the car traveled

Speed of car at high speed=40 cm/sec

Speed of car at low speed=25 cm/sec

If car  takes time to travel at high speed=30 seconds

If car takes time to travel  at low speed=51 seconds

Distance=speed\times time

Using this formula

Distance traveled by the car at high speed=40\times 30=1200 cm

Distance traveled by the car at low speed=51\times 25=1275 cm

Total distance traveled by the car =1200+1275=2475 cm

Hence, the distance  would have traveled by the car=2475 cm

Lesechka [4]3 years ago
3 0
HIGH SPEED= 40*30=1200 cm
low speed=  25*51=1275 cm 
total= 1200+1275=2475 cm
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-9+b=3.5 what is the value of b?
Serggg [28]

Answer:

12.5

Step-by-step explanation:

In order to solve, we need to add 9 to both sides of the equation:

<u>Our sum applied:</u>

b=12.5

4 0
3 years ago
graph the solution to the following system of inequalities y&lt;-2x+7, y greater than or equal to 2x - 3 ​
Alex777 [14]

Answer:

See attached diagram

Step-by-step explanation:

Graph the solution of the inequality y First, draw the dotted line y=-2x+7 (dotted because the sign of the inequality is <). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (red part on the diagram).

Graph the solution of the inequality y\ge 2x-3. First, draw the solid line y=2x-3 (solid because the sign of the inequality is ≥). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (blue part on the diagram).

The intersection of both regions is the solution of the system of two inequalities.

6 0
3 years ago
A random sample of 850 births included 434 boys. Use a 0.10 significance level to test the claim that 51.5​% of newborn babies a
Molodets [167]

Answer:

A

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

z = -0.257

P value = P(Z<-0.257) = 0.797

Decision; we fail to reject the null hypothesis. That is, the results support the belief that 51.5​% of newborn babies are​ boys

Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 90% confidence interval) ---- reject Null hypothesis

Z score < Z(at 90% confidence interval) ------ accept Null hypothesis

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

Given;

n=850 represent the random sample taken

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size = 850

po = Null hypothesized value = 0.515

p^ = Observed proportion = 434/850 = 0.5106

Substituting the values we have

z = (0.5106-0.515)/√(0.515(1-0.515)/850)

z = −0.256677

z = −0.257

To determine the p value (test statistic) at 0.10 significance level, using a two tailed hypothesis.

P value = P(Z<-0.257) = 0.797

Since z at 0.10 significance level is between -1.645 and +1.645 and the z score for the test (z = -0.257) which falls with the region bounded by Z at 0.10 significance level. And also the one-tailed hypothesis P-value is 0.797 which is greater than 0.10. Then we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that at 10% significance level the null hypothesis is valid.

5 0
3 years ago
How would you put 0.1, 8/7, -1, 2/3, and 0.05 in least to greatest<br>​
tester [92]

Answer:

Step-by-step explanation:

-1  

0.1

.66

1.14

by the numbers it woud be

-1

0.1

2/3

8/7

7 0
3 years ago
What is the integer for -22 + (-16) =
natka813 [3]

Answer:

-38

Step-by-step explanation:

4 0
3 years ago
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